id	sid	tid	token	lemma	pos
ajst-16292	1	1	academic	academic	ADJ
ajst-16292	1	2	journal	journal	NOUN
ajst-16292	1	3	of	of	ADP
ajst-16292	1	4	science	science	NOUN
ajst-16292	1	5	and	and	CCONJ
ajst-16292	1	6	technology	technology	NOUN
ajst-16292	1	7	issn	issn	NOUN
ajst-16292	1	8	:	:	PUNCT
ajst-16292	1	9	2771	2771	NUM
ajst-16292	1	10	-	-	SYM
ajst-16292	1	11	3032	3032	NUM
ajst-16292	1	12	|	|	NOUN
ajst-16292	1	13	vol	vol	NOUN
ajst-16292	1	14	.	.	PROPN
ajst-16292	2	1	9	9	NUM
ajst-16292	2	2	,	,	PUNCT
ajst-16292	2	3	no	no	INTJ
ajst-16292	2	4	.	.	NOUN
ajst-16292	2	5	1	1	NUM
ajst-16292	2	6	,	,	PUNCT
ajst-16292	2	7	2024	2024	NUM
ajst-16292	2	8	46	46	NUM
ajst-16292	2	9	machine	machine	NOUN
ajst-16292	2	10	learning	learn	VERB
ajst-16292	2	11	through	through	ADP
ajst-16292	2	12	physics	physics	NOUN
ajst-16292	2	13	–	–	PUNCT
ajst-16292	2	14	informed	inform	VERB
ajst-16292	2	15	neural	neural	ADJ
ajst-16292	2	16	networks	network	NOUN
ajst-16292	2	17	:	:	PUNCT
ajst-16292	2	18	progress	progress	NOUN
ajst-16292	2	19	and	and	CCONJ
ajst-16292	2	20	challenges	challenge	NOUN
ajst-16292	2	21	klapa	klapa	VERB
ajst-16292	2	22	antonion1	antonion1	PROPN
ajst-16292	2	23	,	,	PUNCT
ajst-16292	2	24	xiao	xiao	PROPN
ajst-16292	2	25	wang1	wang1	PROPN
ajst-16292	2	26	,	,	PUNCT
ajst-16292	2	27	*	*	PUNCT
ajst-16292	2	28	,	,	PUNCT
ajst-16292	2	29	maziar	maziar	ADJ
ajst-16292	2	30	raissi2	raissi2	NOUN
ajst-16292	2	31	,	,	PUNCT
ajst-16292	2	32	laurn	laurn	NOUN
ajst-16292	2	33	joshie2	joshie2	NOUN
ajst-16292	3	1	1department	1department	NUM
ajst-16292	3	2	of	of	ADP
ajst-16292	3	3	technology	technology	NOUN
ajst-16292	3	4	of	of	ADP
ajst-16292	3	5	computers	computer	NOUN
ajst-16292	3	6	and	and	CCONJ
ajst-16292	3	7	communications	communication	NOUN
ajst-16292	3	8	,	,	PUNCT
ajst-16292	3	9	university	university	NOUN
ajst-16292	3	10	of	of	ADP
ajst-16292	3	11	extremadura	extremadura	PROPN
ajst-16292	3	12	,	,	PUNCT
ajst-16292	3	13	10071	10071	NUM
ajst-16292	3	14	caceres	cacere	NOUN
ajst-16292	3	15	,	,	PUNCT
ajst-16292	3	16	spain	spain	PROPN
ajst-16292	3	17	2department	2department	NUM
ajst-16292	3	18	of	of	ADP
ajst-16292	3	19	applied	apply	VERB
ajst-16292	3	20	mathematics	mathematic	NOUN
ajst-16292	3	21	,	,	PUNCT
ajst-16292	3	22	the	the	DET
ajst-16292	3	23	university	university	PROPN
ajst-16292	3	24	of	of	ADP
ajst-16292	3	25	sydney	sydney	PROPN
ajst-16292	3	26	,	,	PUNCT
ajst-16292	3	27	sydney	sydney	PROPN
ajst-16292	3	28	,	,	PUNCT
ajst-16292	3	29	nsw	nsw	PROPN
ajst-16292	3	30	2006	2006	NUM
ajst-16292	3	31	,	,	PUNCT
ajst-16292	3	32	australia	australia	PROPN
ajst-16292	3	33	*	*	PUNCT
ajst-16292	3	34	corresponding	correspond	VERB
ajst-16292	3	35	author	author	NOUN
ajst-16292	3	36	:	:	PUNCT
ajst-16292	3	37	xiao	xiao	PROPN
ajst-16292	3	38	wang	wang	PROPN
ajst-16292	3	39	,	,	PUNCT
ajst-16292	3	40	xiao.wang@unex.es	xiao.wang@unex.es	PROPN
ajst-16292	3	41	abstract	abstract	ADJ
ajst-16292	3	42	:	:	PUNCT
ajst-16292	3	43	physics	physics	NOUN
ajst-16292	3	44	-	-	PUNCT
ajst-16292	3	45	informed	inform	VERB
ajst-16292	3	46	neural	neural	ADJ
ajst-16292	3	47	networks	network	NOUN
ajst-16292	3	48	(	(	PUNCT
ajst-16292	3	49	pinns	pinns	ADV
ajst-16292	3	50	)	)	PUNCT
ajst-16292	3	51	represent	represent	VERB
ajst-16292	3	52	a	a	DET
ajst-16292	3	53	groundbreaking	groundbreake	VERB
ajst-16292	3	54	approach	approach	NOUN
ajst-16292	3	55	wherein	wherein	ADJ
ajst-16292	3	56	neural	neural	ADJ
ajst-16292	3	57	networks	network	NOUN
ajst-16292	3	58	(	(	PUNCT
ajst-16292	3	59	nns	nn	NOUN
ajst-16292	3	60	)	)	PUNCT
ajst-16292	3	61	integrate	integrate	VERB
ajst-16292	3	62	model	model	NOUN
ajst-16292	3	63	equations	equation	NOUN
ajst-16292	3	64	,	,	PUNCT
ajst-16292	3	65	such	such	ADJ
ajst-16292	3	66	as	as	ADP
ajst-16292	3	67	partial	partial	ADJ
ajst-16292	3	68	differential	differential	ADJ
ajst-16292	3	69	equations	equation	NOUN
ajst-16292	3	70	(	(	PUNCT
ajst-16292	3	71	pdes	pde	NOUN
ajst-16292	3	72	)	)	PUNCT
ajst-16292	3	73	,	,	PUNCT
ajst-16292	3	74	within	within	ADP
ajst-16292	3	75	their	their	PRON
ajst-16292	3	76	architecture	architecture	NOUN
ajst-16292	3	77	.	.	PUNCT
ajst-16292	4	1	this	this	DET
ajst-16292	4	2	innovation	innovation	NOUN
ajst-16292	4	3	has	have	AUX
ajst-16292	4	4	become	become	VERB
ajst-16292	4	5	instrumental	instrumental	ADJ
ajst-16292	4	6	in	in	ADP
ajst-16292	4	7	solving	solve	VERB
ajst-16292	4	8	diverse	diverse	ADJ
ajst-16292	4	9	problem	problem	NOUN
ajst-16292	4	10	sets	set	NOUN
ajst-16292	4	11	including	include	VERB
ajst-16292	4	12	pdes	pde	NOUN
ajst-16292	4	13	,	,	PUNCT
ajst-16292	4	14	fractional	fractional	ADJ
ajst-16292	4	15	equations	equation	NOUN
ajst-16292	4	16	,	,	PUNCT
ajst-16292	4	17	integral	integral	ADJ
ajst-16292	4	18	-	-	PUNCT
ajst-16292	4	19	differential	differential	NOUN
ajst-16292	4	20	equations	equation	NOUN
ajst-16292	4	21	,	,	PUNCT
ajst-16292	4	22	and	and	CCONJ
ajst-16292	4	23	stochastic	stochastic	ADJ
ajst-16292	4	24	pdes	pde	NOUN
ajst-16292	4	25	.	.	PUNCT
ajst-16292	5	1	it	it	PRON
ajst-16292	5	2	's	be	AUX
ajst-16292	5	3	a	a	DET
ajst-16292	5	4	versatile	versatile	ADJ
ajst-16292	5	5	multi	multi	ADJ
ajst-16292	5	6	-	-	ADJ
ajst-16292	5	7	task	task	ADJ
ajst-16292	5	8	learning	learn	VERB
ajst-16292	5	9	framework	framework	NOUN
ajst-16292	5	10	that	that	PRON
ajst-16292	5	11	tasks	task	VERB
ajst-16292	5	12	nns	nns	VERB
ajst-16292	5	13	with	with	ADP
ajst-16292	5	14	fitting	fitting	ADJ
ajst-16292	5	15	observed	observed	ADJ
ajst-16292	5	16	data	datum	NOUN
ajst-16292	5	17	while	while	SCONJ
ajst-16292	5	18	simultaneously	simultaneously	ADV
ajst-16292	5	19	minimizing	minimize	VERB
ajst-16292	5	20	pde	pde	NOUN
ajst-16292	5	21	residuals	residual	NOUN
ajst-16292	5	22	.	.	PUNCT
ajst-16292	6	1	this	this	DET
ajst-16292	6	2	paper	paper	NOUN
ajst-16292	6	3	delves	delve	VERB
ajst-16292	6	4	into	into	ADP
ajst-16292	6	5	the	the	DET
ajst-16292	6	6	landscape	landscape	NOUN
ajst-16292	6	7	of	of	ADP
ajst-16292	6	8	pinns	pinn	NOUN
ajst-16292	6	9	,	,	PUNCT
ajst-16292	6	10	aiming	aim	VERB
ajst-16292	6	11	to	to	PART
ajst-16292	6	12	delineate	delineate	VERB
ajst-16292	6	13	their	their	PRON
ajst-16292	6	14	inherent	inherent	ADJ
ajst-16292	6	15	strengths	strength	NOUN
ajst-16292	6	16	and	and	CCONJ
ajst-16292	6	17	weaknesses	weakness	NOUN
ajst-16292	6	18	.	.	PUNCT
ajst-16292	7	1	beyond	beyond	ADP
ajst-16292	7	2	exploring	explore	VERB
ajst-16292	7	3	the	the	DET
ajst-16292	7	4	fundamental	fundamental	ADJ
ajst-16292	7	5	characteristics	characteristic	NOUN
ajst-16292	7	6	of	of	ADP
ajst-16292	7	7	these	these	DET
ajst-16292	7	8	networks	network	NOUN
ajst-16292	7	9	,	,	PUNCT
ajst-16292	7	10	this	this	DET
ajst-16292	7	11	review	review	NOUN
ajst-16292	7	12	endeavors	endeavor	VERB
ajst-16292	7	13	to	to	PART
ajst-16292	7	14	encompass	encompass	VERB
ajst-16292	7	15	a	a	DET
ajst-16292	7	16	wider	wide	ADJ
ajst-16292	7	17	spectrum	spectrum	NOUN
ajst-16292	7	18	of	of	ADP
ajst-16292	7	19	collocation	collocation	NOUN
ajst-16292	7	20	-	-	PUNCT
ajst-16292	7	21	based	base	VERB
ajst-16292	7	22	physics	physics	NOUN
ajst-16292	7	23	-	-	PUNCT
ajst-16292	7	24	informed	inform	VERB
ajst-16292	7	25	neural	neural	ADJ
ajst-16292	7	26	networks	network	NOUN
ajst-16292	7	27	,	,	PUNCT
ajst-16292	7	28	extending	extend	VERB
ajst-16292	7	29	beyond	beyond	ADP
ajst-16292	7	30	the	the	DET
ajst-16292	7	31	core	core	NOUN
ajst-16292	7	32	pinn	pinn	NOUN
ajst-16292	7	33	model	model	NOUN
ajst-16292	7	34	.	.	PUNCT
ajst-16292	8	1	variants	variant	NOUN
ajst-16292	8	2	like	like	ADP
ajst-16292	8	3	physics	physics	NOUN
ajst-16292	8	4	-	-	PUNCT
ajst-16292	8	5	constrained	constrain	VERB
ajst-16292	8	6	neural	neural	ADJ
ajst-16292	8	7	networks	network	NOUN
ajst-16292	8	8	(	(	PUNCT
ajst-16292	8	9	pcnn	pcnn	PROPN
ajst-16292	8	10	)	)	PUNCT
ajst-16292	8	11	,	,	PUNCT
ajst-16292	8	12	variational	variational	ADJ
ajst-16292	8	13	hp	hp	NOUN
ajst-16292	8	14	-	-	NOUN
ajst-16292	8	15	vpinn	vpinn	NOUN
ajst-16292	8	16	,	,	PUNCT
ajst-16292	8	17	and	and	CCONJ
ajst-16292	8	18	conservative	conservative	ADJ
ajst-16292	8	19	pinn	pinn	NOUN
ajst-16292	8	20	(	(	PUNCT
ajst-16292	8	21	cpinn	cpinn	NOUN
ajst-16292	8	22	)	)	PUNCT
ajst-16292	8	23	constitute	constitute	VERB
ajst-16292	8	24	pivotal	pivotal	ADJ
ajst-16292	8	25	aspects	aspect	NOUN
ajst-16292	8	26	of	of	ADP
ajst-16292	8	27	this	this	DET
ajst-16292	8	28	exploration	exploration	NOUN
ajst-16292	8	29	.	.	PUNCT
ajst-16292	9	1	the	the	DET
ajst-16292	9	2	study	study	NOUN
ajst-16292	9	3	accentuates	accentuate	VERB
ajst-16292	9	4	a	a	DET
ajst-16292	9	5	predominant	predominant	ADJ
ajst-16292	9	6	focus	focus	NOUN
ajst-16292	9	7	in	in	ADP
ajst-16292	9	8	research	research	NOUN
ajst-16292	9	9	on	on	ADP
ajst-16292	9	10	tailoring	tailor	VERB
ajst-16292	9	11	pinns	pinn	NOUN
ajst-16292	9	12	through	through	ADP
ajst-16292	9	13	diverse	diverse	ADJ
ajst-16292	9	14	strategies	strategy	NOUN
ajst-16292	9	15	:	:	PUNCT
ajst-16292	9	16	adapting	adapt	VERB
ajst-16292	9	17	activation	activation	NOUN
ajst-16292	9	18	functions	function	NOUN
ajst-16292	9	19	,	,	PUNCT
ajst-16292	9	20	refining	refine	VERB
ajst-16292	9	21	gradient	gradient	NOUN
ajst-16292	9	22	optimization	optimization	NOUN
ajst-16292	9	23	techniques	technique	NOUN
ajst-16292	9	24	,	,	PUNCT
ajst-16292	9	25	innovating	innovate	VERB
ajst-16292	9	26	neural	neural	ADJ
ajst-16292	9	27	network	network	NOUN
ajst-16292	9	28	structures	structure	NOUN
ajst-16292	9	29	,	,	PUNCT
ajst-16292	9	30	and	and	CCONJ
ajst-16292	9	31	enhancing	enhance	VERB
ajst-16292	9	32	loss	loss	NOUN
ajst-16292	9	33	function	function	NOUN
ajst-16292	9	34	architectures	architecture	NOUN
ajst-16292	9	35	.	.	PUNCT
ajst-16292	10	1	despite	despite	SCONJ
ajst-16292	10	2	the	the	DET
ajst-16292	10	3	extensive	extensive	ADJ
ajst-16292	10	4	applicability	applicability	NOUN
ajst-16292	10	5	demonstrated	demonstrate	VERB
ajst-16292	10	6	by	by	ADP
ajst-16292	10	7	pinns	pinn	NOUN
ajst-16292	10	8	,	,	PUNCT
ajst-16292	10	9	surpassing	surpass	VERB
ajst-16292	10	10	classical	classical	ADJ
ajst-16292	10	11	numerical	numerical	ADJ
ajst-16292	10	12	methods	method	NOUN
ajst-16292	10	13	like	like	ADP
ajst-16292	10	14	finite	finite	PROPN
ajst-16292	10	15	element	element	NOUN
ajst-16292	10	16	method	method	NOUN
ajst-16292	10	17	(	(	PUNCT
ajst-16292	10	18	fem	fem	NOUN
ajst-16292	10	19	)	)	PUNCT
ajst-16292	10	20	in	in	ADP
ajst-16292	10	21	certain	certain	ADJ
ajst-16292	10	22	contexts	context	NOUN
ajst-16292	10	23	,	,	PUNCT
ajst-16292	10	24	the	the	DET
ajst-16292	10	25	review	review	NOUN
ajst-16292	10	26	highlights	highlight	VERB
ajst-16292	10	27	ongoing	ongoing	ADJ
ajst-16292	10	28	opportunities	opportunity	NOUN
ajst-16292	10	29	for	for	ADP
ajst-16292	10	30	advancement	advancement	NOUN
ajst-16292	10	31	.	.	PUNCT
ajst-16292	11	1	notably	notably	ADV
ajst-16292	11	2	,	,	PUNCT
ajst-16292	11	3	there	there	PRON
ajst-16292	11	4	are	be	VERB
ajst-16292	11	5	persisting	persist	VERB
ajst-16292	11	6	theoretical	theoretical	ADJ
ajst-16292	11	7	challenges	challenge	NOUN
ajst-16292	11	8	that	that	PRON
ajst-16292	11	9	demand	demand	NOUN
ajst-16292	11	10	resolution	resolution	NOUN
ajst-16292	11	11	,	,	PUNCT
ajst-16292	11	12	ensuring	ensure	VERB
ajst-16292	11	13	the	the	DET
ajst-16292	11	14	continued	continued	ADJ
ajst-16292	11	15	evolution	evolution	NOUN
ajst-16292	11	16	and	and	CCONJ
ajst-16292	11	17	refinement	refinement	NOUN
ajst-16292	11	18	of	of	ADP
ajst-16292	11	19	this	this	DET
ajst-16292	11	20	revolutionary	revolutionary	ADJ
ajst-16292	11	21	approach	approach	NOUN
ajst-16292	11	22	.	.	PUNCT
ajst-16292	12	1	keywords	keyword	NOUN
ajst-16292	12	2	:	:	PUNCT
ajst-16292	12	3	physics	physics	NOUN
ajst-16292	12	4	–	–	PUNCT
ajst-16292	12	5	informed	inform	VERB
ajst-16292	12	6	neural	neural	ADJ
ajst-16292	12	7	networks	network	NOUN
ajst-16292	12	8	,	,	PUNCT
ajst-16292	12	9	machine	machine	NOUN
ajst-16292	12	10	learning	learning	PROPN
ajst-16292	12	11	,	,	PUNCT
ajst-16292	12	12	numerical	numerical	ADJ
ajst-16292	12	13	methods	method	NOUN
ajst-16292	12	14	,	,	PUNCT
ajst-16292	12	15	partial	partial	ADJ
ajst-16292	12	16	differential	differential	NOUN
ajst-16292	12	17	equations	equation	NOUN
ajst-16292	12	18	.	.	PUNCT
ajst-16292	13	1	1	1	X
ajst-16292	13	2	.	.	X
ajst-16292	13	3	introduction	introduction	NOUN
ajst-16292	13	4	deep	deep	ADJ
ajst-16292	13	5	neural	neural	ADJ
ajst-16292	13	6	networks	network	NOUN
ajst-16292	13	7	have	have	AUX
ajst-16292	13	8	excelled	excel	VERB
ajst-16292	13	9	across	across	ADP
ajst-16292	13	10	diverse	diverse	ADJ
ajst-16292	13	11	domains	domain	NOUN
ajst-16292	13	12	like	like	ADP
ajst-16292	13	13	remote	remote	ADJ
ajst-16292	13	14	sensing[1	sensing[1	PROPN
ajst-16292	13	15	,	,	PUNCT
ajst-16292	13	16	2	2	NUM
ajst-16292	13	17	]	]	PUNCT
ajst-16292	13	18	,	,	PUNCT
ajst-16292	13	19	computer	computer	NOUN
ajst-16292	13	20	vision[3	vision[3	PROPN
ajst-16292	13	21	,	,	PUNCT
ajst-16292	13	22	4	4	NUM
ajst-16292	13	23	]	]	PUNCT
ajst-16292	13	24	,	,	PUNCT
ajst-16292	13	25	risk	risk	NOUN
ajst-16292	13	26	prevention[5	prevention[5	NOUN
ajst-16292	13	27	]	]	PUNCT
ajst-16292	13	28	,	,	PUNCT
ajst-16292	13	29	optimization[6	optimization[6	ADJ
ajst-16292	13	30	,	,	PUNCT
ajst-16292	13	31	7	7	NUM
ajst-16292	13	32	]	]	PUNCT
ajst-16292	13	33	,	,	PUNCT
ajst-16292	13	34	pattern	pattern	NOUN
ajst-16292	13	35	recognition[3	recognition[3	PROPN
ajst-16292	13	36	,	,	PUNCT
ajst-16292	13	37	8	8	NUM
ajst-16292	13	38	,	,	PUNCT
ajst-16292	13	39	9	9	NUM
ajst-16292	13	40	]	]	PUNCT
ajst-16292	13	41	,	,	PUNCT
ajst-16292	13	42	regression	regression	NOUN
ajst-16292	13	43	tasks[10	tasks[10	NOUN
ajst-16292	13	44	]	]	PUNCT
ajst-16292	13	45	and	and	CCONJ
ajst-16292	13	46	hyperspectral	hyperspectral	ADJ
ajst-16292	13	47	imaging[11	imaging[11	PROPN
ajst-16292	13	48	-	-	SYM
ajst-16292	13	49	14	14	NUM
ajst-16292	13	50	]	]	PUNCT
ajst-16292	13	51	are	be	AUX
ajst-16292	13	52	executed	execute	VERB
ajst-16292	13	53	.	.	PUNCT
ajst-16292	14	1	in	in	ADP
ajst-16292	14	2	applied	applied	ADJ
ajst-16292	14	3	mathematics	mathematic	NOUN
ajst-16292	14	4	,	,	PUNCT
ajst-16292	14	5	the	the	DET
ajst-16292	14	6	application	application	NOUN
ajst-16292	14	7	of	of	ADP
ajst-16292	14	8	deep	deep	ADJ
ajst-16292	14	9	learning	learning	NOUN
ajst-16292	14	10	techniques	technique	NOUN
ajst-16292	14	11	to	to	ADP
ajst-16292	14	12	classical	classical	ADJ
ajst-16292	14	13	problems	problem	NOUN
ajst-16292	14	14	,	,	PUNCT
ajst-16292	14	15	such	such	ADJ
ajst-16292	14	16	as	as	ADP
ajst-16292	14	17	partial	partial	ADJ
ajst-16292	14	18	differential	differential	ADJ
ajst-16292	14	19	equations	equation	NOUN
ajst-16292	14	20	(	(	PUNCT
ajst-16292	14	21	pdes	pde	NOUN
ajst-16292	14	22	)	)	PUNCT
ajst-16292	14	23	,	,	PUNCT
ajst-16292	14	24	marks	mark	VERB
ajst-16292	14	25	a	a	DET
ajst-16292	14	26	significant	significant	ADJ
ajst-16292	14	27	trend	trend	NOUN
ajst-16292	14	28	.	.	PUNCT
ajst-16292	15	1	traditional	traditional	ADJ
ajst-16292	15	2	numerical	numerical	ADJ
ajst-16292	15	3	approaches	approach	NOUN
ajst-16292	15	4	become	become	VERB
ajst-16292	15	5	difficult	difficult	ADJ
ajst-16292	15	6	when	when	SCONJ
ajst-16292	15	7	faced	face	VERB
ajst-16292	15	8	with	with	ADP
ajst-16292	15	9	pdes	pde	NOUN
ajst-16292	15	10	featuring	feature	VERB
ajst-16292	15	11	substantial	substantial	ADJ
ajst-16292	15	12	nonlinearities	nonlinearitie	NOUN
ajst-16292	15	13	,	,	PUNCT
ajst-16292	15	14	convection	convection	NOUN
ajst-16292	15	15	dominance	dominance	NOUN
ajst-16292	15	16	,	,	PUNCT
ajst-16292	15	17	or	or	CCONJ
ajst-16292	15	18	shocks	shock	NOUN
ajst-16292	15	19	.	.	PUNCT
ajst-16292	16	1	enter	enter	VERB
ajst-16292	16	2	deep	deep	ADJ
ajst-16292	16	3	learning	learning	NOUN
ajst-16292	16	4	,	,	PUNCT
ajst-16292	16	5	presenting	present	VERB
ajst-16292	16	6	a	a	DET
ajst-16292	16	7	new	new	ADJ
ajst-16292	16	8	paradigm	paradigm	NOUN
ajst-16292	16	9	in	in	ADP
ajst-16292	16	10	scientific	scientific	ADJ
ajst-16292	16	11	computing	computing	NOUN
ajst-16292	16	12	due	due	ADP
ajst-16292	16	13	to	to	ADP
ajst-16292	16	14	the	the	DET
ajst-16292	16	15	remarkable	remarkable	ADJ
ajst-16292	16	16	universal	universal	ADJ
ajst-16292	16	17	approximation	approximation	NOUN
ajst-16292	16	18	and	and	CCONJ
ajst-16292	16	19	expressiveness	expressiveness	NOUN
ajst-16292	16	20	of	of	ADP
ajst-16292	16	21	neural	neural	ADJ
ajst-16292	16	22	networks	network	NOUN
ajst-16292	16	23	.	.	PUNCT
ajst-16292	17	1	recent	recent	ADJ
ajst-16292	17	2	studies	study	NOUN
ajst-16292	17	3	underscore	underscore	VERB
ajst-16292	17	4	the	the	DET
ajst-16292	17	5	potential	potential	NOUN
ajst-16292	17	6	of	of	ADP
ajst-16292	17	7	deep	deep	ADJ
ajst-16292	17	8	learning	learning	NOUN
ajst-16292	17	9	in	in	ADP
ajst-16292	17	10	constructing	construct	VERB
ajst-16292	17	11	meta	meta	ADJ
ajst-16292	17	12	-	-	PUNCT
ajst-16292	17	13	models	model	NOUN
ajst-16292	17	14	for	for	ADP
ajst-16292	17	15	rapid	rapid	ADJ
ajst-16292	17	16	predictions	prediction	NOUN
ajst-16292	17	17	in	in	ADP
ajst-16292	17	18	dynamic	dynamic	ADJ
ajst-16292	17	19	systems	system	NOUN
ajst-16292	17	20	,	,	PUNCT
ajst-16292	17	21	adeptly	adeptly	ADV
ajst-16292	17	22	capturing	capture	VERB
ajst-16292	17	23	intricate	intricate	ADJ
ajst-16292	17	24	nonlinear	nonlinear	ADJ
ajst-16292	17	25	input	input	NOUN
ajst-16292	17	26	-	-	PUNCT
ajst-16292	17	27	output	output	NOUN
ajst-16292	17	28	relationships	relationship	NOUN
ajst-16292	17	29	.	.	PUNCT
ajst-16292	18	1	yet	yet	ADV
ajst-16292	18	2	,	,	PUNCT
ajst-16292	18	3	grappling	grapple	VERB
ajst-16292	18	4	with	with	ADP
ajst-16292	18	5	the	the	DET
ajst-16292	18	6	intricacies	intricacy	NOUN
ajst-16292	18	7	of	of	ADP
ajst-16292	18	8	high	high	ADJ
ajst-16292	18	9	-	-	PUNCT
ajst-16292	18	10	dimensional	dimensional	ADJ
ajst-16292	18	11	complex	complex	ADJ
ajst-16292	18	12	systems	system	NOUN
ajst-16292	18	13	encounters	encounter	VERB
ajst-16292	18	14	the	the	DET
ajst-16292	18	15	challenge	challenge	NOUN
ajst-16292	18	16	of	of	ADP
ajst-16292	18	17	dimensionality	dimensionality	NOUN
ajst-16292	18	18	,	,	PUNCT
ajst-16292	18	19	a	a	DET
ajst-16292	18	20	hurdle	hurdle	NOUN
ajst-16292	18	21	notably	notably	ADV
ajst-16292	18	22	articulated	articulate	VERB
ajst-16292	18	23	by	by	ADP
ajst-16292	18	24	bellman	bellman	NOUN
ajst-16292	18	25	in	in	ADP
ajst-16292	18	26	optimal	optimal	ADJ
ajst-16292	18	27	control	control	NOUN
