id	sid	tid	token	lemma	pos
bracis-33548	1	1	a	a	DET
bracis-33548	1	2	contrastive	contrastive	ADJ
bracis-33548	1	3	objective	objective	NOUN
bracis-33548	1	4	for	for	ADP
bracis-33548	1	5	 	 	SPACE
bracis-33548	1	6	training	train	VERB
bracis-33548	1	7	continuous	continuous	ADJ
bracis-33548	1	8	generative	generative	ADJ
bracis-33548	1	9	flow	flow	NOUN
bracis-33548	1	10	networks	network	NOUN
bracis-33548	1	11	|	|	ADV
bracis-33548	1	12	springer	springer	NOUN
bracis-33548	1	13	nature	nature	PROPN
bracis-33548	1	14	link	link	PROPN
bracis-33548	1	15	(	(	PUNCT
bracis-33548	1	16	formerly	formerly	ADV
bracis-33548	1	17	springerlink	springerlink	NOUN
bracis-33548	1	18	)	)	PUNCT
bracis-33548	1	19	skip	skip	VERB
bracis-33548	1	20	to	to	ADP
bracis-33548	1	21	main	main	ADJ
bracis-33548	1	22	content	content	NOUN
bracis-33548	1	23	advertisement	advertisement	NOUN
bracis-33548	1	24	log	log	NOUN
bracis-33548	1	25	in	in	ADP
bracis-33548	1	26	menu	menu	NOUN
bracis-33548	1	27	find	find	VERB
bracis-33548	1	28	a	a	DET
bracis-33548	1	29	journal	journal	NOUN
bracis-33548	1	30	publish	publish	VERB
bracis-33548	1	31	with	with	ADP
bracis-33548	1	32	us	we	PRON
bracis-33548	1	33	track	track	VERB
bracis-33548	1	34	your	your	PRON
bracis-33548	1	35	research	research	NOUN
bracis-33548	1	36	search	search	NOUN
bracis-33548	1	37	cart	cart	NOUN
bracis-33548	1	38	home	home	NOUN
bracis-33548	1	39	intelligent	intelligent	ADJ
bracis-33548	1	40	systems	system	NOUN
bracis-33548	1	41	conference	conference	NOUN
bracis-33548	1	42	paper	paper	NOUN
bracis-33548	1	43	a	a	DET
bracis-33548	1	44	contrastive	contrastive	ADJ
bracis-33548	1	45	objective	objective	NOUN
bracis-33548	1	46	for	for	ADP
bracis-33548	1	47	 	 	SPACE
bracis-33548	1	48	training	train	VERB
bracis-33548	1	49	continuous	continuous	ADJ
bracis-33548	1	50	generative	generative	ADJ
bracis-33548	1	51	flow	flow	NOUN
bracis-33548	1	52	networks	network	NOUN
bracis-33548	1	53	conference	conference	NOUN
bracis-33548	1	54	paper	paper	NOUN
bracis-33548	1	55	first	first	ADV
bracis-33548	1	56	online	online	ADV
bracis-33548	1	57	:	:	PUNCT
bracis-33548	1	58	30	30	NUM
bracis-33548	1	59	january	january	NOUN
bracis-33548	1	60	2025	2025	NUM
bracis-33548	1	61	pp	pp	CCONJ
bracis-33548	1	62	3–16	3–16	NOUN
bracis-33548	1	63	cite	cite	VERB
bracis-33548	1	64	this	this	DET
bracis-33548	1	65	conference	conference	NOUN
bracis-33548	1	66	paper	paper	NOUN
bracis-33548	1	67	access	access	NOUN
bracis-33548	1	68	provided	provide	VERB
bracis-33548	1	69	by	by	ADP
bracis-33548	1	70	university	university	PROPN
bracis-33548	1	71	of	of	ADP
bracis-33548	1	72	notre	notre	PROPN
bracis-33548	1	73	dame	dame	PROPN
bracis-33548	1	74	hesburgh	hesburgh	PROPN
bracis-33548	1	75	library	library	PROPN
bracis-33548	1	76	download	download	PROPN
bracis-33548	1	77	book	book	NOUN
bracis-33548	1	78	pdf	pdf	PROPN
bracis-33548	1	79	download	download	NOUN
bracis-33548	1	80	book	book	NOUN
bracis-33548	1	81	epub	epub	PROPN
bracis-33548	1	82	intelligent	intelligent	ADJ
bracis-33548	1	83	systems	system	NOUN
bracis-33548	1	84	(	(	PUNCT
bracis-33548	1	85	bracis	bracis	NOUN
bracis-33548	1	86	2024	2024	NUM
bracis-33548	1	87	)	)	PUNCT
bracis-33548	1	88	a	a	DET
bracis-33548	1	89	contrastive	contrastive	ADJ
bracis-33548	1	90	objective	objective	NOUN
bracis-33548	1	91	for	for	ADP
bracis-33548	1	92	 	 	SPACE
bracis-33548	1	93	training	train	VERB
bracis-33548	1	94	continuous	continuous	ADJ
bracis-33548	1	95	generative	generative	ADJ
bracis-33548	1	96	flow	flow	NOUN
bracis-33548	1	97	networks	network	NOUN
bracis-33548	1	98	download	download	NOUN
bracis-33548	1	99	book	book	NOUN
bracis-33548	1	100	pdf	pdf	PROPN
bracis-33548	1	101	download	download	NOUN
bracis-33548	1	102	book	book	PROPN
bracis-33548	1	103	epub	epub	PROPN
bracis-33548	1	104	tiago	tiago	PROPN
bracis-33548	1	105	da	da	PROPN
bracis-33548	1	106	silva9	silva9	PROPN
bracis-33548	1	107	&	&	CCONJ
bracis-33548	1	108	diego	diego	PROPN
bracis-33548	1	109	mesquita9	mesquita9	PROPN
bracis-33548	1	110	  	  	SPACE
bracis-33548	1	111	part	part	NOUN
bracis-33548	1	112	of	of	ADP
bracis-33548	1	113	the	the	DET
bracis-33548	1	114	book	book	NOUN
bracis-33548	1	115	series	series	NOUN
bracis-33548	1	116	:	:	PUNCT
bracis-33548	1	117	lecture	lecture	NOUN
bracis-33548	1	118	notes	note	NOUN
bracis-33548	1	119	in	in	ADP
bracis-33548	1	120	computer	computer	NOUN
bracis-33548	1	121	science	science	NOUN
bracis-33548	1	122	(	(	PUNCT
bracis-33548	1	123	(	(	PUNCT
bracis-33548	1	124	lnai	lnai	ADJ
bracis-33548	1	125	,	,	PUNCT
bracis-33548	1	126	volume	volume	NOUN
bracis-33548	1	127	15412	15412	NUM
bracis-33548	1	128	)	)	PUNCT
bracis-33548	1	129	)	)	PUNCT
bracis-33548	1	130	included	include	VERB
bracis-33548	1	131	in	in	ADP
bracis-33548	1	132	the	the	DET
bracis-33548	1	133	following	follow	VERB
bracis-33548	1	134	conference	conference	NOUN
bracis-33548	1	135	series	series	NOUN
bracis-33548	1	136	:	:	PUNCT
bracis-33548	1	137	brazilian	brazilian	ADJ
bracis-33548	1	138	conference	conference	NOUN
bracis-33548	1	139	on	on	ADP
bracis-33548	1	140	intelligent	intelligent	ADJ
bracis-33548	1	141	systems	system	NOUN
bracis-33548	1	142	510	510	NUM
bracis-33548	1	143	accesses	access	NOUN
bracis-33548	1	144	abstract	abstract	ADJ
bracis-33548	1	145	generative	generative	ADJ
bracis-33548	1	146	flow	flow	NOUN
bracis-33548	1	147	networks	network	NOUN
bracis-33548	1	148	(	(	PUNCT
bracis-33548	1	149	gflownets	gflownet	NOUN
bracis-33548	1	150	)	)	PUNCT
bracis-33548	1	151	are	be	AUX
bracis-33548	1	152	a	a	DET
bracis-33548	1	153	novel	novel	ADJ
bracis-33548	1	154	class	class	NOUN
bracis-33548	1	155	of	of	ADP
bracis-33548	1	156	flexible	flexible	ADJ
bracis-33548	1	157	amortized	amortize	VERB
bracis-33548	1	158	samplers	sampler	NOUN
bracis-33548	1	159	for	for	ADP
bracis-33548	1	160	distributions	distribution	NOUN
bracis-33548	1	161	supported	support	VERB
bracis-33548	1	162	on	on	ADP
bracis-33548	1	163	complex	complex	ADJ
bracis-33548	1	164	objects	object	NOUN
bracis-33548	1	165	(	(	PUNCT
bracis-33548	1	166	e.g.	e.g.	ADV
bracis-33548	1	167	,	,	PUNCT
bracis-33548	1	168	graphs	graph	NOUN
bracis-33548	1	169	and	and	CCONJ
bracis-33548	1	170	sequences	sequence	NOUN
bracis-33548	1	171	)	)	PUNCT
bracis-33548	1	172	,	,	PUNCT
bracis-33548	1	173	achieving	achieve	VERB
bracis-33548	1	174	significant	significant	ADJ
bracis-33548	1	175	success	success	NOUN
bracis-33548	1	176	in	in	ADP
bracis-33548	1	177	problems	problem	NOUN
bracis-33548	1	178	such	such	ADJ
bracis-33548	1	179	as	as	ADP
bracis-33548	1	180	combinatorial	combinatorial	ADJ
bracis-33548	1	181	optimization	optimization	NOUN
bracis-33548	1	182	,	,	PUNCT
bracis-33548	1	183	drug	drug	NOUN
bracis-33548	1	184	discovery	discovery	NOUN
bracis-33548	1	185	and	and	CCONJ
bracis-33548	1	186	natural	natural	ADJ
bracis-33548	1	187	language	language	NOUN
bracis-33548	1	188	processing	processing	NOUN
bracis-33548	1	189	.	.	PUNCT
bracis-33548	2	1	nonetheless	nonetheless	ADV
bracis-33548	2	2	,	,	PUNCT
bracis-33548	2	3	training	training	NOUN
bracis-33548	2	4	of	of	ADP
bracis-33548	2	5	gflownets	gflownet	NOUN
bracis-33548	2	6	is	be	AUX
bracis-33548	2	7	challenging	challenge	VERB
bracis-33548	2	8	—	—	PUNCT
bracis-33548	2	9	partly	partly	ADV
bracis-33548	2	10	because	because	SCONJ
bracis-33548	2	11	it	it	PRON
bracis-33548	2	12	relies	rely	VERB
bracis-33548	2	13	on	on	ADP
bracis-33548	2	14	estimating	estimate	VERB
bracis-33548	2	15	high	high	ADJ
bracis-33548	2	16	-	-	PUNCT
bracis-33548	2	17	dimensional	dimensional	ADJ
bracis-33548	2	18	integrals	integral	NOUN
bracis-33548	2	19	,	,	PUNCT
bracis-33548	2	20	including	include	VERB
bracis-33548	2	21	the	the	DET
bracis-33548	2	22	log	log	NOUN
bracis-33548	2	23	-	-	PUNCT
bracis-33548	2	24	partition	partition	NOUN
bracis-33548	2	25	function	function	NOUN
bracis-33548	2	26	,	,	PUNCT
bracis-33548	2	27	via	via	ADP
bracis-33548	2	28	stochastic	stochastic	ADJ
bracis-33548	2	29	gradient	gradient	ADJ
bracis-33548	2	30	descent	descent	NOUN
bracis-33548	2	31	(	(	PUNCT
bracis-33548	2	32	sgd	sgd	PROPN
bracis-33548	2	33	)	)	PUNCT
bracis-33548	2	34	.	.	PUNCT
bracis-33548	3	1	in	in	ADP
bracis-33548	3	2	particular	particular	ADJ
bracis-33548	3	3	,	,	PUNCT
bracis-33548	3	4	for	for	ADP
bracis-33548	3	5	distributions	distribution	NOUN
bracis-33548	3	6	supported	support	VERB
bracis-33548	3	7	on	on	ADP
bracis-33548	3	8	non	non	ADJ
bracis-33548	3	9	-	-	ADJ
bracis-33548	3	10	discrete	discrete	ADJ
bracis-33548	3	11	spaces	space	NOUN
bracis-33548	3	12	,	,	PUNCT
bracis-33548	3	13	which	which	PRON
bracis-33548	3	14	have	have	AUX
bracis-33548	3	15	received	receive	VERB
bracis-33548	3	16	far	far	ADV
bracis-33548	3	17	less	less	ADJ
bracis-33548	3	18	attention	attention	NOUN
bracis-33548	3	19	from	from	ADP
bracis-33548	3	20	the	the	DET
bracis-33548	3	21	recent	recent	ADJ
bracis-33548	3	22	literature	literature	NOUN
bracis-33548	3	23	,	,	PUNCT
bracis-33548	3	24	every	every	PRON
bracis-33548	3	25	previously	previously	ADV
bracis-33548	3	26	proposed	propose	VERB
bracis-33548	3	27	learning	learn	VERB
bracis-33548	3	28	objective	objective	NOUN
bracis-33548	3	29	either	either	CCONJ
bracis-33548	3	30	depends	depend	VERB
bracis-33548	3	31	on	on	ADP
bracis-33548	3	32	estimating	estimate	VERB
bracis-33548	3	33	a	a	DET
bracis-33548	3	34	log	log	NOUN
bracis-33548	3	35	-	-	PUNCT
bracis-33548	3	36	partition	partition	NOUN
bracis-33548	3	37	function	function	NOUN
bracis-33548	3	38	or	or	CCONJ
bracis-33548	3	39	is	be	AUX
bracis-33548	3	40	restricted	restrict	VERB
bracis-33548	3	41	to	to	ADP
bracis-33548	3	42	on	on	ADP
bracis-33548	3	43	-	-	PUNCT
bracis-33548	3	44	policy	policy	NOUN
bracis-33548	3	45	training	training	NOUN
bracis-33548	3	46	,	,	PUNCT
bracis-33548	3	47	which	which	PRON
bracis-33548	3	48	is	be	AUX
bracis-33548	3	49	susceptible	susceptible	ADJ
bracis-33548	3	50	to	to	ADP
bracis-33548	3	51	mode	mode	NOUN
bracis-33548	3	52	-	-	PUNCT
bracis-33548	3	53	collapse	collapse	NOUN
bracis-33548	3	54	.	.	PUNCT
bracis-33548	4	1	in	in	ADP
bracis-33548	4	2	this	this	DET
bracis-33548	4	3	context	context	NOUN
bracis-33548	4	4	,	,	PUNCT
bracis-33548	4	5	inspired	inspire	VERB
bracis-33548	4	6	by	by	ADP
bracis-33548	4	7	the	the	DET
bracis-33548	4	8	success	success	NOUN
bracis-33548	4	9	of	of	ADP
bracis-33548	4	10	contrastive	contrastive	ADJ
bracis-33548	4	11	learning	learning	NOUN
bracis-33548	4	12	for	for	ADP
bracis-33548	4	13	variational	variational	ADJ
bracis-33548	4	14	inference	inference	NOUN
bracis-33548	4	15	,	,	PUNCT
bracis-33548	4	16	we	we	PRON
bracis-33548	4	17	propose	propose	VERB
bracis-33548	4	18	the	the	DET
bracis-33548	4	19	continuous	continuous	ADJ
bracis-33548	4	20	contrastive	contrastive	ADJ
bracis-33548	4	21	loss	loss	NOUN
bracis-33548	4	22	(	(	PUNCT
bracis-33548	4	23	ccl	ccl	PROPN
bracis-33548	4	24	)	)	PUNCT
bracis-33548	4	25	as	as	ADP
bracis-33548	4	26	the	the	DET
bracis-33548	4	27	first	first	ADJ
bracis-33548	4	28	objective	objective	ADJ
bracis-33548	4	29	function	function	NOUN
bracis-33548	4	30	natively	natively	ADV
bracis-33548	4	31	enabling	enable	VERB
bracis-33548	4	32	off	off	ADP
bracis-33548	4	33	-	-	PUNCT
bracis-33548	4	34	policy	policy	NOUN
bracis-33548	4	35	training	training	NOUN
bracis-33548	4	36	of	of	ADP
bracis-33548	4	37	continuous	continuous	ADJ
bracis-33548	4	38	gflownets	gflownet	NOUN
bracis-33548	4	39	without	without	ADP
bracis-33548	4	40	reliance	reliance	NOUN
bracis-33548	4	41	on	on	ADP
bracis-33548	4	42	the	the	DET
bracis-33548	4	43	approximation	approximation	NOUN
bracis-33548	4	44	of	of	ADP
bracis-33548	4	45	high	high	ADJ
bracis-33548	4	46	-	-	PUNCT
bracis-33548	4	47	dimensional	dimensional	ADJ
bracis-33548	4	48	integrals	integral	NOUN
bracis-33548	4	49	via	via	ADP
bracis-33548	4	50	sgd	sgd	PROPN
bracis-33548	4	51	,	,	PUNCT
bracis-33548	4	52	extending	extend	VERB
bracis-33548	4	53	previous	previous	ADJ
bracis-33548	4	54	work	work	NOUN
bracis-33548	4	55	based	base	VERB
bracis-33548	4	56	on	on	ADP
bracis-33548	4	57	discrete	discrete	ADJ
bracis-33548	4	58	distributions	distribution	NOUN
bracis-33548	4	59	.	.	PUNCT
bracis-33548	5	1	additionally	additionally	ADV
bracis-33548	5	2	,	,	PUNCT
bracis-33548	5	3	we	we	PRON
bracis-33548	5	4	show	show	VERB
bracis-33548	5	5	that	that	SCONJ
bracis-33548	5	6	minimizing	minimize	VERB
bracis-33548	5	7	the	the	DET
bracis-33548	5	8	ccl	ccl	PROPN
bracis-33548	5	9	objective	objective	NOUN
bracis-33548	5	10	is	be	AUX
bracis-33548	5	11	empirically	empirically	ADV
bracis-33548	5	12	effective	effective	ADJ
bracis-33548	5	13	and	and	CCONJ
bracis-33548	5	14	often	often	ADV
bracis-33548	5	15	leads	lead	VERB
bracis-33548	5	16	to	to	ADP
bracis-33548	5	17	faster	fast	ADJ
bracis-33548	5	18	training	training	NOUN
bracis-33548	5	19	convergence	convergence	NOUN
bracis-33548	5	20	than	than	ADP
bracis-33548	5	21	alternatives	alternative	NOUN
bracis-33548	5	22	.	.	PUNCT
bracis-33548	6	1	access	access	NOUN
bracis-33548	6	2	provided	provide	VERB
bracis-33548	6	3	by	by	ADP
bracis-33548	6	4	university	university	PROPN
bracis-33548	6	5	of	of	ADP
bracis-33548	6	6	notre	notre	PROPN
bracis-33548	6	7	dame	dame	PROPN
bracis-33548	6	8	hesburgh	hesburgh	PROPN
bracis-33548	6	9	library	library	PROPN
bracis-33548	6	10	.	.	PUNCT
bracis-33548	7	1	download	download	PROPN
bracis-33548	7	2	conference	conference	NOUN
bracis-33548	7	3	paper	paper	NOUN
bracis-33548	7	4	pdf	pdf	NOUN
bracis-33548	7	5	similar	similar	ADJ
bracis-33548	7	6	content	content	NOUN
bracis-33548	7	7	being	be	AUX
bracis-33548	7	8	viewed	view	VERB
bracis-33548	7	9	by	by	ADP
bracis-33548	7	10	others	other	NOUN
bracis-33548	7	11	a	a	DET
bracis-33548	7	12	nonmonotone	nonmonotone	NOUN
bracis-33548	7	13	conditional	conditional	ADJ
bracis-33548	7	14	gradient	gradient	NOUN
bracis-33548	7	15	method	method	NOUN
bracis-33548	7	16	for	for	ADP
bracis-33548	7	17	multiobjective	multiobjective	ADJ
bracis-33548	7	18	optimization	optimization	NOUN
bracis-33548	7	19	problems	problem	NOUN
bracis-33548	7	20	article	article	NOUN
bracis-33548	7	21	26	26	NUM
bracis-33548	7	22	july	july	PROPN
bracis-33548	7	23	2024	2024	NUM
bracis-33548	7	24	simdcl	simdcl	NOUN
bracis-33548	7	25	:	:	PUNCT
bracis-33548	7	26	dropout	dropout	NOUN
bracis-33548	7	27	-	-	PUNCT
bracis-33548	7	28	based	base	VERB
bracis-33548	7	29	simple	simple	ADJ
bracis-33548	7	30	graph	graph	NOUN
bracis-33548	7	31	contrastive	contrastive	ADJ
bracis-33548	7	32	learning	learning	NOUN
bracis-33548	7	33	for	for	ADP
bracis-33548	7	34	recommendation	recommendation	NOUN
bracis-33548	7	35	article	article	NOUN
bracis-33548	7	36	open	open	ADJ
bracis-33548	7	37	access	access	NOUN
bracis-33548	7	38	10	10	NUM
bracis-33548	7	39	february	february	PROPN
bracis-33548	7	40	2023	2023	NUM
bracis-33548	7	41	hypernetwork	hypernetwork	NOUN
bracis-33548	7	42	-	-	PUNCT
bracis-33548	7	43	driven	drive	VERB
bracis-33548	7	44	centralized	centralized	ADJ
bracis-33548	7	45	contrastive	contrastive	ADJ
bracis-33548	7	46	learning	learning	NOUN
bracis-33548	7	47	for	for	ADP
bracis-33548	7	48	federated	federated	ADJ
bracis-33548	7	49	graph	graph	NOUN
bracis-33548	7	50	classification	classification	NOUN
bracis-33548	7	51	article	article	NOUN
bracis-33548	7	52	16	16	NUM
bracis-33548	7	53	august	august	PROPN
bracis-33548	7	54	2024	2024	NUM
bracis-33548	7	55	1	1	NUM
bracis-33548	7	56	introduction	introduction	NOUN
bracis-33548	7	57	the	the	DET
bracis-33548	7	58	evaluation	evaluation	NOUN
bracis-33548	7	59	of	of	ADP
bracis-33548	7	60	high	high	ADJ
bracis-33548	7	61	-	-	PUNCT
bracis-33548	7	62	dimensional	dimensional	ADJ
bracis-33548	7	63	expectations	expectation	NOUN
bracis-33548	7	64	under	under	ADP
bracis-33548	7	65	unnormalized	unnormalized	ADJ
bracis-33548	7	66	distributions	distribution	NOUN
bracis-33548	7	67	is	be	AUX
bracis-33548	7	68	one	one	NUM
bracis-33548	7	69	of	of	ADP
bracis-33548	7	70	the	the	DET
bracis-33548	7	71	main	main	ADJ
bracis-33548	7	72	challenges	challenge	NOUN
bracis-33548	7	73	of	of	ADP
bracis-33548	7	74	statistics	statistic	NOUN
bracis-33548	7	75	and	and	CCONJ
bracis-33548	7	76	machine	machine	NOUN
bracis-33548	7	77	learning	learn	VERB
bracis-33548	8	1	[	[	X
bracis-33548	8	2	4	4	NUM
bracis-33548	8	3	]	]	PUNCT
bracis-33548	8	4	.	.	PUNCT
bracis-33548	9	1	in	in	ADP
bracis-33548	9	2	bayesian	bayesian	NOUN
bracis-33548	9	3	decision	decision	NOUN
bracis-33548	9	4	theory	theory	NOUN
bracis-33548	9	5	,	,	PUNCT
bracis-33548	9	6	for	for	ADP
bracis-33548	9	7	instance	instance	NOUN
bracis-33548	9	8	,	,	PUNCT
bracis-33548	9	9	one	one	PRON
bracis-33548	9	10	seeks	seek	VERB
bracis-33548	9	11	to	to	PART
bracis-33548	9	12	minimize	minimize	VERB
bracis-33548	9	13	a	a	DET
bracis-33548	9	14	risk	risk	NOUN
bracis-33548	9	15	function	function	NOUN
bracis-33548	9	16	that	that	PRON
bracis-33548	9	17	is	be	AUX
bracis-33548	9	18	defined	define	VERB
bracis-33548	9	19	as	as	ADP
bracis-33548	9	20	an	an	DET
bracis-33548	9	21	expectation	expectation	NOUN
bracis-33548	9	22	of	of	ADP
bracis-33548	9	23	a	a	DET
bracis-33548	9	24	functional	functional	ADJ
bracis-33548	9	25	under	under	ADP
bracis-33548	9	26	a	a	DET
bracis-33548	9	27	often	often	ADV
bracis-33548	9	28	intractable	intractable	ADJ
bracis-33548	9	29	and	and	CCONJ
bracis-33548	9	30	unnormalized	unnormalized	ADJ
bracis-33548	9	31	posterior	posterior	ADJ
bracis-33548	9	32	distribution	distribution	NOUN
bracis-33548	9	33	provisioned	provision	VERB
bracis-33548	9	34	by	by	ADP
bracis-33548	9	35	bayes	baye	NOUN
bracis-33548	9	36	’	'	PUNCT
bracis-33548	9	37	rule	rule	NOUN
bracis-33548	9	38	[	[	X
bracis-33548	9	39	21	21	NUM
bracis-33548	9	40	]	]	PUNCT
bracis-33548	9	41	.	.	PUNCT
bracis-33548	10	1	similarly	similarly	ADV
bracis-33548	10	2	,	,	PUNCT
bracis-33548	10	3	many	many	ADJ
bracis-33548	10	4	model	model	ADJ
bracis-33548	10	5	-	-	PUNCT
bracis-33548	10	6	free	free	ADJ
bracis-33548	10	7	reinforcement	reinforcement	NOUN
bracis-33548	10	8	learning	learning	NOUN
bracis-33548	10	9	algorithms	algorithm	NOUN
bracis-33548	10	10	for	for	ADP
bracis-33548	10	11	searching	search	VERB
bracis-33548	10	12	an	an	DET
bracis-33548	10	13	optimal	optimal	ADJ
bracis-33548	10	14	policy	policy	NOUN
bracis-33548	10	15	in	in	ADP
bracis-33548	10	16	a	a	DET
bracis-33548	10	17	contextual	contextual	ADJ
bracis-33548	10	18	markov	markov	NOUN
bracis-33548	10	19	decision	decision	NOUN
bracis-33548	10	20	process	process	NOUN
bracis-33548	10	21	rely	rely	VERB
bracis-33548	10	22	on	on	ADP
bracis-33548	10	23	integrating	integrate	VERB
bracis-33548	10	24	out	out	ADP
bracis-33548	10	25	a	a	DET
bracis-33548	10	26	high	high	ADV
bracis-33548	10	27	-	-	PUNCT
bracis-33548	10	28	dimensional	dimensional	ADJ
bracis-33548	10	29	context	context	NOUN
bracis-33548	10	30	variable	variable	NOUN
bracis-33548	10	31	of	of	ADP
bracis-33548	10	32	the	the	DET
bracis-33548	10	33	quality	quality	NOUN
bracis-33548	10	34	function	function	NOUN
bracis-33548	10	35	.	.	PUNCT
bracis-33548	11	1	under	under	ADP
bracis-33548	11	2	these	these	DET
bracis-33548	11	3	circumstances	circumstance	NOUN
bracis-33548	11	4	,	,	PUNCT
bracis-33548	11	5	a	a	DET
bracis-33548	11	6	common	common	ADJ
bracis-33548	11	7	approach	approach	NOUN
bracis-33548	11	8	consists	consist	VERB
bracis-33548	11	9	of	of	ADP
bracis-33548	11	10	substituting	substitute	VERB
bracis-33548	11	11	the	the	DET
bracis-33548	11	12	unmanageable	unmanageable	ADJ
bracis-33548	11	13	integration	integration	NOUN
bracis-33548	11	14	problem	problem	NOUN
bracis-33548	11	15	by	by	ADP
bracis-33548	11	16	a	a	DET
bracis-33548	11	17	manageable	manageable	ADJ
bracis-33548	11	18	optimization	optimization	NOUN
bracis-33548	11	19	problem	problem	NOUN
bracis-33548	11	20	,	,	PUNCT
bracis-33548	11	21	which	which	PRON
bracis-33548	11	22	is	be	AUX
bracis-33548	11	23	known	know	VERB
bracis-33548	11	24	as	as	ADP
bracis-33548	11	25	variational	variational	ADJ
bracis-33548	11	26	inference	inference	NOUN
bracis-33548	11	27	.	.	PUNCT
bracis-33548	12	1	for	for	ADP
bracis-33548	12	2	this	this	PRON
bracis-33548	12	3	,	,	PUNCT
bracis-33548	12	4	one	one	NUM
bracis-33548	12	5	introduces	introduce	VERB
bracis-33548	12	6	a	a	DET
bracis-33548	12	7	tractable	tractable	ADJ
bracis-33548	12	8	and	and	CCONJ
bracis-33548	12	9	large	large	ADJ
bracis-33548	12	10	set	set	NOUN
bracis-33548	12	11	of	of	ADP
bracis-33548	12	12	parameteric	parameteric	ADJ
bracis-33548	12	13	distributions	distribution	NOUN
bracis-33548	12	14	,	,	PUNCT
bracis-33548	12	15	known	know	VERB
bracis-33548	12	16	as	as	ADP
bracis-33548	12	17	the	the	DET
bracis-33548	12	18	variational	variational	ADJ
bracis-33548	12	19	family	family	NOUN
bracis-33548	12	20	,	,	PUNCT
bracis-33548	12	21	and	and	CCONJ
bracis-33548	12	22	finds	find	VERB
bracis-33548	12	23	the	the	DET
bracis-33548	12	24	family	family	NOUN
bracis-33548	12	25	’s	’s	PART
bracis-33548	12	26	member	member	NOUN
bracis-33548	12	27	that	that	SCONJ
bracis-33548	12	28	most	most	ADV
bracis-33548	12	29	closely	closely	ADV
bracis-33548	12	30	matches	match	VERB
bracis-33548	12	31	the	the	DET
bracis-33548	12	32	unnormalized	unnormalized	ADJ
bracis-33548	12	33	target	target	NOUN
bracis-33548	12	34	by	by	ADP
bracis-33548	12	35	solving	solve	VERB
bracis-33548	12	36	a	a	DET
bracis-33548	12	37	stochastic	stochastic	ADJ
bracis-33548	12	38	optimization	optimization	NOUN
bracis-33548	12	39	problem	problem	NOUN
bracis-33548	12	40	.	.	PUNCT
bracis-33548	13	1	then	then	ADV
bracis-33548	13	2	,	,	PUNCT
bracis-33548	13	3	one	one	PRON
bracis-33548	13	4	uses	use	VERB
bracis-33548	13	5	the	the	DET
bracis-33548	13	6	solution	solution	NOUN
bracis-33548	13	7	to	to	ADP
bracis-33548	13	8	this	this	DET
bracis-33548	13	9	problem	problem	NOUN
bracis-33548	13	10	as	as	ADP
bracis-33548	13	11	a	a	DET
bracis-33548	13	12	surrogate	surrogate	NOUN
bracis-33548	13	13	to	to	ADP
bracis-33548	13	14	the	the	DET
bracis-33548	13	15	intractable	intractable	ADJ
bracis-33548	13	16	target	target	NOUN
bracis-33548	13	17	and	and	CCONJ
bracis-33548	13	18	evaluate	evaluate	VERB
bracis-33548	13	19	the	the	DET
bracis-33548	13	20	desired	desire	VERB
bracis-33548	13	21	expectations	expectation	NOUN
bracis-33548	13	22	using	use	VERB
bracis-33548	13	23	monte	monte	PROPN
bracis-33548	13	24	carlo	carlo	NOUN
bracis-33548	13	25	estimators	estimator	NOUN
bracis-33548	13	26	.	.	PUNCT
bracis-33548	14	1	recently	recently	ADV
bracis-33548	14	2	,	,	PUNCT
bracis-33548	14	3	generative	generative	ADJ
bracis-33548	14	4	flow	flow	NOUN
bracis-33548	14	5	networks	network	NOUN
bracis-33548	14	6	(	(	PUNCT
bracis-33548	14	7	gflownets	gflownet	NOUN
bracis-33548	14	8	)	)	PUNCT
bracis-33548	15	1	[	[	X
bracis-33548	15	2	2	2	NUM
bracis-33548	15	3	,	,	PUNCT
bracis-33548	15	4	3	3	NUM
bracis-33548	15	5	,	,	PUNCT
bracis-33548	15	6	13	13	NUM
bracis-33548	15	7	]	]	PUNCT
bracis-33548	15	8	were	be	AUX
bracis-33548	15	9	proposed	propose	VERB
bracis-33548	15	10	as	as	ADP
bracis-33548	15	11	a	a	DET
bracis-33548	15	12	flexible	flexible	ADJ
bracis-33548	15	13	variational	variational	ADJ
bracis-33548	15	14	family	family	NOUN
bracis-33548	15	15	parameterized	parameterize	VERB
bracis-33548	15	16	by	by	ADP
bracis-33548	15	17	neural	neural	ADJ
bracis-33548	15	18	networks	network	NOUN
bracis-33548	15	19	to	to	PART
bracis-33548	15	20	approximate	approximate	VERB
bracis-33548	15	21	unnormalized	unnormalized	ADJ
bracis-33548	15	22	distributions	distribution	NOUN
bracis-33548	15	23	with	with	ADP
bracis-33548	15	24	compositional	compositional	ADJ
bracis-33548	15	25	supports	support	NOUN
bracis-33548	15	26	[	[	X
bracis-33548	15	27	15	15	NUM
bracis-33548	15	28	]	]	PUNCT
bracis-33548	15	29	,	,	PUNCT
bracis-33548	15	30	with	with	ADP
bracis-33548	15	31	remarkable	remarkable	ADJ
bracis-33548	15	32	success	success	NOUN
bracis-33548	15	33	in	in	ADP
bracis-33548	15	34	relevant	relevant	ADJ
bracis-33548	15	35	applications	application	NOUN
bracis-33548	15	36	including	include	VERB
bracis-33548	15	37	causal	causal	ADJ
bracis-33548	15	38	inference	inference	NOUN
bracis-33548	15	39	[	[	X
bracis-33548	15	40	5	5	NUM
bracis-33548	15	41	,	,	PUNCT
bracis-33548	15	42	24	24	NUM
bracis-33548	15	43	]	]	PUNCT
bracis-33548	15	44	,	,	PUNCT
bracis-33548	15	45	drug	drug	NOUN
bracis-33548	15	46	discovery	discovery	NOUN
bracis-33548	16	1	[	[	X
bracis-33548	16	2	2	2	NUM
bracis-33548	16	3	]	]	PUNCT
bracis-33548	16	4	,	,	PUNCT
bracis-33548	16	5	refinement	refinement	NOUN
bracis-33548	16	6	of	of	ADP
bracis-33548	16	7	large	large	ADJ
bracis-33548	16	8	language	language	NOUN
bracis-33548	16	9	models	model	NOUN
bracis-33548	16	10	[	[	X
bracis-33548	16	11	9	9	NUM
bracis-33548	16	12	]	]	PUNCT
bracis-33548	16	13	,	,	PUNCT
bracis-33548	16	14	and	and	CCONJ
bracis-33548	16	15	combinatorial	combinatorial	ADJ
bracis-33548	16	16	optimization	optimization	NOUN
bracis-33548	16	17	[	[	X
bracis-33548	16	18	28	28	NUM
bracis-33548	16	19	]	]	PUNCT
bracis-33548	16	20	.	.	PUNCT
bracis-33548	17	1	to	to	PART
bracis-33548	17	2	implement	implement	VERB
bracis-33548	17	3	a	a	DET
bracis-33548	17	4	gflownet	gflownet	NOUN
bracis-33548	17	5	,	,	PUNCT
bracis-33548	17	6	we	we	PRON
bracis-33548	17	7	first	first	ADV
bracis-33548	17	8	define	define	VERB
bracis-33548	17	9	a	a	DET
bracis-33548	17	10	flow	flow	NOUN
bracis-33548	17	11	network	network	NOUN
bracis-33548	17	12	over	over	ADP
bracis-33548	17	13	an	an	DET
bracis-33548	17	14	extension	extension	NOUN
bracis-33548	17	15	of	of	ADP
bracis-33548	17	16	the	the	DET
bracis-33548	17	17	target	target	NOUN
bracis-33548	17	18	distribution	distribution	NOUN
bracis-33548	17	19	’s	’s	PART
bracis-33548	17	20	support	support	NOUN
bracis-33548	17	21	,	,	PUNCT
bracis-33548	17	22	which	which	PRON
bracis-33548	17	23	thereafter	thereafter	ADV
bracis-33548	17	24	corresponds	correspond	VERB
bracis-33548	17	25	to	to	ADP
bracis-33548	17	26	the	the	DET
bracis-33548	17	27	sink	sink	NOUN
bracis-33548	17	28	nodes	node	NOUN
bracis-33548	17	29	,	,	PUNCT
bracis-33548	17	30	and	and	CCONJ
bracis-33548	17	31	then	then	ADV
bracis-33548	17	32	search	search	VERB
bracis-33548	17	33	for	for	ADP
bracis-33548	17	34	a	a	DET
bracis-33548	17	35	consistent	consistent	ADJ
bracis-33548	17	36	flow	flow	NOUN
bracis-33548	17	37	assignment	assignment	NOUN
bracis-33548	17	38	for	for	ADP
bracis-33548	17	39	which	which	PRON
bracis-33548	17	40	the	the	DET
bracis-33548	17	41	flow	flow	NOUN
bracis-33548	17	42	going	go	VERB
bracis-33548	17	43	through	through	ADP
bracis-33548	17	44	each	each	DET
bracis-33548	17	45	sink	sink	NOUN
bracis-33548	17	46	node	node	NOUN
bracis-33548	17	47	matches	match	VERB
bracis-33548	17	48	its	its	PRON
bracis-33548	17	49	unnormalized	unnormalized	ADJ
bracis-33548	17	50	probability	probability	NOUN
bracis-33548	17	51	.	.	PUNCT
bracis-33548	18	1	during	during	ADP
bracis-33548	18	2	inference	inference	NOUN
bracis-33548	18	3	,	,	PUNCT
bracis-33548	18	4	we	we	PRON
bracis-33548	18	5	travel	travel	VERB
bracis-33548	18	6	across	across	ADP
bracis-33548	18	7	the	the	DET
bracis-33548	18	8	defined	define	VERB
bracis-33548	18	9	network	network	NOUN
bracis-33548	18	10	by	by	ADP
bracis-33548	18	11	starting	start	VERB
bracis-33548	18	12	at	at	ADP
bracis-33548	18	13	the	the	DET
bracis-33548	18	14	origin	origin	NOUN
bracis-33548	18	15	and	and	CCONJ
bracis-33548	18	16	choosing	choose	VERB
bracis-33548	18	17	each	each	DET
bracis-33548	18	18	transition	transition	NOUN
bracis-33548	18	19	according	accord	VERB
bracis-33548	18	20	to	to	ADP
bracis-33548	18	21	the	the	DET
bracis-33548	18	22	estimated	estimate	VERB
bracis-33548	18	23	flow	flow	NOUN
bracis-33548	18	24	therein	therein	ADV
bracis-33548	18	25	.	.	PUNCT
bracis-33548	19	1	if	if	SCONJ
bracis-33548	19	2	the	the	DET
bracis-33548	19	3	flow	flow	NOUN
bracis-33548	19	4	is	be	AUX
bracis-33548	19	5	correctly	correctly	ADV
bracis-33548	19	6	estimated	estimate	VERB
bracis-33548	19	7	,	,	PUNCT
bracis-33548	19	8	this	this	DET
bracis-33548	19	9	procedure	procedure	NOUN
bracis-33548	19	10	is	be	AUX
bracis-33548	19	11	guaranteed	guarantee	VERB
bracis-33548	19	12	to	to	PART
bracis-33548	19	13	yield	yield	VERB
bracis-33548	19	14	independent	independent	ADJ
bracis-33548	19	15	and	and	CCONJ
bracis-33548	19	16	identically	identically	ADV
bracis-33548	19	17	distributed	distribute	VERB
bracis-33548	19	18	(	(	PUNCT
bracis-33548	19	19	i.i.d	i.i.d	ADJ
bracis-33548	19	20	.	.	PUNCT
bracis-33548	19	21	)	)	PUNCT
bracis-33548	20	1	samples	sample	NOUN
bracis-33548	20	2	from	from	ADP
bracis-33548	20	3	the	the	DET
bracis-33548	20	4	intractable	intractable	ADJ
bracis-33548	20	5	target	target	NOUN
bracis-33548	20	6	distribution	distribution	NOUN
bracis-33548	20	7	[	[	X
bracis-33548	20	8	2	2	NUM
bracis-33548	20	9	,	,	PUNCT
bracis-33548	20	10	13	13	NUM
bracis-33548	20	11	]	]	PUNCT
bracis-33548	20	12	.	.	PUNCT
bracis-33548	21	1	to	to	PART
bracis-33548	21	2	successfully	successfully	ADV
bracis-33548	21	3	find	find	VERB
bracis-33548	21	4	a	a	DET
bracis-33548	21	5	consistent	consistent	ADJ
bracis-33548	21	6	and	and	CCONJ
bracis-33548	21	7	balanced	balanced	ADJ
bracis-33548	21	8	flow	flow	NOUN
bracis-33548	21	9	assignment	assignment	NOUN
bracis-33548	21	10	,	,	PUNCT
bracis-33548	21	11	we	we	PRON
bracis-33548	21	12	conventionally	conventionally	ADV
bracis-33548	21	13	parameterize	parameterize	VERB
bracis-33548	21	14	the	the	DET
bracis-33548	21	15	network	network	NOUN
bracis-33548	21	16	’s	’s	PART
bracis-33548	21	17	transition	transition	NOUN
bracis-33548	21	18	policies	policy	NOUN
bracis-33548	21	19	with	with	ADP
bracis-33548	21	20	versatile	versatile	ADJ
bracis-33548	21	21	models	model	NOUN
bracis-33548	21	22	as	as	ADP
bracis-33548	21	23	,	,	PUNCT
bracis-33548	21	24	e.g.	e.g.	ADV
bracis-33548	21	25	,	,	PUNCT
bracis-33548	21	26	multilayer	multilayer	ADJ
bracis-33548	21	27	perceptrons	perceptron	NOUN
bracis-33548	21	28	or	or	CCONJ
bracis-33548	21	29	graph	graph	VERB
bracis-33548	21	30	neural	neural	ADJ
bracis-33548	21	31	networks	network	NOUN
bracis-33548	21	32	.	.	PUNCT
bracis-33548	22	1	then	then	ADV
bracis-33548	22	2	,	,	PUNCT
bracis-33548	22	3	to	to	PART
bracis-33548	22	4	estimate	estimate	VERB
bracis-33548	22	5	the	the	DET
bracis-33548	22	6	model	model	NOUN
bracis-33548	22	7	’s	’s	PART
bracis-33548	22	8	parameters	parameter	NOUN
bracis-33548	22	9	,	,	PUNCT
bracis-33548	22	10	we	we	PRON
bracis-33548	22	11	minimize	minimize	VERB
bracis-33548	22	12	a	a	DET
bracis-33548	22	13	loss	loss	NOUN
bracis-33548	22	14	function	function	NOUN
bracis-33548	22	15	consisting	consist	VERB
bracis-33548	22	16	of	of	ADP
bracis-33548	22	17	the	the	DET
bracis-33548	22	18	expectation	expectation	NOUN
bracis-33548	22	19	of	of	ADP
bracis-33548	22	20	log	log	NOUN
bracis-33548	22	21	-	-	PUNCT
bracis-33548	22	22	squared	square	VERB
bracis-33548	22	23	local	local	ADJ
bracis-33548	22	24	balance	balance	NOUN
bracis-33548	22	25	violations	violation	NOUN
bracis-33548	22	26	according	accord	VERB
bracis-33548	22	27	to	to	ADP
bracis-33548	22	28	a	a	DET
bracis-33548	22	29	prescribed	prescribed	ADJ
bracis-33548	22	30	exploratory	exploratory	ADJ
bracis-33548	22	31	policy	policy	NOUN
bracis-33548	22	32	via	via	ADP
bracis-33548	22	33	a	a	DET
bracis-33548	22	34	variant	variant	NOUN
bracis-33548	22	35	of	of	ADP
bracis-33548	22	36	sgd	sgd	PROPN
bracis-33548	22	37	.	.	PUNCT
bracis-33548	23	1	importantly	importantly	ADV
bracis-33548	23	2	,	,	PUNCT
bracis-33548	23	3	this	this	DET
bracis-33548	23	4	exploratory	exploratory	ADJ
bracis-33548	23	5	policy	policy	NOUN
bracis-33548	23	6	may	may	AUX
bracis-33548	23	7	be	be	AUX
bracis-33548	23	8	different	different	ADJ
bracis-33548	23	9	of	of	ADP
bracis-33548	23	10	the	the	DET
bracis-33548	23	11	learned	learn	VERB
bracis-33548	23	12	policy	policy	NOUN
bracis-33548	23	13	,	,	PUNCT
bracis-33548	23	14	in	in	ADP
bracis-33548	23	15	which	which	DET
bracis-33548	23	16	case	case	NOUN
bracis-33548	23	17	the	the	DET
bracis-33548	23	18	training	training	NOUN
bracis-33548	23	19	is	be	AUX
bracis-33548	23	20	said	say	VERB
bracis-33548	23	21	to	to	PART
bracis-33548	23	22	be	be	AUX
bracis-33548	23	23	carried	carry	VERB
bracis-33548	23	24	in	in	ADP
bracis-33548	23	25	an	an	DET
bracis-33548	23	26	off	off	ADJ
bracis-33548	23	27	-	-	PUNCT
bracis-33548	23	28	policy	policy	NOUN
bracis-33548	23	29	fashion	fashion	NOUN
bracis-33548	23	30	.	.	PUNCT
bracis-33548	24	1	we	we	PRON
bracis-33548	24	2	remark	remark	VERB
bracis-33548	24	3	that	that	SCONJ
bracis-33548	24	4	,	,	PUNCT
bracis-33548	24	5	when	when	SCONJ
bracis-33548	24	6	dealing	deal	VERB
bracis-33548	24	7	with	with	ADP
bracis-33548	24	8	high	high	ADV
bracis-33548	24	9	-	-	PUNCT
bracis-33548	24	10	dimensional	dimensional	ADJ
bracis-33548	24	11	and	and	CCONJ
bracis-33548	24	12	highly	highly	ADV
bracis-33548	24	13	sparse	sparse	ADJ
bracis-33548	24	14	target	target	NOUN
bracis-33548	24	15	distributions	distribution	NOUN
bracis-33548	24	16	,	,	PUNCT
bracis-33548	24	17	an	an	DET
bracis-33548	24	18	off	off	ADP
bracis-33548	24	19	-	-	PUNCT
bracis-33548	24	20	policy	policy	NOUN
bracis-33548	24	21	sampling	sampling	NOUN
bracis-33548	24	22	scheme	scheme	NOUN
bracis-33548	24	23	is	be	AUX
bracis-33548	24	24	paramount	paramount	ADJ
bracis-33548	24	25	for	for	ADP
bracis-33548	24	26	avoiding	avoid	VERB
bracis-33548	24	27	the	the	DET
bracis-33548	24	28	collapse	collapse	NOUN
bracis-33548	24	29	of	of	ADP
bracis-33548	24	30	the	the	DET
bracis-33548	24	31	variational	variational	ADJ
bracis-33548	24	32	distribution	distribution	NOUN
bracis-33548	24	33	[	[	X
bracis-33548	24	34	14	14	NUM
bracis-33548	24	35	,	,	PUNCT
bracis-33548	24	36	15	15	NUM
bracis-33548	24	37	]	]	PUNCT
bracis-33548	24	38	.	.	PUNCT
bracis-33548	25	1	nonetheless	nonetheless	ADV
bracis-33548	25	2	,	,	PUNCT
bracis-33548	25	3	as	as	SCONJ
bracis-33548	25	4	we	we	PRON
bracis-33548	25	5	note	note	VERB
bracis-33548	25	6	in	in	ADP
bracis-33548	25	7	sect	sect	NOUN
bracis-33548	25	8	.	.	PUNCT
bracis-33548	25	9	 	 	SPACE
bracis-33548	26	1	2	2	NUM
bracis-33548	26	2	,	,	PUNCT
bracis-33548	26	3	such	such	DET
bracis-33548	26	4	a	a	DET
bracis-33548	26	5	possibility	possibility	NOUN
bracis-33548	26	6	of	of	ADP
bracis-33548	26	7	off	off	ADP
bracis-33548	26	8	-	-	PUNCT
bracis-33548	26	9	policy	policy	NOUN
bracis-33548	26	10	learning	learning	NOUN
bracis-33548	26	11	comes	come	VERB
bracis-33548	26	12	at	at	ADP
bracis-33548	26	13	the	the	DET
bracis-33548	26	14	cost	cost	NOUN
bracis-33548	26	15	of	of	ADP
bracis-33548	26	16	introducing	introduce	VERB
bracis-33548	26	17	additional	additional	ADJ
bracis-33548	26	18	parameters	parameter	NOUN
bracis-33548	26	19	that	that	PRON
bracis-33548	26	20	often	often	ADV
bracis-33548	26	21	entail	entail	VERB
bracis-33548	26	22	the	the	DET
bracis-33548	26	23	estimation	estimation	NOUN
bracis-33548	26	24	of	of	ADP
bracis-33548	26	25	high	high	ADJ
bracis-33548	26	26	-	-	PUNCT
bracis-33548	26	27	dimensional	dimensional	ADJ
bracis-33548	26	28	integrals	integral	NOUN
bracis-33548	26	29	as	as	ADP
bracis-33548	26	30	a	a	DET
bracis-33548	26	31	subproblem	subproblem	NOUN
bracis-33548	26	32	to	to	ADP
bracis-33548	26	33	the	the	DET
bracis-33548	26	34	successful	successful	ADJ
bracis-33548	26	35	training	training	NOUN
bracis-33548	26	36	of	of	ADP
bracis-33548	26	37	gflownets	gflownet	NOUN
bracis-33548	26	38	,	,	PUNCT
bracis-33548	26	39	potentially	potentially	ADV
bracis-33548	26	40	hindering	hinder	VERB
bracis-33548	26	41	the	the	DET
bracis-33548	26	42	sample	sample	NOUN
bracis-33548	26	43	-	-	PUNCT
bracis-33548	26	44	efficiency	efficiency	NOUN
bracis-33548	26	45	of	of	ADP
bracis-33548	26	46	these	these	DET
bracis-33548	26	47	models	model	NOUN
bracis-33548	26	48	.	.	PUNCT
bracis-33548	27	1	seeking	seek	VERB
bracis-33548	27	2	to	to	PART
bracis-33548	27	3	bypass	bypass	VERB
bracis-33548	27	4	this	this	DET
bracis-33548	27	5	problem	problem	NOUN
bracis-33548	27	6	,	,	PUNCT
bracis-33548	27	7	recent	recent	ADJ
bracis-33548	27	8	work	work	NOUN
bracis-33548	27	9	[	[	X
bracis-33548	27	10	23	23	NUM
bracis-33548	27	11	,	,	PUNCT
bracis-33548	27	12	26	26	NUM
bracis-33548	27	13	]	]	PUNCT
bracis-33548	27	14	developed	develop	VERB
bracis-33548	27	15	a	a	DET
bracis-33548	27	16	contrastive	contrastive	ADJ
bracis-33548	27	17	learning	learning	NOUN
bracis-33548	27	18	objective	objective	NOUN
bracis-33548	27	19	for	for	ADP
bracis-33548	27	20	gflownets	gflownet	NOUN
bracis-33548	27	21	.	.	PUNCT
bracis-33548	28	1	in	in	ADP
bracis-33548	28	2	the	the	DET
bracis-33548	28	3	spirit	spirit	PROPN
bracis-33548	28	4	of	of	ADP
bracis-33548	28	5	hinton	hinton	PROPN
bracis-33548	28	6	’s	’s	PART
bracis-33548	28	7	contrastive	contrastive	ADJ
bracis-33548	28	8	divergence	divergence	NOUN
bracis-33548	28	9	learning	learning	NOUN
bracis-33548	28	10	[	[	X
bracis-33548	28	11	8	8	NUM
bracis-33548	28	12	]	]	PUNCT
bracis-33548	28	13	,	,	PUNCT
bracis-33548	28	14	these	these	DET
bracis-33548	28	15	approaches	approach	NOUN
bracis-33548	28	16	sidestep	sidestep	VERB
bracis-33548	28	17	the	the	DET
bracis-33548	28	18	estimation	estimation	NOUN
bracis-33548	28	19	of	of	ADP
bracis-33548	28	20	difficult	difficult	ADJ
bracis-33548	28	21	-	-	PUNCT
bracis-33548	28	22	to	to	ADP
bracis-33548	28	23	-	-	PUNCT
bracis-33548	28	24	approximate	approximate	ADJ
bracis-33548	28	25	quantities	quantity	NOUN
bracis-33548	28	26	by	by	ADP
bracis-33548	28	27	,	,	PUNCT
bracis-33548	28	28	instead	instead	ADV
bracis-33548	28	29	of	of	ADP
bracis-33548	28	30	directly	directly	ADV
bracis-33548	28	31	optimizing	optimize	VERB
bracis-33548	28	32	an	an	DET
bracis-33548	28	33	optimality	optimality	NOUN
bracis-33548	28	34	criteria	criterion	NOUN
bracis-33548	28	35	,	,	PUNCT
bracis-33548	28	36	minimizing	minimize	VERB
bracis-33548	28	37	the	the	DET
bracis-33548	28	38	difference	difference	NOUN
bracis-33548	28	39	between	between	ADP
bracis-33548	28	40	them	they	PRON
bracis-33548	28	41	.	.	PUNCT
bracis-33548	29	1	this	this	PRON
bracis-33548	29	2	ensures	ensure	VERB
bracis-33548	29	3	that	that	SCONJ
bracis-33548	29	4	the	the	DET
bracis-33548	29	5	intractable	intractable	ADJ
bracis-33548	29	6	terms	term	NOUN
bracis-33548	29	7	cancel	cancel	VERB
bracis-33548	29	8	out	out	ADP
bracis-33548	29	9	and	and	CCONJ
bracis-33548	29	10	that	that	SCONJ
bracis-33548	29	11	the	the	DET
bracis-33548	29	12	resulting	result	VERB
bracis-33548	29	13	problem	problem	NOUN
bracis-33548	29	14	is	be	AUX
bracis-33548	29	15	computationally	computationally	ADV
bracis-33548	29	16	easier	easy	ADJ
bracis-33548	29	17	to	to	PART
bracis-33548	29	18	solve	solve	VERB
bracis-33548	29	19	.	.	PUNCT
bracis-33548	30	1	remarkably	remarkably	ADV
bracis-33548	30	2	,	,	PUNCT
bracis-33548	30	3	however	however	ADV
bracis-33548	30	4	,	,	PUNCT
bracis-33548	30	5	these	these	DET
bracis-33548	30	6	works	work	NOUN
bracis-33548	30	7	are	be	AUX
bracis-33548	30	8	constrained	constrain	VERB
bracis-33548	30	9	to	to	ADP
bracis-33548	30	10	sampling	sample	VERB
bracis-33548	30	11	from	from	ADP
bracis-33548	30	12	unnormalized	unnormalized	ADJ
bracis-33548	30	13	distributions	distribution	NOUN
bracis-33548	30	14	with	with	ADP
bracis-33548	30	15	finite	finite	ADJ
bracis-33548	30	16	support	support	NOUN
bracis-33548	30	17	;	;	PUNCT
bracis-33548	30	18	a	a	DET
bracis-33548	30	19	formal	formal	ADJ
bracis-33548	30	20	extension	extension	NOUN
bracis-33548	30	21	and	and	CCONJ
bracis-33548	30	22	an	an	DET
bracis-33548	30	23	empirical	empirical	ADJ
bracis-33548	30	24	validation	validation	NOUN
bracis-33548	30	25	of	of	ADP
bracis-33548	30	26	these	these	DET
bracis-33548	30	27	objectives	objective	NOUN
bracis-33548	30	28	to	to	ADP
bracis-33548	30	29	the	the	DET
bracis-33548	30	30	non	non	ADJ
bracis-33548	30	31	-	-	ADJ
bracis-33548	30	32	discrete	discrete	ADJ
bracis-33548	30	33	setting	setting	NOUN
bracis-33548	30	34	is	be	AUX
bracis-33548	30	35	lacking	lack	VERB
bracis-33548	30	36	in	in	ADP
bracis-33548	30	37	the	the	DET
bracis-33548	30	38	literature	literature	NOUN
