id	sid	tid	token	lemma	pos
bracis-28348	1	1	efficient	efficient	ADJ
bracis-28348	1	2	density	density	NOUN
bracis-28348	1	3	-	-	PUNCT
bracis-28348	1	4	based	base	VERB
bracis-28348	1	5	models	model	NOUN
bracis-28348	1	6	for	for	ADP
bracis-28348	1	7	 	 	SPACE
bracis-28348	1	8	multiple	multiple	ADJ
bracis-28348	1	9	machine	machine	NOUN
bracis-28348	1	10	learning	learn	VERB
bracis-28348	1	11	solutions	solution	NOUN
bracis-28348	1	12	over	over	ADP
bracis-28348	1	13	 	 	SPACE
bracis-28348	1	14	large	large	ADJ
bracis-28348	1	15	datasets	dataset	NOUN
bracis-28348	1	16	|	|	ADV
bracis-28348	1	17	springer	springer	NOUN
bracis-28348	1	18	nature	nature	PROPN
bracis-28348	1	19	link	link	PROPN
bracis-28348	1	20	(	(	PUNCT
bracis-28348	1	21	formerly	formerly	ADV
bracis-28348	1	22	springerlink	springerlink	NOUN
bracis-28348	1	23	)	)	PUNCT
bracis-28348	1	24	skip	skip	VERB
bracis-28348	1	25	to	to	ADP
bracis-28348	1	26	main	main	ADJ
bracis-28348	1	27	content	content	NOUN
bracis-28348	1	28	advertisement	advertisement	NOUN
bracis-28348	1	29	log	log	NOUN
bracis-28348	1	30	in	in	ADP
bracis-28348	1	31	menu	menu	NOUN
bracis-28348	1	32	find	find	VERB
bracis-28348	1	33	a	a	DET
bracis-28348	1	34	journal	journal	NOUN
bracis-28348	1	35	publish	publish	VERB
bracis-28348	1	36	with	with	ADP
bracis-28348	1	37	us	we	PRON
bracis-28348	1	38	track	track	VERB
bracis-28348	1	39	your	your	PRON
bracis-28348	1	40	research	research	NOUN
bracis-28348	1	41	search	search	NOUN
bracis-28348	1	42	cart	cart	NOUN
bracis-28348	1	43	home	home	NOUN
bracis-28348	1	44	intelligent	intelligent	ADJ
bracis-28348	1	45	systems	system	NOUN
bracis-28348	1	46	conference	conference	NOUN
bracis-28348	1	47	paper	paper	NOUN
bracis-28348	1	48	efficient	efficient	ADJ
bracis-28348	1	49	density	density	NOUN
bracis-28348	1	50	-	-	PUNCT
bracis-28348	1	51	based	base	VERB
bracis-28348	1	52	models	model	NOUN
bracis-28348	1	53	for	for	ADP
bracis-28348	1	54	 	 	SPACE
bracis-28348	1	55	multiple	multiple	ADJ
bracis-28348	1	56	machine	machine	NOUN
bracis-28348	1	57	learning	learn	VERB
bracis-28348	1	58	solutions	solution	NOUN
bracis-28348	1	59	over	over	ADP
bracis-28348	1	60	 	 	SPACE
bracis-28348	1	61	large	large	ADJ
bracis-28348	1	62	datasets	dataset	NOUN
bracis-28348	1	63	conference	conference	NOUN
bracis-28348	1	64	paper	paper	NOUN
bracis-28348	1	65	first	first	ADV
bracis-28348	1	66	online	online	ADV
bracis-28348	1	67	:	:	PUNCT
bracis-28348	1	68	12	12	NUM
bracis-28348	1	69	october	october	NOUN
bracis-28348	1	70	2023	2023	NUM
bracis-28348	1	71	pp	pp	ADP
bracis-28348	1	72	48–62	48–62	PROPN
bracis-28348	1	73	cite	cite	VERB
bracis-28348	1	74	this	this	DET
bracis-28348	1	75	conference	conference	NOUN
bracis-28348	1	76	paper	paper	NOUN
bracis-28348	1	77	access	access	NOUN
bracis-28348	1	78	provided	provide	VERB
bracis-28348	1	79	by	by	ADP
bracis-28348	1	80	university	university	PROPN