ajst-16292	18	28	problems	problem	NOUN
ajst-16292	18	29	.	.	PUNCT
ajst-16292	19	1	nevertheless	nevertheless	ADV
ajst-16292	19	2	,	,	PUNCT
ajst-16292	19	3	machine	machine	NOUN
ajst-16292	19	4	learning	learning	NOUN
ajst-16292	19	5	-	-	PUNCT
ajst-16292	19	6	based	base	VERB
ajst-16292	19	7	algorithms	algorithm	NOUN
ajst-16292	19	8	offer	offer	VERB
ajst-16292	19	9	promising	promise	VERB
ajst-16292	19	10	prospects	prospect	NOUN
ajst-16292	19	11	for	for	ADP
ajst-16292	19	12	tackling	tackle	VERB
ajst-16292	19	13	pdes	pde	NOUN
ajst-16292	19	14	[	[	X
ajst-16292	19	15	15	15	NUM
ajst-16292	19	16	]	]	PUNCT
ajst-16292	19	17	.	.	PUNCT
ajst-16292	20	1	forecasts	forecast	NOUN
ajst-16292	20	2	suggest	suggest	VERB
ajst-16292	20	3	that	that	SCONJ
ajst-16292	20	4	machine	machine	NOUN
ajst-16292	20	5	learning	learning	NOUN
ajst-16292	20	6	-	-	PUNCT
ajst-16292	20	7	driven	drive	VERB
ajst-16292	20	8	pdesolving	pdesolving	NOUN
ajst-16292	20	9	methods	method	NOUN
ajst-16292	20	10	will	will	AUX
ajst-16292	20	11	remain	remain	VERB
ajst-16292	20	12	a	a	DET
ajst-16292	20	13	focal	focal	ADJ
ajst-16292	20	14	point	point	NOUN
ajst-16292	20	15	as	as	SCONJ
ajst-16292	20	16	deep	deep	ADJ
ajst-16292	20	17	learning	learning	NOUN
ajst-16292	20	18	evolves	evolve	VERB
ajst-16292	20	19	through	through	ADP
ajst-16292	20	20	methodological	methodological	ADJ
ajst-16292	20	21	,	,	PUNCT
ajst-16292	20	22	theoretical	theoretical	ADJ
ajst-16292	20	23	,	,	PUNCT
ajst-16292	20	24	and	and	CCONJ
ajst-16292	20	25	algorithmic	algorithmic	ADJ
ajst-16292	20	26	advancements[15	advancements[15	NOUN
ajst-16292	20	27	,	,	PUNCT
ajst-16292	20	28	16	16	NUM
ajst-16292	20	29	]	]	PUNCT
ajst-16292	20	30	.	.	PUNCT
ajst-16292	21	1	early	early	ADJ
ajst-16292	21	2	attempts	attempt	NOUN
ajst-16292	21	3	at	at	ADP
ajst-16292	21	4	solving	solve	VERB
ajst-16292	21	5	differential	differential	ADJ
ajst-16292	21	6	equations	equation	NOUN
ajst-16292	21	7	employed	employ	VERB
ajst-16292	21	8	simplistic	simplistic	ADJ
ajst-16292	21	9	neural	neural	ADJ
ajst-16292	21	10	network	network	NOUN
ajst-16292	21	11	models	model	NOUN
ajst-16292	21	12	like	like	ADP
ajst-16292	21	13	multi	multi	ADJ
ajst-16292	21	14	-	-	ADJ
ajst-16292	21	15	layer	layer	ADJ
ajst-16292	21	16	perceptron	perceptron	PROPN
ajst-16292	21	17	’s	’s	PART
ajst-16292	21	18	(	(	PUNCT
ajst-16292	21	19	mlps	mlp	NOUN
ajst-16292	21	20	)	)	PUNCT
ajst-16292	21	21	with	with	ADP
ajst-16292	21	22	minimal	minimal	ADJ
ajst-16292	21	23	hidden	hidden	ADJ
ajst-16292	21	24	layers[17	layers[17	NOUN
ajst-16292	21	25	]	]	PUNCT
ajst-16292	21	26	.	.	PUNCT
ajst-16292	22	1	contemporary	contemporary	ADJ
ajst-16292	22	2	approaches	approach	NOUN
ajst-16292	22	3	,	,	PUNCT
ajst-16292	22	4	leveraging	leverage	VERB
ajst-16292	22	5	nn	nn	X
ajst-16292	22	6	techniques	technique	NOUN
ajst-16292	22	7	,	,	PUNCT
ajst-16292	22	8	harness	harness	ADJ
ajst-16292	22	9	optimization	optimization	NOUN
ajst-16292	22	10	frameworks	framework	NOUN
ajst-16292	22	11	and	and	CCONJ
ajst-16292	22	12	autodifferentiation	autodifferentiation	NOUN
ajst-16292	22	13	techniques	technique	NOUN
ajst-16292	22	14	,	,	PUNCT
ajst-16292	22	15	exemplified	exemplify	VERB
ajst-16292	22	16	by	by	ADP
ajst-16292	22	17	berg	berg	PROPN
ajst-16292	22	18	and	and	CCONJ
ajst-16292	22	19	nyström	nyström	PROPN
ajst-16292	22	20	's	's	PART
ajst-16292	22	21	unified	unify	VERB
ajst-16292	22	22	deep	deep	ADJ
ajst-16292	22	23	neural	neural	ADJ
ajst-16292	22	24	network	network	NOUN
ajst-16292	22	25	method	method	NOUN
ajst-16292	22	26	for	for	ADP
ajst-16292	22	27	estimating	estimate	VERB
ajst-16292	22	28	pde	pde	PROPN
ajst-16292	22	29	solutions[16	solutions[16	PROPN
ajst-16292	22	30	,	,	PUNCT
ajst-16292	22	31	18	18	NUM
ajst-16292	22	32	,	,	PUNCT
ajst-16292	22	33	19	19	NUM
ajst-16292	22	34	]	]	PUNCT
ajst-16292	22	35	.	.	PUNCT
ajst-16292	23	1	additionally	additionally	ADV
ajst-16292	23	2	,	,	PUNCT
ajst-16292	23	3	the	the	DET
ajst-16292	23	4	envisioned	envision	VERB
ajst-16292	23	5	potential	potential	NOUN
ajst-16292	23	6	of	of	ADP
ajst-16292	23	7	deep	deep	ADJ
ajst-16292	23	8	neural	neural	ADJ
ajst-16292	23	9	networks	network	NOUN
ajst-16292	23	10	to	to	PART
ajst-16292	23	11	construct	construct	VERB
ajst-16292	23	12	interpretable	interpretable	ADJ
ajst-16292	23	13	hybrid	hybrid	ADJ
ajst-16292	23	14	earth	earth	NOUN
ajst-16292	23	15	system	system	NOUN
ajst-16292	23	16	models	model	NOUN
ajst-16292	23	17	for	for	ADP
ajst-16292	23	18	earth	earth	NOUN
ajst-16292	23	19	and	and	CCONJ
ajst-16292	23	20	climate	climate	NOUN
ajst-16292	23	21	sciences	science	NOUN
ajst-16292	23	22	further	far	ADV
ajst-16292	23	23	underscores	underscore	VERB
ajst-16292	23	24	their	their	PRON
ajst-16292	23	25	significance[18	significance[18	NOUN
ajst-16292	23	26	]	]	PUNCT
ajst-16292	23	27	.	.	PUNCT
ajst-16292	24	1	presently	presently	ADV
ajst-16292	24	2	,	,	PUNCT
ajst-16292	24	3	the	the	DET
ajst-16292	24	4	literature	literature	NOUN
ajst-16292	24	5	lacks	lack	VERB
ajst-16292	24	6	a	a	DET
ajst-16292	24	7	standardized	standardized	ADJ
ajst-16292	24	8	nomenclature	nomenclature	NOUN
ajst-16292	24	9	for	for	ADP
ajst-16292	24	10	integrating	integrate	VERB
ajst-16292	24	11	prior	prior	ADJ
ajst-16292	24	12	physical	physical	ADJ
ajst-16292	24	13	knowledge	knowledge	NOUN
ajst-16292	24	14	with	with	ADP
ajst-16292	24	15	deep	deep	ADJ
ajst-16292	24	16	learning	learning	NOUN
ajst-16292	24	17	.	.	PUNCT
ajst-16292	25	1	terms	term	NOUN
ajst-16292	25	2	like	like	ADP
ajst-16292	25	3	'	'	PUNCT
ajst-16292	25	4	physics	physics	NOUN
ajst-16292	25	5	-	-	PUNCT
ajst-16292	25	6	informed	inform	VERB
ajst-16292	25	7	,	,	PUNCT
ajst-16292	25	8	'	'	PUNCT
ajst-16292	25	9	'	'	PUNCT
ajst-16292	25	10	physics	physics	NOUN
ajst-16292	25	11	-	-	PUNCT
ajst-16292	25	12	based	base	VERB
ajst-16292	25	13	,	,	PUNCT
ajst-16292	25	14	'	'	PUNCT
ajst-16292	25	15	'	'	PUNCT
ajst-16292	25	16	physicsguided	physicsguide	VERB
ajst-16292	25	17	,	,	PUNCT
ajst-16292	25	18	'	'	PUNCT
ajst-16292	25	19	and	and	CCONJ
ajst-16292	25	20	'	'	PUNCT
ajst-16292	25	21	theory	theory	NOUN
ajst-16292	25	22	-	-	PUNCT
ajst-16292	25	23	guided	guide	VERB
ajst-16292	25	24	'	'	PUNCT
ajst-16292	25	25	are	be	AUX
ajst-16292	25	26	variably	variably	ADV
ajst-16292	25	27	used	use	VERB
ajst-16292	25	28	.	.	PUNCT
ajst-16292	26	1	some	some	DET
ajst-16292	26	2	researchers[20	researchers[20	NOUN
ajst-16292	26	3	]	]	PUNCT
ajst-16292	26	4	introduced	introduce	VERB
ajst-16292	26	5	a	a	DET
ajst-16292	26	6	comprehensive	comprehensive	ADJ
ajst-16292	26	7	taxonomy	taxonomy	NOUN
ajst-16292	26	8	,	,	PUNCT
ajst-16292	26	9	termed	term	VERB
ajst-16292	26	10	'	'	PUNCT
ajst-16292	26	11	informed	inform	VERB
ajst-16292	26	12	deep	deep	ADJ
ajst-16292	26	13	learning	learning	NOUN
ajst-16292	26	14	,	,	PUNCT
ajst-16292	26	15	'	'	PUNCT
ajst-16292	26	16	organizing	organize	VERB
ajst-16292	26	17	it	it	PRON
ajst-16292	26	18	into	into	ADP
ajst-16292	26	19	three	three	NUM
ajst-16292	26	20	core	core	ADJ
ajst-16292	26	21	conceptual	conceptual	ADJ
ajst-16292	26	22	stages	stage	NOUN
ajst-16292	26	23	:	:	PUNCT
ajst-16292	26	24	delineating	delineate	VERB
ajst-16292	26	25	the	the	DET
ajst-16292	26	26	type	type	NOUN
ajst-16292	26	27	of	of	ADP
ajst-16292	26	28	deep	deep	ADJ
ajst-16292	26	29	neural	neural	ADJ
ajst-16292	26	30	network	network	NOUN
ajst-16292	26	31	used	use	VERB
ajst-16292	26	32	,	,	PUNCT
ajst-16292	26	33	representing	represent	VERB
ajst-16292	26	34	physical	physical	ADJ
ajst-16292	26	35	knowledge	knowledge	NOUN
ajst-16292	26	36	,	,	PUNCT
ajst-16292	26	37	and	and	CCONJ
ajst-16292	26	38	integrating	integrate	VERB
ajst-16292	26	39	this	this	DET
ajst-16292	26	40	information	information	NOUN
ajst-16292	26	41	.	.	PUNCT
ajst-16292	27	1	inspired	inspire	VERB
ajst-16292	27	2	by	by	ADP
ajst-16292	27	3	their	their	PRON
ajst-16292	27	4	framework	framework	NOUN
ajst-16292	27	5	,	,	PUNCT
ajst-16292	27	6	this	this	DET
ajst-16292	27	7	exploration	exploration	NOUN
ajst-16292	27	8	will	will	AUX
ajst-16292	27	9	delve	delve	VERB
ajst-16292	27	10	into	into	ADP
ajst-16292	27	11	physics	physics	NOUN
ajst-16292	27	12	-	-	PUNCT
ajst-16292	27	13	informed	inform	VERB
ajst-16292	27	14	neural	neural	ADJ
ajst-16292	27	15	networks	network	NOUN
ajst-16292	27	16	(	(	PUNCT
ajst-16292	27	17	pinns	pinn	NOUN
ajst-16292	27	18	)	)	PUNCT
ajst-16292	27	19	,	,	PUNCT
ajst-16292	27	20	introduced	introduce	VERB
ajst-16292	27	21	in	in	ADP
ajst-16292	27	22	2017	2017	NUM
ajst-16292	27	23	,	,	PUNCT
ajst-16292	27	24	elucidating	elucidate	VERB
ajst-16292	27	25	how	how	SCONJ
ajst-16292	27	26	neural	neural	ADJ
ajst-16292	27	27	network	network	NOUN
ajst-16292	27	28	features	feature	NOUN
ajst-16292	27	29	are	be	AUX
ajst-16292	27	30	employed	employ	VERB
ajst-16292	27	31	,	,	PUNCT
ajst-16292	27	32	how	how	SCONJ
ajst-16292	27	33	physical	physical	ADJ
ajst-16292	27	34	information	information	NOUN
ajst-16292	27	35	is	be	AUX
ajst-16292	27	36	incorporated	incorporate	VERB
ajst-16292	27	37	,	,	PUNCT
ajst-16292	27	38	and	and	CCONJ
ajst-16292	27	39	which	which	DET
ajst-16292	27	40	physical	physical	ADJ
ajst-16292	27	41	problems	problem	NOUN
ajst-16292	27	42	have	have	AUX
ajst-16292	27	43	found	find	VERB
ajst-16292	27	44	resolution	resolution	NOUN
ajst-16292	27	45	within	within	ADP
ajst-16292	27	46	the	the	DET
ajst-16292	27	47	literature	literature	NOUN
ajst-16292	27	48	.	.	PUNCT
ajst-16292	28	1	2	2	X
ajst-16292	28	2	.	.	X
ajst-16292	28	3	physics	physics	NOUN
ajst-16292	28	4	-	-	PUNCT
ajst-16292	28	5	informed	inform	VERB
ajst-16292	28	6	neural	neural	ADJ
ajst-16292	28	7	networks	network	NOUN
ajst-16292	28	8	concept	concept	NOUN
ajst-16292	28	9	physics	physics	NOUN
ajst-16292	28	10	-	-	PUNCT
ajst-16292	28	11	informed	inform	VERB
ajst-16292	28	12	neural	neural	ADJ
ajst-16292	28	13	networks	network	NOUN
ajst-16292	28	14	(	(	PUNCT
ajst-16292	28	15	pinns	pinns	ADJ
ajst-16292	28	16	)	)	PUNCT
ajst-16292	28	17	serve	serve	VERB
ajst-16292	28	18	as	as	ADP
ajst-16292	28	19	a	a	DET
ajst-16292	28	20	potent	potent	ADJ
ajst-16292	28	21	scientific	scientific	ADJ
ajst-16292	28	22	machine	machine	NOUN
ajst-16292	28	23	learning	learn	VERB
ajst-16292	28	24	tool	tool	NOUN
ajst-16292	28	25	tailored	tailor	VERB
ajst-16292	28	26	for	for	ADP
ajst-16292	28	27	solving	solve	VERB
ajst-16292	28	28	problems	problem	NOUN
ajst-16292	28	29	entrenched	entrench	VERB
ajst-16292	28	30	in	in	ADP
ajst-16292	28	31	partial	partial	ADJ
ajst-16292	28	32	differential	differential	ADJ
ajst-16292	28	33	equations	equation	NOUN
ajst-16292	28	34	(	(	PUNCT
ajst-16292	28	35	pdes	pde	NOUN
ajst-16292	28	36	)	)	PUNCT
ajst-16292	28	37	.	.	PUNCT
ajst-16292	29	1	the	the	DET
ajst-16292	29	2	crux	crux	NOUN
ajst-16292	29	3	of	of	ADP
ajst-16292	29	4	pinns	pinns	ADJ
ajst-16292	29	5	lies	lie	NOUN
ajst-16292	29	6	in	in	ADP
ajst-16292	29	7	approximating	approximate	VERB
ajst-16292	29	8	pde	pde	NOUN
ajst-16292	29	9	solutions	solution	NOUN
ajst-16292	29	10	by	by	ADP
ajst-16292	29	11	training	train	VERB
ajst-16292	29	12	neural	neural	ADJ
ajst-16292	29	13	networks	network	NOUN
ajst-16292	29	14	to	to	PART
ajst-16292	29	15	minimize	minimize	VERB
ajst-16292	29	16	a	a	DET
ajst-16292	29	17	loss	loss	NOUN
ajst-16292	29	18	function	function	NOUN
ajst-16292	29	19	that	that	PRON
ajst-16292	29	20	encapsulates	encapsulate	VERB
ajst-16292	29	21	critical	critical	ADJ
ajst-16292	29	22	elements	element	NOUN
ajst-16292	29	23	:	:	PUNCT
ajst-16292	29	24	initial	initial	ADJ
ajst-16292	29	25	and	and	CCONJ
ajst-16292	29	26	boundary	boundary	ADJ
ajst-16292	29	27	conditions	condition	NOUN
ajst-16292	29	28	across	across	ADP
ajst-16292	29	29	the	the	DET
ajst-16292	29	30	space	space	NOUN
ajst-16292	29	31	-	-	PUNCT
ajst-16292	29	32	time	time	NOUN
ajst-16292	29	33	domain	domain	NOUN
ajst-16292	29	34	,	,	PUNCT
ajst-16292	29	35	alongside	alongside	ADP
ajst-16292	29	36	the	the	DET
ajst-16292	29	37	pde	pde	PROPN
ajst-16292	29	38	residual	residual	ADJ
ajst-16292	29	39	pinpointed	pinpointed	NOUN
ajst-16292	29	40	at	at	ADP
ajst-16292	29	41	selected	select	VERB
ajst-16292	29	42	collocation	collocation	NOUN
ajst-16292	29	43	points	point	NOUN
ajst-16292	29	44	within	within	ADP
ajst-16292	29	45	the	the	DET
ajst-16292	29	46	domain	domain	NOUN
ajst-16292	29	47	.	.	PUNCT
ajst-16292	30	1	these	these	DET
ajst-16292	30	2	deep	deep	ADJ
ajst-16292	30	3	-	-	PUNCT
ajst-16292	30	4	learning	learn	VERB
ajst-16292	30	5	networks	network	NOUN
ajst-16292	30	6	,	,	PUNCT
ajst-16292	30	7	constituting	constitute	VERB
ajst-16292	30	8	pinns	pinn	NOUN
ajst-16292	30	9	,	,	PUNCT
ajst-16292	30	10	yield	yield	VERB
ajst-16292	30	11	estimated	estimate	VERB
ajst-16292	30	12	solutions	solution	NOUN
ajst-16292	30	13	at	at	ADP
ajst-16292	30	14	designated	designate	VERB
ajst-16292	30	15	points	point	NOUN
ajst-16292	30	16	within	within	ADP
ajst-16292	30	17	a	a	DET
ajst-16292	30	18	differential	differential	ADJ
ajst-16292	30	19	equation	equation	NOUN
ajst-16292	30	20	's	's	PART
ajst-16292	30	21	integration	integration	NOUN
ajst-16292	30	22	domain	domain	VERB
ajst-16292	30	23	post	post	NOUN
ajst-16292	30	24	-	-	NOUN
ajst-16292	30	25	training	training	NOUN
ajst-16292	30	26	.	.	PUNCT
ajst-16292	31	1	47	47	NUM
ajst-16292	32	1	what	what	PRON
ajst-16292	32	2	sets	set	VERB
ajst-16292	32	3	pinns	pinn	NOUN
ajst-16292	32	4	apart	apart	ADV
ajst-16292	32	5	is	be	AUX
ajst-16292	32	6	the	the	DET
ajst-16292	32	7	incorporation	incorporation	NOUN
ajst-16292	32	8	of	of	ADP
ajst-16292	32	9	a	a	DET
ajst-16292	32	10	residual	residual	ADJ
ajst-16292	32	11	network	network	NOUN
ajst-16292	32	12	encoding	encode	VERB
ajst-16292	32	13	the	the	DET
ajst-16292	32	14	governing	govern	VERB
ajst-16292	32	15	physics	physics	NOUN
ajst-16292	32	16	equations	equation	NOUN
ajst-16292	32	17	,	,	PUNCT
ajst-16292	32	18	a	a	DET
ajst-16292	32	19	hallmark	hallmark	ADJ
ajst-16292	32	20	novelty	novelty	NOUN
ajst-16292	32	21	.	.	PUNCT
ajst-16292	33	1	the	the	DET
ajst-16292	33	2	training	training	NOUN
ajst-16292	33	3	process	process	NOUN
ajst-16292	33	4	of	of	ADP
ajst-16292	33	5	pinns	pinns	ADJ
ajst-16292	33	6	functions	function	NOUN
ajst-16292	33	7	as	as	ADP
ajst-16292	33	8	an	an	DET
ajst-16292	33	9	unsupervised	unsupervised	ADJ
ajst-16292	33	10	strategy	strategy	NOUN
ajst-16292	33	11	,	,	PUNCT
ajst-16292	33	12	eschewing	eschew	VERB
ajst-16292	33	13	the	the	DET
ajst-16292	33	14	need	need	NOUN
ajst-16292	33	15	for	for	ADP
ajst-16292	33	16	labeled	label	VERB
ajst-16292	33	17	data	datum	NOUN
ajst-16292	33	18	stemming	stem	VERB
ajst-16292	33	19	from	from	ADP
ajst-16292	33	20	prior	prior	ADJ
ajst-16292	33	21	simulations	simulation	NOUN
ajst-16292	33	22	or	or	CCONJ
ajst-16292	33	23	experiments	experiment	NOUN
ajst-16292	33	24	.	.	PUNCT
ajst-16292	34	1	essentially	essentially	ADV
ajst-16292	34	2	,	,	PUNCT
ajst-16292	34	3	the	the	DET
ajst-16292	34	4	pinn	pinn	NOUN
ajst-16292	34	5	algorithm	algorithm	NOUN
ajst-16292	34	6	operates	operate	VERB
ajst-16292	34	7	as	as	ADP
ajst-16292	34	8	a	a	DET
ajst-16292	34	9	mesh	mesh	NOUN
ajst-16292	34	10	-	-	PUNCT
ajst-16292	34	11	free	free	ADJ
ajst-16292	34	12	technique	technique	NOUN
ajst-16292	34	13	,	,	PUNCT
ajst-16292	34	14	transforming	transform	VERB
ajst-16292	34	15	the	the	DET
ajst-16292	34	16	direct	direct	ADJ
ajst-16292	34	17	resolution	resolution	NOUN
ajst-16292	34	18	of	of	ADP
ajst-16292	34	19	governing	govern	VERB
ajst-16292	34	20	equations	equation	NOUN
ajst-16292	34	21	into	into	ADP
ajst-16292	34	22	an	an	DET
ajst-16292	34	23	optimization	optimization	NOUN
ajst-16292	34	24	problem	problem	NOUN
ajst-16292	34	25	concerning	concern	VERB
ajst-16292	34	26	a	a	DET
ajst-16292	34	27	loss	loss	NOUN
ajst-16292	34	28	function	function	NOUN
ajst-16292	34	29	.	.	PUNCT
ajst-16292	35	1	this	this	DET
ajst-16292	35	2	method	method	NOUN
ajst-16292	35	3	intricately	intricately	ADV
ajst-16292	35	4	integrates	integrate	VERB
ajst-16292	35	5	the	the	DET
ajst-16292	35	6	mathematical	mathematical	ADJ
ajst-16292	35	7	model	model	NOUN
ajst-16292	35	8	into	into	ADP
ajst-16292	35	9	the	the	DET
ajst-16292	35	10	neural	neural	ADJ
ajst-16292	35	11	network	network	NOUN
ajst-16292	35	12	and	and	CCONJ
ajst-16292	35	13	reinforces	reinforce	VERB
ajst-16292	35	14	the	the	DET
ajst-16292	35	15	loss	loss	NOUN
ajst-16292	35	16	function	function	NOUN
ajst-16292	35	17	by	by	ADP
ajst-16292	35	18	introducing	introduce	VERB
ajst-16292	35	19	a	a	DET
ajst-16292	35	20	residual	residual	ADJ
ajst-16292	35	21	term	term	NOUN
ajst-16292	35	22	derived	derive	VERB
ajst-16292	35	23	from	from	ADP
ajst-16292	35	24	the	the	DET
ajst-16292	35	25	governing	govern	VERB
ajst-16292	35	26	equation	equation	NOUN
ajst-16292	35	27	.	.	PUNCT
ajst-16292	36	1	this	this	DET
ajst-16292	36	2	term	term	NOUN
ajst-16292	36	3	acts	act	VERB
ajst-16292	36	4	as	as	ADP
ajst-16292	36	5	a	a	DET
ajst-16292	36	6	constraining	constrain	VERB
ajst-16292	36	7	element	element	NOUN
ajst-16292	36	8	,	,	PUNCT
ajst-16292	36	9	narrowing	narrow	VERB
ajst-16292	36	10	down	down	ADP
ajst-16292	36	11	the	the	DET
ajst-16292	36	12	acceptable	acceptable	ADJ
ajst-16292	36	13	solution	solution	NOUN
ajst-16292	36	14	space	space	NOUN
ajst-16292	36	15	.	.	PUNCT
ajst-16292	37	1	unlike	unlike	ADP
ajst-16292	37	2	approaches	approach	NOUN
ajst-16292	37	3	reliant	reliant	ADJ
ajst-16292	37	4	solely	solely	ADV
ajst-16292	37	5	on	on	ADP
ajst-16292	37	6	data	data	NOUN
ajst-16292	37	7	-	-	PUNCT
ajst-16292	37	8	driven	drive	VERB
ajst-16292	37	9	solutions	solution	NOUN
ajst-16292	37	10	,	,	PUNCT
ajst-16292	37	11	pinns	pinn	NOUN
ajst-16292	37	12	prioritize	prioritize	VERB
ajst-16292	37	13	the	the	DET
ajst-16292	37	14	inherent	inherent	ADJ
ajst-16292	37	15	pde	pde	NOUN
ajst-16292	37	16	physics	physics	NOUN
ajst-16292	37	17	over	over	ADP
ajst-16292	37	18	mere	mere	ADJ
ajst-16292	37	19	data	datum	NOUN
ajst-16292	37	20	fitting	fit	VERB
ajst-16292	37	21	via	via	ADP
ajst-16292	37	22	neural	neural	ADJ
ajst-16292	37	23	networks	network	NOUN
ajst-16292	37	24	.	.	PUNCT
ajst-16292	38	1	this	this	DET
ajst-16292	38	2	concept	concept	NOUN
ajst-16292	38	3	traces	trace	VERB
ajst-16292	38	4	its	its	PRON
ajst-16292	38	5	roots	root	NOUN
ajst-16292	38	6	to	to	ADP
ajst-16292	38	7	earlier	early	ADJ
ajst-16292	38	8	research	research	NOUN
ajst-16292	38	9	[	[	X
ajst-16292	38	10	21	21	NUM
ajst-16292	38	11	]	]	PUNCT
ajst-16292	38	12	,	,	PUNCT