bracis-33548	30	39	.	.	PUNCT
bracis-33548	31	1	in	in	ADP
bracis-33548	31	2	this	this	DET
bracis-33548	31	3	context	context	NOUN
bracis-33548	31	4	,	,	PUNCT
bracis-33548	31	5	we	we	PRON
bracis-33548	31	6	extend	extend	VERB
bracis-33548	31	7	both	both	CCONJ
bracis-33548	31	8	the	the	DET
bracis-33548	31	9	contrastive	contrastive	ADJ
bracis-33548	31	10	balance	balance	NOUN
bracis-33548	31	11	condition	condition	NOUN
bracis-33548	31	12	and	and	CCONJ
bracis-33548	31	13	the	the	DET
bracis-33548	31	14	contrastive	contrastive	ADJ
bracis-33548	31	15	loss	loss	NOUN
bracis-33548	31	16	function	function	NOUN
bracis-33548	31	17	[	[	X
bracis-33548	31	18	23	23	NUM
bracis-33548	31	19	]	]	PUNCT
bracis-33548	31	20	to	to	PART
bracis-33548	31	21	train	train	VERB
bracis-33548	31	22	gflownets	gflownet	NOUN
bracis-33548	31	23	defined	define	VERB
bracis-33548	31	24	on	on	ADP
bracis-33548	31	25	measurable	measurable	ADJ
bracis-33548	31	26	topological	topological	ADJ
bracis-33548	31	27	spaces	space	NOUN
bracis-33548	31	28	[	[	X
bracis-33548	31	29	13	13	NUM
bracis-33548	31	30	]	]	PUNCT
bracis-33548	31	31	.	.	PUNCT
bracis-33548	32	1	in	in	ADP
bracis-33548	32	2	addition	addition	NOUN
bracis-33548	32	3	,	,	PUNCT
bracis-33548	32	4	we	we	PRON
bracis-33548	32	5	empirically	empirically	ADV
bracis-33548	32	6	show	show	VERB
bracis-33548	32	7	that	that	SCONJ
bracis-33548	32	8	the	the	DET
bracis-33548	32	9	resulting	result	VERB
bracis-33548	32	10	continuous	continuous	ADJ
bracis-33548	32	11	contrastive	contrastive	ADJ
bracis-33548	32	12	loss	loss	NOUN
bracis-33548	32	13	(	(	PUNCT
bracis-33548	32	14	ccl	ccl	NOUN
bracis-33548	32	15	)	)	PUNCT
bracis-33548	32	16	frequently	frequently	ADV
bracis-33548	32	17	leads	lead	VERB
bracis-33548	32	18	to	to	ADP
bracis-33548	32	19	faster	fast	ADJ
bracis-33548	32	20	training	training	NOUN
bracis-33548	32	21	convergence	convergence	NOUN
bracis-33548	32	22	with	with	ADP
bracis-33548	32	23	respect	respect	NOUN
bracis-33548	32	24	to	to	ADP
bracis-33548	32	25	competing	compete	VERB
bracis-33548	32	26	learning	learn	VERB
bracis-33548	32	27	objectives	objective	NOUN
bracis-33548	32	28	for	for	ADP
bracis-33548	32	29	the	the	DET
bracis-33548	32	30	standard	standard	ADJ
bracis-33548	32	31	tasks	task	NOUN
bracis-33548	32	32	of	of	ADP
bracis-33548	32	33	approximating	approximate	VERB
bracis-33548	32	34	a	a	DET
bracis-33548	32	35	sparse	sparse	ADJ
bracis-33548	32	36	mixture	mixture	NOUN
bracis-33548	32	37	of	of	ADP
bracis-33548	32	38	multivariate	multivariate	NOUN
bracis-33548	32	39	gaussian	gaussian	ADJ
bracis-33548	32	40	distributions	distribution	NOUN
bracis-33548	32	41	and	and	CCONJ
bracis-33548	32	42	a	a	DET
bracis-33548	32	43	banana	banana	NOUN
bracis-33548	32	44	-	-	PUNCT
bracis-33548	32	45	shaped	shape	VERB
bracis-33548	32	46	distribution	distribution	NOUN
bracis-33548	32	47	.	.	PUNCT
bracis-33548	33	1	in	in	ADP
bracis-33548	33	2	summary	summary	NOUN
bracis-33548	33	3	,	,	PUNCT
bracis-33548	33	4	our	our	PRON
bracis-33548	33	5	contributions	contribution	NOUN
bracis-33548	33	6	are	be	AUX
bracis-33548	33	7	:	:	PUNCT
bracis-33548	33	8	1	1	X
bracis-33548	33	9	.	.	X
bracis-33548	33	10	we	we	PRON
bracis-33548	33	11	derive	derive	VERB
bracis-33548	33	12	a	a	DET
bracis-33548	33	13	contrastive	contrastive	ADJ
bracis-33548	33	14	balance	balance	NOUN
bracis-33548	33	15	condition	condition	NOUN
bracis-33548	33	16	for	for	ADP
bracis-33548	33	17	continuous	continuous	ADJ
bracis-33548	33	18	gflownets	gflownet	NOUN
bracis-33548	33	19	and	and	CCONJ
bracis-33548	33	20	rigorously	rigorously	ADV
bracis-33548	33	21	show	show	VERB
bracis-33548	33	22	that	that	SCONJ
bracis-33548	33	23	it	it	PRON
bracis-33548	33	24	is	be	AUX
bracis-33548	33	25	a	a	DET
bracis-33548	33	26	sufficient	sufficient	ADJ
bracis-33548	33	27	for	for	ADP
bracis-33548	33	28	ensuring	ensure	VERB
bracis-33548	33	29	sampling	sample	VERB
bracis-33548	33	30	correctness	correctness	NOUN
bracis-33548	33	31	;	;	PUNCT
bracis-33548	34	1	2	2	X
bracis-33548	34	2	.	.	X
bracis-33548	34	3	we	we	PRON
bracis-33548	34	4	propose	propose	VERB
bracis-33548	34	5	the	the	DET
bracis-33548	34	6	continuous	continuous	ADJ
bracis-33548	34	7	contrastive	contrastive	ADJ
bracis-33548	34	8	loss	loss	NOUN
bracis-33548	34	9	(	(	PUNCT
bracis-33548	34	10	ccl	ccl	PROPN
bracis-33548	34	11	)	)	PUNCT
bracis-33548	34	12	as	as	ADP
bracis-33548	34	13	a	a	DET
bracis-33548	34	14	theoretically	theoretically	ADV
bracis-33548	34	15	sound	sound	ADJ
bracis-33548	34	16	learning	learn	VERB
bracis-33548	34	17	objective	objective	NOUN
bracis-33548	34	18	for	for	ADP
bracis-33548	34	19	gflownets	gflownet	NOUN
bracis-33548	34	20	that	that	PRON
bracis-33548	34	21	does	do	AUX
bracis-33548	34	22	not	not	PART
bracis-33548	34	23	rely	rely	VERB
bracis-33548	34	24	on	on	ADP
bracis-33548	34	25	the	the	DET
bracis-33548	34	26	estimation	estimation	NOUN
bracis-33548	34	27	of	of	ADP
bracis-33548	34	28	high	high	ADJ
bracis-33548	34	29	-	-	PUNCT
bracis-33548	34	30	dimensional	dimensional	ADJ
bracis-33548	34	31	integrals	integral	NOUN
bracis-33548	34	32	via	via	ADP
bracis-33548	34	33	sgd	sgd	PROPN
bracis-33548	34	34	during	during	ADP
bracis-33548	34	35	training	training	NOUN
bracis-33548	34	36	;	;	PUNCT
bracis-33548	34	37	3	3	X
bracis-33548	34	38	.	.	X
bracis-33548	34	39	we	we	PRON
bracis-33548	34	40	empirically	empirically	ADV
bracis-33548	34	41	compare	compare	VERB
bracis-33548	34	42	the	the	DET
bracis-33548	34	43	performance	performance	NOUN
bracis-33548	34	44	of	of	ADP
bracis-33548	34	45	ccl	ccl	PROPN
bracis-33548	34	46	against	against	ADP
bracis-33548	34	47	alternative	alternative	ADJ
bracis-33548	34	48	loss	loss	NOUN
bracis-33548	34	49	functions	function	NOUN
bracis-33548	34	50	and	and	CCONJ
bracis-33548	34	51	show	show	VERB
bracis-33548	34	52	that	that	SCONJ
bracis-33548	34	53	ccl	ccl	PROPN
bracis-33548	34	54	leads	lead	VERB
bracis-33548	34	55	to	to	ADP
bracis-33548	34	56	faster	fast	ADJ
bracis-33548	34	57	convergence	convergence	NOUN
bracis-33548	34	58	in	in	ADP
bracis-33548	34	59	most	most	ADJ
bracis-33548	34	60	cases	case	NOUN
bracis-33548	34	61	.	.	PUNCT
bracis-33548	35	1	the	the	DET
bracis-33548	35	2	paper	paper	NOUN
bracis-33548	35	3	is	be	AUX
bracis-33548	35	4	organized	organize	VERB
bracis-33548	35	5	as	as	SCONJ
bracis-33548	35	6	follows	follow	VERB
bracis-33548	35	7	.	.	PUNCT
bracis-33548	36	1	in	in	ADP
bracis-33548	36	2	sect	sect	NOUN
bracis-33548	36	3	.	.	PUNCT
bracis-33548	36	4	 	 	SPACE
bracis-33548	36	5	2	2	NUM
bracis-33548	36	6	,	,	PUNCT
bracis-33548	36	7	we	we	PRON
bracis-33548	36	8	recall	recall	VERB
bracis-33548	36	9	the	the	DET
bracis-33548	36	10	notions	notion	NOUN
bracis-33548	36	11	of	of	ADP
bracis-33548	36	12	a	a	DET
bracis-33548	36	13	measurable	measurable	ADJ
bracis-33548	36	14	pointed	point	VERB
bracis-33548	36	15	directed	direct	VERB
bracis-33548	36	16	acyclic	acyclic	ADJ
bracis-33548	36	17	graph	graph	NOUN
bracis-33548	36	18	(	(	PUNCT
bracis-33548	36	19	dag	dag	PROPN
bracis-33548	36	20	)	)	PUNCT
bracis-33548	36	21	,	,	PUNCT
bracis-33548	36	22	transition	transition	NOUN
bracis-33548	36	23	kernels	kernel	NOUN
bracis-33548	36	24	and	and	CCONJ
bracis-33548	36	25	flow	flow	NOUN
bracis-33548	36	26	networks	network	NOUN
bracis-33548	36	27	,	,	PUNCT
bracis-33548	36	28	laying	lay	VERB
bracis-33548	36	29	out	out	ADP
bracis-33548	36	30	the	the	DET
bracis-33548	36	31	theoretical	theoretical	ADJ
bracis-33548	36	32	framework	framework	NOUN
bracis-33548	36	33	upon	upon	SCONJ
bracis-33548	36	34	which	which	PRON
bracis-33548	36	35	gflownets	gflownet	NOUN
bracis-33548	36	36	are	be	AUX
bracis-33548	36	37	built	build	VERB
bracis-33548	36	38	,	,	PUNCT
bracis-33548	36	39	and	and	CCONJ
bracis-33548	36	40	also	also	ADV
bracis-33548	36	41	review	review	VERB
bracis-33548	36	42	popular	popular	ADJ
bracis-33548	36	43	learning	learning	NOUN
bracis-33548	36	44	objectives	objective	NOUN
bracis-33548	36	45	for	for	ADP
bracis-33548	36	46	continuous	continuous	ADJ
bracis-33548	36	47	gflownets	gflownet	NOUN
bracis-33548	36	48	.	.	PUNCT
bracis-33548	37	1	then	then	ADV
bracis-33548	37	2	,	,	PUNCT
bracis-33548	37	3	in	in	ADP
bracis-33548	37	4	sect	sect	NOUN
bracis-33548	37	5	.	.	PUNCT
bracis-33548	37	6	 	 	SPACE
bracis-33548	37	7	3	3	NUM
bracis-33548	37	8	,	,	PUNCT
bracis-33548	37	9	we	we	PRON
bracis-33548	37	10	rigorously	rigorously	ADV
bracis-33548	37	11	derive	derive	VERB
bracis-33548	37	12	the	the	DET
bracis-33548	37	13	contrastive	contrastive	ADJ
bracis-33548	37	14	balance	balance	NOUN
bracis-33548	37	15	condition	condition	NOUN
bracis-33548	37	16	and	and	CCONJ
bracis-33548	37	17	propose	propose	VERB
bracis-33548	37	18	ccl	ccl	PROPN
bracis-33548	37	19	as	as	ADP
bracis-33548	37	20	a	a	DET
bracis-33548	37	21	sound	sound	NOUN
bracis-33548	37	22	learning	learn	VERB
bracis-33548	37	23	objective	objective	NOUN
bracis-33548	37	24	for	for	ADP
bracis-33548	37	25	gflownets	gflownet	NOUN
bracis-33548	37	26	,	,	PUNCT
bracis-33548	37	27	the	the	DET
bracis-33548	37	28	performance	performance	NOUN
bracis-33548	37	29	of	of	ADP
bracis-33548	37	30	which	which	PRON
bracis-33548	37	31	is	be	AUX
bracis-33548	37	32	assessed	assess	VERB
bracis-33548	37	33	in	in	ADP
bracis-33548	37	34	sect	sect	NOUN
bracis-33548	37	35	.	.	PUNCT
bracis-33548	37	36	 	 	SPACE
bracis-33548	37	37	4	4	NUM
bracis-33548	37	38	for	for	ADP
bracis-33548	37	39	the	the	DET
bracis-33548	37	40	approximation	approximation	NOUN
bracis-33548	37	41	of	of	ADP
bracis-33548	37	42	a	a	DET
bracis-33548	37	43	mixture	mixture	NOUN
bracis-33548	37	44	of	of	ADP
bracis-33548	37	45	multivariate	multivariate	NOUN
bracis-33548	37	46	gaussians	gaussian	NOUN
bracis-33548	37	47	and	and	CCONJ
bracis-33548	37	48	of	of	ADP
bracis-33548	37	49	a	a	DET
bracis-33548	37	50	banana	banana	NOUN
bracis-33548	37	51	-	-	PUNCT
bracis-33548	37	52	shaped	shape	VERB
bracis-33548	37	53	distributions	distribution	NOUN
bracis-33548	38	1	[	[	X
bracis-33548	38	2	16	16	NUM
bracis-33548	38	3	]	]	PUNCT
bracis-33548	38	4	.	.	PUNCT
bracis-33548	39	1	finally	finally	ADV
bracis-33548	39	2	,	,	PUNCT
bracis-33548	39	3	we	we	PRON
bracis-33548	39	4	provide	provide	VERB
bracis-33548	39	5	a	a	DET
bracis-33548	39	6	summary	summary	NOUN
bracis-33548	39	7	of	of	ADP
bracis-33548	39	8	the	the	DET
bracis-33548	39	9	relevant	relevant	ADJ
bracis-33548	39	10	literature	literature	NOUN
bracis-33548	39	11	in	in	ADP
bracis-33548	39	12	sect	sect	NOUN
bracis-33548	39	13	.	.	PUNCT
bracis-33548	39	14	 	 	SPACE
bracis-33548	39	15	5	5	NUM
bracis-33548	39	16	and	and	CCONJ
bracis-33548	39	17	a	a	DET
bracis-33548	39	18	discussion	discussion	NOUN
bracis-33548	39	19	of	of	ADP
bracis-33548	39	20	future	future	ADJ
bracis-33548	39	21	directions	direction	NOUN
bracis-33548	39	22	,	,	PUNCT
bracis-33548	39	23	along	along	ADP
bracis-33548	39	24	with	with	ADP
bracis-33548	39	25	some	some	DET
bracis-33548	39	26	concluding	concluding	NOUN
bracis-33548	39	27	remarks	remark	NOUN
bracis-33548	39	28	,	,	PUNCT
bracis-33548	39	29	in	in	ADP
bracis-33548	39	30	sect	sect	NOUN
bracis-33548	39	31	.	.	PUNCT
bracis-33548	39	32	 	 	SPACE
bracis-33548	40	1	6	6	NUM
bracis-33548	40	2	.	.	SYM
bracis-33548	40	3	2	2	NUM
bracis-33548	40	4	background	background	NOUN
bracis-33548	40	5	this	this	DET
bracis-33548	40	6	section	section	NOUN
bracis-33548	40	7	reviews	review	VERB
bracis-33548	40	8	the	the	DET
bracis-33548	40	9	main	main	ADJ
bracis-33548	40	10	components	component	NOUN
bracis-33548	40	11	of	of	ADP
bracis-33548	40	12	and	and	CCONJ
bracis-33548	40	13	the	the	DET
bracis-33548	40	14	commonly	commonly	ADV
bracis-33548	40	15	used	use	VERB
bracis-33548	40	16	learning	learn	VERB
bracis-33548	40	17	objectives	objective	NOUN
bracis-33548	40	18	for	for	ADP
bracis-33548	40	19	gflownets	gflownet	NOUN
bracis-33548	40	20	.	.	PUNCT
bracis-33548	41	1	to	to	PART
bracis-33548	41	2	build	build	VERB
bracis-33548	41	3	intuition	intuition	NOUN
bracis-33548	41	4	,	,	PUNCT
bracis-33548	41	5	we	we	PRON
bracis-33548	41	6	firstly	firstly	ADV
bracis-33548	41	7	define	define	VERB
bracis-33548	41	8	a	a	DET
bracis-33548	41	9	gflownet	gflownet	NOUN
bracis-33548	41	10	for	for	ADP
bracis-33548	41	11	finitely	finitely	ADV
bracis-33548	41	12	supported	support	VERB
bracis-33548	41	13	distributions	distribution	NOUN
bracis-33548	41	14	in	in	ADP
bracis-33548	41	15	sect	sect	NOUN
bracis-33548	41	16	.	.	PUNCT
bracis-33548	41	17	 	 	SPACE
bracis-33548	41	18	2.1	2.1	NUM
bracis-33548	41	19	.	.	PUNCT
bracis-33548	42	1	then	then	ADV
bracis-33548	42	2	,	,	PUNCT
bracis-33548	42	3	we	we	PRON
bracis-33548	42	4	review	review	VERB
bracis-33548	42	5	the	the	DET
bracis-33548	42	6	formal	formal	ADJ
bracis-33548	42	7	framework	framework	NOUN
bracis-33548	42	8	of	of	ADP
bracis-33548	42	9	lahlou	lahlou	PROPN
bracis-33548	42	10	et	et	PROPN
bracis-33548	42	11	al	al	PROPN
bracis-33548	42	12	.	.	PUNCT
bracis-33548	43	1	[	[	X
bracis-33548	43	2	13	13	NUM
bracis-33548	43	3	]	]	PUNCT
bracis-33548	43	4	for	for	ADP
bracis-33548	43	5	extending	extend	VERB
bracis-33548	43	6	the	the	DET
bracis-33548	43	7	notion	notion	NOUN
bracis-33548	43	8	of	of	ADP
bracis-33548	43	9	a	a	DET
bracis-33548	43	10	flow	flow	NOUN
bracis-33548	43	11	networks	network	NOUN
bracis-33548	43	12	to	to	ADP
bracis-33548	43	13	arbitrary	arbitrary	ADJ
bracis-33548	43	14	topological	topological	ADJ
bracis-33548	43	15	spaces	space	NOUN
bracis-33548	43	16	by	by	ADP
bracis-33548	43	17	substituting	substitute	VERB
bracis-33548	43	18	an	an	DET
bracis-33548	43	19	adjacency	adjacency	NOUN
bracis-33548	43	20	matrix	matrix	NOUN
bracis-33548	43	21	by	by	ADP
bracis-33548	43	22	a	a	DET
bracis-33548	43	23	transition	transition	NOUN
bracis-33548	43	24	kernel	kernel	NOUN
bracis-33548	43	25	that	that	PRON
bracis-33548	43	26	describes	describe	VERB
bracis-33548	43	27	the	the	DET
bracis-33548	43	28	continuous	continuous	ADJ
bracis-33548	43	29	network	network	NOUN
bracis-33548	43	30	’s	’s	PART
bracis-33548	43	31	connectivity	connectivity	NOUN
bracis-33548	43	32	.	.	PUNCT
bracis-33548	44	1	2.1	2.1	NUM
bracis-33548	44	2	gflownets	gflownet	NOUN
bracis-33548	44	3	in	in	ADP
bracis-33548	44	4	 	 	SPACE
bracis-33548	44	5	discrete	discrete	ADJ
bracis-33548	44	6	spaces	space	NOUN
bracis-33548	44	7	discrete	discrete	ADJ
bracis-33548	44	8	gflownets	gflownet	NOUN
bracis-33548	44	9	.	.	PUNCT
bracis-33548	45	1	let	let	VERB
bracis-33548	45	2	r	r	PRON
bracis-33548	45	3	be	be	AUX
bracis-33548	45	4	a	a	DET
bracis-33548	45	5	(	(	PUNCT
bracis-33548	45	6	potentially	potentially	ADV
bracis-33548	45	7	unnormalized	unnormalize	VERB
bracis-33548	45	8	)	)	PUNCT
bracis-33548	45	9	probability	probability	NOUN
bracis-33548	45	10	distribution	distribution	NOUN
bracis-33548	45	11	on	on	ADP
bracis-33548	45	12	a	a	DET
bracis-33548	45	13	finite	finite	ADJ
bracis-33548	45	14	space	space	NOUN
bracis-33548	45	15	\(\mathcal	\(\mathcal	ADJ
bracis-33548	45	16	{	{	PUNCT
bracis-33548	45	17	x}\	x}\	PROPN
bracis-33548	45	18	)	)	PUNCT
bracis-33548	45	19	and	and	CCONJ
bracis-33548	45	20	\(s	\(s	VERB
bracis-33548	45	21	\supseteq	\supseteq	PROPN
bracis-33548	45	22	\mathcal	\mathcal	PROPN
bracis-33548	45	23	{	{	PUNCT
bracis-33548	45	24	x}\	x}\	PROPN
bracis-33548	45	25	)	)	PUNCT
bracis-33548	45	26	be	be	VERB
bracis-33548	45	27	an	an	DET
bracis-33548	45	28	extension	extension	NOUN
bracis-33548	45	29	of	of	ADP
bracis-33548	45	30	\(\mathcal	\(\mathcal	ADJ
bracis-33548	45	31	{	{	PUNCT
bracis-33548	45	32	x}\	x}\	PROPN
bracis-33548	45	33	)	)	PUNCT
bracis-33548	45	34	with	with	ADP
bracis-33548	45	35	two	two	NUM
bracis-33548	45	36	distinguished	distinguished	ADJ
bracis-33548	45	37	elements	element	NOUN
bracis-33548	45	38	,	,	PUNCT
bracis-33548	45	39	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	45	40	)	)	PUNCT
bracis-33548	45	41	and	and	CCONJ
bracis-33548	45	42	\(s_{f}\	\(s_{f}\	ADV
bracis-33548	45	43	)	)	PUNCT
bracis-33548	45	44	.	.	PUNCT
bracis-33548	46	1	our	our	PRON
bracis-33548	46	2	objective	objective	NOUN
bracis-33548	46	3	is	be	AUX
bracis-33548	46	4	to	to	PART
bracis-33548	46	5	randomly	randomly	VERB
bracis-33548	46	6	sample	sample	NOUN
bracis-33548	46	7	elements	element	NOUN
bracis-33548	46	8	\(x	\(x	PROPN
bracis-33548	46	9	\in	\in	PROPN
bracis-33548	46	10	\mathcal	\mathcal	PROPN
bracis-33548	46	11	{	{	PUNCT
bracis-33548	46	12	x}\	x}\	PROPN
bracis-33548	46	13	)	)	PUNCT
bracis-33548	46	14	proportionally	proportionally	ADV
bracis-33548	46	15	to	to	ADP
bracis-33548	46	16	r(x	r(x	NOUN
bracis-33548	46	17	)	)	PUNCT
bracis-33548	46	18	.	.	PUNCT
bracis-33548	47	1	for	for	ADP
bracis-33548	47	2	this	this	PRON
bracis-33548	47	3	,	,	PUNCT
bracis-33548	47	4	we	we	PRON
bracis-33548	47	5	let	let	VERB
bracis-33548	47	6	\(g	\(g	ADJ
bracis-33548	47	7	=	=	SYM
bracis-33548	47	8	(	(	PUNCT
bracis-33548	47	9	s	s	PROPN
bracis-33548	47	10	,	,	PUNCT
bracis-33548	47	11	e)\	e)\	NOUN
bracis-33548	47	12	)	)	PUNCT
bracis-33548	47	13	be	be	VERB
bracis-33548	47	14	a	a	DET
bracis-33548	47	15	dag	dag	NOUN
bracis-33548	47	16	with	with	ADP
bracis-33548	47	17	edges	edge	NOUN
bracis-33548	47	18	e	e	VERB
bracis-33548	47	19	such	such	ADJ
bracis-33548	47	20	that	that	PRON
bracis-33548	47	21	(	(	PUNCT
bracis-33548	47	22	i	i	NOUN
bracis-33548	47	23	)	)	PUNCT
bracis-33548	47	24	the	the	DET
bracis-33548	47	25	only	only	ADJ
bracis-33548	47	26	nodes	node	NOUN
bracis-33548	47	27	connected	connect	VERB
bracis-33548	47	28	to	to	PART
bracis-33548	47	29	\(s_{f}\	\(s_{f}\	ADV
bracis-33548	47	30	)	)	PUNCT
bracis-33548	47	31	are	be	AUX
bracis-33548	47	32	those	those	PRON
bracis-33548	47	33	in	in	ADP
bracis-33548	47	34	\(\mathcal	\(\mathcal	ADJ
bracis-33548	47	35	{	{	PUNCT
bracis-33548	47	36	x}\	x}\	PROPN
bracis-33548	47	37	)	)	PUNCT
bracis-33548	47	38	,	,	PUNCT
bracis-33548	47	39	(	(	PUNCT
bracis-33548	47	40	ii	ii	NOUN
bracis-33548	47	41	)	)	PUNCT
bracis-33548	47	42	there	there	PRON
bracis-33548	47	43	is	be	VERB
bracis-33548	47	44	a	a	DET
bracis-33548	47	45	path	path	NOUN
bracis-33548	47	46	from	from	ADP
bracis-33548	47	47	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	47	48	)	)	PUNCT
bracis-33548	47	49	to	to	ADP
bracis-33548	47	50	every	every	DET
bracis-33548	47	51	\(x	\(x	ADJ
bracis-33548	47	52	\in	\in	PROPN
bracis-33548	47	53	\mathcal	\mathcal	PROPN
bracis-33548	47	54	{	{	PUNCT
bracis-33548	47	55	x}\	x}\	PROPN
bracis-33548	47	56	)	)	PUNCT
bracis-33548	47	57	,	,	PUNCT
bracis-33548	47	58	(	(	PUNCT
bracis-33548	47	59	iii	iii	X
bracis-33548	47	60	)	)	PUNCT
bracis-33548	47	61	there	there	PRON
bracis-33548	47	62	are	be	VERB
bracis-33548	47	63	no	no	DET
bracis-33548	47	64	outgoing	outgoing	ADJ
bracis-33548	47	65	edges	edge	NOUN
bracis-33548	47	66	from	from	ADP
bracis-33548	47	67	\(s_{f}\	\(s_{f}\	ADV
bracis-33548	47	68	)	)	PUNCT
bracis-33548	47	69	and	and	CCONJ
bracis-33548	47	70	there	there	PRON
bracis-33548	47	71	are	be	VERB
bracis-33548	47	72	no	no	DET
bracis-33548	47	73	incoming	incoming	ADJ
bracis-33548	47	74	edges	edge	NOUN
bracis-33548	47	75	to	to	ADP
bracis-33548	47	76	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	47	77	)	)	PUNCT
bracis-33548	47	78	.	.	PUNCT
bracis-33548	48	1	we	we	PRON
bracis-33548	48	2	call	call	VERB
bracis-33548	48	3	\(\mathcal	\(\mathcal	ADJ
bracis-33548	48	4	{	{	PUNCT
bracis-33548	48	5	g}\	g}\	PROPN
bracis-33548	48	6	)	)	PUNCT
bracis-33548	48	7	the	the	DET
bracis-33548	48	8	state	state	NOUN
bracis-33548	48	9	graph	graph	NOUN
bracis-33548	48	10	.	.	PUNCT
bracis-33548	49	1	in	in	ADP
bracis-33548	49	2	this	this	DET
bracis-33548	49	3	setting	setting	NOUN
bracis-33548	49	4	,	,	PUNCT
bracis-33548	49	5	let	let	VERB
bracis-33548	49	6	\(p_{f	\(p_{f	NOUN
bracis-33548	49	7	}	}	PUNCT
bracis-33548	49	8	:	:	PUNCT
bracis-33548	49	9	s	s	X
bracis-33548	49	10	\times	\times	ADP
bracis-33548	49	11	s	s	VERB
bracis-33548	49	12	\rightarrow	\rightarrow	PROPN
bracis-33548	49	13	\mathbb	\mathbb	PROPN
bracis-33548	49	14	{	{	PUNCT
bracis-33548	49	15	r}_{+}\	r}_{+}\	PROPN
bracis-33548	49	16	)	)	PUNCT
bracis-33548	49	17	be	be	AUX
bracis-33548	49	18	a	a	DET
bracis-33548	49	19	forward	forward	ADJ
bracis-33548	49	20	policy	policy	NOUN
bracis-33548	49	21	on	on	ADP
bracis-33548	49	22	\(\mathcal	\(\mathcal	ADJ
bracis-33548	49	23	{	{	PUNCT
bracis-33548	49	24	g}\	g}\	NOUN
bracis-33548	49	25	)	)	PUNCT
bracis-33548	49	26	,	,	PUNCT
bracis-33548	49	27	i.e.	i.e.	X
bracis-33548	49	28	,	,	PUNCT
bracis-33548	49	29	a	a	DET
bracis-33548	49	30	function	function	NOUN
bracis-33548	49	31	such	such	ADJ
bracis-33548	49	32	that	that	DET
bracis-33548	49	33	\(p_{f}(s	\(p_{f}(s	NOUN
bracis-33548	49	34	,	,	PUNCT
bracis-33548	49	35	\cdot	\cdot	NOUN
bracis-33548	49	36	)	)	PUNCT
bracis-33548	49	37	\	\	NOUN
bracis-33548	49	38	)	)	PUNCT
bracis-33548	49	39	is	be	AUX
bracis-33548	49	40	a	a	DET
bracis-33548	49	41	probability	probability	NOUN
bracis-33548	49	42	measure	measure	NOUN
bracis-33548	49	43	on	on	ADP
bracis-33548	49	44	s	s	PRON
bracis-33548	49	45	supported	support	VERB
bracis-33548	49	46	on	on	ADP
bracis-33548	49	47	the	the	DET
bracis-33548	49	48	children	child	NOUN
bracis-33548	49	49	of	of	ADP
bracis-33548	49	50	s	s	PRON
bracis-33548	49	51	in	in	ADP
bracis-33548	49	52	\(\mathcal	\(\mathcal	ADJ
bracis-33548	49	53	{	{	PUNCT
bracis-33548	49	54	g}\	g}\	NOUN
bracis-33548	49	55	)	)	PUNCT
bracis-33548	49	56	and	and	CCONJ
bracis-33548	49	57	\(p_{f}(\tau	\(p_{f}(\tau	ADV
bracis-33548	49	58	)	)	PUNCT
bracis-33548	50	1	=	=	PUNCT
bracis-33548	51	1	\prod	\prod	PROPN
bracis-33548	51	2	_	_	PROPN
bracis-33548	51	3	{	{	PUNCT
bracis-33548	51	4	1	1	NUM
bracis-33548	51	5	\le	\le	PROPN
bracis-33548	51	6	i	i	PRON
bracis-33548	51	7	\le	\le	PROPN
bracis-33548	51	8	n	n	CCONJ
bracis-33548	51	9	}	}	PUNCT
bracis-33548	51	10	p_{f}(s_{i	p_{f}(s_{i	PROPN
bracis-33548	51	11	}	}	PUNCT
bracis-33548	51	12	|	|	ADV
bracis-33548	51	13	s_{i	s_{i	NOUN
bracis-33548	51	14	1})\	1})\	NOUN
bracis-33548	51	15	)	)	PUNCT
bracis-33548	51	16	be	be	AUX
bracis-33548	51	17	the	the	DET
bracis-33548	51	18	corresponding	corresponding	ADJ
bracis-33548	51	19	distribution	distribution	NOUN
bracis-33548	51	20	over	over	ADP
bracis-33548	51	21	trajectories	trajectory	NOUN
bracis-33548	51	22	\(\tau	\(\tau	PUNCT
bracis-33548	52	1	=	=	SYM
bracis-33548	52	2	(	(	PUNCT
bracis-33548	52	3	s_{o	s_{o	PROPN
bracis-33548	52	4	}	}	PUNCT
bracis-33548	52	5	,	,	PUNCT
bracis-33548	52	6	\dots	\dot	NOUN
bracis-33548	52	7	,	,	PUNCT
bracis-33548	52	8	s_{n	s_{n	ADJ
bracis-33548	52	9	1	1	NUM
bracis-33548	52	10	}	}	PUNCT
bracis-33548	52	11	,	,	PUNCT
bracis-33548	52	12	s_{n	s_{n	ADJ
bracis-33548	52	13	}	}	PUNCT
bracis-33548	52	14	=	=	SYM
bracis-33548	52	15	s_{f})\	s_{f})\	NOUN
bracis-33548	52	16	)	)	PUNCT
bracis-33548	52	17	.	.	PUNCT
bracis-33548	53	1	to	to	PART
bracis-33548	53	2	accomplish	accomplish	VERB
bracis-33548	53	3	our	our	PRON
bracis-33548	53	4	objective	objective	NOUN
bracis-33548	53	5	,	,	PUNCT
bracis-33548	53	6	we	we	PRON
bracis-33548	53	7	must	must	AUX
bracis-33548	53	8	find	find	VERB
bracis-33548	53	9	a	a	DET
bracis-33548	53	10	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	53	11	)	)	PUNCT
bracis-33548	53	12	for	for	ADP
bracis-33548	53	13	which	which	PRON
bracis-33548	53	14	$	$	SYM
bracis-33548	53	15	$	$	SYM
bracis-33548	53	16	\begin{aligned	\begin{aligne	VERB
bracis-33548	53	17	}	}	PUNCT
bracis-33548	53	18	\sum	\sum	NOUN
bracis-33548	53	19	_	_	PUNCT
bracis-33548	53	20	{	{	PUNCT
bracis-33548	53	21	\tau	\tau	PROPN
bracis-33548	53	22	:	:	PUNCT
bracis-33548	53	23	\tau	\tau	PROPN
bracis-33548	53	24	\rightsquigarrow	\rightsquigarrow	VERB
bracis-33548	53	25	x	x	PRON
bracis-33548	53	26	}	}	PUNCT
bracis-33548	53	27	p_{f}(\tau	p_{f}(\tau	ADV
bracis-33548	53	28	)	)	PUNCT
bracis-33548	54	1	\propto	\propto	PROPN
bracis-33548	55	1	r(x	r(x	PROPN
bracis-33548	55	2	)	)	PUNCT
bracis-33548	55	3	.	.	PUNCT
bracis-33548	56	1	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-33548	56	2	(	(	PUNCT
bracis-33548	56	3	1	1	NUM
bracis-33548	56	4	)	)	PUNCT
bracis-33548	56	5	in	in	ADP
bracis-33548	56	6	practice	practice	NOUN
bracis-33548	56	7	,	,	PUNCT
bracis-33548	56	8	the	the	DET
bracis-33548	56	9	left	left	ADJ
bracis-33548	56	10	-	-	PUNCT
bracis-33548	56	11	hand	hand	NOUN
bracis-33548	56	12	-	-	PUNCT
bracis-33548	56	13	side	side	NOUN
bracis-33548	56	14	of	of	ADP
bracis-33548	56	15	eq	eq	PROPN
bracis-33548	56	16	.	.	PUNCT
bracis-33548	56	17	 	 	SPACE
bracis-33548	56	18	(	(	PUNCT
bracis-33548	56	19	1	1	X
bracis-33548	56	20	)	)	PUNCT
bracis-33548	56	21	is	be	AUX
bracis-33548	56	22	computationally	computationally	ADV
bracis-33548	56	23	intractable	intractable	ADJ
bracis-33548	56	24	and	and	CCONJ
bracis-33548	56	25	is	be	AUX
bracis-33548	56	26	satisfied	satisfied	ADJ
bracis-33548	56	27	by	by	ADP
bracis-33548	56	28	a	a	DET
bracis-33548	56	29	possibly	possibly	ADV
bracis-33548	56	30	infinite	infinite	ADJ
bracis-33548	56	31	number	number	NOUN
bracis-33548	56	32	of	of	ADP
bracis-33548	56	33	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	56	34	)	)	PUNCT
bracis-33548	56	35	’s	’s	NOUN
bracis-33548	56	36	.	.	PUNCT
bracis-33548	57	1	to	to	PART
bracis-33548	57	2	ensure	ensure	VERB
bracis-33548	57	3	tractability	tractability	NOUN
bracis-33548	57	4	and	and	CCONJ
bracis-33548	57	5	uniqueness	uniqueness	NOUN
bracis-33548	57	6	,	,	PUNCT
bracis-33548	57	7	we	we	PRON
bracis-33548	57	8	also	also	ADV
bracis-33548	57	9	introduce	introduce	VERB
bracis-33548	57	10	a	a	DET
bracis-33548	57	11	backward	backward	ADJ
bracis-33548	57	12	policy	policy	NOUN
bracis-33548	57	13	\(p_{b	\(p_{b	NOUN
bracis-33548	57	14	}	}	PUNCT
bracis-33548	57	15	:	:	PUNCT
bracis-33548	57	16	s	s	VERB
bracis-33548	57	17	\times	\times	ADP
bracis-33548	57	18	s	s	VERB
bracis-33548	57	19	\rightarrow	\rightarrow	PROPN
bracis-33548	57	20	\mathbb	\mathbb	PROPN
bracis-33548	57	21	{	{	PUNCT
bracis-33548	57	22	r}_{+}\	r}_{+}\	PROPN
bracis-33548	57	23	)	)	PUNCT
bracis-33548	57	24	,	,	PUNCT
bracis-33548	57	25	which	which	PRON
bracis-33548	57	26	is	be	AUX
bracis-33548	57	27	a	a	DET
bracis-33548	57	28	forward	forward	ADJ
bracis-33548	57	29	policy	policy	NOUN
bracis-33548	57	30	over	over	ADP
bracis-33548	57	31	the	the	DET
bracis-33548	57	32	transpose	transpose	NOUN
bracis-33548	57	33	of	of	ADP
bracis-33548	57	34	\(\mathcal	\(\mathcal	ADJ
bracis-33548	57	35	{	{	PUNCT
bracis-33548	57	36	g}\	g}\	NOUN
bracis-33548	57	37	)	)	PUNCT
bracis-33548	57	38	,	,	PUNCT
bracis-33548	57	39	and	and	CCONJ
bracis-33548	57	40	rewrite	rewrite	VERB
bracis-33548	57	41	eq	eq	ADP
bracis-33548	57	42	.	.	PROPN
bracis-33548	57	43	 	 	SPACE
bracis-33548	57	44	(	(	PUNCT
bracis-33548	57	45	1	1	NUM
bracis-33548	57	46	)	)	PUNCT
bracis-33548	57	47	as	as	ADP
bracis-33548	57	48	\(p_{f}(\tau	\(p_{f}(\tau	PROPN
bracis-33548	57	49	)	)	PUNCT
bracis-33548	58	1	\propto	\propto	ADP
bracis-33548	58	2	p_{b}(\tau	p_{b}(\tau	ADV
bracis-33548	58	3	|	|	CCONJ
bracis-33548	58	4	x	x	NOUN
bracis-33548	58	5	)	)	PUNCT
bracis-33548	58	6	r(x)\	r(x)\	NUM
bracis-33548	58	7	)	)	PUNCT
bracis-33548	58	8	.	.	PUNCT
bracis-33548	59	1	malkin	malkin	PROPN
bracis-33548	59	2	et	et	PROPN
bracis-33548	59	3	al	al	PROPN
bracis-33548	59	4	.	.	PUNCT
bracis-33548	60	1	[	[	X
bracis-33548	60	2	14	14	NUM
bracis-33548	60	3	]	]	PUNCT
bracis-33548	60	4	showed	show	VERB
bracis-33548	60	5	that	that	SCONJ
bracis-33548	60	6	such	such	ADJ
bracis-33548	60	7	technique	technique	NOUN
bracis-33548	60	8	induces	induce	VERB
bracis-33548	60	9	a	a	DET
bracis-33548	60	10	well	well	ADV
bracis-33548	60	11	-	-	PUNCT
bracis-33548	60	12	posed	pose	VERB
bracis-33548	60	13	problem	problem	NOUN
bracis-33548	60	14	with	with	ADP
bracis-33548	60	15	a	a	DET
bracis-33548	60	16	unique	unique	ADJ
bracis-33548	60	17	solution	solution	NOUN
bracis-33548	60	18	.	.	PUNCT
bracis-33548	61	1	training	training	NOUN
bracis-33548	61	2	gflownets	gflownet	NOUN
bracis-33548	61	3	.	.	PUNCT
bracis-33548	62	1	to	to	PART
bracis-33548	62	2	find	find	VERB
bracis-33548	62	3	a	a	DET
bracis-33548	62	4	forward	forward	ADJ
bracis-33548	62	5	policy	policy	NOUN
bracis-33548	62	6	abiding	abide	VERB
bracis-33548	62	7	by	by	ADP
bracis-33548	62	8	eq	eq	PROPN
bracis-33548	62	9	.	.	PROPN
bracis-33548	62	10	 	 	SPACE
bracis-33548	62	11	(	(	PUNCT
bracis-33548	62	12	1	1	NUM
bracis-33548	62	13	)	)	PUNCT
bracis-33548	62	14	,	,	PUNCT
bracis-33548	62	15	we	we	PRON
bracis-33548	62	16	parameterize	parameterize	VERB
bracis-33548	62	17	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	62	18	)	)	PUNCT
bracis-33548	62	19	with	with	ADP
bracis-33548	62	20	a	a	DET
bracis-33548	62	21	neural	neural	ADJ
bracis-33548	62	22	network	network	NOUN
bracis-33548	62	23	with	with	ADP
bracis-33548	62	24	parameters	parameter	NOUN
bracis-33548	62	25	\(\theta	\(\theta	NOUN
bracis-33548	62	26	\	\	PROPN
bracis-33548	62	27	)	)	PUNCT
bracis-33548	62	28	and	and	CCONJ
bracis-33548	62	29	fix	fix	VERB
bracis-33548	62	30	\(p_{b}(s	\(p_{b}(s	PROPN
bracis-33548	62	31	,	,	PUNCT
bracis-33548	62	32	\cdot	\cdot	NOUN
bracis-33548	62	33	)	)	PUNCT
bracis-33548	62	34	\	\	NOUN
bracis-33548	62	35	)	)	PUNCT
bracis-33548	62	36	as	as	ADP
bracis-33548	62	37	an	an	DET
bracis-33548	62	38	uniform	uniform	ADJ
bracis-33548	62	39	policy	policy	NOUN
bracis-33548	62	40	for	for	ADP
bracis-33548	62	41	each	each	DET
bracis-33548	62	42	\(s	\(s	ADJ
bracis-33548	62	43	\in	\in	PROPN
bracis-33548	62	44	s\	s\	NOUN
bracis-33548	62	45	)	)	PUNCT
bracis-33548	62	46	.	.	PUNCT
bracis-33548	63	1	then	then	ADV
bracis-33548	63	2	,	,	PUNCT
bracis-33548	63	3	by	by	ADP
bracis-33548	63	4	introducing	introduce	VERB
bracis-33548	63	5	an	an	DET
bracis-33548	63	6	additional	additional	ADJ
bracis-33548	63	7	learnable	learnable	ADJ
bracis-33548	63	8	function	function	NOUN
bracis-33548	63	9	\(f	\(f	X
bracis-33548	63	10	:	:	PUNCT
bracis-33548	63	11	s	s	AUX
bracis-33548	63	12	\rightarrow	\rightarrow	PROPN
bracis-33548	63	13	\mathbb	\mathbb	PROPN
bracis-33548	63	14	{	{	PUNCT
bracis-33548	63	15	r}_{+}\	r}_{+}\	PROPN
bracis-33548	63	16	)	)	PUNCT
bracis-33548	63	17	,	,	PUNCT
bracis-33548	63	18	which	which	PRON
bracis-33548	63	19	is	be	AUX
bracis-33548	63	20	also	also	ADV
bracis-33548	63	21	parameterized	parameterized	ADJ
bracis-33548	63	22	by	by	ADP
bracis-33548	63	23	a	a	DET
bracis-33548	63	24	(	(	PUNCT
bracis-33548	63	25	different	different	ADJ
bracis-33548	63	26	)	)	PUNCT
bracis-33548	63	27	neural	neural	ADJ
bracis-33548	63	28	network	network	NOUN
bracis-33548	63	29	\(\gamma	\(\gamma	X
bracis-33548	63	30	\	\	PROPN
bracis-33548	63	31	)	)	PUNCT
bracis-33548	63	32	,	,	PUNCT
bracis-33548	63	33	we	we	PRON
bracis-33548	63	34	concomitantly	concomitantly	ADV
bracis-33548	63	35	estimate	estimate	VERB
bracis-33548	63	36	\(\theta	\(\theta	NOUN
bracis-33548	63	37	\	\	NOUN
bracis-33548	63	38	)	)	PUNCT
bracis-33548	63	39	and	and	CCONJ
bracis-33548	63	40	\(\gamma	\(\gamma	VERB
bracis-33548	63	41	\	\	NOUN
bracis-33548	63	42	)	)	PUNCT
bracis-33548	63	43	by	by	ADP
bracis-33548	63	44	minimizing	minimize	VERB
bracis-33548	63	45	one	one	NUM
bracis-33548	63	46	of	of	ADP
bracis-33548	63	47	the	the	DET
bracis-33548	63	48	following	following	ADJ
bracis-33548	63	49	objectives	objective	NOUN
bracis-33548	63	50	.	.	PUNCT
bracis-33548	64	1	below	below	ADV
bracis-33548	64	2	,	,	PUNCT
bracis-33548	64	3	\(p_{e}\	\(p_{e}\	PUNCT
bracis-33548	64	4	)	)	PUNCT
bracis-33548	64	5	is	be	AUX
bracis-33548	64	6	an	an	DET
bracis-33548	64	7	exploratory	exploratory	ADJ
bracis-33548	64	8	policy	policy	NOUN
bracis-33548	64	9	,	,	PUNCT
bracis-33548	64	10	i.e.	i.e.	X
bracis-33548	64	11	,	,	PUNCT
bracis-33548	64	12	a	a	DET
bracis-33548	64	13	forward	forward	ADJ
bracis-33548	64	14	policy	policy	NOUN
bracis-33548	64	15	that	that	PRON
bracis-33548	64	16	does	do	AUX
bracis-33548	64	17	not	not	PART
bracis-33548	64	18	depend	depend	VERB
bracis-33548	64	19	on	on	ADP
bracis-33548	64	20	\((\theta	\((\theta	PROPN
bracis-33548	64	21	,	,	PUNCT
bracis-33548	64	22	\gamma	\gamma	PROPN
bracis-33548	64	23	)	)	PUNCT
bracis-33548	64	24	\	\	NOUN
bracis-33548	64	25	)	)	PUNCT
bracis-33548	64	26	and	and	CCONJ
bracis-33548	64	27	has	have	VERB
bracis-33548	64	28	full	full	ADJ
bracis-33548	64	29	support	support	NOUN
bracis-33548	64	30	over	over	ADP
bracis-33548	64	31	the	the	DET
bracis-33548	64	32	space	space	NOUN
bracis-33548	64	33	of	of	ADP
bracis-33548	64	34	trajectories	trajectory	NOUN
bracis-33548	64	35	.	.	PUNCT
bracis-33548	65	1	also	also	ADV
bracis-33548	65	2	,	,	PUNCT
bracis-33548	65	3	we	we	PRON
bracis-33548	65	4	denote	denote	VERB
bracis-33548	65	5	by	by	ADP
bracis-33548	65	6	x	x	PROPN
bracis-33548	65	7	(	(	PUNCT
bracis-33548	65	8	resp	resp	NOUN
bracis-33548	65	9	.	.	PUNCT
bracis-33548	66	1	\(x'\	\(x'\	PROPN
bracis-33548	66	2	)	)	PUNCT
bracis-33548	66	3	)	)	PUNCT
bracis-33548	67	1	the	the	DET
bracis-33548	67	2	state	state	NOUN
bracis-33548	67	3	immediately	immediately	ADV
bracis-33548	67	4	preceding	precede	VERB
bracis-33548	67	5	\(s_{f}\	\(s_{f}\	ADV
bracis-33548	67	6	)	)	PUNCT
bracis-33548	67	7	in	in	ADP
bracis-33548	67	8	a	a	DET
bracis-33548	67	9	trajectory	trajectory	NOUN
bracis-33548	67	10	\(\tau	\(\tau	PUNCT
bracis-33548	67	11	\	\	NOUN
bracis-33548	67	12	)	)	PUNCT
bracis-33548	67	13	(	(	PUNCT
bracis-33548	67	14	resp	resp	NOUN
bracis-33548	67	15	.	.	PUNCT
bracis-33548	67	16	\(\tau	\(\tau	PROPN
bracis-33548	68	1	'	'	PUNCT
bracis-33548	68	2	\	\	PROPN
bracis-33548	68	3	)	)	PUNCT
bracis-33548	68	4	)	)	PUNCT
bracis-33548	68	5	.	.	PUNCT
bracis-33548	69	1	1	1	X
bracis-33548	69	2	.	.	X
bracis-33548	69	3	the	the	DET
bracis-33548	69	4	detailed	detailed	ADJ
bracis-33548	69	5	balance	balance	NOUN
bracis-33548	69	6	(	(	PUNCT
bracis-33548	69	7	db	db	NOUN
bracis-33548	69	8	)	)	PUNCT
bracis-33548	69	9	loss	loss	NOUN
bracis-33548	69	10	[	[	X
bracis-33548	69	11	3	3	NUM
bracis-33548	69	12	]	]	PUNCT
bracis-33548	69	13	corresponds	correspond	VERB
bracis-33548	69	14	to	to	ADP
bracis-33548	69	15	\(\mathcal	\(\mathcal	ADJ
bracis-33548	69	16	{	{	PUNCT
bracis-33548	69	17	l}_{db}(\theta	l}_{db}(\theta	PROPN
bracis-33548	69	18	,	,	PUNCT
bracis-33548	69	19	\gamma	\gamma	PROPN
bracis-33548	69	20	)	)	PUNCT
bracis-33548	70	1	=	=	SYM
bracis-33548	70	2	\	\	ADJ
bracis-33548	70	3	)	)	PUNCT
bracis-33548	70	4	$	$	SYM
bracis-33548	70	5	$	$	SYM
bracis-33548	70	6	\begin{aligned	\begin{aligne	VERB
bracis-33548	70	7	}	}	PUNCT
bracis-33548	70	8	\begin{aligned	\begin{aligne	VERB
bracis-33548	70	9	}	}	PUNCT
bracis-33548	70	10	\mathbb	\mathbb	AUX
bracis-33548	70	11	{	{	PUNCT
bracis-33548	70	12	e}_{\tau	e}_{\tau	VERB
bracis-33548	70	13	\sim	\sim	NOUN
bracis-33548	70	14	p_{e}}\left	p_{e}}\left	PROPN
bracis-33548	70	15	[	[	PUNCT
bracis-33548	70	16	\frac{1}{|\tau	\frac{1}{|\tau	X
bracis-33548	70	17	|}\sum	|}\sum	VERB
bracis-33548	70	18	_	_	PUNCT
bracis-33548	70	19	{	{	PUNCT
bracis-33548	70	20	(	(	PUNCT
bracis-33548	70	21	s_{i	s_{i	NOUN
bracis-33548	70	22	1	1	NUM
bracis-33548	70	23	}	}	PUNCT
bracis-33548	70	24	,	,	PUNCT
bracis-33548	70	25	s_{i	s_{i	NOUN
bracis-33548	70	26	}	}	PUNCT
bracis-33548	70	27	)	)	PUNCT
bracis-33548	70	28	\in	\in	PROPN
bracis-33548	70	29	\tau	\tau	PROPN
bracis-33548	70	30	}	}	PUNCT
bracis-33548	70	31	\left	\left	PROPN
bracis-33548	70	32	(	(	PUNCT
bracis-33548	70	33	\log	\log	PROPN
bracis-33548	70	34	\frac{f_{\gamma	\frac{f_{\gamma	PROPN
bracis-33548	70	35	}	}	PUNCT
bracis-33548	70	36	(	(	PUNCT
bracis-33548	70	37	s_{i	s_{i	NOUN
bracis-33548	70	38	1})p_{f}(s_{i	1})p_{f}(s_{i	NOUN
bracis-33548	70	39	}	}	PUNCT
bracis-33548	70	40	|	|	ADV
bracis-33548	70	41	s_{i	s_{i	VERB
bracis-33548	70	42	1})}{p_{b}(s_{i	1})}{p_{b}(s_{i	NOUN
bracis-33548	70	43	}	}	PUNCT
bracis-33548	70	44	|	|	ADV
bracis-33548	70	45	s_{i	s_{i	NOUN
bracis-33548	70	46	1	1	NUM
bracis-33548	70	47	}	}	PUNCT
bracis-33548	70	48	)	)	PUNCT
bracis-33548	70	49	f_{\gamma	f_{\gamma	ADP
bracis-33548	70	50	}	}	PUNCT
bracis-33548	70	51	(	(	PUNCT
bracis-33548	70	52	s_{i	s_{i	NOUN
bracis-33548	70	53	1})}\right	1})}\right	NUM
bracis-33548	70	54	)	)	PUNCT
bracis-33548	70	55	^{2	^{2	NOUN
bracis-33548	70	56	}	}	PUNCT
bracis-33548	70	57	+	+	CCONJ
bracis-33548	70	58	\left	\left	PROPN
bracis-33548	70	59	(	(	PUNCT
bracis-33548	70	60	\log	\log	PROPN
bracis-33548	70	61	\frac{f_{\gamma	\frac{f_{\gamma	PROPN
bracis-33548	70	62	}	}	PUNCT
bracis-33548	70	63	(	(	PUNCT
bracis-33548	70	64	x)}{r(x	x)}{r(x	PROPN
bracis-33548	70	65	)	)	PUNCT
bracis-33548	70	66	}	}	PUNCT
bracis-33548	70	67	\right	\right	NOUN
bracis-33548	70	68	)	)	PUNCT
bracis-33548	70	69	^{2	^{2	NOUN
bracis-33548	70	70	}	}	PUNCT
bracis-33548	70	71	\right	\right	PROPN
bracis-33548	70	72	]	]	PUNCT
bracis-33548	70	73	\end{aligned	\end{aligne	VERB
bracis-33548	70	74	}	}	PUNCT
bracis-33548	70	75	\end{aligned}$$	\end{aligned}$$	NOUN
bracis-33548	70	76	which	which	PRON
bracis-33548	70	77	enforces	enforce	VERB
bracis-33548	70	78	the	the	DET
bracis-33548	70	79	db	db	PROPN
bracis-33548	70	80	condition	condition	NOUN
bracis-33548	70	81	,	,	PUNCT
bracis-33548	70	82	\(f(s	\(f(s	PROPN
bracis-33548	70	83	)	)	PUNCT
bracis-33548	70	84	p_{f}(s	p_{f}(s	NOUN
bracis-33548	71	1	|	|	ADV
bracis-33548	71	2	s	s	NOUN
bracis-33548	71	3	'	'	PUNCT
bracis-33548	71	4	)	)	PUNCT
bracis-33548	72	1	=	=	PUNCT
bracis-33548	72	2	f(s	f(	NOUN
bracis-33548	72	3	'	'	PART
bracis-33548	72	4	)	)	PUNCT
bracis-33548	72	5	p_{b}(s|s')\	p_{b}(s|s')\	PROPN
bracis-33548	72	6	)	)	PUNCT
bracis-33548	72	7	for	for	ADP
bracis-33548	72	8	\((s	\((s	VERB
bracis-33548	72	9	,	,	PUNCT
bracis-33548	72	10	s	s	NOUN
bracis-33548	72	11	'	'	PUNCT
bracis-33548	72	12	)	)	PUNCT
bracis-33548	72	13	\in	\in	PROPN
bracis-33548	72	14	e\	e\	NOUN
bracis-33548	72	15	)	)	PUNCT
bracis-33548	72	16	and	and	CCONJ
bracis-33548	72	17	\(f(x	\(f(x	NOUN
bracis-33548	72	18	)	)	PUNCT
bracis-33548	72	19	=	=	SYM
bracis-33548	72	20	r(x)\	r(x)\	PROPN
bracis-33548	72	21	)	)	PUNCT
bracis-33548	72	22	for	for	ADP
bracis-33548	72	23	the	the	DET
bracis-33548	72	24	states	state	NOUN
bracis-33548	72	25	\(x	\(x	PROPN
bracis-33548	72	26	\in	\in	PROPN
bracis-33548	72	27	s\	s\	NOUN
bracis-33548	72	28	)	)	PUNCT
bracis-33548	72	29	.	.	PUNCT
bracis-33548	73	1	2	2	X
bracis-33548	73	2	.	.	X
bracis-33548	73	3	the	the	DET
bracis-33548	73	4	trajectory	trajectory	NOUN
bracis-33548	73	5	balance	balance	NOUN
bracis-33548	73	6	(	(	PUNCT
bracis-33548	73	7	tb	tb	NOUN
bracis-33548	73	8	)	)	PUNCT
bracis-33548	73	9	loss	loss	NOUN
bracis-33548	74	1	[	[	X
bracis-33548	74	2	14	14	NUM
bracis-33548	74	3	]	]	PUNCT
bracis-33548	74	4	introduces	introduce	NOUN
bracis-33548	74	5	\(\log	\(\log	VERB
bracis-33548	74	6	z(\gamma	z(\gamma	PROPN
bracis-33548	74	7	)	)	PUNCT
bracis-33548	75	1	=	=	SYM
bracis-33548	75	2	\log	\log	PROPN
bracis-33548	75	3	f_{\gamma	f_{\gamma	NUM
bracis-33548	75	4	}	}	PUNCT
bracis-33548	75	5	(	(	PUNCT
bracis-33548	75	6	s_{o})\	s_{o})\	NOUN
bracis-33548	75	7	)	)	PUNCT
bracis-33548	75	8	as	as	ADP
bracis-33548	75	9	the	the	DET
bracis-33548	75	10	log	log	NOUN
bracis-33548	75	11	-	-	PUNCT
bracis-33548	75	12	partition	partition	NOUN
bracis-33548	75	13	function	function	NOUN
bracis-33548	75	14	of	of	ADP
bracis-33548	75	15	r	r	NOUN
bracis-33548	75	16	and	and	CCONJ
bracis-33548	75	17	is	be	AUX
bracis-33548	75	18	then	then	ADV
bracis-33548	75	19	defined	define	VERB
bracis-33548	75	20	by	by	ADP
bracis-33548	75	21	$	$	SYM
bracis-33548	75	22	$	$	SYM
bracis-33548	75	23	\begin{aligned	\begin{aligne	VERB
bracis-33548	75	24	}	}	PUNCT
bracis-33548	75	25	\mathcal	\mathcal	ADJ
bracis-33548	75	26	{	{	PUNCT
bracis-33548	75	27	l}_{tb}(\theta	l}_{tb}(\theta	NOUN
bracis-33548	75	28	,	,	PUNCT
bracis-33548	75	29	\gamma	\gamma	PROPN
bracis-33548	75	30	)	)	PUNCT
bracis-33548	76	1	=	=	PRON
bracis-33548	76	2	\mathbb	\mathbb	PROPN
bracis-33548	76	3	{	{	PUNCT
bracis-33548	76	4	e}_{\tau	e}_{\tau	VERB
bracis-33548	76	5	\sim	\sim	PROPN
bracis-33548	76	6	p_{e	p_{e	PROPN
bracis-33548	76	7	}	}	PUNCT
bracis-33548	76	8	}	}	PUNCT
bracis-33548	76	9	\left	\left	PROPN
bracis-33548	76	10	[	[	PUNCT