bracis-28348	1	81	of	of	ADP
bracis-28348	1	82	notre	notre	PROPN
bracis-28348	1	83	dame	dame	PROPN
bracis-28348	1	84	hesburgh	hesburgh	PROPN
bracis-28348	1	85	library	library	PROPN
bracis-28348	1	86	download	download	PROPN
bracis-28348	1	87	book	book	NOUN
bracis-28348	1	88	pdf	pdf	PROPN
bracis-28348	1	89	download	download	NOUN
bracis-28348	1	90	book	book	NOUN
bracis-28348	1	91	epub	epub	PROPN
bracis-28348	1	92	intelligent	intelligent	ADJ
bracis-28348	1	93	systems	system	NOUN
bracis-28348	1	94	(	(	PUNCT
bracis-28348	1	95	bracis	bracis	NOUN
bracis-28348	1	96	2023	2023	NUM
bracis-28348	1	97	)	)	PUNCT
bracis-28348	1	98	efficient	efficient	ADJ
bracis-28348	1	99	density	density	NOUN
bracis-28348	1	100	-	-	PUNCT
bracis-28348	1	101	based	base	VERB
bracis-28348	1	102	models	model	NOUN
bracis-28348	1	103	for	for	ADP
bracis-28348	1	104	 	 	SPACE
bracis-28348	1	105	multiple	multiple	ADJ
bracis-28348	1	106	machine	machine	NOUN
bracis-28348	1	107	learning	learn	VERB
bracis-28348	1	108	solutions	solution	NOUN
bracis-28348	1	109	over	over	ADP
bracis-28348	1	110	 	 	SPACE
bracis-28348	1	111	large	large	ADJ
bracis-28348	1	112	datasets	dataset	NOUN
bracis-28348	1	113	download	download	NOUN
bracis-28348	1	114	book	book	NOUN
bracis-28348	1	115	pdf	pdf	PROPN
bracis-28348	1	116	download	download	NOUN
bracis-28348	1	117	book	book	PROPN
bracis-28348	1	118	epub	epub	PROPN
bracis-28348	1	119	natanael	natanael	PROPN
bracis-28348	1	120	f.	f.	PROPN
bracis-28348	1	121	dacioli	dacioli	PROPN
bracis-28348	1	122	batista	batista	PROPN
bracis-28348	1	123	  	  	SPACE
bracis-28348	1	124	orcid	orcid	NOUN
bracis-28348	1	125	:	:	PUNCT
bracis-28348	1	126	orcid.org/0009-0004-8489-58999	orcid.org/0009-0004-8489-58999	NOUN
bracis-28348	1	127	,	,	PUNCT
bracis-28348	1	128	bruno	bruno	PROPN
bracis-28348	1	129	leonel	leonel	PROPN
bracis-28348	1	130	nunes	nunes	PROPN
bracis-28348	1	131	  	  	SPACE
bracis-28348	1	132	orcid	orcid	NOUN
bracis-28348	1	133	:	:	PUNCT
bracis-28348	1	134	orcid.org/0009-0006-5479-43469	orcid.org/0009-0006-5479-43469	NOUN
bracis-28348	1	135	&	&	CCONJ
bracis-28348	1	136	murilo	murilo	PROPN
bracis-28348	1	137	coelho	coelho	PROPN
bracis-28348	1	138	naldi	naldi	PROPN
bracis-28348	1	139	  	  	SPACE
bracis-28348	1	140	orcid	orcid	PROPN
bracis-28348	1	141	:	:	PUNCT
bracis-28348	1	142	orcid.org/0000-0002-3107-82369	orcid.org/0000-0002-3107-82369	NOUN
bracis-28348	1	143	  	  	SPACE
bracis-28348	1	144	part	part	NOUN
bracis-28348	1	145	of	of	ADP
bracis-28348	1	146	the	the	DET
bracis-28348	1	147	book	book	NOUN
bracis-28348	1	148	series	series	NOUN
bracis-28348	1	149	:	:	PUNCT
bracis-28348	1	150	lecture	lecture	NOUN
bracis-28348	1	151	notes	note	NOUN
bracis-28348	1	152	in	in	ADP
bracis-28348	1	153	computer	computer	NOUN
bracis-28348	1	154	science	science	NOUN
bracis-28348	1	155	(	(	PUNCT
bracis-28348	1	156	(	(	PUNCT
bracis-28348	1	157	lnai	lnai	ADJ