ajst-16292	38	13	shedding	shed	VERB
ajst-16292	38	14	light	light	NOUN
ajst-16292	38	15	on	on	ADP
ajst-16292	38	16	the	the	DET
ajst-16292	38	17	potential	potential	NOUN
ajst-16292	38	18	of	of	ADP
ajst-16292	38	19	leveraging	leverage	VERB
ajst-16292	38	20	structured	structure	VERB
ajst-16292	38	21	prior	prior	ADJ
ajst-16292	38	22	knowledge	knowledge	NOUN
ajst-16292	38	23	.	.	PUNCT
ajst-16292	39	1	some	some	DET
ajst-16292	39	2	researcher[22	researcher[22	NOUN
ajst-16292	39	3	]	]	X
ajst-16292	39	4	leveraged	leveraged	ADJ
ajst-16292	39	5	gaussian	gaussian	NOUN
ajst-16292	39	6	process	process	NOUN
ajst-16292	39	7	regression	regression	NOUN
ajst-16292	39	8	to	to	PART
ajst-16292	39	9	construct	construct	VERB
ajst-16292	39	10	representations	representation	NOUN
ajst-16292	39	11	of	of	ADP
ajst-16292	39	12	linear	linear	ADJ
ajst-16292	39	13	operator	operator	NOUN
ajst-16292	39	14	functionals	functional	NOUN
ajst-16292	39	15	,	,	PUNCT
ajst-16292	39	16	effectively	effectively	ADV
ajst-16292	39	17	inferring	infer	VERB
ajst-16292	39	18	solutions	solution	NOUN
ajst-16292	39	19	and	and	CCONJ
ajst-16292	39	20	providing	provide	VERB
ajst-16292	39	21	uncertainty	uncertainty	NOUN
ajst-16292	39	22	estimates	estimate	NOUN
ajst-16292	39	23	for	for	ADP
ajst-16292	39	24	diverse	diverse	ADJ
ajst-16292	39	25	physical	physical	ADJ
ajst-16292	39	26	problems	problem	NOUN
ajst-16292	39	27	—	—	PUNCT
ajst-16292	39	28	a	a	DET
ajst-16292	39	29	concept	concept	NOUN
ajst-16292	39	30	later	later	ADV
ajst-16292	39	31	extended	extend	VERB
ajst-16292	39	32	in	in	ADP
ajst-16292	39	33	[	[	X
ajst-16292	39	34	22	22	NUM
ajst-16292	39	35	]	]	PUNCT
ajst-16292	39	36	.	.	PUNCT
ajst-16292	40	1	the	the	DET
ajst-16292	40	2	inception	inception	NOUN
ajst-16292	40	3	of	of	ADP
ajst-16292	40	4	pinns	pinn	NOUN
ajst-16292	40	5	in	in	ADP
ajst-16292	40	6	2017	2017	NUM
ajst-16292	40	7	marked	mark	VERB
ajst-16292	40	8	a	a	DET
ajst-16292	40	9	milestone	milestone	NOUN
ajst-16292	40	10	—	—	PUNCT
ajst-16292	40	11	a	a	DET
ajst-16292	40	12	new	new	ADJ
ajst-16292	40	13	class	class	NOUN
ajst-16292	40	14	of	of	ADP
ajst-16292	40	15	data	data	NOUN
ajst-16292	40	16	-	-	PUNCT
ajst-16292	40	17	driven	drive	VERB
ajst-16292	40	18	solvers	solver	NOUN
ajst-16292	40	19	introduced	introduce	VERB
ajst-16292	40	20	through	through	ADP
ajst-16292	40	21	a	a	DET
ajst-16292	40	22	comprehensive	comprehensive	ADJ
ajst-16292	40	23	two	two	NUM
ajst-16292	40	24	-	-	PUNCT
ajst-16292	40	25	part	part	NOUN
ajst-16292	40	26	article	article	NOUN
ajst-16292	40	27	,	,	PUNCT
ajst-16292	40	28	subsequently	subsequently	ADV
ajst-16292	40	29	amalgamated	amalgamate	VERB
ajst-16292	40	30	in	in	ADP
ajst-16292	40	31	2019	2019	NUM
ajst-16292	40	32	[	[	X
ajst-16292	40	33	23	23	NUM
ajst-16292	40	34	]	]	PUNCT
ajst-16292	40	35	,	,	PUNCT
ajst-16292	40	36	which	which	PRON
ajst-16292	40	37	elucidate	elucidate	VERB
ajst-16292	40	38	the	the	DET
ajst-16292	40	39	pinn	pinn	NOUN
ajst-16292	40	40	approach	approach	NOUN
ajst-16292	40	41	's	's	PART
ajst-16292	40	42	prowess	prowess	NOUN
ajst-16292	40	43	in	in	ADP
ajst-16292	40	44	solving	solve	VERB
ajst-16292	40	45	nonlinear	nonlinear	ADJ
ajst-16292	40	46	pdes	pde	NOUN
ajst-16292	40	47	like	like	ADP
ajst-16292	40	48	schrödinger	schrödinger	NOUN
ajst-16292	40	49	,	,	PUNCT
ajst-16292	40	50	burgers	burger	NOUN
ajst-16292	40	51	,	,	PUNCT
ajst-16292	40	52	and	and	CCONJ
ajst-16292	40	53	convection	convection	NOUN
ajst-16292	40	54	-	-	PUNCT
ajst-16292	40	55	diffusion	diffusion	NOUN
ajst-16292	40	56	equations[24	equations[24	NOUN
ajst-16292	40	57	-	-	PUNCT
ajst-16292	40	58	28	28	NUM
ajst-16292	40	59	]	]	PUNCT
ajst-16292	40	60	.	.	PUNCT
ajst-16292	41	1	their	their	PRON
ajst-16292	41	2	innovation	innovation	NOUN
ajst-16292	41	3	with	with	ADP
ajst-16292	41	4	physics	physics	NOUN
ajst-16292	41	5	-	-	PUNCT
ajst-16292	41	6	informed	inform	VERB
ajst-16292	41	7	neural	neural	ADJ
ajst-16292	41	8	networks	network	NOUN
ajst-16292	41	9	(	(	PUNCT
ajst-16292	41	10	pinns	pinns	ADJ
ajst-16292	41	11	)	)	PUNCT
ajst-16292	41	12	extends	extend	VERB
ajst-16292	41	13	beyond	beyond	ADP
ajst-16292	41	14	forward	forward	ADJ
ajst-16292	41	15	problems	problem	NOUN
ajst-16292	41	16	,	,	PUNCT
ajst-16292	41	17	encompassing	encompass	VERB
ajst-16292	41	18	inverse	inverse	NOUN
ajst-16292	41	19	problems	problem	NOUN
ajst-16292	41	20	where	where	SCONJ
ajst-16292	41	21	model	model	NOUN
ajst-16292	41	22	parameters	parameter	NOUN
ajst-16292	41	23	are	be	AUX
ajst-16292	41	24	learned	learn	VERB
ajst-16292	41	25	from	from	ADP
ajst-16292	41	26	observable	observable	ADJ
ajst-16292	41	27	data	datum	NOUN
ajst-16292	41	28	.	.	PUNCT
ajst-16292	42	1	the	the	DET
ajst-16292	42	2	integration	integration	NOUN
ajst-16292	42	3	of	of	ADP
ajst-16292	42	4	prior	prior	ADJ
ajst-16292	42	5	knowledge	knowledge	NOUN
ajst-16292	42	6	into	into	ADP
ajst-16292	42	7	machine	machine	NOUN
ajst-16292	42	8	learning	learn	VERB
ajst-16292	42	9	algorithms	algorithm	NOUN
ajst-16292	42	10	is	be	AUX
ajst-16292	42	11	n't	not	PART
ajst-16292	42	12	entirely	entirely	ADV
ajst-16292	42	13	novel	novel	ADJ
ajst-16292	42	14	.	.	PUNCT
ajst-16292	43	1	early	early	ADJ
ajst-16292	43	2	pioneers	pioneer	NOUN
ajst-16292	43	3	like	like	ADP
ajst-16292	43	4	dissanayake	dissanayake	NOUN
ajst-16292	43	5	and	and	CCONJ
ajst-16292	43	6	phan	phan	PROPN
ajst-16292	43	7	-	-	PUNCT
ajst-16292	43	8	thien	thien	PROPN
ajst-16292	43	9	[	[	X
ajst-16292	43	10	29	29	NUM
ajst-16292	43	11	]	]	PUNCT
ajst-16292	43	12	could	could	AUX
ajst-16292	43	13	be	be	AUX
ajst-16292	43	14	considered	consider	VERB
ajst-16292	43	15	among	among	ADP
ajst-16292	43	16	the	the	DET
ajst-16292	43	17	initial	initial	ADJ
ajst-16292	43	18	forerunners	forerunner	NOUN
ajst-16292	43	19	of	of	ADP
ajst-16292	43	20	pinns	pinn	NOUN
ajst-16292	43	21	.	.	PUNCT
ajst-16292	44	1	building	build	VERB
ajst-16292	44	2	upon	upon	SCONJ
ajst-16292	44	3	the	the	DET
ajst-16292	44	4	universal	universal	ADJ
ajst-16292	44	5	approximation	approximation	NOUN
ajst-16292	44	6	advancements	advancement	NOUN
ajst-16292	44	7	of	of	ADP
ajst-16292	44	8	the	the	DET
ajst-16292	44	9	late	late	ADJ
ajst-16292	44	10	1980s	1980	NOUN
ajst-16292	44	11	,	,	PUNCT
ajst-16292	44	12	methodologies	methodology	NOUN
ajst-16292	44	13	emerged	emerge	VERB
ajst-16292	44	14	in	in	ADP
ajst-16292	44	15	the	the	DET
ajst-16292	44	16	early	early	ADJ
ajst-16292	44	17	90s	90	NOUN
ajst-16292	44	18	proposing	propose	VERB
ajst-16292	44	19	neural	neural	ADJ
ajst-16292	44	20	network	network	NOUN
ajst-16292	44	21	approximations	approximation	NOUN
ajst-16292	44	22	for	for	ADP
ajst-16292	44	23	pdes	pde	NOUN
ajst-16292	44	24	,	,	PUNCT
ajst-16292	44	25	such	such	ADJ
ajst-16292	44	26	as	as	ADP
ajst-16292	44	27	constrained	constrain	VERB
ajst-16292	44	28	neural	neural	ADJ
ajst-16292	44	29	networks[30	networks[30	NOUN
ajst-16292	44	30	]	]	X
ajst-16292	44	31	.	.	PUNCT
ajst-16292	45	1	this	this	DET
ajst-16292	45	2	early	early	ADJ
ajst-16292	45	3	network	network	NOUN
ajst-16292	45	4	comprised	comprise	VERB
ajst-16292	45	5	two	two	NUM
ajst-16292	45	6	hidden	hidden	ADJ
ajst-16292	45	7	layers	layer	NOUN
ajst-16292	45	8	with	with	ADP
ajst-16292	45	9	3	3	NUM
ajst-16292	45	10	,	,	PUNCT
ajst-16292	45	11	5	5	NUM
ajst-16292	45	12	,	,	PUNCT
ajst-16292	45	13	or	or	CCONJ
ajst-16292	45	14	10	10	NUM
ajst-16292	45	15	nodes	node	NOUN
ajst-16292	45	16	per	per	ADP
ajst-16292	45	17	layer	layer	NOUN
ajst-16292	45	18	,	,	PUNCT
ajst-16292	45	19	utilizing	utilize	VERB
ajst-16292	45	20	pointcollocation	pointcollocation	NOUN
ajst-16292	45	21	to	to	PART
ajst-16292	45	22	approximate	approximate	VERB
ajst-16292	45	23	the	the	DET
ajst-16292	45	24	l2	l2	NOUN
ajst-16292	45	25	error	error	NOUN
ajst-16292	45	26	on	on	ADP
ajst-16292	45	27	the	the	DET
ajst-16292	45	28	domain	domain	NOUN
ajst-16292	45	29	's	's	PART
ajst-16292	45	30	interior	interior	ADJ
ajst-16292	45	31	and	and	CCONJ
ajst-16292	45	32	boundary	boundary	NOUN
ajst-16292	45	33	.	.	PUNCT
ajst-16292	46	1	evaluating	evaluate	VERB
ajst-16292	46	2	the	the	DET
ajst-16292	46	3	loss	loss	NOUN
ajst-16292	46	4	function	function	NOUN
ajst-16292	46	5	employed	employ	VERB
ajst-16292	46	6	a	a	DET
ajst-16292	46	7	quasi	quasi	ADJ
ajst-16292	46	8	-	-	ADJ
ajst-16292	46	9	newtonian	newtonian	ADJ
ajst-16292	46	10	approach	approach	NOUN
ajst-16292	46	11	,	,	PUNCT
ajst-16292	46	12	while	while	SCONJ
ajst-16292	46	13	gradients	gradient	NOUN
ajst-16292	46	14	were	be	AUX
ajst-16292	46	15	assessed	assess	VERB
ajst-16292	46	16	using	use	VERB
ajst-16292	46	17	finite	finite	ADJ
ajst-16292	46	18	differences	difference	NOUN
ajst-16292	46	19	.	.	PUNCT
ajst-16292	47	1	3	3	X
ajst-16292	47	2	.	.	X
ajst-16292	47	3	components	component	NOUN
ajst-16292	47	4	of	of	ADP
ajst-16292	47	5	pinn	pinn	PROPN
ajst-16292	47	6	physics	physics	NOUN
ajst-16292	47	7	-	-	PUNCT
ajst-16292	47	8	informed	inform	VERB
ajst-16292	47	9	neural	neural	ADJ
ajst-16292	47	10	networks	network	NOUN
ajst-16292	47	11	(	(	PUNCT
ajst-16292	47	12	pinns	pinns	ADJ
ajst-16292	47	13	)	)	PUNCT
ajst-16292	47	14	offer	offer	VERB
ajst-16292	47	15	a	a	DET
ajst-16292	47	16	potent	potent	ADJ
ajst-16292	47	17	solution	solution	NOUN
ajst-16292	47	18	for	for	ADP
ajst-16292	47	19	tackling	tackle	VERB
ajst-16292	47	20	problems	problem	NOUN
ajst-16292	47	21	characterized	characterize	VERB
ajst-16292	47	22	by	by	ADP
ajst-16292	47	23	limited	limited	ADJ
ajst-16292	47	24	or	or	CCONJ
ajst-16292	47	25	noisy	noisy	ADJ
ajst-16292	47	26	experimental	experimental	ADJ
ajst-16292	47	27	data	datum	NOUN
ajst-16292	47	28	.	.	PUNCT
ajst-16292	48	1	these	these	DET
ajst-16292	48	2	networks	network	NOUN
ajst-16292	48	3	possess	possess	VERB
ajst-16292	48	4	the	the	DET
ajst-16292	48	5	unique	unique	ADJ
ajst-16292	48	6	capability	capability	NOUN
ajst-16292	48	7	to	to	PART
ajst-16292	48	8	incorporate	incorporate	VERB
ajst-16292	48	9	known	know	VERB
ajst-16292	48	10	data	datum	NOUN
ajst-16292	48	11	while	while	SCONJ
ajst-16292	48	12	adhering	adhere	VERB
ajst-16292	48	13	rigorously	rigorously	ADV
ajst-16292	48	14	to	to	PART
ajst-16292	48	15	specified	specified	VERB
ajst-16292	48	16	physical	physical	ADJ
ajst-16292	48	17	laws	law	NOUN
ajst-16292	48	18	encoded	encode	VERB
ajst-16292	48	19	by	by	ADP
ajst-16292	48	20	complex	complex	ADJ
ajst-16292	48	21	nonlinear	nonlinear	ADJ
ajst-16292	48	22	partial	partial	ADJ
ajst-16292	48	23	differential	differential	NOUN
ajst-16292	48	24	equations	equation	NOUN
ajst-16292	48	25	,	,	PUNCT
ajst-16292	48	26	thereby	thereby	ADV
ajst-16292	48	27	operating	operate	VERB
ajst-16292	48	28	as	as	ADP
ajst-16292	48	29	a	a	DET
ajst-16292	48	30	versatile	versatile	ADJ
ajst-16292	48	31	tool	tool	NOUN
ajst-16292	48	32	within	within	ADP
ajst-16292	48	33	the	the	DET
ajst-16292	48	34	realm	realm	NOUN
ajst-16292	48	35	of	of	ADP
ajst-16292	48	36	supervised	supervised	ADJ
ajst-16292	48	37	learning[31	learning[31	NOUN
ajst-16292	48	38	]	]	PUNCT
ajst-16292	48	39	.	.	PUNCT
ajst-16292	49	1	in	in	ADP
ajst-16292	49	2	their	their	PRON
ajst-16292	49	3	essence	essence	NOUN
ajst-16292	49	4	,	,	PUNCT
ajst-16292	49	5	pinns	pinn	NOUN
ajst-16292	49	6	excel	excel	VERB
ajst-16292	49	7	at	at	ADP
ajst-16292	49	8	solving	solve	VERB
ajst-16292	49	9	differential	differential	ADJ
ajst-16292	49	10	equations	equation	NOUN
ajst-16292	49	11	across	across	ADP
ajst-16292	49	12	a	a	DET
ajst-16292	49	13	broad	broad	ADJ
ajst-16292	49	14	spectrum	spectrum	NOUN
ajst-16292	49	15	of	of	ADP
ajst-16292	49	16	formulations	formulation	NOUN
ajst-16292	49	17	,	,	PUNCT
ajst-16292	49	18	presenting	present	VERB
ajst-16292	49	19	a	a	DET
ajst-16292	49	20	robust	robust	ADJ
ajst-16292	49	21	approach	approach	NOUN
ajst-16292	49	22	to	to	ADP
ajst-16292	49	23	various	various	ADJ
ajst-16292	49	24	problem	problem	NOUN
ajst-16292	49	25	types	type	NOUN
ajst-16292	49	26	,	,	PUNCT
ajst-16292	49	27	like	like	ADP
ajst-16292	49	28	:	:	PUNCT
ajst-16292	49	29	𝐹	𝐹	PROPN
ajst-16292	49	30	𝑢	𝑢	X
ajst-16292	49	31	𝑧	𝑧	X
ajst-16292	49	32	;	;	PUNCT
ajst-16292	49	33	𝛾	𝛾	ADP
ajst-16292	49	34	𝑓	𝑓	PRON
ajst-16292	49	35	𝑧	𝑧	PRON
ajst-16292	49	36	𝑧	𝑧	PROPN
ajst-16292	49	37	𝑖𝑛	𝑖𝑛	NOUN
ajst-16292	49	38	ω	ω	PROPN
ajst-16292	49	39	,	,	PUNCT
ajst-16292	49	40	𝐵	𝐵	PROPN
ajst-16292	49	41	𝑢	𝑢	NOUN
ajst-16292	49	42	𝑧	𝑧	VERB
ajst-16292	49	43	𝑔	𝑔	X
ajst-16292	49	44	𝑧	𝑧	PRON
ajst-16292	49	45	𝑧	𝑧	PRON
ajst-16292	49	46	𝑖𝑛	𝑖𝑛	PRON
ajst-16292	49	47	𝜕ω	𝜕ω	PROPN
ajst-16292	49	48	defined	define	VERB
ajst-16292	49	49	on	on	ADP
ajst-16292	49	50	the	the	DET
ajst-16292	49	51	domain	domain	NOUN
ajst-16292	49	52	ω	ω	PROPN
ajst-16292	49	53	⊂	⊂	PROPN
ajst-16292	49	54	rd	rd	PROPN
ajst-16292	49	55	with	with	ADP
ajst-16292	49	56	the	the	DET
ajst-16292	49	57	boundary	boundary	ADJ
ajst-16292	49	58	𝜕ω	𝜕ω	PROPN
ajst-16292	49	59	.	.	PROPN
ajst-16292	50	1	in	in	ADP
ajst-16292	50	2	the	the	DET
ajst-16292	50	3	spatial	spatial	ADJ
ajst-16292	50	4	-	-	PUNCT
ajst-16292	50	5	temporal	temporal	ADJ
ajst-16292	50	6	coordinate	coordinate	NOUN
ajst-16292	50	7	vector	vector	NOUN
ajst-16292	50	8	z	z	NOUN
ajst-16292	50	9	:	:	PUNCT
ajst-16292	50	10	=	=	SYM
ajst-16292	51	1	[	[	X
ajst-16292	51	2	x1	x1	NUM
ajst-16292	51	3	...	...	PUNCT
ajst-16292	51	4	,	,	PUNCT
ajst-16292	51	5	xd−1	xd−1	PROPN
ajst-16292	51	6	;	;	PUNCT
ajst-16292	51	7	t	t	PROPN
ajst-16292	51	8	]	]	PUNCT
ajst-16292	51	9	,	,	PUNCT
ajst-16292	51	10	u	u	PRON
ajst-16292	51	11	symbolizes	symbolize	VERB
ajst-16292	51	12	the	the	DET
ajst-16292	51	13	elusive	elusive	ADJ
ajst-16292	51	14	solution	solution	NOUN
ajst-16292	51	15	,	,	PUNCT
ajst-16292	51	16	γ	γ	PROPN
ajst-16292	51	17	stands	stand	VERB
ajst-16292	51	18	for	for	ADP
ajst-16292	51	19	the	the	DET
ajst-16292	51	20	parameters	parameter	NOUN
ajst-16292	51	21	entwined	entwine	VERB
ajst-16292	51	22	with	with	ADP
ajst-16292	51	23	the	the	DET
ajst-16292	51	24	physics	physics	NOUN
ajst-16292	51	25	,	,	PUNCT
ajst-16292	51	26	f	f	PROPN
ajst-16292	51	27	delineates	delineate	VERB
ajst-16292	51	28	the	the	DET
ajst-16292	51	29	problem	problem	NOUN
ajst-16292	51	30	's	's	PART
ajst-16292	51	31	data	datum	NOUN
ajst-16292	51	32	,	,	PUNCT
ajst-16292	51	33	and	and	CCONJ
ajst-16292	51	34	f	f	PROPN
ajst-16292	51	35	embodies	embody	VERB
ajst-16292	51	36	the	the	DET
ajst-16292	51	37	nonlinear	nonlinear	ADJ
ajst-16292	51	38	differential	differential	ADJ
ajst-16292	51	39	operator	operator	NOUN
ajst-16292	51	40	.	.	PUNCT
ajst-16292	52	1	moreover	moreover	ADV
ajst-16292	52	2	,	,	PUNCT
ajst-16292	52	3	considering	consider	VERB
ajst-16292	52	4	the	the	DET
ajst-16292	52	5	initial	initial	ADJ
ajst-16292	52	6	condition	condition	NOUN
ajst-16292	52	7	as	as	ADP
ajst-16292	52	8	a	a	DET
ajst-16292	52	9	form	form	NOUN
ajst-16292	52	10	of	of	ADP
ajst-16292	52	11	dirichlet	dirichlet	PROPN
ajst-16292	52	12	boundary	boundary	ADJ
ajst-16292	52	13	condition	condition	NOUN
ajst-16292	52	14	within	within	ADP
ajst-16292	52	15	the	the	DET
ajst-16292	52	16	spatial	spatial	ADJ
ajst-16292	52	17	-	-	PUNCT
ajst-16292	52	18	temporal	temporal	ADJ
ajst-16292	52	19	domain	domain	NOUN
ajst-16292	52	20	allows	allow	VERB
ajst-16292	52	21	denoting	denote	VERB
ajst-16292	52	22	b	b	NOUN
ajst-16292	52	23	as	as	ADP
ajst-16292	52	24	the	the	DET
ajst-16292	52	25	operator	operator	NOUN
ajst-16292	52	26	signifying	signify	VERB
ajst-16292	52	27	arbitrary	arbitrary	ADJ
ajst-16292	52	28	initial	initial	ADJ
ajst-16292	52	29	or	or	CCONJ
ajst-16292	52	30	boundary	boundary	ADJ
ajst-16292	52	31	conditions	condition	NOUN
ajst-16292	52	32	associated	associate	VERB
ajst-16292	52	33	with	with	ADP
ajst-16292	52	34	the	the	DET
ajst-16292	52	35	problem	problem	NOUN
ajst-16292	52	36	,	,	PUNCT
ajst-16292	52	37	while	while	SCONJ
ajst-16292	52	38	g	g	PROPN
ajst-16292	52	39	represents	represent	VERB
ajst-16292	52	40	the	the	DET
ajst-16292	52	41	boundary	boundary	ADJ
ajst-16292	52	42	function	function	NOUN
ajst-16292	52	43	.	.	PUNCT
ajst-16292	53	1	these	these	DET
ajst-16292	53	2	boundary	boundary	ADJ
ajst-16292	53	3	conditions	condition	NOUN
ajst-16292	53	4	may	may	AUX
ajst-16292	53	5	encompass	encompass	VERB
ajst-16292	53	6	dirichlet	dirichlet	PROPN
ajst-16292	53	7	,	,	PUNCT
ajst-16292	53	8	neumann	neumann	PROPN
ajst-16292	53	9	,	,	PUNCT
ajst-16292	53	10	robin	robin	PROPN
ajst-16292	53	11	,	,	PUNCT
ajst-16292	53	12	or	or	CCONJ
ajst-16292	53	13	periodic	periodic	ADJ
ajst-16292	53	14	boundary	boundary	ADJ
ajst-16292	53	15	conditions	condition	NOUN
ajst-16292	53	16	.	.	PUNCT
ajst-16292	54	1	above	above	ADP
ajst-16292	54	2	equation	equation	NOUN
ajst-16292	54	3	embraces	embrace	VERB
ajst-16292	54	4	the	the	DET
ajst-16292	54	5	capacity	capacity	NOUN
ajst-16292	54	6	to	to	PART
ajst-16292	54	7	depict	depict	VERB
ajst-16292	54	8	a	a	DET
ajst-16292	54	9	myriad	myriad	NOUN
ajst-16292	54	10	of	of	ADP
ajst-16292	54	11	physical	physical	ADJ
ajst-16292	54	12	systems	system	NOUN
ajst-16292	54	13	,	,	PUNCT
ajst-16292	54	14	encompassing	encompass	VERB
ajst-16292	54	15	both	both	CCONJ
ajst-16292	54	16	forward	forward	ADV
ajst-16292	54	17	and	and	CCONJ
ajst-16292	54	18	inverse	inverse	NOUN
ajst-16292	54	19	problems	problem	NOUN
ajst-16292	54	20	.	.	PUNCT
ajst-16292	55	1	in	in	ADP
ajst-16292	55	2	the	the	DET
ajst-16292	55	3	realm	realm	NOUN
ajst-16292	55	4	of	of	ADP
ajst-16292	55	5	forward	forward	ADJ
ajst-16292	55	6	problems	problem	NOUN
ajst-16292	55	7	,	,	PUNCT
ajst-16292	55	8	the	the	DET
ajst-16292	55	9	objective	objective	NOUN
ajst-16292	55	10	is	be	AUX
ajst-16292	55	11	to	to	PART
ajst-16292	55	12	ascertain	ascertain	VERB
ajst-16292	55	13	the	the	DET
ajst-16292	55	14	function	function	NOUN
ajst-16292	55	15	u	u	NOUN
ajst-16292	55	16	for	for	ADP
ajst-16292	55	17	each	each	DET
ajst-16292	55	18	z	z	PROPN
ajst-16292	55	19	,	,	PUNCT
ajst-16292	55	20	with	with	ADP
ajst-16292	55	21	specified	specify	VERB
ajst-16292	55	22	parameters	parameter	NOUN
ajst-16292	55	23	γ	γ	PROPN
ajst-16292	55	24	.	.	PROPN
ajst-16292	55	25	however	however	ADV
ajst-16292	55	26	,	,	PUNCT
ajst-16292	55	27	in	in	ADP
ajst-16292	55	28	the	the	DET
ajst-16292	55	29	inverse	inverse	NOUN
ajst-16292	55	30	problem	problem	NOUN
ajst-16292	55	31	,	,	PUNCT
ajst-16292	55	32	determining	determine	VERB
ajst-16292	55	33	γ	γ	PROPN
ajst-16292	55	34	from	from	ADP
ajst-16292	55	35	the	the	DET
ajst-16292	55	36	available	available	ADJ
ajst-16292	55	37	data	datum	NOUN