bracis-33548	76	11	\left	\left	PROPN
bracis-33548	76	12	(	(	PUNCT
bracis-33548	76	13	\log	\log	PROPN
bracis-33548	76	14	z(\gamma	z(\gamma	PROPN
bracis-33548	76	15	)	)	PUNCT
bracis-33548	77	1	+	+	CCONJ
bracis-33548	77	2	\log	\log	PROPN
bracis-33548	77	3	p_{f}(\tau	p_{f}(\tau	NUM
bracis-33548	77	4	;	;	PUNCT
bracis-33548	77	5	\theta	\theta	PROPN
bracis-33548	77	6	)	)	PUNCT
bracis-33548	77	7	\log	\log	PROPN
bracis-33548	77	8	p_{b}(\tau	p_{b}(\tau	CCONJ
bracis-33548	77	9	|	|	ADV
bracis-33548	77	10	x	x	NOUN
bracis-33548	77	11	)	)	PUNCT
bracis-33548	77	12	\log	\log	PROPN
bracis-33548	77	13	r(x	r(x	PROPN
bracis-33548	77	14	)	)	PUNCT
bracis-33548	77	15	\right	\right	NOUN
bracis-33548	77	16	)	)	PUNCT
bracis-33548	77	17	^{2	^{2	NOUN
bracis-33548	77	18	}	}	PUNCT
bracis-33548	77	19	\right	\right	NOUN
bracis-33548	77	20	]	]	PUNCT
bracis-33548	77	21	,	,	PUNCT
bracis-33548	77	22	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	77	23	enforcing	enforce	VERB
bracis-33548	77	24	the	the	DET
bracis-33548	77	25	tb	tb	NOUN
bracis-33548	77	26	condition	condition	NOUN
bracis-33548	77	27	\(f(s_{o	\(f(s_{o	NOUN
bracis-33548	77	28	}	}	PUNCT
bracis-33548	77	29	)	)	PUNCT
bracis-33548	77	30	p_{f}(\tau	p_{f}(\tau	AUX
bracis-33548	77	31	)	)	PUNCT
bracis-33548	78	1	=	=	PUNCT
bracis-33548	78	2	p_{b}(\tau	p_{b}(\tau	CCONJ
bracis-33548	78	3	|	|	ADV
bracis-33548	78	4	x	x	NOUN
bracis-33548	78	5	)	)	PUNCT
bracis-33548	78	6	r(x)\	r(x)\	NUM
bracis-33548	78	7	)	)	PUNCT
bracis-33548	78	8	.	.	PUNCT
bracis-33548	79	1	3	3	X
bracis-33548	79	2	.	.	X
bracis-33548	79	3	the	the	DET
bracis-33548	79	4	contrastive	contrastive	ADJ
bracis-33548	79	5	balance	balance	NOUN
bracis-33548	79	6	(	(	PUNCT
bracis-33548	79	7	cb	cb	PROPN
bracis-33548	79	8	)	)	PUNCT
bracis-33548	79	9	loss	loss	NOUN
bracis-33548	79	10	[	[	X
bracis-33548	79	11	23	23	NUM
bracis-33548	79	12	]	]	PUNCT
bracis-33548	79	13	avoids	avoid	VERB
bracis-33548	79	14	parameterizing	parameterize	VERB
bracis-33548	79	15	f	f	X
bracis-33548	79	16	by	by	ADP
bracis-33548	79	17	sampling	sample	VERB
bracis-33548	79	18	a	a	DET
bracis-33548	79	19	pair	pair	NOUN
bracis-33548	79	20	\((\tau	\((\tau	ADV
bracis-33548	79	21	,	,	PUNCT
bracis-33548	79	22	\tau	\tau	PROPN
bracis-33548	79	23	'	'	NUM
bracis-33548	79	24	)	)	PUNCT
bracis-33548	79	25	\	\	NOUN
bracis-33548	79	26	)	)	PUNCT
bracis-33548	79	27	of	of	ADP
bracis-33548	79	28	trajectories	trajectory	NOUN
bracis-33548	79	29	from	from	ADP
bracis-33548	79	30	\(p_{e}\	\(p_{e}\	ADJ
bracis-33548	79	31	)	)	PUNCT
bracis-33548	79	32	,	,	PUNCT
bracis-33548	79	33	being	be	AUX
bracis-33548	79	34	defined	define	VERB
bracis-33548	79	35	by	by	ADP
bracis-33548	79	36	$	$	SYM
bracis-33548	79	37	$	$	SYM
bracis-33548	79	38	\begin{aligned	\begin{aligne	VERB
bracis-33548	79	39	}	}	PUNCT
bracis-33548	79	40	\mathcal	\mathcal	ADJ
bracis-33548	79	41	{	{	PUNCT
bracis-33548	79	42	l}_{cb}(\theta	l}_{cb}(\theta	PROPN
bracis-33548	79	43	)	)	PUNCT
bracis-33548	79	44	=	=	VERB
bracis-33548	79	45	\mathbb	\mathbb	INTJ
bracis-33548	79	46	{	{	PUNCT
bracis-33548	79	47	e}_{(\tau	e}_{(\tau	ADV
bracis-33548	79	48	,	,	PUNCT
bracis-33548	79	49	\tau	\tau	PROPN
bracis-33548	79	50	'	'	PART
bracis-33548	79	51	)	)	PUNCT
bracis-33548	79	52	\sim	\sim	PROPN
bracis-33548	79	53	p_{e	p_{e	PROPN
bracis-33548	79	54	}	}	PUNCT
bracis-33548	79	55	}	}	PUNCT
bracis-33548	79	56	\left	\left	PROPN
bracis-33548	79	57	[	[	PUNCT
bracis-33548	79	58	\left	\left	PROPN
bracis-33548	79	59	(	(	PUNCT
bracis-33548	79	60	\log	\log	PROPN
bracis-33548	79	61	\frac{p_{f}(\tau	\frac{p_{f}(\tau	PROPN
bracis-33548	79	62	)	)	PUNCT
bracis-33548	79	63	}	}	PUNCT
bracis-33548	79	64	{	{	PUNCT
bracis-33548	79	65	p_{b}(\tau	p_{b}(\tau	X
bracis-33548	79	66	|	|	NOUN
bracis-33548	79	67	x	x	NOUN
bracis-33548	79	68	)	)	PUNCT
bracis-33548	79	69	r(x	r(x	PROPN
bracis-33548	79	70	)	)	PUNCT
bracis-33548	79	71	}	}	PUNCT
bracis-33548	79	72	\log	\log	PROPN
bracis-33548	79	73	\frac{p_{f}(\tau	\frac{p_{f}(\tau	PRON
bracis-33548	79	74	'	'	PUNCT
bracis-33548	79	75	)	)	PUNCT
bracis-33548	79	76	}	}	PUNCT
bracis-33548	79	77	{	{	PUNCT
bracis-33548	79	78	p_{b}(\tau	p_{b}(\tau	X
bracis-33548	79	79	'	'	PUNCT
bracis-33548	79	80	|	|	ADV
bracis-33548	79	81	x	x	NOUN
bracis-33548	79	82	'	'	PUNCT
bracis-33548	79	83	)	)	PUNCT
bracis-33548	79	84	r(x	r(x	NOUN
bracis-33548	79	85	'	'	PUNCT
bracis-33548	79	86	)	)	PUNCT
bracis-33548	79	87	}	}	PUNCT
bracis-33548	79	88	\right	\right	NOUN
bracis-33548	79	89	)	)	PUNCT
bracis-33548	79	90	^{2	^{2	NOUN
bracis-33548	79	91	}	}	PUNCT
bracis-33548	79	92	\right	\right	NOUN
bracis-33548	79	93	]	]	PUNCT
bracis-33548	79	94	,	,	PUNCT
bracis-33548	79	95	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	79	96	(	(	PUNCT
bracis-33548	79	97	2	2	NUM
bracis-33548	79	98	)	)	PUNCT
bracis-33548	79	99	and	and	CCONJ
bracis-33548	79	100	ensuring	ensure	VERB
bracis-33548	79	101	the	the	DET
bracis-33548	79	102	cb	cb	PROPN
bracis-33548	79	103	condition	condition	NOUN
bracis-33548	79	104	,	,	PUNCT
bracis-33548	79	105	\(p_{f}(\tau	\(p_{f}(\tau	PROPN
bracis-33548	79	106	)	)	PUNCT
bracis-33548	79	107	p_{b}(\tau	p_{b}(\tau	ADV
bracis-33548	79	108	'	'	PUNCT
bracis-33548	79	109	|x')r(x	|x')r(x	NOUN
bracis-33548	79	110	'	'	PUNCT
bracis-33548	79	111	)	)	PUNCT
bracis-33548	80	1	=	=	SYM
bracis-33548	80	2	r(x	r(x	NOUN
bracis-33548	80	3	)	)	PUNCT
bracis-33548	80	4	p_{f}(\tau	p_{f}(\tau	NOUN
bracis-33548	80	5	'	'	PUNCT
bracis-33548	80	6	)	)	PUNCT
bracis-33548	80	7	p_{b}(\tau	p_{b}(\tau	CCONJ
bracis-33548	80	8	|x)\	|x)\	NUM
bracis-33548	80	9	)	)	PUNCT
bracis-33548	80	10	.	.	PUNCT
bracis-33548	81	1	notably	notably	ADV
bracis-33548	81	2	,	,	PUNCT
bracis-33548	81	3	the	the	DET
bracis-33548	81	4	learning	learning	NOUN
bracis-33548	81	5	of	of	ADP
bracis-33548	81	6	discrete	discrete	ADJ
bracis-33548	81	7	gflownets	gflownet	NOUN
bracis-33548	81	8	is	be	AUX
bracis-33548	81	9	widely	widely	ADV
bracis-33548	81	10	studied	study	VERB
bracis-33548	81	11	,	,	PUNCT
bracis-33548	81	12	and	and	CCONJ
bracis-33548	81	13	many	many	ADJ
bracis-33548	81	14	strategies	strategy	NOUN
bracis-33548	81	15	for	for	ADP
bracis-33548	81	16	enhancing	enhance	VERB
bracis-33548	81	17	training	training	NOUN
bracis-33548	81	18	convergence	convergence	NOUN
bracis-33548	81	19	were	be	AUX
bracis-33548	81	20	proposed	propose	VERB
bracis-33548	82	1	[	[	X
bracis-33548	82	2	3	3	NUM
bracis-33548	82	3	,	,	PUNCT
bracis-33548	82	4	11	11	NUM
bracis-33548	82	5	,	,	PUNCT
bracis-33548	82	6	17	17	NUM
bracis-33548	82	7	,	,	PUNCT
bracis-33548	82	8	18	18	NUM
bracis-33548	82	9	,	,	PUNCT
bracis-33548	82	10	22	22	NUM
bracis-33548	82	11	,	,	PUNCT
bracis-33548	82	12	25	25	NUM
bracis-33548	82	13	,	,	PUNCT
bracis-33548	82	14	28	28	NUM
bracis-33548	82	15	,	,	PUNCT
bracis-33548	82	16	30	30	NUM
bracis-33548	82	17	]	]	PUNCT
bracis-33548	82	18	.	.	PUNCT
bracis-33548	83	1	in	in	ADP
bracis-33548	83	2	this	this	DET
bracis-33548	83	3	work	work	NOUN
bracis-33548	83	4	,	,	PUNCT
bracis-33548	83	5	we	we	PRON
bracis-33548	83	6	focus	focus	VERB
bracis-33548	83	7	on	on	ADP
bracis-33548	83	8	extending	extend	VERB
bracis-33548	83	9	the	the	DET
bracis-33548	83	10	cb	cb	PROPN
bracis-33548	83	11	objective	objective	NOUN
bracis-33548	83	12	to	to	ADP
bracis-33548	83	13	the	the	DET
bracis-33548	83	14	continuous	continuous	ADJ
bracis-33548	83	15	setting	setting	NOUN
bracis-33548	83	16	.	.	PUNCT
bracis-33548	84	1	2.2	2.2	NUM
bracis-33548	84	2	gflownets	gflownet	NOUN
bracis-33548	84	3	in	in	ADP
bracis-33548	84	4	 	 	SPACE
bracis-33548	84	5	continuous	continuous	ADJ
bracis-33548	84	6	spaces	space	NOUN
bracis-33548	84	7	notations	notation	NOUN
bracis-33548	84	8	.	.	PUNCT
bracis-33548	85	1	we	we	PRON
bracis-33548	85	2	let	let	VERB
bracis-33548	85	3	\((\mathcal	\((\mathcal	ADJ
bracis-33548	85	4	{	{	PUNCT
bracis-33548	85	5	x	x	NOUN
bracis-33548	85	6	}	}	PUNCT
bracis-33548	85	7	,	,	PUNCT
bracis-33548	85	8	t_{\mathcal	t_{\mathcal	PUNCT
bracis-33548	85	9	{	{	PUNCT
bracis-33548	85	10	x	x	NOUN
bracis-33548	85	11	}	}	PUNCT
bracis-33548	85	12	}	}	PUNCT
bracis-33548	85	13	,	,	PUNCT
bracis-33548	85	14	\varsigma	\varsigma	PROPN
bracis-33548	85	15	_	_	PUNCT
bracis-33548	85	16	{	{	PUNCT
bracis-33548	85	17	\mathcal	\mathcal	ADJ
bracis-33548	85	18	{	{	PUNCT
bracis-33548	85	19	x	x	NOUN
bracis-33548	85	20	}	}	PUNCT
bracis-33548	85	21	}	}	PUNCT
bracis-33548	85	22	,	,	PUNCT
bracis-33548	85	23	\mu	\mu	PROPN
bracis-33548	85	24	)	)	PUNCT
bracis-33548	85	25	\	\	NOUN
bracis-33548	85	26	)	)	PUNCT
bracis-33548	85	27	be	be	AUX
bracis-33548	85	28	a	a	DET
bracis-33548	85	29	topological	topological	ADJ
bracis-33548	85	30	measurable	measurable	ADJ
bracis-33548	85	31	space	space	NOUN
bracis-33548	85	32	with	with	ADP
bracis-33548	85	33	reference	reference	NOUN
bracis-33548	85	34	measure	measure	NOUN
bracis-33548	85	35	\(\mu	\(\mu	ADP
bracis-33548	85	36	\	\	NOUN
bracis-33548	85	37	)	)	PUNCT
bracis-33548	85	38	,	,	PUNCT
bracis-33548	85	39	topology	topology	NOUN
bracis-33548	85	40	\(t_{\mathcal	\(t_{\mathcal	ADJ
bracis-33548	85	41	{	{	PUNCT
bracis-33548	85	42	x}}\	x}}\	NUM
bracis-33548	85	43	)	)	PUNCT
bracis-33548	85	44	,	,	PUNCT
bracis-33548	85	45	\(\sigma	\(\sigma	NOUN
bracis-33548	85	46	\)-algebra	\)-algebra	NOUN
bracis-33548	85	47	\(\varsigma	\(\varsigma	X
bracis-33548	85	48	_	_	PUNCT
bracis-33548	85	49	{	{	PUNCT
bracis-33548	85	50	\mathcal	\mathcal	ADJ
bracis-33548	85	51	{	{	PUNCT
bracis-33548	85	52	x}}\	x}}\	NOUN
bracis-33548	85	53	)	)	PUNCT
bracis-33548	85	54	,	,	PUNCT
bracis-33548	85	55	and	and	CCONJ
bracis-33548	85	56	underlying	underlying	ADJ
bracis-33548	85	57	space	space	NOUN
bracis-33548	85	58	\(\mathcal	\(\mathcal	ADJ
bracis-33548	85	59	{	{	PUNCT
bracis-33548	85	60	x}\	x}\	PROPN
bracis-33548	85	61	)	)	PUNCT
bracis-33548	85	62	,	,	PUNCT
bracis-33548	85	63	and	and	CCONJ
bracis-33548	85	64	consider	consider	VERB
bracis-33548	85	65	a	a	DET
bracis-33548	85	66	non	non	ADJ
bracis-33548	85	67	-	-	ADJ
bracis-33548	85	68	negative	negative	ADJ
bracis-33548	85	69	function	function	NOUN
bracis-33548	85	70	\(r	\(r	NOUN
bracis-33548	85	71	:	:	PUNCT
bracis-33548	85	72	\mathcal	\mathcal	ADJ
bracis-33548	85	73	{	{	PUNCT
bracis-33548	85	74	x	x	NOUN
bracis-33548	85	75	}	}	PUNCT
bracis-33548	85	76	\rightarrow	\rightarrow	PROPN
bracis-33548	85	77	\mathbb	\mathbb	PROPN
bracis-33548	85	78	{	{	PUNCT
bracis-33548	85	79	r}_{+}\	r}_{+}\	PROPN
bracis-33548	85	80	)	)	PUNCT
bracis-33548	85	81	over	over	ADP
bracis-33548	85	82	\(\mathcal	\(\mathcal	ADJ
bracis-33548	85	83	{	{	PUNCT
bracis-33548	85	84	x}\	x}\	PROPN
bracis-33548	85	85	)	)	PUNCT
bracis-33548	85	86	such	such	ADJ
bracis-33548	85	87	that	that	DET
bracis-33548	85	88	\(\int	\(\int	NOUN
bracis-33548	85	89	_	_	PRON
bracis-33548	85	90	{	{	PUNCT
bracis-33548	85	91	\mathcal	\mathcal	ADJ
bracis-33548	85	92	{	{	PUNCT
bracis-33548	85	93	x	x	NOUN
bracis-33548	85	94	}	}	PUNCT
bracis-33548	85	95	}	}	PUNCT
bracis-33548	85	96	r(x	r(x	PROPN
bracis-33548	85	97	)	)	PUNCT
bracis-33548	85	98	\mu	\mu	PROPN
bracis-33548	85	99	(	(	PUNCT
bracis-33548	85	100	\textrm{d}x	\textrm{d}x	X
bracis-33548	85	101	)	)	PUNCT
bracis-33548	85	102	<	<	X
bracis-33548	85	103	\infty	\infty	PROPN
bracis-33548	85	104	\	\	PROPN
bracis-33548	85	105	)	)	PUNCT
bracis-33548	85	106	.	.	PUNCT
bracis-33548	86	1	in	in	ADP
bracis-33548	86	2	what	what	PRON
bracis-33548	86	3	follows	follow	VERB
bracis-33548	86	4	,	,	PUNCT
bracis-33548	86	5	we	we	PRON
bracis-33548	86	6	will	will	AUX
bracis-33548	86	7	assume	assume	VERB
bracis-33548	86	8	that	that	SCONJ
bracis-33548	86	9	each	each	DET
bracis-33548	86	10	measure	measure	NOUN
bracis-33548	86	11	,	,	PUNCT
bracis-33548	86	12	denoted	denote	VERB
bracis-33548	86	13	by	by	ADP
bracis-33548	86	14	a	a	DET
bracis-33548	86	15	capital	capital	NOUN
bracis-33548	86	16	letter	letter	NOUN
bracis-33548	86	17	,	,	PUNCT
bracis-33548	86	18	has	have	VERB
bracis-33548	86	19	a	a	DET
bracis-33548	86	20	density	density	NOUN
bracis-33548	86	21	relatively	relatively	ADV
bracis-33548	86	22	to	to	ADP
bracis-33548	86	23	the	the	DET
bracis-33548	86	24	reference	reference	NOUN
bracis-33548	86	25	measure	measure	NOUN
bracis-33548	86	26	\(\mu	\(\mu	ADP
bracis-33548	86	27	\	\	NOUN
bracis-33548	86	28	)	)	PUNCT
bracis-33548	86	29	,	,	PUNCT
bracis-33548	86	30	which	which	PRON
bracis-33548	86	31	will	will	AUX
bracis-33548	86	32	be	be	AUX
bracis-33548	86	33	denoted	denote	VERB
bracis-33548	86	34	by	by	ADP
bracis-33548	86	35	the	the	DET
bracis-33548	86	36	corresponding	corresponding	ADJ
bracis-33548	86	37	lowercase	lowercase	NOUN
bracis-33548	86	38	letter	letter	NOUN
bracis-33548	86	39	.	.	PUNCT
bracis-33548	87	1	under	under	ADP
bracis-33548	87	2	these	these	DET
bracis-33548	87	3	conditions	condition	NOUN
bracis-33548	87	4	,	,	PUNCT
bracis-33548	87	5	our	our	PRON
bracis-33548	87	6	objective	objective	NOUN
bracis-33548	87	7	is	be	AUX
bracis-33548	87	8	to	to	PART
bracis-33548	87	9	learn	learn	VERB
bracis-33548	87	10	a	a	DET
bracis-33548	87	11	generative	generative	ADJ
bracis-33548	87	12	process	process	NOUN
bracis-33548	87	13	over	over	ADP
bracis-33548	87	14	\(\mathcal	\(\mathcal	ADJ
bracis-33548	87	15	{	{	PUNCT
bracis-33548	87	16	x}\	x}\	PROPN
bracis-33548	87	17	)	)	PUNCT
bracis-33548	87	18	that	that	PRON
bracis-33548	87	19	samples	sample	VERB
bracis-33548	87	20	each	each	DET
bracis-33548	87	21	measurable	measurable	NOUN
bracis-33548	87	22	subset	subset	VERB
bracis-33548	87	23	a	a	DET
bracis-33548	87	24	proportionally	proportionally	ADV
bracis-33548	87	25	to	to	PART
bracis-33548	87	26	\(\int	\(\int	VERB
bracis-33548	87	27	_	_	PRON
bracis-33548	87	28	{	{	PUNCT
bracis-33548	87	29	a	a	PRON
bracis-33548	87	30	}	}	PUNCT
bracis-33548	87	31	r(x	r(x	PROPN
bracis-33548	87	32	)	)	PUNCT
bracis-33548	87	33	\mu	\mu	PROPN
bracis-33548	87	34	(	(	PUNCT
bracis-33548	87	35	\textrm{d}x)\	\textrm{d}x)\	PROPN
bracis-33548	87	36	)	)	PUNCT
bracis-33548	87	37	,	,	PUNCT
bracis-33548	87	38	and	and	CCONJ
bracis-33548	87	39	we	we	PRON
bracis-33548	87	40	define	define	VERB
bracis-33548	87	41	the	the	DET
bracis-33548	87	42	target	target	NOUN
bracis-33548	87	43	measure	measure	NOUN
bracis-33548	87	44	\(r	\(r	NOUN
bracis-33548	87	45	:	:	PUNCT
bracis-33548	87	46	\varsigma	\varsigma	X
bracis-33548	87	47	_	_	PUNCT
bracis-33548	87	48	{	{	PUNCT
bracis-33548	87	49	\mathcal	\mathcal	ADJ
bracis-33548	87	50	{	{	PUNCT
bracis-33548	87	51	x	x	NOUN
bracis-33548	87	52	}	}	PUNCT
bracis-33548	87	53	}	}	PUNCT
bracis-33548	87	54	\rightarrow	\rightarrow	PROPN
bracis-33548	87	55	\mathbb	\mathbb	PROPN
bracis-33548	87	56	{	{	PUNCT
bracis-33548	87	57	r}_{+}\	r}_{+}\	PROPN
bracis-33548	87	58	)	)	PUNCT
bracis-33548	87	59	as	as	ADP
bracis-33548	87	60	\(r(a	\(r(a	VERB
bracis-33548	87	61	)	)	PUNCT
bracis-33548	87	62	=	=	VERB
bracis-33548	88	1	\int	\int	VERB
bracis-33548	88	2	_	_	PUNCT
bracis-33548	88	3	{	{	PUNCT
bracis-33548	88	4	a	a	PRON
bracis-33548	88	5	}	}	PUNCT
bracis-33548	88	6	r(x	r(x	PROPN
bracis-33548	88	7	)	)	PUNCT
bracis-33548	88	8	\mu	\mu	PROPN
bracis-33548	88	9	(	(	PUNCT
bracis-33548	88	10	\textrm{d}x)\	\textrm{d}x)\	PROPN
bracis-33548	88	11	)	)	PUNCT
bracis-33548	88	12	,	,	PUNCT
bracis-33548	88	13	which	which	PRON
bracis-33548	88	14	is	be	AUX
bracis-33548	88	15	absolutely	absolutely	ADV
bracis-33548	88	16	continuous	continuous	ADJ
bracis-33548	88	17	with	with	ADP
bracis-33548	88	18	respect	respect	NOUN
bracis-33548	88	19	to	to	ADP
bracis-33548	88	20	\(\mu	\(\mu	PROPN
bracis-33548	88	21	\	\	NOUN
bracis-33548	88	22	)	)	PUNCT
bracis-33548	88	23	.	.	PUNCT
bracis-33548	89	1	additionally	additionally	ADV
bracis-33548	89	2	,	,	PUNCT
bracis-33548	89	3	for	for	ADP
bracis-33548	89	4	a	a	DET
bracis-33548	89	5	given	give	VERB
bracis-33548	89	6	set	set	NOUN
bracis-33548	89	7	s	s	PROPN
bracis-33548	89	8	and	and	CCONJ
bracis-33548	89	9	a	a	DET
bracis-33548	89	10	corresponding	corresponding	ADJ
bracis-33548	89	11	\(\sigma	\(\sigma	NOUN
bracis-33548	89	12	\)-algebra	\)-algebra	NOUN
bracis-33548	89	13	\(\varsigma	\(\varsigma	X
bracis-33548	89	14	_	_	PRON
bracis-33548	89	15	{	{	PUNCT
bracis-33548	89	16	s}\	s}\	NUM
bracis-33548	89	17	)	)	PUNCT
bracis-33548	89	18	(	(	PUNCT
bracis-33548	89	19	which	which	PRON
bracis-33548	89	20	will	will	AUX
bracis-33548	89	21	be	be	AUX
bracis-33548	89	22	specified	specify	VERB
bracis-33548	89	23	later	later	ADV
bracis-33548	89	24	)	)	PUNCT
bracis-33548	89	25	,	,	PUNCT
bracis-33548	89	26	we	we	PRON
bracis-33548	89	27	define	define	VERB
bracis-33548	89	28	a	a	DET
bracis-33548	89	29	markov	markov	NOUN
bracis-33548	89	30	kernel	kernel	NOUN
bracis-33548	89	31	on	on	ADP
bracis-33548	89	32	s	s	PRON
bracis-33548	89	33	as	as	ADP
bracis-33548	89	34	a	a	DET
bracis-33548	89	35	function	function	NOUN
bracis-33548	89	36	\(k	\(k	NOUN
bracis-33548	89	37	:	:	PUNCT
bracis-33548	89	38	s	s	VERB
bracis-33548	89	39	\times	\time	NOUN
bracis-33548	89	40	\varsigma	\varsigma	PROPN
bracis-33548	89	41	_	_	PUNCT
bracis-33548	89	42	{	{	PUNCT
bracis-33548	89	43	s	s	X
bracis-33548	89	44	}	}	PUNCT
bracis-33548	89	45	\rightarrow	\rightarrow	PROPN
bracis-33548	89	46	\mathbb	\mathbb	PROPN
bracis-33548	89	47	{	{	PUNCT
bracis-33548	89	48	r}_{+}\	r}_{+}\	PROPN
bracis-33548	89	49	)	)	PUNCT
bracis-33548	89	50	such	such	ADJ
bracis-33548	89	51	that	that	SCONJ
bracis-33548	89	52	\(k(s	\(k(s	PROPN
bracis-33548	89	53	,	,	PUNCT
bracis-33548	89	54	\cdot	\cdot	NOUN
bracis-33548	89	55	)	)	PUNCT
bracis-33548	89	56	\	\	NOUN
bracis-33548	89	57	)	)	PUNCT
bracis-33548	89	58	is	be	AUX
bracis-33548	89	59	a	a	DET
bracis-33548	89	60	measure	measure	NOUN
bracis-33548	89	61	in	in	ADP
bracis-33548	89	62	\((s	\((s	VERB
bracis-33548	89	63	,	,	PUNCT
bracis-33548	89	64	\varsigma	\varsigma	PROPN
bracis-33548	89	65	_	_	PROPN
bracis-33548	89	66	{	{	PUNCT
bracis-33548	89	67	s})\	s})\	X
bracis-33548	89	68	)	)	PUNCT
bracis-33548	89	69	.	.	PUNCT
bracis-33548	90	1	also	also	ADV
bracis-33548	90	2	,	,	PUNCT
bracis-33548	90	3	we	we	PRON
bracis-33548	90	4	denote	denote	VERB
bracis-33548	90	5	by	by	ADP
bracis-33548	90	6	\(s^{\otimes	\(s^{\otime	NOUN
bracis-33548	90	7	n}\	n}\	NUM
bracis-33548	90	8	)	)	PUNCT
bracis-33548	90	9	the	the	DET
bracis-33548	90	10	nth	nth	NOUN
bracis-33548	90	11	-	-	PUNCT
bracis-33548	90	12	order	order	NOUN
bracis-33548	90	13	cartesian	cartesian	ADJ
bracis-33548	90	14	product	product	NOUN
bracis-33548	90	15	of	of	ADP
bracis-33548	90	16	s	s	NOUN
bracis-33548	90	17	and	and	CCONJ
bracis-33548	90	18	by	by	ADP
bracis-33548	90	19	\(\varsigma	\(\varsigma	X
bracis-33548	90	20	_	_	PRON
bracis-33548	90	21	{	{	PUNCT
bracis-33548	90	22	s}^{\otimes	s}^{\otimes	PROPN
bracis-33548	90	23	n}\	n}\	PROPN
bracis-33548	90	24	)	)	PUNCT
bracis-33548	90	25	the	the	DET
bracis-33548	90	26	product	product	NOUN
bracis-33548	90	27	\(\sigma	\(\sigma	NOUN
bracis-33548	90	28	\)-algebra	\)-algebra	ADP
bracis-33548	90	29	of	of	ADP
bracis-33548	90	30	\(\varsigma	\(\varsigma	X
bracis-33548	90	31	_	_	PUNCT
bracis-33548	90	32	{	{	PUNCT
bracis-33548	90	33	s}\	s}\	NUM
bracis-33548	90	34	)	)	PUNCT
bracis-33548	90	35	.	.	PUNCT
bracis-33548	91	1	naturally	naturally	ADV
bracis-33548	91	2	,	,	PUNCT
bracis-33548	91	3	a	a	DET
bracis-33548	91	4	transition	transition	NOUN
bracis-33548	91	5	kernel	kernel	NOUN
bracis-33548	91	6	k	k	PROPN
bracis-33548	91	7	on	on	ADP
bracis-33548	91	8	s	s	PROPN
bracis-33548	91	9	is	be	AUX
bracis-33548	91	10	naturally	naturally	ADV
bracis-33548	91	11	extended	extend	VERB
bracis-33548	91	12	to	to	ADP
bracis-33548	91	13	a	a	DET
bracis-33548	91	14	transition	transition	NOUN
bracis-33548	91	15	kernel	kernel	PROPN
bracis-33548	91	16	\(\kappa	\(\kappa	PROPN
bracis-33548	91	17	^{\otimes	^{\otimes	PUNCT
bracis-33548	91	18	n	n	CCONJ
bracis-33548	91	19	}	}	PUNCT
bracis-33548	91	20	:	:	PUNCT
bracis-33548	91	21	s	s	VERB
bracis-33548	91	22	\times	\times	ADP
bracis-33548	91	23	\varsigma	\varsigma	PROPN
bracis-33548	91	24	_	_	NOUN
bracis-33548	91	25	{	{	PUNCT
bracis-33548	91	26	s}^{\otimes	s}^{\otime	NOUN
bracis-33548	91	27	n	n	CCONJ
bracis-33548	91	28	}	}	PUNCT
bracis-33548	91	29	\rightarrow	\rightarrow	PROPN
bracis-33548	91	30	\mathbb	\mathbb	PROPN
bracis-33548	91	31	{	{	PUNCT
bracis-33548	91	32	r}_{+}\	r}_{+}\	PROPN
bracis-33548	91	33	)	)	PUNCT
bracis-33548	91	34	on	on	ADP
bracis-33548	91	35	\(s^{\otimes	\(s^{\otime	NOUN
bracis-33548	91	36	n}\	n}\	NUM
bracis-33548	91	37	)	)	PUNCT
bracis-33548	91	38	recursively	recursively	ADV
bracis-33548	91	39	via	via	ADP
bracis-33548	91	40	\(\kappa	\(\kappa	PROPN
bracis-33548	91	41	^{\otimes	^{\otimes	PUNCT
bracis-33548	91	42	n}(s	n}(s	PROPN
bracis-33548	91	43	,	,	PUNCT
bracis-33548	91	44	(	(	PUNCT
bracis-33548	91	45	a	a	PRON
bracis-33548	91	46	,	,	PUNCT
bracis-33548	91	47	a_{n	a_{n	PROPN
bracis-33548	91	48	}	}	PUNCT
bracis-33548	91	49	)	)	PUNCT
bracis-33548	91	50	)	)	PUNCT
bracis-33548	92	1	=	=	SYM
bracis-33548	92	2	\kappa	\kappa	NUM
bracis-33548	92	3	^{\otimes	^{\otimes	NUM
bracis-33548	92	4	(	(	PUNCT
bracis-33548	92	5	n	n	PRON
bracis-33548	92	6	1)}(s	1)}(s	NUM
bracis-33548	92	7	,	,	PUNCT
bracis-33548	92	8	a	a	PRON
bracis-33548	92	9	)	)	PUNCT
bracis-33548	92	10	\kappa	\kappa	PROPN
bracis-33548	92	11	(	(	PUNCT
bracis-33548	92	12	s	s	NOUN
bracis-33548	92	13	,	,	PUNCT
bracis-33548	92	14	a_{n})\	a_{n})\	PROPN
bracis-33548	92	15	)	)	PUNCT
bracis-33548	92	16	,	,	PUNCT
bracis-33548	92	17	with	with	ADP
bracis-33548	92	18	\(a	\(a	PROPN
bracis-33548	92	19	\in	\in	PROPN
bracis-33548	92	20	\varsigma	\varsigma	PROPN
bracis-33548	92	21	_	_	NOUN
bracis-33548	92	22	{	{	PUNCT
bracis-33548	92	23	s}^{\otimes	s}^{\otimes	INTJ
bracis-33548	92	24	(	(	PUNCT
bracis-33548	92	25	n	n	ADV
bracis-33548	92	26	1)}\	1)}\	NUM
bracis-33548	92	27	)	)	PUNCT
bracis-33548	92	28	,	,	PUNCT
bracis-33548	92	29	\(a_{n	\(a_{n	NOUN
bracis-33548	92	30	}	}	PUNCT
bracis-33548	92	31	\in	\in	PROPN
bracis-33548	92	32	\varsigma	\varsigma	PROPN
bracis-33548	92	33	_	_	PROPN
bracis-33548	92	34	{	{	PUNCT
bracis-33548	92	35	s}\	s}\	NUM
bracis-33548	92	36	)	)	PUNCT
bracis-33548	92	37	,	,	PUNCT
bracis-33548	92	38	\(s	\(s	VERB
bracis-33548	92	39	\in	\in	ADJ
bracis-33548	92	40	s\	s\	NOUN
bracis-33548	92	41	)	)	PUNCT
bracis-33548	92	42	,	,	PUNCT
bracis-33548	92	43	which	which	PRON
bracis-33548	92	44	exists	exist	VERB
bracis-33548	92	45	uniquely	uniquely	ADV
bracis-33548	92	46	due	due	ADJ
bracis-33548	92	47	to	to	ADP
bracis-33548	92	48	carathéodory	carathéodory	PROPN
bracis-33548	92	49	’s	’s	PART
bracis-33548	92	50	extension	extension	NOUN
bracis-33548	92	51	theorem	theorem	NOUN
bracis-33548	92	52	.	.	PUNCT
bracis-33548	93	1	finally	finally	ADV
bracis-33548	93	2	,	,	PUNCT
bracis-33548	93	3	we	we	PRON
bracis-33548	93	4	denote	denote	VERB
bracis-33548	93	5	by	by	ADP
bracis-33548	93	6	\(s^{\otimes	\(s^{\otime	NOUN
bracis-33548	93	7	\le	\le	PROPN
bracis-33548	93	8	n	n	CCONJ
bracis-33548	93	9	}	}	PUNCT
bracis-33548	93	10	=	=	PUNCT
bracis-33548	93	11	\bigcup	\bigcup	PROPN
bracis-33548	93	12	_	_	NOUN
bracis-33548	93	13	{	{	PUNCT
bracis-33548	93	14	1	1	NUM
bracis-33548	93	15	\le	\le	PROPN
bracis-33548	93	16	i	i	PRON
bracis-33548	93	17	\le	\le	NOUN
bracis-33548	93	18	n	n	CCONJ
bracis-33548	93	19	}	}	PUNCT
bracis-33548	93	20	s^{\otimes	s^{\otime	NOUN
bracis-33548	93	21	i}\	i}\	NUM
bracis-33548	93	22	)	)	PUNCT
bracis-33548	93	23	and	and	CCONJ
bracis-33548	93	24	\(\varsigma	\(\varsigma	X
bracis-33548	93	25	_	_	PUNCT
bracis-33548	93	26	{	{	PUNCT
bracis-33548	93	27	s}^{\otimes	s}^{\otimes	PROPN
bracis-33548	93	28	\le	\le	PROPN
bracis-33548	93	29	n	n	CCONJ
bracis-33548	93	30	}	}	PUNCT
bracis-33548	93	31	=	=	NOUN
bracis-33548	93	32	\sigma	\sigma	PROPN
bracis-33548	93	33	\left	\left	PROPN
bracis-33548	93	34	(	(	PUNCT
bracis-33548	93	35	s^{\otimes	s^{\otime	NOUN
bracis-33548	93	36	\le	\le	PROPN
bracis-33548	93	37	n}\right	n}\right	NOUN
bracis-33548	93	38	)	)	PUNCT
bracis-33548	93	39	\	\	NOUN
bracis-33548	93	40	)	)	PUNCT
bracis-33548	93	41	the	the	DET
bracis-33548	93	42	\(\sigma	\(\sigma	NOUN
bracis-33548	93	43	\)-algebra	\)-algebra	NUM
bracis-33548	93	44	generated	generate	VERB
bracis-33548	93	45	by	by	ADP
bracis-33548	93	46	the	the	DET
bracis-33548	93	47	space	space	NOUN
bracis-33548	93	48	of	of	ADP
bracis-33548	93	49	up	up	ADP
bracis-33548	93	50	-	-	PUNCT
bracis-33548	93	51	to	to	ADP
bracis-33548	93	52	-	-	PUNCT
bracis-33548	93	53	nth	nth	NOUN
bracis-33548	93	54	order	order	NOUN
bracis-33548	93	55	product	product	NOUN
bracis-33548	93	56	\(\sigma	\(\sigma	NOUN
bracis-33548	93	57	\)-algebras	\)-algebras	NUM
bracis-33548	93	58	.	.	PROPN
bracis-33548	93	59	measurable	measurable	ADJ
bracis-33548	93	60	pointed	point	VERB
bracis-33548	93	61	dags	dag	NOUN
bracis-33548	93	62	(	(	PUNCT
bracis-33548	93	63	mp	mp	NOUN
bracis-33548	93	64	-	-	PUNCT
bracis-33548	93	65	dag	dag	PROPN
bracis-33548	93	66	)	)	PUNCT
bracis-33548	93	67	.	.	PUNCT
bracis-33548	94	1	we	we	PRON
bracis-33548	94	2	first	first	ADV
bracis-33548	94	3	present	present	VERB
bracis-33548	94	4	the	the	DET
bracis-33548	94	5	definition	definition	NOUN
bracis-33548	94	6	of	of	ADP
bracis-33548	94	7	an	an	DET
bracis-33548	94	8	mp	mp	PROPN
bracis-33548	94	9	-	-	PUNCT
bracis-33548	94	10	dag	dag	PROPN
bracis-33548	94	11	,	,	PUNCT
bracis-33548	94	12	originally	originally	ADV
bracis-33548	94	13	proposed	propose	VERB
bracis-33548	94	14	by	by	ADP
bracis-33548	94	15	lahlou	lahlou	PROPN
bracis-33548	94	16	et	et	PROPN
bracis-33548	94	17	al	al	PROPN
bracis-33548	94	18	.	.	PUNCT
bracis-33548	95	1	[	[	X
bracis-33548	95	2	13	13	NUM
bracis-33548	95	3	]	]	PUNCT
bracis-33548	95	4	,	,	PUNCT
bracis-33548	95	5	which	which	PRON
bracis-33548	95	6	formally	formally	ADV
bracis-33548	95	7	extends	extend	VERB
bracis-33548	95	8	the	the	DET
bracis-33548	95	9	concept	concept	NOUN
bracis-33548	95	10	of	of	ADP
bracis-33548	95	11	a	a	DET
bracis-33548	95	12	flow	flow	NOUN
bracis-33548	95	13	network	network	NOUN
bracis-33548	95	14	to	to	ADP
bracis-33548	95	15	a	a	DET
bracis-33548	95	16	potentially	potentially	ADV
bracis-33548	95	17	non	non	ADJ
bracis-33548	95	18	-	-	ADJ
bracis-33548	95	19	countable	countable	ADJ
bracis-33548	95	20	state	state	NOUN
bracis-33548	95	21	space	space	NOUN
bracis-33548	95	22	.	.	PUNCT
bracis-33548	96	1	definition	definition	NOUN
bracis-33548	96	2	1	1	NUM
bracis-33548	96	3	(	(	PUNCT
bracis-33548	96	4	mp	mp	NOUN
bracis-33548	96	5	-	-	PUNCT
bracis-33548	96	6	dag	dag	PROPN
bracis-33548	96	7	)	)	PUNCT
bracis-33548	96	8	let	let	VERB
bracis-33548	96	9	\((\bar{s	\((\bar{s	NUM
bracis-33548	96	10	}	}	PUNCT
bracis-33548	96	11	,	,	PUNCT
bracis-33548	96	12	\varsigma	\varsigma	PROPN
bracis-33548	96	13	)	)	PUNCT
bracis-33548	97	1	\	\	NOUN
bracis-33548	97	2	)	)	PUNCT
bracis-33548	97	3	be	be	AUX
bracis-33548	97	4	a	a	DET
bracis-33548	97	5	topological	topological	ADJ
bracis-33548	97	6	space	space	NOUN
bracis-33548	97	7	and	and	CCONJ
bracis-33548	97	8	\(\varsigma	\(\varsigma	X
bracis-33548	97	9	\	\	NOUN
bracis-33548	97	10	)	)	PUNCT
bracis-33548	97	11	be	be	AUX
bracis-33548	97	12	the	the	DET
bracis-33548	97	13	borel	borel	PROPN
bracis-33548	97	14	\(\sigma	\(\sigma	NOUN
bracis-33548	97	15	\)-algebra	\)-algebra	PROPN
bracis-33548	97	16	on	on	ADP
bracis-33548	97	17	\(\mathcal	\(\mathcal	ADJ
bracis-33548	97	18	{	{	PUNCT
bracis-33548	97	19	t}\	t}\	NUM
bracis-33548	97	20	)	)	PUNCT
bracis-33548	97	21	.	.	PUNCT
bracis-33548	98	1	define	define	VERB
bracis-33548	98	2	the	the	DET
bracis-33548	98	3	source	source	NOUN
bracis-33548	98	4	\(s_{o	\(s_{o	NOUN
bracis-33548	98	5	}	}	PUNCT
bracis-33548	98	6	\in	\in	PROPN
bracis-33548	98	7	\bar{s}\	\bar{s}\	NUM
bracis-33548	98	8	)	)	PUNCT
bracis-33548	98	9	and	and	CCONJ
bracis-33548	98	10	sink	sink	VERB
bracis-33548	98	11	\(s_{f	\(s_{f	NUM
bracis-33548	98	12	}	}	PUNCT
bracis-33548	98	13	\in	\in	ADJ
bracis-33548	98	14	\bar{s}\	\bar{s}\	NOUN
bracis-33548	98	15	)	)	PUNCT
bracis-33548	98	16	states	state	NOUN
bracis-33548	98	17	.	.	PUNCT
bracis-33548	99	1	also	also	ADV
bracis-33548	99	2	,	,	PUNCT
bracis-33548	99	3	let	let	VERB
bracis-33548	99	4	\(\kappa	\(\kappa	PRON
bracis-33548	99	5	\	\	PROPN
bracis-33548	99	6	)	)	PUNCT
bracis-33548	99	7	,	,	PUNCT
bracis-33548	99	8	the	the	DET
bracis-33548	99	9	reference	reference	NOUN
bracis-33548	99	10	kernel	kernel	NOUN
bracis-33548	99	11	,	,	PUNCT
bracis-33548	99	12	and	and	CCONJ
bracis-33548	99	13	\(\kappa	\(\kappa	PROPN
bracis-33548	99	14	_	_	PRON
bracis-33548	99	15	{	{	PUNCT
bracis-33548	99	16	b}\	b}\	NOUN
bracis-33548	99	17	)	)	PUNCT
bracis-33548	99	18	,	,	PUNCT
bracis-33548	99	19	the	the	DET
bracis-33548	99	20	backward	backward	ADJ
bracis-33548	99	21	kernel	kernel	NOUN
bracis-33548	99	22	,	,	PUNCT
bracis-33548	99	23	be	be	AUX
bracis-33548	99	24	\(\sigma	\(\sigma	NOUN
bracis-33548	99	25	\)-finite	\)-finite	ADJ
bracis-33548	99	26	and	and	CCONJ
bracis-33548	99	27	continuous	continuous	ADJ
bracis-33548	99	28	markov	markov	NOUN
bracis-33548	99	29	kernels	kernel	NOUN
bracis-33548	99	30	in	in	ADP
bracis-33548	99	31	\((\bar{s	\((\bar{s	PROPN
bracis-33548	99	32	}	}	PUNCT
bracis-33548	99	33	,	,	PUNCT
bracis-33548	99	34	\mathcal	\mathcal	PROPN
bracis-33548	99	35	{	{	PUNCT
bracis-33548	99	36	t})\	t})\	NOUN
bracis-33548	99	37	)	)	PUNCT
bracis-33548	99	38	;	;	PUNCT
bracis-33548	99	39	and	and	CCONJ
bracis-33548	99	40	let	let	VERB
bracis-33548	99	41	\(\mu	\(\mu	PROPN
bracis-33548	99	42	\	\	NOUN
bracis-33548	99	43	)	)	PUNCT
bracis-33548	99	44	be	be	AUX
bracis-33548	99	45	a	a	DET
bracis-33548	99	46	reference	reference	NOUN
bracis-33548	99	47	measure	measure	NOUN
bracis-33548	99	48	on	on	ADP
bracis-33548	99	49	\(\varsigma	\(\varsigma	X
bracis-33548	99	50	\	\	NOUN
bracis-33548	99	51	)	)	PUNCT
bracis-33548	99	52	.	.	PUNCT
bracis-33548	100	1	also	also	ADV
bracis-33548	100	2	,	,	PUNCT
bracis-33548	100	3	let	let	VERB
bracis-33548	100	4	\(s	\(	VERB
bracis-33548	100	5	=	=	PUNCT
bracis-33548	100	6	\bar{s	\bar{s	PROPN
bracis-33548	100	7	}	}	PUNCT
bracis-33548	100	8	\setminus	\setminus	PROPN
bracis-33548	100	9	\{s_{f}\}\	\{s_{f}\}\	NOUN
bracis-33548	100	10	)	)	PUNCT
bracis-33548	100	11	.	.	PUNCT
bracis-33548	101	1	a	a	DET
bracis-33548	101	2	measurable	measurable	ADJ
bracis-33548	101	3	pointed	point	VERB
bracis-33548	101	4	dag	dag	PROPN
bracis-33548	101	5	is	be	AUX
bracis-33548	101	6	a	a	DET
bracis-33548	101	7	tuple	tuple	NOUN
bracis-33548	101	8	\(\mathcal	\(\mathcal	ADJ
bracis-33548	101	9	{	{	PUNCT
bracis-33548	101	10	g	g	NOUN
bracis-33548	101	11	}	}	PUNCT
bracis-33548	101	12	=	=	SYM
bracis-33548	101	13	(	(	PUNCT
bracis-33548	101	14	\bar{s	\bar{s	PROPN
bracis-33548	101	15	}	}	PUNCT
bracis-33548	101	16	,	,	PUNCT
bracis-33548	101	17	\mathcal	\mathcal	PROPN
bracis-33548	101	18	{	{	PUNCT
bracis-33548	101	19	t	t	NOUN
bracis-33548	101	20	}	}	PUNCT
bracis-33548	101	21	,	,	PUNCT
bracis-33548	101	22	\varsigma	\varsigma	PROPN
bracis-33548	101	23	,	,	PUNCT
bracis-33548	101	24	\kappa	\kappa	PROPN
bracis-33548	101	25	,	,	PUNCT
bracis-33548	101	26	\kappa	\kappa	VERB
bracis-33548	101	27	_	_	PUNCT
bracis-33548	101	28	{	{	PUNCT
bracis-33548	101	29	b	b	NOUN
bracis-33548	101	30	}	}	PUNCT
bracis-33548	101	31	,	,	PUNCT
bracis-33548	101	32	\mu	\mu	PROPN
bracis-33548	101	33	)	)	PUNCT
bracis-33548	101	34	\	\	NOUN
bracis-33548	101	35	)	)	PUNCT
bracis-33548	101	36	such	such	ADJ
bracis-33548	101	37	that	that	DET
bracis-33548	101	38	1	1	NUM
bracis-33548	101	39	.	.	PUNCT
bracis-33548	101	40	(	(	PUNCT
bracis-33548	101	41	finality	finality	NOUN
bracis-33548	101	42	)	)	PUNCT
bracis-33548	101	43	\(\kappa	\(\kappa	NOUN
bracis-33548	101	44	(	(	PUNCT
bracis-33548	101	45	s_{f	s_{f	NOUN
bracis-33548	101	46	}	}	PUNCT
bracis-33548	101	47	,	,	PUNCT
bracis-33548	101	48	\cdot	\cdot	NOUN
bracis-33548	101	49	)	)	PUNCT
bracis-33548	102	1	=	=	PUNCT
bracis-33548	103	1	\delta	\delta	PROPN
bracis-33548	103	2	_	_	PUNCT
bracis-33548	103	3	{	{	PUNCT
bracis-33548	103	4	s_{f}}\	s_{f}}\	NOUN
bracis-33548	103	5	)	)	PUNCT
bracis-33548	103	6	and	and	CCONJ
bracis-33548	103	7	if	if	SCONJ
bracis-33548	103	8	\(\kappa	\(\kappa	PROPN
bracis-33548	103	9	(	(	PUNCT
bracis-33548	103	10	s	s	PROPN
bracis-33548	103	11	,	,	PUNCT
bracis-33548	103	12	\{s_{f}\	\{s_{f}\	NOUN
bracis-33548	103	13	}	}	PUNCT
bracis-33548	103	14	)	)	PUNCT
bracis-33548	103	15	>	>	X
bracis-33548	103	16	0\	0\	PROPN
bracis-33548	103	17	)	)	PUNCT
bracis-33548	103	18	for	for	ADP
bracis-33548	103	19	a	a	DET
bracis-33548	103	20	\(s	\(s	ADJ
bracis-33548	103	21	\in	\in	PROPN
bracis-33548	103	22	\bar{s}\	\bar{s}\	NUM
bracis-33548	103	23	)	)	PUNCT
bracis-33548	103	24	,	,	PUNCT
bracis-33548	103	25	\(\kappa	\(\kappa	PROPN
bracis-33548	103	26	(	(	PUNCT
bracis-33548	103	27	s	s	PROPN
bracis-33548	103	28	,	,	PUNCT
bracis-33548	103	29	\{s_{f}\	\{s_{f}\	NOUN
bracis-33548	103	30	}	}	PUNCT
bracis-33548	103	31	)	)	PUNCT
bracis-33548	103	32	=	=	SYM
bracis-33548	103	33	1\	1\	NUM
bracis-33548	103	34	)	)	PUNCT
bracis-33548	103	35	;	;	PUNCT
bracis-33548	103	36	2	2	X
bracis-33548	103	37	.	.	PUNCT
bracis-33548	103	38	(	(	PUNCT
bracis-33548	103	39	reachability	reachability	NOUN
bracis-33548	103	40	)	)	PUNCT
bracis-33548	103	41	\(\forall	\(\forall	ADV
bracis-33548	103	42	b	b	X
bracis-33548	103	43	\in	\in	PROPN
bracis-33548	103	44	\mathcal	\mathcal	PROPN
bracis-33548	103	45	{	{	PUNCT
bracis-33548	103	46	t	t	NOUN
bracis-33548	103	47	}	}	PUNCT
bracis-33548	103	48	\setminus	\setminus	X
bracis-33548	103	49	\{\emptyset	\{\emptyset	VERB
bracis-33548	103	50	\}\	\}\	NOUN
bracis-33548	103	51	)	)	PUNCT
bracis-33548	103	52	,	,	PUNCT
bracis-33548	103	53	\(\exists	\(\exists	PROPN
bracis-33548	103	54	n	n	PRON
bracis-33548	103	55	\ge	\ge	PROPN
bracis-33548	103	56	0\	0\	PROPN
bracis-33548	103	57	)	)	PUNCT
bracis-33548	103	58	with	with	ADP
bracis-33548	103	59	\(\kappa	\(\kappa	PROPN
bracis-33548	103	60	^{\otimes	^{\otime	NOUN
bracis-33548	103	61	n}(s_{o	n}(s_{o	ADV
bracis-33548	103	62	}	}	PUNCT
bracis-33548	103	63	,	,	PUNCT
bracis-33548	103	64	b	b	X
bracis-33548	103	65	)	)	PUNCT
bracis-33548	103	66	>	>	X
bracis-33548	103	67	0\	0\	PROPN
bracis-33548	103	68	)	)	PUNCT
bracis-33548	103	69	;	;	PUNCT
bracis-33548	103	70	3	3	X
bracis-33548	103	71	.	.	PUNCT
bracis-33548	103	72	(	(	PUNCT
bracis-33548	103	73	initialness	initialness	NOUN
bracis-33548	103	74	)	)	PUNCT
bracis-33548	103	75	\(\forall	\(\forall	ADV
bracis-33548	103	76	b	b	X
bracis-33548	103	77	\in	\in	PROPN
bracis-33548	103	78	\varsigma	\varsigma	PROPN
bracis-33548	103	79	\	\	PROPN
bracis-33548	103	80	)	)	PUNCT
bracis-33548	103	81	,	,	PUNCT
bracis-33548	103	82	\(\kappa	\(\kappa	PROPN
bracis-33548	103	83	_	_	PUNCT
bracis-33548	103	84	{	{	PUNCT
bracis-33548	103	85	b}(s_{o	b}(s_{o	NOUN
bracis-33548	103	86	}	}	PUNCT
bracis-33548	103	87	,	,	PUNCT
bracis-33548	103	88	b	b	X
bracis-33548	103	89	)	)	PUNCT
bracis-33548	103	90	=	=	SYM
bracis-33548	103	91	0\	0\	PROPN
bracis-33548	103	92	)	)	PUNCT
bracis-33548	103	93	;	;	PUNCT
bracis-33548	103	94	and	and	CCONJ
bracis-33548	103	95	4	4	X
bracis-33548	103	96	.	.	PUNCT
bracis-33548	103	97	(	(	PUNCT
bracis-33548	103	98	consistency	consistency	NOUN
bracis-33548	103	99	)	)	PUNCT
bracis-33548	103	100	\(\forall	\(\forall	ADV
bracis-33548	103	101	b	b	X
bracis-33548	103	102	\in	\in	PROPN
bracis-33548	103	103	\varsigma	\varsigma	ADP
bracis-33548	103	104	\times	\time	NOUN
bracis-33548	103	105	\varsigma	\varsigma	NUM
bracis-33548	103	106	\	\	NOUN
bracis-33548	103	107	)	)	PUNCT
bracis-33548	103	108	,	,	PUNCT
bracis-33548	103	109	\(\nu	\(\nu	PROPN
bracis-33548	103	110	\otimes	\otimes	ADP
bracis-33548	103	111	\kappa	\kappa	PROPN
bracis-33548	103	112	(	(	PUNCT
bracis-33548	103	113	b	b	NOUN
bracis-33548	103	114	)	)	PUNCT
bracis-33548	103	115	=	=	SYM
bracis-33548	104	1	\nu	\nu	PROPN
bracis-33548	104	2	\otimes	\otimes	NUM
bracis-33548	104	3	\kappa	\kappa	PROPN
bracis-33548	104	4	_	_	PRON
bracis-33548	104	5	{	{	PUNCT
bracis-33548	104	6	b}(b)\	b}(b)\	NOUN
bracis-33548	104	7	)	)	PUNCT
bracis-33548	104	8	.	.	PUNCT
bracis-33548	105	1	also	also	ADV
bracis-33548	105	2	,	,	PUNCT
bracis-33548	105	3	a	a	DET
bracis-33548	105	4	mp	mp	PROPN
bracis-33548	105	5	-	-	PUNCT
bracis-33548	105	6	dag	dag	PROPN
bracis-33548	105	7	is	be	AUX
bracis-33548	105	8	said	say	VERB
bracis-33548	105	9	to	to	PART
bracis-33548	105	10	be	be	AUX
bracis-33548	105	11	finitely	finitely	ADV
bracis-33548	105	12	absorbing	absorbing	ADJ
bracis-33548	105	13	if	if	SCONJ
bracis-33548	105	14	there	there	PRON
bracis-33548	105	15	is	be	VERB
bracis-33548	105	16	a	a	DET
bracis-33548	105	17	\(n	\(n	NOUN
bracis-33548	105	18	\in	\in	PROPN
bracis-33548	105	19	\mathbb	\mathbb	PROPN
bracis-33548	105	20	{	{	PUNCT
bracis-33548	105	21	n}\	n}\	NOUN
bracis-33548	105	22	)	)	PUNCT
bracis-33548	105	23	for	for	ADP
bracis-33548	105	24	which	which	PRON
bracis-33548	105	25	\(\kappa	\(\kappa	PROPN
bracis-33548	105	26	^{\otimes	^{\otime	NOUN
bracis-33548	105	27	n}(s_{o	n}(s_{o	ADV
bracis-33548	105	28	}	}	PUNCT
bracis-33548	105	29	,	,	PUNCT
bracis-33548	105	30	\{s_{f}\	\{s_{f}\	NOUN
bracis-33548	105	31	}	}	PUNCT
bracis-33548	105	32	)	)	PUNCT
bracis-33548	105	33	>	>	X
bracis-33548	105	34	0\	0\	PROPN
bracis-33548	105	35	)	)	PUNCT
bracis-33548	105	36	and	and	CCONJ
bracis-33548	105	37	,	,	PUNCT
bracis-33548	105	38	by	by	ADP
bracis-33548	105	39	the	the	DET
bracis-33548	105	40	finality	finality	NOUN
bracis-33548	105	41	property	property	NOUN
bracis-33548	105	42	,	,	PUNCT
bracis-33548	105	43	\(\kappa	\(\kappa	PROPN
bracis-33548	105	44	^{\otimes	^{\otime	NOUN
bracis-33548	105	45	n}(s_{o	n}(s_{o	ADV
bracis-33548	105	46	}	}	PUNCT
bracis-33548	105	47	,	,	PUNCT
bracis-33548	105	48	\{s_{f}\	\{s_{f}\	NOUN
bracis-33548	105	49	}	}	PUNCT
bracis-33548	105	50	)	)	PUNCT
bracis-33548	106	1	=	=	SYM
bracis-33548	106	2	1\	1\	NUM
bracis-33548	106	3	)	)	PUNCT
bracis-33548	106	4	.	.	PUNCT
bracis-33548	107	1	in	in	ADP
bracis-33548	107	2	other	other	ADJ
bracis-33548	107	3	words	word	NOUN
bracis-33548	107	4	,	,	PUNCT
bracis-33548	107	5	any	any	DET
bracis-33548	107	6	iterative	iterative	ADJ
bracis-33548	107	7	generative	generative	ADJ
bracis-33548	107	8	process	process	NOUN
bracis-33548	107	9	starting	start	VERB
bracis-33548	107	10	at	at	ADP
bracis-33548	107	11	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	107	12	)	)	PUNCT
bracis-33548	107	13	and	and	CCONJ
bracis-33548	107	14	sampling	sample	VERB
bracis-33548	107	15	novel	novel	ADJ
bracis-33548	107	16	states	state	NOUN
bracis-33548	107	17	according	accord	VERB
bracis-33548	107	18	to	to	ADP
bracis-33548	107	19	\(\kappa	\(\kappa	PROPN
bracis-33548	107	20	\	\	NOUN
bracis-33548	107	21	)	)	PUNCT
bracis-33548	107	22	will	will	AUX
bracis-33548	107	23	reach	reach	VERB
bracis-33548	107	24	\(s_{f}\	\(s_{f}\	ADV
bracis-33548	107	25	)	)	PUNCT
bracis-33548	107	26	in	in	ADP
bracis-33548	107	27	at	at	ADP
bracis-33548	107	28	most	most	ADJ
bracis-33548	107	29	n	n	DET
bracis-33548	107	30	steps	step	NOUN
bracis-33548	107	31	.	.	PUNCT
bracis-33548	108	1	we	we	PRON
bracis-33548	108	2	call	call	VERB
bracis-33548	108	3	n	n	ADP
bracis-33548	108	4	the	the	DET
bracis-33548	108	5	maximum	maximum	ADJ
bracis-33548	108	6	trajectory	trajectory	NOUN
bracis-33548	108	7	length	length	NOUN
bracis-33548	108	8	of	of	ADP
bracis-33548	108	9	the	the	DET
bracis-33548	108	10	mp	mp	PROPN
bracis-33548	108	11	-	-	PUNCT
bracis-33548	108	12	dag	dag	PROPN
bracis-33548	108	13	,	,	PUNCT
bracis-33548	108	14	and	and	CCONJ
bracis-33548	108	15	define	define	VERB
bracis-33548	108	16	\(\mathcal	\(\mathcal	ADJ
bracis-33548	108	17	{	{	PUNCT
bracis-33548	108	18	x	x	NOUN
bracis-33548	108	19	}	}	PUNCT
bracis-33548	108	20	=	=	PUNCT
bracis-33548	108	21	\{x	\{x	X
bracis-33548	108	22	\in	\in	PROPN
bracis-33548	108	23	s	s	PART
bracis-33548	108	24	:	:	PUNCT
bracis-33548	108	25	\kappa	\kappa	ADJ
bracis-33548	108	26	(	(	PUNCT
bracis-33548	108	27	x	x	NOUN
bracis-33548	108	28	,	,	PUNCT
bracis-33548	108	29	\{s_{f}\	\{s_{f}\	NOUN
bracis-33548	108	30	}	}	PUNCT
bracis-33548	108	31	)	)	PUNCT
bracis-33548	108	32	>	>	X
bracis-33548	109	1	0\}\	0\}\	NOUN
bracis-33548	109	2	)	)	PUNCT
bracis-33548	109	3	as	as	ADP