bracis-28348	1	158	,	,	PUNCT
bracis-28348	1	159	volume	volume	NOUN
bracis-28348	1	160	14195	14195	NUM
bracis-28348	1	161	)	)	PUNCT
bracis-28348	1	162	)	)	PUNCT
bracis-28348	1	163	included	include	VERB
bracis-28348	1	164	in	in	ADP
bracis-28348	1	165	the	the	DET
bracis-28348	1	166	following	follow	VERB
bracis-28348	1	167	conference	conference	NOUN
bracis-28348	1	168	series	series	NOUN
bracis-28348	1	169	:	:	PUNCT
bracis-28348	1	170	brazilian	brazilian	ADJ
bracis-28348	1	171	conference	conference	NOUN
bracis-28348	1	172	on	on	ADP
bracis-28348	1	173	intelligent	intelligent	ADJ
bracis-28348	1	174	systems	system	NOUN
bracis-28348	1	175	526	526	NUM
bracis-28348	1	176	accesses	access	VERB
bracis-28348	1	177	1	1	NUM
bracis-28348	1	178	citation	citation	NOUN
bracis-28348	1	179	abstract	abstract	ADV
bracis-28348	1	180	unsupervised	unsupervised	ADJ
bracis-28348	1	181	and	and	CCONJ
bracis-28348	1	182	semi	semi	ADJ
bracis-28348	1	183	-	-	ADJ
bracis-28348	1	184	supervised	supervised	ADJ
bracis-28348	1	185	machine	machine	NOUN
bracis-28348	1	186	learning	learning	NOUN
bracis-28348	1	187	is	be	AUX
bracis-28348	1	188	very	very	ADV
bracis-28348	1	189	advantageous	advantageous	ADJ
bracis-28348	1	190	in	in	ADP
bracis-28348	1	191	data	data	NOUN
bracis-28348	1	192	-	-	PUNCT
bracis-28348	1	193	intensive	intensive	ADJ
bracis-28348	1	194	applications	application	NOUN
bracis-28348	1	195	.	.	PUNCT
bracis-28348	2	1	density	density	NOUN
bracis-28348	2	2	-	-	PUNCT
bracis-28348	2	3	based	base	VERB
bracis-28348	2	4	hierarchical	hierarchical	ADJ
bracis-28348	2	5	clustering	clustering	NOUN
bracis-28348	2	6	obtains	obtain	VERB
bracis-28348	2	7	a	a	DET
bracis-28348	2	8	detailed	detailed	ADJ
bracis-28348	2	9	description	description	NOUN
bracis-28348	2	10	of	of	ADP
bracis-28348	2	11	the	the	DET
bracis-28348	2	12	structures	structure	NOUN
bracis-28348	2	13	of	of	ADP
bracis-28348	2	14	clusters	cluster	NOUN
bracis-28348	2	15	and	and	CCONJ
bracis-28348	2	16	outliers	outlier	NOUN
bracis-28348	2	17	in	in	ADP
bracis-28348	2	18	a	a	DET
bracis-28348	2	19	dataset	dataset	NOUN
bracis-28348	2	20	through	through	ADP
bracis-28348	2	21	density	density	NOUN
bracis-28348	2	22	functions	function	NOUN
bracis-28348	2	23	.	.	PUNCT
bracis-28348	3	1	the	the	DET
bracis-28348	3	2	resulting	result	VERB
bracis-28348	3	3	hierarchy	hierarchy	NOUN
bracis-28348	3	4	of	of	ADP
bracis-28348	3	5	these	these	DET
bracis-28348	3	6	algorithms	algorithm	NOUN
bracis-28348	3	7	can	can	AUX
bracis-28348	3	8	be	be	AUX
bracis-28348	3	9	derived	derive	VERB
bracis-28348	3	10	from	from	ADP
bracis-28348	3	11	a	a	DET
bracis-28348	3	12	minimal	minimal	ADJ
bracis-28348	3	13	spanning	span	VERB
bracis-28348	3	14	tree	tree	NOUN
bracis-28348	3	15	whose	whose	DET
bracis-28348	3	16	edges	edge	NOUN
bracis-28348	3	17	quantify	quantify	VERB
bracis-28348	3	18	the	the	DET