ajst-16292	55	38	becomes	become	VERB
ajst-16292	55	39	imperative	imperative	ADJ
ajst-16292	55	40	.	.	PUNCT
ajst-16292	56	1	a	a	DET
ajst-16292	56	2	comprehensive	comprehensive	ADJ
ajst-16292	56	3	operator	operator	NOUN
ajst-16292	56	4	-	-	PUNCT
ajst-16292	56	5	based	base	VERB
ajst-16292	56	6	mathematical	mathematical	ADJ
ajst-16292	56	7	formulation	formulation	NOUN
ajst-16292	56	8	of	of	ADP
ajst-16292	56	9	eq	eq	PROPN
ajst-16292	56	10	.	.	PUNCT
ajst-16292	57	1	(	(	PUNCT
ajst-16292	57	2	1	1	X
ajst-16292	57	3	)	)	PUNCT
ajst-16292	57	4	can	can	AUX
ajst-16292	57	5	be	be	AUX
ajst-16292	57	6	explored	explore	VERB
ajst-16292	57	7	in	in	ADP
ajst-16292	57	8	mishra	mishra	PROPN
ajst-16292	57	9	and	and	CCONJ
ajst-16292	57	10	molinaro	molinaro	NOUN
ajst-16292	57	11	's	's	PART
ajst-16292	57	12	work	work	NOUN
ajst-16292	57	13	[	[	X
ajst-16292	57	14	32	32	NUM
ajst-16292	57	15	]	]	PUNCT
ajst-16292	57	16	.	.	PUNCT
ajst-16292	58	1	within	within	ADP
ajst-16292	58	2	the	the	DET
ajst-16292	58	3	pinn	pinn	NOUN
ajst-16292	58	4	framework	framework	NOUN
ajst-16292	58	5	,	,	PUNCT
ajst-16292	58	6	the	the	DET
ajst-16292	58	7	computational	computational	ADJ
ajst-16292	58	8	prediction	prediction	NOUN
ajst-16292	58	9	of	of	ADP
ajst-16292	58	10	u(z	u(z	NOUN
ajst-16292	58	11	)	)	PUNCT
ajst-16292	58	12	transpires	transpire	VERB
ajst-16292	58	13	through	through	ADP
ajst-16292	58	14	a	a	DET
ajst-16292	58	15	neural	neural	ADJ
ajst-16292	58	16	network	network	NOUN
ajst-16292	58	17	(	(	PUNCT
ajst-16292	58	18	nn	nn	NOUN
ajst-16292	58	19	)	)	PUNCT
ajst-16292	58	20	parametrized	parametrize	VERB
ajst-16292	58	21	by	by	ADP
ajst-16292	58	22	a	a	DET
ajst-16292	58	23	set	set	NOUN
ajst-16292	58	24	of	of	ADP
ajst-16292	58	25	parameters	parameter	NOUN
ajst-16292	58	26	θ	θ	PROPN
ajst-16292	58	27	,	,	PUNCT
ajst-16292	58	28	giving	give	VERB
ajst-16292	58	29	rise	rise	NOUN
ajst-16292	58	30	to	to	ADP
ajst-16292	58	31	an	an	DET
ajst-16292	58	32	approximation	approximation	NOUN
ajst-16292	58	33	uˆθ	uˆθ	NOUN
ajst-16292	58	34	(	(	PUNCT
ajst-16292	58	35	z	z	NOUN
ajst-16292	58	36	)	)	PUNCT
ajst-16292	58	37	≈	≈	PROPN
ajst-16292	58	38	u(z	u(z	PROPN
ajst-16292	58	39	)	)	PUNCT
ajst-16292	58	40	,	,	PUNCT
ajst-16292	58	41	where	where	SCONJ
ajst-16292	58	42	(	(	PUNCT
ajst-16292	58	43	ˆ	ˆ	NOUN
ajst-16292	58	44	·	·	PUNCT
ajst-16292	58	45	)	)	PUNCT
ajst-16292	58	46	θ	θ	PROPN
ajst-16292	58	47	signifies	signify	VERB
ajst-16292	58	48	an	an	DET
ajst-16292	58	49	nn	nn	NOUN
ajst-16292	58	50	approximation	approximation	NOUN
ajst-16292	58	51	realized	realize	VERB
ajst-16292	58	52	through	through	ADP
ajst-16292	58	53	θ	θ	PROPN
ajst-16292	58	54	.	.	PUNCT
ajst-16292	59	1	in	in	ADP
ajst-16292	59	2	this	this	DET
ajst-16292	59	3	comprehensive	comprehensive	ADJ
ajst-16292	59	4	context	context	NOUN
ajst-16292	59	5	where	where	SCONJ
ajst-16292	59	6	both	both	PRON
ajst-16292	59	7	forward	forward	ADV
ajst-16292	59	8	and	and	CCONJ
ajst-16292	59	9	inverse	inverse	NOUN
ajst-16292	59	10	problems	problem	NOUN
ajst-16292	59	11	find	find	VERB
ajst-16292	59	12	analysis	analysis	NOUN
ajst-16292	59	13	within	within	ADP
ajst-16292	59	14	the	the	DET
ajst-16292	59	15	same	same	ADJ
ajst-16292	59	16	framework	framework	NOUN
ajst-16292	59	17	,	,	PUNCT
ajst-16292	59	18	and	and	CCONJ
ajst-16292	59	19	recognizing	recognize	VERB
ajst-16292	59	20	pinn	pinn	PROPN
ajst-16292	59	21	's	's	PART
ajst-16292	59	22	efficacy	efficacy	NOUN
ajst-16292	59	23	in	in	ADP
ajst-16292	59	24	tackling	tackle	VERB
ajst-16292	59	25	both	both	PRON
ajst-16292	59	26	,	,	PUNCT
ajst-16292	59	27	θ	θ	PROPN
ajst-16292	59	28	assumes	assume	VERB
ajst-16292	59	29	the	the	DET
ajst-16292	59	30	role	role	NOUN
ajst-16292	59	31	of	of	ADP
ajst-16292	59	32	representing	represent	VERB
ajst-16292	59	33	the	the	DET
ajst-16292	59	34	vector	vector	NOUN
ajst-16292	59	35	encompassing	encompass	VERB
ajst-16292	59	36	all	all	DET
ajst-16292	59	37	unknown	unknown	ADJ
ajst-16292	59	38	parameters	parameter	NOUN
ajst-16292	59	39	within	within	ADP
ajst-16292	59	40	the	the	DET
ajst-16292	59	41	neural	neural	ADJ
ajst-16292	59	42	network	network	NOUN
ajst-16292	59	43	,	,	PUNCT
ajst-16292	59	44	constituting	constitute	VERB
ajst-16292	59	45	the	the	DET
ajst-16292	59	46	surrogate	surrogate	ADJ
ajst-16292	59	47	model	model	NOUN
ajst-16292	59	48	,	,	PUNCT
ajst-16292	59	49	and	and	CCONJ
ajst-16292	59	50	concurrently	concurrently	ADV
ajst-16292	59	51	encapsulating	encapsulate	VERB
ajst-16292	59	52	unknown	unknown	ADJ
ajst-16292	59	53	parameters	parameter	NOUN
ajst-16292	59	54	γ	γ	X
ajst-16292	59	55	in	in	ADP
ajst-16292	59	56	the	the	DET
ajst-16292	59	57	inverse	inverse	NOUN
ajst-16292	59	58	problem	problem	NOUN
ajst-16292	59	59	scenario	scenario	PROPN
ajst-16292	59	60	.	.	PUNCT
ajst-16292	60	1	within	within	ADP
ajst-16292	60	2	this	this	DET
ajst-16292	60	3	framework	framework	NOUN
ajst-16292	60	4	,	,	PUNCT
ajst-16292	60	5	the	the	DET
ajst-16292	60	6	neural	neural	ADJ
ajst-16292	60	7	network	network	NOUN
ajst-16292	60	8	must	must	AUX
ajst-16292	60	9	assimilate	assimilate	VERB
ajst-16292	60	10	the	the	DET
ajst-16292	60	11	approximation	approximation	NOUN
ajst-16292	60	12	of	of	ADP
ajst-16292	60	13	differential	differential	ADJ
ajst-16292	60	14	equations	equation	NOUN
ajst-16292	60	15	by	by	ADP
ajst-16292	60	16	discerning	discern	VERB
ajst-16292	60	17	θ	θ	PROPN
ajst-16292	60	18	,	,	PUNCT
ajst-16292	60	19	which	which	PRON
ajst-16292	60	20	defines	define	VERB
ajst-16292	60	21	the	the	DET
ajst-16292	60	22	neural	neural	ADJ
ajst-16292	60	23	network	network	NOUN
ajst-16292	60	24	,	,	PUNCT
ajst-16292	60	25	accomplished	accomplish	VERB
ajst-16292	60	26	by	by	ADP
ajst-16292	60	27	minimizing	minimize	VERB
ajst-16292	60	28	a	a	DET
ajst-16292	60	29	weighted	weight	VERB
ajst-16292	60	30	loss	loss	NOUN
ajst-16292	60	31	function	function	NOUN
ajst-16292	60	32	contingent	contingent	NOUN
ajst-16292	60	33	upon	upon	SCONJ
ajst-16292	60	34	the	the	DET
ajst-16292	60	35	differential	differential	ADJ
ajst-16292	60	36	equation	equation	NOUN
ajst-16292	60	37	lf	lf	PROPN
ajst-16292	60	38	,	,	PUNCT
ajst-16292	60	39	the	the	DET
ajst-16292	60	40	boundary	boundary	ADJ
ajst-16292	60	41	conditions	condition	NOUN
ajst-16292	60	42	lb	lb	NOUN
ajst-16292	60	43	,	,	PUNCT
ajst-16292	60	44	and	and	CCONJ
ajst-16292	60	45	potentially	potentially	ADV
ajst-16292	60	46	known	know	VERB
ajst-16292	60	47	data	datum	NOUN
ajst-16292	60	48	l	l	NOUN
ajst-16292	60	49	,	,	PUNCT
ajst-16292	60	50	each	each	PRON
ajst-16292	60	51	suitably	suitably	ADV
ajst-16292	60	52	weighted	weight	VERB
ajst-16292	60	53	and	and	CCONJ
ajst-16292	60	54	considered	consider	VERB
ajst-16292	60	55	:	:	PUNCT
ajst-16292	61	1	𝜃	𝜃	X
ajst-16292	61	2	∗	∗	NOUN
ajst-16292	61	3	𝑎𝑟𝑔	𝑎𝑟𝑔	NOUN
ajst-16292	61	4	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
ajst-16292	61	5	𝜔𝐹	𝜔𝐹	NOUN
ajst-16292	62	1	𝐿𝐹	𝐿𝐹	PROPN
ajst-16292	62	2	𝜃	𝜃	NUM
ajst-16292	62	3	𝜔𝐵𝐿𝐵	𝜔𝐵𝐿𝐵	VERB
ajst-16292	62	4	𝜃	𝜃	NUM
ajst-16292	62	5	𝜔𝑑	𝜔𝑑	X
ajst-16292	62	6	𝐿	𝐿	PROPN
ajst-16292	62	7	𝜃	𝜃	PROPN
ajst-16292	62	8	.	.	PUNCT
ajst-16292	63	1	in	in	ADP
ajst-16292	63	2	essence	essence	NOUN
ajst-16292	63	3	,	,	PUNCT
ajst-16292	63	4	pinn	pinn	NOUN
ajst-16292	63	5	embodies	embody	VERB
ajst-16292	63	6	an	an	DET
ajst-16292	63	7	unsupervised	unsupervised	ADJ
ajst-16292	63	8	learning	learning	NOUN
ajst-16292	63	9	methodology	methodology	NOUN
ajst-16292	63	10	when	when	SCONJ
ajst-16292	63	11	trained	train	VERB
ajst-16292	63	12	exclusively	exclusively	ADV
ajst-16292	63	13	on	on	ADP
ajst-16292	63	14	physical	physical	ADJ
ajst-16292	63	15	equations	equation	NOUN
ajst-16292	63	16	and	and	CCONJ
ajst-16292	63	17	boundary	boundary	ADJ
ajst-16292	63	18	conditions	condition	NOUN
ajst-16292	63	19	to	to	PART
ajst-16292	63	20	address	address	VERB
ajst-16292	63	21	forward	forward	ADP
ajst-16292	63	22	problems	problem	NOUN
ajst-16292	63	23	.	.	PUNCT
ajst-16292	64	1	however	however	ADV
ajst-16292	64	2	,	,	PUNCT
ajst-16292	64	3	in	in	ADP
ajst-16292	64	4	scenarios	scenario	NOUN
ajst-16292	64	5	involving	involve	VERB
ajst-16292	64	6	inverse	inverse	NOUN
ajst-16292	64	7	problems	problem	NOUN
ajst-16292	64	8	or	or	CCONJ
ajst-16292	64	9	when	when	SCONJ
ajst-16292	64	10	certain	certain	ADJ
ajst-16292	64	11	physical	physical	ADJ
ajst-16292	64	12	properties	property	NOUN
ajst-16292	64	13	are	be	AUX
ajst-16292	64	14	inferred	infer	VERB
ajst-16292	64	15	from	from	ADP
ajst-16292	64	16	potentially	potentially	ADV
ajst-16292	64	17	noisy	noisy	ADJ
ajst-16292	64	18	data	datum	NOUN
ajst-16292	64	19	,	,	PUNCT
ajst-16292	64	20	pinn	pinn	PROPN
ajst-16292	64	21	can	can	AUX
ajst-16292	64	22	seamlessly	seamlessly	ADV
ajst-16292	64	23	transition	transition	VERB
ajst-16292	64	24	into	into	ADP
ajst-16292	64	25	a	a	DET
ajst-16292	64	26	supervised	supervised	ADJ
ajst-16292	64	27	learning	learning	NOUN
ajst-16292	64	28	approach	approach	NOUN
ajst-16292	64	29	.	.	PUNCT
ajst-16292	65	1	4	4	X
ajst-16292	65	2	.	.	X
ajst-16292	65	3	differential	differential	ADJ
ajst-16292	65	4	equations	equation	NOUN
ajst-16292	65	5	the	the	DET
ajst-16292	65	6	inaugural	inaugural	ADJ
ajst-16292	65	7	vanilla	vanilla	NOUN
ajst-16292	65	8	pinn	pinn	NOUN
ajst-16292	65	9	[	[	X
ajst-16292	65	10	23	23	NUM
ajst-16292	65	11	]	]	PUNCT
ajst-16292	65	12	was	be	AUX
ajst-16292	65	13	engineered	engineer	VERB
ajst-16292	65	14	to	to	PART
ajst-16292	65	15	solve	solve	VERB
ajst-16292	65	16	intricate	intricate	ADJ
ajst-16292	65	17	nonlinear	nonlinear	ADJ
ajst-16292	65	18	pdes	pde	NOUN
ajst-16292	65	19	formulated	formulate	VERB
ajst-16292	65	20	as	as	ADP
ajst-16292	65	21	ut	ut	PROPN
ajst-16292	65	22	+	+	CCONJ
ajst-16292	65	23	fx	fx	PROPN
ajst-16292	65	24	u	u	NOUN
ajst-16292	65	25	=	=	PROPN
ajst-16292	65	26	0	0	NUM
ajst-16292	65	27	,	,	PUNCT
ajst-16292	65	28	where	where	SCONJ
ajst-16292	65	29	x	x	PRON
ajst-16292	65	30	represents	represent	VERB
ajst-16292	65	31	a	a	DET
ajst-16292	65	32	spatial	spatial	ADJ
ajst-16292	65	33	coordinate	coordinate	NOUN
ajst-16292	65	34	vector	vector	NOUN
ajst-16292	65	35	,	,	PUNCT
ajst-16292	65	36	t	t	PROPN
ajst-16292	65	37	signifies	signify	VERB
ajst-16292	65	38	the	the	DET
ajst-16292	65	39	time	time	NOUN
ajst-16292	65	40	coordinate	coordinate	NOUN
ajst-16292	65	41	vector	vector	NOUN
ajst-16292	65	42	,	,	PUNCT
ajst-16292	65	43	and	and	CCONJ
ajst-16292	65	44	fx	fx	NOUN
ajst-16292	65	45	denotes	denote	VERB
ajst-16292	65	46	a	a	DET
ajst-16292	65	47	nonlinear	nonlinear	ADJ
ajst-16292	65	48	differential	differential	ADJ
ajst-16292	65	49	operator	operator	NOUN
ajst-16292	65	50	concerning	concern	VERB
ajst-16292	65	51	spatial	spatial	ADJ
ajst-16292	65	52	coordinates	coordinate	NOUN
ajst-16292	65	53	.	.	PUNCT
ajst-16292	66	1	initially	initially	ADV
ajst-16292	66	2	,	,	PUNCT
ajst-16292	66	3	the	the	DET
ajst-16292	66	4	pinn	pinn	NOUN
ajst-16292	66	5	architecture	architecture	NOUN
ajst-16292	66	6	demonstrated	demonstrate	VERB
ajst-16292	66	7	its	its	PRON
ajst-16292	66	8	proficiency	proficiency	NOUN
ajst-16292	66	9	in	in	ADP
ajst-16292	66	10	handling	handle	VERB
ajst-16292	66	11	both	both	CCONJ
ajst-16292	66	12	forward	forward	ADV
ajst-16292	66	13	and	and	CCONJ
ajst-16292	66	14	inverse	inverse	NOUN
ajst-16292	66	15	problems	problem	NOUN
ajst-16292	66	16	.	.	PUNCT
ajst-16292	67	1	over	over	ADP
ajst-16292	67	2	the	the	DET
ajst-16292	67	3	subsequent	subsequent	ADJ
ajst-16292	67	4	years	year	NOUN
ajst-16292	67	5	,	,	PUNCT
ajst-16292	67	6	pinns	pinn	NOUN
ajst-16292	67	7	have	have	AUX
ajst-16292	67	8	expanded	expand	VERB
ajst-16292	67	9	their	their	PRON
ajst-16292	67	10	application	application	NOUN
ajst-16292	67	11	scope	scope	NOUN
ajst-16292	67	12	,	,	PUNCT
ajst-16292	67	13	venturing	venture	VERB
ajst-16292	67	14	into	into	ADP
ajst-16292	67	15	solving	solve	VERB
ajst-16292	67	16	a	a	DET
ajst-16292	67	17	diverse	diverse	ADJ
ajst-16292	67	18	array	array	NOUN
ajst-16292	67	19	of	of	ADP
ajst-16292	67	20	equations	equation	NOUN
ajst-16292	67	21	encompassing	encompass	VERB
ajst-16292	67	22	ordinary	ordinary	ADJ
ajst-16292	67	23	differential	differential	ADJ
ajst-16292	67	24	equations	equation	NOUN
ajst-16292	67	25	(	(	PUNCT
ajst-16292	67	26	odes	ode	NOUN
ajst-16292	67	27	)	)	PUNCT
ajst-16292	67	28	,	,	PUNCT
ajst-16292	67	29	partial	partial	ADJ
ajst-16292	67	30	differential	differential	NOUN
ajst-16292	67	31	equations	equation	NOUN
ajst-16292	67	32	(	(	PUNCT
ajst-16292	67	33	pdes	pde	NOUN
ajst-16292	67	34	)	)	PUNCT
ajst-16292	67	35	,	,	PUNCT
ajst-16292	67	36	fractional	fractional	ADJ
ajst-16292	67	37	pdes	pde	NOUN
ajst-16292	67	38	,	,	PUNCT
ajst-16292	67	39	integro	integro	ADJ
ajst-16292	67	40	-	-	PUNCT
ajst-16292	67	41	differential	differential	NOUN
ajst-16292	67	42	equations	equation	NOUN
ajst-16292	67	43	(	(	PUNCT
ajst-16292	67	44	ides	ide	NOUN
ajst-16292	67	45	)	)	PUNCT
ajst-16292	67	46	,	,	PUNCT
ajst-16292	67	47	and	and	CCONJ
ajst-16292	67	48	stochastic	stochastic	ADJ
ajst-16292	67	49	differential	differential	ADJ
ajst-16292	67	50	equations	equation	NOUN
ajst-16292	67	51	(	(	PUNCT
ajst-16292	67	52	sdes	sde	NOUN
ajst-16292	67	53	)	)	PUNCT
ajst-16292	67	54	.	.	PUNCT
ajst-16292	68	1	this	this	DET
ajst-16292	68	2	section	section	NOUN
ajst-16292	68	3	endeavors	endeavor	VERB
ajst-16292	68	4	to	to	PART
ajst-16292	68	5	spotlight	spotlight	VERB
ajst-16292	68	6	the	the	DET
ajst-16292	68	7	trajectory	trajectory	NOUN
ajst-16292	68	8	of	of	ADP
ajst-16292	68	9	research	research	NOUN
ajst-16292	68	10	advancements	advancement	NOUN
ajst-16292	68	11	in	in	ADP
ajst-16292	68	12	addressing	address	VERB
ajst-16292	68	13	various	various	ADJ
ajst-16292	68	14	equation	equation	NOUN
ajst-16292	68	15	types	type	NOUN
ajst-16292	68	16	,	,	PUNCT
ajst-16292	68	17	classifying	classify	VERB
ajst-16292	68	18	them	they	PRON
ajst-16292	68	19	based	base	VERB
ajst-16292	68	20	on	on	ADP
ajst-16292	68	21	their	their	PRON
ajst-16292	68	22	structures	structure	NOUN
ajst-16292	68	23	and	and	CCONJ
ajst-16292	68	24	outlining	outline	VERB
ajst-16292	68	25	seminal	seminal	ADJ
ajst-16292	68	26	contributions	contribution	NOUN
ajst-16292	68	27	from	from	ADP
ajst-16292	68	28	the	the	DET
ajst-16292	68	29	literature	literature	NOUN
ajst-16292	68	30	that	that	PRON
ajst-16292	68	31	harnessed	harness	VERB
ajst-16292	68	32	pinn	pinn	NOUN
ajst-16292	68	33	for	for	ADP
ajst-16292	68	34	such	such	ADJ
ajst-16292	68	35	problem	problem	NOUN
ajst-16292	68	36	domains	domain	NOUN
ajst-16292	68	37	.	.	PUNCT
ajst-16292	69	1	the	the	DET
ajst-16292	69	2	exploration	exploration	NOUN
ajst-16292	69	3	commences	commence	VERB
ajst-16292	69	4	with	with	ADP
ajst-16292	69	5	pinn	pinn	NOUN
ajst-16292	69	6	studies	study	NOUN
ajst-16292	69	7	tackling	tackle	VERB
ajst-16292	69	8	odes	ode	NOUN
ajst-16292	69	9	,	,	PUNCT
ajst-16292	69	10	progressing	progress	VERB
ajst-16292	69	11	then	then	ADV
ajst-16292	69	12	to	to	ADP
ajst-16292	69	13	investigations	investigation	NOUN
ajst-16292	69	14	on	on	ADP
ajst-16292	69	15	steady	steady	ADJ
ajst-16292	69	16	-	-	PUNCT
ajst-16292	69	17	state	state	NOUN
ajst-16292	69	18	pdes	pde	NOUN
ajst-16292	69	19	including	include	VERB
ajst-16292	69	20	elliptic	elliptic	ADJ
ajst-16292	69	21	type	type	NOUN
ajst-16292	69	22	equations	equation	NOUN
ajst-16292	69	23	,	,	PUNCT
ajst-16292	69	24	steady	steady	ADJ
ajst-16292	69	25	-	-	PUNCT
ajst-16292	69	26	state	state	NOUN
ajst-16292	69	27	diffusion	diffusion	NOUN
ajst-16292	69	28	,	,	PUNCT
ajst-16292	69	29	and	and	CCONJ
ajst-16292	69	30	the	the	DET
ajst-16292	69	31	eikonal	eikonal	ADJ
ajst-16292	69	32	equation	equation	NOUN
ajst-16292	69	33	.	.	PUNCT
ajst-16292	70	1	subsequently	subsequently	ADV
ajst-16292	70	2	,	,	PUNCT
ajst-16292	70	3	the	the	DET
ajst-16292	70	4	examination	examination	NOUN
ajst-16292	70	5	delves	delve	VERB
ajst-16292	70	6	into	into	ADP
ajst-16292	70	7	the	the	DET
ajst-16292	70	8	domain	domain	NOUN
ajst-16292	70	9	of	of	ADP
ajst-16292	70	10	the	the	DET
ajst-16292	70	11	48	48	NUM
ajst-16292	70	12	navier	navier	NOUN
ajst-16292	70	13	–	–	PUNCT
ajst-16292	70	14	stokes	stoke	NOUN
ajst-16292	70	15	equations	equation	NOUN
ajst-16292	70	16	,	,	PUNCT
ajst-16292	70	17	followed	follow	VERB
ajst-16292	70	18	by	by	ADP
ajst-16292	70	19	an	an	DET
ajst-16292	70	20	array	array	NOUN
ajst-16292	70	21	of	of	ADP
ajst-16292	70	22	dynamic	dynamic	ADJ
ajst-16292	70	23	problems	problem	NOUN
ajst-16292	70	24	such	such	ADJ
ajst-16292	70	25	as	as	ADP
ajst-16292	70	26	heat	heat	NOUN
ajst-16292	70	27	transport	transport	NOUN
ajst-16292	70	28	,	,	PUNCT
ajst-16292	70	29	advection	advection	NOUN
ajst-16292	70	30	-	-	PUNCT
ajst-16292	70	31	diffusion	diffusion	NOUN
ajst-16292	70	32	-	-	PUNCT
ajst-16292	70	33	reaction	reaction	NOUN
ajst-16292	70	34	systems	system	NOUN
ajst-16292	70	35	,	,	PUNCT
ajst-16292	70	36	hyperbolic	hyperbolic	ADJ
ajst-16292	70	37	equations	equation	NOUN
ajst-16292	70	38	,	,	PUNCT
ajst-16292	70	39	and	and	CCONJ
ajst-16292	70	40	euler	euler	NOUN
ajst-16292	70	41	equations	equation	NOUN
ajst-16292	70	42	or	or	CCONJ
ajst-16292	70	43	quantum	quantum	ADJ
ajst-16292	70	44	harmonic	harmonic	ADJ
ajst-16292	70	45	oscillator	oscillator	NOUN
ajst-16292	70	46	.	.	PUNCT
ajst-16292	71	1	concluding	conclude	VERB
ajst-16292	71	2	this	this	DET
ajst-16292	71	3	overview	overview	NOUN
ajst-16292	71	4	,	,	PUNCT
ajst-16292	71	5	the	the	DET
ajst-16292	71	6	section	section	NOUN
ajst-16292	71	7	delves	delve	VERB
ajst-16292	71	8	into	into	ADP
ajst-16292	71	9	bayesian	bayesian	NOUN
ajst-16292	71	10	problems	problem	NOUN
ajst-16292	71	11	associated	associate	VERB
ajst-16292	71	12	with	with	ADP
ajst-16292	71	13	the	the	DET
ajst-16292	71	14	previously	previously	ADV
ajst-16292	71	15	addressed	address	VERB
ajst-16292	71	16	pdes	pde	NOUN
ajst-16292	71	17	,	,	PUNCT
ajst-16292	71	18	shedding	shed	VERB
ajst-16292	71	19	light	light	NOUN
ajst-16292	71	20	on	on	ADP
ajst-16292	71	21	strategies	strategy	NOUN
ajst-16292	71	22	to	to	PART
ajst-16292	71	23	navigate	navigate	VERB
ajst-16292	71	24	uncertainties	uncertainty	NOUN
ajst-16292	71	25	inherent	inherent	ADJ
ajst-16292	71	26	in	in	ADP
ajst-16292	71	27	stochastic	stochastic	ADJ
ajst-16292	71	28	equations	equation	NOUN
ajst-16292	71	29	.	.	PUNCT
ajst-16292	72	1	5	5	X
ajst-16292	72	2	.	.	X
ajst-16292	72	3	application	application	NOUN
ajst-16292	72	4	and	and	CCONJ
ajst-16292	72	5	perspective	perspective	VERB