bracis-33548	109	4	the	the	DET
bracis-33548	109	5	set	set	NOUN
bracis-33548	109	6	of	of	ADP
bracis-33548	109	7	terminal	terminal	ADJ
bracis-33548	109	8	states	state	NOUN
bracis-33548	109	9	.	.	PUNCT
bracis-33548	110	1	under	under	ADP
bracis-33548	110	2	these	these	DET
bracis-33548	110	3	circumstances	circumstance	NOUN
bracis-33548	110	4	,	,	PUNCT
bracis-33548	110	5	the	the	DET
bracis-33548	110	6	set	set	NOUN
bracis-33548	110	7	\(\{s_{o}\	\(\{s_{o}\	PROPN
bracis-33548	110	8	}	}	PUNCT
bracis-33548	110	9	\times	\times	AUX
bracis-33548	110	10	s^{\otimes	s^{\otime	NOUN
bracis-33548	110	11	\le	\le	PROPN
bracis-33548	110	12	n	n	CCONJ
bracis-33548	110	13	1	1	NUM
bracis-33548	110	14	}	}	PUNCT
bracis-33548	110	15	\times	\times	ADP
bracis-33548	110	16	\{s_{f}\}\	\{s_{f}\}\	NOUN
bracis-33548	110	17	)	)	PUNCT
bracis-33548	110	18	fully	fully	ADV
bracis-33548	110	19	characterizes	characterize	VERB
bracis-33548	110	20	the	the	DET
bracis-33548	110	21	trajectories	trajectory	NOUN
bracis-33548	110	22	starting	start	VERB
bracis-33548	110	23	at	at	ADP
bracis-33548	110	24	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	110	25	)	)	PUNCT
bracis-33548	110	26	,	,	PUNCT
bracis-33548	110	27	and	and	CCONJ
bracis-33548	110	28	we	we	PRON
bracis-33548	110	29	will	will	AUX
bracis-33548	110	30	denote	denote	VERB
bracis-33548	110	31	it	it	PRON
bracis-33548	110	32	by	by	ADP
bracis-33548	110	33	\(\mathbb	\(\mathbb	X
bracis-33548	110	34	{	{	PUNCT
bracis-33548	110	35	t}\	t}\	NUM
bracis-33548	110	36	)	)	PUNCT
bracis-33548	110	37	;	;	PUNCT
bracis-33548	110	38	also	also	ADV
bracis-33548	110	39	,	,	PUNCT
bracis-33548	110	40	we	we	PRON
bracis-33548	110	41	denote	denote	VERB
bracis-33548	110	42	by	by	ADP
bracis-33548	110	43	\(\mathbb	\(\mathbb	X
bracis-33548	110	44	{	{	PUNCT
bracis-33548	110	45	t	t	NOUN
bracis-33548	110	46	}	}	PUNCT
bracis-33548	110	47	'	'	PUNCT
bracis-33548	110	48	=	=	SYM
bracis-33548	110	49	\{s_{o}\	\{s_{o}\	NOUN
bracis-33548	110	50	}	}	PUNCT
bracis-33548	110	51	\times	\time	VERB
bracis-33548	110	52	(	(	PUNCT
bracis-33548	110	53	s	s	X
bracis-33548	110	54	\setminus	\setminus	PROPN
bracis-33548	110	55	\mathcal	\mathcal	PROPN
bracis-33548	110	56	{	{	PUNCT
bracis-33548	110	57	x})^{\otimes	x})^{\otimes	PROPN
bracis-33548	110	58	\le	\le	PROPN
bracis-33548	110	59	n	n	CCONJ
bracis-33548	110	60	1}\	1}\	NUM
bracis-33548	110	61	)	)	PUNCT
bracis-33548	110	62	the	the	DET
bracis-33548	110	63	space	space	NOUN
bracis-33548	110	64	of	of	ADP
bracis-33548	110	65	trajectories	trajectory	NOUN
bracis-33548	110	66	without	without	ADP
bracis-33548	110	67	terminal	terminal	ADJ
bracis-33548	110	68	states	state	NOUN
bracis-33548	110	69	.	.	PUNCT
bracis-33548	111	1	we	we	PRON
bracis-33548	111	2	highlight	highlight	VERB
bracis-33548	111	3	that	that	SCONJ
bracis-33548	111	4	,	,	PUNCT
bracis-33548	111	5	when	when	SCONJ
bracis-33548	111	6	s	s	NOUN
bracis-33548	111	7	is	be	AUX
bracis-33548	111	8	finite	finite	ADJ
bracis-33548	111	9	and	and	CCONJ
bracis-33548	111	10	\(\mu	\(\mu	ADP
bracis-33548	111	11	\	\	NOUN
bracis-33548	111	12	)	)	PUNCT
bracis-33548	111	13	is	be	AUX
bracis-33548	111	14	set	set	VERB
bracis-33548	111	15	as	as	ADP
bracis-33548	111	16	the	the	DET
bracis-33548	111	17	counting	counting	NOUN
bracis-33548	111	18	measure	measure	NOUN
bracis-33548	111	19	in	in	ADP
bracis-33548	111	20	s	s	PROPN
bracis-33548	111	21	,	,	PUNCT
bracis-33548	111	22	then	then	ADV
bracis-33548	111	23	the	the	DET
bracis-33548	111	24	definition	definition	NOUN
bracis-33548	111	25	above	above	ADP
bracis-33548	111	26	recovers	recover	VERB
bracis-33548	111	27	the	the	DET
bracis-33548	111	28	traditional	traditional	ADJ
bracis-33548	111	29	flow	flow	NOUN
bracis-33548	111	30	network	network	NOUN
bracis-33548	111	31	outlined	outline	VERB
bracis-33548	111	32	in	in	ADP
bracis-33548	111	33	sect	sect	NOUN
bracis-33548	111	34	.	.	PUNCT
bracis-33548	111	35	 	 	SPACE
bracis-33548	111	36	2.1	2.1	NUM
bracis-33548	111	37	for	for	ADP
bracis-33548	111	38	the	the	DET
bracis-33548	111	39	discrete	discrete	ADJ
bracis-33548	111	40	setting	setting	NOUN
bracis-33548	111	41	,	,	PUNCT
bracis-33548	111	42	with	with	ADP
bracis-33548	111	43	\(\{\kappa	\(\{\kappa	ADJ
bracis-33548	111	44	(	(	PUNCT
bracis-33548	111	45	s	s	NOUN
bracis-33548	111	46	,	,	PUNCT
bracis-33548	111	47	\{s'\})\}_{(s	\{s'\})\}_{(s	X
bracis-33548	111	48	,	,	PUNCT
bracis-33548	111	49	s	s	NOUN
bracis-33548	111	50	'	'	PUNCT
bracis-33548	111	51	)	)	PUNCT
bracis-33548	111	52	\in	\in	PROPN
bracis-33548	111	53	s	s	NOUN
bracis-33548	111	54	\times	\time	NOUN
bracis-33548	111	55	s}\	s}\	NUM
bracis-33548	111	56	)	)	PUNCT
bracis-33548	111	57	characterizing	characterize	VERB
bracis-33548	111	58	the	the	DET
bracis-33548	111	59	network	network	NOUN
bracis-33548	111	60	’s	’s	PART
bracis-33548	111	61	adjacency	adjacency	NOUN
bracis-33548	111	62	matrix	matrix	NOUN
bracis-33548	111	63	and	and	CCONJ
bracis-33548	111	64	n	n	CCONJ
bracis-33548	111	65	denoting	denote	VERB
bracis-33548	111	66	its	its	PRON
bracis-33548	111	67	(	(	PUNCT
bracis-33548	111	68	directed	directed	ADJ
bracis-33548	111	69	)	)	PUNCT
bracis-33548	111	70	diameter	diameter	NOUN
bracis-33548	111	71	.	.	PUNCT
bracis-33548	112	1	continuous	continuous	ADJ
bracis-33548	112	2	gflownets	gflownet	NOUN
bracis-33548	112	3	.	.	PUNCT
bracis-33548	113	1	similarly	similarly	ADV
bracis-33548	113	2	to	to	ADP
bracis-33548	113	3	its	its	PRON
bracis-33548	113	4	discrete	discrete	ADJ
bracis-33548	113	5	counterpart	counterpart	NOUN
bracis-33548	113	6	,	,	PUNCT
bracis-33548	113	7	we	we	PRON
bracis-33548	113	8	characterize	characterize	VERB
bracis-33548	113	9	a	a	DET
bracis-33548	113	10	continuous	continuous	ADJ
bracis-33548	113	11	gflownet	gflownet	NOUN
bracis-33548	113	12	by	by	ADP
bracis-33548	113	13	a	a	DET
bracis-33548	113	14	mp	mp	PROPN
bracis-33548	113	15	-	-	PUNCT
bracis-33548	113	16	dag	dag	PROPN
bracis-33548	113	17	\(\mathcal	\(\mathcal	ADJ
bracis-33548	113	18	{	{	PUNCT
bracis-33548	113	19	g	g	NOUN
bracis-33548	113	20	}	}	PUNCT
bracis-33548	113	21	=	=	SYM
bracis-33548	113	22	(	(	PUNCT
bracis-33548	113	23	\bar{s	\bar{s	PROPN
bracis-33548	113	24	}	}	PUNCT
bracis-33548	113	25	,	,	PUNCT
bracis-33548	113	26	\mathcal	\mathcal	PROPN
bracis-33548	113	27	{	{	PUNCT
bracis-33548	113	28	t	t	NOUN
bracis-33548	113	29	}	}	PUNCT
bracis-33548	113	30	,	,	PUNCT
bracis-33548	113	31	\varsigma	\varsigma	PROPN
bracis-33548	113	32	,	,	PUNCT
bracis-33548	113	33	\kappa	\kappa	PROPN
bracis-33548	113	34	,	,	PUNCT
bracis-33548	113	35	\kappa	\kappa	VERB
bracis-33548	113	36	_	_	PUNCT
bracis-33548	113	37	{	{	PUNCT
bracis-33548	113	38	b	b	NOUN
bracis-33548	113	39	}	}	PUNCT
bracis-33548	113	40	,	,	PUNCT
bracis-33548	113	41	\mu	\mu	PROPN
bracis-33548	113	42	)	)	PUNCT
bracis-33548	113	43	\	\	PROPN
bracis-33548	113	44	)	)	PUNCT
bracis-33548	113	45	,	,	PUNCT
bracis-33548	113	46	a	a	DET
bracis-33548	113	47	measure	measure	NOUN
bracis-33548	113	48	r	r	NOUN
bracis-33548	113	49	on	on	ADP
bracis-33548	113	50	\(\mathcal	\(\mathcal	ADJ
bracis-33548	113	51	{	{	PUNCT
bracis-33548	113	52	x}\	x}\	PROPN
bracis-33548	113	53	)	)	PUNCT
bracis-33548	113	54	,	,	PUNCT
bracis-33548	113	55	a	a	DET
bracis-33548	113	56	forward	forward	ADJ
bracis-33548	113	57	policy	policy	NOUN
bracis-33548	113	58	\(p_{f	\(p_{f	NOUN
bracis-33548	113	59	}	}	PUNCT
bracis-33548	113	60	:	:	PUNCT
bracis-33548	113	61	\bar{s	\bar{s	PROPN
bracis-33548	113	62	}	}	PUNCT
bracis-33548	113	63	\times	\times	ADP
bracis-33548	113	64	\varsigma	\varsigma	NUM
bracis-33548	113	65	_	_	PRON
bracis-33548	113	66	{	{	PUNCT
bracis-33548	113	67	\bar{s	\bar{s	PROPN
bracis-33548	113	68	}	}	PUNCT
bracis-33548	113	69	}	}	PUNCT
bracis-33548	113	70	\rightarrow	\rightarrow	PROPN
bracis-33548	113	71	\mathbb	\mathbb	PROPN
bracis-33548	113	72	{	{	PUNCT
bracis-33548	113	73	r}_{+}\	r}_{+}\	PROPN
bracis-33548	113	74	)	)	PUNCT
bracis-33548	113	75	,	,	PUNCT
bracis-33548	113	76	defined	define	VERB
bracis-33548	113	77	as	as	ADP
bracis-33548	113	78	a	a	DET
bracis-33548	113	79	markov	markov	NOUN
bracis-33548	113	80	kernel	kernel	NOUN
bracis-33548	113	81	that	that	PRON
bracis-33548	113	82	is	be	AUX
bracis-33548	113	83	absolutely	absolutely	ADV
bracis-33548	113	84	continuous	continuous	ADJ
bracis-33548	113	85	relatively	relatively	ADV
bracis-33548	113	86	to	to	ADP
bracis-33548	113	87	\(\kappa	\(\kappa	PROPN
bracis-33548	113	88	\	\	PROPN
bracis-33548	113	89	)	)	PUNCT
bracis-33548	113	90	,	,	PUNCT
bracis-33548	113	91	and	and	CCONJ
bracis-33548	113	92	a	a	DET
bracis-33548	113	93	backward	backward	ADJ
bracis-33548	113	94	policy	policy	NOUN
bracis-33548	113	95	\(p_{b	\(p_{b	NOUN
bracis-33548	113	96	}	}	PUNCT
bracis-33548	113	97	:	:	PUNCT
bracis-33548	113	98	\bar{s	\bar{s	PROPN
bracis-33548	113	99	}	}	PUNCT
bracis-33548	113	100	\times	\times	ADP
bracis-33548	113	101	\varsigma	\varsigma	NUM
bracis-33548	113	102	_	_	PRON
bracis-33548	113	103	{	{	PUNCT
bracis-33548	113	104	\bar{s	\bar{s	PROPN
bracis-33548	113	105	}	}	PUNCT
bracis-33548	113	106	}	}	PUNCT
bracis-33548	113	107	\rightarrow	\rightarrow	PROPN
bracis-33548	113	108	\mathbb	\mathbb	PROPN
bracis-33548	113	109	{	{	PUNCT
bracis-33548	113	110	r}_{+}\	r}_{+}\	PROPN
bracis-33548	113	111	)	)	PUNCT
bracis-33548	113	112	,	,	PUNCT
bracis-33548	113	113	defined	define	VERB
bracis-33548	113	114	as	as	ADP
bracis-33548	113	115	a	a	DET
bracis-33548	113	116	markov	markov	NOUN
bracis-33548	113	117	kernel	kernel	NOUN
bracis-33548	113	118	absolutely	absolutely	ADV
bracis-33548	113	119	continuous	continuous	ADJ
bracis-33548	113	120	relatively	relatively	ADV
bracis-33548	113	121	to	to	ADP
bracis-33548	113	122	\(\kappa	\(\kappa	VERB
bracis-33548	113	123	_	_	PRON
bracis-33548	113	124	{	{	PUNCT
bracis-33548	113	125	b}\	b}\	NOUN
bracis-33548	113	126	)	)	PUNCT
bracis-33548	113	127	.	.	PUNCT
bracis-33548	114	1	our	our	PRON
bracis-33548	114	2	objective	objective	NOUN
bracis-33548	114	3	is	be	AUX
bracis-33548	114	4	to	to	PART
bracis-33548	114	5	find	find	VERB
bracis-33548	114	6	a	a	DET
bracis-33548	114	7	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	114	8	)	)	PUNCT
bracis-33548	114	9	such	such	ADJ
bracis-33548	114	10	that	that	SCONJ
bracis-33548	114	11	the	the	DET
bracis-33548	114	12	marginal	marginal	ADJ
bracis-33548	114	13	distribution	distribution	NOUN
bracis-33548	114	14	over	over	ADP
bracis-33548	114	15	\(\mathcal	\(\mathcal	ADJ
bracis-33548	114	16	{	{	PUNCT
bracis-33548	114	17	x}\	x}\	PROPN
bracis-33548	114	18	)	)	PUNCT
bracis-33548	114	19	of	of	ADP
bracis-33548	114	20	the	the	DET
bracis-33548	114	21	\(\kappa	\(\kappa	PROPN
bracis-33548	114	22	\)-markov	\)-markov	PROPN
bracis-33548	114	23	chain	chain	NOUN
bracis-33548	114	24	deterministically	deterministically	ADV
bracis-33548	114	25	starting	start	VERB
bracis-33548	114	26	at	at	ADP
bracis-33548	114	27	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	114	28	)	)	PUNCT
bracis-33548	114	29	matches	match	VERB
bracis-33548	114	30	r	r	NOUN
bracis-33548	114	31	,	,	PUNCT
bracis-33548	114	32	that	that	ADV
bracis-33548	114	33	is	is	ADV
bracis-33548	114	34	,	,	PUNCT
bracis-33548	114	35	informally	informally	ADV
bracis-33548	114	36	,	,	PUNCT
bracis-33548	114	37	$	$	SYM
bracis-33548	114	38	$	$	SYM
bracis-33548	114	39	\begin{aligned	\begin{aligne	VERB
bracis-33548	114	40	}	}	PUNCT
bracis-33548	114	41	\int	\int	NOUN
bracis-33548	114	42	_	_	PRON
bracis-33548	114	43	{	{	PUNCT
bracis-33548	114	44	\mathbb	\mathbb	PROPN
bracis-33548	114	45	{	{	PUNCT
bracis-33548	114	46	t	t	NOUN
bracis-33548	114	47	}	}	PUNCT
bracis-33548	114	48	}	}	PUNCT
bracis-33548	114	49	\mathbbm	\mathbbm	X
bracis-33548	114	50	{	{	PUNCT
bracis-33548	114	51	1}_{\{\tau	1}_{\{\tau	INTJ
bracis-33548	114	52	\text	\text	PROPN
bracis-33548	114	53	{	{	PUNCT
bracis-33548	114	54	finishes	finish	VERB
bracis-33548	114	55	at	at	ADP
bracis-33548	114	56	}	}	PUNCT
bracis-33548	114	57	a\	a\	NOUN
bracis-33548	114	58	}	}	PUNCT
bracis-33548	114	59	}	}	PUNCT
bracis-33548	114	60	p_{f}^{\otimes	p_{f}^{\otime	NOUN
bracis-33548	114	61	n}(s_{o	n}(s_{o	ADV
bracis-33548	114	62	}	}	PUNCT
bracis-33548	114	63	,	,	PUNCT
bracis-33548	114	64	\textrm{d}\tau	\textrm{d}\tau	PROPN
bracis-33548	114	65	)	)	PUNCT
bracis-33548	115	1	\propto	\propto	PROPN
bracis-33548	116	1	r(a	r(a	PROPN
bracis-33548	116	2	)	)	PUNCT
bracis-33548	116	3	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	116	4	(	(	PUNCT
bracis-33548	116	5	3	3	NUM
bracis-33548	116	6	)	)	PUNCT
bracis-33548	116	7	for	for	ADP
bracis-33548	116	8	every	every	DET
bracis-33548	116	9	measurable	measurable	NOUN
bracis-33548	116	10	subset	subset	VERB
bracis-33548	116	11	a	a	PRON
bracis-33548	116	12	of	of	ADP
bracis-33548	116	13	\(\mathcal	\(\mathcal	ADJ
bracis-33548	116	14	{	{	PUNCT
bracis-33548	116	15	x}\	x}\	PROPN
bracis-33548	116	16	)	)	PUNCT
bracis-33548	116	17	.	.	PUNCT
bracis-33548	117	1	training	training	NOUN
bracis-33548	117	2	gflownets	gflownet	NOUN
bracis-33548	117	3	.	.	PUNCT
bracis-33548	118	1	to	to	PART
bracis-33548	118	2	achieve	achieve	VERB
bracis-33548	118	3	this	this	DET
bracis-33548	118	4	objective	objective	NOUN
bracis-33548	118	5	,	,	PUNCT
bracis-33548	118	6	we	we	PRON
bracis-33548	118	7	let	let	VERB
bracis-33548	118	8	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	118	9	)	)	PUNCT
bracis-33548	118	10	and	and	CCONJ
bracis-33548	118	11	\(p_{b}\	\(p_{b}\	NOUN
bracis-33548	118	12	)	)	PUNCT
bracis-33548	118	13	be	be	VERB
bracis-33548	118	14	the	the	DET
bracis-33548	118	15	densities	density	NOUN
bracis-33548	118	16	of	of	ADP
bracis-33548	118	17	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	118	18	)	)	PUNCT
bracis-33548	118	19	and	and	CCONJ
bracis-33548	118	20	\(p_{b}\	\(p_{b}\	NOUN
bracis-33548	118	21	)	)	PUNCT
bracis-33548	118	22	relatively	relatively	ADV
bracis-33548	118	23	to	to	ADP
bracis-33548	118	24	\(\kappa	\(\kappa	PROPN
bracis-33548	118	25	\	\	NOUN
bracis-33548	118	26	)	)	PUNCT
bracis-33548	118	27	and	and	CCONJ
bracis-33548	118	28	\(\kappa	\(\kappa	PRON
bracis-33548	118	29	_	_	PRON
bracis-33548	118	30	{	{	PUNCT
bracis-33548	118	31	b}\	b}\	NOUN
bracis-33548	118	32	)	)	PUNCT
bracis-33548	118	33	,	,	PUNCT
bracis-33548	118	34	respectively	respectively	ADV
bracis-33548	118	35	,	,	PUNCT
bracis-33548	118	36	and	and	CCONJ
bracis-33548	118	37	parameterize	parameterize	VERB
bracis-33548	118	38	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	118	39	)	)	PUNCT
bracis-33548	118	40	as	as	ADP
bracis-33548	118	41	a	a	DET
bracis-33548	118	42	neural	neural	ADJ
bracis-33548	118	43	network	network	NOUN
bracis-33548	118	44	\(\theta	\(\theta	NOUN
bracis-33548	118	45	\	\	PROPN
bracis-33548	118	46	)	)	PUNCT
bracis-33548	118	47	.	.	PUNCT
bracis-33548	119	1	to	to	PART
bracis-33548	119	2	avoid	avoid	VERB
bracis-33548	119	3	notational	notational	ADJ
bracis-33548	119	4	overload	overload	NOUN
bracis-33548	119	5	,	,	PUNCT
bracis-33548	119	6	we	we	PRON
bracis-33548	119	7	also	also	ADV
bracis-33548	119	8	denote	denote	VERB
bracis-33548	119	9	by	by	ADP
bracis-33548	119	10	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	119	11	)	)	PUNCT
bracis-33548	119	12	and	and	CCONJ
bracis-33548	119	13	\(p_{b}\	\(p_{b}\	NOUN
bracis-33548	119	14	)	)	PUNCT
bracis-33548	119	15	the	the	DET
bracis-33548	119	16	densities	density	NOUN
bracis-33548	119	17	of	of	ADP
bracis-33548	119	18	\(p_{f}^{\otimes	\(p_{f}^{\otime	NOUN
bracis-33548	119	19	i}\	i}\	NUM
bracis-33548	119	20	)	)	PUNCT
bracis-33548	119	21	and	and	CCONJ
bracis-33548	119	22	\(p_{b}^{\otimes	\(p_{b}^{\otime	NOUN
bracis-33548	119	23	i}\	i}\	NOUN
bracis-33548	119	24	)	)	PUNCT
bracis-33548	119	25	with	with	ADP
bracis-33548	119	26	respect	respect	NOUN
bracis-33548	119	27	to	to	ADP
bracis-33548	119	28	the	the	DET
bracis-33548	119	29	corresponding	correspond	VERB
bracis-33548	119	30	product	product	NOUN
bracis-33548	119	31	kernels	kernel	NOUN
bracis-33548	119	32	.	.	PUNCT
bracis-33548	120	1	analogously	analogously	ADV
bracis-33548	120	2	to	to	ADP
bracis-33548	120	3	the	the	DET
bracis-33548	120	4	discrete	discrete	ADJ
bracis-33548	120	5	gflownets	gflownet	NOUN
bracis-33548	120	6	,	,	PUNCT
bracis-33548	120	7	we	we	PRON
bracis-33548	120	8	define	define	VERB
bracis-33548	120	9	an	an	DET
bracis-33548	120	10	auxiliary	auxiliary	ADJ
bracis-33548	120	11	function	function	NOUN
bracis-33548	120	12	\(u	\(u	NOUN
bracis-33548	120	13	:	:	PUNCT
bracis-33548	120	14	\bar{s	\bar{s	PROPN
bracis-33548	120	15	}	}	PUNCT
bracis-33548	121	1	\rightarrow	\rightarrow	PROPN
bracis-33548	121	2	\mathbb	\mathbb	PROPN
bracis-33548	121	3	{	{	PUNCT
bracis-33548	121	4	r}_{+}\	r}_{+}\	PROPN
bracis-33548	121	5	)	)	PUNCT
bracis-33548	121	6	parameterized	parameterized	ADJ
bracis-33548	121	7	by	by	ADP
bracis-33548	121	8	a	a	DET
bracis-33548	121	9	neural	neural	ADJ
bracis-33548	121	10	network	network	NOUN
bracis-33548	121	11	\(\gamma	\(\gamma	VERB
bracis-33548	121	12	\	\	PROPN
bracis-33548	121	13	)	)	PUNCT
bracis-33548	121	14	.	.	PUNCT
bracis-33548	122	1	additionally	additionally	ADV
bracis-33548	122	2	,	,	PUNCT
bracis-33548	122	3	we	we	PRON
bracis-33548	122	4	introduce	introduce	VERB
bracis-33548	122	5	an	an	DET
bracis-33548	122	6	exploratory	exploratory	ADJ
bracis-33548	122	7	policy	policy	NOUN
bracis-33548	122	8	\(p_{e	\(p_{e	NOUN
bracis-33548	122	9	}	}	PUNCT
bracis-33548	122	10	:	:	PUNCT
bracis-33548	122	11	\bar{s	\bar{s	PROPN
bracis-33548	122	12	}	}	PUNCT
bracis-33548	122	13	\times	\times	ADP
bracis-33548	122	14	\varsigma	\varsigma	NUM
bracis-33548	122	15	_	_	PRON
bracis-33548	122	16	{	{	PUNCT
bracis-33548	122	17	\bar{s	\bar{s	PROPN
bracis-33548	122	18	}	}	PUNCT
bracis-33548	122	19	}	}	PUNCT
bracis-33548	123	1	\rightarrow	\rightarrow	PROPN
bracis-33548	123	2	\mathbb	\mathbb	PROPN
bracis-33548	123	3	{	{	PUNCT
bracis-33548	123	4	r}_{+}\	r}_{+}\	NOUN
bracis-33548	123	5	)	)	PUNCT
bracis-33548	123	6	absolutely	absolutely	ADV
bracis-33548	123	7	continuous	continuous	ADJ
bracis-33548	123	8	with	with	ADP
bracis-33548	123	9	respect	respect	NOUN
bracis-33548	123	10	to	to	ADP
bracis-33548	123	11	the	the	DET
bracis-33548	123	12	forward	forward	ADJ
bracis-33548	123	13	kernel	kernel	PROPN
bracis-33548	123	14	\(\kappa	\(\kappa	PROPN
bracis-33548	123	15	\	\	PROPN
bracis-33548	123	16	)	)	PUNCT
bracis-33548	123	17	.	.	PUNCT
bracis-33548	124	1	under	under	ADP
bracis-33548	124	2	these	these	DET
bracis-33548	124	3	conditions	condition	NOUN
bracis-33548	124	4	,	,	PUNCT
bracis-33548	124	5	lahlou	lahlou	PROPN
bracis-33548	124	6	et	et	PROPN
bracis-33548	124	7	al	al	PROPN
bracis-33548	124	8	.	.	PUNCT
bracis-33548	125	1	[	[	X
bracis-33548	125	2	13	13	NUM
bracis-33548	125	3	]	]	PUNCT
bracis-33548	125	4	showed	show	VERB
bracis-33548	125	5	that	that	SCONJ
bracis-33548	125	6	the	the	DET
bracis-33548	125	7	trajectory	trajectory	NOUN
bracis-33548	125	8	and	and	CCONJ
bracis-33548	125	9	detailed	detailed	ADJ
bracis-33548	125	10	balance	balance	NOUN
bracis-33548	125	11	losses	loss	NOUN
bracis-33548	125	12	of	of	ADP
bracis-33548	125	13	sect	sect	NOUN
bracis-33548	125	14	.	.	PUNCT
bracis-33548	125	15	 	 	SPACE
bracis-33548	126	1	2.1	2.1	NUM
bracis-33548	126	2	are	be	AUX
bracis-33548	126	3	sound	sound	ADJ
bracis-33548	126	4	objectives	objective	NOUN
bracis-33548	126	5	for	for	ADP
bracis-33548	126	6	learning	learn	VERB
bracis-33548	126	7	continuous	continuous	ADJ
bracis-33548	126	8	gflownets	gflownet	NOUN
bracis-33548	126	9	when	when	SCONJ
bracis-33548	126	10	we	we	PRON
bracis-33548	126	11	substitute	substitute	VERB
bracis-33548	126	12	the	the	DET
bracis-33548	126	13	transition	transition	NOUN
bracis-33548	126	14	kernels	kernel	NOUN
bracis-33548	126	15	by	by	ADP
bracis-33548	126	16	the	the	DET
bracis-33548	126	17	corresponding	corresponding	ADJ
bracis-33548	126	18	densities	density	NOUN
bracis-33548	126	19	.	.	PUNCT
bracis-33548	127	1	so	so	ADV
bracis-33548	127	2	,	,	PUNCT
bracis-33548	127	3	for	for	ADP
bracis-33548	127	4	instance	instance	NOUN
bracis-33548	127	5	,	,	PUNCT
bracis-33548	127	6	we	we	PRON
bracis-33548	127	7	let	let	VERB
bracis-33548	127	8	\(z	\(z	ADJ
bracis-33548	127	9	=	=	PRON
bracis-33548	127	10	u_{\gamma	u_{\gamma	X
bracis-33548	127	11	}	}	PUNCT
bracis-33548	127	12	(	(	PUNCT
bracis-33548	127	13	s_{o})\	s_{o})\	NOUN
bracis-33548	127	14	)	)	PUNCT
bracis-33548	127	15	and	and	CCONJ
bracis-33548	127	16	then	then	ADV
bracis-33548	127	17	$	$	SYM
bracis-33548	127	18	$	$	SYM
bracis-33548	127	19	\begin{aligned	\begin{aligne	VERB
bracis-33548	127	20	}	}	PUNCT
bracis-33548	127	21	\mathcal	\mathcal	ADJ
bracis-33548	127	22	{	{	PUNCT
bracis-33548	127	23	l}_{tb}(\theta	l}_{tb}(\theta	NOUN
bracis-33548	127	24	,	,	PUNCT
bracis-33548	127	25	\gamma	\gamma	PROPN
bracis-33548	127	26	)	)	PUNCT
bracis-33548	128	1	=	=	PRON
bracis-33548	128	2	\mathbb	\mathbb	PROPN
bracis-33548	128	3	{	{	PUNCT
bracis-33548	128	4	e}_{\tau	e}_{\tau	VERB
bracis-33548	128	5	\sim	\sim	NOUN
bracis-33548	128	6	p_{e}(s_{o	p_{e}(s_{o	PROPN
bracis-33548	128	7	}	}	PUNCT
bracis-33548	128	8	,	,	PUNCT
bracis-33548	128	9	\cdot	\cdot	NOUN
bracis-33548	128	10	)	)	PUNCT
bracis-33548	128	11	}	}	PUNCT
bracis-33548	128	12	\left	\left	PROPN
bracis-33548	128	13	[	[	PUNCT
bracis-33548	128	14	\left	\left	PROPN
bracis-33548	128	15	(	(	PUNCT
bracis-33548	128	16	\log	\log	PROPN
bracis-33548	128	17	z(\gamma	z(\gamma	PROPN
bracis-33548	128	18	)	)	PUNCT
bracis-33548	129	1	+	+	CCONJ
bracis-33548	129	2	\log	\log	PROPN
bracis-33548	129	3	p_{f}(\tau	p_{f}(\tau	ADV
bracis-33548	129	4	)	)	PUNCT
bracis-33548	129	5	\log	\log	PROPN
bracis-33548	129	6	p_{b}(\tau	p_{b}(\tau	CCONJ
bracis-33548	129	7	|	|	ADV
bracis-33548	129	8	x	x	NOUN
bracis-33548	129	9	)	)	PUNCT
bracis-33548	129	10	\log	\log	PROPN
bracis-33548	129	11	r(x	r(x	PROPN
bracis-33548	129	12	)	)	PUNCT
bracis-33548	129	13	\right	\right	NOUN
bracis-33548	129	14	)	)	PUNCT
bracis-33548	129	15	^{2	^{2	NOUN
bracis-33548	129	16	}	}	PUNCT
bracis-33548	129	17	\right	\right	PROPN
bracis-33548	129	18	]	]	PUNCT
bracis-33548	129	19	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	129	20	(	(	PUNCT
bracis-33548	129	21	4	4	NUM
bracis-33548	129	22	)	)	PUNCT
bracis-33548	129	23	becomes	become	VERB
bracis-33548	129	24	the	the	DET
bracis-33548	129	25	continuous	continuous	ADJ
bracis-33548	129	26	equivalent	equivalent	NOUN
bracis-33548	129	27	of	of	ADP
bracis-33548	129	28	the	the	DET
bracis-33548	129	29	tb	tb	NOUN
bracis-33548	129	30	loss	loss	NOUN
bracis-33548	129	31	.	.	PUNCT
bracis-33548	130	1	remarkably	remarkably	ADV
bracis-33548	130	2	,	,	PUNCT
bracis-33548	130	3	both	both	CCONJ
bracis-33548	130	4	the	the	DET
bracis-33548	130	5	tb	tb	NOUN
bracis-33548	130	6	and	and	CCONJ
bracis-33548	130	7	db	db	PROPN
bracis-33548	130	8	losses	loss	NOUN
bracis-33548	130	9	rely	rely	VERB
bracis-33548	130	10	on	on	ADP
bracis-33548	130	11	the	the	DET
bracis-33548	130	12	estimation	estimation	NOUN
bracis-33548	130	13	of	of	ADP
bracis-33548	130	14	the	the	DET
bracis-33548	130	15	auxiliary	auxiliary	ADJ
bracis-33548	130	16	function	function	NOUN
bracis-33548	130	17	u	u	PROPN
bracis-33548	130	18	,	,	PUNCT
bracis-33548	130	19	which	which	PRON
bracis-33548	130	20	often	often	ADV
bracis-33548	130	21	corresponds	correspond	VERB
bracis-33548	130	22	to	to	ADP
bracis-33548	130	23	a	a	DET
bracis-33548	130	24	high	high	ADV
bracis-33548	130	25	-	-	PUNCT
bracis-33548	130	26	dimensional	dimensional	ADJ
bracis-33548	130	27	integral	integral	ADJ
bracis-33548	130	28	(	(	PUNCT
bracis-33548	130	29	such	such	ADJ
bracis-33548	130	30	as	as	ADP
bracis-33548	130	31	the	the	DET
bracis-33548	130	32	partition	partition	NOUN
bracis-33548	130	33	function	function	NOUN
bracis-33548	130	34	)	)	PUNCT
bracis-33548	130	35	that	that	PRON
bracis-33548	130	36	is	be	AUX
bracis-33548	130	37	difficult	difficult	ADJ
bracis-33548	130	38	to	to	PART
bracis-33548	130	39	compute	compute	VERB
bracis-33548	130	40	and	and	CCONJ
bracis-33548	130	41	has	have	VERB
bracis-33548	130	42	no	no	DET
bracis-33548	130	43	inferential	inferential	ADJ
bracis-33548	130	44	purpose	purpose	NOUN
bracis-33548	130	45	.	.	PUNCT
bracis-33548	131	1	illustration	illustration	NOUN
bracis-33548	131	2	.	.	PUNCT
bracis-33548	132	1	to	to	PART
bracis-33548	132	2	clarify	clarify	VERB
bracis-33548	132	3	the	the	DET
bracis-33548	132	4	above	above	ADJ
bracis-33548	132	5	definitions	definition	NOUN
bracis-33548	132	6	and	and	CCONJ
bracis-33548	132	7	emphasize	emphasize	VERB
bracis-33548	132	8	their	their	PRON
bracis-33548	132	9	versatility	versatility	NOUN
bracis-33548	132	10	,	,	PUNCT
bracis-33548	132	11	we	we	PRON
bracis-33548	132	12	show	show	VERB
bracis-33548	132	13	how	how	SCONJ
bracis-33548	132	14	to	to	PART
bracis-33548	132	15	instantiate	instantiate	VERB
bracis-33548	132	16	a	a	DET
bracis-33548	132	17	continuous	continuous	ADJ
bracis-33548	132	18	gflownet	gflownet	NOUN
bracis-33548	132	19	to	to	PART
bracis-33548	132	20	approximate	approximate	VERB
bracis-33548	132	21	an	an	DET
bracis-33548	132	22	arbitrary	arbitrary	ADJ
bracis-33548	132	23	distribution	distribution	NOUN
bracis-33548	132	24	in	in	ADP
bracis-33548	132	25	an	an	DET
bracis-33548	132	26	euclidean	euclidean	ADJ
bracis-33548	132	27	space	space	NOUN
bracis-33548	132	28	\(\mathbb	\(\mathbb	NOUN
bracis-33548	132	29	{	{	PUNCT
bracis-33548	132	30	r}^{n}\	r}^{n}\	NOUN
bracis-33548	132	31	)	)	PUNCT
bracis-33548	132	32	,	,	PUNCT
bracis-33548	132	33	an	an	DET
bracis-33548	132	34	example	example	NOUN
bracis-33548	132	35	that	that	PRON
bracis-33548	132	36	will	will	AUX
bracis-33548	132	37	be	be	AUX
bracis-33548	132	38	thoroughly	thoroughly	ADV
bracis-33548	132	39	explored	explore	VERB
bracis-33548	132	40	in	in	ADP
bracis-33548	132	41	our	our	PRON
bracis-33548	132	42	experimental	experimental	ADJ
bracis-33548	132	43	campaign	campaign	NOUN
bracis-33548	132	44	in	in	ADP
bracis-33548	132	45	sect	sect	NOUN
bracis-33548	132	46	.	.	PUNCT
bracis-33548	132	47	 	 	SPACE
bracis-33548	133	1	4	4	NUM
bracis-33548	133	2	.	.	X
bracis-33548	134	1	for	for	ADP
bracis-33548	134	2	this	this	DET
bracis-33548	134	3	setting	setting	NOUN
bracis-33548	134	4	,	,	PUNCT
bracis-33548	134	5	we	we	PRON
bracis-33548	134	6	may	may	AUX
bracis-33548	134	7	define	define	VERB
bracis-33548	134	8	\(s	\(	NOUN
bracis-33548	134	9	=	=	PRON
bracis-33548	134	10	\mathbb	\mathbb	PROPN
bracis-33548	134	11	{	{	PUNCT
bracis-33548	134	12	r}^{n}\	r}^{n}\	NOUN
bracis-33548	134	13	)	)	PUNCT
bracis-33548	134	14	and	and	CCONJ
bracis-33548	134	15	\(\mathcal	\(\mathcal	ADJ
bracis-33548	134	16	{	{	PUNCT
bracis-33548	134	17	x	x	NOUN
bracis-33548	134	18	}	}	PUNCT
bracis-33548	134	19	=	=	SYM
bracis-33548	134	20	\{(x	\{(x	NOUN
bracis-33548	134	21	,	,	PUNCT
bracis-33548	134	22	\top	\top	NOUN
bracis-33548	134	23	)	)	PUNCT
bracis-33548	134	24	:x	:x	PUNCT
bracis-33548	134	25	\in	\in	PROPN
bracis-33548	134	26	\mathbb	\mathbb	PROPN
bracis-33548	134	27	{	{	PUNCT
bracis-33548	134	28	r}^{n}\}\	r}^{n}\}\	PROPN
bracis-33548	134	29	)	)	PUNCT
bracis-33548	134	30	,	,	PUNCT
bracis-33548	134	31	with	with	ADP
bracis-33548	134	32	\(\top	\(\top	NOUN
bracis-33548	134	33	\	\	NOUN
bracis-33548	134	34	)	)	PUNCT
bracis-33548	134	35	artificially	artificially	ADV
bracis-33548	134	36	distinguishing	distinguish	VERB
bracis-33548	134	37	the	the	DET
bracis-33548	134	38	elements	element	NOUN
bracis-33548	134	39	of	of	ADP
bracis-33548	134	40	\(\mathcal	\(\mathcal	ADJ
bracis-33548	134	41	{	{	PUNCT
bracis-33548	134	42	x}\	x}\	PROPN
bracis-33548	134	43	)	)	PUNCT
bracis-33548	134	44	from	from	ADP
bracis-33548	134	45	those	those	PRON
bracis-33548	134	46	of	of	ADP
bracis-33548	134	47	s.	s.	PROPN
bracis-33548	134	48	then	then	ADV
bracis-33548	134	49	,	,	PUNCT
bracis-33548	134	50	\(s_{o	\(s_{o	NOUN
bracis-33548	134	51	}	}	PUNCT
bracis-33548	134	52	=	=	SYM
bracis-33548	134	53	\textbf{0}\	\textbf{0}\	NOUN
bracis-33548	134	54	)	)	PUNCT
bracis-33548	134	55	and	and	CCONJ
bracis-33548	134	56	a	a	DET
bracis-33548	134	57	transition	transition	NOUN
bracis-33548	134	58	corresponds	correspond	VERB
bracis-33548	134	59	to	to	ADP
bracis-33548	134	60	\(x^{t	\(x^{t	PROPN
bracis-33548	134	61	+	+	CCONJ
bracis-33548	134	62	1	1	X
bracis-33548	134	63	}	}	PUNCT
bracis-33548	134	64	=	=	SYM
bracis-33548	134	65	x^{t	x^{t	NOUN
bracis-33548	134	66	}	}	PUNCT
bracis-33548	135	1	+	+	CCONJ
bracis-33548	135	2	\alpha	\alpha	ADJ
bracis-33548	135	3	e^{t}\	e^{t}\	NOUN
bracis-33548	135	4	)	)	PUNCT
bracis-33548	135	5	,	,	PUNCT
bracis-33548	135	6	with	with	ADP
bracis-33548	135	7	\(\alpha	\(\alpha	PROPN
bracis-33548	135	8	\sim	\sim	NOUN
bracis-33548	135	9	q_{\theta	q_{\theta	X
bracis-33548	135	10	}	}	PUNCT
bracis-33548	135	11	\	\	NOUN
bracis-33548	135	12	)	)	PUNCT
bracis-33548	135	13	sampled	sample	VERB
bracis-33548	135	14	from	from	ADP
bracis-33548	135	15	an	an	DET
bracis-33548	135	16	appropriate	appropriate	ADJ
bracis-33548	135	17	distribution	distribution	NOUN
bracis-33548	135	18	\(q_{\theta	\(q_{\theta	NOUN
bracis-33548	135	19	}	}	PUNCT
bracis-33548	135	20	\	\	NOUN
bracis-33548	135	21	)	)	PUNCT
bracis-33548	135	22	with	with	ADP
bracis-33548	135	23	parameters	parameter	NOUN
bracis-33548	135	24	estimated	estimate	VERB
bracis-33548	135	25	by	by	ADP
bracis-33548	135	26	a	a	DET
bracis-33548	135	27	neural	neural	ADJ
bracis-33548	135	28	network	network	NOUN
bracis-33548	135	29	that	that	PRON
bracis-33548	135	30	receives	receive	VERB
bracis-33548	135	31	\(x^{t}\	\(x^{t}\	NOUN
bracis-33548	135	32	)	)	PUNCT
bracis-33548	135	33	as	as	ADP
bracis-33548	135	34	input	input	NOUN
bracis-33548	135	35	and	and	CCONJ
bracis-33548	135	36	\(e^{t}\	\(e^{t}\	NOUN
bracis-33548	135	37	)	)	PUNCT
bracis-33548	135	38	denoting	denote	VERB
bracis-33548	135	39	the	the	DET
bracis-33548	135	40	tth	tth	NOUN
bracis-33548	135	41	line	line	NOUN
bracis-33548	135	42	of	of	ADP
bracis-33548	135	43	the	the	DET
bracis-33548	135	44	identity	identity	NOUN
bracis-33548	135	45	matrix	matrix	NOUN
bracis-33548	135	46	.	.	PUNCT
bracis-33548	136	1	critically	critically	ADV
bracis-33548	136	2	,	,	PUNCT
bracis-33548	136	3	this	this	DET
bracis-33548	136	4	iterative	iterative	NOUN
bracis-33548	136	5	generative	generative	ADJ
bracis-33548	136	6	process	process	NOUN
bracis-33548	136	7	induces	induce	VERB
bracis-33548	136	8	a	a	DET
bracis-33548	136	9	finitely	finitely	ADV
bracis-33548	136	10	absorbing	absorb	VERB
bracis-33548	136	11	mp	mp	NOUN
bracis-33548	136	12	-	-	PUNCT
bracis-33548	136	13	dag	dag	PROPN
bracis-33548	136	14	satisfying	satisfy	VERB
bracis-33548	136	15	all	all	DET
bracis-33548	136	16	the	the	DET
bracis-33548	136	17	desired	desire	VERB
bracis-33548	136	18	properties	property	NOUN
bracis-33548	136	19	when	when	SCONJ
bracis-33548	136	20	we	we	PRON
bracis-33548	136	21	define	define	VERB
bracis-33548	136	22	\(\kappa	\(\kappa	PROPN
bracis-33548	136	23	\	\	NOUN
bracis-33548	136	24	)	)	PUNCT
bracis-33548	136	25	to	to	PART
bracis-33548	136	26	satisfy	satisfy	VERB
bracis-33548	136	27	\(\kappa	\(\kappa	PROPN
bracis-33548	136	28	(	(	PUNCT
bracis-33548	136	29	x	x	NOUN
bracis-33548	136	30	,	,	PUNCT
bracis-33548	136	31	\cdot	\cdot	NOUN
bracis-33548	136	32	)	)	PUNCT
bracis-33548	137	1	=	=	PUNCT
bracis-33548	137	2	\delta	\delta	PROPN
bracis-33548	137	3	_	_	PRON
bracis-33548	137	4	{	{	PUNCT
bracis-33548	137	5	s_{f}}(\cdot	s_{f}}(\cdot	ADV
bracis-33548	137	6	)	)	PUNCT
bracis-33548	137	7	\	\	NOUN
bracis-33548	137	8	)	)	PUNCT
bracis-33548	137	9	for	for	ADP
bracis-33548	137	10	every	every	DET
bracis-33548	137	11	\(x	\(x	ADJ
bracis-33548	137	12	\in	\in	PROPN
bracis-33548	137	13	\mathcal	\mathcal	PROPN
bracis-33548	137	14	{	{	PUNCT
bracis-33548	137	15	x}\	x}\	PROPN
bracis-33548	137	16	)	)	PUNCT
bracis-33548	137	17	and	and	CCONJ
bracis-33548	137	18	\(\kappa	\(\kappa	PROPN
bracis-33548	137	19	_	_	X
bracis-33548	137	20	{	{	PUNCT
bracis-33548	137	21	b}(x^{t	b}(x^{t	NOUN
bracis-33548	137	22	}	}	PUNCT
bracis-33548	137	23	,	,	PUNCT
bracis-33548	137	24	\cdot	\cdot	NOUN
bracis-33548	137	25	)	)	PUNCT
bracis-33548	138	1	=	=	PUNCT
bracis-33548	138	2	\delta	\delta	PROPN
bracis-33548	138	3	_	_	PRON
bracis-33548	138	4	{	{	PUNCT
bracis-33548	138	5	x^{t	x^{t	NOUN
bracis-33548	138	6	}	}	PUNCT
bracis-33548	138	7	x_{t}^{t	x_{t}^{t	PROPN
bracis-33548	138	8	}	}	PUNCT
bracis-33548	138	9	e_{t}}(\cdot	e_{t}}(\cdot	ADV
bracis-33548	138	10	)	)	PUNCT
bracis-33548	138	11	\	\	NOUN
bracis-33548	138	12	)	)	PUNCT
bracis-33548	138	13	.	.	PUNCT
bracis-33548	139	1	3	3	NUM
bracis-33548	139	2	a	a	DET
bracis-33548	139	3	contrastive	contrastive	ADJ
bracis-33548	139	4	objective	objective	NOUN
bracis-33548	139	5	we	we	PRON
bracis-33548	139	6	now	now	ADV
bracis-33548	139	7	present	present	VERB
bracis-33548	139	8	our	our	PRON
bracis-33548	139	9	main	main	ADJ
bracis-33548	139	10	theoretical	theoretical	ADJ
bracis-33548	139	11	results	result	NOUN
bracis-33548	139	12	regarding	regard	VERB
bracis-33548	139	13	the	the	DET
bracis-33548	139	14	soundness	soundness	NOUN
bracis-33548	139	15	of	of	ADP
bracis-33548	139	16	the	the	DET
bracis-33548	139	17	contrastive	contrastive	ADJ
bracis-33548	139	18	balance	balance	NOUN
bracis-33548	139	19	objective	objective	NOUN
bracis-33548	139	20	for	for	ADP
bracis-33548	139	21	training	training	NOUN
bracis-33548	139	22	gflownets	gflownet	NOUN
bracis-33548	139	23	in	in	ADP
bracis-33548	139	24	a	a	DET
bracis-33548	139	25	non	non	ADJ
bracis-33548	139	26	-	-	ADJ
bracis-33548	139	27	countable	countable	ADJ
bracis-33548	139	28	state	state	NOUN
bracis-33548	139	29	space	space	NOUN
bracis-33548	139	30	.	.	PUNCT
bracis-33548	140	1	firstly	firstly	ADV
bracis-33548	140	2	,	,	PUNCT
bracis-33548	140	3	sect	sect	NOUN
bracis-33548	140	4	.	.	PUNCT
bracis-33548	140	5	 	 	SPACE
bracis-33548	141	1	3.1	3.1	NUM
bracis-33548	141	2	defines	define	VERB
bracis-33548	141	3	the	the	DET
bracis-33548	141	4	cb	cb	PROPN
bracis-33548	141	5	condition	condition	NOUN
bracis-33548	141	6	as	as	ADP
bracis-33548	141	7	a	a	DET
bracis-33548	141	8	provably	provably	ADV
bracis-33548	141	9	sufficient	sufficient	ADJ
bracis-33548	141	10	requirement	requirement	NOUN
bracis-33548	141	11	for	for	ADP
bracis-33548	141	12	ensuring	ensure	VERB
bracis-33548	141	13	the	the	DET
bracis-33548	141	14	sampling	sample	VERB
bracis-33548	141	15	correctness	correctness	NOUN
bracis-33548	141	16	of	of	ADP
bracis-33548	141	17	gflownets	gflownet	NOUN
bracis-33548	141	18	.	.	PUNCT
bracis-33548	142	1	secondly	secondly	ADV
bracis-33548	142	2	,	,	PUNCT
bracis-33548	142	3	sect	sect	NOUN
bracis-33548	142	4	.	.	PUNCT
bracis-33548	142	5	 	 	SPACE
bracis-33548	142	6	3.2	3.2	NUM
bracis-33548	142	7	derives	derive	VERB
bracis-33548	142	8	the	the	DET
bracis-33548	142	9	contrastive	contrastive	ADJ
bracis-33548	142	10	continuous	continuous	ADJ
bracis-33548	142	11	loss	loss	NOUN
bracis-33548	142	12	(	(	PUNCT
bracis-33548	142	13	ccl	ccl	PROPN
bracis-33548	142	14	)	)	PUNCT
bracis-33548	142	15	as	as	ADP
bracis-33548	142	16	a	a	DET
bracis-33548	142	17	realization	realization	NOUN
bracis-33548	142	18	of	of	ADP
bracis-33548	142	19	the	the	DET
bracis-33548	142	20	cb	cb	PROPN
bracis-33548	142	21	condition	condition	NOUN
bracis-33548	142	22	that	that	SCONJ
bracis-33548	142	23	,	,	PUNCT
bracis-33548	142	24	when	when	SCONJ
bracis-33548	142	25	minimized	minimize	VERB
bracis-33548	142	26	,	,	PUNCT
bracis-33548	142	27	ensures	ensure	VERB
bracis-33548	142	28	that	that	SCONJ
bracis-33548	142	29	the	the	DET
bracis-33548	142	30	resulting	result	VERB
bracis-33548	142	31	model	model	NOUN
bracis-33548	142	32	is	be	AUX
bracis-33548	142	33	correct	correct	ADJ
bracis-33548	142	34	almost	almost	ADV
bracis-33548	142	35	everywhere	everywhere	ADV
bracis-33548	142	36	.	.	PUNCT
bracis-33548	143	1	finally	finally	ADV
bracis-33548	143	2	,	,	PUNCT
bracis-33548	143	3	we	we	PRON
bracis-33548	143	4	analyze	analyze	VERB
bracis-33548	143	5	the	the	DET
bracis-33548	143	6	connection	connection	NOUN
bracis-33548	143	7	between	between	ADP
bracis-33548	143	8	the	the	DET
bracis-33548	143	9	ccl	ccl	PROPN
bracis-33548	143	10	and	and	CCONJ
bracis-33548	143	11	the	the	DET
bracis-33548	143	12	popular	popular	ADJ
bracis-33548	143	13	variance	variance	NOUN
bracis-33548	143	14	loss	loss	NOUN
bracis-33548	143	15	[	[	X
bracis-33548	143	16	20	20	NUM
bracis-33548	143	17	]	]	PUNCT
bracis-33548	143	18	for	for	ADP
bracis-33548	143	19	carrying	carry	VERB
bracis-33548	143	20	out	out	ADP
bracis-33548	143	21	generic	generic	PROPN
bracis-33548	143	22	vi	vi	PROPN
bracis-33548	143	23	.	.	PROPN
bracis-33548	143	24	3.1	3.1	NUM
bracis-33548	143	25	contrastive	contrastive	ADJ
bracis-33548	143	26	balance	balance	NOUN
bracis-33548	143	27	contrastive	contrastive	ADJ
bracis-33548	143	28	balance	balance	NOUN
bracis-33548	143	29	.	.	PUNCT
bracis-33548	144	1	to	to	PART
bracis-33548	144	2	get	get	VERB
bracis-33548	144	3	a	a	DET
bracis-33548	144	4	finer	fine	ADJ
bracis-33548	144	5	understanding	understanding	NOUN
bracis-33548	144	6	of	of	ADP
bracis-33548	144	7	the	the	DET
bracis-33548	144	8	contrastive	contrastive	ADJ
bracis-33548	144	9	balance	balance	NOUN
bracis-33548	144	10	condition	condition	NOUN
bracis-33548	144	11	,	,	PUNCT
bracis-33548	144	12	we	we	PRON
bracis-33548	144	13	first	first	ADV
bracis-33548	144	14	remark	remark	VERB
bracis-33548	144	15	that	that	SCONJ
bracis-33548	144	16	the	the	DET
bracis-33548	144	17	tb	tb	NOUN
bracis-33548	144	18	condition	condition	NOUN
bracis-33548	144	19	may	may	AUX
bracis-33548	144	20	be	be	AUX
bracis-33548	144	21	equivalently	equivalently	ADV
bracis-33548	144	22	stated	state	VERB
bracis-33548	144	23	as	as	ADP
bracis-33548	144	24	$	$	SYM
bracis-33548	144	25	$	$	SYM
bracis-33548	144	26	\begin{aligned	\begin{aligne	VERB
bracis-33548	144	27	}	}	PUNCT
bracis-33548	144	28	\text	\text	ADJ
bracis-33548	144	29	{	{	PUNCT
bracis-33548	144	30	var}\left	var}\left	PROPN
bracis-33548	144	31	[	[	PUNCT
bracis-33548	144	32	\frac{p_{f}(\tau	\frac{p_{f}(\tau	PROPN
bracis-33548	144	33	)	)	PUNCT
bracis-33548	144	34	}	}	PUNCT
bracis-33548	144	35	{	{	PUNCT
bracis-33548	144	36	p_{b}(\tau	p_{b}(\tau	X
bracis-33548	144	37	|	|	NOUN
bracis-33548	144	38	x	x	NOUN
bracis-33548	144	39	)	)	PUNCT
bracis-33548	144	40	r(x	r(x	PROPN
bracis-33548	144	41	)	)	PUNCT
bracis-33548	144	42	}	}	PUNCT
bracis-33548	145	1	\right	\right	ADP
bracis-33548	145	2	]	]	X
bracis-33548	145	3	=	=	SYM
bracis-33548	145	4	0	0	NUM
bracis-33548	145	5	,	,	PUNCT
bracis-33548	145	6	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	145	7	(	(	PUNCT
bracis-33548	145	8	5	5	NUM
bracis-33548	145	9	)	)	PUNCT
bracis-33548	145	10	i.e.	i.e.	X
bracis-33548	145	11	,	,	PUNCT
bracis-33548	145	12	the	the	DET
bracis-33548	145	13	quotient	quotient	NOUN
bracis-33548	145	14	\(\beta	\(\beta	X
bracis-33548	145	15	(	(	PUNCT
bracis-33548	145	16	\tau	\tau	PROPN
bracis-33548	145	17	)	)	PUNCT
bracis-33548	145	18	=	=	PUNCT
bracis-33548	145	19	\nicefrac	\nicefrac	PROPN
bracis-33548	145	20	{	{	PUNCT
bracis-33548	145	21	p_{f}(\tau	p_{f}(\tau	NOUN
bracis-33548	145	22	)	)	PUNCT
bracis-33548	145	23	}	}	PUNCT
bracis-33548	145	24	{	{	PUNCT
bracis-33548	145	25	p_{b}(\tau	p_{b}(\tau	X
bracis-33548	145	26	|	|	NOUN
bracis-33548	145	27	x	x	X
bracis-33548	145	28	)	)	PUNCT
bracis-33548	145	29	r(x)}\	r(x)}\	PROPN
bracis-33548	145	30	)	)	PUNCT
bracis-33548	145	31	is	be	AUX
bracis-33548	145	32	constant	constant	ADJ
bracis-33548	145	33	as	as	ADP
bracis-33548	145	34	a	a	DET
bracis-33548	145	35	function	function	NOUN
bracis-33548	145	36	of	of	ADP
bracis-33548	145	37	\(\tau	\(\tau	NOUN
bracis-33548	145	38	\	\	NUM
bracis-33548	145	39	)	)	PUNCT
bracis-33548	145	40	.	.	PUNCT
bracis-33548	146	1	thus	thus	ADV
bracis-33548	146	2	,	,	PUNCT
bracis-33548	146	3	if	if	SCONJ
bracis-33548	146	4	\(\beta	\(\beta	X
bracis-33548	146	5	(	(	PUNCT
bracis-33548	146	6	\tau	\tau	PROPN
bracis-33548	146	7	)	)	PUNCT
bracis-33548	146	8	=	=	SYM
bracis-33548	146	9	\beta	\beta	PROPN
bracis-33548	146	10	(	(	PUNCT
bracis-33548	146	11	\tau	\tau	PROPN
bracis-33548	146	12	'	'	NUM
bracis-33548	146	13	)	)	PUNCT