bracis-28348	3	19	maximum	maximum	ADJ
bracis-28348	3	20	density	density	NOUN
bracis-28348	3	21	required	require	VERB
bracis-28348	3	22	for	for	ADP
bracis-28348	3	23	the	the	DET
bracis-28348	3	24	connected	connected	ADJ
bracis-28348	3	25	data	datum	NOUN
bracis-28348	3	26	to	to	PART
bracis-28348	3	27	characterize	characterize	VERB
bracis-28348	3	28	clusters	cluster	NOUN
bracis-28348	3	29	,	,	PUNCT
bracis-28348	3	30	given	give	VERB
bracis-28348	3	31	a	a	DET
bracis-28348	3	32	minimum	minimum	ADJ
bracis-28348	3	33	number	number	NOUN
bracis-28348	3	34	of	of	ADP
bracis-28348	3	35	objects	object	NOUN
bracis-28348	3	36	,	,	PUNCT
bracis-28348	3	37	minpts	minpt	NOUN
bracis-28348	3	38	,	,	PUNCT
bracis-28348	3	39	in	in	ADP
bracis-28348	3	40	a	a	DET
bracis-28348	3	41	given	give	VERB
bracis-28348	3	42	neighborhood	neighborhood	NOUN
bracis-28348	3	43	.	.	PUNCT
bracis-28348	4	1	core	core	NOUN
bracis-28348	4	2	-	-	PUNCT
bracis-28348	4	3	sg	sg	PROPN
bracis-28348	4	4	is	be	AUX
bracis-28348	4	5	a	a	DET
bracis-28348	4	6	powerful	powerful	ADJ
bracis-28348	4	7	spanning	span	VERB
bracis-28348	4	8	graph	graph	NOUN
bracis-28348	4	9	capable	capable	ADJ
bracis-28348	4	10	of	of	ADP
bracis-28348	4	11	deriving	derive	VERB
bracis-28348	4	12	multiple	multiple	ADJ
bracis-28348	4	13	hierarchical	hierarchical	ADJ
bracis-28348	4	14	solutions	solution	NOUN
bracis-28348	4	15	with	with	ADP
bracis-28348	4	16	different	different	ADJ
bracis-28348	4	17	densities	density	NOUN
bracis-28348	4	18	with	with	ADP
bracis-28348	4	19	computational	computational	ADJ
bracis-28348	4	20	performance	performance	NOUN
bracis-28348	4	21	far	far	ADV
bracis-28348	4	22	superior	superior	ADJ
bracis-28348	4	23	to	to	ADP
bracis-28348	4	24	its	its	PRON
bracis-28348	4	25	predecessors	predecessor	NOUN
bracis-28348	4	26	.	.	PUNCT
bracis-28348	5	1	however	however	ADV
bracis-28348	5	2	,	,	PUNCT
bracis-28348	5	3	density	density	NOUN
bracis-28348	5	4	-	-	PUNCT
bracis-28348	5	5	based	base	VERB
bracis-28348	5	6	algorithms	algorithm	NOUN
bracis-28348	5	7	use	use	VERB
bracis-28348	5	8	pairwise	pairwise	NOUN
bracis-28348	5	9	similarity	similarity	NOUN
bracis-28348	5	10	calculations	calculation	NOUN
bracis-28348	5	11	,	,	PUNCT
bracis-28348	5	12	which	which	PRON
bracis-28348	5	13	leads	lead	VERB
bracis-28348	5	14	such	such	ADJ
bracis-28348	5	15	algorithms	algorithm	NOUN
bracis-28348	5	16	to	to	ADP
bracis-28348	5	17	an	an	DET
bracis-28348	5	18	asymptotic	asymptotic	ADJ
bracis-28348	5	19	complexity	complexity	NOUN
bracis-28348	5	20	of	of	ADP
bracis-28348	5	21	\(o(n^2)\	\(o(n^2)\	NOUN
bracis-28348	5	22	)	)	PUNCT
bracis-28348	5	23	for	for	ADP
bracis-28348	5	24	n	n	CCONJ
bracis-28348	5	25	objects	object	NOUN
bracis-28348	5	26	in	in	ADP
bracis-28348	5	27	the	the	DET
bracis-28348	5	28	dataset	dataset	NOUN
bracis-28348	5	29	,	,	PUNCT
bracis-28348	5	30	impractical	impractical	ADJ
bracis-28348	5	31	in	in	ADP