ajst-16292	72	6	the	the	DET
ajst-16292	72	7	preceding	precede	VERB
ajst-16292	72	8	sections	section	NOUN
ajst-16292	72	9	delved	delve	VERB
ajst-16292	72	10	into	into	ADP
ajst-16292	72	11	the	the	DET
ajst-16292	72	12	neural	neural	ADJ
ajst-16292	72	13	network	network	NOUN
ajst-16292	72	14	aspect	aspect	NOUN
ajst-16292	72	15	of	of	ADP
ajst-16292	72	16	the	the	DET
ajst-16292	72	17	pinn	pinn	NOUN
ajst-16292	72	18	framework	framework	NOUN
ajst-16292	72	19	and	and	CCONJ
ajst-16292	72	20	highlighted	highlight	VERB
ajst-16292	72	21	the	the	DET
ajst-16292	72	22	range	range	NOUN
ajst-16292	72	23	of	of	ADP
ajst-16292	72	24	equations	equation	NOUN
ajst-16292	72	25	addressed	address	VERB
ajst-16292	72	26	in	in	ADP
ajst-16292	72	27	existing	exist	VERB
ajst-16292	72	28	literature	literature	NOUN
ajst-16292	72	29	.	.	PUNCT
ajst-16292	73	1	this	this	DET
ajst-16292	73	2	section	section	NOUN
ajst-16292	73	3	initiates	initiate	VERB
ajst-16292	73	4	by	by	ADP
ajst-16292	73	5	exploring	explore	VERB
ajst-16292	73	6	the	the	DET
ajst-16292	73	7	management	management	NOUN
ajst-16292	73	8	of	of	ADP
ajst-16292	73	9	physical	physical	ADJ
ajst-16292	73	10	information	information	NOUN
ajst-16292	73	11	within	within	ADP
ajst-16292	73	12	the	the	DET
ajst-16292	73	13	pinn	pinn	NOUN
ajst-16292	73	14	framework	framework	NOUN
ajst-16292	73	15	—	—	PUNCT
ajst-16292	73	16	an	an	DET
ajst-16292	73	17	examination	examination	NOUN
ajst-16292	73	18	into	into	ADP
ajst-16292	73	19	how	how	SCONJ
ajst-16292	73	20	data	datum	NOUN
ajst-16292	73	21	and	and	CCONJ
ajst-16292	73	22	models	model	NOUN
ajst-16292	73	23	intertwine	intertwine	VERB
ajst-16292	73	24	to	to	PART
ajst-16292	73	25	enhance	enhance	VERB
ajst-16292	73	26	efficacy	efficacy	NOUN
ajst-16292	73	27	.	.	PUNCT
ajst-16292	74	1	subsequently	subsequently	ADV
ajst-16292	74	2	,	,	PUNCT
ajst-16292	74	3	it	it	PRON
ajst-16292	74	4	scrutinizes	scrutinize	VERB
ajst-16292	74	5	real	real	ADJ
ajst-16292	74	6	-	-	PUNCT
ajst-16292	74	7	world	world	NOUN
ajst-16292	74	8	applications	application	NOUN
ajst-16292	74	9	of	of	ADP
ajst-16292	74	10	pinns	pinn	NOUN
ajst-16292	74	11	,	,	PUNCT
ajst-16292	74	12	shedding	shed	VERB
ajst-16292	74	13	light	light	NOUN
ajst-16292	74	14	on	on	ADP
ajst-16292	74	15	software	software	NOUN
ajst-16292	74	16	platforms	platform	NOUN
ajst-16292	74	17	like	like	ADP
ajst-16292	74	18	deepxde	deepxde	NOUN
ajst-16292	74	19	,	,	PUNCT
ajst-16292	74	20	neuralpde	neuralpde	ADJ
ajst-16292	74	21	,	,	PUNCT
ajst-16292	74	22	neurodiffeq	neurodiffeq	ADJ
ajst-16292	74	23	,	,	PUNCT
ajst-16292	74	24	and	and	CCONJ
ajst-16292	74	25	others	other	NOUN
ajst-16292	74	26	,	,	PUNCT
ajst-16292	74	27	all	all	PRON
ajst-16292	74	28	of	of	ADP
ajst-16292	74	29	which	which	PRON
ajst-16292	74	30	emerged	emerge	VERB
ajst-16292	74	31	in	in	ADP
ajst-16292	74	32	2019	2019	NUM
ajst-16292	74	33	,	,	PUNCT
ajst-16292	74	34	fostering	foster	VERB
ajst-16292	74	35	advancements	advancement	NOUN
ajst-16292	74	36	in	in	ADP
ajst-16292	74	37	pinn	pinn	PROPN
ajst-16292	74	38	design	design	NOUN
ajst-16292	74	39	.	.	PUNCT
ajst-16292	75	1	the	the	DET
ajst-16292	75	2	future	future	ADJ
ajst-16292	75	3	trajectory	trajectory	NOUN
ajst-16292	75	4	of	of	ADP
ajst-16292	75	5	pinn	pinn	PROPN
ajst-16292	75	6	's	's	PART
ajst-16292	75	7	theoretical	theoretical	ADJ
ajst-16292	75	8	or	or	CCONJ
ajst-16292	75	9	applied	apply	VERB
ajst-16292	75	10	configurations	configuration	NOUN
ajst-16292	75	11	remains	remain	VERB
ajst-16292	75	12	uncertain	uncertain	ADJ
ajst-16292	75	13	.	.	PUNCT
ajst-16292	76	1	here	here	ADV
ajst-16292	76	2	,	,	PUNCT
ajst-16292	76	3	we	we	PRON
ajst-16292	76	4	can	can	AUX
ajst-16292	76	5	evaluate	evaluate	VERB
ajst-16292	76	6	incomplete	incomplete	ADJ
ajst-16292	76	7	findings	finding	NOUN
ajst-16292	76	8	from	from	ADP
ajst-16292	76	9	papers	paper	NOUN
ajst-16292	76	10	,	,	PUNCT
ajst-16292	76	11	scrutinize	scrutinize	VERB
ajst-16292	76	12	the	the	DET
ajst-16292	76	13	most	most	ADV
ajst-16292	76	14	contentious	contentious	ADJ
ajst-16292	76	15	aspects	aspect	NOUN
ajst-16292	76	16	of	of	ADP
ajst-16292	76	17	pinns	pinn	NOUN
ajst-16292	76	18	,	,	PUNCT
ajst-16292	76	19	identify	identify	VERB
ajst-16292	76	20	unexplored	unexplored	ADJ
ajst-16292	76	21	realms	realm	NOUN
ajst-16292	76	22	,	,	PUNCT
ajst-16292	76	23	and	and	CCONJ
ajst-16292	76	24	delineate	delineate	VERB
ajst-16292	76	25	intersections	intersection	NOUN
ajst-16292	76	26	with	with	ADP
ajst-16292	76	27	other	other	ADJ
ajst-16292	76	28	disciplines	discipline	NOUN
ajst-16292	76	29	.	.	PUNCT
ajst-16292	77	1	despite	despite	SCONJ
ajst-16292	77	2	significant	significant	ADJ
ajst-16292	77	3	strides	stride	NOUN
ajst-16292	77	4	in	in	ADP
ajst-16292	77	5	augmenting	augment	VERB
ajst-16292	77	6	pinn	pinn	NOUN
ajst-16292	77	7	capabilities	capability	NOUN
ajst-16292	77	8	through	through	ADP
ajst-16292	77	9	published	publish	VERB
ajst-16292	77	10	works	work	NOUN
ajst-16292	77	11	,	,	PUNCT
ajst-16292	77	12	numerous	numerous	ADJ
ajst-16292	77	13	unresolved	unresolved	ADJ
ajst-16292	77	14	issues	issue	NOUN
ajst-16292	77	15	persist	persist	VERB
ajst-16292	77	16	.	.	PUNCT
ajst-16292	78	1	these	these	PRON
ajst-16292	78	2	encompass	encompass	VERB
ajst-16292	78	3	a	a	DET
ajst-16292	78	4	broad	broad	ADJ
ajst-16292	78	5	spectrum	spectrum	NOUN
ajst-16292	78	6	,	,	PUNCT
ajst-16292	78	7	spanning	span	VERB
ajst-16292	78	8	from	from	ADP
ajst-16292	78	9	theoretical	theoretical	ADJ
ajst-16292	78	10	considerations	consideration	NOUN
ajst-16292	78	11	—	—	PUNCT
ajst-16292	78	12	such	such	ADJ
ajst-16292	78	13	as	as	ADP
ajst-16292	78	14	convergence	convergence	NOUN
ajst-16292	78	15	and	and	CCONJ
ajst-16292	78	16	stability	stability	NOUN
ajst-16292	78	17	—	—	PUNCT
ajst-16292	78	18	to	to	ADP
ajst-16292	78	19	implementation	implementation	NOUN
ajst-16292	78	20	challenges	challenge	NOUN
ajst-16292	78	21	,	,	PUNCT
ajst-16292	78	22	including	include	VERB
ajst-16292	78	23	boundary	boundary	ADJ
ajst-16292	78	24	condition	condition	NOUN
ajst-16292	78	25	management	management	NOUN
ajst-16292	78	26	,	,	PUNCT
ajst-16292	78	27	neural	neural	ADJ
ajst-16292	78	28	network	network	NOUN
ajst-16292	78	29	design	design	NOUN
ajst-16292	78	30	,	,	PUNCT
ajst-16292	78	31	general	general	ADJ
ajst-16292	78	32	pinn	pinn	NOUN
ajst-16292	78	33	architecture	architecture	NOUN
ajst-16292	78	34	,	,	PUNCT
ajst-16292	78	35	and	and	CCONJ
ajst-16292	78	36	optimization	optimization	NOUN
ajst-16292	78	37	aspects	aspect	NOUN
ajst-16292	78	38	.	.	PUNCT
ajst-16292	79	1	while	while	SCONJ
ajst-16292	79	2	pinns	pinns	ADJ
ajst-16292	79	3	and	and	CCONJ
ajst-16292	79	4	other	other	ADJ
ajst-16292	79	5	deep	deep	ADJ
ajst-16292	79	6	learning	learning	NOUN
ajst-16292	79	7	methods	method	NOUN
ajst-16292	79	8	leveraging	leverage	VERB
ajst-16292	79	9	physics	physics	NOUN
ajst-16292	79	10	priors	prior	NOUN
ajst-16292	79	11	hold	hold	VERB
ajst-16292	79	12	promise	promise	NOUN
ajst-16292	79	13	in	in	ADP
ajst-16292	79	14	solving	solve	VERB
ajst-16292	79	15	high	high	ADJ
ajst-16292	79	16	-	-	PUNCT
ajst-16292	79	17	dimensional	dimensional	ADJ
ajst-16292	79	18	pdes	pde	NOUN
ajst-16292	79	19	prevalent	prevalent	ADJ
ajst-16292	79	20	in	in	ADP
ajst-16292	79	21	physics	physics	NOUN
ajst-16292	79	22	,	,	PUNCT
ajst-16292	79	23	engineering	engineering	NOUN
ajst-16292	79	24	,	,	PUNCT
ajst-16292	79	25	and	and	CCONJ
ajst-16292	79	26	finance	finance	NOUN
ajst-16292	79	27	,	,	PUNCT
ajst-16292	79	28	they	they	PRON
ajst-16292	79	29	encounter	encounter	VERB
ajst-16292	79	30	hurdles	hurdle	NOUN
ajst-16292	79	31	in	in	ADP
ajst-16292	79	32	accurately	accurately	ADV
ajst-16292	79	33	approximating	approximate	VERB
ajst-16292	79	34	solutions	solution	NOUN
ajst-16292	79	35	compared	compare	VERB
ajst-16292	79	36	to	to	ADP
ajst-16292	79	37	specialized	specialized	PROPN
ajst-16292	79	38	numerical	numerical	ADJ
ajst-16292	79	39	methods	method	NOUN
ajst-16292	79	40	tailored	tailor	VERB
ajst-16292	79	41	for	for	ADP
ajst-16292	79	42	specific	specific	ADJ
ajst-16292	79	43	pdes	pde	NOUN
ajst-16292	79	44	.	.	PUNCT
ajst-16292	80	1	particularly	particularly	ADV
ajst-16292	80	2	,	,	PUNCT
ajst-16292	80	3	pinns	pinn	NOUN
ajst-16292	80	4	may	may	AUX
ajst-16292	80	5	struggle	struggle	VERB
ajst-16292	80	6	with	with	ADP
ajst-16292	80	7	learning	learn	VERB
ajst-16292	80	8	intricate	intricate	ADJ
ajst-16292	80	9	physical	physical	ADJ
ajst-16292	80	10	phenomena	phenomenon	NOUN
ajst-16292	80	11	,	,	PUNCT
ajst-16292	80	12	such	such	ADJ
ajst-16292	80	13	as	as	ADP
ajst-16292	80	14	solutions	solution	NOUN
ajst-16292	80	15	exhibiting	exhibit	VERB
ajst-16292	80	16	multi	multi	ADJ
ajst-16292	80	17	-	-	ADJ
ajst-16292	80	18	scale	scale	ADJ
ajst-16292	80	19	,	,	PUNCT
ajst-16292	80	20	chaotic	chaotic	ADJ
ajst-16292	80	21	,	,	PUNCT
ajst-16292	80	22	or	or	CCONJ
ajst-16292	80	23	turbulent	turbulent	ADJ
ajst-16292	80	24	behaviors	behavior	NOUN
ajst-16292	80	25	.	.	PUNCT
ajst-16292	81	1	6	6	X
ajst-16292	81	2	.	.	X
ajst-16292	81	3	conclusion	conclusion	NOUN
ajst-16292	81	4	this	this	DET
ajst-16292	81	5	review	review	NOUN
ajst-16292	81	6	serves	serve	VERB
ajst-16292	81	7	as	as	ADP
ajst-16292	81	8	an	an	DET
ajst-16292	81	9	in	in	ADP
ajst-16292	81	10	-	-	PUNCT
ajst-16292	81	11	depth	depth	NOUN
ajst-16292	81	12	exploration	exploration	NOUN
ajst-16292	81	13	of	of	ADP
ajst-16292	81	14	the	the	DET
ajst-16292	81	15	innovation	innovation	NOUN
ajst-16292	81	16	process	process	NOUN
ajst-16292	81	17	in	in	ADP
ajst-16292	81	18	the	the	DET
ajst-16292	81	19	field	field	NOUN
ajst-16292	81	20	of	of	ADP
ajst-16292	81	21	pinns	pinn	NOUN
ajst-16292	81	22	over	over	ADP
ajst-16292	81	23	the	the	DET
ajst-16292	81	24	past	past	ADJ
ajst-16292	81	25	four	four	NUM
ajst-16292	81	26	years	year	NOUN
ajst-16292	81	27	,	,	PUNCT
ajst-16292	81	28	transcending	transcend	VERB
ajst-16292	81	29	the	the	DET
ajst-16292	81	30	boundaries	boundary	NOUN
ajst-16292	81	31	of	of	ADP
ajst-16292	81	32	a	a	DET
ajst-16292	81	33	mere	mere	ADJ
ajst-16292	81	34	research	research	NOUN
ajst-16292	81	35	survey	survey	NOUN
ajst-16292	81	36	.	.	PUNCT
ajst-16292	82	1	raissi	raissi	PROPN
ajst-16292	82	2	's	's	PART
ajst-16292	82	3	seminal	seminal	ADJ
ajst-16292	82	4	research	research	NOUN
ajst-16292	82	5	[	[	X
ajst-16292	82	6	143	143	NUM
ajst-16292	82	7	,	,	PUNCT
ajst-16292	82	8	144	144	NUM
ajst-16292	82	9	]	]	PUNCT
ajst-16292	82	10	,	,	PUNCT
ajst-16292	82	11	pioneering	pioneer	VERB
ajst-16292	82	12	the	the	DET
ajst-16292	82	13	pinn	pinn	NOUN
ajst-16292	82	14	framework	framework	NOUN
ajst-16292	82	15	,	,	PUNCT
ajst-16292	82	16	initially	initially	ADV
ajst-16292	82	17	focused	focus	VERB
ajst-16292	82	18	on	on	ADP
ajst-16292	82	19	employing	employ	VERB
ajst-16292	82	20	pinns	pinn	NOUN
ajst-16292	82	21	to	to	PART
ajst-16292	82	22	solve	solve	VERB
ajst-16292	82	23	established	establish	VERB
ajst-16292	82	24	physical	physical	ADJ
ajst-16292	82	25	models	model	NOUN
ajst-16292	82	26	.	.	PUNCT
ajst-16292	83	1	these	these	DET
ajst-16292	83	2	groundbreaking	groundbreake	VERB
ajst-16292	83	3	papers	paper	NOUN
ajst-16292	83	4	propelled	propel	VERB
ajst-16292	83	5	the	the	DET
ajst-16292	83	6	pinn	pinn	NOUN
ajst-16292	83	7	methodology	methodology	NOUN
ajst-16292	83	8	into	into	ADP
ajst-16292	83	9	the	the	DET
ajst-16292	83	10	spotlight	spotlight	NOUN
ajst-16292	83	11	,	,	PUNCT
ajst-16292	83	12	further	far	ADV
ajst-16292	83	13	substantiating	substantiate	VERB
ajst-16292	83	14	its	its	PRON
ajst-16292	83	15	original	original	ADJ
ajst-16292	83	16	conceptual	conceptual	ADJ
ajst-16292	83	17	framework	framework	NOUN
ajst-16292	83	18	.	.	PUNCT
ajst-16292	84	1	across	across	ADP
ajst-16292	84	2	the	the	DET
ajst-16292	84	3	analyzed	analyze	VERB
ajst-16292	84	4	studies	study	NOUN
ajst-16292	84	5	,	,	PUNCT
ajst-16292	84	6	efforts	effort	NOUN
ajst-16292	84	7	were	be	AUX
ajst-16292	84	8	concentrated	concentrate	VERB
ajst-16292	84	9	on	on	ADP
ajst-16292	84	10	tailoring	tailor	VERB
ajst-16292	84	11	pinns	pinn	NOUN
ajst-16292	84	12	through	through	ADP
ajst-16292	84	13	adjustments	adjustment	NOUN
ajst-16292	84	14	in	in	ADP
ajst-16292	84	15	activation	activation	NOUN
ajst-16292	84	16	functions	function	NOUN
ajst-16292	84	17	,	,	PUNCT
ajst-16292	84	18	gradient	gradient	ADJ
ajst-16292	84	19	optimization	optimization	NOUN
ajst-16292	84	20	techniques	technique	NOUN
ajst-16292	84	21	,	,	PUNCT
ajst-16292	84	22	neural	neural	ADJ
ajst-16292	84	23	network	network	NOUN
ajst-16292	84	24	architectures	architecture	NOUN
ajst-16292	84	25	,	,	PUNCT
ajst-16292	84	26	and	and	CCONJ
ajst-16292	84	27	the	the	DET
ajst-16292	84	28	structures	structure	NOUN
ajst-16292	84	29	of	of	ADP
ajst-16292	84	30	loss	loss	NOUN
ajst-16292	84	31	functions	function	NOUN
ajst-16292	84	32	.	.	PUNCT
ajst-16292	85	1	an	an	DET
ajst-16292	85	2	intriguing	intriguing	ADJ
ajst-16292	85	3	extension	extension	NOUN
ajst-16292	85	4	of	of	ADP
ajst-16292	85	5	the	the	DET
ajst-16292	85	6	original	original	ADJ
ajst-16292	85	7	pinn	pinn	NOUN
ajst-16292	85	8	concept	concept	NOUN
ajst-16292	85	9	involved	involve	VERB
ajst-16292	85	10	utilizing	utilize	VERB
ajst-16292	85	11	minimal	minimal	ADJ
ajst-16292	85	12	model	model	NOUN
ajst-16292	85	13	information	information	NOUN
ajst-16292	85	14	within	within	ADP
ajst-16292	85	15	the	the	DET
ajst-16292	85	16	physical	physical	ADJ
ajst-16292	85	17	loss	loss	NOUN
ajst-16292	85	18	function	function	NOUN
ajst-16292	85	19	,	,	PUNCT
ajst-16292	85	20	bypassing	bypass	VERB
ajst-16292	85	21	typical	typical	ADJ
ajst-16292	85	22	pde	pde	NOUN
ajst-16292	85	23	equations	equation	NOUN
ajst-16292	85	24	,	,	PUNCT
ajst-16292	85	25	while	while	SCONJ
ajst-16292	85	26	concurrently	concurrently	ADV
ajst-16292	85	27	embedding	embed	VERB
ajst-16292	85	28	the	the	DET
ajst-16292	85	29	validity	validity	NOUN
ajst-16292	85	30	of	of	ADP
ajst-16292	85	31	initial	initial	ADJ
ajst-16292	85	32	or	or	CCONJ
ajst-16292	85	33	boundary	boundary	ADJ
ajst-16292	85	34	conditions	condition	NOUN
ajst-16292	85	35	directly	directly	ADV
ajst-16292	85	36	into	into	ADP
ajst-16292	85	37	the	the	DET
ajst-16292	85	38	nn	nn	PROPN
ajst-16292	85	39	structure	structure	NOUN
ajst-16292	85	40	.	.	PUNCT
ajst-16292	86	1	fewer	few	ADJ
ajst-16292	86	2	studies	study	NOUN
ajst-16292	86	3	delved	delve	VERB
ajst-16292	86	4	into	into	ADP
ajst-16292	86	5	alternatives	alternative	NOUN
ajst-16292	86	6	to	to	ADP
ajst-16292	86	7	automatic	automatic	ADJ
ajst-16292	86	8	differentiation	differentiation	NOUN
ajst-16292	86	9	or	or	CCONJ
ajst-16292	86	10	grappled	grapple	VERB
ajst-16292	86	11	with	with	ADP
ajst-16292	86	12	convergence	convergence	NOUN
ajst-16292	86	13	issues[33	issues[33	NOUN
ajst-16292	86	14	]	]	X
ajst-16292	86	15	.	.	PUNCT
ajst-16292	87	1	a	a	DET
ajst-16292	87	2	pivotal	pivotal	ADJ
ajst-16292	87	3	subset	subset	NOUN
ajst-16292	87	4	of	of	ADP
ajst-16292	87	5	publications	publication	NOUN
ajst-16292	87	6	aimed	aim	VERB
ajst-16292	87	7	to	to	PART
ajst-16292	87	8	elevate	elevate	VERB
ajst-16292	87	9	this	this	DET
ajst-16292	87	10	progression	progression	NOUN
ajst-16292	87	11	by	by	ADP
ajst-16292	87	12	introducing	introduce	VERB
ajst-16292	87	13	comprehensive	comprehensive	ADJ
ajst-16292	87	14	frameworks	framework	NOUN
ajst-16292	87	15	catering	cater	VERB
ajst-16292	87	16	to	to	ADP
ajst-16292	87	17	various	various	ADJ
ajst-16292	87	18	sub	sub	NOUN
ajst-16292	87	19	-	-	NOUN
ajst-16292	87	20	types	type	NOUN
ajst-16292	87	21	of	of	ADP
ajst-16292	87	22	physical	physical	ADJ
ajst-16292	87	23	problems	problem	NOUN
ajst-16292	87	24	or	or	CCONJ
ajst-16292	87	25	multi	multi	ADJ
ajst-16292	87	26	-	-	ADJ
ajst-16292	87	27	physics	physics	ADJ
ajst-16292	87	28	systems[33	systems[33	NOUN
ajst-16292	87	29	]	]	X
ajst-16292	87	30	.	.	PUNCT
ajst-16292	88	1	the	the	DET
ajst-16292	88	2	foundational	foundational	ADJ
ajst-16292	88	3	brilliance	brilliance	NOUN
ajst-16292	88	4	of	of	ADP
ajst-16292	88	5	the	the	DET
ajst-16292	88	6	initial	initial	ADJ
ajst-16292	88	7	pinn	pinn	NOUN
ajst-16292	88	8	articles	article	NOUN
ajst-16292	88	9	lies	lie	VERB
ajst-16292	88	10	in	in	ADP
ajst-16292	88	11	reviving	revive	VERB
ajst-16292	88	12	the	the	DET
ajst-16292	88	13	optimization	optimization	NOUN
ajst-16292	88	14	of	of	ADP
ajst-16292	88	15	problems	problem	NOUN
ajst-16292	88	16	with	with	ADP
ajst-16292	88	17	physical	physical	ADJ
ajst-16292	88	18	constraints	constraint	NOUN
ajst-16292	88	19	,	,	PUNCT
ajst-16292	88	20	first	first	ADV
ajst-16292	88	21	approximating	approximate	VERB
ajst-16292	88	22	the	the	DET
ajst-16292	88	23	unknown	unknown	ADJ
ajst-16292	88	24	function	function	NOUN
ajst-16292	88	25	using	use	VERB
ajst-16292	88	26	a	a	DET
ajst-16292	88	27	neural	neural	ADJ
ajst-16292	88	28	network	network	NOUN
ajst-16292	88	29	,	,	PUNCT
ajst-16292	88	30	and	and	CCONJ
ajst-16292	88	31	subsequently	subsequently	ADV
ajst-16292	88	32	expanding	expand	VERB
ajst-16292	88	33	this	this	DET
ajst-16292	88	34	approach	approach	NOUN
ajst-16292	88	35	into	into	ADP
ajst-16292	88	36	a	a	DET
ajst-16292	88	37	hybrid	hybrid	ADJ
ajst-16292	88	38	data	data	NOUN
ajst-16292	88	39	-	-	PUNCT
ajst-16292	88	40	equation	equation	NOUN
ajst-16292	88	41	-	-	PUNCT
ajst-16292	88	42	driven	drive	VERB
ajst-16292	88	43	methodology	methodology	NOUN
ajst-16292	88	44	within	within	ADP
ajst-16292	88	45	contemporary	contemporary	ADJ
ajst-16292	88	46	research	research	NOUN
ajst-16292	88	47	.	.	PUNCT
ajst-16292	89	1	prior	prior	ADJ
ajst-16292	89	2	studies	study	NOUN
ajst-16292	89	3	in	in	ADP
ajst-16292	89	4	past	past	ADJ
ajst-16292	89	5	years	year	NOUN
ajst-16292	89	6	employed	employ	VERB
ajst-16292	89	7	diverse	diverse	ADJ
ajst-16292	89	8	methods	method	NOUN
ajst-16292	89	9	to	to	PART
ajst-16292	89	10	approximate	approximate	VERB
ajst-16292	89	11	the	the	DET
ajst-16292	89	12	unknown	unknown	ADJ
ajst-16292	89	13	function	function	NOUN
ajst-16292	89	14	,	,	PUNCT
ajst-16292	89	15	such	such	ADJ
ajst-16292	89	16	as	as	ADP
ajst-16292	89	17	kernel	kernel	NOUN
ajst-16292	89	18	approaches	approach	NOUN
ajst-16292	89	19	or	or	CCONJ
ajst-16292	89	20	utilizing	utilize	VERB
ajst-16292	89	21	pde	pde	NOUN
ajst-16292	89	22	functions	function	NOUN
ajst-16292	89	23	as	as	ADP
ajst-16292	89	24	constraints	constraint	NOUN
ajst-16292	89	25	in	in	ADP
ajst-16292	89	26	optimization	optimization	NOUN