bracis-33548	146	14	\	\	NOUN
bracis-33548	146	15	)	)	PUNCT
bracis-33548	146	16	for	for	ADP
bracis-33548	146	17	any	any	DET
bracis-33548	146	18	pair	pair	NOUN
bracis-33548	146	19	of	of	ADP
bracis-33548	146	20	trajectories	trajectory	NOUN
bracis-33548	146	21	\((\tau	\((\tau	ADV
bracis-33548	146	22	,	,	PUNCT
bracis-33548	146	23	\tau	\tau	PROPN
bracis-33548	146	24	'	'	NUM
bracis-33548	146	25	)	)	PUNCT
bracis-33548	146	26	\	\	PROPN
bracis-33548	146	27	)	)	PUNCT
bracis-33548	146	28	,	,	PUNCT
bracis-33548	146	29	the	the	DET
bracis-33548	146	30	tb	tb	NOUN
bracis-33548	146	31	condition	condition	NOUN
bracis-33548	146	32	must	must	AUX
bracis-33548	146	33	be	be	AUX
bracis-33548	146	34	satisfied	satisfied	ADJ
bracis-33548	146	35	and	and	CCONJ
bracis-33548	146	36	the	the	DET
bracis-33548	146	37	gflownet	gflownet	NOUN
bracis-33548	146	38	should	should	AUX
bracis-33548	146	39	sample	sample	VERB
bracis-33548	146	40	correctly	correctly	ADV
bracis-33548	146	41	from	from	ADP
bracis-33548	146	42	the	the	DET
bracis-33548	146	43	target	target	NOUN
bracis-33548	146	44	.	.	PUNCT
bracis-33548	147	1	importantly	importantly	ADV
bracis-33548	147	2	,	,	PUNCT
bracis-33548	147	3	however	however	ADV
bracis-33548	147	4	,	,	PUNCT
bracis-33548	147	5	the	the	DET
bracis-33548	147	6	\(\beta	\(\beta	PROPN
bracis-33548	147	7	\	\	PROPN
bracis-33548	147	8	)	)	PUNCT
bracis-33548	147	9	does	do	AUX
bracis-33548	147	10	not	not	PART
bracis-33548	147	11	depend	depend	VERB
bracis-33548	147	12	on	on	ADP
bracis-33548	147	13	the	the	DET
bracis-33548	147	14	estimation	estimation	NOUN
bracis-33548	147	15	of	of	ADP
bracis-33548	147	16	intractable	intractable	ADJ
bracis-33548	147	17	quantities	quantity	NOUN
bracis-33548	147	18	and	and	CCONJ
bracis-33548	147	19	enforcing	enforce	VERB
bracis-33548	147	20	the	the	DET
bracis-33548	147	21	equality	equality	NOUN
bracis-33548	147	22	\(\beta	\(\beta	X
bracis-33548	147	23	(	(	PUNCT
bracis-33548	147	24	\tau	\tau	PROPN
bracis-33548	147	25	)	)	PUNCT
bracis-33548	148	1	=	=	SYM
bracis-33548	148	2	\beta	\beta	PROPN
bracis-33548	148	3	(	(	PUNCT
bracis-33548	148	4	\tau	\tau	PROPN
bracis-33548	148	5	'	'	NUM
bracis-33548	148	6	)	)	PUNCT
bracis-33548	148	7	\	\	NOUN
bracis-33548	148	8	)	)	PUNCT
bracis-33548	148	9	,	,	PUNCT
bracis-33548	148	10	which	which	PRON
bracis-33548	148	11	is	be	AUX
bracis-33548	148	12	the	the	DET
bracis-33548	148	13	essence	essence	NOUN
bracis-33548	148	14	of	of	ADP
bracis-33548	148	15	definition	definition	NOUN
bracis-33548	148	16	 	 	SPACE
bracis-33548	148	17	2	2	NUM
bracis-33548	148	18	below	below	ADV
bracis-33548	148	19	,	,	PUNCT
bracis-33548	148	20	avoids	avoid	VERB
bracis-33548	148	21	the	the	DET
bracis-33548	148	22	estimation	estimation	NOUN
bracis-33548	148	23	of	of	ADP
bracis-33548	148	24	high	high	ADJ
bracis-33548	148	25	-	-	PUNCT
bracis-33548	148	26	dimensional	dimensional	ADJ
bracis-33548	148	27	integrals	integral	NOUN
bracis-33548	148	28	such	such	ADJ
bracis-33548	148	29	as	as	ADP
bracis-33548	148	30	\(\log	\(\log	NOUN
bracis-33548	148	31	z(\gamma	z(\gamma	PROPN
bracis-33548	148	32	)	)	PUNCT
bracis-33548	148	33	\	\	NOUN
bracis-33548	148	34	)	)	PUNCT
bracis-33548	148	35	in	in	ADP
bracis-33548	148	36	eq	eq	ADP
bracis-33548	148	37	.	.	PUNCT
bracis-33548	148	38	 	 	SPACE
bracis-33548	148	39	(	(	PUNCT
bracis-33548	148	40	4	4	NUM
bracis-33548	148	41	)	)	PUNCT
bracis-33548	148	42	.	.	PUNCT
bracis-33548	149	1	nextly	nextly	ADV
bracis-33548	149	2	,	,	PUNCT
bracis-33548	149	3	we	we	PRON
bracis-33548	149	4	formally	formally	ADV
bracis-33548	149	5	define	define	VERB
bracis-33548	149	6	the	the	DET
bracis-33548	149	7	contrastive	contrastive	ADJ
bracis-33548	149	8	balance	balance	NOUN
bracis-33548	149	9	objective	objective	NOUN
bracis-33548	149	10	.	.	PUNCT
bracis-33548	150	1	notably	notably	ADV
bracis-33548	150	2	,	,	PUNCT
bracis-33548	150	3	we	we	PRON
bracis-33548	150	4	slightly	slightly	ADV
bracis-33548	150	5	abuse	abuse	VERB
bracis-33548	150	6	notation	notation	NOUN
bracis-33548	150	7	by	by	ADP
bracis-33548	150	8	denoting	denote	VERB
bracis-33548	150	9	\(p_{b}(x	\(p_{b}(x	NOUN
bracis-33548	150	10	,	,	PUNCT
bracis-33548	150	11	\textrm{d}\tau	\textrm{d}\tau	PUNCT
bracis-33548	150	12	)	)	PUNCT
bracis-33548	150	13	\	\	NOUN
bracis-33548	150	14	)	)	PUNCT
bracis-33548	150	15	for	for	ADP
bracis-33548	150	16	the	the	DET
bracis-33548	150	17	product	product	NOUN
bracis-33548	150	18	kernel	kernel	NOUN
bracis-33548	150	19	\(p_{b}(x	\(p_{b}(x	NOUN
bracis-33548	150	20	,	,	PUNCT
bracis-33548	150	21	\textrm{d}s_{n	\textrm{d}s_{n	NOUN
bracis-33548	150	22	}	}	PUNCT
bracis-33548	150	23	)	)	PUNCT
bracis-33548	150	24	\otimes	\otimes	PROPN
bracis-33548	150	25	p_{b}(s_{n	p_{b}(s_{n	PROPN
bracis-33548	150	26	}	}	PUNCT
bracis-33548	150	27	,	,	PUNCT
bracis-33548	150	28	\textrm{d}s_{n	\textrm{d}s_{n	PRON
bracis-33548	150	29	1	1	NUM
bracis-33548	150	30	}	}	PUNCT
bracis-33548	150	31	)	)	PUNCT
bracis-33548	150	32	\otimes	\otimes	ADP
bracis-33548	150	33	\cdots	\cdots	PROPN
bracis-33548	150	34	\otimes	\otime	NOUN
bracis-33548	150	35	p_{b}(s_{1	p_{b}(s_{1	NOUN
bracis-33548	150	36	}	}	PUNCT
bracis-33548	150	37	,	,	PUNCT
bracis-33548	150	38	\textrm{d}s_{o})\	\textrm{d}s_{o})\	NOUN
bracis-33548	150	39	)	)	PUNCT
bracis-33548	150	40	associated	associate	VERB
bracis-33548	150	41	to	to	ADP
bracis-33548	150	42	\(\tau	\(\tau	PROPN
bracis-33548	151	1	=	=	SYM
bracis-33548	151	2	(	(	PUNCT
bracis-33548	151	3	s_{o	s_{o	PROPN
bracis-33548	151	4	}	}	PUNCT
bracis-33548	151	5	,	,	PUNCT
bracis-33548	151	6	s_{1	s_{1	PROPN
bracis-33548	151	7	}	}	PUNCT
bracis-33548	151	8	,	,	PUNCT
bracis-33548	151	9	\dots	\dot	NOUN
bracis-33548	151	10	,	,	PUNCT
bracis-33548	151	11	s_{n	s_{n	ADJ
bracis-33548	151	12	}	}	PUNCT
bracis-33548	151	13	,	,	PUNCT
bracis-33548	151	14	x)\	x)\	PROPN
bracis-33548	151	15	)	)	PUNCT
bracis-33548	151	16	.	.	PUNCT
bracis-33548	152	1	definition	definition	NOUN
bracis-33548	152	2	2	2	NUM
bracis-33548	152	3	(	(	PUNCT
bracis-33548	152	4	contrastive	contrastive	ADJ
bracis-33548	152	5	balance	balance	NOUN
bracis-33548	152	6	)	)	PUNCT
bracis-33548	152	7	let	let	VERB
bracis-33548	152	8	\((\mathcal	\((\mathcal	ADJ
bracis-33548	152	9	{	{	PUNCT
bracis-33548	152	10	g	g	NOUN
bracis-33548	152	11	}	}	PUNCT
bracis-33548	152	12	,	,	PUNCT
bracis-33548	152	13	p_{f	p_{f	NOUN
bracis-33548	152	14	}	}	PUNCT
bracis-33548	152	15	,	,	PUNCT
bracis-33548	152	16	p_{b	p_{b	PROPN
bracis-33548	152	17	}	}	PUNCT
bracis-33548	152	18	,	,	PUNCT
bracis-33548	152	19	r	r	NOUN
bracis-33548	152	20	,	,	PUNCT
bracis-33548	152	21	\mu	\mu	PROPN
bracis-33548	152	22	)	)	PUNCT
bracis-33548	152	23	\	\	NOUN
bracis-33548	152	24	)	)	PUNCT
bracis-33548	152	25	be	be	AUX
bracis-33548	152	26	a	a	DET
bracis-33548	152	27	gflownet	gflownet	NOUN
bracis-33548	152	28	.	.	PUNCT
bracis-33548	153	1	the	the	DET
bracis-33548	153	2	contrastive	contrastive	ADJ
bracis-33548	153	3	balance	balance	NOUN
bracis-33548	153	4	(	(	PUNCT
bracis-33548	153	5	cb	cb	PROPN
bracis-33548	153	6	)	)	PUNCT
bracis-33548	153	7	condition	condition	NOUN
bracis-33548	153	8	is	be	AUX
bracis-33548	153	9	defined	define	VERB
bracis-33548	153	10	by	by	ADP
bracis-33548	153	11	$	$	SYM
bracis-33548	153	12	$	$	SYM
bracis-33548	153	13	\begin{aligned	\begin{aligne	VERB
bracis-33548	153	14	}	}	PUNCT
bracis-33548	153	15	\begin{aligned	\begin{aligne	VERB
bracis-33548	153	16	}	}	PUNCT
bracis-33548	153	17	\int	\int	NOUN
bracis-33548	153	18	_	_	PUNCT
bracis-33548	153	19	{	{	PUNCT
bracis-33548	153	20	\mathcal	\mathcal	ADJ
bracis-33548	153	21	{	{	PUNCT
bracis-33548	153	22	x	x	NOUN
bracis-33548	153	23	}	}	PUNCT
bracis-33548	153	24	}	}	PUNCT
bracis-33548	153	25	\int	\int	VERB
bracis-33548	153	26	_	_	PUNCT
bracis-33548	153	27	{	{	PUNCT
bracis-33548	153	28	\mathcal	\mathcal	ADJ
bracis-33548	153	29	{	{	PUNCT
bracis-33548	153	30	x	x	NOUN
bracis-33548	153	31	}	}	PUNCT
bracis-33548	153	32	}	}	PUNCT
bracis-33548	153	33	\int	\int	VERB
bracis-33548	153	34	_	_	PRON
bracis-33548	153	35	{	{	PUNCT
bracis-33548	153	36	\mathbb	\mathbb	PROPN
bracis-33548	153	37	{	{	PUNCT
bracis-33548	153	38	t	t	NOUN
bracis-33548	153	39	}	}	PUNCT
bracis-33548	153	40	'	'	PUNCT
bracis-33548	153	41	}	}	PUNCT
bracis-33548	153	42	\int	\int	VERB
bracis-33548	153	43	_	_	PRON
bracis-33548	153	44	{	{	PUNCT
bracis-33548	153	45	\mathbb	\mathbb	PROPN
bracis-33548	153	46	{	{	PUNCT
bracis-33548	153	47	t	t	NOUN
bracis-33548	153	48	}	}	PUNCT
bracis-33548	153	49	'	'	NUM
bracis-33548	153	50	}	}	PUNCT
bracis-33548	153	51	f(\tau	f(\tau	PROPN
bracis-33548	153	52	,	,	PUNCT
bracis-33548	153	53	x	x	PRON
bracis-33548	153	54	,	,	PUNCT
bracis-33548	153	55	\tau	\tau	PROPN
bracis-33548	153	56	'	'	NUM
bracis-33548	153	57	,	,	PUNCT
bracis-33548	153	58	x	x	X
bracis-33548	153	59	'	'	X
bracis-33548	153	60	)	)	PUNCT
bracis-33548	154	1	p_{f}(s_{o	p_{f}(s_{o	PROPN
bracis-33548	154	2	}	}	PUNCT
bracis-33548	154	3	,	,	PUNCT
bracis-33548	154	4	\textrm{d}\tau	\textrm{d}\tau	PROPN
bracis-33548	154	5	\textrm{d}x	\textrm{d}x	NOUN
bracis-33548	154	6	)	)	PUNCT
bracis-33548	154	7	p_{b}(x	p_{b}(x	NOUN
bracis-33548	154	8	'	'	PUNCT
bracis-33548	154	9	,	,	PUNCT
bracis-33548	154	10	\textrm{d}\tau	\textrm{d}\tau	PRON
bracis-33548	154	11	'	'	PUNCT
bracis-33548	154	12	)	)	PUNCT
bracis-33548	155	1	r(\textrm{d}x	r(\textrm{d}x	PROPN
bracis-33548	155	2	'	'	PART
bracis-33548	155	3	)	)	PUNCT
bracis-33548	155	4	\\	\\	NOUN
bracis-33548	155	5	=	=	X
bracis-33548	156	1	\int	\int	NOUN
bracis-33548	156	2	_	_	PUNCT
bracis-33548	156	3	{	{	PUNCT
bracis-33548	156	4	\mathcal	\mathcal	ADJ
bracis-33548	156	5	{	{	PUNCT
bracis-33548	156	6	x	x	NOUN
bracis-33548	156	7	}	}	PUNCT
bracis-33548	156	8	}	}	PUNCT
bracis-33548	156	9	\int	\int	VERB
bracis-33548	156	10	_	_	PUNCT
bracis-33548	156	11	{	{	PUNCT
bracis-33548	157	1	\mathcal	\mathcal	ADJ
bracis-33548	157	2	{	{	PUNCT
bracis-33548	157	3	x	x	NOUN
bracis-33548	157	4	}	}	PUNCT
bracis-33548	157	5	}	}	PUNCT
bracis-33548	157	6	\int	\int	VERB
bracis-33548	157	7	_	_	PRON
bracis-33548	157	8	{	{	PUNCT
bracis-33548	157	9	\mathbb	\mathbb	PROPN
bracis-33548	157	10	{	{	PUNCT
bracis-33548	157	11	t	t	NOUN
bracis-33548	157	12	}	}	PUNCT
bracis-33548	157	13	'	'	PUNCT
bracis-33548	157	14	}	}	PUNCT
bracis-33548	157	15	\int	\int	VERB
bracis-33548	157	16	_	_	PRON
bracis-33548	157	17	{	{	PUNCT
bracis-33548	157	18	\mathbb	\mathbb	PROPN
bracis-33548	157	19	{	{	PUNCT
bracis-33548	157	20	t	t	NOUN
bracis-33548	157	21	}	}	PUNCT
bracis-33548	157	22	'	'	NUM
bracis-33548	157	23	}	}	PUNCT
bracis-33548	157	24	f(\tau	f(\tau	PROPN
bracis-33548	157	25	,	,	PUNCT
bracis-33548	157	26	x	x	PRON
bracis-33548	157	27	,	,	PUNCT
bracis-33548	157	28	\tau	\tau	PROPN
bracis-33548	157	29	'	'	NUM
bracis-33548	157	30	,	,	PUNCT
bracis-33548	157	31	x	x	X
bracis-33548	157	32	'	'	X
bracis-33548	157	33	)	)	PUNCT
bracis-33548	157	34	r(\textrm{d}x	r(\textrm{d}x	PROPN
bracis-33548	157	35	)	)	PUNCT
bracis-33548	157	36	p_{b}(x	p_{b}(x	NOUN
bracis-33548	157	37	,	,	PUNCT
bracis-33548	157	38	\textrm{d}\tau	\textrm{d}\tau	PUNCT
bracis-33548	157	39	)	)	PUNCT
bracis-33548	158	1	p_{f}(s_{o	p_{f}(s_{o	PROPN
bracis-33548	158	2	}	}	PUNCT
bracis-33548	158	3	,	,	PUNCT
bracis-33548	158	4	\textrm{d}\tau	\textrm{d}\tau	PRON
bracis-33548	158	5	'	'	PUNCT
bracis-33548	158	6	\textrm{d}x	\textrm{d}x	PROPN
bracis-33548	158	7	'	'	PUNCT
bracis-33548	158	8	)	)	PUNCT
bracis-33548	158	9	\end{aligned	\end{aligne	VERB
bracis-33548	158	10	}	}	PUNCT
bracis-33548	158	11	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	158	12	(	(	PUNCT
bracis-33548	158	13	6	6	NUM
bracis-33548	158	14	)	)	PUNCT
bracis-33548	158	15	for	for	ADP
bracis-33548	158	16	every	every	DET
bracis-33548	158	17	bounded	bound	VERB
bracis-33548	158	18	measurable	measurable	ADJ
bracis-33548	158	19	function	function	NOUN
bracis-33548	158	20	\(f	\(f	NOUN
bracis-33548	158	21	:	:	PUNCT
bracis-33548	158	22	\mathbb	\mathbb	PROPN
bracis-33548	158	23	{	{	PUNCT
bracis-33548	158	24	t	t	NOUN
bracis-33548	158	25	}	}	PUNCT
bracis-33548	158	26	'	'	PUNCT
bracis-33548	158	27	\times	\time	VERB
bracis-33548	158	28	\mathcal	\mathcal	PROPN
bracis-33548	158	29	{	{	PUNCT
bracis-33548	158	30	x	x	NOUN
bracis-33548	158	31	}	}	PUNCT
bracis-33548	158	32	\times	\time	NOUN
bracis-33548	158	33	\mathbb	\mathbb	PROPN
bracis-33548	158	34	{	{	PUNCT
bracis-33548	158	35	t	t	NOUN
bracis-33548	158	36	}	}	PUNCT
bracis-33548	158	37	'	'	PUNCT
bracis-33548	158	38	\times	\time	VERB
bracis-33548	158	39	\mathcal	\mathcal	PROPN
bracis-33548	158	40	{	{	PUNCT
bracis-33548	158	41	x	x	NOUN
bracis-33548	158	42	}	}	PUNCT
bracis-33548	158	43	\rightarrow	\rightarrow	PROPN
bracis-33548	158	44	\mathbb	\mathbb	PROPN
bracis-33548	158	45	{	{	PUNCT
bracis-33548	158	46	r}\	r}\	NUM
bracis-33548	158	47	)	)	PUNCT
bracis-33548	158	48	.	.	PUNCT
bracis-33548	159	1	illustratively	illustratively	ADV
bracis-33548	159	2	,	,	PUNCT
bracis-33548	159	3	when	when	SCONJ
bracis-33548	159	4	s	s	NOUN
bracis-33548	159	5	is	be	AUX
bracis-33548	159	6	finite	finite	ADJ
bracis-33548	159	7	,	,	PUNCT
bracis-33548	159	8	the	the	DET
bracis-33548	159	9	reference	reference	NOUN
bracis-33548	159	10	measure	measure	NOUN
bracis-33548	159	11	is	be	AUX
bracis-33548	159	12	the	the	DET
bracis-33548	159	13	counting	counting	NOUN
bracis-33548	159	14	measure	measure	NOUN
bracis-33548	159	15	,	,	PUNCT
bracis-33548	159	16	and	and	CCONJ
bracis-33548	159	17	we	we	PRON
bracis-33548	159	18	let	let	VERB
bracis-33548	159	19	f	f	PRON
bracis-33548	159	20	represent	represent	VERB
bracis-33548	159	21	the	the	DET
bracis-33548	159	22	indicator	indicator	NOUN
bracis-33548	159	23	functions	function	NOUN
bracis-33548	159	24	of	of	ADP
bracis-33548	159	25	elements	element	NOUN
bracis-33548	159	26	in	in	ADP
bracis-33548	159	27	the	the	DET
bracis-33548	159	28	space	space	NOUN
bracis-33548	159	29	\(\mathbb	\(\mathbb	NOUN
bracis-33548	159	30	{	{	PUNCT
bracis-33548	159	31	t	t	NOUN
bracis-33548	159	32	}	}	PUNCT
bracis-33548	159	33	'	'	PUNCT
bracis-33548	159	34	\times	\time	VERB
bracis-33548	159	35	\mathcal	\mathcal	PROPN
bracis-33548	159	36	{	{	PUNCT
bracis-33548	159	37	x	x	NOUN
bracis-33548	159	38	}	}	PUNCT
bracis-33548	159	39	\times	\time	NOUN
bracis-33548	159	40	\mathbb	\mathbb	PROPN
bracis-33548	159	41	{	{	PUNCT
bracis-33548	159	42	t	t	NOUN
bracis-33548	159	43	}	}	PUNCT
bracis-33548	159	44	'	'	PUNCT
bracis-33548	159	45	\times	\time	VERB
bracis-33548	159	46	\mathcal	\mathcal	PROPN
bracis-33548	159	47	{	{	PUNCT
bracis-33548	159	48	x}\	x}\	PROPN
bracis-33548	159	49	)	)	PUNCT
bracis-33548	159	50	,	,	PUNCT
bracis-33548	159	51	the	the	DET
bracis-33548	159	52	condition	condition	NOUN
bracis-33548	159	53	above	above	ADV
bracis-33548	159	54	reduces	reduce	VERB
bracis-33548	159	55	to	to	ADP
bracis-33548	159	56	the	the	DET
bracis-33548	159	57	discrete	discrete	ADJ
bracis-33548	159	58	contrastive	contrastive	ADJ
bracis-33548	159	59	balance	balance	NOUN
bracis-33548	159	60	condition	condition	NOUN
bracis-33548	159	61	,	,	PUNCT
bracis-33548	159	62	namely	namely	ADV
bracis-33548	159	63	,	,	PUNCT
bracis-33548	159	64	\(p_{f}(\tau	\(p_{f}(\tau	PROPN
bracis-33548	159	65	,	,	PUNCT
bracis-33548	159	66	x	x	X
bracis-33548	159	67	)	)	PUNCT
bracis-33548	159	68	p_{b}(x	p_{b}(x	NOUN
bracis-33548	159	69	'	'	PUNCT
bracis-33548	159	70	,	,	PUNCT
bracis-33548	159	71	\tau	\tau	PROPN
bracis-33548	159	72	'	'	PUNCT
bracis-33548	159	73	)	)	PUNCT
bracis-33548	160	1	r(x	r(x	NOUN
bracis-33548	160	2	'	'	PUNCT
bracis-33548	160	3	)	)	PUNCT
bracis-33548	160	4	=	=	SYM
bracis-33548	160	5	r(x	r(x	NOUN
bracis-33548	160	6	)	)	PUNCT
bracis-33548	160	7	p_{b}(x	p_{b}(x	NOUN
bracis-33548	160	8	,	,	PUNCT
bracis-33548	160	9	\tau	\tau	PROPN
bracis-33548	160	10	)	)	PUNCT
bracis-33548	160	11	p_{f}(\tau	p_{f}(\tau	ADV
bracis-33548	160	12	'	'	PUNCT
bracis-33548	160	13	,	,	PUNCT
bracis-33548	160	14	x')\	x')\	PROPN
bracis-33548	160	15	)	)	PUNCT
bracis-33548	160	16	for	for	ADP
bracis-33548	160	17	every	every	DET
bracis-33548	160	18	pair	pair	NOUN
bracis-33548	160	19	\((\tau	\((\tau	ADV
bracis-33548	160	20	,	,	PUNCT
bracis-33548	160	21	\tau	\tau	PROPN
bracis-33548	160	22	'	'	NUM
bracis-33548	160	23	)	)	PUNCT
bracis-33548	160	24	\	\	NOUN
bracis-33548	160	25	)	)	PUNCT
bracis-33548	160	26	of	of	ADP
bracis-33548	160	27	trajectories	trajectory	NOUN
bracis-33548	160	28	and	and	CCONJ
bracis-33548	160	29	\((x	\((x	ADJ
bracis-33548	160	30	,	,	PUNCT
bracis-33548	160	31	x')\	x')\	PROPN
bracis-33548	160	32	)	)	PUNCT
bracis-33548	160	33	of	of	ADP
bracis-33548	160	34	terminal	terminal	ADJ
bracis-33548	160	35	states	state	NOUN
bracis-33548	160	36	.	.	PUNCT
bracis-33548	161	1	in	in	ADP
bracis-33548	161	2	the	the	DET
bracis-33548	161	3	light	light	NOUN
bracis-33548	161	4	of	of	ADP
bracis-33548	161	5	this	this	PRON
bracis-33548	161	6	,	,	PUNCT
bracis-33548	161	7	definition	definition	NOUN
bracis-33548	161	8	 	 	SPACE
bracis-33548	161	9	2	2	NUM
bracis-33548	161	10	generalizes	generalize	VERB
bracis-33548	161	11	the	the	DET
bracis-33548	161	12	discrete	discrete	ADJ
bracis-33548	161	13	cb	cb	NOUN
bracis-33548	161	14	condition	condition	NOUN
bracis-33548	161	15	to	to	ADP
bracis-33548	161	16	a	a	DET
bracis-33548	161	17	significantly	significantly	ADV
bracis-33548	161	18	broader	broad	ADJ
bracis-33548	161	19	setting	setting	NOUN
bracis-33548	161	20	.	.	PUNCT
bracis-33548	162	1	sufficiency	sufficiency	NOUN
bracis-33548	162	2	of	of	ADP
bracis-33548	162	3	cb	cb	PROPN
bracis-33548	162	4	.	.	PUNCT
bracis-33548	163	1	we	we	PRON
bracis-33548	163	2	rigorously	rigorously	ADV
bracis-33548	163	3	show	show	VERB
bracis-33548	163	4	in	in	ADP
bracis-33548	163	5	the	the	DET
bracis-33548	163	6	theorem	theorem	NOUN
bracis-33548	163	7	below	below	ADP
bracis-33548	163	8	that	that	PRON
bracis-33548	163	9	the	the	DET
bracis-33548	163	10	continuous	continuous	ADJ
bracis-33548	163	11	variant	variant	NOUN
bracis-33548	163	12	of	of	ADP
bracis-33548	163	13	the	the	DET
bracis-33548	163	14	cb	cb	PROPN
bracis-33548	163	15	condition	condition	NOUN
bracis-33548	163	16	outlined	outline	VERB
bracis-33548	163	17	in	in	ADP
bracis-33548	163	18	definition	definition	NOUN
bracis-33548	163	19	 	 	SPACE
bracis-33548	163	20	2	2	NUM
bracis-33548	163	21	is	be	AUX
bracis-33548	163	22	sufficient	sufficient	ADJ
bracis-33548	163	23	for	for	ADP
bracis-33548	163	24	ensuring	ensure	VERB
bracis-33548	163	25	that	that	SCONJ
bracis-33548	163	26	the	the	DET
bracis-33548	163	27	corresponding	correspond	VERB
bracis-33548	163	28	gflownet	gflownet	NOUN
bracis-33548	163	29	generates	generate	VERB
bracis-33548	163	30	samples	sample	NOUN
bracis-33548	163	31	distributed	distribute	VERB
bracis-33548	163	32	according	accord	VERB
bracis-33548	163	33	to	to	ADP
bracis-33548	163	34	the	the	DET
bracis-33548	163	35	target	target	NOUN
bracis-33548	163	36	measure	measure	NOUN
bracis-33548	163	37	r.	r.	PROPN
bracis-33548	163	38	note	note	NOUN
bracis-33548	163	39	,	,	PUNCT
bracis-33548	163	40	for	for	ADP
bracis-33548	163	41	this	this	PRON
bracis-33548	163	42	,	,	PUNCT
bracis-33548	163	43	that	that	SCONJ
bracis-33548	163	44	we	we	PRON
bracis-33548	163	45	may	may	AUX
bracis-33548	163	46	rewrite	rewrite	VERB
bracis-33548	163	47	the	the	DET
bracis-33548	163	48	eq	eq	NOUN
bracis-33548	163	49	.	.	PUNCT
bracis-33548	163	50	 	 	SPACE
bracis-33548	163	51	(	(	PUNCT
bracis-33548	163	52	6	6	NUM
bracis-33548	163	53	)	)	PUNCT
bracis-33548	163	54	in	in	ADP
bracis-33548	163	55	term	term	NOUN
bracis-33548	163	56	of	of	ADP
bracis-33548	163	57	the	the	DET
bracis-33548	163	58	densities	density	NOUN
bracis-33548	163	59	of	of	ADP
bracis-33548	163	60	the	the	DET
bracis-33548	163	61	corresponding	corresponding	ADJ
bracis-33548	163	62	measures	measure	NOUN
bracis-33548	163	63	.	.	PUNCT
bracis-33548	164	1	theorem	theorem	NOUN
bracis-33548	164	2	1	1	NUM
bracis-33548	164	3	let	let	VERB
bracis-33548	164	4	\((\mathcal	\((\mathcal	ADJ
bracis-33548	164	5	{	{	PUNCT
bracis-33548	164	6	g	g	NOUN
bracis-33548	164	7	}	}	PUNCT
bracis-33548	164	8	,	,	PUNCT
bracis-33548	164	9	p_{f	p_{f	NOUN
bracis-33548	164	10	}	}	PUNCT
bracis-33548	164	11	,	,	PUNCT
bracis-33548	164	12	p_{b	p_{b	PROPN
bracis-33548	164	13	}	}	PUNCT
bracis-33548	164	14	,	,	PUNCT
bracis-33548	164	15	r	r	NOUN
bracis-33548	164	16	,	,	PUNCT
bracis-33548	164	17	\mu	\mu	PROPN
bracis-33548	164	18	)	)	PUNCT
bracis-33548	164	19	\	\	NOUN
bracis-33548	164	20	)	)	PUNCT
bracis-33548	164	21	be	be	AUX
bracis-33548	164	22	a	a	DET
bracis-33548	164	23	gflownet	gflownet	NOUN
bracis-33548	164	24	abiding	abide	VERB
bracis-33548	164	25	by	by	ADP
bracis-33548	164	26	the	the	DET
bracis-33548	164	27	contrastive	contrastive	ADJ
bracis-33548	164	28	balance	balance	NOUN
bracis-33548	164	29	condition	condition	NOUN
bracis-33548	164	30	.	.	PUNCT
bracis-33548	165	1	then	then	ADV
bracis-33548	165	2	,	,	PUNCT
bracis-33548	165	3	the	the	DET
bracis-33548	165	4	marginal	marginal	ADJ
bracis-33548	165	5	distribution	distribution	NOUN
bracis-33548	165	6	over	over	ADP
bracis-33548	165	7	\(\mathcal	\(\mathcal	ADJ
bracis-33548	165	8	{	{	PUNCT
bracis-33548	165	9	x}\	x}\	PROPN
bracis-33548	165	10	)	)	PUNCT
bracis-33548	165	11	induced	induce	VERB
bracis-33548	165	12	by	by	ADP
bracis-33548	165	13	the	the	DET
bracis-33548	165	14	\(p_{f}\)-markov	\(p_{f}\)-markov	PROPN
bracis-33548	165	15	chain	chain	NOUN
bracis-33548	165	16	starting	start	VERB
bracis-33548	165	17	at	at	ADP
bracis-33548	165	18	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	165	19	)	)	PUNCT
bracis-33548	165	20	matches	match	VERB
bracis-33548	165	21	r.	r.	NOUN
bracis-33548	165	22	proof	proof	NOUN
bracis-33548	165	23	to	to	PART
bracis-33548	165	24	start	start	VERB
bracis-33548	165	25	with	with	ADP
bracis-33548	165	26	,	,	PUNCT
bracis-33548	165	27	we	we	PRON
bracis-33548	165	28	define	define	VERB
bracis-33548	165	29	\(t	\(t	NOUN
bracis-33548	165	30	:	:	PUNCT
bracis-33548	165	31	\mathbb	\mathbb	PROPN
bracis-33548	165	32	{	{	PUNCT
bracis-33548	165	33	t	t	X
bracis-33548	165	34	}	}	PUNCT
bracis-33548	165	35	\rightarrow	\rightarrow	PROPN
bracis-33548	165	36	\mathcal	\mathcal	PROPN
bracis-33548	165	37	{	{	PUNCT
bracis-33548	165	38	x}\	x}\	PROPN
bracis-33548	165	39	)	)	PUNCT
bracis-33548	165	40	as	as	ADP
bracis-33548	165	41	the	the	DET
bracis-33548	165	42	function	function	NOUN
bracis-33548	165	43	taking	take	VERB
bracis-33548	165	44	a	a	DET
bracis-33548	165	45	complete	complete	ADJ
bracis-33548	165	46	trajectory	trajectory	NOUN
bracis-33548	165	47	and	and	CCONJ
bracis-33548	165	48	returning	return	VERB
bracis-33548	165	49	its	its	PRON
bracis-33548	165	50	terminal	terminal	ADJ
bracis-33548	165	51	state	state	NOUN
bracis-33548	165	52	.	.	PUNCT
bracis-33548	166	1	by	by	ADP
bracis-33548	166	2	the	the	DET
bracis-33548	166	3	definition	definition	NOUN
bracis-33548	166	4	of	of	ADP
bracis-33548	166	5	\(\mathcal	\(\mathcal	ADJ
bracis-33548	166	6	{	{	PUNCT
bracis-33548	166	7	x}\	x}\	PROPN
bracis-33548	166	8	)	)	PUNCT
bracis-33548	166	9	,	,	PUNCT
bracis-33548	166	10	t	t	PROPN
bracis-33548	166	11	is	be	AUX
bracis-33548	166	12	well	well	ADV
bracis-33548	166	13	-	-	PUNCT
bracis-33548	166	14	defined	define	VERB
bracis-33548	166	15	almost	almost	ADV
bracis-33548	166	16	everywhere	everywhere	ADV
bracis-33548	166	17	with	with	ADP
bracis-33548	166	18	respect	respect	NOUN
bracis-33548	166	19	to	to	ADP
bracis-33548	166	20	the	the	DET
bracis-33548	166	21	measure	measure	NOUN
bracis-33548	166	22	\(\kappa	\(\kappa	PROPN
bracis-33548	166	23	(	(	PUNCT
bracis-33548	166	24	s_{o	s_{o	PROPN
bracis-33548	166	25	}	}	PUNCT
bracis-33548	166	26	,	,	PUNCT
bracis-33548	166	27	\cdot	\cdot	NOUN
bracis-33548	166	28	)	)	PUNCT
bracis-33548	166	29	\	\	NOUN
bracis-33548	166	30	)	)	PUNCT
bracis-33548	166	31	over	over	ADP
bracis-33548	166	32	trajectories	trajectory	NOUN
bracis-33548	166	33	.	.	PUNCT
bracis-33548	167	1	then	then	ADV
bracis-33548	167	2	,	,	PUNCT
bracis-33548	167	3	we	we	PRON
bracis-33548	167	4	show	show	VERB
bracis-33548	167	5	that	that	SCONJ
bracis-33548	167	6	eq	eq	ADP
bracis-33548	167	7	.	.	PUNCT
bracis-33548	167	8	 	 	SPACE
bracis-33548	167	9	(	(	PUNCT
bracis-33548	167	10	6	6	NUM
bracis-33548	167	11	)	)	PUNCT
bracis-33548	167	12	is	be	AUX
bracis-33548	167	13	enough	enough	ADJ
bracis-33548	167	14	to	to	PART
bracis-33548	167	15	ensure	ensure	VERB
bracis-33548	167	16	,	,	PUNCT
bracis-33548	167	17	for	for	ADP
bracis-33548	167	18	all	all	DET
bracis-33548	167	19	measurable	measurable	ADJ
bracis-33548	167	20	\(a	\(a	NOUN
bracis-33548	167	21	\subseteq	\subseteq	PROPN
bracis-33548	167	22	\mathcal	\mathcal	PROPN
bracis-33548	167	23	{	{	PUNCT
bracis-33548	167	24	x}\	x}\	PROPN
bracis-33548	167	25	)	)	PUNCT
bracis-33548	167	26	,	,	PUNCT
bracis-33548	167	27	that	that	SCONJ
bracis-33548	167	28	$	$	SYM
bracis-33548	167	29	$	$	SYM
bracis-33548	167	30	\begin{aligned	\begin{aligne	VERB
bracis-33548	167	31	}	}	PUNCT
bracis-33548	167	32	\int	\int	NOUN
bracis-33548	167	33	_	_	PRON
bracis-33548	167	34	{	{	PUNCT
bracis-33548	167	35	\mathbb	\mathbb	PROPN
bracis-33548	167	36	{	{	PUNCT
bracis-33548	167	37	t	t	NOUN
bracis-33548	167	38	}	}	PUNCT
bracis-33548	167	39	}	}	PUNCT
bracis-33548	167	40	\mathbbm	\mathbbm	X
bracis-33548	167	41	{	{	PUNCT
bracis-33548	167	42	1}_{\{t(\tau	1}_{\{t(\tau	NUM
bracis-33548	167	43	)	)	PUNCT
bracis-33548	167	44	\in	\in	PROPN
bracis-33548	167	45	a\	a\	NOUN
bracis-33548	167	46	}	}	PUNCT
bracis-33548	167	47	}	}	PUNCT
bracis-33548	167	48	p_{f}(s_{o	p_{f}(s_{o	PROPN
bracis-33548	167	49	}	}	PUNCT
bracis-33548	167	50	,	,	PUNCT
bracis-33548	167	51	\textrm{d}\tau	\textrm{d}\tau	PROPN
bracis-33548	167	52	)	)	PUNCT
bracis-33548	168	1	\propto	\propto	PROPN
bracis-33548	169	1	r(a	r(a	NUM
bracis-33548	169	2	)	)	PUNCT
bracis-33548	170	1	,	,	PUNCT
bracis-33548	170	2	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	170	3	(	(	PUNCT
bracis-33548	170	4	7	7	NUM
bracis-33548	170	5	)	)	PUNCT
bracis-33548	170	6	i.e.	i.e.	X
bracis-33548	170	7	,	,	PUNCT
bracis-33548	170	8	the	the	DET
bracis-33548	170	9	marginal	marginal	ADJ
bracis-33548	170	10	distribution	distribution	NOUN
bracis-33548	170	11	of	of	ADP
bracis-33548	170	12	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	170	13	)	)	PUNCT
bracis-33548	170	14	on	on	ADP
bracis-33548	170	15	\(\mathcal	\(\mathcal	ADJ
bracis-33548	170	16	{	{	PUNCT
bracis-33548	170	17	x}\	x}\	PROPN
bracis-33548	170	18	)	)	PUNCT
bracis-33548	170	19	matches	match	VERB
bracis-33548	170	20	r.	r.	PROPN
bracis-33548	170	21	under	under	ADP
bracis-33548	170	22	these	these	DET
bracis-33548	170	23	conditions	condition	NOUN
bracis-33548	170	24	,	,	PUNCT
bracis-33548	170	25	we	we	PRON
bracis-33548	170	26	first	first	ADV
bracis-33548	170	27	note	note	VERB
bracis-33548	170	28	that	that	SCONJ
bracis-33548	170	29	,	,	PUNCT
bracis-33548	170	30	when	when	SCONJ
bracis-33548	170	31	the	the	DET
bracis-33548	170	32	function	function	NOUN
bracis-33548	170	33	f	f	PROPN
bracis-33548	170	34	does	do	AUX
bracis-33548	170	35	not	not	PART
bracis-33548	170	36	depend	depend	VERB
bracis-33548	170	37	on	on	ADP
bracis-33548	170	38	the	the	DET
bracis-33548	170	39	last	last	ADJ
bracis-33548	170	40	two	two	NUM
bracis-33548	170	41	parameters	parameter	NOUN
bracis-33548	170	42	,	,	PUNCT
bracis-33548	170	43	eq	eq	NOUN
bracis-33548	170	44	.	.	PROPN
bracis-33548	170	45	 	 	SPACE
bracis-33548	170	46	(	(	PUNCT
bracis-33548	170	47	6	6	NUM
bracis-33548	170	48	)	)	PUNCT
bracis-33548	170	49	becomes	become	VERB
bracis-33548	170	50	$	$	SYM
bracis-33548	170	51	$	$	SYM
bracis-33548	170	52	\begin{aligned	\begin{aligne	VERB
bracis-33548	170	53	}	}	PUNCT
bracis-33548	170	54	\begin{aligned	\begin{aligne	VERB
bracis-33548	170	55	}	}	PUNCT
bracis-33548	170	56	\int	\int	NOUN
bracis-33548	170	57	_	_	PUNCT
bracis-33548	170	58	{	{	PUNCT
bracis-33548	170	59	\mathcal	\mathcal	ADJ
bracis-33548	170	60	{	{	PUNCT
bracis-33548	170	61	x	x	NOUN
bracis-33548	170	62	}	}	PUNCT
bracis-33548	170	63	}	}	PUNCT
bracis-33548	170	64	\int	\int	VERB
bracis-33548	170	65	_	_	PRON
bracis-33548	170	66	{	{	PUNCT
bracis-33548	170	67	\mathbb	\mathbb	PROPN
bracis-33548	170	68	{	{	PUNCT
bracis-33548	170	69	t	t	NOUN
bracis-33548	170	70	}	}	PUNCT
bracis-33548	170	71	'	'	NUM
bracis-33548	170	72	}	}	PUNCT
bracis-33548	170	73	f(\tau	f(\tau	PROPN
bracis-33548	170	74	,	,	PUNCT
bracis-33548	170	75	x	x	X
bracis-33548	170	76	)	)	PUNCT
bracis-33548	170	77	p_{f}(s_{o	p_{f}(s_{o	PROPN
bracis-33548	170	78	}	}	PUNCT
bracis-33548	170	79	,	,	PUNCT
bracis-33548	170	80	\textrm{d}\tau	\textrm{d}\tau	PROPN
bracis-33548	170	81	\textrm{d}x	\textrm{d}x	NOUN
bracis-33548	170	82	)	)	PUNCT
bracis-33548	170	83	\underbrace{\left	\underbrace{\left	NOUN
bracis-33548	170	84	(	(	PUNCT
bracis-33548	170	85	\int	\int	PROPN
bracis-33548	170	86	_	_	PUNCT
bracis-33548	170	87	{	{	PUNCT
bracis-33548	170	88	\mathcal	\mathcal	ADJ
bracis-33548	170	89	{	{	PUNCT
bracis-33548	170	90	x	x	NOUN
bracis-33548	170	91	}	}	PUNCT
bracis-33548	170	92	}	}	PUNCT
bracis-33548	170	93	\int	\int	VERB
bracis-33548	170	94	_	_	PRON
bracis-33548	170	95	{	{	PUNCT
bracis-33548	170	96	\mathbb	\mathbb	PROPN
bracis-33548	170	97	{	{	PUNCT
bracis-33548	170	98	t	t	NOUN
bracis-33548	170	99	}	}	PUNCT
bracis-33548	170	100	'	'	NUM
bracis-33548	170	101	}	}	PUNCT
bracis-33548	170	102	r(\textrm{d}x	r(\textrm{d}x	PROPN
bracis-33548	170	103	'	'	PART
bracis-33548	170	104	)	)	PUNCT
bracis-33548	170	105	p_{b}(x	p_{b}(x	NOUN
bracis-33548	170	106	'	'	PUNCT
bracis-33548	170	107	,	,	PUNCT
bracis-33548	170	108	\textrm{d}\tau	\textrm{d}\tau	PRON
bracis-33548	170	109	'	'	PUNCT
bracis-33548	170	110	)	)	PUNCT
bracis-33548	171	1	\right	\right	NOUN
bracis-33548	171	2	)	)	PUNCT
bracis-33548	171	3	}	}	PUNCT
bracis-33548	171	4	_	_	PUNCT
bracis-33548	171	5	{	{	PUNCT
bracis-33548	171	6	=	=	PUNCT
bracis-33548	171	7	z	z	ADJ
bracis-33548	171	8	}	}	PUNCT
bracis-33548	171	9	\\	\\	NOUN
bracis-33548	171	10	=	=	SYM
bracis-33548	171	11	\underbrace{\left	\underbrace{\left	NOUN
bracis-33548	171	12	(	(	PUNCT
bracis-33548	171	13	\int	\int	PROPN
bracis-33548	171	14	_	_	PUNCT
bracis-33548	171	15	{	{	PUNCT
bracis-33548	171	16	\mathcal	\mathcal	ADJ
bracis-33548	171	17	{	{	PUNCT
bracis-33548	171	18	x	x	NOUN
bracis-33548	171	19	}	}	PUNCT
bracis-33548	171	20	}	}	PUNCT
bracis-33548	171	21	\int	\int	VERB
bracis-33548	171	22	_	_	PRON
bracis-33548	171	23	{	{	PUNCT
bracis-33548	171	24	\mathbb	\mathbb	PROPN
bracis-33548	171	25	{	{	PUNCT
bracis-33548	171	26	t	t	NOUN
bracis-33548	171	27	}	}	PUNCT
bracis-33548	171	28	'	'	PUNCT
bracis-33548	171	29	}	}	PUNCT
bracis-33548	171	30	p_{f}(s_{o	p_{f}(s_{o	PROPN
bracis-33548	171	31	}	}	PUNCT
bracis-33548	171	32	,	,	PUNCT
bracis-33548	171	33	\textrm{d}\tau	\textrm{d}\tau	PRON
bracis-33548	171	34	'	'	PUNCT
bracis-33548	171	35	\textrm{d}x	\textrm{d}x	PROPN
bracis-33548	171	36	'	'	NUM
bracis-33548	171	37	)	)	PUNCT
bracis-33548	171	38	\right	\right	NOUN
bracis-33548	171	39	)	)	PUNCT
bracis-33548	171	40	}	}	PUNCT
bracis-33548	172	1	_	_	PUNCT
bracis-33548	172	2	{	{	PUNCT
bracis-33548	173	1	=	=	NOUN
bracis-33548	173	2	1	1	NUM
bracis-33548	173	3	}	}	PUNCT
bracis-33548	173	4	\int	\int	NOUN
bracis-33548	173	5	_	_	PUNCT
bracis-33548	173	6	{	{	PUNCT
bracis-33548	173	7	\mathcal	\mathcal	ADJ
bracis-33548	173	8	{	{	PUNCT
bracis-33548	173	9	x	x	NOUN
bracis-33548	173	10	}	}	PUNCT
bracis-33548	173	11	}	}	PUNCT
bracis-33548	173	12	\int	\int	VERB
bracis-33548	173	13	_	_	PRON
bracis-33548	173	14	{	{	PUNCT
bracis-33548	173	15	\mathbb	\mathbb	PROPN
bracis-33548	173	16	{	{	PUNCT
bracis-33548	173	17	t	t	NOUN
bracis-33548	173	18	}	}	PUNCT
bracis-33548	173	19	'	'	NUM
bracis-33548	173	20	}	}	PUNCT
bracis-33548	173	21	f(\tau	f(\tau	PROPN
bracis-33548	173	22	,	,	PUNCT
bracis-33548	173	23	x	x	X
bracis-33548	173	24	)	)	PUNCT
bracis-33548	173	25	r(\textrm{d}x	r(\textrm{d}x	PROPN
bracis-33548	173	26	)	)	PUNCT
bracis-33548	173	27	p_{b}(x	p_{b}(x	NOUN
bracis-33548	173	28	,	,	PUNCT
bracis-33548	173	29	\textrm{d}\tau	\textrm{d}\tau	PROPN
bracis-33548	173	30	)	)	PUNCT
bracis-33548	173	31	,	,	PUNCT
bracis-33548	173	32	\end{aligned	\end{aligne	VERB
bracis-33548	173	33	}	}	PUNCT
bracis-33548	173	34	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	173	35	(	(	PUNCT
bracis-33548	173	36	8)	8)	NUM
bracis-33548	173	37	which	which	PRON
bracis-33548	173	38	recovers	recover	VERB
bracis-33548	173	39	lahlou	lahlou	PROPN
bracis-33548	173	40	et	et	PROPN
bracis-33548	173	41	al	al	PROPN
bracis-33548	173	42	.	.	PROPN
bracis-33548	173	43	’s	’s	PROPN
bracis-33548	174	1	tb	tb	ADP
bracis-33548	174	2	condition	condition	NOUN
bracis-33548	174	3	[	[	X
bracis-33548	174	4	13	13	NUM
bracis-33548	174	5	,	,	PUNCT
bracis-33548	174	6	definition	definition	NOUN
bracis-33548	174	7	6	6	NUM
bracis-33548	174	8	]	]	PUNCT
bracis-33548	174	9	.	.	PUNCT
bracis-33548	175	1	consequently	consequently	ADV
bracis-33548	175	2	,	,	PUNCT
bracis-33548	175	3	the	the	DET
bracis-33548	175	4	result	result	NOUN
bracis-33548	175	5	follows	follow	VERB
bracis-33548	175	6	from	from	ADP
bracis-33548	175	7	[	[	X
bracis-33548	175	8	13	13	NUM
bracis-33548	175	9	,	,	PUNCT
bracis-33548	175	10	theorem	theorem	ADJ
bracis-33548	175	11	2	2	NUM
bracis-33548	175	12	,	,	PUNCT
bracis-33548	175	13	(	(	PUNCT
bracis-33548	175	14	4	4	NUM
bracis-33548	175	15	)	)	PUNCT
bracis-33548	175	16	]	]	PUNCT
bracis-33548	175	17	.	.	PUNCT
bracis-33548	176	1	for	for	ADP
bracis-33548	176	2	completeness	completeness	NOUN
bracis-33548	176	3	,	,	PUNCT
bracis-33548	176	4	however	however	ADV
bracis-33548	176	5	,	,	PUNCT
bracis-33548	176	6	it	it	PRON
bracis-33548	176	7	is	be	AUX
bracis-33548	176	8	easy	easy	ADJ
bracis-33548	176	9	to	to	PART
bracis-33548	176	10	see	see	VERB
bracis-33548	176	11	that	that	PRON
bracis-33548	176	12	eq	eq	NOUN
bracis-33548	176	13	.	.	PUNCT
bracis-33548	176	14	 	 	SPACE
bracis-33548	177	1	(	(	PUNCT
bracis-33548	177	2	8)	8)	NUM
bracis-33548	177	3	ensures	ensure	VERB
bracis-33548	177	4	that	that	SCONJ
bracis-33548	177	5	\(p_{f}(s_{o	\(p_{f}(s_{o	NOUN
bracis-33548	177	6	}	}	PUNCT
bracis-33548	177	7	,	,	PUNCT
bracis-33548	177	8	\cdot	\cdot	NOUN
bracis-33548	177	9	)	)	PUNCT
bracis-33548	177	10	\	\	NOUN
bracis-33548	177	11	)	)	PUNCT
bracis-33548	177	12	and	and	CCONJ
bracis-33548	177	13	\(r(\textrm{d}x	\(r(\textrm{d}x	PROPN
bracis-33548	177	14	)	)	PUNCT
bracis-33548	177	15	p_{b}(x	p_{b}(x	NOUN
bracis-33548	177	16	,	,	PUNCT
bracis-33548	177	17	\cdot	\cdot	NOUN
bracis-33548	177	18	)	)	PUNCT
bracis-33548	177	19	\	\	PROPN
bracis-33548	177	20	)	)	PUNCT
bracis-33548	177	21	,	,	PUNCT
bracis-33548	177	22	when	when	SCONJ
bracis-33548	177	23	interpreted	interpret	VERB
bracis-33548	177	24	as	as	ADP
bracis-33548	177	25	distributions	distribution	NOUN
bracis-33548	177	26	over	over	ADP
bracis-33548	177	27	\(s^{\otimes	\(s^{\otime	NOUN
bracis-33548	177	28	\le	\le	PROPN
bracis-33548	177	29	n	n	CCONJ
bracis-33548	177	30	1	1	NUM
bracis-33548	177	31	}	}	PUNCT
bracis-33548	177	32	\times	\times	ADP
bracis-33548	177	33	\{s_{f}\}\	\{s_{f}\}\	NOUN
bracis-33548	177	34	)	)	PUNCT
bracis-33548	177	35	,	,	PUNCT
bracis-33548	177	36	are	be	AUX
bracis-33548	177	37	equivalent	equivalent	ADJ
bracis-33548	177	38	in	in	ADP
bracis-33548	177	39	terms	term	NOUN
bracis-33548	177	40	of	of	ADP
bracis-33548	177	41	expectations	expectation	NOUN
bracis-33548	177	42	of	of	ADP
bracis-33548	177	43	bounded	bounded	ADJ
bracis-33548	177	44	measurable	measurable	ADJ
bracis-33548	177	45	functions	function	NOUN
bracis-33548	177	46	and	and	CCONJ
bracis-33548	177	47	,	,	PUNCT
bracis-33548	177	48	thus	thus	ADV
bracis-33548	177	49	,	,	PUNCT
bracis-33548	177	50	must	must	AUX
bracis-33548	177	51	be	be	AUX
bracis-33548	177	52	indistinguishable	indistinguishable	ADJ
bracis-33548	177	53	up	up	ADP
bracis-33548	177	54	to	to	ADP
bracis-33548	177	55	a	a	DET
bracis-33548	177	56	multiplicative	multiplicative	ADJ
bracis-33548	177	57	constant	constant	NOUN
bracis-33548	177	58	.	.	PUNCT
bracis-33548	178	1	hence	hence	ADV
bracis-33548	178	2	,	,	PUNCT
bracis-33548	178	3	by	by	ADP
bracis-33548	178	4	integrating	integrate	VERB
bracis-33548	178	5	out	out	ADP
bracis-33548	178	6	the	the	DET
bracis-33548	178	7	elements	element	NOUN
bracis-33548	178	8	of	of	ADP
bracis-33548	178	9	\(\tau	\(\tau	PROPN
bracis-33548	178	10	\	\	NOUN
bracis-33548	178	11	)	)	PUNCT
bracis-33548	178	12	that	that	PRON
bracis-33548	178	13	are	be	AUX
bracis-33548	178	14	not	not	PART
bracis-33548	178	15	members	member	NOUN
bracis-33548	178	16	of	of	ADP
bracis-33548	178	17	\(\mathcal	\(\mathcal	ADJ
bracis-33548	178	18	{	{	PUNCT
bracis-33548	178	19	x}\	x}\	PROPN
bracis-33548	178	20	)	)	PUNCT
bracis-33548	178	21	,	,	PUNCT
bracis-33548	178	22	we	we	PRON
bracis-33548	178	23	obtain	obtain	VERB
bracis-33548	178	24	eq	eq	ADP
bracis-33548	178	25	.	.	PUNCT
bracis-33548	178	26	 	 	SPACE
bracis-33548	178	27	(	(	PUNCT
bracis-33548	178	28	7	7	NUM
bracis-33548	178	29	)	)	PUNCT
bracis-33548	178	30	.	.	PUNCT
bracis-33548	179	1	finally	finally	ADV
bracis-33548	179	2	,	,	PUNCT
bracis-33548	179	3	before	before	SCONJ
bracis-33548	179	4	we	we	PRON
bracis-33548	179	5	delve	delve	VERB
bracis-33548	179	6	into	into	ADP
bracis-33548	179	7	the	the	DET
bracis-33548	179	8	algorithmic	algorithmic	ADJ
bracis-33548	179	9	aspects	aspect	NOUN
bracis-33548	179	10	of	of	ADP
bracis-33548	179	11	contrasitve	contrasitve	VERB
bracis-33548	179	12	learning	learning	NOUN
bracis-33548	179	13	of	of	ADP
bracis-33548	179	14	gflownets	gflownet	NOUN
bracis-33548	179	15	,	,	PUNCT
bracis-33548	179	16	we	we	PRON
bracis-33548	179	17	again	again	ADV
bracis-33548	179	18	emphasize	emphasize	VERB
bracis-33548	179	19	the	the	DET
bracis-33548	179	20	result	result	NOUN
bracis-33548	179	21	above	above	ADV
bracis-33548	179	22	is	be	AUX
bracis-33548	179	23	general	general	ADJ
bracis-33548	179	24	enough	enough	ADV
bracis-33548	179	25	to	to	PART
bracis-33548	179	26	contemplate	contemplate	VERB
bracis-33548	179	27	distributions	distribution	NOUN
bracis-33548	179	28	supported	support	VERB
bracis-33548	179	29	on	on	ADP
bracis-33548	179	30	continuous	continuous	ADJ
bracis-33548	179	31	,	,	PUNCT
bracis-33548	179	32	discrete	discrete	ADJ
bracis-33548	179	33	,	,	PUNCT
bracis-33548	179	34	and	and	CCONJ
bracis-33548	179	35	mixed	mixed	ADJ
bracis-33548	179	36	spaces	space	NOUN
bracis-33548	179	37	.	.	PUNCT
bracis-33548	180	1	3.2	3.2	NUM
bracis-33548	180	2	contrastive	contrastive	ADJ
bracis-33548	180	3	loss	loss	NOUN
bracis-33548	180	4	contrastive	contrastive	ADJ
bracis-33548	180	5	loss	loss	NOUN
bracis-33548	180	6	.	.	PUNCT
bracis-33548	181	1	realistically	realistically	ADV
bracis-33548	181	2	,	,	PUNCT
bracis-33548	181	3	finding	find	VERB
bracis-33548	181	4	a	a	DET
bracis-33548	181	5	policy	policy	NOUN
bracis-33548	181	6	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	181	7	)	)	PUNCT
bracis-33548	181	8	satisfying	satisfy	VERB
bracis-33548	181	9	the	the	DET
bracis-33548	181	10	cb	cb	PROPN
bracis-33548	181	11	condition	condition	NOUN
bracis-33548	181	12	is	be	AUX
bracis-33548	181	13	an	an	DET
bracis-33548	181	14	analytically	analytically	ADV
bracis-33548	181	15	intractable	intractable	ADJ
bracis-33548	181	16	problem	problem	NOUN
bracis-33548	181	17	.	.	PUNCT
bracis-33548	182	1	as	as	ADP
bracis-33548	182	2	a	a	DET
bracis-33548	182	3	consequence	consequence	NOUN
bracis-33548	182	4	,	,	PUNCT
bracis-33548	182	5	we	we	PRON
bracis-33548	182	6	parameterize	parameterize	VERB
bracis-33548	182	7	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	182	8	)	)	PUNCT
bracis-33548	182	9	with	with	ADP
bracis-33548	182	10	a	a	DET
bracis-33548	182	11	neural	neural	ADJ
bracis-33548	182	12	network	network	NOUN
bracis-33548	182	13	with	with	ADP
bracis-33548	182	14	weights	weight	NOUN
bracis-33548	182	15	\(\theta	\(\theta	NOUN
bracis-33548	182	16	\	\	NOUN
bracis-33548	182	17	)	)	PUNCT
bracis-33548	182	18	and	and	CCONJ
bracis-33548	182	19	estimate	estimate	VERB
bracis-33548	182	20	the	the	DET
bracis-33548	182	21	optimal	optimal	ADJ