bracis-28348	5	32	scenarios	scenario	NOUN
bracis-28348	5	33	with	with	ADP
bracis-28348	5	34	large	large	ADJ
bracis-28348	5	35	amounts	amount	NOUN
bracis-28348	5	36	of	of	ADP
bracis-28348	5	37	data	datum	NOUN
bracis-28348	5	38	.	.	PUNCT
bracis-28348	6	1	this	this	DET
bracis-28348	6	2	article	article	NOUN
bracis-28348	6	3	enables	enable	VERB
bracis-28348	6	4	hierarchical	hierarchical	ADJ
bracis-28348	6	5	machine	machine	NOUN
bracis-28348	6	6	learning	learning	NOUN
bracis-28348	6	7	models	model	NOUN
bracis-28348	6	8	based	base	VERB
bracis-28348	6	9	on	on	ADP
bracis-28348	6	10	density	density	NOUN
bracis-28348	6	11	by	by	ADP
bracis-28348	6	12	reducing	reduce	VERB
bracis-28348	6	13	the	the	DET
bracis-28348	6	14	computational	computational	ADJ
bracis-28348	6	15	cost	cost	NOUN
bracis-28348	6	16	with	with	ADP
bracis-28348	6	17	the	the	DET
bracis-28348	6	18	help	help	NOUN
bracis-28348	6	19	of	of	ADP
bracis-28348	6	20	data	datum	NOUN
bracis-28348	6	21	bubbles	bubble	NOUN
bracis-28348	6	22	,	,	PUNCT
bracis-28348	6	23	focusing	focus	VERB
bracis-28348	6	24	on	on	ADP
bracis-28348	6	25	clustering	clustering	NOUN
bracis-28348	6	26	and	and	CCONJ
bracis-28348	6	27	outlier	outlier	NOUN
bracis-28348	6	28	detection	detection	NOUN
bracis-28348	6	29	.	.	PUNCT
bracis-28348	7	1	it	it	PRON
bracis-28348	7	2	presents	present	VERB
bracis-28348	7	3	a	a	DET
bracis-28348	7	4	study	study	NOUN
bracis-28348	7	5	of	of	ADP
bracis-28348	7	6	the	the	DET
bracis-28348	7	7	impact	impact	NOUN
bracis-28348	7	8	of	of	ADP
bracis-28348	7	9	data	datum	NOUN
bracis-28348	7	10	summarization	summarization	NOUN
bracis-28348	7	11	on	on	ADP
bracis-28348	7	12	the	the	DET
bracis-28348	7	13	quality	quality	NOUN
bracis-28348	7	14	of	of	ADP
bracis-28348	7	15	unsupervised	unsupervised	ADJ
bracis-28348	7	16	models	model	NOUN
bracis-28348	7	17	with	with	ADP
bracis-28348	7	18	multiple	multiple	ADJ
bracis-28348	7	19	densities	density	NOUN
bracis-28348	7	20	and	and	CCONJ
bracis-28348	7	21	the	the	DET
bracis-28348	7	22	gain	gain	NOUN
bracis-28348	7	23	in	in	ADP
bracis-28348	7	24	computational	computational	ADJ
bracis-28348	7	25	performance	performance	NOUN
bracis-28348	7	26	.	.	PUNCT
bracis-28348	8	1	we	we	PRON
bracis-28348	8	2	provide	provide	VERB
bracis-28348	8	3	scalability	scalability	NOUN
bracis-28348	8	4	for	for	ADP
bracis-28348	8	5	several	several	ADJ
bracis-28348	8	6	machine	machine	NOUN
bracis-28348	8	7	learning	learning	NOUN
bracis-28348	8	8	methods	method	NOUN
bracis-28348	8	9	based	base	VERB
bracis-28348	8	10	on	on	ADP
bracis-28348	8	11	these	these	DET
bracis-28348	8	12	models	model	NOUN
bracis-28348	8	13	to	to	PART
bracis-28348	8	14	handle	handle	VERB
bracis-28348	8	15	large	large	ADJ
bracis-28348	8	16	volumes	volume	NOUN
bracis-28348	8	17	of	of	ADP
bracis-28348	8	18	data	datum	NOUN
bracis-28348	8	19	without	without	ADP
bracis-28348	8	20	a	a	DET