ajst-16292	89	27	problems[34	problems[34	NOUN
ajst-16292	89	28	]	]	PUNCT
ajst-16292	89	29	.	.	PUNCT
ajst-16292	90	1	nonetheless	nonetheless	ADV
ajst-16292	90	2	,	,	PUNCT
ajst-16292	90	3	pinns	pinn	NOUN
ajst-16292	90	4	are	be	AUX
ajst-16292	90	5	inherently	inherently	ADV
ajst-16292	90	6	grounded	ground	VERB
ajst-16292	90	7	in	in	ADP
ajst-16292	90	8	physical	physical	ADJ
ajst-16292	90	9	information	information	NOUN
ajst-16292	90	10	,	,	PUNCT
ajst-16292	90	11	derived	derive	VERB
ajst-16292	90	12	either	either	CCONJ
ajst-16292	90	13	from	from	ADP
ajst-16292	90	14	data	datum	NOUN
ajst-16292	90	15	point	point	NOUN
ajst-16292	90	16	values	value	NOUN
ajst-16292	90	17	—	—	PUNCT
ajst-16292	90	18	usually	usually	ADV
ajst-16292	90	19	confined	confine	VERB
ajst-16292	90	20	to	to	ADP
ajst-16292	90	21	initial	initial	ADJ
ajst-16292	90	22	or	or	CCONJ
ajst-16292	90	23	boundary	boundary	ADJ
ajst-16292	90	24	data	datum	NOUN
ajst-16292	90	25	—	—	PUNCT
ajst-16292	90	26	or	or	CCONJ
ajst-16292	90	27	from	from	ADP
ajst-16292	90	28	collocation	collocation	NOUN
ajst-16292	90	29	points	point	NOUN
ajst-16292	90	30	enforcing	enforce	VERB
ajst-16292	90	31	compliance	compliance	NOUN
ajst-16292	90	32	with	with	ADP
ajst-16292	90	33	the	the	DET
ajst-16292	90	34	physical	physical	ADJ
ajst-16292	90	35	model	model	NOUN
ajst-16292	90	36	equation	equation	NOUN
ajst-16292	90	37	.	.	PUNCT
ajst-16292	91	1	this	this	DET
ajst-16292	91	2	survey	survey	NOUN
ajst-16292	91	3	delves	delve	VERB
ajst-16292	91	4	into	into	ADP
ajst-16292	91	5	the	the	DET
ajst-16292	91	6	evolution	evolution	NOUN
ajst-16292	91	7	of	of	ADP
ajst-16292	91	8	pinns	pinn	NOUN
ajst-16292	91	9	from	from	ADP
ajst-16292	91	10	their	their	PRON
ajst-16292	91	11	inception	inception	NOUN
ajst-16292	91	12	in	in	ADP
ajst-16292	91	13	the	the	DET
ajst-16292	91	14	pioneering	pioneering	ADJ
ajst-16292	91	15	works	work	NOUN
ajst-16292	91	16	and	and	CCONJ
ajst-16292	91	17	tracks	track	VERB
ajst-16292	91	18	the	the	DET
ajst-16292	91	19	progression	progression	NOUN
ajst-16292	91	20	of	of	ADP
ajst-16292	91	21	integrating	integrate	VERB
ajst-16292	91	22	physical	physical	ADJ
ajst-16292	91	23	priors	prior	NOUN
ajst-16292	91	24	into	into	ADP
ajst-16292	91	25	neural	neural	ADJ
ajst-16292	91	26	networks	network	NOUN
ajst-16292	91	27	.	.	PUNCT
ajst-16292	92	1	it	it	PRON
ajst-16292	92	2	scrutinizes	scrutinize	VERB
ajst-16292	92	3	pinns	pinn	NOUN
ajst-16292	92	4	as	as	ADP
ajst-16292	92	5	a	a	DET
ajst-16292	92	6	collocation	collocation	NOUN
ajst-16292	92	7	-	-	PUNCT
ajst-16292	92	8	based	base	VERB
ajst-16292	92	9	method	method	NOUN
ajst-16292	92	10	for	for	ADP
ajst-16292	92	11	solving	solve	VERB
ajst-16292	92	12	differential	differential	ADJ
ajst-16292	92	13	equations	equation	NOUN
ajst-16292	92	14	using	use	VERB
ajst-16292	92	15	neural	neural	ADJ
ajst-16292	92	16	networks	network	NOUN
ajst-16292	92	17	,	,	PUNCT
ajst-16292	92	18	encompassing	encompass	VERB
ajst-16292	92	19	various	various	ADJ
ajst-16292	92	20	iterations	iteration	NOUN
ajst-16292	92	21	such	such	ADJ
ajst-16292	92	22	as	as	ADP
ajst-16292	92	23	the	the	DET
ajst-16292	92	24	variational	variational	ADJ
ajst-16292	92	25	pinn	pinn	NOUN
ajst-16292	92	26	(	(	PUNCT
ajst-16292	92	27	vpinn	vpinn	NOUN
ajst-16292	92	28	)	)	PUNCT
ajst-16292	92	29	in	in	ADP
ajst-16292	92	30	its	its	PRON
ajst-16292	92	31	soft	soft	ADJ
ajst-16292	92	32	and	and	CCONJ
ajst-16292	92	33	hard	hard	ADJ
ajst-16292	92	34	form	form	NOUN
ajst-16292	92	35	,	,	PUNCT
ajst-16292	92	36	incorporating	incorporate	VERB
ajst-16292	92	37	initial	initial	ADJ
ajst-16292	92	38	and	and	CCONJ
ajst-16292	92	39	boundary	boundary	ADJ
ajst-16292	92	40	conditions	condition	NOUN
ajst-16292	92	41	into	into	ADP
ajst-16292	92	42	loss	loss	NOUN
ajst-16292	92	43	functions	function	NOUN
ajst-16292	92	44	or	or	CCONJ
ajst-16292	92	45	embedding	embed	VERB
ajst-16292	92	46	boundary	boundary	ADJ
ajst-16292	92	47	conditions	condition	NOUN
ajst-16292	92	48	within	within	ADP
ajst-16292	92	49	the	the	DET
ajst-16292	92	50	neural	neural	ADJ
ajst-16292	92	51	network	network	NOUN
ajst-16292	92	52	structure	structure	NOUN
ajst-16292	92	53	.	.	PUNCT
ajst-16292	93	1	the	the	DET
ajst-16292	93	2	survey	survey	NOUN
ajst-16292	93	3	meticulously	meticulously	ADV
ajst-16292	93	4	dissects	dissect	VERB
ajst-16292	93	5	the	the	DET
ajst-16292	93	6	pinn	pinn	NOUN
ajst-16292	93	7	pipeline	pipeline	NOUN
ajst-16292	93	8	,	,	PUNCT
ajst-16292	93	9	examining	examine	VERB
ajst-16292	93	10	each	each	DET
ajst-16292	93	11	fundamental	fundamental	ADJ
ajst-16292	93	12	component	component	NOUN
ajst-16292	93	13	:	:	PUNCT
ajst-16292	93	14	neural	neural	ADJ
ajst-16292	93	15	networks	network	NOUN
ajst-16292	93	16	,	,	PUNCT
ajst-16292	93	17	the	the	DET
ajst-16292	93	18	construction	construction	NOUN
ajst-16292	93	19	of	of	ADP
ajst-16292	93	20	loss	loss	NOUN
ajst-16292	93	21	functions	function	NOUN
ajst-16292	93	22	based	base	VERB
ajst-16292	93	23	on	on	ADP
ajst-16292	93	24	physical	physical	ADJ
ajst-16292	93	25	models	model	NOUN
ajst-16292	93	26	,	,	PUNCT
ajst-16292	93	27	and	and	CCONJ
ajst-16292	93	28	the	the	DET
ajst-16292	93	29	feedback	feedback	NOUN
ajst-16292	93	30	mechanism	mechanism	NOUN
ajst-16292	93	31	.	.	PUNCT
ajst-16292	94	1	it	it	PRON
ajst-16292	94	2	provides	provide	VERB
ajst-16292	94	3	an	an	DET
ajst-16292	94	4	overarching	overarching	ADJ
ajst-16292	94	5	analysis	analysis	NOUN
ajst-16292	94	6	of	of	ADP
ajst-16292	94	7	examples	example	NOUN
ajst-16292	94	8	where	where	SCONJ
ajst-16292	94	9	the	the	DET
ajst-16292	94	10	pinn	pinn	NOUN
ajst-16292	94	11	methodology	methodology	NOUN
ajst-16292	94	12	has	have	AUX
ajst-16292	94	13	been	be	AUX
ajst-16292	94	14	applied	apply	VERB
ajst-16292	94	15	and	and	CCONJ
ajst-16292	94	16	offers	offer	VERB
ajst-16292	94	17	insights	insight	NOUN
ajst-16292	94	18	into	into	ADP
ajst-16292	94	19	concrete	concrete	ADJ
ajst-16292	94	20	applications	application	NOUN
ajst-16292	94	21	of	of	ADP
ajst-16292	94	22	pinns	pinn	NOUN
ajst-16292	94	23	along	along	ADV
ajst-16292	94	24	with	with	ADP
ajst-16292	94	25	available	available	ADJ
ajst-16292	94	26	software	software	NOUN
ajst-16292	94	27	packages	package	NOUN
ajst-16292	94	28	.	.	PUNCT
ajst-16292	95	1	however	however	ADV
ajst-16292	95	2	,	,	PUNCT
ajst-16292	95	3	despite	despite	SCONJ
ajst-16292	95	4	significant	significant	ADJ
ajst-16292	95	5	advancements	advancement	NOUN
ajst-16292	95	6	,	,	PUNCT
ajst-16292	95	7	numerous	numerous	ADJ
ajst-16292	95	8	opportunities	opportunity	NOUN
ajst-16292	95	9	for	for	ADP
ajst-16292	95	10	improvement	improvement	NOUN
ajst-16292	95	11	persist	persist	NOUN
ajst-16292	95	12	,	,	PUNCT
ajst-16292	95	13	especially	especially	ADV
ajst-16292	95	14	in	in	ADP
ajst-16292	95	15	unresolved	unresolved	ADJ
ajst-16292	95	16	theoretical	theoretical	ADJ
ajst-16292	95	17	quandaries	quandary	NOUN
ajst-16292	95	18	.	.	PUNCT
ajst-16292	96	1	there	there	PRON
ajst-16292	96	2	remains	remain	VERB
ajst-16292	96	3	untapped	untapped	ADJ
ajst-16292	96	4	potential	potential	NOUN
ajst-16292	96	5	for	for	ADP
ajst-16292	96	6	optimizing	optimize	VERB
ajst-16292	96	7	pinn	pinn	NOUN
ajst-16292	96	8	training	training	NOUN
ajst-16292	96	9	and	and	CCONJ
ajst-16292	96	10	extending	extend	VERB
ajst-16292	96	11	their	their	PRON
ajst-16292	96	12	capabilities	capability	NOUN
ajst-16292	96	13	to	to	PART
ajst-16292	96	14	tackle	tackle	VERB
ajst-16292	96	15	multiple	multiple	ADJ
ajst-16292	96	16	equations	equation	NOUN
ajst-16292	96	17	effectively	effectively	ADV
ajst-16292	96	18	.	.	PUNCT
ajst-16292	97	1	references	reference	NOUN
ajst-16292	97	2	[	[	X
ajst-16292	97	3	1	1	X
ajst-16292	97	4	]	]	PUNCT
ajst-16292	97	5	j.	j.	PROPN
ajst-16292	97	6	wu	wu	PROPN
ajst-16292	97	7	,	,	PUNCT
ajst-16292	97	8	n.	n.	PROPN
ajst-16292	97	9	hovakimyan	hovakimyan	PROPN
ajst-16292	97	10	,	,	PUNCT
ajst-16292	97	11	j.	j.	PROPN
ajst-16292	97	12	hobbs	hobbs	PROPN
ajst-16292	97	13	,	,	PUNCT
ajst-16292	97	14	genco	genco	PROPN
ajst-16292	97	15	:	:	PUNCT
ajst-16292	97	16	an	an	DET
ajst-16292	97	17	auxiliary	auxiliary	ADJ
ajst-16292	97	18	generator	generator	NOUN
ajst-16292	97	19	from	from	ADP
ajst-16292	97	20	contrastive	contrastive	ADJ
ajst-16292	97	21	learning	learning	NOUN
ajst-16292	97	22	for	for	ADP
ajst-16292	97	23	enhanced	enhanced	ADJ
ajst-16292	97	24	few	few	ADJ
ajst-16292	97	25	-	-	PUNCT
ajst-16292	97	26	shot	shot	NOUN
ajst-16292	97	27	learning	learning	NOUN
ajst-16292	97	28	in	in	ADP
ajst-16292	97	29	remote	remote	ADJ
ajst-16292	97	30	sensing	sensing	NOUN
ajst-16292	97	31	,	,	PUNCT
ajst-16292	97	32	arxiv	arxiv	PROPN
ajst-16292	97	33	preprint	preprint	NOUN
ajst-16292	97	34	arxiv:2307.14612	arxiv:2307.14612	NOUN
ajst-16292	97	35	(	(	PUNCT
ajst-16292	97	36	2023	2023	NUM
ajst-16292	97	37	)	)	PUNCT
ajst-16292	97	38	.	.	PUNCT
ajst-16292	98	1	[	[	X
ajst-16292	98	2	2	2	NUM
ajst-16292	98	3	]	]	X
ajst-16292	98	4	y.	y.	PROPN
ajst-16292	98	5	tang	tang	PROPN
ajst-16292	98	6	,	,	PUNCT
ajst-16292	98	7	j.	j.	PROPN
ajst-16292	98	8	yan	yan	PROPN
ajst-16292	98	9	,	,	PUNCT
ajst-16292	98	10	y.	y.	PROPN
ajst-16292	98	11	wu	wu	PROPN
ajst-16292	98	12	,	,	PUNCT
ajst-16292	98	13	j.	j.	PROPN
ajst-16292	98	14	hong	hong	PROPN
ajst-16292	98	15	,	,	PUNCT
ajst-16292	98	16	l.	l.	PROPN
ajst-16292	98	17	xu	xu	PROPN
ajst-16292	98	18	,	,	PUNCT
ajst-16292	98	19	z.	z.	PROPN
ajst-16292	98	20	lin	lin	PROPN
ajst-16292	98	21	,	,	PUNCT
ajst-16292	98	22	design	design	NOUN
ajst-16292	98	23	of	of	ADP
ajst-16292	98	24	remote	remote	ADJ
ajst-16292	98	25	sensing	sense	VERB
ajst-16292	98	26	image	image	NOUN
ajst-16292	98	27	data	datum	NOUN
ajst-16292	98	28	analysis	analysis	NOUN
ajst-16292	98	29	and	and	CCONJ
ajst-16292	98	30	processing	processing	NOUN
ajst-16292	98	31	platform	platform	NOUN
ajst-16292	98	32	based	base	VERB
ajst-16292	98	33	on	on	ADP
ajst-16292	98	34	environmental	environmental	ADJ
ajst-16292	98	35	monitoring	monitoring	NOUN
ajst-16292	98	36	,	,	PUNCT
ajst-16292	98	37	journal	journal	NOUN
ajst-16292	98	38	of	of	ADP
ajst-16292	98	39	physics	physics	PROPN
ajst-16292	98	40	:	:	PUNCT
ajst-16292	98	41	conference	conference	NOUN
ajst-16292	98	42	series	series	NOUN
ajst-16292	98	43	,	,	PUNCT
ajst-16292	98	44	iop	iop	NOUN
ajst-16292	98	45	publishing	publishing	NOUN
ajst-16292	98	46	,	,	PUNCT
ajst-16292	98	47	2021	2021	NUM
ajst-16292	98	48	,	,	PUNCT
ajst-16292	98	49	p.	p.	NOUN
ajst-16292	98	50	012056	012056	NUM
ajst-16292	98	51	.	.	PUNCT
ajst-16292	99	1	[	[	X
ajst-16292	99	2	3	3	X
ajst-16292	99	3	]	]	X
ajst-16292	99	4	j.	j.	PROPN
ajst-16292	99	5	wu	wu	PROPN
ajst-16292	99	6	,	,	PUNCT
ajst-16292	99	7	d.	d.	PROPN
ajst-16292	99	8	pichler	pichler	PROPN
ajst-16292	99	9	,	,	PUNCT
ajst-16292	99	10	d.	d.	PROPN
ajst-16292	99	11	marley	marley	PROPN
ajst-16292	99	12	,	,	PUNCT
ajst-16292	99	13	d.	d.	PROPN
ajst-16292	99	14	wilson	wilson	PROPN
ajst-16292	99	15	,	,	PUNCT
ajst-16292	99	16	n.	n.	PROPN
ajst-16292	99	17	hovakimyan	hovakimyan	PROPN
ajst-16292	99	18	,	,	PUNCT
ajst-16292	99	19	j.	j.	PROPN
ajst-16292	99	20	hobbs	hobbs	PROPN
ajst-16292	99	21	,	,	PUNCT
ajst-16292	99	22	extended	extend	VERB
ajst-16292	99	23	agriculture	agriculture	NOUN
ajst-16292	99	24	-	-	PUNCT
ajst-16292	99	25	vision	vision	NOUN
ajst-16292	99	26	:	:	PUNCT
ajst-16292	99	27	an	an	DET
ajst-16292	99	28	extension	extension	NOUN
ajst-16292	99	29	of	of	ADP
ajst-16292	99	30	a	a	DET
ajst-16292	99	31	large	large	ADJ
ajst-16292	99	32	aerial	aerial	ADJ
ajst-16292	99	33	image	image	NOUN
ajst-16292	99	34	dataset	dataset	VERB
ajst-16292	99	35	for	for	ADP
ajst-16292	99	36	agricultural	agricultural	ADJ
ajst-16292	99	37	pattern	pattern	NOUN
ajst-16292	99	38	analysis	analysis	NOUN
ajst-16292	99	39	,	,	PUNCT
ajst-16292	99	40	arxiv	arxiv	PROPN
ajst-16292	99	41	preprint	preprint	NOUN
ajst-16292	99	42	arxiv:2303.02460	arxiv:2303.02460	PROPN
ajst-16292	99	43	(	(	PUNCT
ajst-16292	99	44	2023	2023	NUM
ajst-16292	99	45	)	)	PUNCT
ajst-16292	99	46	.	.	PUNCT
ajst-16292	100	1	[	[	X
ajst-16292	100	2	4	4	X
ajst-16292	100	3	]	]	PUNCT
ajst-16292	100	4	j.	j.	PROPN
ajst-16292	100	5	wu	wu	PROPN
ajst-16292	100	6	,	,	PUNCT
ajst-16292	100	7	j.	j.	PROPN
ajst-16292	100	8	hobbs	hobbs	PROPN
ajst-16292	100	9	,	,	PUNCT
ajst-16292	100	10	n.	n.	PROPN
ajst-16292	100	11	hovakimyan	hovakimyan	PROPN
ajst-16292	100	12	,	,	PUNCT
ajst-16292	100	13	hallucination	hallucination	NOUN
ajst-16292	100	14	improves	improve	VERB
ajst-16292	100	15	the	the	DET
ajst-16292	100	16	performance	performance	NOUN
ajst-16292	100	17	of	of	ADP
ajst-16292	100	18	unsupervised	unsupervised	ADJ
ajst-16292	100	19	visual	visual	ADJ
ajst-16292	100	20	representation	representation	NOUN
ajst-16292	100	21	learning	learning	NOUN
ajst-16292	100	22	,	,	PUNCT
ajst-16292	100	23	proceedings	proceeding	NOUN
ajst-16292	100	24	of	of	ADP
ajst-16292	100	25	the	the	DET
ajst-16292	100	26	ieee	ieee	NOUN
ajst-16292	100	27	/	/	SYM
ajst-16292	100	28	cvf	cvf	NOUN
ajst-16292	100	29	international	international	ADJ
ajst-16292	100	30	conference	conference	NOUN
ajst-16292	100	31	on	on	ADP
ajst-16292	100	32	computer	computer	NOUN
ajst-16292	100	33	vision	vision	NOUN
ajst-16292	100	34	,	,	PUNCT
ajst-16292	100	35	2023	2023	NUM
ajst-16292	100	36	,	,	PUNCT
ajst-16292	100	37	pp	pp	ADJ
ajst-16292	100	38	.	.	PUNCT
ajst-16292	101	1	16132	16132	NUM
ajst-16292	101	2	-	-	SYM
ajst-16292	101	3	16143	16143	NUM
ajst-16292	101	4	.	.	PUNCT
ajst-16292	102	1	[	[	X
ajst-16292	102	2	5	5	NUM
ajst-16292	102	3	]	]	PUNCT
ajst-16292	102	4	z.	z.	PROPN
ajst-16292	102	5	xu	xu	PROPN
ajst-16292	102	6	,	,	PUNCT
ajst-16292	102	7	analysis	analysis	NOUN
ajst-16292	102	8	and	and	CCONJ
ajst-16292	102	9	research	research	NOUN
ajst-16292	102	10	on	on	ADP
ajst-16292	102	11	financial	financial	ADJ
ajst-16292	102	12	risk	risk	NOUN
ajst-16292	102	13	prevention	prevention	NOUN
ajst-16292	102	14	based	base	VERB
ajst-16292	102	15	on	on	ADP
ajst-16292	102	16	artificial	artificial	ADJ
ajst-16292	102	17	intelligence	intelligence	NOUN
ajst-16292	102	18	algorithms	algorithm	NOUN
ajst-16292	102	19	,	,	PUNCT
ajst-16292	102	20	proceedings	proceeding	NOUN
ajst-16292	102	21	of	of	ADP
ajst-16292	102	22	the	the	DET
ajst-16292	102	23	2nd	2nd	ADJ
ajst-16292	102	24	international	international	ADJ
ajst-16292	102	25	conference	conference	NOUN
ajst-16292	102	26	on	on	ADP
ajst-16292	102	27	bigdata	bigdata	PROPN
ajst-16292	102	28	blockchain	blockchain	PROPN
ajst-16292	102	29	and	and	CCONJ
ajst-16292	102	30	economy	economy	NOUN
ajst-16292	102	31	management	management	NOUN
ajst-16292	102	32	,	,	PUNCT
ajst-16292	102	33	icbbem	icbbem	NOUN
ajst-16292	102	34	2023	2023	NUM
ajst-16292	102	35	,	,	PUNCT
ajst-16292	102	36	may	may	PROPN
ajst-16292	102	37	19–21	19–21	NUM
ajst-16292	102	38	,	,	PUNCT
ajst-16292	102	39	2023	2023	NUM
ajst-16292	102	40	,	,	PUNCT
ajst-16292	102	41	hangzhou	hangzhou	PROPN
ajst-16292	102	42	,	,	PUNCT
ajst-16292	102	43	china	china	PROPN
ajst-16292	102	44	,	,	PUNCT
ajst-16292	102	45	2023	2023	NUM
ajst-16292	102	46	.	.	PUNCT
ajst-16292	103	1	[	[	X
ajst-16292	103	2	6	6	NUM
ajst-16292	103	3	]	]	PUNCT
ajst-16292	103	4	r.	r.	PROPN
ajst-16292	103	5	tao	tao	PROPN
ajst-16292	103	6	,	,	PUNCT
ajst-16292	103	7	p.	p.	PROPN
ajst-16292	103	8	zhao	zhao	PROPN
ajst-16292	103	9	,	,	PUNCT
ajst-16292	103	10	j.	j.	PROPN
ajst-16292	103	11	wu	wu	PROPN
ajst-16292	103	12	,	,	PUNCT
ajst-16292	103	13	n.f	n.f	PROPN
ajst-16292	103	14	.	.	PROPN
ajst-16292	103	15	martin	martin	PROPN
ajst-16292	103	16	,	,	PUNCT
ajst-16292	103	17	m.t	m.t	PROPN
ajst-16292	103	18	.	.	PROPN
ajst-16292	103	19	harrison	harrison	PROPN
ajst-16292	103	20	,	,	PUNCT
ajst-16292	103	21	c.	c.	PROPN
ajst-16292	103	22	ferreira	ferreira	PROPN
ajst-16292	103	23	,	,	PUNCT
ajst-16292	103	24	z.	z.	PROPN
ajst-16292	103	25	kalantari	kalantari	PROPN
ajst-16292	103	26	,	,	PUNCT
ajst-16292	103	27	n.	n.	PROPN
ajst-16292	103	28	hovakimyan	hovakimyan	PROPN
ajst-16292	103	29	,	,	PUNCT
ajst-16292	103	30	optimizing	optimize	VERB
ajst-16292	103	31	crop	crop	NOUN
ajst-16292	103	32	management	management	NOUN
ajst-16292	103	33	with	with	ADP
ajst-16292	103	34	reinforcement	reinforcement	NOUN
ajst-16292	103	35	learning	learning	NOUN
ajst-16292	103	36	and	and	CCONJ
ajst-16292	103	37	imitation	imitation	NOUN
ajst-16292	103	38	learning	learning	NOUN
ajst-16292	103	39	,	,	PUNCT
ajst-16292	103	40	arxiv	arxiv	PROPN
ajst-16292	103	41	preprint	preprint	NOUN
ajst-16292	103	42	arxiv:2209.09991	arxiv:2209.09991	NOUN
ajst-16292	103	43	(	(	PUNCT
ajst-16292	103	44	2022	2022	NUM
ajst-16292	103	45	)	)	PUNCT
ajst-16292	103	46	.	.	PUNCT
ajst-16292	104	1	[	[	X
ajst-16292	104	2	7	7	X
ajst-16292	104	3	]	]	PUNCT
ajst-16292	104	4	j.	j.	PROPN
ajst-16292	104	5	huo	huo	PROPN
ajst-16292	104	6	,	,	PUNCT
ajst-16292	104	7	y.	y.	PROPN
ajst-16292	104	8	wang	wang	PROPN
ajst-16292	104	9	,	,	PUNCT
ajst-16292	104	10	n.	n.	PROPN
ajst-16292	104	11	wang	wang	PROPN
ajst-16292	104	12	,	,	PUNCT
ajst-16292	104	13	w.	w.	PROPN
ajst-16292	104	14	gao	gao	PROPN
ajst-16292	104	15	,	,	PUNCT
ajst-16292	104	16	j.	j.	PROPN
ajst-16292	104	17	zhou	zhou	PROPN
ajst-16292	104	18	,	,	PUNCT
ajst-16292	104	19	y.	y.	PROPN
ajst-16292	104	20	cao	cao	PROPN
ajst-16292	104	21	,	,	PUNCT
ajst-16292	104	22	datadriven	datadriven	ADJ
ajst-16292	104	23	design	design	NOUN
ajst-16292	104	24	and	and	CCONJ
ajst-16292	104	25	optimization	optimization	NOUN
ajst-16292	104	26	of	of	ADP
ajst-16292	104	27	ultra	ultra	ADJ
ajst-16292	104	28	-	-	ADJ
ajst-16292	104	29	tunable	tunable	ADJ
ajst-16292	104	30	acoustic	acoustic	ADJ
ajst-16292	104	31	49	49	NUM
ajst-16292	104	32	metamaterials	metamaterial	NOUN
ajst-16292	104	33	,	,	PUNCT
ajst-16292	104	34	smart	smart	ADJ
ajst-16292	104	35	materials	material	NOUN
ajst-16292	104	36	and	and	CCONJ
ajst-16292	104	37	structures	structure	NOUN
ajst-16292	104	38	32(5	32(5	NOUN
ajst-16292	104	39	)	)	PUNCT
ajst-16292	104	40	(	(	PUNCT
ajst-16292	104	41	2023	2023	NUM
ajst-16292	104	42	)	)	PUNCT
ajst-16292	104	43	05lt01	05lt01	NOUN
ajst-16292	104	44	.	.	PUNCT
ajst-16292	105	1	[	[	X
ajst-16292	105	2	8	8	NUM
ajst-16292	105	3	]	]	X
ajst-16292	105	4	y.	y.	PROPN
ajst-16292	105	5	wang	wang	PROPN
ajst-16292	105	6	,	,	PUNCT
ajst-16292	105	7	j.	j.	PROPN
ajst-16292	105	8	wu	wu	PROPN
ajst-16292	105	9	,	,	PUNCT
ajst-16292	105	10	n.	n.	PROPN
ajst-16292	105	11	hovakimyan	hovakimyan	PROPN
ajst-16292	105	12	,	,	PUNCT
ajst-16292	105	13	r.	r.	PROPN