bracis-33548	182	22	\(\theta	\(\theta	NOUN
bracis-33548	182	23	^{\star	^{\star	PRON
bracis-33548	182	24	}	}	PUNCT
bracis-33548	182	25	\	\	NOUN
bracis-33548	182	26	)	)	PUNCT
bracis-33548	182	27	by	by	ADP
bracis-33548	182	28	minimizing	minimize	VERB
bracis-33548	182	29	a	a	DET
bracis-33548	182	30	loss	loss	NOUN
bracis-33548	182	31	function	function	NOUN
bracis-33548	182	32	that	that	PRON
bracis-33548	182	33	provably	provably	ADV
bracis-33548	182	34	enforces	enforce	VERB
bracis-33548	182	35	eq	eq	ADP
bracis-33548	182	36	.	.	PROPN
bracis-33548	182	37	 	 	SPACE
bracis-33548	182	38	(	(	PUNCT
bracis-33548	182	39	6	6	NUM
bracis-33548	182	40	)	)	PUNCT
bracis-33548	182	41	.	.	PUNCT
bracis-33548	183	1	the	the	DET
bracis-33548	183	2	corollary	corollary	ADJ
bracis-33548	183	3	below	below	ADV
bracis-33548	183	4	,	,	PUNCT
bracis-33548	183	5	which	which	PRON
bracis-33548	183	6	is	be	AUX
bracis-33548	183	7	an	an	DET
bracis-33548	183	8	immediate	immediate	ADJ
bracis-33548	183	9	consequence	consequence	NOUN
bracis-33548	183	10	of	of	ADP
bracis-33548	183	11	theorem	theorem	ADJ
bracis-33548	183	12	 	 	SPACE
bracis-33548	183	13	1	1	NUM
bracis-33548	183	14	,	,	PUNCT
bracis-33548	183	15	provides	provide	VERB
bracis-33548	183	16	such	such	DET
bracis-33548	183	17	a	a	DET
bracis-33548	183	18	loss	loss	NOUN
bracis-33548	183	19	function	function	NOUN
bracis-33548	183	20	.	.	PUNCT
bracis-33548	184	1	corollary	corollary	ADJ
bracis-33548	184	2	1	1	NUM
bracis-33548	184	3	(	(	PUNCT
bracis-33548	184	4	continuous	continuous	ADJ
bracis-33548	184	5	contrastive	contrastive	ADJ
bracis-33548	184	6	loss	loss	NOUN
bracis-33548	184	7	)	)	PUNCT
bracis-33548	184	8	.	.	PUNCT
bracis-33548	185	1	under	under	ADP
bracis-33548	185	2	the	the	DET
bracis-33548	185	3	notations	notation	NOUN
bracis-33548	185	4	of	of	ADP
bracis-33548	185	5	theorem	theorem	ADJ
bracis-33548	185	6	 	 	SPACE
bracis-33548	185	7	1	1	NUM
bracis-33548	185	8	,	,	PUNCT
bracis-33548	185	9	let	let	VERB
bracis-33548	185	10	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	185	11	)	)	PUNCT
bracis-33548	185	12	,	,	PUNCT
bracis-33548	185	13	\(p_{b}\	\(p_{b}\	NOUN
bracis-33548	185	14	)	)	PUNCT
bracis-33548	185	15	and	and	CCONJ
bracis-33548	185	16	r	r	NOUN
bracis-33548	185	17	be	be	VERB
bracis-33548	185	18	the	the	DET
bracis-33548	185	19	densities	density	NOUN
bracis-33548	185	20	of	of	ADP
bracis-33548	185	21	\(p_{f}\	\(p_{f}\	NOUN
bracis-33548	185	22	)	)	PUNCT
bracis-33548	185	23	,	,	PUNCT
bracis-33548	185	24	\(p_{b}\	\(p_{b}\	NOUN
bracis-33548	185	25	)	)	PUNCT
bracis-33548	185	26	,	,	PUNCT
bracis-33548	185	27	and	and	CCONJ
bracis-33548	185	28	r	r	NOUN
bracis-33548	185	29	relatively	relatively	ADV
bracis-33548	185	30	to	to	ADP
bracis-33548	185	31	\(\kappa	\(\kappa	PROPN
bracis-33548	185	32	\	\	PROPN
bracis-33548	185	33	)	)	PUNCT
bracis-33548	185	34	,	,	PUNCT
bracis-33548	185	35	\(\kappa	\(\kappa	PROPN
bracis-33548	185	36	_	_	X
bracis-33548	185	37	{	{	PUNCT
bracis-33548	185	38	b}\	b}\	NOUN
bracis-33548	185	39	)	)	PUNCT
bracis-33548	185	40	and	and	CCONJ
bracis-33548	185	41	\(\mu	\(\mu	ADP
bracis-33548	185	42	\	\	NOUN
bracis-33548	185	43	)	)	PUNCT
bracis-33548	185	44	,	,	PUNCT
bracis-33548	185	45	respectively	respectively	ADV
bracis-33548	185	46	.	.	PUNCT
bracis-33548	186	1	then	then	ADV
bracis-33548	186	2	,	,	PUNCT
bracis-33548	186	3	we	we	PRON
bracis-33548	186	4	define	define	VERB
bracis-33548	186	5	the	the	DET
bracis-33548	186	6	continuous	continuous	ADJ
bracis-33548	186	7	contrastive	contrastive	ADJ
bracis-33548	186	8	loss	loss	NOUN
bracis-33548	186	9	(	(	PUNCT
bracis-33548	186	10	ccl	ccl	NOUN
bracis-33548	186	11	)	)	PUNCT
bracis-33548	186	12	as	as	ADP
bracis-33548	186	13	$	$	SYM
bracis-33548	186	14	$	$	SYM
bracis-33548	186	15	\begin{aligned	\begin{aligne	VERB
bracis-33548	186	16	}	}	PUNCT
bracis-33548	186	17	\mathcal	\mathcal	ADJ
bracis-33548	186	18	{	{	PUNCT
bracis-33548	186	19	l}_{cb}(\theta	l}_{cb}(\theta	PROPN
bracis-33548	186	20	)	)	PUNCT
bracis-33548	187	1	=	=	VERB
bracis-33548	187	2	\mathbb	\mathbb	PROPN
bracis-33548	187	3	{	{	PUNCT
bracis-33548	187	4	e}_{\tau	e}_{\tau	ADV
bracis-33548	187	5	,	,	PUNCT
bracis-33548	187	6	\tau	\tau	PROPN
bracis-33548	187	7	'	'	PART
bracis-33548	187	8	\sim	\sim	PROPN
bracis-33548	187	9	p_{e}(s_{o	p_{e}(s_{o	PROPN
bracis-33548	187	10	}	}	PUNCT
bracis-33548	187	11	,	,	PUNCT
bracis-33548	187	12	\cdot	\cdot	NOUN
bracis-33548	187	13	)	)	PUNCT
bracis-33548	187	14	\otimes	\otimes	ADP
bracis-33548	187	15	p_{e}(s_{o	p_{e}(s_{o	PROPN
bracis-33548	187	16	}	}	PUNCT
bracis-33548	187	17	,	,	PUNCT
bracis-33548	187	18	\cdot	\cdot	NOUN
bracis-33548	187	19	)	)	PUNCT
bracis-33548	187	20	}	}	PUNCT
bracis-33548	187	21	\left	\left	PROPN
bracis-33548	187	22	[	[	PUNCT
bracis-33548	187	23	\left	\left	PROPN
bracis-33548	187	24	(	(	PUNCT
bracis-33548	187	25	\frac{p_{f}(\tau	\frac{p_{f}(\tau	PROPN
bracis-33548	187	26	)	)	PUNCT
bracis-33548	187	27	}	}	PUNCT
bracis-33548	187	28	{	{	PUNCT
bracis-33548	187	29	p_{b}(\tau	p_{b}(\tau	X
bracis-33548	187	30	|	|	NOUN
bracis-33548	187	31	x	x	NOUN
bracis-33548	187	32	)	)	PUNCT
bracis-33548	187	33	r(x	r(x	PROPN
bracis-33548	187	34	)	)	PUNCT
bracis-33548	187	35	}	}	PUNCT
bracis-33548	187	36	\frac{p_{f}(\tau	\frac{p_{f}(\tau	PRON
bracis-33548	187	37	'	'	PUNCT
bracis-33548	187	38	)	)	PUNCT
bracis-33548	187	39	}	}	PUNCT
bracis-33548	187	40	{	{	PUNCT
bracis-33548	187	41	p_{b}(\tau	p_{b}(\tau	X
bracis-33548	187	42	'	'	PUNCT
bracis-33548	187	43	|	|	ADV
bracis-33548	187	44	x	x	NOUN
bracis-33548	187	45	'	'	PUNCT
bracis-33548	187	46	)	)	PUNCT
bracis-33548	188	1	r(x')}\right	r(x')}\right	NOUN
bracis-33548	188	2	)	)	PUNCT
bracis-33548	188	3	^{2	^{2	NOUN
bracis-33548	188	4	}	}	PUNCT
bracis-33548	188	5	\right	\right	NOUN
bracis-33548	188	6	]	]	PUNCT
bracis-33548	188	7	,	,	PUNCT
bracis-33548	188	8	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	188	9	(	(	PUNCT
bracis-33548	188	10	9	9	NUM
bracis-33548	188	11	)	)	PUNCT
bracis-33548	188	12	in	in	ADP
bracis-33548	188	13	which	which	PRON
bracis-33548	188	14	\(p_{e}(s_{o	\(p_{e}(s_{o	NUM
bracis-33548	188	15	}	}	PUNCT
bracis-33548	188	16	,	,	PUNCT
bracis-33548	188	17	\cdot	\cdot	NOUN
bracis-33548	188	18	)	)	PUNCT
bracis-33548	188	19	\	\	NOUN
bracis-33548	188	20	)	)	PUNCT
bracis-33548	188	21	is	be	AUX
bracis-33548	188	22	an	an	DET
bracis-33548	188	23	exploratory	exploratory	ADJ
bracis-33548	188	24	policy	policy	NOUN
bracis-33548	188	25	with	with	ADP
bracis-33548	188	26	full	full	ADJ
bracis-33548	188	27	support	support	NOUN
bracis-33548	188	28	over	over	ADP
bracis-33548	188	29	the	the	DET
bracis-33548	188	30	trajectories	trajectory	NOUN
bracis-33548	188	31	on	on	ADP
bracis-33548	188	32	\(\varsigma	\(\varsigma	X
bracis-33548	188	33	_	_	PRON
bracis-33548	188	34	{	{	PUNCT
bracis-33548	188	35	\mathcal	\mathcal	ADJ
bracis-33548	188	36	{	{	PUNCT
bracis-33548	188	37	s}}^{\otimes	s}}^{\otimes	PROPN
bracis-33548	188	38	\le	\le	PROPN
bracis-33548	188	39	n}\	n}\	NUM
bracis-33548	188	40	)	)	PUNCT
bracis-33548	188	41	starting	start	VERB
bracis-33548	188	42	at	at	ADP
bracis-33548	188	43	\(s_{o}\	\(s_{o}\	PROPN
bracis-33548	188	44	)	)	PUNCT
bracis-33548	188	45	and	and	CCONJ
bracis-33548	188	46	we	we	PRON
bracis-33548	188	47	use	use	VERB
bracis-33548	188	48	x	x	PUNCT
bracis-33548	188	49	(	(	PUNCT
bracis-33548	188	50	resp	resp	NOUN
bracis-33548	188	51	.	.	PUNCT
bracis-33548	189	1	\(x'\	\(x'\	PROPN
bracis-33548	189	2	)	)	PUNCT
bracis-33548	189	3	)	)	PUNCT
bracis-33548	190	1	to	to	PART
bracis-33548	190	2	denote	denote	VERB
bracis-33548	190	3	the	the	DET
bracis-33548	190	4	unique	unique	ADJ
bracis-33548	190	5	terminal	terminal	ADJ
bracis-33548	190	6	state	state	NOUN
bracis-33548	190	7	within	within	ADP
bracis-33548	190	8	\(\tau	\(\tau	PROPN
bracis-33548	190	9	\	\	NUM
bracis-33548	190	10	)	)	PUNCT
bracis-33548	190	11	(	(	PUNCT
bracis-33548	190	12	resp	resp	NOUN
bracis-33548	190	13	.	.	PUNCT
bracis-33548	191	1	\(\tau	\(\tau	PROPN
bracis-33548	192	1	'	'	PUNCT
bracis-33548	192	2	\	\	PROPN
bracis-33548	192	3	)	)	PUNCT
bracis-33548	192	4	)	)	PUNCT
bracis-33548	192	5	.	.	PUNCT
bracis-33548	193	1	then	then	ADV
bracis-33548	193	2	,	,	PUNCT
bracis-33548	193	3	if	if	SCONJ
bracis-33548	193	4	\(\mathcal	\(\mathcal	ADJ
bracis-33548	193	5	{	{	PUNCT
bracis-33548	193	6	l}_{cb}(\theta	l}_{cb}(\theta	NOUN
bracis-33548	193	7	^{\star	^{\star	NUM
bracis-33548	193	8	}	}	PUNCT
bracis-33548	193	9	)	)	PUNCT
bracis-33548	193	10	=	=	SYM
bracis-33548	193	11	0\	0\	PROPN
bracis-33548	193	12	)	)	PUNCT
bracis-33548	193	13	,	,	PUNCT
bracis-33548	193	14	the	the	DET
bracis-33548	193	15	gflownet	gflownet	NOUN
bracis-33548	193	16	parameterized	parameterize	VERB
bracis-33548	193	17	by	by	ADP
bracis-33548	193	18	\(\theta	\(\theta	NOUN
bracis-33548	193	19	^{\star	^{\star	NUM
bracis-33548	193	20	}	}	PUNCT
bracis-33548	193	21	\	\	NOUN
bracis-33548	193	22	)	)	PUNCT
bracis-33548	193	23	abides	abide	VERB
bracis-33548	193	24	by	by	ADP
bracis-33548	193	25	eq	eq	PROPN
bracis-33548	193	26	.	.	PROPN
bracis-33548	193	27	 	 	SPACE
bracis-33548	193	28	(	(	PUNCT
bracis-33548	193	29	8)	8)	NUM
bracis-33548	193	30	and	and	CCONJ
bracis-33548	193	31	samples	sample	NOUN
bracis-33548	193	32	correctly	correctly	ADV
bracis-33548	193	33	from	from	ADP
bracis-33548	193	34	the	the	DET
bracis-33548	193	35	target	target	NOUN
bracis-33548	193	36	.	.	PUNCT
bracis-33548	194	1	intuitively	intuitively	ADV
bracis-33548	194	2	,	,	PUNCT
bracis-33548	194	3	the	the	DET
bracis-33548	194	4	condition	condition	NOUN
bracis-33548	194	5	\(\mathcal	\(\mathcal	ADJ
bracis-33548	194	6	{	{	PUNCT
bracis-33548	194	7	l}_{cb}(\theta	l}_{cb}(\theta	NOUN
bracis-33548	194	8	)	)	PUNCT
bracis-33548	194	9	=	=	SYM
bracis-33548	194	10	0\	0\	PROPN
bracis-33548	194	11	)	)	PUNCT
bracis-33548	194	12	ensures	ensure	VERB
bracis-33548	194	13	that	that	SCONJ
bracis-33548	194	14	the	the	DET
bracis-33548	194	15	quotients	quotients	PROPN
bracis-33548	194	16	\(\beta	\(\beta	PROPN
bracis-33548	194	17	(	(	PUNCT
bracis-33548	194	18	\tau	\tau	PROPN
bracis-33548	194	19	)	)	PUNCT
bracis-33548	194	20	\	\	PROPN
bracis-33548	194	21	)	)	PUNCT
bracis-33548	194	22	defined	define	VERB
bracis-33548	194	23	in	in	ADP
bracis-33548	194	24	sect	sect	NOUN
bracis-33548	194	25	.	.	PUNCT
bracis-33548	194	26	 	 	SPACE
bracis-33548	195	1	3.1	3.1	NUM
bracis-33548	195	2	are	be	AUX
bracis-33548	195	3	constant	constant	ADJ
bracis-33548	195	4	\(\kappa	\(\kappa	PROPN
bracis-33548	195	5	(	(	PUNCT
bracis-33548	195	6	s_{o	s_{o	PROPN
bracis-33548	195	7	}	}	PUNCT
bracis-33548	195	8	,	,	PUNCT
bracis-33548	195	9	\cdot	\cdot	NOUN
bracis-33548	195	10	)	)	PUNCT
bracis-33548	195	11	\)-almost	\)-almost	NUM
bracis-33548	195	12	everywhere	everywhere	ADV
bracis-33548	195	13	,	,	PUNCT
bracis-33548	195	14	which	which	PRON
bracis-33548	195	15	then	then	ADV
bracis-33548	195	16	implies	imply	VERB
bracis-33548	195	17	theorem	theorem	VERB
bracis-33548	195	18	 	 	SPACE
bracis-33548	195	19	1	1	NUM
bracis-33548	195	20	and	and	CCONJ
bracis-33548	195	21	ultimately	ultimately	ADV
bracis-33548	195	22	guarantees	guarantee	VERB
bracis-33548	195	23	gflownet	gflownet	NOUN
bracis-33548	195	24	’s	’s	PART
bracis-33548	195	25	distributional	distributional	ADJ
bracis-33548	195	26	correctness	correctness	NOUN
bracis-33548	195	27	.	.	PUNCT
bracis-33548	196	1	algorithm	algorithm	NOUN
bracis-33548	196	2	1	1	NUM
bracis-33548	196	3	contrastive	contrastive	ADJ
bracis-33548	196	4	learning	learning	NOUN
bracis-33548	196	5	of	of	ADP
bracis-33548	196	6	gflownets	gflownet	NOUN
bracis-33548	196	7	full	full	ADJ
bracis-33548	196	8	size	size	NOUN
bracis-33548	196	9	image	image	NOUN
bracis-33548	196	10	algorithm	algorithm	NOUN
bracis-33548	196	11	.	.	PUNCT
bracis-33548	197	1	algorithm	algorithm	NOUN
bracis-33548	197	2	 	 	SPACE
bracis-33548	197	3	1	1	NUM
bracis-33548	197	4	illustrates	illustrate	VERB
bracis-33548	197	5	the	the	DET
bracis-33548	197	6	training	training	NOUN
bracis-33548	197	7	of	of	ADP
bracis-33548	197	8	gflownets	gflownet	NOUN
bracis-33548	197	9	through	through	ADP
bracis-33548	197	10	the	the	DET
bracis-33548	197	11	minimization	minimization	NOUN
bracis-33548	197	12	of	of	ADP
bracis-33548	197	13	the	the	DET
bracis-33548	197	14	ccl	ccl	PROPN
bracis-33548	197	15	.	.	PUNCT
bracis-33548	198	1	in	in	ADP
bracis-33548	198	2	practice	practice	NOUN
bracis-33548	198	3	,	,	PUNCT
bracis-33548	198	4	both	both	CCONJ
bracis-33548	198	5	the	the	DET
bracis-33548	198	6	sampling	sampling	NOUN
bracis-33548	198	7	and	and	CCONJ
bracis-33548	198	8	neural	neural	ADJ
bracis-33548	198	9	network	network	NOUN
bracis-33548	198	10	forward	forward	ADV
bracis-33548	198	11	passes	pass	VERB
bracis-33548	198	12	can	can	AUX
bracis-33548	198	13	be	be	AUX
bracis-33548	198	14	massively	massively	ADV
bracis-33548	198	15	parallelized	parallelize	VERB
bracis-33548	198	16	.	.	PUNCT
bracis-33548	199	1	also	also	ADV
bracis-33548	199	2	,	,	PUNCT
bracis-33548	199	3	for	for	ADP
bracis-33548	199	4	the	the	DET
bracis-33548	199	5	optimization	optimization	NOUN
bracis-33548	199	6	step	step	NOUN
bracis-33548	199	7	,	,	PUNCT
bracis-33548	199	8	we	we	PRON
bracis-33548	199	9	use	use	VERB
bracis-33548	199	10	adam	adam	PROPN
bracis-33548	200	1	[	[	X
bracis-33548	200	2	12	12	NUM
bracis-33548	200	3	]	]	PUNCT
bracis-33548	200	4	to	to	PART
bracis-33548	200	5	estimate	estimate	VERB
bracis-33548	200	6	the	the	DET
bracis-33548	200	7	stochastic	stochastic	ADJ
bracis-33548	200	8	gradients	gradient	NOUN
bracis-33548	200	9	.	.	PUNCT
bracis-33548	201	1	importantly	importantly	ADV
bracis-33548	201	2	,	,	PUNCT
bracis-33548	201	3	the	the	DET
bracis-33548	201	4	architecture	architecture	NOUN
bracis-33548	201	5	of	of	ADP
bracis-33548	201	6	the	the	DET
bracis-33548	201	7	parameterizing	parameterizing	NOUN
bracis-33548	201	8	neural	neural	ADJ
bracis-33548	201	9	network	network	NOUN
bracis-33548	201	10	with	with	ADP
bracis-33548	201	11	weights	weight	NOUN
bracis-33548	201	12	\(\theta	\(\theta	NOUN
bracis-33548	201	13	\	\	NOUN
bracis-33548	201	14	)	)	PUNCT
bracis-33548	201	15	and	and	CCONJ
bracis-33548	201	16	the	the	DET
bracis-33548	201	17	nature	nature	NOUN
bracis-33548	201	18	of	of	ADP
bracis-33548	201	19	exploratory	exploratory	ADJ
bracis-33548	201	20	policy	policy	NOUN
bracis-33548	201	21	\(p_{e}\	\(p_{e}\	PUNCT
bracis-33548	201	22	)	)	PUNCT
bracis-33548	201	23	are	be	AUX
bracis-33548	201	24	very	very	ADV
bracis-33548	201	25	problem	problem	NOUN
bracis-33548	201	26	-	-	PUNCT
bracis-33548	201	27	dependent	dependent	ADJ
bracis-33548	201	28	and	and	CCONJ
bracis-33548	201	29	are	be	AUX
bracis-33548	201	30	abstracted	abstract	VERB
bracis-33548	201	31	away	away	ADV
bracis-33548	201	32	from	from	ADP
bracis-33548	201	33	algorithm	algorithm	NOUN
bracis-33548	201	34	 	 	SPACE
bracis-33548	201	35	1	1	NUM
bracis-33548	201	36	;	;	PUNCT
bracis-33548	201	37	we	we	PRON
bracis-33548	201	38	provide	provide	VERB
bracis-33548	201	39	some	some	DET
bracis-33548	201	40	examples	example	NOUN
bracis-33548	201	41	in	in	ADP
bracis-33548	201	42	the	the	DET
bracis-33548	201	43	next	next	ADJ
bracis-33548	201	44	section	section	NOUN
bracis-33548	201	45	.	.	PUNCT
bracis-33548	202	1	connection	connection	NOUN
bracis-33548	202	2	to	to	ADP
bracis-33548	202	3	other	other	ADJ
bracis-33548	202	4	losses	loss	NOUN
bracis-33548	202	5	.	.	PUNCT
bracis-33548	203	1	to	to	PART
bracis-33548	203	2	conclude	conclude	VERB
bracis-33548	203	3	,	,	PUNCT
bracis-33548	203	4	we	we	PRON
bracis-33548	203	5	remark	remark	VERB
bracis-33548	203	6	that	that	SCONJ
bracis-33548	203	7	the	the	DET
bracis-33548	203	8	cb	cb	PROPN
bracis-33548	203	9	loss	loss	NOUN
bracis-33548	203	10	is	be	AUX
bracis-33548	203	11	tightly	tightly	ADV
bracis-33548	203	12	connected	connect	VERB
bracis-33548	203	13	to	to	ADP
bracis-33548	203	14	the	the	DET
bracis-33548	203	15	variance	variance	NOUN
bracis-33548	203	16	loss	loss	NOUN
bracis-33548	203	17	for	for	ADP
bracis-33548	203	18	variational	variational	ADJ
bracis-33548	203	19	inference	inference	NOUN
bracis-33548	203	20	[	[	X
bracis-33548	203	21	20	20	NUM
bracis-33548	203	22	,	,	PUNCT
bracis-33548	203	23	26	26	NUM
bracis-33548	203	24	]	]	PUNCT
bracis-33548	203	25	;	;	PUNCT
bracis-33548	203	26	indeed	indeed	ADV
bracis-33548	203	27	,	,	PUNCT
bracis-33548	203	28	it	it	PRON
bracis-33548	203	29	is	be	AUX
bracis-33548	203	30	well	well	ADV
bracis-33548	203	31	known	know	VERB
bracis-33548	203	32	that	that	SCONJ
bracis-33548	203	33	the	the	DET
bracis-33548	203	34	expectation	expectation	NOUN
bracis-33548	203	35	of	of	ADP
bracis-33548	203	36	the	the	DET
bracis-33548	203	37	squared	square	VERB
bracis-33548	203	38	-	-	PUNCT
bracis-33548	203	39	difference	difference	NOUN
bracis-33548	203	40	between	between	ADP
bracis-33548	203	41	two	two	NUM
bracis-33548	203	42	independently	independently	ADV
bracis-33548	203	43	sampled	sample	VERB
bracis-33548	203	44	variables	variable	NOUN
bracis-33548	203	45	equal	equal	VERB
bracis-33548	203	46	their	their	PRON
bracis-33548	203	47	variance	variance	NOUN
bracis-33548	203	48	,	,	PUNCT
bracis-33548	203	49	i.e.	i.e.	X
bracis-33548	203	50	,	,	PUNCT
bracis-33548	203	51	\(\mathbb	\(\mathbb	X
bracis-33548	203	52	{	{	PUNCT
bracis-33548	203	53	e}_{\tau	e}_{\tau	ADV
bracis-33548	203	54	,	,	PUNCT
bracis-33548	203	55	\tau	\tau	PROPN
bracis-33548	203	56	'	'	PUNCT
bracis-33548	203	57	}	}	PUNCT
bracis-33548	204	1	[	[	X
bracis-33548	204	2	(	(	PUNCT
bracis-33548	204	3	\beta	\beta	PROPN
bracis-33548	204	4	(	(	PUNCT
bracis-33548	204	5	\tau	\tau	PROPN
bracis-33548	204	6	)	)	PUNCT
bracis-33548	204	7	\beta	\beta	PROPN
bracis-33548	204	8	(	(	PUNCT
bracis-33548	204	9	\tau	\tau	PROPN
bracis-33548	204	10	'	'	NUM
bracis-33548	204	11	)	)	PUNCT
bracis-33548	204	12	)	)	PUNCT
bracis-33548	204	13	^{2	^{2	NOUN
bracis-33548	204	14	}	}	PUNCT
bracis-33548	204	15	]	]	PUNCT
bracis-33548	204	16	=	=	PUNCT
bracis-33548	204	17	\text	\text	X
bracis-33548	204	18	{	{	PUNCT
bracis-33548	204	19	var}_{\tau	var}_{\tau	NOUN
bracis-33548	204	20	}	}	PUNCT
bracis-33548	205	1	[	[	X
bracis-33548	205	2	\beta	\beta	PROPN
bracis-33548	205	3	(	(	PUNCT
bracis-33548	205	4	\tau	\tau	PROPN
bracis-33548	205	5	)	)	PUNCT
bracis-33548	205	6	]	]	PUNCT
bracis-33548	205	7	\	\	NOUN
bracis-33548	205	8	)	)	PUNCT
bracis-33548	205	9	.	.	PUNCT
bracis-33548	205	10	4	4	NUM
bracis-33548	205	11	experiments	experiment	NOUN
bracis-33548	205	12	this	this	DET
bracis-33548	205	13	section	section	NOUN
bracis-33548	205	14	shows	show	VERB
bracis-33548	205	15	that	that	SCONJ
bracis-33548	205	16	the	the	DET
bracis-33548	205	17	ccl	ccl	PROPN
bracis-33548	205	18	is	be	AUX
bracis-33548	205	19	a	a	DET
bracis-33548	205	20	sound	sound	ADJ
bracis-33548	205	21	and	and	CCONJ
bracis-33548	205	22	effective	effective	ADJ
bracis-33548	205	23	learning	learn	VERB
bracis-33548	205	24	objective	objective	NOUN
bracis-33548	205	25	for	for	ADP
bracis-33548	205	26	continuous	continuous	ADJ
bracis-33548	205	27	gflownets	gflownet	NOUN
bracis-33548	205	28	in	in	ADP
bracis-33548	205	29	varied	varied	ADJ
bracis-33548	205	30	experimental	experimental	ADJ
bracis-33548	205	31	setups	setup	NOUN
bracis-33548	205	32	,	,	PUNCT
bracis-33548	205	33	which	which	PRON
bracis-33548	205	34	are	be	AUX
bracis-33548	205	35	described	describe	VERB
bracis-33548	205	36	below	below	ADP
bracis-33548	205	37	.	.	PUNCT
bracis-33548	206	1	tasks	task	NOUN
bracis-33548	206	2	.	.	PUNCT
bracis-33548	207	1	we	we	PRON
bracis-33548	207	2	underline	underline	VERB
bracis-33548	207	3	the	the	DET
bracis-33548	207	4	effectiveness	effectiveness	NOUN
bracis-33548	207	5	of	of	ADP
bracis-33548	207	6	the	the	DET
bracis-33548	207	7	cb	cb	PROPN
bracis-33548	207	8	loss	loss	NOUN
bracis-33548	207	9	in	in	ADP
bracis-33548	207	10	the	the	DET
bracis-33548	207	11	tasks	task	NOUN
bracis-33548	207	12	of	of	ADP
bracis-33548	207	13	sampling	sample	VERB
bracis-33548	207	14	from	from	ADP
bracis-33548	207	15	a	a	DET
bracis-33548	207	16	mixture	mixture	NOUN
bracis-33548	207	17	of	of	ADP
bracis-33548	207	18	gaussian	gaussian	ADJ
bracis-33548	207	19	distributions	distribution	NOUN
bracis-33548	207	20	(	(	PUNCT
bracis-33548	207	21	gm	gm	PROPN
bracis-33548	207	22	)	)	PUNCT
bracis-33548	208	1	[	[	X
bracis-33548	208	2	28	28	NUM
bracis-33548	208	3	]	]	PUNCT
bracis-33548	208	4	and	and	CCONJ
bracis-33548	208	5	of	of	ADP
bracis-33548	208	6	a	a	DET
bracis-33548	208	7	banana	banana	NOUN
bracis-33548	208	8	-	-	PUNCT
bracis-33548	208	9	shaped	shape	VERB
bracis-33548	208	10	distribution	distribution	NOUN
bracis-33548	208	11	(	(	PUNCT
bracis-33548	208	12	bs	bs	NOUN
bracis-33548	208	13	)	)	PUNCT
bracis-33548	209	1	[	[	X
bracis-33548	209	2	16	16	NUM
bracis-33548	209	3	]	]	X
bracis-33548	209	4	,	,	PUNCT
bracis-33548	209	5	which	which	PRON
bracis-33548	209	6	are	be	AUX
bracis-33548	209	7	commonly	commonly	ADV
bracis-33548	209	8	implemented	implement	VERB
bracis-33548	209	9	benchmark	benchmark	NOUN
bracis-33548	209	10	models	model	NOUN
bracis-33548	209	11	respectively	respectively	ADV
bracis-33548	209	12	for	for	ADP
bracis-33548	209	13	continuous	continuous	ADJ
bracis-33548	209	14	gflownets	gflownet	NOUN
bracis-33548	209	15	and	and	CCONJ
bracis-33548	209	16	variational	variational	ADJ
bracis-33548	209	17	inference	inference	NOUN
bracis-33548	209	18	algorithms	algorithm	NOUN
bracis-33548	209	19	in	in	ADP
bracis-33548	209	20	general	general	ADJ
bracis-33548	209	21	.	.	PUNCT
bracis-33548	210	1	for	for	ADP
bracis-33548	210	2	the	the	DET
bracis-33548	210	3	gms	gms	NOUN
bracis-33548	210	4	,	,	PUNCT
bracis-33548	210	5	we	we	PRON
bracis-33548	210	6	evaluate	evaluate	VERB
bracis-33548	210	7	gflownet	gflownet	NOUN
bracis-33548	210	8	’s	’s	PART
bracis-33548	210	9	performance	performance	NOUN
bracis-33548	210	10	for	for	ADP
bracis-33548	210	11	a	a	DET
bracis-33548	210	12	sparse	sparse	ADJ
bracis-33548	210	13	2	2	NUM
bracis-33548	210	14	-	-	PUNCT
bracis-33548	210	15	dimensional	dimensional	ADJ
bracis-33548	210	16	model	model	NOUN
bracis-33548	210	17	and	and	CCONJ
bracis-33548	210	18	a	a	DET
bracis-33548	210	19	15	15	NUM
bracis-33548	210	20	-	-	PUNCT
bracis-33548	210	21	dimensional	dimensional	ADJ
bracis-33548	210	22	model	model	NOUN
bracis-33548	210	23	,	,	PUNCT
bracis-33548	210	24	both	both	CCONJ
bracis-33548	210	25	with	with	ADP
bracis-33548	210	26	isotropic	isotropic	ADJ
bracis-33548	210	27	variances	variance	NOUN
bracis-33548	210	28	.	.	PUNCT
bracis-33548	211	1	for	for	ADP
bracis-33548	211	2	the	the	DET
bracis-33548	211	3	bs	bs	ADJ
bracis-33548	211	4	distribution	distribution	NOUN
bracis-33548	211	5	,	,	PUNCT
bracis-33548	211	6	we	we	PRON
bracis-33548	211	7	consider	consider	VERB
bracis-33548	211	8	the	the	DET
bracis-33548	211	9	target	target	NOUN
bracis-33548	211	10	distribution	distribution	NOUN
bracis-33548	211	11	$	$	SYM
bracis-33548	211	12	$	$	SYM
bracis-33548	211	13	\begin{aligned	\begin{aligne	VERB
bracis-33548	211	14	}	}	PUNCT
bracis-33548	211	15	\mathbb	\mathbb	ADP
bracis-33548	211	16	{	{	PUNCT
bracis-33548	211	17	r}^{2	r}^{2	ADJ
bracis-33548	211	18	}	}	PUNCT
bracis-33548	211	19	\ni	\ni	PROPN
bracis-33548	211	20	\textbf{x	\textbf{x	PROPN
bracis-33548	211	21	}	}	PUNCT
bracis-33548	211	22	\sim	\sim	PROPN
bracis-33548	211	23	\mathcal	\mathcal	PROPN
bracis-33548	211	24	{	{	PUNCT
bracis-33548	211	25	n}\left	n}\left	PROPN
bracis-33548	211	26	(	(	PUNCT
bracis-33548	211	27	\begin{bmatrix	\begin{bmatrix	ADJ
bracis-33548	211	28	}	}	PUNCT
bracis-33548	211	29	x_{1	x_{1	ADJ
bracis-33548	211	30	}	}	PUNCT
bracis-33548	211	31	\\	\\	NOUN
bracis-33548	211	32	x_{2	x_{2	ADV
bracis-33548	211	33	}	}	PUNCT
bracis-33548	212	1	+	+	CCONJ
bracis-33548	212	2	x_{1}^{2	x_{1}^{2	X
bracis-33548	212	3	}	}	PUNCT
bracis-33548	212	4	+	+	CCONJ
bracis-33548	212	5	1	1	NUM
bracis-33548	212	6	\end{bmatrix	\end{bmatrix	NOUN
bracis-33548	212	7	}	}	PUNCT
bracis-33548	212	8	\bigg	\bigg	ADP
bracis-33548	212	9	|	|	ADV
bracis-33548	212	10	\begin{bmatrix	\begin{bmatrix	VERB
bracis-33548	212	11	}	}	PUNCT
bracis-33548	212	12	0	0	NUM
bracis-33548	212	13	\\	\\	NOUN
bracis-33548	212	14	0	0	NUM
bracis-33548	213	1	\end{bmatrix	\end{bmatrix	NOUN
bracis-33548	213	2	}	}	PUNCT
bracis-33548	213	3	,	,	PUNCT
bracis-33548	213	4	\begin{bmatrix	\begin{bmatrix	CCONJ
bracis-33548	213	5	}	}	PUNCT
bracis-33548	213	6	1	1	NUM
bracis-33548	213	7	&	&	CCONJ
bracis-33548	213	8	0.9	0.9	NUM
bracis-33548	213	9	\\	\\	NOUN
bracis-33548	213	10	0.9	0.9	NUM
bracis-33548	213	11	&	&	CCONJ
bracis-33548	213	12	1	1	NUM
bracis-33548	213	13	\end{bmatrix}\right	\end{bmatrix}\right	PROPN
bracis-33548	213	14	)	)	PUNCT
bracis-33548	213	15	.	.	PUNCT
bracis-33548	214	1	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-33548	214	2	(	(	PUNCT
bracis-33548	214	3	10	10	NUM
bracis-33548	214	4	)	)	PUNCT
bracis-33548	214	5	experimental	experimental	ADJ
bracis-33548	214	6	setup	setup	NOUN
bracis-33548	214	7	.	.	PUNCT
bracis-33548	215	1	for	for	ADP
bracis-33548	215	2	each	each	DET
bracis-33548	215	3	experiment	experiment	NOUN
bracis-33548	215	4	,	,	PUNCT
bracis-33548	215	5	we	we	PRON
bracis-33548	215	6	consider	consider	VERB
bracis-33548	215	7	the	the	DET
bracis-33548	215	8	iterative	iterative	ADJ
bracis-33548	215	9	generative	generative	ADJ
bracis-33548	215	10	process	process	NOUN
bracis-33548	215	11	described	describe	VERB
bracis-33548	215	12	at	at	ADP
bracis-33548	215	13	the	the	DET
bracis-33548	215	14	end	end	NOUN
bracis-33548	215	15	of	of	ADP
bracis-33548	215	16	sect	sect	NOUN
bracis-33548	215	17	.	.	PUNCT
bracis-33548	215	18	 	 	SPACE
bracis-33548	216	1	2.2	2.2	NUM
bracis-33548	216	2	.	.	PUNCT
bracis-33548	216	3	to	to	PART
bracis-33548	216	4	parameterize	parameterize	VERB
bracis-33548	216	5	\(q_{\theta	\(q_{\theta	PRON
bracis-33548	216	6	}	}	PUNCT
bracis-33548	216	7	\	\	PROPN
bracis-33548	216	8	)	)	PUNCT
bracis-33548	216	9	,	,	PUNCT
bracis-33548	216	10	which	which	PRON
bracis-33548	216	11	is	be	AUX
bracis-33548	216	12	here	here	ADV
bracis-33548	216	13	defined	define	VERB
bracis-33548	216	14	as	as	ADP
bracis-33548	216	15	a	a	DET
bracis-33548	216	16	gaussian	gaussian	ADJ
bracis-33548	216	17	mixture	mixture	NOUN
bracis-33548	216	18	distribution	distribution	NOUN
bracis-33548	216	19	,	,	PUNCT
bracis-33548	216	20	we	we	PRON
bracis-33548	216	21	employ	employ	VERB
bracis-33548	216	22	an	an	DET
bracis-33548	216	23	mlp	mlp	NOUN
bracis-33548	216	24	with	with	ADP
bracis-33548	216	25	2	2	NUM
bracis-33548	216	26	64	64	NUM
bracis-33548	216	27	-	-	PUNCT
bracis-33548	216	28	dimensional	dimensional	ADJ
bracis-33548	216	29	layers	layer	NOUN
bracis-33548	216	30	that	that	PRON
bracis-33548	216	31	receives	receive	VERB
bracis-33548	216	32	the	the	DET
bracis-33548	216	33	current	current	ADJ
bracis-33548	216	34	state	state	NOUN
bracis-33548	216	35	as	as	ADP
bracis-33548	216	36	an	an	DET
bracis-33548	216	37	input	input	NOUN
bracis-33548	216	38	and	and	CCONJ
bracis-33548	216	39	return	return	VERB
bracis-33548	216	40	the	the	DET
bracis-33548	216	41	log	log	NOUN
bracis-33548	216	42	-	-	PUNCT
bracis-33548	216	43	weights	weight	NOUN
bracis-33548	216	44	,	,	PUNCT
bracis-33548	216	45	averages	average	NOUN
bracis-33548	216	46	,	,	PUNCT
bracis-33548	216	47	and	and	CCONJ
bracis-33548	216	48	log	log	NOUN
bracis-33548	216	49	-	-	PUNCT
bracis-33548	216	50	variances	variance	NOUN
bracis-33548	216	51	of	of	ADP
bracis-33548	216	52	the	the	DET
bracis-33548	216	53	mixture	mixture	NOUN
bracis-33548	216	54	.	.	PUNCT
bracis-33548	217	1	in	in	ADP
bracis-33548	217	2	algorithm	algorithm	PROPN
bracis-33548	217	3	 	 	SPACE
bracis-33548	217	4	1	1	NUM
bracis-33548	217	5	,	,	PUNCT
bracis-33548	217	6	we	we	PRON
bracis-33548	217	7	fix	fix	VERB
bracis-33548	217	8	a	a	DET
bracis-33548	217	9	batch	batch	NOUN
bracis-33548	217	10	size	size	NOUN
bracis-33548	217	11	of	of	ADP
bracis-33548	217	12	128	128	NUM
bracis-33548	217	13	and	and	CCONJ
bracis-33548	217	14	use	use	VERB
bracis-33548	217	15	adam	adam	NOUN
bracis-33548	217	16	with	with	ADP
bracis-33548	217	17	a	a	DET
bracis-33548	217	18	linearly	linearly	ADV
bracis-33548	217	19	decaying	decay	VERB
bracis-33548	217	20	learning	learning	NOUN
bracis-33548	217	21	rate	rate	NOUN
bracis-33548	217	22	of	of	ADP
bracis-33548	217	23	\(10^{-3}\	\(10^{-3}\	NOUN
bracis-33548	217	24	)	)	PUNCT
bracis-33548	217	25	for	for	ADP
bracis-33548	217	26	optimization	optimization	NOUN
bracis-33548	217	27	.	.	PUNCT
bracis-33548	218	1	however	however	ADV
bracis-33548	218	2	,	,	PUNCT
bracis-33548	218	3	when	when	SCONJ
bracis-33548	218	4	minimizing	minimize	VERB
bracis-33548	218	5	the	the	DET
bracis-33548	218	6	tb	tb	NOUN
bracis-33548	218	7	loss	loss	NOUN
bracis-33548	218	8	,	,	PUNCT
bracis-33548	218	9	we	we	PRON
bracis-33548	218	10	adopt	adopt	VERB
bracis-33548	218	11	malkin	malkin	PROPN
bracis-33548	218	12	et	et	PROPN
bracis-33548	218	13	al	al	PROPN
bracis-33548	218	14	.	.	PROPN
bracis-33548	218	15	’s	’s	PART
bracis-33548	219	1	[	[	X
bracis-33548	219	2	14	14	NUM
bracis-33548	219	3	]	]	PUNCT
bracis-33548	219	4	suggestion	suggestion	NOUN
bracis-33548	219	5	to	to	PART
bracis-33548	219	6	implement	implement	VERB
bracis-33548	219	7	a	a	DET
bracis-33548	219	8	fixed	fix	VERB
bracis-33548	219	9	learning	learning	NOUN
bracis-33548	219	10	rate	rate	NOUN
bracis-33548	219	11	of	of	ADP
bracis-33548	219	12	\(10^{-1}\	\(10^{-1}\	NUM
bracis-33548	219	13	)	)	PUNCT
bracis-33548	219	14	for	for	ADP
bracis-33548	219	15	\(\log	\(\log	NOUN
bracis-33548	219	16	z(\gamma	z(\gamma	PROPN
bracis-33548	219	17	)	)	PUNCT
bracis-33548	219	18	\	\	PROPN
bracis-33548	219	19	)	)	PUNCT
bracis-33548	219	20	.	.	PUNCT
bracis-33548	220	1	code	code	NOUN
bracis-33548	220	2	for	for	ADP
bracis-33548	220	3	reproducing	reproduce	VERB
bracis-33548	220	4	the	the	DET
bracis-33548	220	5	results	result	NOUN
bracis-33548	220	6	will	will	AUX
bracis-33548	220	7	be	be	AUX
bracis-33548	220	8	released	release	VERB
bracis-33548	220	9	upon	upon	SCONJ
bracis-33548	220	10	acceptance	acceptance	NOUN
bracis-33548	220	11	.	.	PUNCT
bracis-33548	221	1	fig	fig	NOUN
bracis-33548	221	2	.	.	PUNCT
bracis-33548	222	1	1	1	X
bracis-33548	222	2	.	.	X
bracis-33548	222	3	minimizing	minimize	VERB
bracis-33548	222	4	the	the	DET
bracis-33548	222	5	cb	cb	PROPN
bracis-33548	222	6	loss	loss	PROPN
bracis-33548	222	7	(	(	PUNCT
bracis-33548	222	8	bottom	bottom	NOUN
bracis-33548	222	9	row	row	NOUN
bracis-33548	222	10	)	)	PUNCT
bracis-33548	222	11	drastically	drastically	ADV
bracis-33548	222	12	improves	improve	VERB
bracis-33548	222	13	the	the	DET
bracis-33548	222	14	training	training	NOUN
bracis-33548	222	15	convergence	convergence	NOUN
bracis-33548	222	16	when	when	SCONJ
bracis-33548	222	17	compared	compare	VERB
bracis-33548	222	18	to	to	ADP
bracis-33548	222	19	tb	tb	ADP
bracis-33548	222	20	minimization	minimization	NOUN
bracis-33548	222	21	(	(	PUNCT
bracis-33548	222	22	top	top	ADJ
bracis-33548	222	23	row	row	NOUN
bracis-33548	222	24	)	)	PUNCT
bracis-33548	222	25	when	when	SCONJ
bracis-33548	222	26	the	the	DET
bracis-33548	222	27	target	target	NOUN
bracis-33548	222	28	is	be	AUX
bracis-33548	222	29	a	a	DET
bracis-33548	222	30	2	2	NUM
bracis-33548	222	31	-	-	PUNCT
bracis-33548	222	32	dimensional	dimensional	ADJ
bracis-33548	222	33	sparse	sparse	ADJ
bracis-33548	222	34	gaussian	gaussian	NOUN
bracis-33548	222	35	mixture	mixture	NOUN
bracis-33548	222	36	(	(	PUNCT
bracis-33548	222	37	see	see	VERB
bracis-33548	222	38	fig	fig	NOUN
bracis-33548	222	39	.	.	PUNCT
bracis-33548	222	40	 	 	SPACE
bracis-33548	222	41	3	3	NUM
bracis-33548	222	42	)	)	PUNCT
bracis-33548	222	43	.	.	PUNCT
bracis-33548	223	1	this	this	PRON
bracis-33548	223	2	corroborates	corroborate	VERB
bracis-33548	223	3	our	our	PRON
bracis-33548	223	4	hypothesis	hypothesis	NOUN
bracis-33548	223	5	that	that	SCONJ
bracis-33548	223	6	avoiding	avoid	VERB
bracis-33548	223	7	parameterizing	parameterize	VERB
bracis-33548	223	8	\(\log	\(\log	NOUN
bracis-33548	223	9	z(\gamma	z(\gamma	PROPN
bracis-33548	223	10	)	)	PUNCT
bracis-33548	223	11	\	\	NOUN
bracis-33548	223	12	)	)	PUNCT
bracis-33548	223	13	facilitates	facilitate	VERB
bracis-33548	223	14	the	the	DET
bracis-33548	223	15	learning	learning	NOUN
bracis-33548	223	16	of	of	ADP
bracis-33548	223	17	gflownets	gflownet	NOUN
bracis-33548	223	18	.	.	PUNCT
bracis-33548	224	1	columns	column	NOUN
bracis-33548	224	2	represent	represent	VERB
bracis-33548	224	3	results	result	NOUN
bracis-33548	224	4	of	of	ADP
bracis-33548	224	5	three	three	NUM
bracis-33548	224	6	randomly	randomly	ADV
bracis-33548	224	7	initialized	initialize	VERB
bracis-33548	224	8	runs	run	NOUN
bracis-33548	224	9	.	.	PUNCT
bracis-33548	225	1	full	full	ADJ
bracis-33548	225	2	size	size	NOUN
bracis-33548	225	3	image	image	NOUN
bracis-33548	225	4	fig	fig	NOUN
bracis-33548	225	5	.	.	PUNCT
bracis-33548	226	1	2	2	X
bracis-33548	226	2	.	.	X
bracis-33548	226	3	cb	cb	NOUN
bracis-33548	226	4	and	and	CCONJ
bracis-33548	226	5	tb	tb	ADP
bracis-33548	226	6	minimization	minimization	NOUN
bracis-33548	226	7	perform	perform	NOUN
bracis-33548	226	8	similarly	similarly	ADV
bracis-33548	226	9	for	for	ADP
bracis-33548	226	10	the	the	DET
bracis-33548	226	11	(	(	PUNCT
bracis-33548	226	12	relatively	relatively	ADV
bracis-33548	226	13	easy	easy	ADJ
bracis-33548	226	14	-	-	PUNCT
bracis-33548	226	15	to	to	ADP
bracis-33548	226	16	-	-	PUNCT
bracis-33548	226	17	approximate	approximate	ADJ
bracis-33548	226	18	)	)	PUNCT
bracis-33548	226	19	banana	banana	NOUN
bracis-33548	226	20	-	-	PUNCT
bracis-33548	226	21	shaped	shape	VERB
bracis-33548	226	22	target	target	NOUN
bracis-33548	226	23	.	.	PUNCT
bracis-33548	227	1	we	we	PRON
bracis-33548	227	2	consider	consider	VERB
bracis-33548	227	3	hmc	hmc	PROPN
bracis-33548	227	4	(	(	PUNCT
bracis-33548	227	5	right	right	ADJ
bracis-33548	227	6	plot	plot	NOUN
bracis-33548	227	7	)	)	PUNCT
bracis-33548	227	8	as	as	ADP
bracis-33548	227	9	a	a	DET
bracis-33548	227	10	gold	gold	NOUN
bracis-33548	227	11	-	-	PUNCT
bracis-33548	227	12	standard	standard	NOUN
bracis-33548	227	13	reference	reference	NOUN
bracis-33548	227	14	for	for	ADP
bracis-33548	227	15	sample	sample	NOUN
bracis-33548	227	16	generation	generation	NOUN
bracis-33548	227	17	due	due	ADP
bracis-33548	227	18	to	to	ADP
bracis-33548	227	19	its	its	PRON
bracis-33548	227	20	accuracy	accuracy	NOUN
bracis-33548	227	21	and	and	CCONJ
bracis-33548	227	22	reliability	reliability	NOUN
bracis-33548	227	23	.	.	PUNCT
bracis-33548	228	1	full	full	ADJ
bracis-33548	228	2	size	size	NOUN
bracis-33548	228	3	image	image	NOUN
bracis-33548	228	4	fig	fig	NOUN
bracis-33548	228	5	.	.	PUNCT
bracis-33548	229	1	3	3	X
bracis-33548	229	2	.	.	X
bracis-33548	229	3	a	a	DET
bracis-33548	229	4	sparse	sparse	ADJ
bracis-33548	229	5	gaussian	gaussian	ADJ
bracis-33548	229	6	mixture	mixture	NOUN
bracis-33548	229	7	.	.	PUNCT
bracis-33548	230	1	full	full	ADJ
bracis-33548	230	2	size	size	NOUN
bracis-33548	230	3	image	image	NOUN
bracis-33548	230	4	results	result	NOUN
bracis-33548	230	5	.	.	PUNCT
bracis-33548	231	1	figure	figure	VERB
bracis-33548	231	2	 	 	SPACE
bracis-33548	231	3	1	1	NUM
bracis-33548	231	4	highlights	highlight	NOUN
bracis-33548	231	5	that	that	PRON
bracis-33548	231	6	a	a	DET
bracis-33548	231	7	gflownet	gflownet	NOUN
bracis-33548	231	8	trained	train	VERB
bracis-33548	231	9	by	by	ADP
bracis-33548	231	10	minimizing	minimize	VERB
bracis-33548	231	11	\(\mathcal	\(\mathcal	ADJ
bracis-33548	231	12	{	{	PUNCT
bracis-33548	231	13	l}_{cb}\	l}_{cb}\	NOUN
bracis-33548	231	14	)	)	PUNCT
bracis-33548	231	15	leads	lead	VERB
bracis-33548	231	16	to	to	ADP
bracis-33548	231	17	a	a	DET
bracis-33548	231	18	substantial	substantial	ADJ
bracis-33548	231	19	improvement	improvement	NOUN
bracis-33548	231	20	in	in	ADP
bracis-33548	231	21	terms	term	NOUN
bracis-33548	231	22	of	of	ADP
bracis-33548	231	23	approximation	approximation	NOUN
bracis-33548	231	24	quality	quality	NOUN
bracis-33548	231	25	when	when	SCONJ
bracis-33548	231	26	compared	compare	VERB
bracis-33548	231	27	to	to	ADP
bracis-33548	231	28	the	the	DET
bracis-33548	231	29	minimization	minimization	NOUN
bracis-33548	231	30	of	of	ADP
bracis-33548	231	31	\(\mathcal	\(\mathcal	ADJ
bracis-33548	231	32	{	{	PUNCT
bracis-33548	231	33	l}_{tb}\	l}_{tb}\	NOUN
bracis-33548	231	34	)	)	PUNCT
bracis-33548	231	35	given	give	VERB
bracis-33548	231	36	a	a	DET
bracis-33548	231	37	fixed	fix	VERB
bracis-33548	231	38	computational	computational	ADJ
bracis-33548	231	39	budget	budget	NOUN
bracis-33548	231	40	and	and	CCONJ
bracis-33548	231	41	a	a	DET
bracis-33548	231	42	sparse	sparse	ADJ
bracis-33548	231	43	target	target	NOUN
bracis-33548	231	44	,	,	PUNCT
bracis-33548	231	45	which	which	PRON
bracis-33548	231	46	is	be	AUX
bracis-33548	231	47	illustrated	illustrate	VERB
bracis-33548	231	48	in	in	ADP
bracis-33548	231	49	fig	fig	NOUN
bracis-33548	231	50	.	.	PUNCT
bracis-33548	231	51	 	 	SPACE
bracis-33548	232	1	3	3	X
bracis-33548	232	2	.	.	PUNCT
bracis-33548	233	1	this	this	PRON
bracis-33548	233	2	validates	validate	VERB
bracis-33548	233	3	our	our	PRON
bracis-33548	233	4	hypothesis	hypothesis	NOUN
bracis-33548	233	5	that	that	SCONJ
bracis-33548	233	6	the	the	DET
bracis-33548	233	7	training	training	NOUN
bracis-33548	233	8	of	of	ADP
bracis-33548	233	9	\(\mathcal	\(\mathcal	ADJ
bracis-33548	233	10	{	{	PUNCT
bracis-33548	233	11	l}_{tb}\	l}_{tb}\	NOUN
bracis-33548	233	12	)	)	PUNCT
bracis-33548	233	13	is	be	AUX
bracis-33548	233	14	significantly	significantly	ADV
bracis-33548	233	15	constrained	constrain	VERB
bracis-33548	233	16	by	by	ADP
bracis-33548	233	17	the	the	DET
bracis-33548	233	18	obligatory	obligatory	ADJ
bracis-33548	233	19	estimation	estimation	NOUN
bracis-33548	233	20	of	of	ADP
bracis-33548	233	21	the	the	DET
bracis-33548	233	22	intractable	intractable	ADJ
bracis-33548	233	23	\(\log	\(\log	NOUN
bracis-33548	233	24	z(\gamma	z(\gamma	PROPN
bracis-33548	233	25	)	)	PUNCT
bracis-33548	233	26	\	\	PROPN
bracis-33548	233	27	)	)	PUNCT
bracis-33548	233	28	.	.	PUNCT
bracis-33548	234	1	for	for	ADP
bracis-33548	234	2	the	the	DET
bracis-33548	234	3	experiments	experiment	NOUN
bracis-33548	234	4	based	base	VERB
bracis-33548	234	5	on	on	ADP
bracis-33548	234	6	the	the	DET
bracis-33548	234	7	high	high	ADV
bracis-33548	234	8	-	-	PUNCT
bracis-33548	234	9	dimensional	dimensional	ADJ
bracis-33548	234	10	gaussian	gaussian	ADJ
bracis-33548	234	11	mixture	mixture	NOUN
bracis-33548	234	12	,	,	PUNCT
bracis-33548	234	13	which	which	PRON
bracis-33548	234	14	can	can	AUX
bracis-33548	234	15	not	not	PART
bracis-33548	234	16	be	be	AUX
bracis-33548	234	17	simply	simply	ADV
bracis-33548	234	18	visualized	visualize	VERB
bracis-33548	234	19	,	,	PUNCT
bracis-33548	234	20	we	we	PRON
bracis-33548	234	21	show	show	VERB
bracis-33548	234	22	in	in	ADP
bracis-33548	234	23	fig	fig	NOUN
bracis-33548	234	24	.	.	PUNCT
bracis-33548	234	25	 	 	SPACE
bracis-33548	234	26	4	4	NUM
bracis-33548	234	27	the	the	DET
bracis-33548	234	28	jensen	jensen	PROPN
bracis-33548	234	29	-	-	PUNCT
bracis-33548	234	30	shannon	shannon	PROPN
bracis-33548	234	31	divergence	divergence	NOUN
bracis-33548	234	32	between	between	ADP
bracis-33548	234	33	the	the	DET
bracis-33548	234	34	learned	learn	VERB
bracis-33548	234	35	distribution	distribution	NOUN
bracis-33548	234	36	q	q	NOUN
bracis-33548	234	37	and	and	CCONJ
bracis-33548	234	38	the	the	DET
bracis-33548	234	39	target	target	NOUN
bracis-33548	234	40	p	p	X
bracis-33548	234	41	,	,	PUNCT
bracis-33548	234	42	$	$	SYM
bracis-33548	234	43	$	$	SYM
bracis-33548	234	44	\begin{aligned	\begin{aligne	VERB
bracis-33548	234	45	}	}	PUNCT
bracis-33548	234	46	\mathcal	\mathcal	ADJ
bracis-33548	234	47	{	{	PUNCT
bracis-33548	234	48	d}_{js}[p	d}_{js}[p	NOUN
bracis-33548	234	49	||	||	NOUN
bracis-33548	235	1	q	q	X
bracis-33548	235	2	]	]	X
bracis-33548	235	3	=	=	SYM
bracis-33548	235	4	\frac{1}{2	\frac{1}{2	PROPN
bracis-33548	235	5	}	}	PUNCT
bracis-33548	235	6	\left	\left	PROPN
bracis-33548	235	7	(	(	PUNCT
bracis-33548	235	8	\mathcal	\mathcal	ADJ