bracis-28348	8	21	significant	significant	ADJ
bracis-28348	8	22	loss	loss	NOUN
bracis-28348	8	23	in	in	ADP
bracis-28348	8	24	the	the	DET
bracis-28348	8	25	resulting	result	VERB
bracis-28348	8	26	quality	quality	NOUN
bracis-28348	8	27	,	,	PUNCT
bracis-28348	8	28	enabling	enable	VERB
bracis-28348	8	29	potential	potential	ADJ
bracis-28348	8	30	new	new	ADJ
bracis-28348	8	31	applications	application	NOUN
bracis-28348	8	32	like	like	ADP
bracis-28348	8	33	density	density	NOUN
bracis-28348	8	34	-	-	PUNCT
bracis-28348	8	35	based	base	VERB
bracis-28348	8	36	data	datum	NOUN
bracis-28348	8	37	stream	stream	NOUN
bracis-28348	8	38	clustering	clustering	NOUN
bracis-28348	8	39	.	.	PUNCT
bracis-28348	9	1	access	access	NOUN
bracis-28348	9	2	provided	provide	VERB
bracis-28348	9	3	by	by	ADP
bracis-28348	9	4	university	university	PROPN
bracis-28348	9	5	of	of	ADP
bracis-28348	9	6	notre	notre	PROPN
bracis-28348	9	7	dame	dame	PROPN
bracis-28348	9	8	hesburgh	hesburgh	PROPN
bracis-28348	9	9	library	library	PROPN
bracis-28348	9	10	.	.	PUNCT
bracis-28348	10	1	download	download	PROPN
bracis-28348	10	2	conference	conference	NOUN
bracis-28348	10	3	paper	paper	NOUN
bracis-28348	10	4	pdf	pdf	NOUN
bracis-28348	10	5	similar	similar	ADJ
bracis-28348	10	6	content	content	NOUN
bracis-28348	10	7	being	be	AUX
bracis-28348	10	8	viewed	view	VERB
bracis-28348	10	9	by	by	ADP
bracis-28348	10	10	others	other	NOUN
bracis-28348	10	11	fast	fast	VERB
bracis-28348	10	12	sparse	sparse	ADJ
bracis-28348	10	13	representative	representative	ADJ
bracis-28348	10	14	tree	tree	NOUN
bracis-28348	10	15	splitting	splitting	NOUN
bracis-28348	10	16	via	via	ADP
bracis-28348	10	17	local	local	ADJ
bracis-28348	10	18	density	density	NOUN
bracis-28348	10	19	for	for	ADP
bracis-28348	10	20	large	large	ADJ
bracis-28348	10	21	-	-	PUNCT
bracis-28348	10	22	scale	scale	NOUN
bracis-28348	10	23	clustering	clustering	NOUN
bracis-28348	10	24	article	article	NOUN
bracis-28348	10	25	open	open	VERB
bracis-28348	10	26	access	access	NOUN
bracis-28348	10	27	11	11	NUM
bracis-28348	10	28	august	august	PROPN
bracis-28348	10	29	2025	2025	NUM
bracis-28348	10	30	cost	cost	NOUN
bracis-28348	10	31	-	-	PUNCT
bracis-28348	10	32	effective	effective	ADJ
bracis-28348	10	33	clustering	clustering	NOUN
bracis-28348	10	34	by	by	ADP
bracis-28348	10	35	 	 	SPACE
bracis-28348	10	36	aggregating	aggregate	VERB
bracis-28348	10	37	local	local	ADJ
bracis-28348	10	38	density	density	NOUN
bracis-28348	10	39	peaks	peak	NOUN
bracis-28348	10	40	chapter	chapter	NOUN
bracis-28348	10	41	©	©	PROPN
bracis-28348	10	42	2023	2023	NUM
bracis-28348	10	43	an	an	DET
bracis-28348	10	44	efficient	efficient	ADJ
bracis-28348	10	45	multicore	multicore	NOUN
bracis-28348	10	46	cpu	cpu	NOUN
bracis-28348	10	47	implementation	implementation	NOUN
bracis-28348	10	48	of	of	ADP
bracis-28348	10	49	the	the	DET
bracis-28348	10	50	databionic	databionic	ADJ