ajst-16292	105	14	sun	sun	PROPN
ajst-16292	105	15	,	,	PUNCT
ajst-16292	105	16	double	double	ADJ
ajst-16292	105	17	dynamic	dynamic	ADJ
ajst-16292	105	18	sparse	sparse	ADJ
ajst-16292	105	19	training	training	NOUN
ajst-16292	105	20	for	for	ADP
ajst-16292	105	21	gans	gan	NOUN
ajst-16292	105	22	,	,	PUNCT
ajst-16292	105	23	arxiv	arxiv	PROPN
ajst-16292	105	24	preprint	preprint	VERB
ajst-16292	105	25	arxiv:2302.14670	arxiv:2302.14670	NOUN
ajst-16292	105	26	(	(	PUNCT
ajst-16292	105	27	2023	2023	NUM
ajst-16292	105	28	)	)	PUNCT
ajst-16292	105	29	.	.	PUNCT
ajst-16292	106	1	[	[	X
ajst-16292	106	2	9	9	NUM
ajst-16292	106	3	]	]	X
ajst-16292	106	4	y.	y.	PROPN
ajst-16292	106	5	tang	tang	PROPN
ajst-16292	106	6	,	,	PUNCT
ajst-16292	106	7	k.	k.	PROPN
ajst-16292	106	8	yoshihiro	yoshihiro	PROPN
ajst-16292	106	9	,	,	PUNCT
ajst-16292	106	10	a.	a.	NOUN
ajst-16292	106	11	tohru	tohru	PROPN
ajst-16292	106	12	,	,	PUNCT
ajst-16292	106	13	b.	b.	PROPN
ajst-16292	106	14	danushka	danushka	PROPN
ajst-16292	106	15	,	,	PUNCT
ajst-16292	106	16	bs-1	bs-1	NOUN
ajst-16292	106	17	-	-	PUNCT
ajst-16292	106	18	12	12	NUM
ajst-16292	106	19	analyzing	analyzing	NOUN
ajst-16292	106	20	patterns	pattern	NOUN
ajst-16292	106	21	from	from	ADP
ajst-16292	106	22	twitter	twitter	NOUN
ajst-16292	106	23	happiness	happiness	NOUN
ajst-16292	106	24	referring	refer	VERB
ajst-16292	106	25	stock	stock	NOUN
ajst-16292	106	26	market	market	NOUN
ajst-16292	106	27	and	and	CCONJ
ajst-16292	106	28	american	american	ADJ
ajst-16292	106	29	unemployment	unemployment	NOUN
ajst-16292	106	30	rate	rate	NOUN
ajst-16292	106	31	announcement	announcement	NOUN
ajst-16292	106	32	,	,	PUNCT
ajst-16292	106	33	proceedings	proceeding	NOUN
ajst-16292	106	34	of	of	ADP
ajst-16292	106	35	the	the	DET
ajst-16292	106	36	electronic	electronic	ADJ
ajst-16292	106	37	information	information	NOUN
ajst-16292	106	38	and	and	CCONJ
ajst-16292	106	39	communication	communication	NOUN
ajst-16292	106	40	society	society	NOUN
ajst-16292	106	41	comprehensive	comprehensive	ADJ
ajst-16292	106	42	system	system	NOUN
ajst-16292	106	43	conference	conference	NOUN
ajst-16292	106	44	2013(2	2013(2	NUM
ajst-16292	106	45	)	)	PUNCT
ajst-16292	106	46	(	(	PUNCT
ajst-16292	106	47	2013	2013	NUM
ajst-16292	106	48	)	)	PUNCT
ajst-16292	106	49	"	"	PUNCT
ajst-16292	106	50	s-23"-	s-23"-	ADJ
ajst-16292	106	51	"	"	PUNCT
ajst-16292	106	52	s-24	s-24	PROPN
ajst-16292	106	53	"	"	PUNCT
ajst-16292	106	54	.	.	PUNCT
ajst-16292	107	1	[	[	X
ajst-16292	107	2	10	10	NUM
ajst-16292	107	3	]	]	PUNCT
ajst-16292	107	4	j.	j.	PROPN
ajst-16292	107	5	wu	wu	PROPN
ajst-16292	107	6	,	,	PUNCT
ajst-16292	107	7	r.	r.	PROPN
ajst-16292	107	8	tao	tao	PROPN
ajst-16292	107	9	,	,	PUNCT
ajst-16292	107	10	p.	p.	PROPN
ajst-16292	107	11	zhao	zhao	PROPN
ajst-16292	107	12	,	,	PUNCT
ajst-16292	107	13	n.f	n.f	PROPN
ajst-16292	107	14	.	.	PROPN
ajst-16292	107	15	martin	martin	PROPN
ajst-16292	107	16	,	,	PUNCT
ajst-16292	107	17	n.	n.	PROPN
ajst-16292	107	18	hovakimyan	hovakimyan	PROPN
ajst-16292	107	19	,	,	PUNCT
ajst-16292	107	20	optimizing	optimize	VERB
ajst-16292	107	21	nitrogen	nitrogen	NOUN
ajst-16292	107	22	management	management	NOUN
ajst-16292	107	23	with	with	ADP
ajst-16292	107	24	deep	deep	ADJ
ajst-16292	107	25	reinforcement	reinforcement	NOUN
ajst-16292	107	26	learning	learning	NOUN
ajst-16292	107	27	and	and	CCONJ
ajst-16292	107	28	crop	crop	NOUN
ajst-16292	107	29	simulations	simulation	NOUN
ajst-16292	107	30	,	,	PUNCT
ajst-16292	107	31	proceedings	proceeding	NOUN
ajst-16292	107	32	of	of	ADP
ajst-16292	107	33	the	the	DET
ajst-16292	107	34	ieee	ieee	NOUN
ajst-16292	107	35	/	/	SYM
ajst-16292	107	36	cvf	cvf	NOUN
ajst-16292	107	37	conference	conference	NOUN
ajst-16292	107	38	on	on	ADP
ajst-16292	107	39	computer	computer	NOUN
ajst-16292	107	40	vision	vision	NOUN
ajst-16292	107	41	and	and	CCONJ
ajst-16292	107	42	pattern	pattern	NOUN
ajst-16292	107	43	recognition	recognition	NOUN
ajst-16292	107	44	,	,	PUNCT
ajst-16292	107	45	2022	2022	NUM
ajst-16292	107	46	,	,	PUNCT
ajst-16292	107	47	pp	pp	ADJ
ajst-16292	107	48	.	.	PUNCT
ajst-16292	108	1	1712	1712	NUM
ajst-16292	108	2	-	-	SYM
ajst-16292	108	3	1720	1720	NUM
ajst-16292	108	4	.	.	PUNCT
ajst-16292	109	1	[	[	X
ajst-16292	109	2	11	11	NUM
ajst-16292	109	3	]	]	X
ajst-16292	109	4	y.	y.	PROPN
ajst-16292	109	5	tang	tang	PROPN
ajst-16292	109	6	,	,	PUNCT
ajst-16292	109	7	s.	s.	PROPN
ajst-16292	109	8	song	song	PROPN
ajst-16292	109	9	,	,	PUNCT
ajst-16292	109	10	s.	s.	PROPN
ajst-16292	109	11	gui	gui	PROPN
ajst-16292	109	12	,	,	PUNCT
ajst-16292	109	13	w.	w.	PROPN
ajst-16292	109	14	chao	chao	PROPN
ajst-16292	109	15	,	,	PUNCT
ajst-16292	109	16	c.	c.	PROPN
ajst-16292	109	17	cheng	cheng	PROPN
ajst-16292	109	18	,	,	PUNCT
ajst-16292	109	19	r.	r.	PROPN
ajst-16292	109	20	qin	qin	PROPN
ajst-16292	109	21	,	,	PUNCT
ajst-16292	109	22	active	active	ADJ
ajst-16292	109	23	and	and	CCONJ
ajst-16292	109	24	low	low	ADJ
ajst-16292	109	25	-	-	PUNCT
ajst-16292	109	26	cost	cost	NOUN
ajst-16292	109	27	hyperspectral	hyperspectral	ADJ
ajst-16292	109	28	imaging	imaging	NOUN
ajst-16292	109	29	for	for	ADP
ajst-16292	109	30	the	the	DET
ajst-16292	109	31	spectral	spectral	ADJ
ajst-16292	109	32	analysis	analysis	NOUN
ajst-16292	109	33	of	of	ADP
ajst-16292	109	34	a	a	DET
ajst-16292	109	35	low	low	ADJ
ajst-16292	109	36	-	-	PUNCT
ajst-16292	109	37	light	light	NOUN
ajst-16292	109	38	environment	environment	NOUN
ajst-16292	109	39	,	,	PUNCT
ajst-16292	109	40	sensors	sensor	NOUN
ajst-16292	109	41	23(3	23(3	NUM
ajst-16292	109	42	)	)	PUNCT
ajst-16292	109	43	(	(	PUNCT
ajst-16292	109	44	2023	2023	NUM
ajst-16292	109	45	)	)	PUNCT
ajst-16292	109	46	1437	1437	NUM
ajst-16292	109	47	.	.	PUNCT
ajst-16292	110	1	[	[	X
ajst-16292	110	2	12	12	NUM
ajst-16292	110	3	]	]	X
ajst-16292	110	4	d.	d.	PROPN
ajst-16292	110	5	huang	huang	PROPN
ajst-16292	110	6	,	,	PUNCT
ajst-16292	110	7	y.	y.	PROPN
ajst-16292	110	8	tang	tang	PROPN
ajst-16292	110	9	,	,	PUNCT
ajst-16292	110	10	r.	r.	PROPN
ajst-16292	110	11	qin	qin	PROPN
ajst-16292	110	12	,	,	PUNCT
ajst-16292	110	13	an	an	DET
ajst-16292	110	14	evaluation	evaluation	NOUN
ajst-16292	110	15	of	of	ADP
ajst-16292	110	16	planetscope	planetscope	NOUN
ajst-16292	110	17	images	image	NOUN
ajst-16292	110	18	for	for	ADP
ajst-16292	110	19	3d	3d	NOUN
ajst-16292	110	20	reconstruction	reconstruction	NOUN
ajst-16292	110	21	and	and	CCONJ
ajst-16292	110	22	change	change	NOUN
ajst-16292	110	23	detection	detection	NOUN
ajst-16292	110	24	–	–	PUNCT
ajst-16292	110	25	experimental	experimental	ADJ
ajst-16292	110	26	validations	validation	NOUN
ajst-16292	110	27	with	with	ADP
ajst-16292	110	28	case	case	NOUN
ajst-16292	110	29	studies	study	NOUN
ajst-16292	110	30	,	,	PUNCT
ajst-16292	110	31	giscience	giscience	NOUN
ajst-16292	110	32	&	&	CCONJ
ajst-16292	110	33	remote	remote	ADJ
ajst-16292	110	34	sensing	sense	VERB
ajst-16292	110	35	59(1	59(1	NUM
ajst-16292	110	36	)	)	PUNCT
ajst-16292	110	37	(	(	PUNCT
ajst-16292	110	38	2022	2022	NUM
ajst-16292	110	39	)	)	PUNCT
ajst-16292	110	40	744	744	NUM
ajst-16292	110	41	-	-	SYM
ajst-16292	110	42	761	761	NUM
ajst-16292	110	43	.	.	PUNCT
ajst-16292	111	1	[	[	X
ajst-16292	111	2	13	13	NUM
ajst-16292	111	3	]	]	X
ajst-16292	111	4	s.	s.	PROPN
ajst-16292	111	5	gui	gui	PROPN
ajst-16292	111	6	,	,	PUNCT
ajst-16292	111	7	r.	r.	PROPN
ajst-16292	111	8	qin	qin	PROPN
ajst-16292	111	9	,	,	PUNCT
ajst-16292	111	10	y.	y.	PROPN
ajst-16292	111	11	tang	tang	PROPN
ajst-16292	111	12	,	,	PUNCT
ajst-16292	111	13	sat2lod2	sat2lod2	PROPN
ajst-16292	111	14	:	:	PUNCT
ajst-16292	111	15	a	a	DET
ajst-16292	111	16	software	software	NOUN
ajst-16292	111	17	for	for	ADP
ajst-16292	111	18	automated	automate	VERB
ajst-16292	111	19	lod-2	lod-2	NUM
ajst-16292	111	20	modeling	modeling	NOUN
ajst-16292	111	21	from	from	ADP
ajst-16292	111	22	satellite	satellite	NOUN
ajst-16292	111	23	-	-	PUNCT
ajst-16292	111	24	derived	derive	VERB
ajst-16292	111	25	orthophoto	orthophoto	NOUN
ajst-16292	111	26	and	and	CCONJ
ajst-16292	111	27	digital	digital	ADJ
ajst-16292	111	28	surface	surface	NOUN
ajst-16292	111	29	model	model	NOUN
ajst-16292	111	30	,	,	PUNCT
ajst-16292	111	31	arxiv	arxiv	PROPN
ajst-16292	111	32	preprint	preprint	NOUN
ajst-16292	111	33	arxiv:2204.04139	arxiv:2204.04139	NOUN
ajst-16292	111	34	(	(	PUNCT
ajst-16292	111	35	2022	2022	NUM
ajst-16292	111	36	)	)	PUNCT
ajst-16292	111	37	.	.	PUNCT
ajst-16292	112	1	[	[	X
ajst-16292	112	2	14	14	NUM
ajst-16292	112	3	]	]	PUNCT
ajst-16292	112	4	x.	x.	NOUN
ajst-16292	112	5	lai	lai	PROPN
ajst-16292	112	6	,	,	PUNCT
ajst-16292	112	7	y.	y.	PROPN
ajst-16292	112	8	tang	tang	PROPN
ajst-16292	112	9	,	,	PUNCT
ajst-16292	112	10	l.	l.	PROPN
ajst-16292	112	11	li	li	PROPN
ajst-16292	112	12	,	,	PUNCT
ajst-16292	112	13	p.	p.	PROPN
ajst-16292	112	14	chan	chan	PROPN
ajst-16292	112	15	,	,	PUNCT
ajst-16292	112	16	q.	q.	PROPN
ajst-16292	112	17	zeng	zeng	PROPN
ajst-16292	112	18	,	,	PUNCT
ajst-16292	112	19	study	study	VERB
ajst-16292	112	20	on	on	ADP
ajst-16292	112	21	microclimate	microclimate	NOUN
ajst-16292	112	22	observation	observation	NOUN
ajst-16292	112	23	network	network	NOUN
ajst-16292	112	24	for	for	ADP
ajst-16292	112	25	urban	urban	ADJ
ajst-16292	112	26	unit	unit	NOUN
ajst-16292	112	27	:	:	PUNCT
ajst-16292	112	28	a	a	DET
ajst-16292	112	29	case	case	NOUN
ajst-16292	112	30	study	study	NOUN
ajst-16292	112	31	in	in	ADP
ajst-16292	112	32	a	a	DET
ajst-16292	112	33	campus	campus	NOUN
ajst-16292	112	34	of	of	ADP
ajst-16292	112	35	shenzhen	shenzhen	PROPN
ajst-16292	112	36	,	,	PUNCT
ajst-16292	112	37	china	china	PROPN
ajst-16292	112	38	,	,	PUNCT
ajst-16292	112	39	physics	physics	NOUN
ajst-16292	112	40	and	and	CCONJ
ajst-16292	112	41	chemistry	chemistry	NOUN
ajst-16292	112	42	of	of	ADP
ajst-16292	112	43	the	the	DET
ajst-16292	112	44	earth	earth	NOUN
ajst-16292	112	45	,	,	PUNCT
ajst-16292	112	46	parts	part	VERB
ajst-16292	112	47	a	a	PRON
ajst-16292	112	48	/	/	SYM
ajst-16292	112	49	b	b	NOUN
ajst-16292	112	50	/	/	SYM
ajst-16292	112	51	c	c	NOUN
ajst-16292	112	52	110	110	NUM
ajst-16292	112	53	(	(	PUNCT
ajst-16292	112	54	2019	2019	NUM
ajst-16292	112	55	)	)	PUNCT
ajst-16292	112	56	117	117	NUM
ajst-16292	112	57	-	-	SYM
ajst-16292	112	58	124	124	NUM
ajst-16292	112	59	.	.	PUNCT
ajst-16292	113	1	[	[	X
ajst-16292	113	2	15	15	NUM
ajst-16292	113	3	]	]	X
ajst-16292	113	4	j.	j.	PROPN
ajst-16292	113	5	blechschmidt	blechschmidt	PROPN
ajst-16292	113	6	,	,	PUNCT
ajst-16292	113	7	o.g	o.g	PROPN
ajst-16292	113	8	.	.	PROPN
ajst-16292	113	9	ernst	ernst	PROPN
ajst-16292	113	10	,	,	PUNCT
ajst-16292	113	11	three	three	NUM
ajst-16292	113	12	ways	way	NOUN
ajst-16292	113	13	to	to	PART
ajst-16292	113	14	solve	solve	VERB
ajst-16292	113	15	partial	partial	ADJ
ajst-16292	113	16	differential	differential	ADJ
ajst-16292	113	17	equations	equation	NOUN
ajst-16292	113	18	with	with	ADP
ajst-16292	113	19	neural	neural	ADJ
ajst-16292	113	20	networks	network	NOUN
ajst-16292	113	21	—	—	PUNCT
ajst-16292	113	22	a	a	DET
ajst-16292	113	23	review	review	NOUN
ajst-16292	113	24	,	,	PUNCT
ajst-16292	113	25	gamm‐mitteilungen	gamm‐mitteilungen	NOUN
ajst-16292	113	26	44(2	44(2	NOUN
ajst-16292	113	27	)	)	PUNCT
ajst-16292	113	28	(	(	PUNCT
ajst-16292	113	29	2021	2021	NUM
ajst-16292	113	30	)	)	PUNCT
ajst-16292	113	31	e202100006	e202100006	PROPN
ajst-16292	113	32	.	.	PUNCT
ajst-16292	114	1	[	[	X
ajst-16292	114	2	16	16	NUM
ajst-16292	114	3	]	]	PUNCT
ajst-16292	114	4	j.	j.	PROPN
ajst-16292	114	5	huo	huo	PROPN
ajst-16292	114	6	,	,	PUNCT
ajst-16292	114	7	y.	y.	PROPN
ajst-16292	114	8	wang	wang	PROPN
ajst-16292	114	9	,	,	PUNCT
ajst-16292	114	10	y.	y.	PROPN
ajst-16292	114	11	cao	cao	PROPN
ajst-16292	114	12	,	,	PUNCT
ajst-16292	114	13	3d	3d	PROPN
ajst-16292	114	14	computational	computational	ADJ
ajst-16292	114	15	study	study	NOUN
ajst-16292	114	16	of	of	ADP
ajst-16292	114	17	arc	arc	NOUN
ajst-16292	114	18	splitting	splitting	NOUN
ajst-16292	114	19	during	during	ADP
ajst-16292	114	20	power	power	NOUN
ajst-16292	114	21	interruption	interruption	NOUN
ajst-16292	114	22	:	:	PUNCT
ajst-16292	114	23	the	the	DET
ajst-16292	114	24	influence	influence	NOUN
ajst-16292	114	25	of	of	ADP
ajst-16292	114	26	metal	metal	NOUN
ajst-16292	114	27	vapor	vapor	NOUN
ajst-16292	114	28	enhanced	enhance	VERB
ajst-16292	114	29	radiation	radiation	NOUN
ajst-16292	114	30	on	on	ADP
ajst-16292	114	31	arc	arc	NOUN
ajst-16292	114	32	dynamics	dynamic	NOUN
ajst-16292	114	33	,	,	PUNCT
ajst-16292	114	34	journal	journal	NOUN
ajst-16292	114	35	of	of	ADP
ajst-16292	114	36	physics	physics	PROPN
ajst-16292	115	1	d	d	PROPN
ajst-16292	115	2	:	:	PUNCT
ajst-16292	115	3	applied	apply	VERB
ajst-16292	115	4	physics	physics	NOUN
ajst-16292	115	5	54(8	54(8	NUM
ajst-16292	115	6	)	)	PUNCT
ajst-16292	115	7	(	(	PUNCT
ajst-16292	115	8	2020	2020	NUM
ajst-16292	115	9	)	)	PUNCT
ajst-16292	115	10	085502	085502	NUM
ajst-16292	115	11	.	.	PUNCT
ajst-16292	116	1	[	[	X
ajst-16292	116	2	17	17	NUM
ajst-16292	116	3	]	]	X
ajst-16292	116	4	i.e.	i.e.	X
ajst-16292	116	5	lagaris	lagaris	PROPN
ajst-16292	116	6	,	,	PUNCT
ajst-16292	116	7	a.	a.	PROPN
ajst-16292	116	8	likas	likas	PROPN
ajst-16292	116	9	,	,	PUNCT
ajst-16292	116	10	d.i	d.i	PROPN
ajst-16292	116	11	.	.	PROPN
ajst-16292	116	12	fotiadis	fotiadis	PROPN
ajst-16292	116	13	,	,	PUNCT
ajst-16292	116	14	artificial	artificial	ADJ
ajst-16292	116	15	neural	neural	ADJ
ajst-16292	116	16	networks	network	NOUN
ajst-16292	116	17	for	for	ADP
ajst-16292	116	18	solving	solve	VERB
ajst-16292	116	19	ordinary	ordinary	ADJ
ajst-16292	116	20	and	and	CCONJ
ajst-16292	116	21	partial	partial	ADJ
ajst-16292	116	22	differential	differential	NOUN
ajst-16292	116	23	equations	equation	NOUN
ajst-16292	116	24	,	,	PUNCT
ajst-16292	116	25	ieee	ieee	NOUN
ajst-16292	116	26	transactions	transaction	NOUN
ajst-16292	116	27	on	on	ADP
ajst-16292	116	28	neural	neural	ADJ
ajst-16292	116	29	networks	network	NOUN
ajst-16292	116	30	9(5	9(5	NUM
ajst-16292	116	31	)	)	PUNCT
ajst-16292	116	32	(	(	PUNCT
ajst-16292	116	33	1998	1998	NUM
ajst-16292	116	34	)	)	PUNCT
ajst-16292	116	35	987	987	NUM
ajst-16292	116	36	-	-	SYM
ajst-16292	116	37	1000	1000	NUM
ajst-16292	116	38	.	.	PUNCT
ajst-16292	117	1	[	[	X
ajst-16292	117	2	18	18	NUM
ajst-16292	117	3	]	]	PUNCT
ajst-16292	117	4	j.	j.	PROPN
ajst-16292	117	5	berg	berg	PROPN
ajst-16292	117	6	,	,	PUNCT
ajst-16292	117	7	k.	k.	PROPN
ajst-16292	117	8	nyström	nyström	PROPN
ajst-16292	117	9	,	,	PUNCT
ajst-16292	117	10	a	a	DET
ajst-16292	117	11	unified	unified	ADJ
ajst-16292	117	12	deep	deep	ADJ
ajst-16292	117	13	artificial	artificial	ADJ
ajst-16292	117	14	neural	neural	ADJ
ajst-16292	117	15	network	network	NOUN
ajst-16292	117	16	approach	approach	NOUN
ajst-16292	117	17	to	to	ADP
ajst-16292	117	18	partial	partial	ADJ
ajst-16292	117	19	differential	differential	ADJ
ajst-16292	117	20	equations	equation	NOUN
ajst-16292	117	21	in	in	ADP
ajst-16292	117	22	complex	complex	ADJ
ajst-16292	117	23	geometries	geometry	NOUN
ajst-16292	117	24	,	,	PUNCT
ajst-16292	117	25	neurocomputing	neurocompute	VERB
ajst-16292	117	26	317	317	NUM
ajst-16292	117	27	(	(	PUNCT
ajst-16292	117	28	2018	2018	NUM
ajst-16292	117	29	)	)	PUNCT
ajst-16292	117	30	28	28	NUM
ajst-16292	117	31	-	-	SYM
ajst-16292	117	32	41	41	NUM
ajst-16292	117	33	.	.	PUNCT
ajst-16292	118	1	[	[	X
ajst-16292	118	2	19	19	NUM
ajst-16292	118	3	]	]	PUNCT
ajst-16292	118	4	j.	j.	PROPN
ajst-16292	118	5	huo	huo	PROPN
ajst-16292	118	6	,	,	PUNCT
ajst-16292	118	7	y.	y.	PROPN
ajst-16292	118	8	cao	cao	PROPN
ajst-16292	118	9	,	,	PUNCT
ajst-16292	118	10	computational	computational	ADJ
ajst-16292	118	11	study	study	NOUN
ajst-16292	118	12	of	of	ADP
ajst-16292	118	13	the	the	DET
ajst-16292	118	14	arc	arc	NOUN
ajst-16292	118	15	splitting	splitting	NOUN
ajst-16292	118	16	in	in	ADP
ajst-16292	118	17	power	power	NOUN
ajst-16292	118	18	interruption	interruption	NOUN
ajst-16292	118	19	:	:	PUNCT
ajst-16292	118	20	the	the	DET
ajst-16292	118	21	effect	effect	NOUN
ajst-16292	118	22	of	of	ADP
ajst-16292	118	23	the	the	DET
ajst-16292	118	24	metallic	metallic	ADJ
ajst-16292	118	25	vapor	vapor	NOUN
ajst-16292	118	26	on	on	ADP
ajst-16292	118	27	arc	arc	NOUN
ajst-16292	118	28	dynamics	dynamic	NOUN
ajst-16292	118	29	,	,	PUNCT
ajst-16292	118	30	2020	2020	NUM
ajst-16292	118	31	ieee	ieee	NOUN
ajst-16292	118	32	conference	conference	NOUN
ajst-16292	118	33	on	on	ADP
ajst-16292	118	34	electrical	electrical	ADJ
ajst-16292	118	35	insulation	insulation	NOUN
ajst-16292	118	36	and	and	CCONJ
ajst-16292	118	37	dielectric	dielectric	ADJ
ajst-16292	118	38	phenomena	phenomenon	NOUN
ajst-16292	118	39	(	(	PUNCT
ajst-16292	118	40	ceidp	ceidp	PROPN
ajst-16292	118	41	)	)	PUNCT
ajst-16292	118	42	,	,	PUNCT
ajst-16292	118	43	ieee	ieee	NOUN
ajst-16292	118	44	,	,	PUNCT
ajst-16292	118	45	2020	2020	NUM
ajst-16292	118	46	,	,	PUNCT
ajst-16292	118	47	pp	pp	ADV
ajst-16292	118	48	.	.	PUNCT
ajst-16292	119	1	415	415	NUM
ajst-16292	119	2	-	-	SYM
ajst-16292	119	3	418	418	NUM
ajst-16292	119	4	.	.	PUNCT
ajst-16292	120	1	[	[	X
ajst-16292	120	2	20	20	NUM
ajst-16292	120	3	]	]	X
ajst-16292	120	4	s.w	s.w	PROPN
ajst-16292	120	5	.	.	PROPN
ajst-16292	120	6	kim	kim	PROPN
ajst-16292	120	7	,	,	PUNCT
ajst-16292	120	8	i.	i.	PROPN
ajst-16292	120	9	kim	kim	PROPN
ajst-16292	120	10	,	,	PUNCT
ajst-16292	120	11	j.	j.	PROPN
ajst-16292	120	12	lee	lee	PROPN
ajst-16292	120	13	,	,	PUNCT
ajst-16292	120	14	s.	s.	PROPN
ajst-16292	120	15	lee	lee	PROPN
ajst-16292	120	16	,	,	PUNCT
ajst-16292	120	17	knowledge	knowledge	NOUN
ajst-16292	120	18	integration	integration	NOUN
ajst-16292	120	19	into	into	ADP
ajst-16292	120	20	deep	deep	ADJ
ajst-16292	120	21	learning	learning	NOUN
ajst-16292	120	22	in	in	ADP
ajst-16292	120	23	dynamical	dynamical	ADJ
ajst-16292	120	24	systems	system	NOUN
ajst-16292	120	25	:	:	PUNCT
ajst-16292	120	26	an	an	DET
ajst-16292	120	27	overview	overview	NOUN
ajst-16292	120	28	and	and	CCONJ
ajst-16292	120	29	taxonomy	taxonomy	NOUN
ajst-16292	120	30	,	,	PUNCT
ajst-16292	120	31	journal	journal	NOUN
ajst-16292	120	32	of	of	ADP
ajst-16292	120	33	mechanical	mechanical	ADJ
ajst-16292	120	34	science	science	NOUN
ajst-16292	120	35	and	and	CCONJ
ajst-16292	120	36	technology	technology	NOUN
ajst-16292	120	37	35	35	NUM
ajst-16292	120	38	(	(	PUNCT
ajst-16292	120	39	2021	2021	NUM
ajst-16292	120	40	)	)	PUNCT
ajst-16292	120	41	1331	1331	NUM
ajst-16292	120	42	-	-	SYM