bracis-33548	235	9	{	{	PUNCT
bracis-33548	235	10	d}_{kl}[p	d}_{kl}[p	PROPN
bracis-33548	235	11	||	||	NOUN
bracis-33548	235	12	m	m	VERB
bracis-33548	235	13	]	]	PUNCT
bracis-33548	236	1	+	+	CCONJ
bracis-33548	236	2	\mathcal	\mathcal	PROPN
bracis-33548	236	3	{	{	PUNCT
bracis-33548	236	4	d}_{kl}[q	d}_{kl}[q	PROPN
bracis-33548	236	5	||	||	NOUN
bracis-33548	236	6	m	m	VERB
bracis-33548	236	7	]	]	X
bracis-33548	236	8	\right	\right	PROPN
bracis-33548	236	9	)	)	PUNCT
bracis-33548	236	10	,	,	PUNCT
bracis-33548	236	11	\end{aligned}$$	\end{aligned}$$	X
bracis-33548	236	12	(	(	PUNCT
bracis-33548	236	13	11	11	NUM
bracis-33548	236	14	)	)	PUNCT
bracis-33548	236	15	with	with	ADP
bracis-33548	236	16	\(m	\(m	NOUN
bracis-33548	236	17	:	:	PUNCT
bracis-33548	237	1	=	=	SYM
bracis-33548	237	2	=	=	SYM
bracis-33548	237	3	\nicefrac	\nicefrac	X
bracis-33548	237	4	{	{	PUNCT
bracis-33548	237	5	p	p	X
bracis-33548	237	6	+	+	NUM
bracis-33548	237	7	q}{2}\	q}{2}\	NOUN
bracis-33548	237	8	)	)	PUNCT
bracis-33548	237	9	and	and	CCONJ
bracis-33548	237	10	\(\mathcal	\(\mathcal	ADJ
bracis-33548	237	11	{	{	PUNCT
bracis-33548	237	12	d}_{kl}[p	d}_{kl}[p	NOUN
bracis-33548	237	13	||	||	NOUN
bracis-33548	237	14	m	m	VERB
bracis-33548	237	15	]	]	X
bracis-33548	237	16	=	=	X
bracis-33548	237	17	\mathbb	\mathbb	PROPN
bracis-33548	237	18	{	{	PUNCT
bracis-33548	237	19	e}_{x	e}_{x	PRON
bracis-33548	237	20	\sim	\sim	NOUN
bracis-33548	237	21	p	p	X
bracis-33548	237	22	}	}	PUNCT
bracis-33548	237	23	\left	\left	PROPN
bracis-33548	237	24	[	[	PUNCT
bracis-33548	237	25	\log	\log	PROPN
bracis-33548	237	26	\nicefrac	\nicefrac	PROPN
bracis-33548	237	27	{	{	PUNCT
bracis-33548	237	28	p}{m}\right	p}{m}\right	PROPN
bracis-33548	237	29	]	]	PUNCT
bracis-33548	237	30	\	\	NOUN
bracis-33548	237	31	)	)	PUNCT
bracis-33548	237	32	representing	represent	VERB
bracis-33548	237	33	the	the	DET
bracis-33548	237	34	kullback	kullback	NOUN
bracis-33548	237	35	-	-	PUNCT
bracis-33548	237	36	leibler	leibler	NOUN
bracis-33548	237	37	divergence	divergence	NOUN
bracis-33548	237	38	between	between	ADP
bracis-33548	237	39	p	p	NOUN
bracis-33548	237	40	and	and	CCONJ
bracis-33548	237	41	m.	m.	NOUN
bracis-33548	237	42	importantly	importantly	ADV
bracis-33548	237	43	,	,	PUNCT
bracis-33548	237	44	\(\mathcal	\(\mathcal	ADJ
bracis-33548	237	45	{	{	PUNCT
bracis-33548	237	46	d}_{js}\	d}_{js}\	PROPN
bracis-33548	237	47	)	)	PUNCT
bracis-33548	237	48	is	be	AUX
bracis-33548	237	49	a	a	DET
bracis-33548	237	50	frequently	frequently	ADV
bracis-33548	237	51	implemented	implement	VERB
bracis-33548	237	52	metric	metric	ADJ
bracis-33548	237	53	for	for	ADP
bracis-33548	237	54	assessing	assess	VERB
bracis-33548	237	55	gflownets	gflownet	NOUN
bracis-33548	237	56	[	[	X
bracis-33548	237	57	6	6	NUM
bracis-33548	237	58	,	,	PUNCT
bracis-33548	237	59	13	13	NUM
bracis-33548	237	60	]	]	PUNCT
bracis-33548	237	61	.	.	PUNCT
bracis-33548	238	1	finally	finally	ADV
bracis-33548	238	2	,	,	PUNCT
bracis-33548	238	3	for	for	ADP
bracis-33548	238	4	the	the	DET
bracis-33548	238	5	low	low	ADV
bracis-33548	238	6	-	-	PUNCT
bracis-33548	238	7	dimensional	dimensional	ADJ
bracis-33548	238	8	and	and	CCONJ
bracis-33548	238	9	non	non	ADJ
bracis-33548	238	10	-	-	ADJ
bracis-33548	238	11	sparse	sparse	ADJ
bracis-33548	238	12	targets	target	NOUN
bracis-33548	238	13	,	,	PUNCT
bracis-33548	238	14	the	the	DET
bracis-33548	238	15	training	training	NOUN
bracis-33548	238	16	of	of	ADP
bracis-33548	238	17	gflownets	gflownet	NOUN
bracis-33548	238	18	based	base	VERB
bracis-33548	238	19	on	on	ADP
bracis-33548	238	20	both	both	CCONJ
bracis-33548	238	21	the	the	DET
bracis-33548	238	22	minimization	minimization	NOUN
bracis-33548	238	23	of	of	ADP
bracis-33548	238	24	cb	cb	PROPN
bracis-33548	238	25	and	and	CCONJ
bracis-33548	238	26	tb	tb	AUX
bracis-33548	238	27	yield	yield	VERB
bracis-33548	238	28	similar	similar	ADJ
bracis-33548	238	29	approximations	approximation	NOUN
bracis-33548	238	30	given	give	VERB
bracis-33548	238	31	an	an	DET
bracis-33548	238	32	equivalent	equivalent	ADJ
bracis-33548	238	33	computation	computation	NOUN
bracis-33548	238	34	resources	resource	NOUN
bracis-33548	238	35	,	,	PUNCT
bracis-33548	238	36	as	as	ADP
bracis-33548	238	37	fig	fig	NOUN
bracis-33548	238	38	.	.	PUNCT
bracis-33548	238	39	 	 	SPACE
bracis-33548	238	40	2	2	NUM
bracis-33548	238	41	attests	attest	NOUN
bracis-33548	238	42	,	,	PUNCT
bracis-33548	238	43	which	which	PRON
bracis-33548	238	44	is	be	AUX
bracis-33548	238	45	potentially	potentially	ADV
bracis-33548	238	46	a	a	DET
bracis-33548	238	47	consequence	consequence	NOUN
bracis-33548	238	48	of	of	ADP
bracis-33548	238	49	the	the	DET
bracis-33548	238	50	relative	relative	ADJ
bracis-33548	238	51	simplicity	simplicity	NOUN
bracis-33548	238	52	of	of	ADP
bracis-33548	238	53	the	the	DET
bracis-33548	238	54	target	target	NOUN
bracis-33548	238	55	distribution	distribution	NOUN
bracis-33548	238	56	.	.	PUNCT
bracis-33548	238	57	5	5	NUM
bracis-33548	238	58	related	relate	VERB
bracis-33548	238	59	works	work	NOUN
bracis-33548	238	60	discrete	discrete	ADJ
bracis-33548	238	61	gflownets	gflownet	NOUN
bracis-33548	238	62	.	.	PUNCT
bracis-33548	239	1	gflownets	gflownet	NOUN
bracis-33548	239	2	were	be	AUX
bracis-33548	239	3	originally	originally	ADV
bracis-33548	239	4	conceived	conceive	VERB
bracis-33548	239	5	as	as	ADP
bracis-33548	239	6	a	a	DET
bracis-33548	239	7	reinforcement	reinforcement	NOUN
bracis-33548	239	8	learning	learning	NOUN
bracis-33548	239	9	algorithm	algorithm	NOUN
bracis-33548	239	10	tailored	tailor	VERB
bracis-33548	239	11	to	to	ADP
bracis-33548	239	12	the	the	DET
bracis-33548	239	13	search	search	NOUN
bracis-33548	239	14	of	of	ADP
bracis-33548	239	15	a	a	DET
bracis-33548	239	16	diversity	diversity	NOUN
bracis-33548	239	17	of	of	ADP
bracis-33548	239	18	high	high	ADV
bracis-33548	239	19	-	-	PUNCT
bracis-33548	239	20	valued	value	VERB
bracis-33548	239	21	states	state	NOUN
bracis-33548	239	22	[	[	X
bracis-33548	239	23	2	2	NUM
bracis-33548	239	24	,	,	PUNCT
bracis-33548	239	25	3	3	NUM
bracis-33548	239	26	]	]	PUNCT
bracis-33548	239	27	.	.	PUNCT
bracis-33548	240	1	since	since	SCONJ
bracis-33548	240	2	then	then	ADV
bracis-33548	240	3	,	,	PUNCT
bracis-33548	240	4	this	this	DET
bracis-33548	240	5	family	family	NOUN
bracis-33548	240	6	of	of	ADP
bracis-33548	240	7	models	model	NOUN
bracis-33548	240	8	was	be	AUX
bracis-33548	240	9	successfully	successfully	ADV
bracis-33548	240	10	applied	apply	VERB
bracis-33548	240	11	to	to	ADP
bracis-33548	240	12	bayesian	bayesian	NOUN
bracis-33548	240	13	structure	structure	NOUN
bracis-33548	240	14	learning	learning	NOUN
bracis-33548	240	15	and	and	CCONJ
bracis-33548	240	16	causal	causal	ADJ
bracis-33548	240	17	discovery	discovery	NOUN
bracis-33548	240	18	[	[	X
bracis-33548	240	19	1	1	NUM
bracis-33548	240	20	,	,	PUNCT
bracis-33548	240	21	5	5	NUM
bracis-33548	240	22	,	,	PUNCT
bracis-33548	240	23	6	6	NUM
bracis-33548	240	24	]	]	PUNCT
bracis-33548	240	25	,	,	PUNCT
bracis-33548	240	26	natural	natural	ADJ
bracis-33548	240	27	language	language	NOUN
bracis-33548	240	28	processing	processing	NOUN
bracis-33548	240	29	[	[	X
bracis-33548	240	30	9	9	NUM
bracis-33548	240	31	]	]	PUNCT
bracis-33548	240	32	,	,	PUNCT
bracis-33548	240	33	robust	robust	ADJ
bracis-33548	240	34	scheduling	scheduling	NOUN
bracis-33548	241	1	[	[	X
bracis-33548	241	2	26	26	NUM
bracis-33548	241	3	]	]	PUNCT
bracis-33548	241	4	,	,	PUNCT
bracis-33548	241	5	phylogenetic	phylogenetic	ADJ
bracis-33548	241	6	inference	inference	NOUN
bracis-33548	241	7	[	[	X
bracis-33548	241	8	30	30	NUM
bracis-33548	241	9	]	]	PUNCT
bracis-33548	241	10	,	,	PUNCT
bracis-33548	241	11	and	and	CCONJ
bracis-33548	241	12	probabilistic	probabilistic	ADJ
bracis-33548	241	13	modelling	modelling	NOUN
bracis-33548	241	14	in	in	ADP
bracis-33548	241	15	general	general	ADJ
bracis-33548	241	16	[	[	X
bracis-33548	241	17	10	10	NUM
bracis-33548	241	18	,	,	PUNCT
bracis-33548	241	19	15	15	NUM
bracis-33548	241	20	,	,	PUNCT
bracis-33548	241	21	27	27	NUM
bracis-33548	241	22	,	,	PUNCT
bracis-33548	241	23	29	29	NUM
bracis-33548	241	24	]	]	PUNCT
bracis-33548	241	25	.	.	PUNCT
bracis-33548	242	1	correspondingly	correspondingly	ADV
bracis-33548	242	2	,	,	PUNCT
bracis-33548	242	3	a	a	DET
bracis-33548	242	4	large	large	ADJ
bracis-33548	242	5	effort	effort	NOUN
bracis-33548	242	6	was	be	AUX
bracis-33548	242	7	devoted	devote	VERB
bracis-33548	242	8	to	to	ADP
bracis-33548	242	9	improving	improve	VERB
bracis-33548	242	10	the	the	DET
bracis-33548	242	11	training	training	NOUN
bracis-33548	242	12	convergence	convergence	NOUN
bracis-33548	242	13	of	of	ADP
bracis-33548	242	14	discrete	discrete	ADJ
bracis-33548	242	15	gflownets	gflownet	NOUN
bracis-33548	242	16	[	[	X
bracis-33548	242	17	11	11	NUM
bracis-33548	242	18	,	,	PUNCT
bracis-33548	242	19	14	14	NUM
bracis-33548	242	20	,	,	PUNCT
bracis-33548	242	21	17	17	NUM
bracis-33548	242	22	,	,	PUNCT
bracis-33548	242	23	19	19	NUM
bracis-33548	242	24	,	,	PUNCT
bracis-33548	242	25	25	25	NUM
bracis-33548	242	26	]	]	PUNCT
bracis-33548	242	27	.	.	PUNCT
bracis-33548	243	1	fig	fig	NOUN
bracis-33548	243	2	.	.	PUNCT
bracis-33548	244	1	4	4	X
bracis-33548	244	2	.	.	X
bracis-33548	244	3	learning	learn	VERB
bracis-33548	244	4	curve	curve	NOUN
bracis-33548	244	5	for	for	ADP
bracis-33548	244	6	/	/	PUNCT
bracis-33548	244	7	.	.	PUNCT
bracis-33548	245	1	full	full	ADJ
bracis-33548	245	2	size	size	NOUN
bracis-33548	245	3	image	image	NOUN
bracis-33548	245	4	continuous	continuous	ADJ
bracis-33548	245	5	gflownets	gflownet	NOUN
bracis-33548	245	6	.	.	PUNCT
bracis-33548	246	1	in	in	ADP
bracis-33548	246	2	contrast	contrast	NOUN
bracis-33548	246	3	,	,	PUNCT
bracis-33548	246	4	the	the	DET
bracis-33548	246	5	literature	literature	NOUN
bracis-33548	246	6	on	on	ADP
bracis-33548	246	7	continuous	continuous	ADJ
bracis-33548	246	8	gflownet	gflownet	NOUN
bracis-33548	246	9	,	,	PUNCT
bracis-33548	246	10	introduced	introduce	VERB
bracis-33548	246	11	by	by	ADP
bracis-33548	246	12	lahlou	lahlou	PROPN
bracis-33548	246	13	et	et	PROPN
bracis-33548	246	14	al	al	PROPN
bracis-33548	246	15	.	.	PUNCT
bracis-33548	247	1	[	[	X
bracis-33548	247	2	13	13	NUM
bracis-33548	247	3	]	]	PUNCT
bracis-33548	247	4	,	,	PUNCT
bracis-33548	247	5	is	be	AUX
bracis-33548	247	6	relatively	relatively	ADV
bracis-33548	247	7	thin	thin	ADJ
bracis-33548	247	8	.	.	PUNCT
bracis-33548	248	1	to	to	ADP
bracis-33548	248	2	the	the	DET
bracis-33548	248	3	best	good	ADJ
bracis-33548	248	4	of	of	ADP
bracis-33548	248	5	our	our	PRON
bracis-33548	248	6	knowledge	knowledge	NOUN
bracis-33548	248	7	,	,	PUNCT
bracis-33548	248	8	the	the	DET
bracis-33548	248	9	only	only	ADJ
bracis-33548	248	10	fruitful	fruitful	ADJ
bracis-33548	248	11	application	application	NOUN
bracis-33548	248	12	of	of	ADP
bracis-33548	248	13	these	these	DET
bracis-33548	248	14	models	model	NOUN
bracis-33548	248	15	occurred	occur	VERB
bracis-33548	248	16	recently	recently	ADV
bracis-33548	248	17	in	in	ADP
bracis-33548	248	18	the	the	DET
bracis-33548	248	19	context	context	NOUN
bracis-33548	248	20	of	of	ADP
bracis-33548	248	21	bayesian	bayesian	NOUN
bracis-33548	248	22	structure	structure	NOUN
bracis-33548	248	23	learning	learn	VERB
bracis-33548	248	24	[	[	X
bracis-33548	248	25	6	6	NUM
bracis-33548	248	26	]	]	PUNCT
bracis-33548	248	27	.	.	PUNCT
bracis-33548	249	1	the	the	DET
bracis-33548	249	2	reason	reason	NOUN
bracis-33548	249	3	for	for	ADP
bracis-33548	249	4	this	this	PRON
bracis-33548	249	5	,	,	PUNCT
bracis-33548	249	6	we	we	PRON
bracis-33548	249	7	believe	believe	VERB
bracis-33548	249	8	,	,	PUNCT
bracis-33548	249	9	is	be	AUX
bracis-33548	249	10	the	the	DET
bracis-33548	249	11	difficulty	difficulty	NOUN
bracis-33548	249	12	of	of	ADP
bracis-33548	249	13	efficiently	efficiently	ADV
bracis-33548	249	14	training	train	VERB
bracis-33548	249	15	these	these	DET
bracis-33548	249	16	models	model	NOUN
bracis-33548	249	17	.	.	PUNCT
bracis-33548	250	1	indeed	indeed	ADV
bracis-33548	250	2	,	,	PUNCT
bracis-33548	250	3	zhou	zhou	PROPN
bracis-33548	250	4	et	et	PROPN
bracis-33548	250	5	al	al	PROPN
bracis-33548	250	6	.	.	PUNCT
bracis-33548	251	1	[	[	X
bracis-33548	251	2	30	30	NUM
bracis-33548	251	3	]	]	PUNCT
bracis-33548	251	4	discretized	discretize	VERB
bracis-33548	251	5	the	the	DET
bracis-33548	251	6	continuous	continuous	ADJ
bracis-33548	251	7	component	component	NOUN
bracis-33548	251	8	of	of	ADP
bracis-33548	251	9	the	the	DET
bracis-33548	251	10	state	state	NOUN
bracis-33548	251	11	space	space	NOUN
bracis-33548	251	12	to	to	PART
bracis-33548	251	13	avoid	avoid	VERB
bracis-33548	251	14	training	train	VERB
bracis-33548	251	15	a	a	DET
bracis-33548	251	16	model	model	NOUN
bracis-33548	251	17	to	to	ADP
bracis-33548	251	18	sample	sample	VERB
bracis-33548	251	19	from	from	ADP
bracis-33548	251	20	a	a	DET
bracis-33548	251	21	continuous	continuous	ADJ
bracis-33548	251	22	distribution	distribution	NOUN
bracis-33548	251	23	.	.	PUNCT
bracis-33548	252	1	under	under	ADP
bracis-33548	252	2	these	these	DET
bracis-33548	252	3	conditions	condition	NOUN
bracis-33548	252	4	,	,	PUNCT
bracis-33548	252	5	our	our	PRON
bracis-33548	252	6	work	work	NOUN
bracis-33548	252	7	is	be	AUX
bracis-33548	252	8	an	an	DET
bracis-33548	252	9	important	important	ADJ
bracis-33548	252	10	step	step	NOUN
bracis-33548	252	11	towards	towards	ADP
bracis-33548	252	12	the	the	DET
bracis-33548	252	13	improvement	improvement	NOUN
bracis-33548	252	14	the	the	DET
bracis-33548	252	15	usability	usability	NOUN
bracis-33548	252	16	of	of	ADP
bracis-33548	252	17	continuous	continuous	ADJ
bracis-33548	252	18	gflownets	gflownet	NOUN
bracis-33548	252	19	.	.	PUNCT
bracis-33548	253	1	6	6	NUM
bracis-33548	253	2	conclusions	conclusion	NOUN
bracis-33548	253	3	we	we	PRON
bracis-33548	253	4	rigorously	rigorously	ADV
bracis-33548	253	5	introduced	introduce	VERB
bracis-33548	253	6	a	a	DET
bracis-33548	253	7	continuous	continuous	ADJ
bracis-33548	253	8	variant	variant	NOUN
bracis-33548	253	9	of	of	ADP
bracis-33548	253	10	the	the	DET
bracis-33548	253	11	contrastive	contrastive	ADJ
bracis-33548	253	12	balance	balance	NOUN
bracis-33548	253	13	condition	condition	NOUN
bracis-33548	253	14	and	and	CCONJ
bracis-33548	253	15	an	an	DET
bracis-33548	253	16	accompanying	accompanying	ADJ
bracis-33548	253	17	continuous	continuous	ADJ
bracis-33548	253	18	contrastive	contrastive	ADJ
bracis-33548	253	19	loss	loss	NOUN
bracis-33548	253	20	for	for	ADP
bracis-33548	253	21	efficiently	efficiently	ADV
bracis-33548	253	22	training	train	VERB
bracis-33548	253	23	gflownets	gflownet	NOUN
bracis-33548	253	24	over	over	ADP
bracis-33548	253	25	distributions	distribution	NOUN
bracis-33548	253	26	supported	support	VERB
bracis-33548	253	27	on	on	ADP
bracis-33548	253	28	discrete	discrete	ADJ
bracis-33548	253	29	,	,	PUNCT
bracis-33548	253	30	continuous	continuous	ADJ
bracis-33548	253	31	,	,	PUNCT
bracis-33548	253	32	and	and	CCONJ
bracis-33548	253	33	mixed	mixed	ADJ
bracis-33548	253	34	spaces	space	NOUN
bracis-33548	253	35	.	.	PUNCT
bracis-33548	254	1	all	all	ADV
bracis-33548	254	2	in	in	ADP
bracis-33548	254	3	all	all	PRON
bracis-33548	254	4	,	,	PUNCT
bracis-33548	254	5	our	our	PRON
bracis-33548	254	6	theoretical	theoretical	ADJ
bracis-33548	254	7	analysis	analysis	NOUN
bracis-33548	254	8	assured	assure	VERB
bracis-33548	254	9	the	the	DET
bracis-33548	254	10	reliability	reliability	NOUN
bracis-33548	254	11	of	of	ADP
bracis-33548	254	12	the	the	DET
bracis-33548	254	13	proposed	propose	VERB
bracis-33548	254	14	learning	learning	NOUN
bracis-33548	254	15	objective	objective	NOUN
bracis-33548	254	16	and	and	CCONJ
bracis-33548	254	17	our	our	PRON
bracis-33548	254	18	empirical	empirical	ADJ
bracis-33548	254	19	results	result	NOUN
bracis-33548	254	20	suggested	suggest	VERB
bracis-33548	254	21	that	that	SCONJ
bracis-33548	254	22	minimizing	minimize	VERB
bracis-33548	254	23	the	the	DET
bracis-33548	254	24	ccl	ccl	PROPN
bracis-33548	254	25	often	often	ADV
bracis-33548	254	26	significantly	significantly	ADV
bracis-33548	254	27	speeds	speed	VERB
bracis-33548	254	28	up	up	ADP
bracis-33548	254	29	the	the	DET
bracis-33548	254	30	model	model	NOUN
bracis-33548	254	31	’s	’s	PART
bracis-33548	254	32	training	training	NOUN
bracis-33548	254	33	convergence	convergence	NOUN
bracis-33548	254	34	.	.	PUNCT
bracis-33548	255	1	yet	yet	ADV
bracis-33548	255	2	,	,	PUNCT
bracis-33548	255	3	the	the	DET
bracis-33548	255	4	training	training	NOUN
bracis-33548	255	5	of	of	ADP
bracis-33548	255	6	continuous	continuous	ADJ
bracis-33548	255	7	gflownet	gflownet	NOUN
bracis-33548	255	8	remains	remain	VERB
bracis-33548	255	9	challenging	challenging	ADJ
bracis-33548	255	10	,	,	PUNCT
bracis-33548	255	11	and	and	CCONJ
bracis-33548	255	12	extending	extend	VERB
bracis-33548	255	13	the	the	DET
bracis-33548	255	14	recent	recent	ADJ
bracis-33548	255	15	advancements	advancement	NOUN
bracis-33548	255	16	in	in	ADP
bracis-33548	255	17	the	the	DET
bracis-33548	255	18	training	training	NOUN
bracis-33548	255	19	of	of	ADP
bracis-33548	255	20	discrete	discrete	ADJ
bracis-33548	255	21	gflownets	gflownet	NOUN
bracis-33548	255	22	to	to	ADP
bracis-33548	255	23	the	the	DET
bracis-33548	255	24	continuous	continuous	ADJ
bracis-33548	255	25	setting	setting	NOUN
bracis-33548	255	26	,	,	PUNCT
bracis-33548	255	27	along	along	ADP
bracis-33548	255	28	the	the	DET
bracis-33548	255	29	lines	line	NOUN
bracis-33548	255	30	of	of	ADP
bracis-33548	255	31	our	our	PRON
bracis-33548	255	32	work	work	NOUN
bracis-33548	255	33	,	,	PUNCT
bracis-33548	255	34	is	be	AUX
bracis-33548	255	35	a	a	DET
bracis-33548	255	36	promising	promising	ADJ
bracis-33548	255	37	endeavor	endeavor	NOUN
bracis-33548	255	38	that	that	PRON
bracis-33548	255	39	may	may	AUX
bracis-33548	255	40	greatly	greatly	ADV
bracis-33548	255	41	diminish	diminish	VERB
bracis-33548	255	42	these	these	DET
bracis-33548	255	43	difficulties	difficulty	NOUN
bracis-33548	255	44	.	.	PUNCT
bracis-33548	256	1	for	for	ADP
bracis-33548	256	2	instance	instance	NOUN
bracis-33548	256	3	,	,	PUNCT
bracis-33548	256	4	one	one	PRON
bracis-33548	256	5	may	may	AUX
bracis-33548	256	6	build	build	VERB
bracis-33548	256	7	upon	upon	SCONJ
bracis-33548	256	8	the	the	DET
bracis-33548	256	9	framework	framework	NOUN
bracis-33548	256	10	of	of	ADP
bracis-33548	256	11	pan	pan	PROPN
bracis-33548	256	12	et	et	PROPN
bracis-33548	256	13	al	al	PROPN
bracis-33548	256	14	.	.	PROPN
bracis-33548	256	15	’s	’s	PART
bracis-33548	257	1	[	[	X
bracis-33548	257	2	19	19	NUM
bracis-33548	257	3	]	]	PUNCT
bracis-33548	257	4	generative	generative	ADJ
bracis-33548	257	5	augmented	augment	VERB
bracis-33548	257	6	flow	flow	NOUN
bracis-33548	257	7	networks	network	NOUN
bracis-33548	257	8	to	to	PART
bracis-33548	257	9	incorporate	incorporate	VERB
bracis-33548	257	10	intermediate	intermediate	ADJ
bracis-33548	257	11	reward	reward	NOUN
bracis-33548	257	12	-	-	PUNCT
bracis-33548	257	13	related	relate	VERB
bracis-33548	257	14	signals	signal	NOUN
bracis-33548	257	15	within	within	ADP
bracis-33548	257	16	a	a	DET
bracis-33548	257	17	trajectory	trajectory	NOUN
bracis-33548	257	18	for	for	ADP
bracis-33548	257	19	enhanced	enhanced	ADJ
bracis-33548	257	20	credit	credit	NOUN
bracis-33548	257	21	assignment	assignment	NOUN
bracis-33548	257	22	[	[	X
bracis-33548	257	23	22	22	NUM
bracis-33548	257	24	]	]	PUNCT
bracis-33548	257	25	.	.	PUNCT
bracis-33548	258	1	similarly	similarly	ADV
bracis-33548	258	2	,	,	PUNCT
bracis-33548	258	3	the	the	DET
bracis-33548	258	4	theoretical	theoretical	ADJ
bracis-33548	258	5	developments	development	NOUN
bracis-33548	258	6	of	of	ADP
bracis-33548	258	7	tiapkin	tiapkin	NOUN
bracis-33548	258	8	et	et	PROPN
bracis-33548	258	9	al	al	PROPN
bracis-33548	258	10	.	.	PUNCT
bracis-33548	259	1	[	[	X
bracis-33548	259	2	7	7	NUM
bracis-33548	259	3	,	,	PUNCT
bracis-33548	259	4	25	25	NUM
bracis-33548	259	5	]	]	PUNCT
bracis-33548	259	6	showing	show	VERB
bracis-33548	259	7	the	the	DET
bracis-33548	259	8	relationship	relationship	NOUN
bracis-33548	259	9	between	between	ADP
bracis-33548	259	10	rl	rl	PROPN
bracis-33548	259	11	and	and	CCONJ
bracis-33548	259	12	gflownets	gflownet	NOUN
bracis-33548	259	13	paves	pave	VERB
bracis-33548	259	14	the	the	DET
bracis-33548	259	15	road	road	NOUN
bracis-33548	259	16	for	for	ADP
bracis-33548	259	17	the	the	DET
bracis-33548	259	18	design	design	NOUN
bracis-33548	259	19	of	of	ADP
bracis-33548	259	20	learning	learn	VERB
bracis-33548	259	21	objectives	objective	NOUN
bracis-33548	259	22	motivated	motivate	VERB
bracis-33548	259	23	by	by	ADP
bracis-33548	259	24	techniques	technique	NOUN
bracis-33548	259	25	in	in	ADP
bracis-33548	259	26	the	the	DET
bracis-33548	259	27	theory	theory	NOUN
bracis-33548	259	28	of	of	ADP
bracis-33548	259	29	control	control	NOUN
bracis-33548	259	30	for	for	ADP
bracis-33548	259	31	continuous	continuous	ADJ
bracis-33548	259	32	states	state	NOUN
bracis-33548	259	33	.	.	PUNCT
bracis-33548	260	1	references	reference	NOUN
bracis-33548	260	2	atanackovic	atanackovic	PROPN
bracis-33548	260	3	,	,	PUNCT
bracis-33548	260	4	l.	l.	PROPN
bracis-33548	260	5	,	,	PUNCT
bracis-33548	260	6	tong	tong	PROPN
bracis-33548	260	7	,	,	PUNCT
bracis-33548	260	8	a.	a.	PROPN
bracis-33548	260	9	,	,	PUNCT
bracis-33548	260	10	hartford	hartford	PROPN
bracis-33548	260	11	,	,	PUNCT
bracis-33548	260	12	j.	j.	PROPN
bracis-33548	260	13	,	,	PUNCT
bracis-33548	260	14	lee	lee	PROPN
bracis-33548	260	15	,	,	PUNCT
bracis-33548	260	16	l.j	l.j	PROPN
bracis-33548	260	17	.	.	PROPN
bracis-33548	260	18	,	,	PUNCT
bracis-33548	260	19	wang	wang	PROPN
bracis-33548	260	20	,	,	PUNCT
bracis-33548	260	21	b.	b.	PROPN
bracis-33548	260	22	,	,	PUNCT
bracis-33548	260	23	bengio	bengio	PROPN
bracis-33548	260	24	,	,	PUNCT
bracis-33548	260	25	y.	y.	NOUN
bracis-33548	260	26	:	:	PUNCT
bracis-33548	260	27	dyngfn	dyngfn	NOUN
bracis-33548	260	28	:	:	PUNCT
bracis-33548	260	29	towards	towards	ADP
bracis-33548	260	30	bayesian	bayesian	NOUN
bracis-33548	260	31	inference	inference	NOUN
bracis-33548	260	32	of	of	ADP
bracis-33548	260	33	gene	gene	NOUN
bracis-33548	260	34	regulatory	regulatory	ADJ
bracis-33548	260	35	networks	network	NOUN
bracis-33548	260	36	with	with	ADP
bracis-33548	260	37	gflownets	gflownet	NOUN
bracis-33548	260	38	.	.	PUNCT
bracis-33548	261	1	in	in	ADP
bracis-33548	261	2	:	:	PUNCT
bracis-33548	261	3	advances	advance	NOUN
bracis-33548	261	4	in	in	ADP
bracis-33548	261	5	neural	neural	ADJ
bracis-33548	261	6	processing	processing	NOUN
bracis-33548	261	7	systems	system	NOUN
bracis-33548	261	8	(	(	PUNCT
bracis-33548	261	9	neurips	neurip	NOUN
bracis-33548	261	10	)	)	PUNCT
bracis-33548	261	11	(	(	PUNCT
bracis-33548	261	12	2023	2023	NUM
bracis-33548	261	13	)	)	PUNCT
bracis-33548	261	14	google	google	NOUN
bracis-33548	261	15	scholar	scholar	NOUN
bracis-33548	261	16	  	  	SPACE
bracis-33548	261	17	bengio	bengio	PROPN
bracis-33548	261	18	,	,	PUNCT
bracis-33548	261	19	e.	e.	PROPN
bracis-33548	261	20	,	,	PUNCT
bracis-33548	261	21	jain	jain	PROPN
bracis-33548	261	22	,	,	PUNCT
bracis-33548	261	23	m.	m.	NOUN
bracis-33548	261	24	,	,	PUNCT
bracis-33548	261	25	korablyov	korablyov	PROPN
bracis-33548	261	26	,	,	PUNCT
bracis-33548	261	27	m.	m.	NOUN
bracis-33548	261	28	,	,	PUNCT
bracis-33548	261	29	precup	precup	PROPN
bracis-33548	261	30	,	,	PUNCT
bracis-33548	261	31	d.	d.	PROPN
bracis-33548	261	32	,	,	PUNCT
bracis-33548	261	33	bengio	bengio	PROPN
bracis-33548	261	34	,	,	PUNCT
bracis-33548	261	35	y.	y.	NOUN
bracis-33548	261	36	:	:	PUNCT
bracis-33548	261	37	flow	flow	NOUN
bracis-33548	261	38	network	network	NOUN
bracis-33548	261	39	based	base	VERB
bracis-33548	261	40	generative	generative	ADJ
bracis-33548	261	41	models	model	NOUN
bracis-33548	261	42	for	for	ADP
bracis-33548	261	43	non	non	ADJ
bracis-33548	261	44	-	-	ADJ
bracis-33548	261	45	iterative	iterative	ADJ
bracis-33548	261	46	diverse	diverse	ADJ
bracis-33548	261	47	candidate	candidate	NOUN
bracis-33548	261	48	generation	generation	NOUN
bracis-33548	261	49	.	.	PUNCT
bracis-33548	262	1	in	in	ADP
bracis-33548	262	2	:	:	PUNCT
bracis-33548	262	3	neurips	neurip	NOUN
bracis-33548	262	4	(	(	PUNCT
bracis-33548	262	5	2021	2021	NUM
bracis-33548	262	6	)	)	PUNCT
bracis-33548	262	7	google	google	NOUN
bracis-33548	262	8	scholar	scholar	NOUN
bracis-33548	262	9	  	  	SPACE
bracis-33548	262	10	bengio	bengio	NOUN
bracis-33548	262	11	,	,	PUNCT
bracis-33548	262	12	y.	y.	NOUN
bracis-33548	262	13	,	,	PUNCT
bracis-33548	262	14	lahlou	lahlou	PROPN
bracis-33548	262	15	,	,	PUNCT
bracis-33548	262	16	s.	s.	PROPN
bracis-33548	262	17	,	,	PUNCT
bracis-33548	262	18	deleu	deleu	PROPN
bracis-33548	262	19	,	,	PUNCT
bracis-33548	262	20	t.	t.	PROPN
bracis-33548	262	21	,	,	PUNCT
bracis-33548	262	22	hu	hu	PROPN
bracis-33548	262	23	,	,	PUNCT
bracis-33548	262	24	e.j	e.j	PROPN
bracis-33548	262	25	.	.	PROPN
bracis-33548	262	26	,	,	PUNCT
bracis-33548	262	27	tiwari	tiwari	PROPN
bracis-33548	262	28	,	,	PUNCT
bracis-33548	262	29	m.	m.	NOUN
bracis-33548	262	30	,	,	PUNCT
bracis-33548	262	31	bengio	bengio	PROPN
bracis-33548	262	32	,	,	PUNCT
bracis-33548	262	33	e.	e.	PROPN
bracis-33548	262	34	:	:	PUNCT
bracis-33548	262	35	gflownet	gflownet	NOUN
bracis-33548	262	36	foundations	foundations	PROPN
bracis-33548	262	37	.	.	PUNCT
bracis-33548	263	1	j.	j.	PROPN
bracis-33548	263	2	mach	mach	PROPN
bracis-33548	263	3	.	.	PUNCT
bracis-33548	264	1	learn	learn	VERB
bracis-33548	264	2	.	.	PUNCT
bracis-33548	265	1	res	re	NOUN
bracis-33548	265	2	.	.	PUNCT
bracis-33548	266	1	(	(	PUNCT
bracis-33548	266	2	jmlr	jmlr	NOUN
bracis-33548	266	3	)	)	PUNCT
bracis-33548	266	4	24	24	NUM
bracis-33548	266	5	,	,	PUNCT
bracis-33548	266	6	1–55	1–55	PROPN
bracis-33548	266	7	(	(	PUNCT
bracis-33548	266	8	2023	2023	NUM
bracis-33548	266	9	)	)	PUNCT
bracis-33548	266	10	mathscinet	mathscinet	NOUN
bracis-33548	266	11	  	  	SPACE
bracis-33548	266	12	google	google	PROPN
bracis-33548	266	13	scholar	scholar	NOUN
bracis-33548	266	14	  	  	SPACE
bracis-33548	266	15	blei	blei	NOUN
bracis-33548	266	16	,	,	PUNCT
bracis-33548	266	17	d.m	d.m	PROPN
bracis-33548	266	18	.	.	PROPN
bracis-33548	266	19	,	,	PUNCT
bracis-33548	266	20	et	et	PROPN
bracis-33548	266	21	al	al	PROPN
bracis-33548	266	22	.	.	PUNCT
bracis-33548	266	23	:	:	PUNCT
bracis-33548	267	1	variational	variational	ADJ
bracis-33548	267	2	inference	inference	NOUN
bracis-33548	267	3	:	:	PUNCT
bracis-33548	267	4	a	a	DET
bracis-33548	267	5	review	review	NOUN
bracis-33548	267	6	for	for	ADP
bracis-33548	267	7	statisticians	statistician	NOUN
bracis-33548	267	8	.	.	PUNCT
bracis-33548	268	1	j.	j.	PROPN
bracis-33548	268	2	am	am	PROPN
bracis-33548	268	3	.	.	PUNCT
bracis-33548	269	1	stat	stat	PROPN
bracis-33548	269	2	.	.	PUNCT
bracis-33548	270	1	assoc	assoc	PROPN
bracis-33548	270	2	.	.	PUNCT
bracis-33548	271	1	112	112	NUM
bracis-33548	271	2	,	,	PUNCT
bracis-33548	271	3	859–877	859–877	NUM
bracis-33548	271	4	(	(	PUNCT
bracis-33548	271	5	2017	2017	NUM
bracis-33548	271	6	)	)	PUNCT
bracis-33548	271	7	article	article	NOUN
bracis-33548	271	8	  	  	SPACE
bracis-33548	271	9	mathscinet	mathscinet	NOUN
bracis-33548	271	10	  	  	SPACE
bracis-33548	271	11	math	math	NOUN
bracis-33548	271	12	  	  	SPACE
bracis-33548	271	13	google	google	PROPN
bracis-33548	271	14	scholar	scholar	NOUN
bracis-33548	271	15	  	  	SPACE
bracis-33548	271	16	deleu	deleu	PROPN
bracis-33548	271	17	,	,	PUNCT
bracis-33548	271	18	t.	t.	PROPN
bracis-33548	271	19	,	,	PUNCT
bracis-33548	271	20	et	et	PROPN
bracis-33548	271	21	al	al	PROPN
bracis-33548	271	22	.	.	PUNCT
bracis-33548	271	23	:	:	PUNCT
bracis-33548	272	1	bayesian	bayesian	NOUN
bracis-33548	272	2	structure	structure	NOUN
bracis-33548	272	3	learning	learn	VERB
bracis-33548	272	4	with	with	ADP
bracis-33548	272	5	generative	generative	ADJ
bracis-33548	272	6	flow	flow	NOUN
bracis-33548	272	7	networks	network	NOUN
bracis-33548	272	8	.	.	PUNCT
bracis-33548	273	1	in	in	ADP
bracis-33548	273	2	:	:	PUNCT
bracis-33548	273	3	uai	uai	PROPN
bracis-33548	273	4	(	(	PUNCT
bracis-33548	273	5	2022	2022	NUM
bracis-33548	273	6	)	)	PUNCT
bracis-33548	273	7	google	google	PROPN
bracis-33548	273	8	scholar	scholar	NOUN
bracis-33548	273	9	  	  	SPACE
bracis-33548	273	10	deleu	deleu	PROPN
bracis-33548	273	11	,	,	PUNCT
bracis-33548	273	12	t.	t.	PROPN
bracis-33548	273	13	,	,	PUNCT
bracis-33548	273	14	nishikawa	nishikawa	NOUN
bracis-33548	273	15	-	-	PUNCT
bracis-33548	273	16	toomey	toomey	ADJ
bracis-33548	273	17	,	,	PUNCT
bracis-33548	273	18	m.	m.	NOUN
bracis-33548	273	19	,	,	PUNCT
bracis-33548	273	20	subramanian	subramanian	PROPN
bracis-33548	273	21	,	,	PUNCT
bracis-33548	273	22	j.	j.	PROPN
bracis-33548	273	23	,	,	PUNCT
bracis-33548	273	24	malkin	malkin	PROPN
bracis-33548	273	25	,	,	PUNCT
bracis-33548	273	26	n.	n.	NOUN
bracis-33548	273	27	,	,	PUNCT
bracis-33548	273	28	charlin	charlin	PROPN
bracis-33548	273	29	,	,	PUNCT
bracis-33548	273	30	l.	l.	PROPN
bracis-33548	273	31	,	,	PUNCT
bracis-33548	273	32	bengio	bengio	PROPN
bracis-33548	273	33	,	,	PUNCT
bracis-33548	273	34	y.	y.	NOUN
bracis-33548	273	35	:	:	PUNCT
bracis-33548	273	36	joint	joint	ADJ
bracis-33548	273	37	bayesian	bayesian	NOUN
bracis-33548	273	38	inference	inference	NOUN
bracis-33548	273	39	of	of	ADP
bracis-33548	273	40	graphical	graphical	ADJ
bracis-33548	273	41	structure	structure	NOUN
bracis-33548	273	42	and	and	CCONJ
bracis-33548	273	43	parameters	parameter	NOUN
bracis-33548	273	44	with	with	ADP
bracis-33548	273	45	a	a	DET
bracis-33548	273	46	single	single	ADJ
bracis-33548	273	47	generative	generative	ADJ
bracis-33548	273	48	flow	flow	NOUN
bracis-33548	273	49	network	network	NOUN
bracis-33548	273	50	.	.	PUNCT
bracis-33548	274	1	in	in	ADP
bracis-33548	274	2	:	:	PUNCT
bracis-33548	274	3	advances	advance	NOUN
bracis-33548	274	4	in	in	ADP
bracis-33548	274	5	neural	neural	ADJ
bracis-33548	274	6	processing	processing	NOUN
bracis-33548	274	7	systems	system	NOUN
bracis-33548	274	8	(	(	PUNCT
bracis-33548	274	9	neurips	neurip	NOUN
bracis-33548	274	10	)	)	PUNCT
bracis-33548	274	11	(	(	PUNCT
bracis-33548	274	12	2023	2023	NUM
bracis-33548	274	13	)	)	PUNCT
bracis-33548	274	14	google	google	NOUN
bracis-33548	274	15	scholar	scholar	NOUN
bracis-33548	274	16	  	  	SPACE
bracis-33548	274	17	deleu	deleu	PROPN
bracis-33548	274	18	,	,	PUNCT
bracis-33548	274	19	t.	t.	PROPN
bracis-33548	274	20	,	,	PUNCT
bracis-33548	274	21	nouri	nouri	PROPN
bracis-33548	274	22	,	,	PUNCT
bracis-33548	274	23	p.	p.	PROPN
bracis-33548	274	24	,	,	PUNCT
bracis-33548	274	25	malkin	malkin	PROPN
bracis-33548	274	26	,	,	PUNCT
bracis-33548	274	27	n.	n.	NOUN
bracis-33548	274	28	,	,	PUNCT
bracis-33548	274	29	precup	precup	PROPN
bracis-33548	274	30	,	,	PUNCT
bracis-33548	274	31	d.	d.	PROPN
bracis-33548	274	32	,	,	PUNCT
bracis-33548	274	33	bengio	bengio	PROPN
bracis-33548	274	34	,	,	PUNCT
bracis-33548	274	35	y.	y.	NOUN
bracis-33548	274	36	:	:	PUNCT
bracis-33548	274	37	discrete	discrete	ADJ
bracis-33548	274	38	probabilistic	probabilistic	ADJ
bracis-33548	274	39	inference	inference	NOUN
bracis-33548	274	40	as	as	ADP
bracis-33548	274	41	control	control	NOUN
bracis-33548	274	42	in	in	ADP
bracis-33548	274	43	multi	multi	ADJ
bracis-33548	274	44	-	-	ADJ
bracis-33548	274	45	path	path	ADJ
bracis-33548	274	46	environments	environment	NOUN
bracis-33548	274	47	(	(	PUNCT
bracis-33548	274	48	2024	2024	NUM
bracis-33548	274	49	)	)	PUNCT
bracis-33548	274	50	google	google	PROPN
bracis-33548	274	51	scholar	scholar	NOUN
bracis-33548	274	52	  	  	SPACE
bracis-33548	274	53	hinton	hinton	PROPN
bracis-33548	274	54	,	,	PUNCT
bracis-33548	274	55	g.e	g.e	PROPN
bracis-33548	274	56	.	.	PROPN
bracis-33548	274	57	,	,	PUNCT
bracis-33548	274	58	osindero	osindero	NOUN
bracis-33548	274	59	,	,	PUNCT
bracis-33548	274	60	s.	s.	PROPN
bracis-33548	274	61	,	,	PUNCT
bracis-33548	274	62	teh	teh	PROPN
bracis-33548	274	63	,	,	PUNCT
bracis-33548	274	64	y.w	y.w	PROPN
bracis-33548	274	65	.	.	PROPN
bracis-33548	274	66	:	:	PUNCT
bracis-33548	275	1	a	a	DET
bracis-33548	275	2	fast	fast	ADJ
bracis-33548	275	3	learning	learn	VERB
bracis-33548	275	4	algorithm	algorithm	NOUN
bracis-33548	275	5	for	for	ADP
bracis-33548	275	6	deep	deep	ADJ
bracis-33548	275	7	belief	belief	NOUN
bracis-33548	275	8	nets	net	NOUN
bracis-33548	275	9	.	.	PUNCT
bracis-33548	276	1	neural	neural	ADJ
bracis-33548	276	2	comput	comput	NOUN
bracis-33548	276	3	.	.	PUNCT
bracis-33548	277	1	18	18	NUM
bracis-33548	277	2	,	,	PUNCT
bracis-33548	277	3	1527–1554	1527–1554	NUM
bracis-33548	277	4	(	(	PUNCT
bracis-33548	277	5	2006	2006	NUM
bracis-33548	277	6	)	)	PUNCT
bracis-33548	277	7	article	article	NOUN
bracis-33548	277	8	  	  	SPACE
bracis-33548	277	9	mathscinet	mathscinet	NOUN
bracis-33548	277	10	  	  	SPACE
bracis-33548	277	11	math	math	NOUN
bracis-33548	277	12	  	  	SPACE
bracis-33548	277	13	google	google	PROPN
bracis-33548	277	14	scholar	scholar	NOUN
bracis-33548	277	15	  	  	SPACE
bracis-33548	277	16	hu	hu	PROPN
bracis-33548	277	17	,	,	PUNCT
bracis-33548	277	18	e.j	e.j	PROPN
bracis-33548	277	19	.	.	PROPN
bracis-33548	277	20	,	,	PUNCT
bracis-33548	277	21	jain	jain	PROPN
bracis-33548	277	22	,	,	PUNCT
bracis-33548	277	23	m.	m.	NOUN
bracis-33548	277	24	,	,	PUNCT
bracis-33548	277	25	elmoznino	elmoznino	PROPN
bracis-33548	277	26	,	,	PUNCT
bracis-33548	277	27	e.	e.	PROPN
bracis-33548	277	28	,	,	PUNCT
bracis-33548	277	29	kaddar	kaddar	NOUN
bracis-33548	277	30	,	,	PUNCT
bracis-33548	277	31	y.	y.	PROPN
bracis-33548	277	32	,	,	PUNCT
bracis-33548	277	33	et	et	PROPN
bracis-33548	277	34	 	 	SPACE
bracis-33548	277	35	al	al	PROPN
bracis-33548	277	36	.	.	PROPN
bracis-33548	277	37	:	:	PUNCT
bracis-33548	278	1	amortizing	amortize	VERB
bracis-33548	278	2	intractable	intractable	ADJ
bracis-33548	278	3	inference	inference	NOUN
bracis-33548	278	4	in	in	ADP
bracis-33548	278	5	large	large	ADJ
bracis-33548	278	6	language	language	NOUN
bracis-33548	278	7	models	model	NOUN
bracis-33548	278	8	(	(	PUNCT
bracis-33548	278	9	2023	2023	NUM
bracis-33548	278	10	)	)	PUNCT
bracis-33548	278	11	google	google	PROPN
bracis-33548	278	12	scholar	scholar	NOUN
bracis-33548	278	13	  	  	SPACE
bracis-33548	278	14	hu	hu	PROPN
bracis-33548	278	15	,	,	PUNCT
bracis-33548	278	16	e.j	e.j	PROPN
bracis-33548	278	17	.	.	PROPN
bracis-33548	278	18	,	,	PUNCT
bracis-33548	278	19	malkin	malkin	PROPN
bracis-33548	278	20	,	,	PUNCT
bracis-33548	278	21	n.	n.	PROPN
bracis-33548	278	22	,	,	PUNCT
bracis-33548	278	23	jain	jain	PROPN
bracis-33548	278	24	,	,	PUNCT
bracis-33548	278	25	m.	m.	NOUN
bracis-33548	278	26	,	,	PUNCT
bracis-33548	278	27	everett	everett	PROPN
bracis-33548	278	28	,	,	PUNCT
bracis-33548	278	29	k.e	k.e	PROPN
bracis-33548	278	30	.	.	PROPN
bracis-33548	278	31	,	,	PUNCT
bracis-33548	278	32	graikos	graikos	PROPN
bracis-33548	278	33	,	,	PUNCT
bracis-33548	278	34	a.	a.	NOUN
bracis-33548	278	35	,	,	PUNCT
bracis-33548	278	36	bengio	bengio	PROPN
bracis-33548	278	37	,	,	PUNCT
bracis-33548	278	38	y.	y.	NOUN
bracis-33548	278	39	:	:	PUNCT
bracis-33548	278	40	gflownet	gflownet	NOUN
bracis-33548	278	41	-	-	PUNCT
bracis-33548	278	42	em	em	PRON
bracis-33548	278	43	for	for	ADP
bracis-33548	278	44	learning	learn	VERB
bracis-33548	278	45	compositional	compositional	ADJ
bracis-33548	278	46	latent	latent	NOUN
bracis-33548	278	47	variable	variable	ADJ
bracis-33548	278	48	models	model	NOUN
bracis-33548	278	49	.	.	PUNCT
bracis-33548	279	1	in	in	ADP
bracis-33548	279	2	:	:	PUNCT
bracis-33548	279	3	international	international	ADJ
bracis-33548	279	4	conference	conference	NOUN
bracis-33548	279	5	on	on	ADP
bracis-33548	279	6	machine	machine	NOUN
bracis-33548	279	7	learning	learning	NOUN
bracis-33548	279	8	(	(	PUNCT
bracis-33548	279	9	iclr	iclr	PROPN
bracis-33548	279	10	)	)	PUNCT
bracis-33548	279	11	(	(	PUNCT
bracis-33548	279	12	2023	2023	NUM
bracis-33548	279	13	)	)	PUNCT
bracis-33548	279	14	google	google	PROPN
bracis-33548	279	15	scholar	scholar	NOUN
bracis-33548	279	16	  	  	SPACE
bracis-33548	279	17	jang	jang	PROPN
bracis-33548	279	18	,	,	PUNCT
bracis-33548	279	19	h.	h.	PROPN
bracis-33548	279	20	,	,	PUNCT
bracis-33548	279	21	kim	kim	PROPN
bracis-33548	279	22	,	,	PUNCT
bracis-33548	279	23	m.	m.	NOUN
bracis-33548	279	24	,	,	PUNCT
bracis-33548	279	25	ahn	ahn	PROPN
bracis-33548	279	26	,	,	PUNCT
bracis-33548	279	27	s.	s.	PROPN
bracis-33548	279	28	:	:	PUNCT
bracis-33548	279	29	learning	learn	VERB
bracis-33548	279	30	energy	energy	NOUN
bracis-33548	279	31	decompositions	decomposition	NOUN
bracis-33548	279	32	for	for	ADP
bracis-33548	279	33	partial	partial	ADJ
bracis-33548	279	34	inference	inference	NOUN
bracis-33548	279	35	in	in	ADP
bracis-33548	279	36	gflownets	gflownet	NOUN
bracis-33548	279	37	.	.	PUNCT
bracis-33548	280	1	in	in	ADP
bracis-33548	280	2	:	:	PUNCT
bracis-33548	280	3	the	the	DET
bracis-33548	280	4	twelfth	twelfth	ADJ
bracis-33548	280	5	international	international	ADJ
bracis-33548	280	6	conference	conference	NOUN
bracis-33548	280	7	on	on	ADP
bracis-33548	280	8	learning	learn	VERB
bracis-33548	280	9	representations	representation	NOUN
bracis-33548	280	10	(	(	PUNCT
bracis-33548	280	11	2024	2024	NUM
bracis-33548	280	12	)	)	PUNCT
bracis-33548	280	13	google	google	PROPN
bracis-33548	280	14	scholar	scholar	NOUN
bracis-33548	280	15	  	  	SPACE
bracis-33548	280	16	kingma	kingma	PROPN
bracis-33548	280	17	,	,	PUNCT
bracis-33548	280	18	d.p	d.p	PROPN
bracis-33548	280	19	.	.	PROPN
bracis-33548	280	20	,	,	PUNCT
bracis-33548	280	21	ba	ba	PROPN
bracis-33548	280	22	,	,	PUNCT
bracis-33548	280	23	j.	j.	PROPN
bracis-33548	280	24	:	:	PUNCT
bracis-33548	280	25	adam	adam	PROPN
bracis-33548	280	26	:	:	PUNCT
bracis-33548	280	27	a	a	DET
bracis-33548	280	28	method	method	NOUN
bracis-33548	280	29	for	for	ADP
bracis-33548	280	30	stochastic	stochastic	ADJ
bracis-33548	280	31	optimization	optimization	NOUN
bracis-33548	280	32	.	.	PUNCT
bracis-33548	281	1	arxiv	arxiv	PROPN
bracis-33548	281	2	preprint	preprint	VERB
bracis-33548	281	3	arxiv:1412.6980	arxiv:1412.6980	X
bracis-33548	281	4	(	(	PUNCT
bracis-33548	281	5	2014	2014	NUM
bracis-33548	281	6	)	)	PUNCT
bracis-33548	281	7	lahlou	lahlou	PROPN
bracis-33548	281	8	,	,	PUNCT
bracis-33548	281	9	s.	s.	PROPN
bracis-33548	281	10	,	,	PUNCT
bracis-33548	281	11	et	et	PROPN
bracis-33548	281	12	al	al	PROPN
bracis-33548	281	13	.	.	PUNCT
bracis-33548	281	14	:	:	PUNCT
bracis-33548	282	1	a	a	DET
bracis-33548	282	2	theory	theory	NOUN
bracis-33548	282	3	of	of	ADP
bracis-33548	282	4	continuous	continuous	ADJ
bracis-33548	282	5	generative	generative	ADJ
bracis-33548	282	6	flow	flow	NOUN
bracis-33548	282	7	networks	network	NOUN
bracis-33548	282	8	.	.	PUNCT
bracis-33548	283	1	in	in	ADP
bracis-33548	283	2	:	:	PUNCT
bracis-33548	283	3	icml	icml	NOUN
bracis-33548	283	4	proceedings	proceeding	NOUN
bracis-33548	283	5	of	of	ADP
bracis-33548	283	6	machine	machine	NOUN
bracis-33548	283	7	learning	learn	VERB
bracis-33548	283	8	research	research	NOUN
bracis-33548	283	9	,	,	PUNCT
bracis-33548	283	10	vol	vol	NOUN
bracis-33548	283	11	.	.	PUNCT
bracis-33548	283	12	 	 	SPACE
bracis-33548	284	1	202	202	NUM
bracis-33548	284	2	,	,	PUNCT
bracis-33548	284	3	pp	pp	ADJ
bracis-33548	284	4	.	.	PUNCT
bracis-33548	285	1	18269–18300	18269–18300	NUM
bracis-33548	285	2	.	.	PUNCT
bracis-33548	286	1	pmlr	pmlr	NOUN
bracis-33548	286	2	(	(	PUNCT
bracis-33548	286	3	2023	2023	NUM
bracis-33548	286	4	)	)	PUNCT
bracis-33548	286	5	google	google	NOUN
bracis-33548	286	6	scholar	scholar	NOUN
bracis-33548	286	7	  	  	SPACE
bracis-33548	286	8	malkin	malkin	PROPN
bracis-33548	286	9	,	,	PUNCT
bracis-33548	286	10	n.	n.	NOUN
bracis-33548	286	11	,	,	PUNCT
bracis-33548	286	12	jain	jain	PROPN
bracis-33548	286	13	,	,	PUNCT
bracis-33548	286	14	m.	m.	NOUN
bracis-33548	286	15	,	,	PUNCT
bracis-33548	286	16	bengio	bengio	PROPN
bracis-33548	286	17	,	,	PUNCT
bracis-33548	286	18	e.	e.	PROPN
bracis-33548	286	19	,	,	PUNCT
bracis-33548	286	20	sun	sun	PROPN
bracis-33548	286	21	,	,	PUNCT
bracis-33548	286	22	c.	c.	PROPN
bracis-33548	286	23	,	,	PUNCT