bracis-28348	10	51	swarm	swarm	NOUN
bracis-28348	10	52	chapter	chapter	NOUN
bracis-28348	10	53	©	©	PROPN
bracis-28348	10	54	2025	2025	NUM
bracis-28348	10	55	explore	explore	VERB
bracis-28348	10	56	related	relate	VERB
bracis-28348	10	57	subjects	subject	NOUN
bracis-28348	10	58	discover	discover	VERB
bracis-28348	10	59	the	the	DET
bracis-28348	10	60	latest	late	ADJ
bracis-28348	10	61	articles	article	NOUN
bracis-28348	10	62	,	,	PUNCT
bracis-28348	10	63	books	book	NOUN
bracis-28348	10	64	and	and	CCONJ
bracis-28348	10	65	news	news	NOUN
bracis-28348	10	66	in	in	ADP
bracis-28348	10	67	related	related	ADJ
bracis-28348	10	68	subjects	subject	NOUN
bracis-28348	10	69	,	,	PUNCT
bracis-28348	10	70	suggested	suggest	VERB
bracis-28348	10	71	using	use	VERB
bracis-28348	10	72	machine	machine	NOUN
bracis-28348	10	73	learning	learning	NOUN
bracis-28348	10	74	.	.	PUNCT
bracis-28348	11	1	big	big	ADJ
bracis-28348	11	2	data	data	PROPN
bracis-28348	11	3	data	data	PROPN
bracis-28348	11	4	science	science	NOUN
bracis-28348	11	5	data	datum	NOUN
bracis-28348	11	6	analysis	analysis	NOUN
bracis-28348	11	7	and	and	CCONJ
bracis-28348	11	8	big	big	ADJ
bracis-28348	11	9	data	datum	NOUN
bracis-28348	11	10	data	datum	NOUN
bracis-28348	11	11	mining	mining	NOUN
bracis-28348	11	12	functional	functional	ADJ
bracis-28348	11	13	clustering	clustering	ADJ
bracis-28348	11	14	machine	machine	NOUN
bracis-28348	11	15	learning	learn	VERB
bracis-28348	11	16	1	1	NUM
bracis-28348	11	17	introduction	introduction	NOUN
bracis-28348	11	18	massive	massive	ADJ
bracis-28348	11	19	amounts	amount	NOUN
bracis-28348	11	20	of	of	ADP
bracis-28348	11	21	data	datum	NOUN
bracis-28348	11	22	are	be	AUX
bracis-28348	11	23	generated	generate	VERB
bracis-28348	11	24	daily	daily	ADV
bracis-28348	11	25	 	 	SPACE
bracis-28348	12	1	[	[	X
bracis-28348	12	2	3	3	NUM
bracis-28348	12	3	,	,	PUNCT
bracis-28348	12	4	23	23	NUM
bracis-28348	12	5	]	]	PUNCT
bracis-28348	12	6	.	.	PUNCT
bracis-28348	13	1	unsupervised	unsupervised	ADJ
bracis-28348	13	2	machine	machine	NOUN
bracis-28348	13	3	learning	learning	NOUN
bracis-28348	13	4	is	be	AUX
bracis-28348	13	5	advantageous	advantageous	ADJ
bracis-28348	13	6	in	in	ADP
bracis-28348	13	7	such	such	ADJ
bracis-28348	13	8	scenarios	scenario	NOUN
bracis-28348	13	9	as	as	SCONJ
bracis-28348	13	10	it	it	PRON
bracis-28348	13	11	finds	find	VERB
bracis-28348	13	12	significant	significant	ADJ
bracis-28348	13	13	relationships	relationship	NOUN
bracis-28348	13	14	between	between	ADP
bracis-28348	13	15	the	the	DET
bracis-28348	13	16	data	datum	NOUN
bracis-28348	13	17	and	and	CCONJ
bracis-28348	13	18	does	do	AUX
bracis-28348	13	19	not	not	PART
bracis-28348	13	20	require	require	VERB
bracis-28348	13	21	labels	label	NOUN
bracis-28348	13	22	,	,	PUNCT
bracis-28348	13	23	as	as	SCONJ
bracis-28348	13	24	the	the	DET
bracis-28348	13	25	last	last	ADJ