ajst-16292	120	43	1342	1342	NUM
ajst-16292	120	44	.	.	PUNCT
ajst-16292	121	1	[	[	X
ajst-16292	121	2	21	21	NUM
ajst-16292	121	3	]	]	X
ajst-16292	121	4	h.	h.	PROPN
ajst-16292	121	5	owhadi	owhadi	PROPN
ajst-16292	121	6	,	,	PUNCT
ajst-16292	121	7	bayesian	bayesian	NOUN
ajst-16292	121	8	numerical	numerical	ADJ
ajst-16292	121	9	homogenization	homogenization	NOUN
ajst-16292	121	10	,	,	PUNCT
ajst-16292	121	11	multiscale	multiscale	NOUN
ajst-16292	121	12	modeling	modeling	NOUN
ajst-16292	121	13	&	&	CCONJ
ajst-16292	121	14	simulation	simulation	PROPN
ajst-16292	121	15	13(3	13(3	NUM
ajst-16292	121	16	)	)	PUNCT
ajst-16292	121	17	(	(	PUNCT
ajst-16292	121	18	2015	2015	NUM
ajst-16292	121	19	)	)	PUNCT
ajst-16292	121	20	812	812	NUM
ajst-16292	121	21	-	-	PUNCT
ajst-16292	121	22	828	828	NUM
ajst-16292	121	23	.	.	PUNCT
ajst-16292	122	1	[	[	X
ajst-16292	122	2	22	22	NUM
ajst-16292	122	3	]	]	PUNCT
ajst-16292	122	4	m.	m.	NOUN
ajst-16292	122	5	raissi	raissi	NOUN
ajst-16292	122	6	,	,	PUNCT
ajst-16292	122	7	g.e	g.e	PROPN
ajst-16292	122	8	.	.	PROPN
ajst-16292	122	9	karniadakis	karniadakis	PROPN
ajst-16292	122	10	,	,	PUNCT
ajst-16292	122	11	hidden	hide	VERB
ajst-16292	122	12	physics	physics	NOUN
ajst-16292	122	13	models	model	NOUN
ajst-16292	122	14	:	:	PUNCT
ajst-16292	122	15	machine	machine	NOUN
ajst-16292	122	16	learning	learning	NOUN
ajst-16292	122	17	of	of	ADP
ajst-16292	122	18	nonlinear	nonlinear	ADJ
ajst-16292	122	19	partial	partial	ADJ
ajst-16292	122	20	differential	differential	NOUN
ajst-16292	122	21	equations	equation	NOUN
ajst-16292	122	22	,	,	PUNCT
ajst-16292	122	23	journal	journal	NOUN
ajst-16292	122	24	of	of	ADP
ajst-16292	122	25	computational	computational	ADJ
ajst-16292	122	26	physics	physic	NOUN
ajst-16292	122	27	357	357	NUM
ajst-16292	122	28	(	(	PUNCT
ajst-16292	122	29	2018	2018	NUM
ajst-16292	122	30	)	)	PUNCT
ajst-16292	122	31	125	125	NUM
ajst-16292	122	32	-	-	SYM
ajst-16292	122	33	141	141	NUM
ajst-16292	122	34	.	.	PUNCT
ajst-16292	123	1	[	[	X
ajst-16292	123	2	23	23	NUM
ajst-16292	123	3	]	]	PUNCT
ajst-16292	123	4	m.	m.	NOUN
ajst-16292	123	5	raissi	raissi	NOUN
ajst-16292	123	6	,	,	PUNCT
ajst-16292	123	7	p.	p.	NOUN
ajst-16292	123	8	perdikaris	perdikaris	NOUN
ajst-16292	123	9	,	,	PUNCT
ajst-16292	123	10	g.e	g.e	PROPN
ajst-16292	123	11	.	.	PROPN
ajst-16292	123	12	karniadakis	karniadakis	PROPN
ajst-16292	123	13	,	,	PUNCT
ajst-16292	123	14	physics	physics	NOUN
ajst-16292	123	15	-	-	PUNCT
ajst-16292	123	16	informed	inform	VERB
ajst-16292	123	17	neural	neural	ADJ
ajst-16292	123	18	networks	network	NOUN
ajst-16292	123	19	:	:	PUNCT
ajst-16292	123	20	a	a	DET
ajst-16292	123	21	deep	deep	ADJ
ajst-16292	123	22	learning	learning	NOUN
ajst-16292	123	23	framework	framework	NOUN
ajst-16292	123	24	for	for	ADP
ajst-16292	123	25	solving	solve	VERB
ajst-16292	123	26	forward	forward	ADV
ajst-16292	123	27	and	and	CCONJ
ajst-16292	123	28	inverse	inverse	NOUN
ajst-16292	123	29	problems	problem	NOUN
ajst-16292	123	30	involving	involve	VERB
ajst-16292	123	31	nonlinear	nonlinear	ADJ
ajst-16292	123	32	partial	partial	ADJ
ajst-16292	123	33	differential	differential	NOUN
ajst-16292	123	34	equations	equation	NOUN
ajst-16292	123	35	,	,	PUNCT
ajst-16292	123	36	journal	journal	NOUN
ajst-16292	123	37	of	of	ADP
ajst-16292	123	38	computational	computational	ADJ
ajst-16292	123	39	physics	physic	NOUN
ajst-16292	123	40	378	378	NUM
ajst-16292	123	41	(	(	PUNCT
ajst-16292	123	42	2019	2019	NUM
ajst-16292	123	43	)	)	PUNCT
ajst-16292	123	44	686	686	NUM
ajst-16292	123	45	-	-	SYM
ajst-16292	123	46	707	707	NUM
ajst-16292	123	47	.	.	PUNCT
ajst-16292	124	1	[	[	X
ajst-16292	124	2	24	24	NUM
ajst-16292	124	3	]	]	PUNCT
ajst-16292	124	4	j.	j.	PROPN
ajst-16292	124	5	huo	huo	PROPN
ajst-16292	124	6	,	,	PUNCT
ajst-16292	124	7	j.	j.	PROPN
ajst-16292	124	8	ronzello	ronzello	PROPN
ajst-16292	124	9	,	,	PUNCT
ajst-16292	124	10	a.	a.	NOUN
ajst-16292	124	11	rontey	rontey	PROPN
ajst-16292	124	12	,	,	PUNCT
ajst-16292	124	13	y.	y.	PROPN
ajst-16292	124	14	wang	wang	PROPN
ajst-16292	124	15	,	,	PUNCT
ajst-16292	124	16	l.	l.	PROPN
ajst-16292	124	17	jacobs	jacobs	PROPN
ajst-16292	124	18	,	,	PUNCT
ajst-16292	124	19	t.	t.	PROPN
ajst-16292	124	20	sommerer	sommerer	PROPN
ajst-16292	124	21	,	,	PUNCT
ajst-16292	124	22	y.	y.	PROPN
ajst-16292	124	23	cao	cao	PROPN
ajst-16292	124	24	,	,	PUNCT
ajst-16292	124	25	development	development	NOUN
ajst-16292	124	26	of	of	ADP
ajst-16292	124	27	an	an	DET
ajst-16292	124	28	arc	arc	NOUN
ajst-16292	124	29	root	root	NOUN
ajst-16292	124	30	model	model	NOUN
ajst-16292	124	31	for	for	ADP
ajst-16292	124	32	studying	study	VERB
ajst-16292	124	33	the	the	DET
ajst-16292	124	34	electrode	electrode	NOUN
ajst-16292	124	35	vaporization	vaporization	NOUN
ajst-16292	124	36	and	and	CCONJ
ajst-16292	124	37	its	its	PRON
ajst-16292	124	38	influence	influence	NOUN
ajst-16292	124	39	on	on	ADP
ajst-16292	124	40	arc	arc	NOUN
ajst-16292	124	41	dynamics	dynamic	NOUN
ajst-16292	124	42	,	,	PUNCT
ajst-16292	124	43	aip	aip	PROPN
ajst-16292	124	44	advances	advance	VERB
ajst-16292	124	45	10(8	10(8	NUM
ajst-16292	124	46	)	)	PUNCT
ajst-16292	124	47	(	(	PUNCT
ajst-16292	124	48	2020	2020	NUM
ajst-16292	124	49	)	)	PUNCT
ajst-16292	124	50	.	.	PUNCT
ajst-16292	125	1	[	[	X
ajst-16292	125	2	25	25	NUM
ajst-16292	125	3	]	]	PUNCT
ajst-16292	125	4	j.	j.	PROPN
ajst-16292	125	5	huo	huo	PROPN
ajst-16292	125	6	,	,	PUNCT
ajst-16292	125	7	s.	s.	PROPN
ajst-16292	125	8	selezneva	selezneva	PROPN
ajst-16292	125	9	,	,	PUNCT
ajst-16292	125	10	l.	l.	PROPN
ajst-16292	125	11	jacobs	jacobs	PROPN
ajst-16292	125	12	,	,	PUNCT
ajst-16292	125	13	y.	y.	PROPN
ajst-16292	125	14	cao	cao	PROPN
ajst-16292	125	15	,	,	PUNCT
ajst-16292	125	16	study	study	NOUN
ajst-16292	125	17	of	of	ADP
ajst-16292	125	18	wall	wall	PROPN
ajst-16292	125	19	ablation	ablation	NOUN
ajst-16292	125	20	on	on	ADP
ajst-16292	125	21	low	low	ADJ
ajst-16292	125	22	-	-	PUNCT
ajst-16292	125	23	voltage	voltage	NOUN
ajst-16292	125	24	arc	arc	NOUN
ajst-16292	125	25	interruption	interruption	NOUN
ajst-16292	125	26	:	:	PUNCT
ajst-16292	125	27	the	the	DET
ajst-16292	125	28	effect	effect	NOUN
ajst-16292	125	29	of	of	ADP
ajst-16292	125	30	stefan	stefan	PROPN
ajst-16292	125	31	flow	flow	PROPN
ajst-16292	125	32	,	,	PUNCT
ajst-16292	125	33	journal	journal	NOUN
ajst-16292	125	34	of	of	ADP
ajst-16292	125	35	applied	apply	VERB
ajst-16292	125	36	physics	physics	NOUN
ajst-16292	125	37	125(21	125(21	NUM
ajst-16292	125	38	)	)	PUNCT
ajst-16292	125	39	(	(	PUNCT
ajst-16292	125	40	2019	2019	NUM
ajst-16292	125	41	)	)	PUNCT
ajst-16292	125	42	.	.	PUNCT
ajst-16292	126	1	[	[	X
ajst-16292	126	2	26	26	NUM
ajst-16292	126	3	]	]	PUNCT
ajst-16292	126	4	j.	j.	PROPN
ajst-16292	126	5	huo	huo	PROPN
ajst-16292	126	6	,	,	PUNCT
ajst-16292	126	7	s.	s.	PROPN
ajst-16292	126	8	selezneva	selezneva	PROPN
ajst-16292	126	9	,	,	PUNCT
ajst-16292	126	10	l.	l.	PROPN
ajst-16292	126	11	jacobs	jacobs	PROPN
ajst-16292	126	12	,	,	PUNCT
ajst-16292	126	13	y.	y.	PROPN
ajst-16292	126	14	cao	cao	PROPN
ajst-16292	126	15	,	,	PUNCT
ajst-16292	126	16	low	low	ADJ
ajst-16292	126	17	-	-	PUNCT
ajst-16292	126	18	voltage	voltage	NOUN
ajst-16292	126	19	arc	arc	NOUN
ajst-16292	126	20	interruption	interruption	NOUN
ajst-16292	126	21	computation	computation	NOUN
ajst-16292	126	22	:	:	PUNCT
ajst-16292	126	23	the	the	DET
ajst-16292	126	24	effect	effect	NOUN
ajst-16292	126	25	of	of	ADP
ajst-16292	126	26	stefan	stefan	PROPN
ajst-16292	126	27	flow	flow	PROPN
ajst-16292	126	28	,	,	PUNCT
ajst-16292	126	29	2018	2018	NUM
ajst-16292	126	30	ieee	ieee	NOUN
ajst-16292	126	31	conference	conference	NOUN
ajst-16292	126	32	on	on	ADP
ajst-16292	126	33	electrical	electrical	ADJ
ajst-16292	126	34	insulation	insulation	NOUN
ajst-16292	126	35	and	and	CCONJ
ajst-16292	126	36	dielectric	dielectric	ADJ
ajst-16292	126	37	phenomena	phenomenon	NOUN
ajst-16292	126	38	(	(	PUNCT
ajst-16292	126	39	ceidp	ceidp	PROPN
ajst-16292	126	40	)	)	PUNCT
ajst-16292	126	41	,	,	PUNCT
ajst-16292	126	42	ieee	ieee	NOUN
ajst-16292	126	43	,	,	PUNCT
ajst-16292	126	44	2018	2018	NUM
ajst-16292	126	45	,	,	PUNCT
ajst-16292	126	46	pp	pp	ADJ
ajst-16292	126	47	.	.	PUNCT
ajst-16292	126	48	318	318	NUM
ajst-16292	126	49	-	-	SYM
ajst-16292	126	50	321	321	NUM
ajst-16292	126	51	.	.	PUNCT
ajst-16292	127	1	[	[	X
ajst-16292	127	2	27	27	NUM
ajst-16292	127	3	]	]	PUNCT
ajst-16292	127	4	j.	j.	PROPN
ajst-16292	127	5	huo	huo	PROPN
ajst-16292	127	6	,	,	PUNCT
ajst-16292	127	7	a.	a.	NOUN
ajst-16292	127	8	rontey	rontey	PROPN
ajst-16292	127	9	,	,	PUNCT
ajst-16292	127	10	y.	y.	PROPN
ajst-16292	127	11	wang	wang	PROPN
ajst-16292	127	12	,	,	PUNCT
ajst-16292	127	13	l.	l.	PROPN
ajst-16292	127	14	jacobs	jacobs	PROPN
ajst-16292	127	15	,	,	PUNCT
ajst-16292	127	16	q.	q.	PROPN
ajst-16292	127	17	chen	chen	PROPN
ajst-16292	127	18	,	,	PUNCT
ajst-16292	127	19	n.	n.	PROPN
ajst-16292	127	20	wang	wang	PROPN
ajst-16292	127	21	,	,	PUNCT
ajst-16292	127	22	s.	s.	PROPN
ajst-16292	127	23	ma	ma	PROPN
ajst-16292	127	24	,	,	PUNCT
ajst-16292	127	25	y.	y.	PROPN
ajst-16292	127	26	cao	cao	PROPN
ajst-16292	127	27	,	,	PUNCT
ajst-16292	127	28	arc	arc	NOUN
ajst-16292	127	29	hopping	hop	VERB
ajst-16292	127	30	dynamics	dynamic	NOUN
ajst-16292	127	31	induced	induce	VERB
ajst-16292	127	32	by	by	ADP
ajst-16292	127	33	interfacial	interfacial	ADJ
ajst-16292	127	34	negative	negative	ADJ
ajst-16292	127	35	differential	differential	ADJ
ajst-16292	127	36	resistance	resistance	NOUN
ajst-16292	127	37	,	,	PUNCT
ajst-16292	127	38	pnas	pnas	PROPN
ajst-16292	127	39	nexus	nexus	PROPN
ajst-16292	127	40	1(3	1(3	NUM
ajst-16292	127	41	)	)	PUNCT
ajst-16292	127	42	(	(	PUNCT
ajst-16292	127	43	2022	2022	NUM
ajst-16292	127	44	)	)	PUNCT
ajst-16292	127	45	pgac129	pgac129	PROPN
ajst-16292	127	46	.	.	PUNCT
ajst-16292	128	1	[	[	X
ajst-16292	128	2	28	28	NUM
ajst-16292	128	3	]	]	X
ajst-16292	128	4	j.	j.	PROPN
ajst-16292	128	5	huo	huo	PROPN
ajst-16292	128	6	,	,	PUNCT
ajst-16292	128	7	y.	y.	PROPN
ajst-16292	128	8	cao	cao	PROPN
ajst-16292	128	9	,	,	PUNCT
ajst-16292	128	10	interfacial	interfacial	ADJ
ajst-16292	128	11	potential	potential	ADJ
ajst-16292	128	12	barrier	barrier	NOUN
ajst-16292	128	13	induced	induce	VERB
ajst-16292	128	14	constriction	constriction	NOUN
ajst-16292	128	15	and	and	CCONJ
ajst-16292	128	16	stepwise	stepwise	ADJ
ajst-16292	128	17	transition	transition	NOUN
ajst-16292	128	18	of	of	ADP
ajst-16292	128	19	a	a	DET
ajst-16292	128	20	dynamic	dynamic	ADJ
ajst-16292	128	21	arc	arc	NOUN
ajst-16292	128	22	root	root	NOUN
ajst-16292	128	23	,	,	PUNCT
ajst-16292	128	24	2019	2019	NUM
ajst-16292	128	25	ieee	ieee	NOUN
ajst-16292	128	26	conference	conference	NOUN
ajst-16292	128	27	on	on	ADP
ajst-16292	128	28	electrical	electrical	ADJ
ajst-16292	128	29	insulation	insulation	NOUN
ajst-16292	128	30	and	and	CCONJ
ajst-16292	128	31	dielectric	dielectric	ADJ
ajst-16292	128	32	phenomena	phenomenon	NOUN
ajst-16292	128	33	(	(	PUNCT
ajst-16292	128	34	ceidp	ceidp	PROPN
ajst-16292	128	35	)	)	PUNCT
ajst-16292	128	36	,	,	PUNCT
ajst-16292	128	37	ieee	ieee	NOUN
ajst-16292	128	38	,	,	PUNCT
ajst-16292	128	39	2019	2019	NUM
ajst-16292	128	40	,	,	PUNCT
ajst-16292	128	41	pp	pp	ADJ
ajst-16292	128	42	.	.	PUNCT
ajst-16292	129	1	564	564	NUM
ajst-16292	129	2	-	-	SYM
ajst-16292	129	3	567	567	NUM
ajst-16292	129	4	.	.	PUNCT
ajst-16292	130	1	[	[	X
ajst-16292	130	2	29	29	NUM
ajst-16292	130	3	]	]	PUNCT
ajst-16292	130	4	m.	m.	NOUN
ajst-16292	130	5	dissanayake	dissanayake	PROPN
ajst-16292	130	6	,	,	PUNCT
ajst-16292	130	7	n.	n.	PROPN
ajst-16292	130	8	phan‐thien	phan‐thien	PROPN
ajst-16292	130	9	,	,	PUNCT
ajst-16292	130	10	neural‐network‐based	neural‐network‐base	VERB
ajst-16292	130	11	approximations	approximation	NOUN
ajst-16292	130	12	for	for	ADP
ajst-16292	130	13	solving	solve	VERB
ajst-16292	130	14	partial	partial	ADJ
ajst-16292	130	15	differential	differential	NOUN
ajst-16292	130	16	equations	equation	NOUN
ajst-16292	130	17	,	,	PUNCT
ajst-16292	130	18	communications	communication	NOUN
ajst-16292	130	19	in	in	ADP
ajst-16292	130	20	numerical	numerical	ADJ
ajst-16292	130	21	methods	method	NOUN
ajst-16292	130	22	in	in	ADP
ajst-16292	130	23	engineering	engineering	NOUN
ajst-16292	130	24	10(3	10(3	NUM
ajst-16292	130	25	)	)	PUNCT
ajst-16292	130	26	(	(	PUNCT
ajst-16292	130	27	1994	1994	NUM
ajst-16292	130	28	)	)	PUNCT
ajst-16292	130	29	195	195	NUM
ajst-16292	130	30	-	-	PUNCT
ajst-16292	130	31	201	201	NUM
ajst-16292	130	32	.	.	PUNCT
ajst-16292	131	1	[	[	X
ajst-16292	131	2	30	30	NUM
ajst-16292	131	3	]	]	X
ajst-16292	131	4	h.	h.	PROPN
ajst-16292	131	5	lee	lee	PROPN
ajst-16292	131	6	,	,	PUNCT
ajst-16292	131	7	i.s	i.s	PROPN
ajst-16292	131	8	.	.	PROPN
ajst-16292	131	9	kang	kang	PROPN
ajst-16292	131	10	,	,	PUNCT
ajst-16292	131	11	neural	neural	ADJ
ajst-16292	131	12	algorithm	algorithm	NOUN
ajst-16292	131	13	for	for	ADP
ajst-16292	131	14	solving	solve	VERB
ajst-16292	131	15	differential	differential	ADJ
ajst-16292	131	16	equations	equation	NOUN
ajst-16292	131	17	,	,	PUNCT
ajst-16292	131	18	journal	journal	NOUN
ajst-16292	131	19	of	of	ADP
ajst-16292	131	20	computational	computational	ADJ
ajst-16292	131	21	physics	physics	NOUN
ajst-16292	131	22	91(1	91(1	NUM
ajst-16292	131	23	)	)	PUNCT
ajst-16292	131	24	(	(	PUNCT
ajst-16292	131	25	1990	1990	NUM
ajst-16292	131	26	)	)	PUNCT
ajst-16292	131	27	110131	110131	NUM
ajst-16292	131	28	.	.	PUNCT
ajst-16292	132	1	[	[	X
ajst-16292	132	2	31	31	NUM
ajst-16292	132	3	]	]	PUNCT
ajst-16292	132	4	s.	s.	PROPN
ajst-16292	132	5	goswami	goswami	PROPN
ajst-16292	132	6	,	,	PUNCT
ajst-16292	132	7	c.	c.	PROPN
ajst-16292	132	8	anitescu	anitescu	PROPN
ajst-16292	132	9	,	,	PUNCT
ajst-16292	132	10	s.	s.	PROPN
ajst-16292	132	11	chakraborty	chakraborty	PROPN
ajst-16292	132	12	,	,	PUNCT
ajst-16292	132	13	t.	t.	PROPN
ajst-16292	132	14	rabczuk	rabczuk	NOUN
ajst-16292	132	15	,	,	PUNCT
ajst-16292	132	16	transfer	transfer	NOUN
ajst-16292	132	17	learning	learn	VERB
ajst-16292	132	18	enhanced	enhance	VERB
ajst-16292	132	19	physics	physics	NOUN
ajst-16292	132	20	informed	inform	VERB
ajst-16292	132	21	neural	neural	ADJ
ajst-16292	132	22	network	network	NOUN
ajst-16292	132	23	for	for	ADP
ajst-16292	132	24	phase	phase	NOUN
ajst-16292	132	25	-	-	PUNCT
ajst-16292	132	26	field	field	NOUN
ajst-16292	132	27	modeling	modeling	NOUN
ajst-16292	132	28	of	of	ADP
ajst-16292	132	29	fracture	fracture	NOUN
ajst-16292	132	30	,	,	PUNCT
ajst-16292	132	31	theoretical	theoretical	ADJ
ajst-16292	132	32	and	and	CCONJ
ajst-16292	132	33	applied	apply	VERB
ajst-16292	132	34	fracture	fracture	NOUN
ajst-16292	132	35	mechanics	mechanic	NOUN
ajst-16292	132	36	106	106	NUM
ajst-16292	132	37	(	(	PUNCT
ajst-16292	132	38	2020	2020	NUM
ajst-16292	132	39	)	)	PUNCT
ajst-16292	132	40	102447	102447	NUM
ajst-16292	132	41	.	.	PUNCT
ajst-16292	133	1	[	[	X
ajst-16292	133	2	32	32	NUM
ajst-16292	133	3	]	]	PUNCT
ajst-16292	133	4	s.	s.	PROPN
ajst-16292	133	5	mishra	mishra	PROPN
ajst-16292	133	6	,	,	PUNCT
ajst-16292	133	7	r.	r.	PROPN
ajst-16292	133	8	molinaro	molinaro	PROPN
ajst-16292	133	9	,	,	PUNCT
ajst-16292	133	10	estimates	estimate	NOUN
ajst-16292	133	11	on	on	ADP
ajst-16292	133	12	the	the	DET
ajst-16292	133	13	generalization	generalization	NOUN
ajst-16292	133	14	error	error	NOUN
ajst-16292	133	15	of	of	ADP
ajst-16292	133	16	physics	physics	NOUN
ajst-16292	133	17	-	-	PUNCT
ajst-16292	133	18	informed	inform	VERB
ajst-16292	133	19	neural	neural	ADJ
ajst-16292	133	20	networks	network	NOUN
ajst-16292	133	21	for	for	ADP
ajst-16292	133	22	approximating	approximate	VERB
ajst-16292	133	23	a	a	DET
ajst-16292	133	24	class	class	NOUN
ajst-16292	133	25	of	of	ADP
ajst-16292	133	26	inverse	inverse	NOUN
ajst-16292	133	27	problems	problem	NOUN
ajst-16292	133	28	for	for	ADP
ajst-16292	133	29	pdes	pde	NOUN
ajst-16292	133	30	,	,	PUNCT
ajst-16292	133	31	i	i	PRON
ajst-16292	133	32	m	m	VERB
ajst-16292	133	33	a	a	DET
ajst-16292	133	34	journal	journal	NOUN
ajst-16292	133	35	of	of	ADP
ajst-16292	133	36	numerical	numerical	ADJ
ajst-16292	133	37	analysis	analysis	NOUN
ajst-16292	133	38	42(2	42(2	NUM
ajst-16292	133	39	)	)	PUNCT
ajst-16292	133	40	(	(	PUNCT
ajst-16292	133	41	2022	2022	NUM
ajst-16292	133	42	)	)	PUNCT
ajst-16292	133	43	981	981	NUM
ajst-16292	133	44	-	-	SYM
ajst-16292	133	45	1022	1022	NUM
ajst-16292	133	46	.	.	PUNCT
ajst-16292	134	1	[	[	X
ajst-16292	134	2	33	33	NUM
ajst-16292	134	3	]	]	PUNCT
ajst-16292	134	4	s.	s.	PROPN
ajst-16292	134	5	wang	wang	PROPN
ajst-16292	134	6	,	,	PUNCT
ajst-16292	134	7	x.	x.	PROPN
ajst-16292	134	8	yu	yu	PROPN
ajst-16292	134	9	,	,	PUNCT
ajst-16292	134	10	p.	p.	NOUN
ajst-16292	134	11	perdikaris	perdikaris	NOUN
ajst-16292	134	12	,	,	PUNCT
ajst-16292	134	13	when	when	SCONJ
ajst-16292	134	14	and	and	CCONJ
ajst-16292	134	15	why	why	SCONJ
ajst-16292	134	16	pinns	pinn	NOUN
ajst-16292	134	17	fail	fail	VERB
ajst-16292	134	18	to	to	PART
ajst-16292	134	19	train	train	VERB
ajst-16292	134	20	:	:	PUNCT
ajst-16292	134	21	a	a	DET
ajst-16292	134	22	neural	neural	ADJ
ajst-16292	134	23	tangent	tangent	NOUN
ajst-16292	134	24	kernel	kernel	PROPN
ajst-16292	134	25	perspective	perspective	PROPN
ajst-16292	134	26	,	,	PUNCT
ajst-16292	134	27	journal	journal	NOUN
ajst-16292	134	28	of	of	ADP
ajst-16292	134	29	computational	computational	ADJ
ajst-16292	134	30	physics	physic	NOUN
ajst-16292	134	31	449	449	NUM
ajst-16292	134	32	(	(	PUNCT
ajst-16292	134	33	2022	2022	NUM
ajst-16292	134	34	)	)	PUNCT
ajst-16292	134	35	110768	110768	NUM
ajst-16292	134	36	.	.	PUNCT
ajst-16292	135	1	[	[	X
ajst-16292	135	2	34	34	NUM
ajst-16292	135	3	]	]	PUNCT
ajst-16292	135	4	m.	m.	NOUN
ajst-16292	135	5	hinze	hinze	PROPN
ajst-16292	135	6	,	,	PUNCT
ajst-16292	135	7	r.	r.	PROPN
ajst-16292	135	8	pinnau	pinnau	PROPN
ajst-16292	135	9	,	,	PUNCT
ajst-16292	135	10	m.	m.	NOUN
ajst-16292	135	11	ulbrich	ulbrich	PROPN
ajst-16292	135	12	,	,	PUNCT
ajst-16292	135	13	s.	s.	PROPN
ajst-16292	135	14	ulbrich	ulbrich	PROPN
ajst-16292	135	15	,	,	PUNCT
ajst-16292	135	16	optimization	optimization	NOUN
ajst-16292	135	17	with	with	ADP
ajst-16292	135	18	pde	pde	NOUN
ajst-16292	135	19	constraints	constraint	NOUN
ajst-16292	135	20	,	,	PUNCT
ajst-16292	135	21	springer	springer	NOUN
ajst-16292	135	22	science	science	PROPN
ajst-16292	135	23	&	&	CCONJ
ajst-16292	135	24	business	business	PROPN
ajst-16292	135	25	media2008	media2008	PROPN
ajst-16292	135	26	.	.	PUNCT