bracis-33548	286	24	bengio	bengio	PROPN
bracis-33548	286	25	,	,	PUNCT
bracis-33548	286	26	y.	y.	NOUN
bracis-33548	286	27	:	:	PUNCT
bracis-33548	286	28	trajectory	trajectory	NOUN
bracis-33548	286	29	balance	balance	NOUN
bracis-33548	286	30	:	:	PUNCT
bracis-33548	286	31	improved	improve	VERB
bracis-33548	286	32	credit	credit	NOUN
bracis-33548	286	33	assignment	assignment	NOUN
bracis-33548	286	34	in	in	ADP
bracis-33548	286	35	gflownets	gflownet	NOUN
bracis-33548	286	36	.	.	PUNCT
bracis-33548	287	1	in	in	ADP
bracis-33548	287	2	:	:	PUNCT
bracis-33548	287	3	neurips	neurip	NOUN
bracis-33548	287	4	(	(	PUNCT
bracis-33548	287	5	2022	2022	NUM
bracis-33548	287	6	)	)	PUNCT
bracis-33548	287	7	google	google	PROPN
bracis-33548	287	8	scholar	scholar	NOUN
bracis-33548	287	9	  	  	SPACE
bracis-33548	287	10	malkin	malkin	PROPN
bracis-33548	287	11	,	,	PUNCT
bracis-33548	287	12	n.	n.	PROPN
bracis-33548	287	13	,	,	PUNCT
bracis-33548	287	14	et	et	PROPN
bracis-33548	287	15	al	al	PROPN
bracis-33548	287	16	.	.	PROPN
bracis-33548	287	17	:	:	PUNCT
bracis-33548	288	1	gflownets	gflownet	NOUN
bracis-33548	288	2	and	and	CCONJ
bracis-33548	288	3	variational	variational	ADJ
bracis-33548	288	4	inference	inference	NOUN
bracis-33548	288	5	.	.	PUNCT
bracis-33548	289	1	in	in	ADP
bracis-33548	289	2	:	:	PUNCT
bracis-33548	289	3	international	international	ADJ
bracis-33548	289	4	conference	conference	NOUN
bracis-33548	289	5	on	on	ADP
bracis-33548	289	6	learning	learn	VERB
bracis-33548	289	7	representations	representation	NOUN
bracis-33548	289	8	(	(	PUNCT
bracis-33548	289	9	iclr	iclr	NOUN
bracis-33548	289	10	)	)	PUNCT
bracis-33548	289	11	(	(	PUNCT
bracis-33548	289	12	2023	2023	NUM
bracis-33548	289	13	)	)	PUNCT
bracis-33548	289	14	google	google	PROPN
bracis-33548	289	15	scholar	scholar	NOUN
bracis-33548	289	16	  	  	SPACE
bracis-33548	289	17	mesquita	mesquita	PROPN
bracis-33548	289	18	,	,	PUNCT
bracis-33548	289	19	d.	d.	PROPN
bracis-33548	289	20	,	,	PUNCT
bracis-33548	289	21	blomstedt	blomstedt	PROPN
bracis-33548	289	22	,	,	PUNCT
bracis-33548	289	23	p.	p.	PROPN
bracis-33548	289	24	,	,	PUNCT
bracis-33548	289	25	kaski	kaski	PROPN
bracis-33548	289	26	,	,	PUNCT
bracis-33548	289	27	s.	s.	PROPN
bracis-33548	289	28	:	:	PUNCT
bracis-33548	289	29	embarrassingly	embarrassingly	ADV
bracis-33548	289	30	parallel	parallel	ADJ
bracis-33548	289	31	mcmc	mcmc	NOUN
bracis-33548	289	32	using	use	VERB
bracis-33548	289	33	deep	deep	ADJ
bracis-33548	289	34	invertible	invertible	ADJ
bracis-33548	289	35	transformations	transformation	NOUN
bracis-33548	289	36	.	.	PUNCT
bracis-33548	290	1	in	in	ADP
bracis-33548	290	2	:	:	PUNCT
bracis-33548	290	3	uai	uai	PROPN
bracis-33548	290	4	(	(	PUNCT
bracis-33548	290	5	2019	2019	NUM
bracis-33548	290	6	)	)	PUNCT
bracis-33548	290	7	google	google	PROPN
bracis-33548	290	8	scholar	scholar	NOUN
bracis-33548	290	9	  	  	SPACE
bracis-33548	290	10	pan	pan	PROPN
bracis-33548	290	11	,	,	PUNCT
bracis-33548	290	12	l.	l.	PROPN
bracis-33548	290	13	,	,	PUNCT
bracis-33548	290	14	malkin	malkin	PROPN
bracis-33548	290	15	,	,	PUNCT
bracis-33548	290	16	n.	n.	PROPN
bracis-33548	290	17	,	,	PUNCT
bracis-33548	290	18	zhang	zhang	PROPN
bracis-33548	290	19	,	,	PUNCT
bracis-33548	290	20	d.	d.	PROPN
bracis-33548	290	21	,	,	PUNCT
bracis-33548	290	22	bengio	bengio	PROPN
bracis-33548	290	23	,	,	PUNCT
bracis-33548	290	24	y.	y.	NOUN
bracis-33548	290	25	:	:	PUNCT
bracis-33548	290	26	better	well	ADJ
bracis-33548	290	27	training	training	NOUN
bracis-33548	290	28	of	of	ADP
bracis-33548	290	29	gflownets	gflownet	NOUN
bracis-33548	290	30	with	with	ADP
bracis-33548	290	31	local	local	ADJ
bracis-33548	290	32	credit	credit	NOUN
bracis-33548	290	33	and	and	CCONJ
bracis-33548	290	34	incomplete	incomplete	ADJ
bracis-33548	290	35	trajectories	trajectory	NOUN
bracis-33548	290	36	.	.	PUNCT
bracis-33548	291	1	in	in	ADP
bracis-33548	291	2	:	:	PUNCT
bracis-33548	291	3	international	international	ADJ
bracis-33548	291	4	conference	conference	NOUN
bracis-33548	291	5	on	on	ADP
bracis-33548	291	6	machine	machine	NOUN
bracis-33548	291	7	learning	learning	NOUN
bracis-33548	291	8	(	(	PUNCT
bracis-33548	291	9	icml	icml	PROPN
bracis-33548	291	10	)	)	PUNCT
bracis-33548	291	11	(	(	PUNCT
bracis-33548	291	12	2023	2023	NUM
bracis-33548	291	13	)	)	PUNCT
bracis-33548	291	14	google	google	NOUN
bracis-33548	291	15	scholar	scholar	NOUN
bracis-33548	291	16	  	  	SPACE
bracis-33548	291	17	pan	pan	PROPN
bracis-33548	291	18	,	,	PUNCT
bracis-33548	291	19	l.	l.	PROPN
bracis-33548	291	20	,	,	PUNCT
bracis-33548	291	21	malkin	malkin	PROPN
bracis-33548	291	22	,	,	PUNCT
bracis-33548	291	23	n.	n.	PROPN
bracis-33548	291	24	,	,	PUNCT
bracis-33548	291	25	zhang	zhang	PROPN
bracis-33548	291	26	,	,	PUNCT
bracis-33548	291	27	d.	d.	PROPN
bracis-33548	291	28	,	,	PUNCT
bracis-33548	291	29	bengio	bengio	PROPN
bracis-33548	291	30	,	,	PUNCT
bracis-33548	291	31	y.	y.	NOUN
bracis-33548	291	32	:	:	PUNCT
bracis-33548	291	33	better	well	ADJ
bracis-33548	291	34	training	training	NOUN
bracis-33548	291	35	of	of	ADP
bracis-33548	291	36	gflownets	gflownet	NOUN
bracis-33548	291	37	with	with	ADP
bracis-33548	291	38	local	local	ADJ
bracis-33548	291	39	credit	credit	NOUN
bracis-33548	291	40	and	and	CCONJ
bracis-33548	291	41	incomplete	incomplete	ADJ
bracis-33548	291	42	trajectories	trajectory	NOUN
bracis-33548	291	43	.	.	PUNCT
bracis-33548	292	1	arxiv	arxiv	PROPN
bracis-33548	292	2	preprint	preprint	VERB
bracis-33548	292	3	arxiv:2302.01687	arxiv:2302.01687	NOUN
bracis-33548	292	4	(	(	PUNCT
bracis-33548	292	5	2023	2023	NUM
bracis-33548	292	6	)	)	PUNCT
bracis-33548	292	7	pan	pan	PROPN
bracis-33548	292	8	,	,	PUNCT
bracis-33548	292	9	l.	l.	PROPN
bracis-33548	292	10	,	,	PUNCT
bracis-33548	292	11	zhang	zhang	PROPN
bracis-33548	292	12	,	,	PUNCT
bracis-33548	292	13	d.	d.	PROPN
bracis-33548	292	14	,	,	PUNCT
bracis-33548	292	15	courville	courville	PROPN
bracis-33548	292	16	,	,	PUNCT
bracis-33548	292	17	a.	a.	PROPN
bracis-33548	292	18	,	,	PUNCT
bracis-33548	292	19	huang	huang	PROPN
bracis-33548	292	20	,	,	PUNCT
bracis-33548	292	21	l.	l.	PROPN
bracis-33548	292	22	,	,	PUNCT
bracis-33548	292	23	bengio	bengio	PROPN
bracis-33548	292	24	,	,	PUNCT
bracis-33548	292	25	y.	y.	PROPN
bracis-33548	292	26	:	:	PUNCT
bracis-33548	292	27	generative	generative	ADJ
bracis-33548	292	28	augmented	augment	VERB
bracis-33548	292	29	flow	flow	NOUN
bracis-33548	292	30	networks	network	NOUN
bracis-33548	292	31	.	.	PUNCT
bracis-33548	293	1	in	in	ADP
bracis-33548	293	2	:	:	PUNCT
bracis-33548	293	3	international	international	ADJ
bracis-33548	293	4	conference	conference	NOUN
bracis-33548	293	5	on	on	ADP
bracis-33548	293	6	learning	learn	VERB
bracis-33548	293	7	representations	representation	NOUN
bracis-33548	293	8	(	(	PUNCT
bracis-33548	293	9	iclr	iclr	NOUN
bracis-33548	293	10	)	)	PUNCT
bracis-33548	293	11	(	(	PUNCT
bracis-33548	293	12	2023	2023	NUM
bracis-33548	293	13	)	)	PUNCT
bracis-33548	293	14	google	google	NOUN
bracis-33548	293	15	scholar	scholar	NOUN
bracis-33548	293	16	  	  	SPACE
bracis-33548	293	17	richter	richter	PROPN
bracis-33548	293	18	,	,	PUNCT
bracis-33548	293	19	l.	l.	PROPN
bracis-33548	293	20	,	,	PUNCT
bracis-33548	293	21	boustati	boustati	PROPN
bracis-33548	293	22	,	,	PUNCT
bracis-33548	293	23	a.	a.	NOUN
bracis-33548	293	24	,	,	PUNCT
bracis-33548	293	25	nüsken	nüsken	VERB
bracis-33548	293	26	,	,	PUNCT
bracis-33548	293	27	n.	n.	NOUN
bracis-33548	293	28	,	,	PUNCT
bracis-33548	293	29	ruiz	ruiz	NOUN
bracis-33548	293	30	,	,	PUNCT
bracis-33548	293	31	f.j.r	f.j.r	NOUN
bracis-33548	293	32	.	.	PROPN
bracis-33548	293	33	,	,	PUNCT
bracis-33548	293	34	akyildiz	akyildiz	PROPN
bracis-33548	293	35	,	,	PUNCT
bracis-33548	293	36	ö.d	ö.d	PROPN
bracis-33548	293	37	.	.	PUNCT
bracis-33548	293	38	:	:	PUNCT
bracis-33548	294	1	vargrad	vargrad	NOUN
bracis-33548	294	2	:	:	PUNCT
bracis-33548	294	3	a	a	DET
bracis-33548	294	4	low	low	ADJ
bracis-33548	294	5	-	-	PUNCT
bracis-33548	294	6	variance	variance	NOUN
bracis-33548	294	7	gradient	gradient	NOUN
bracis-33548	294	8	estimator	estimator	NOUN
bracis-33548	294	9	for	for	ADP
bracis-33548	294	10	variational	variational	ADJ
bracis-33548	294	11	inference	inference	NOUN
bracis-33548	294	12	(	(	PUNCT
bracis-33548	294	13	2020	2020	NUM
bracis-33548	294	14	)	)	PUNCT
bracis-33548	294	15	google	google	PROPN
bracis-33548	294	16	scholar	scholar	NOUN
bracis-33548	294	17	  	  	SPACE
bracis-33548	294	18	robert	robert	PROPN
bracis-33548	294	19	,	,	PUNCT
bracis-33548	294	20	c.p	c.p	PROPN
bracis-33548	294	21	.	.	PROPN
bracis-33548	294	22	,	,	PUNCT
bracis-33548	294	23	et	et	PROPN
bracis-33548	294	24	 	 	SPACE
bracis-33548	294	25	al	al	PROPN
bracis-33548	294	26	.	.	PROPN
bracis-33548	294	27	:	:	PUNCT
bracis-33548	295	1	the	the	DET
bracis-33548	295	2	bayesian	bayesian	NOUN
bracis-33548	295	3	choice	choice	NOUN
bracis-33548	295	4	:	:	PUNCT
bracis-33548	295	5	from	from	ADP
bracis-33548	295	6	decision	decision	NOUN
bracis-33548	295	7	-	-	PUNCT
bracis-33548	295	8	theoretic	theoretic	NOUN
bracis-33548	295	9	foundations	foundation	NOUN
bracis-33548	295	10	to	to	ADP
bracis-33548	295	11	computational	computational	ADJ
bracis-33548	295	12	implementation	implementation	NOUN
bracis-33548	295	13	,	,	PUNCT
bracis-33548	295	14	vol	vol	NOUN
bracis-33548	295	15	.	.	PUNCT
bracis-33548	295	16	 	 	SPACE
bracis-33548	295	17	2	2	NUM
bracis-33548	295	18	.	.	X
bracis-33548	295	19	springer	springer	NOUN
bracis-33548	295	20	,	,	PUNCT
bracis-33548	295	21	heidelberg	heidelberg	PROPN
bracis-33548	295	22	(	(	PUNCT
bracis-33548	295	23	2007	2007	NUM
bracis-33548	295	24	)	)	PUNCT
bracis-33548	295	25	.	.	PUNCT
bracis-33548	296	1	https://doi.org/10.1007/0-387-71599-1	https://doi.org/10.1007/0-387-71599-1	PROPN
bracis-33548	296	2	shen	shen	PROPN
bracis-33548	296	3	,	,	PUNCT
bracis-33548	296	4	m.w	m.w	PROPN
bracis-33548	296	5	.	.	PROPN
bracis-33548	296	6	,	,	PUNCT
bracis-33548	296	7	bengio	bengio	PROPN
bracis-33548	296	8	,	,	PUNCT
bracis-33548	296	9	e.	e.	PROPN
bracis-33548	296	10	,	,	PUNCT
bracis-33548	296	11	hajiramezanali	hajiramezanali	PROPN
bracis-33548	296	12	,	,	PUNCT
bracis-33548	296	13	e.	e.	PROPN
bracis-33548	296	14	,	,	PUNCT
bracis-33548	296	15	loukas	loukas	PROPN
bracis-33548	296	16	,	,	PUNCT
bracis-33548	296	17	a.	a.	PROPN
bracis-33548	296	18	,	,	PUNCT
bracis-33548	296	19	cho	cho	PROPN
bracis-33548	296	20	,	,	PUNCT
bracis-33548	296	21	k.	k.	PROPN
bracis-33548	296	22	,	,	PUNCT
bracis-33548	296	23	biancalani	biancalani	PROPN
bracis-33548	296	24	,	,	PUNCT
bracis-33548	296	25	t.	t.	PROPN
bracis-33548	296	26	:	:	PUNCT
bracis-33548	296	27	towards	towards	ADP
bracis-33548	296	28	understanding	understanding	NOUN
bracis-33548	296	29	and	and	CCONJ
bracis-33548	296	30	improving	improve	VERB
bracis-33548	296	31	gflownet	gflownet	NOUN
bracis-33548	296	32	training	training	NOUN
bracis-33548	296	33	.	.	PUNCT
bracis-33548	297	1	in	in	ADP
bracis-33548	297	2	:	:	PUNCT
bracis-33548	297	3	international	international	ADJ
bracis-33548	297	4	conference	conference	NOUN
bracis-33548	297	5	on	on	ADP
bracis-33548	297	6	machine	machine	NOUN
bracis-33548	297	7	learning	learning	NOUN
bracis-33548	297	8	(	(	PUNCT
bracis-33548	297	9	2023	2023	NUM
bracis-33548	297	10	)	)	PUNCT
bracis-33548	297	11	google	google	NOUN
bracis-33548	297	12	scholar	scholar	NOUN
bracis-33548	297	13	  	  	SPACE
bracis-33548	297	14	da	da	PROPN
bracis-33548	297	15	 	 	SPACE
bracis-33548	297	16	silva	silva	NOUN
bracis-33548	297	17	,	,	PUNCT
bracis-33548	297	18	t.	t.	PROPN
bracis-33548	297	19	,	,	PUNCT
bracis-33548	297	20	carvalho	carvalho	PROPN
bracis-33548	297	21	,	,	PUNCT
bracis-33548	297	22	l.m	l.m	PROPN
bracis-33548	297	23	.	.	PROPN
bracis-33548	297	24	,	,	PUNCT
bracis-33548	297	25	souza	souza	PROPN
bracis-33548	297	26	,	,	PUNCT
bracis-33548	297	27	a.	a.	PROPN
bracis-33548	297	28	,	,	PUNCT
bracis-33548	297	29	kaski	kaski	PROPN
bracis-33548	297	30	,	,	PUNCT
bracis-33548	297	31	s.	s.	PROPN
bracis-33548	297	32	,	,	PUNCT
bracis-33548	297	33	mesquita	mesquita	PROPN
bracis-33548	297	34	,	,	PUNCT
bracis-33548	297	35	d.	d.	PROPN
bracis-33548	297	36	:	:	PUNCT
bracis-33548	297	37	embarrassingly	embarrassingly	ADV
bracis-33548	297	38	parallel	parallel	ADJ
bracis-33548	297	39	gflownets	gflownet	NOUN
bracis-33548	297	40	(	(	PUNCT
bracis-33548	297	41	2024	2024	NUM
bracis-33548	297	42	)	)	PUNCT
bracis-33548	297	43	google	google	NOUN
bracis-33548	297	44	scholar	scholar	NOUN
bracis-33548	297	45	  	  	SPACE
bracis-33548	297	46	da	da	PROPN
bracis-33548	297	47	 	 	SPACE
bracis-33548	297	48	silva	silva	NOUN
bracis-33548	297	49	,	,	PUNCT
bracis-33548	297	50	t.	t.	PROPN
bracis-33548	297	51	,	,	PUNCT
bracis-33548	297	52	et	et	PROPN
bracis-33548	297	53	al	al	PROPN
bracis-33548	297	54	.	.	PROPN
bracis-33548	297	55	:	:	PUNCT
bracis-33548	298	1	human	human	NOUN
bracis-33548	298	2	-	-	PUNCT
bracis-33548	298	3	in	in	ADP
bracis-33548	298	4	-	-	PUNCT
bracis-33548	298	5	the	the	DET
bracis-33548	298	6	-	-	PUNCT
bracis-33548	298	7	loop	loop	NOUN
bracis-33548	298	8	causal	causal	ADJ
bracis-33548	298	9	discovery	discovery	NOUN
bracis-33548	298	10	under	under	ADP
bracis-33548	298	11	latent	latent	NOUN
bracis-33548	298	12	confounding	confound	VERB
bracis-33548	298	13	using	use	VERB
bracis-33548	298	14	ancestral	ancestral	ADJ
bracis-33548	298	15	gflownets	gflownet	NOUN
bracis-33548	298	16	.	.	PUNCT
bracis-33548	299	1	arxiv	arxiv	PROPN
bracis-33548	299	2	preprint	preprint	VERB
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bracis-33548	299	4	(	(	PUNCT
bracis-33548	299	5	2023	2023	NUM
bracis-33548	299	6	)	)	PUNCT
bracis-33548	299	7	tiapkin	tiapkin	NOUN
bracis-33548	299	8	,	,	PUNCT
bracis-33548	299	9	d.	d.	PROPN
bracis-33548	299	10	,	,	PUNCT
bracis-33548	299	11	morozov	morozov	PROPN
bracis-33548	299	12	,	,	PUNCT
bracis-33548	299	13	n.	n.	NOUN
bracis-33548	299	14	,	,	PUNCT
bracis-33548	299	15	naumov	naumov	PROPN
bracis-33548	299	16	,	,	PUNCT
bracis-33548	299	17	a.	a.	NOUN
bracis-33548	299	18	,	,	PUNCT
bracis-33548	299	19	vetrov	vetrov	X
bracis-33548	299	20	,	,	PUNCT
bracis-33548	299	21	d.	d.	PROPN
bracis-33548	299	22	:	:	PUNCT
bracis-33548	299	23	generative	generative	ADJ
bracis-33548	299	24	flow	flow	NOUN
bracis-33548	299	25	networks	network	NOUN
bracis-33548	299	26	as	as	ADP
bracis-33548	299	27	entropy	entropy	NOUN
bracis-33548	299	28	-	-	PUNCT
bracis-33548	299	29	regularized	regularized	ADJ
bracis-33548	299	30	rl	rl	X
bracis-33548	299	31	(	(	PUNCT
bracis-33548	299	32	2024	2024	NUM
bracis-33548	299	33	)	)	PUNCT
bracis-33548	299	34	google	google	PROPN
bracis-33548	299	35	scholar	scholar	NOUN
bracis-33548	299	36	  	  	SPACE
bracis-33548	299	37	zhang	zhang	PROPN
bracis-33548	299	38	,	,	PUNCT
bracis-33548	299	39	d.w	d.w	PROPN
bracis-33548	299	40	.	.	PROPN
bracis-33548	299	41	,	,	PUNCT
bracis-33548	299	42	rainone	rainone	PROPN
bracis-33548	299	43	,	,	PUNCT
bracis-33548	299	44	c.	c.	NOUN
bracis-33548	299	45	,	,	PUNCT
bracis-33548	299	46	peschl	peschl	ADJ
bracis-33548	299	47	,	,	PUNCT
bracis-33548	299	48	m.	m.	NOUN
bracis-33548	299	49	,	,	PUNCT
bracis-33548	299	50	bondesan	bondesan	PROPN
bracis-33548	299	51	,	,	PUNCT
bracis-33548	299	52	r.	r.	PROPN
bracis-33548	299	53	:	:	PUNCT
bracis-33548	299	54	robust	robust	ADJ
bracis-33548	299	55	scheduling	scheduling	NOUN
bracis-33548	299	56	with	with	ADP
bracis-33548	299	57	gflownets	gflownet	NOUN
bracis-33548	299	58	.	.	PUNCT
bracis-33548	300	1	in	in	ADP
bracis-33548	300	2	:	:	PUNCT
bracis-33548	300	3	international	international	ADJ
bracis-33548	300	4	conference	conference	NOUN
bracis-33548	300	5	on	on	ADP
bracis-33548	300	6	learning	learn	VERB
bracis-33548	300	7	representations	representation	NOUN
bracis-33548	300	8	(	(	PUNCT
bracis-33548	300	9	iclr	iclr	NOUN
bracis-33548	300	10	)	)	PUNCT
bracis-33548	300	11	(	(	PUNCT
bracis-33548	300	12	2023	2023	NUM
bracis-33548	300	13	)	)	PUNCT
bracis-33548	300	14	google	google	PROPN
bracis-33548	300	15	scholar	scholar	NOUN
bracis-33548	300	16	  	  	SPACE
bracis-33548	300	17	zhang	zhang	PROPN
bracis-33548	300	18	,	,	PUNCT
bracis-33548	300	19	d.	d.	PROPN
bracis-33548	300	20	,	,	PUNCT
bracis-33548	300	21	chen	chen	PROPN
bracis-33548	300	22	,	,	PUNCT
bracis-33548	300	23	r.t	r.t	PROPN
bracis-33548	300	24	.	.	PROPN
bracis-33548	300	25	,	,	PUNCT
bracis-33548	300	26	malkin	malkin	PROPN
bracis-33548	300	27	,	,	PUNCT
bracis-33548	300	28	n.	n.	NOUN
bracis-33548	300	29	,	,	PUNCT
bracis-33548	300	30	bengio	bengio	PROPN
bracis-33548	300	31	,	,	PUNCT
bracis-33548	300	32	y.	y.	NOUN
bracis-33548	300	33	:	:	PUNCT
bracis-33548	300	34	unifying	unify	VERB
bracis-33548	300	35	generative	generative	ADJ
bracis-33548	300	36	models	model	NOUN
bracis-33548	300	37	with	with	ADP
bracis-33548	300	38	gflownets	gflownet	NOUN
bracis-33548	300	39	and	and	CCONJ
bracis-33548	300	40	beyond	beyond	ADP
bracis-33548	300	41	.	.	PUNCT
bracis-33548	301	1	in	in	ADP
bracis-33548	301	2	:	:	PUNCT
bracis-33548	301	3	icml	icml	NOUN
bracis-33548	301	4	beyond	beyond	ADP
bracis-33548	301	5	bayes	bayes	NOUN
bracis-33548	301	6	workshop	workshop	NOUN
bracis-33548	301	7	(	(	PUNCT
bracis-33548	301	8	2022	2022	NUM
bracis-33548	301	9	)	)	PUNCT
bracis-33548	301	10	google	google	PROPN
bracis-33548	301	11	scholar	scholar	NOUN
bracis-33548	301	12	  	  	SPACE
bracis-33548	301	13	zhang	zhang	PROPN
bracis-33548	301	14	,	,	PUNCT
bracis-33548	301	15	d.	d.	PROPN
bracis-33548	301	16	,	,	PUNCT
bracis-33548	301	17	dai	dai	PROPN
bracis-33548	301	18	,	,	PUNCT
bracis-33548	301	19	h.	h.	PROPN
bracis-33548	301	20	,	,	PUNCT
bracis-33548	301	21	malkin	malkin	PROPN
bracis-33548	301	22	,	,	PUNCT
bracis-33548	301	23	n.	n.	NOUN
bracis-33548	301	24	,	,	PUNCT
bracis-33548	301	25	courville	courville	NOUN
bracis-33548	301	26	,	,	PUNCT
bracis-33548	301	27	a.	a.	NOUN
bracis-33548	301	28	,	,	PUNCT
bracis-33548	301	29	bengio	bengio	PROPN
bracis-33548	301	30	,	,	PUNCT
bracis-33548	301	31	y.	y.	PROPN
bracis-33548	301	32	,	,	PUNCT
bracis-33548	301	33	pan	pan	PROPN
bracis-33548	301	34	,	,	PUNCT
bracis-33548	301	35	l.	l.	PROPN
bracis-33548	301	36	:	:	PUNCT
bracis-33548	301	37	let	let	VERB
bracis-33548	301	38	the	the	DET
bracis-33548	301	39	flows	flow	NOUN
bracis-33548	301	40	tell	tell	VERB
bracis-33548	301	41	:	:	PUNCT
bracis-33548	301	42	solving	solve	VERB
bracis-33548	301	43	graph	graph	NOUN
bracis-33548	301	44	combinatorial	combinatorial	ADJ
bracis-33548	301	45	optimization	optimization	NOUN
bracis-33548	301	46	problems	problem	NOUN
bracis-33548	301	47	with	with	ADP
bracis-33548	301	48	gflownets	gflownet	NOUN
bracis-33548	301	49	.	.	PUNCT
bracis-33548	302	1	in	in	ADP
bracis-33548	302	2	:	:	PUNCT
bracis-33548	302	3	neurips	neurip	NOUN
bracis-33548	302	4	(	(	PUNCT
bracis-33548	302	5	2023	2023	NUM
bracis-33548	302	6	)	)	PUNCT
bracis-33548	302	7	google	google	PROPN
bracis-33548	302	8	scholar	scholar	NOUN
bracis-33548	302	9	  	  	SPACE
bracis-33548	302	10	zhang	zhang	PROPN
bracis-33548	302	11	,	,	PUNCT
bracis-33548	302	12	d.	d.	PROPN
bracis-33548	302	13	,	,	PUNCT
bracis-33548	302	14	malkin	malkin	PROPN
bracis-33548	302	15	,	,	PUNCT
bracis-33548	302	16	n.	n.	PROPN
bracis-33548	302	17	,	,	PUNCT
bracis-33548	302	18	liu	liu	PROPN
bracis-33548	302	19	,	,	PUNCT
bracis-33548	302	20	z.	z.	PROPN
bracis-33548	302	21	,	,	PUNCT
bracis-33548	302	22	volokhova	volokhova	PROPN
bracis-33548	302	23	,	,	PUNCT
bracis-33548	302	24	a.	a.	NOUN
bracis-33548	302	25	,	,	PUNCT
bracis-33548	302	26	courville	courville	NOUN
bracis-33548	302	27	,	,	PUNCT
bracis-33548	302	28	a.	a.	NOUN
bracis-33548	302	29	,	,	PUNCT
bracis-33548	302	30	bengio	bengio	PROPN
bracis-33548	302	31	,	,	PUNCT
bracis-33548	302	32	y.	y.	PROPN
bracis-33548	302	33	:	:	PUNCT
bracis-33548	302	34	generative	generative	ADJ
bracis-33548	302	35	flow	flow	NOUN
bracis-33548	302	36	networks	network	NOUN
bracis-33548	302	37	for	for	ADP
bracis-33548	302	38	discrete	discrete	ADJ
bracis-33548	302	39	probabilistic	probabilistic	ADJ
bracis-33548	302	40	modeling	modeling	NOUN
bracis-33548	302	41	.	.	PUNCT
bracis-33548	303	1	in	in	ADP
bracis-33548	303	2	:	:	PUNCT
bracis-33548	303	3	international	international	ADJ
bracis-33548	303	4	conference	conference	NOUN
bracis-33548	303	5	on	on	ADP
bracis-33548	303	6	machine	machine	NOUN
bracis-33548	303	7	learning	learning	NOUN
bracis-33548	303	8	(	(	PUNCT
bracis-33548	303	9	icml	icml	PROPN
bracis-33548	303	10	)	)	PUNCT
bracis-33548	303	11	(	(	PUNCT
bracis-33548	303	12	2022	2022	NUM
bracis-33548	303	13	)	)	PUNCT
bracis-33548	303	14	google	google	PROPN
bracis-33548	303	15	scholar	scholar	NOUN
bracis-33548	303	16	  	  	SPACE
bracis-33548	303	17	zhou	zhou	PROPN
bracis-33548	303	18	,	,	PUNCT
bracis-33548	303	19	m.y	m.y	PROPN
bracis-33548	303	20	.	.	PROPN
bracis-33548	303	21	,	,	PUNCT
bracis-33548	303	22	et	et	PROPN
bracis-33548	303	23	al	al	PROPN
bracis-33548	303	24	.	.	PROPN
bracis-33548	303	25	:	:	PUNCT
bracis-33548	303	26	phylogfn	phylogfn	NOUN
bracis-33548	303	27	:	:	PUNCT
bracis-33548	303	28	phylogenetic	phylogenetic	ADJ
bracis-33548	303	29	inference	inference	NOUN
bracis-33548	303	30	with	with	ADP
bracis-33548	303	31	generative	generative	ADJ
bracis-33548	303	32	flow	flow	NOUN
bracis-33548	303	33	networks	network	NOUN
bracis-33548	303	34	.	.	PUNCT
bracis-33548	304	1	in	in	ADP
bracis-33548	304	2	:	:	PUNCT
bracis-33548	304	3	the	the	DET
bracis-33548	304	4	twelfth	twelfth	ADJ
bracis-33548	304	5	international	international	ADJ
bracis-33548	304	6	conference	conference	NOUN
bracis-33548	304	7	on	on	ADP
bracis-33548	304	8	learning	learn	VERB
bracis-33548	304	9	representations	representation	NOUN
bracis-33548	304	10	(	(	PUNCT
bracis-33548	304	11	2024	2024	NUM
bracis-33548	304	12	)	)	PUNCT
bracis-33548	304	13	google	google	NOUN
bracis-33548	304	14	scholar	scholar	NOUN
bracis-33548	304	15	  	  	SPACE
bracis-33548	304	16	download	download	NOUN
bracis-33548	304	17	references	reference	NOUN
bracis-33548	304	18	acknowledgements	acknowledgement	NOUN
bracis-33548	304	19	this	this	DET
bracis-33548	304	20	work	work	NOUN
bracis-33548	304	21	was	be	AUX
bracis-33548	304	22	supported	support	VERB
bracis-33548	304	23	by	by	ADP
bracis-33548	304	24	fundação	fundação	PROPN
bracis-33548	304	25	carlos	carlos	PROPN
bracis-33548	304	26	chagas	chagas	PROPN
bracis-33548	304	27	filho	filho	PROPN
bracis-33548	304	28	de	de	PROPN
bracis-33548	304	29	amparo	amparo	PROPN
bracis-33548	304	30	à	à	PROPN
bracis-33548	304	31	pesquisa	pesquisa	PROPN
bracis-33548	304	32	do	do	AUX
bracis-33548	304	33	estado	estado	VERB
bracis-33548	304	34	do	do	AUX
bracis-33548	304	35	rio	rio	PROPN
bracis-33548	304	36	de	de	PROPN
bracis-33548	304	37	janeiro	janeiro	PROPN
bracis-33548	304	38	faperj	faperj	PROPN
bracis-33548	304	39	(	(	PUNCT
bracis-33548	304	40	sei-260003/000709/2023	sei-260003/000709/2023	NUM
bracis-33548	304	41	)	)	PUNCT
bracis-33548	304	42	,	,	PUNCT
bracis-33548	304	43	são	são	PROPN
bracis-33548	304	44	paulo	paulo	PROPN
bracis-33548	304	45	research	research	PROPN
bracis-33548	304	46	foundation	foundation	PROPN
bracis-33548	304	47	fapesp	fapesp	PROPN
bracis-33548	304	48	(	(	PUNCT
bracis-33548	304	49	2023/00815	2023/00815	NUM
bracis-33548	304	50	-	-	SYM
bracis-33548	304	51	6	6	NUM
bracis-33548	304	52	)	)	PUNCT
bracis-33548	304	53	,	,	PUNCT
bracis-33548	304	54	and	and	CCONJ
bracis-33548	304	55	conselho	conselho	VERB
bracis-33548	304	56	nacional	nacional	PROPN
bracis-33548	304	57	de	de	X
bracis-33548	304	58	desenvolvimento	desenvolvimento	PROPN
bracis-33548	304	59	científico	científico	PROPN
bracis-33548	304	60	e	e	NOUN
bracis-33548	304	61	tecnológico	tecnológico	PROPN
bracis-33548	304	62	cnpq	cnpq	NOUN
bracis-33548	304	63	(	(	PUNCT
bracis-33548	304	64	404336/2023	404336/2023	NUM
bracis-33548	304	65	-	-	SYM
bracis-33548	304	66	0	0	NUM
bracis-33548	304	67	)	)	PUNCT
bracis-33548	304	68	.	.	PUNCT
bracis-33548	305	1	author	author	NOUN
bracis-33548	305	2	information	information	NOUN
bracis-33548	305	3	authors	author	NOUN
bracis-33548	305	4	and	and	CCONJ
bracis-33548	305	5	affiliations	affiliation	NOUN
bracis-33548	305	6	getulio	getulio	PROPN
bracis-33548	305	7	vargas	vargas	PROPN
bracis-33548	305	8	foundation	foundation	PROPN
bracis-33548	305	9	,	,	PUNCT
bracis-33548	305	10	rio	rio	PROPN
bracis-33548	305	11	de	de	PROPN
bracis-33548	305	12	janeiro	janeiro	PROPN
bracis-33548	305	13	,	,	PUNCT
bracis-33548	305	14	brazil	brazil	PROPN
bracis-33548	305	15	tiago	tiago	PROPN
bracis-33548	305	16	da	da	PROPN
bracis-33548	305	17	silva	silva	PROPN
bracis-33548	305	18	 	 	SPACE
bracis-33548	305	19	&	&	CCONJ
bracis-33548	305	20	 	 	SPACE
bracis-33548	305	21	diego	diego	PROPN
bracis-33548	305	22	mesquita	mesquita	PROPN
bracis-33548	305	23	authors	author	NOUN
bracis-33548	305	24	tiago	tiago	PROPN
bracis-33548	305	25	da	da	PROPN
bracis-33548	305	26	silvaview	silvaview	PROPN
bracis-33548	305	27	author	author	NOUN
bracis-33548	305	28	publications	publication	NOUN
bracis-33548	305	29	search	search	NOUN
bracis-33548	305	30	author	author	NOUN
bracis-33548	305	31	on	on	ADP
bracis-33548	305	32	:	:	PUNCT
bracis-33548	305	33	pubmed	pubmed	PROPN
bracis-33548	305	34	 	 	SPACE
bracis-33548	305	35	google	google	PROPN
bracis-33548	305	36	scholar	scholar	PROPN
bracis-33548	305	37	diego	diego	PROPN
bracis-33548	305	38	mesquitaview	mesquitaview	PROPN
bracis-33548	305	39	author	author	NOUN
bracis-33548	305	40	publications	publication	NOUN
bracis-33548	305	41	search	search	NOUN
bracis-33548	305	42	author	author	NOUN
bracis-33548	305	43	on	on	ADP
bracis-33548	305	44	:	:	PUNCT
bracis-33548	305	45	pubmed	pubmed	PROPN
bracis-33548	305	46	 	 	SPACE
bracis-33548	305	47	google	google	PROPN
bracis-33548	305	48	scholar	scholar	NOUN
bracis-33548	305	49	corresponding	correspond	VERB
bracis-33548	305	50	author	author	NOUN
bracis-33548	305	51	correspondence	correspondence	NOUN
bracis-33548	305	52	to	to	ADP
bracis-33548	305	53	diego	diego	PROPN
bracis-33548	305	54	mesquita	mesquita	PROPN
bracis-33548	305	55	.	.	PUNCT
bracis-33548	306	1	editor	editor	NOUN
bracis-33548	306	2	information	information	NOUN
bracis-33548	306	3	editors	editor	NOUN
bracis-33548	306	4	and	and	CCONJ
bracis-33548	306	5	affiliations	affiliation	NOUN
bracis-33548	306	6	universidade	universidade	VERB
bracis-33548	306	7	federal	federal	PROPN
bracis-33548	306	8	fluminense	fluminense	PROPN
bracis-33548	306	9	,	,	PUNCT
bracis-33548	306	10	niterói	niterói	PROPN
bracis-33548	306	11	,	,	PUNCT
bracis-33548	306	12	brazil	brazil	PROPN
bracis-33548	306	13	aline	aline	PROPN
bracis-33548	306	14	paes	paes	PROPN
bracis-33548	306	15	instituto	instituto	PROPN
bracis-33548	306	16	tecnológico	tecnológico	PROPN
bracis-33548	306	17	de	de	PROPN
bracis-33548	306	18	aeronáutica	aeronáutica	PROPN
bracis-33548	306	19	,	,	PUNCT
bracis-33548	306	20	são	são	PROPN
bracis-33548	306	21	josé	josé	PROPN
bracis-33548	306	22	dos	dos	PROPN
bracis-33548	306	23	campos	campos	PROPN
bracis-33548	306	24	,	,	PUNCT
bracis-33548	306	25	brazil	brazil	PROPN
bracis-33548	306	26	filipe	filipe	PROPN
bracis-33548	306	27	a.	a.	PROPN
bracis-33548	306	28	n.	n.	PROPN
bracis-33548	306	29	verri	verri	PROPN
bracis-33548	306	30	ethics	ethic	NOUN
bracis-33548	306	31	declarations	declaration	VERB
bracis-33548	306	32	disclosure	disclosure	NOUN
bracis-33548	306	33	of	of	ADP
bracis-33548	306	34	interests	interest	NOUN
bracis-33548	306	35	the	the	DET
bracis-33548	306	36	authors	author	NOUN
bracis-33548	306	37	have	have	VERB
bracis-33548	306	38	no	no	DET
bracis-33548	306	39	competing	compete	VERB
bracis-33548	306	40	interests	interest	NOUN
bracis-33548	306	41	to	to	PART
bracis-33548	306	42	declare	declare	VERB
bracis-33548	306	43	that	that	PRON
bracis-33548	306	44	are	be	AUX
bracis-33548	306	45	relevant	relevant	ADJ
bracis-33548	306	46	to	to	ADP
bracis-33548	306	47	the	the	DET
bracis-33548	306	48	content	content	NOUN
bracis-33548	306	49	of	of	ADP
bracis-33548	306	50	this	this	DET
bracis-33548	306	51	article	article	NOUN
bracis-33548	306	52	.	.	PUNCT
bracis-33548	307	1	rights	right	NOUN
bracis-33548	307	2	and	and	CCONJ
bracis-33548	307	3	permissions	permission	NOUN
bracis-33548	307	4	reprints	reprint	NOUN
bracis-33548	307	5	and	and	CCONJ
bracis-33548	307	6	permissions	permission	VERB
bracis-33548	307	7	copyright	copyright	NOUN
bracis-33548	307	8	information	information	NOUN
bracis-33548	307	9	©	©	ADP
bracis-33548	307	10	2025	2025	NUM
bracis-33548	307	11	the	the	DET
bracis-33548	307	12	author(s	author(s	NOUN
bracis-33548	307	13	)	)	PUNCT
bracis-33548	307	14	,	,	PUNCT
bracis-33548	307	15	under	under	ADP
bracis-33548	307	16	exclusive	exclusive	ADJ
bracis-33548	307	17	license	license	NOUN
bracis-33548	307	18	to	to	ADP
bracis-33548	307	19	springer	springer	NOUN
bracis-33548	307	20	nature	nature	PROPN
bracis-33548	307	21	switzerland	switzerland	PROPN
bracis-33548	307	22	ag	ag	PROPN
bracis-33548	307	23	about	about	ADP
bracis-33548	307	24	this	this	DET
bracis-33548	307	25	paper	paper	NOUN
bracis-33548	307	26	cite	cite	VERB
bracis-33548	307	27	this	this	DET
bracis-33548	307	28	paper	paper	NOUN
bracis-33548	307	29	da	da	PROPN
bracis-33548	307	30	silva	silva	PROPN
bracis-33548	307	31	,	,	PUNCT
bracis-33548	307	32	t.	t.	PROPN
bracis-33548	307	33	,	,	PUNCT
bracis-33548	307	34	mesquita	mesquita	PROPN
bracis-33548	307	35	,	,	PUNCT
bracis-33548	307	36	d.	d.	PROPN
bracis-33548	307	37	(	(	PUNCT
bracis-33548	307	38	2025	2025	NUM
bracis-33548	307	39	)	)	PUNCT
bracis-33548	307	40	.	.	PUNCT
bracis-33548	308	1	a	a	DET
bracis-33548	308	2	contrastive	contrastive	ADJ
bracis-33548	308	3	objective	objective	NOUN
bracis-33548	308	4	for	for	ADP
bracis-33548	308	5	 	 	SPACE
bracis-33548	308	6	training	train	VERB
bracis-33548	308	7	continuous	continuous	ADJ
bracis-33548	308	8	generative	generative	ADJ
bracis-33548	308	9	flow	flow	NOUN
bracis-33548	308	10	networks	network	NOUN
bracis-33548	308	11	.	.	PUNCT
bracis-33548	309	1	in	in	ADP
bracis-33548	309	2	:	:	PUNCT
bracis-33548	309	3	paes	paes	PROPN
bracis-33548	309	4	,	,	PUNCT
bracis-33548	309	5	a.	a.	PROPN
bracis-33548	309	6	,	,	PUNCT
bracis-33548	309	7	verri	verri	NOUN
bracis-33548	309	8	,	,	PUNCT
bracis-33548	309	9	f.a.n	f.a.n	ADJ
bracis-33548	309	10	.	.	PUNCT
bracis-33548	309	11	(	(	PUNCT
bracis-33548	309	12	eds	ed	NOUN
bracis-33548	309	13	)	)	PUNCT
bracis-33548	309	14	intelligent	intelligent	ADJ
bracis-33548	309	15	systems	system	NOUN
bracis-33548	309	16	.	.	PUNCT
bracis-33548	309	17	bracis	bracis	PROPN
bracis-33548	309	18	2024	2024	NUM
bracis-33548	309	19	.	.	PUNCT
bracis-33548	310	1	lecture	lecture	NOUN
bracis-33548	310	2	notes	note	NOUN
bracis-33548	310	3	in	in	ADP
bracis-33548	310	4	computer	computer	NOUN
bracis-33548	310	5	science	science	NOUN
bracis-33548	310	6	(	(	PUNCT
bracis-33548	310	7	)	)	PUNCT
bracis-33548	310	8	,	,	PUNCT
bracis-33548	310	9	vol	vol	NOUN
bracis-33548	310	10	15412	15412	NUM
bracis-33548	310	11	.	.	PUNCT
bracis-33548	311	1	springer	springer	NOUN
bracis-33548	311	2	,	,	PUNCT
bracis-33548	311	3	cham	cham	PROPN
bracis-33548	311	4	.	.	PUNCT
bracis-33548	312	1	https://doi.org/10.1007/978-3-031-79029-4_1	https://doi.org/10.1007/978-3-031-79029-4_1	PROPN
bracis-33548	312	2	download	download	PROPN
bracis-33548	312	3	citation	citation	NOUN
bracis-33548	312	4	.ris	.ris	PUNCT
bracis-33548	312	5	.enw	.enw	PROPN
bracis-33548	312	6	.bib	.bib	PUNCT
bracis-33548	313	1	doi	doi	PROPN
bracis-33548	313	2	:	:	PUNCT
bracis-33548	313	3	https://doi.org/10.1007/978-3-031-79029-4_1	https://doi.org/10.1007/978-3-031-79029-4_1	NOUN
bracis-33548	313	4	published	publish	VERB
bracis-33548	313	5	:	:	PUNCT
bracis-33548	313	6	30	30	NUM
bracis-33548	313	7	january	january	PROPN
bracis-33548	313	8	2025	2025	NUM
bracis-33548	313	9	publisher	publisher	NOUN
bracis-33548	313	10	name	name	NOUN
bracis-33548	313	11	:	:	PUNCT
bracis-33548	313	12	springer	springer	NOUN
bracis-33548	313	13	,	,	PUNCT
bracis-33548	313	14	cham	cham	PROPN
bracis-33548	313	15	print	print	PROPN
bracis-33548	313	16	isbn	isbn	PROPN
bracis-33548	313	17	:	:	PUNCT
bracis-33548	313	18	978	978	NUM
bracis-33548	313	19	-	-	SYM
bracis-33548	313	20	3	3	NUM
bracis-33548	313	21	-	-	PUNCT
bracis-33548	313	22	031	031	NUM
bracis-33548	313	23	-	-	PUNCT
bracis-33548	313	24	79028	79028	NUM
bracis-33548	313	25	-	-	SYM
bracis-33548	313	26	7	7	NUM
bracis-33548	313	27	online	online	ADJ
bracis-33548	313	28	isbn	isbn	NOUN
bracis-33548	313	29	:	:	PUNCT
bracis-33548	313	30	978	978	NUM
bracis-33548	313	31	-	-	SYM
bracis-33548	313	32	3	3	NUM
bracis-33548	313	33	-	-	PUNCT
bracis-33548	313	34	031	031	NUM
bracis-33548	313	35	-	-	PUNCT
bracis-33548	313	36	79029	79029	NUM
bracis-33548	313	37	-	-	SYM
bracis-33548	313	38	4	4	NUM
bracis-33548	313	39	ebook	ebook	NOUN
bracis-33548	313	40	packages	package	NOUN
bracis-33548	313	41	:	:	PUNCT
bracis-33548	313	42	computer	computer	NOUN
bracis-33548	313	43	sciencecomputer	sciencecomputer	NOUN
bracis-33548	313	44	science	science	NOUN
bracis-33548	313	45	(	(	PUNCT
bracis-33548	313	46	r0	r0	NOUN
bracis-33548	313	47	)	)	PUNCT
bracis-33548	313	48	share	share	VERB
bracis-33548	313	49	this	this	DET
bracis-33548	313	50	paper	paper	NOUN
bracis-33548	313	51	anyone	anyone	PRON
bracis-33548	313	52	you	you	PRON
bracis-33548	313	53	share	share	VERB
bracis-33548	313	54	the	the	DET
bracis-33548	313	55	following	follow	VERB
bracis-33548	313	56	link	link	NOUN
bracis-33548	313	57	with	with	ADP
bracis-33548	313	58	will	will	AUX
bracis-33548	313	59	be	be	AUX
bracis-33548	313	60	able	able	ADJ
bracis-33548	313	61	to	to	PART
bracis-33548	313	62	read	read	VERB
bracis-33548	313	63	this	this	DET
bracis-33548	313	64	content	content	NOUN
bracis-33548	313	65	:	:	PUNCT
bracis-33548	313	66	get	get	VERB
bracis-33548	313	67	shareable	shareable	ADJ
bracis-33548	313	68	linksorry	linksorry	NOUN
bracis-33548	313	69	,	,	PUNCT
bracis-33548	313	70	a	a	DET
bracis-33548	313	71	shareable	shareable	ADJ
bracis-33548	313	72	link	link	NOUN
bracis-33548	313	73	is	be	AUX
bracis-33548	313	74	not	not	PART
bracis-33548	313	75	currently	currently	ADV
bracis-33548	313	76	available	available	ADJ
bracis-33548	313	77	for	for	ADP
bracis-33548	313	78	this	this	DET
bracis-33548	313	79	article	article	NOUN
bracis-33548	313	80	.	.	PUNCT
bracis-33548	314	1	copy	copy	VERB
bracis-33548	314	2	shareable	shareable	ADJ
bracis-33548	314	3	link	link	NOUN
bracis-33548	314	4	to	to	PART
bracis-33548	314	5	clipboard	clipboard	NOUN
bracis-33548	314	6	provided	provide	VERB
bracis-33548	314	7	by	by	ADP
bracis-33548	314	8	the	the	DET
bracis-33548	314	9	springer	springer	NOUN
bracis-33548	314	10	nature	nature	PROPN
bracis-33548	314	11	sharedit	sharedit	PROPN
bracis-33548	314	12	content	content	NOUN
bracis-33548	314	13	-	-	PUNCT
bracis-33548	314	14	sharing	share	VERB
bracis-33548	314	15	initiative	initiative	NOUN
bracis-33548	314	16	keywords	keyword	NOUN
bracis-33548	314	17	gflownets	gflownet	NOUN
bracis-33548	314	18	diffusion	diffusion	NOUN
bracis-33548	314	19	models	model	NOUN
bracis-33548	314	20	bayesian	bayesian	NOUN
bracis-33548	314	21	inference	inference	NOUN
bracis-33548	314	22	publish	publish	VERB
bracis-33548	314	23	with	with	ADP
bracis-33548	314	24	us	us	PROPN
bracis-33548	314	25	policies	policy	NOUN
bracis-33548	314	26	and	and	CCONJ
bracis-33548	314	27	ethics	ethic	NOUN
bracis-33548	314	28	search	search	NOUN
bracis-33548	314	29	search	search	NOUN
bracis-33548	314	30	by	by	ADP
bracis-33548	314	31	keyword	keyword	NOUN
bracis-33548	314	32	or	or	CCONJ
bracis-33548	314	33	author	author	NOUN
bracis-33548	314	34	search	search	NOUN
bracis-33548	314	35	navigation	navigation	NOUN
bracis-33548	314	36	find	find	VERB
bracis-33548	314	37	a	a	DET
bracis-33548	314	38	journal	journal	NOUN
bracis-33548	314	39	publish	publish	VERB
bracis-33548	314	40	with	with	ADP
bracis-33548	314	41	us	we	PRON
bracis-33548	314	42	track	track	VERB
bracis-33548	314	43	your	your	PRON
bracis-33548	314	44	research	research	NOUN
bracis-33548	314	45	discover	discover	VERB
bracis-33548	314	46	content	content	NOUN
bracis-33548	314	47	journals	journal	NOUN
bracis-33548	314	48	a	a	DET
bracis-33548	314	49	-	-	PUNCT
bracis-33548	314	50	z	z	NOUN
bracis-33548	314	51	books	book	NOUN
bracis-33548	314	52	a	a	DET
bracis-33548	314	53	-	-	PUNCT
bracis-33548	314	54	z	z	NOUN
bracis-33548	314	55	publish	publish	NOUN
bracis-33548	314	56	with	with	ADP
bracis-33548	314	57	us	us	PROPN
bracis-33548	314	58	journal	journal	PROPN
bracis-33548	314	59	finder	finder	PROPN
bracis-33548	314	60	publish	publish	VERB
bracis-33548	314	61	your	your	PRON
bracis-33548	314	62	research	research	NOUN
bracis-33548	314	63	language	language	NOUN
bracis-33548	314	64	editing	edit	VERB
bracis-33548	314	65	open	open	ADJ
bracis-33548	314	66	access	access	NOUN
bracis-33548	314	67	publishing	publishing	NOUN
bracis-33548	314	68	products	product	NOUN
bracis-33548	314	69	and	and	CCONJ
bracis-33548	314	70	services	service	NOUN
bracis-33548	314	71	our	our	PRON
bracis-33548	314	72	products	product	NOUN
bracis-33548	314	73	librarians	librarian	VERB
bracis-33548	314	74	societies	society	NOUN
bracis-33548	314	75	partners	partner	NOUN
bracis-33548	314	76	and	and	CCONJ
bracis-33548	314	77	advertisers	advertiser	NOUN
bracis-33548	314	78	our	our	PRON
bracis-33548	314	79	brands	brand	NOUN
bracis-33548	314	80	springer	springer	NOUN
bracis-33548	314	81	nature	nature	PROPN
bracis-33548	314	82	portfolio	portfolio	PROPN
bracis-33548	314	83	bmc	bmc	PROPN
bracis-33548	314	84	palgrave	palgrave	PROPN
bracis-33548	314	85	macmillan	macmillan	PROPN
bracis-33548	314	86	apress	apress	PROPN
bracis-33548	314	87	discover	discover	VERB
bracis-33548	314	88	your	your	PRON
bracis-33548	314	89	privacy	privacy	NOUN
bracis-33548	314	90	choices	choice	NOUN
bracis-33548	314	91	/	/	SYM
bracis-33548	314	92	manage	manage	NOUN
bracis-33548	314	93	cookies	cookie	NOUN
bracis-33548	314	94	your	your	PRON
bracis-33548	314	95	us	us	PROPN
bracis-33548	315	1	state	state	NOUN
bracis-33548	315	2	privacy	privacy	NOUN
bracis-33548	315	3	rights	right	NOUN
bracis-33548	315	4	accessibility	accessibility	NOUN
bracis-33548	315	5	statement	statement	NOUN
bracis-33548	315	6	terms	term	NOUN
bracis-33548	315	7	and	and	CCONJ
bracis-33548	315	8	conditions	condition	NOUN
bracis-33548	315	9	privacy	privacy	NOUN
bracis-33548	315	10	policy	policy	NOUN
bracis-33548	315	11	help	help	NOUN
bracis-33548	315	12	and	and	CCONJ
bracis-33548	315	13	support	support	VERB
bracis-33548	315	14	legal	legal	ADJ
bracis-33548	315	15	notice	notice	NOUN
bracis-33548	315	16	cancel	cancel	VERB
bracis-33548	315	17	contracts	contract	NOUN
bracis-33548	315	18	here	here	ADV
bracis-33548	315	19	129.74.145.123	129.74.145.123	NUM
bracis-33548	315	20	hesburgh	hesburgh	PROPN
bracis-33548	315	21	library	library	PROPN
bracis-33548	315	22	er	er	INTJ
bracis-33548	315	23	unit	unit	NOUN
bracis-33548	315	24	(	(	PUNCT
bracis-33548	315	25	3005732405	3005732405	NUM
bracis-33548	315	26	)	)	PUNCT
bracis-33548	315	27	northeast	northeast	ADJ
bracis-33548	315	28	research	research	NOUN
bracis-33548	315	29	libraries	library	NOUN
bracis-33548	315	30	(	(	PUNCT
bracis-33548	315	31	nerl	nerl	PROPN
bracis-33548	315	32	)	)	PUNCT
bracis-33548	315	33	(	(	PUNCT
bracis-33548	315	34	8200828607	8200828607	NUM
bracis-33548	315	35	)	)	PUNCT
bracis-33548	315	36	nerl	nerl	VERB
bracis-33548	315	37	ta	ta	X
bracis-33548	315	38	account	account	NOUN
bracis-33548	315	39	(	(	PUNCT
bracis-33548	315	40	3006206169	3006206169	NUM
bracis-33548	315	41	)	)	PUNCT
bracis-33548	315	42	university	university	NOUN
bracis-33548	315	43	of	of	ADP
bracis-33548	315	44	notre	notre	PROPN
bracis-33548	315	45	dame	dame	PROPN
bracis-33548	315	46	hesburgh	hesburgh	PROPN
bracis-33548	315	47	library	library	NOUN
bracis-33548	315	48	(	(	PUNCT
bracis-33548	315	49	3000184373	3000184373	NUM
bracis-33548	315	50	)	)	PUNCT
bracis-33548	316	1	©	©	ADP
bracis-33548	316	2	2025	2025	NUM
bracis-33548	316	3	springer	springer	NOUN
bracis-33548	316	4	nature	nature	NOUN