bracis-28348	13	26	can	can	AUX
bracis-28348	13	27	be	be	AUX
bracis-28348	13	28	rare	rare	ADJ
bracis-28348	13	29	or	or	CCONJ
bracis-28348	13	30	expensive	expensive	ADJ
bracis-28348	13	31	in	in	ADP
bracis-28348	13	32	big	big	ADJ
bracis-28348	13	33	data	datum	NOUN
bracis-28348	13	34	scenarios	scenario	NOUN
bracis-28348	13	35	[	[	X
bracis-28348	13	36	2	2	NUM
bracis-28348	13	37	]	]	PUNCT
bracis-28348	13	38	.	.	PUNCT
bracis-28348	14	1	among	among	ADP
bracis-28348	14	2	the	the	DET
bracis-28348	14	3	various	various	ADJ
bracis-28348	14	4	unsupervised	unsupervised	ADJ
bracis-28348	14	5	techniques	technique	NOUN
bracis-28348	14	6	,	,	PUNCT
bracis-28348	14	7	data	datum	NOUN
bracis-28348	14	8	clustering	cluster	VERB
bracis-28348	14	9	algorithms	algorithm	NOUN
bracis-28348	14	10	are	be	AUX
bracis-28348	14	11	worth	worth	ADJ
bracis-28348	14	12	mentioning	mention	VERB
bracis-28348	14	13	,	,	PUNCT
bracis-28348	14	14	especially	especially	ADV
bracis-28348	14	15	those	those	PRON
bracis-28348	14	16	based	base	VERB
bracis-28348	14	17	on	on	ADP
bracis-28348	14	18	density	density	NOUN
bracis-28348	14	19	,	,	PUNCT
bracis-28348	14	20	as	as	SCONJ
bracis-28348	14	21	they	they	PRON
bracis-28348	14	22	can	can	AUX
bracis-28348	14	23	find	find	VERB
bracis-28348	14	24	clusters	cluster	NOUN
bracis-28348	14	25	and	and	CCONJ
bracis-28348	14	26	outliers	outlier	NOUN
bracis-28348	14	27	without	without	ADP
bracis-28348	14	28	any	any	DET
bracis-28348	14	29	information	information	NOUN
bracis-28348	14	30	external	external	ADJ
bracis-28348	14	31	to	to	ADP
bracis-28348	14	32	the	the	DET
bracis-28348	14	33	data	datum	NOUN
bracis-28348	14	34	.	.	PUNCT
bracis-28348	15	1	furthermore	furthermore	ADV
bracis-28348	15	2	,	,	PUNCT
bracis-28348	15	3	these	these	DET
bracis-28348	15	4	algorithms	algorithm	NOUN
bracis-28348	15	5	are	be	AUX
bracis-28348	15	6	not	not	PART
bracis-28348	15	7	bound	bind	VERB
bracis-28348	15	8	by	by	ADP
bracis-28348	15	9	format	format	NOUN
bracis-28348	15	10	constraints	constraint	NOUN
bracis-28348	15	11	for	for	ADP
bracis-28348	15	12	clusters	cluster	NOUN
bracis-28348	15	13	and	and	CCONJ
bracis-28348	15	14	do	do	AUX
bracis-28348	15	15	not	not	PART
bracis-28348	15	16	require	require	VERB
bracis-28348	15	17	a	a	DET
bracis-28348	15	18	prior	prior	ADJ
bracis-28348	15	19	definition	definition	NOUN
bracis-28348	15	20	of	of	ADP
bracis-28348	15	21	several	several	ADJ
bracis-28348	15	22	clusters	cluster	NOUN
bracis-28348	15	23	like	like	ADP
bracis-28348	15	24	parametric	parametric	ADJ
bracis-28348	15	25	clustering	clustering	ADJ
bracis-28348	15	26	algorithms	algorithm	NOUN
bracis-28348	15	27	.	.	PUNCT
bracis-28348	16	1	its	its	PRON
bracis-28348	16	2	applications	application	NOUN
bracis-28348	16	3	are	be	AUX
bracis-28348	16	4	present	present	ADJ
bracis-28348	16	5	in	in	ADP
bracis-28348	16	6	high	high	ADJ
bracis-28348	16	7	-	-	PUNCT
bracis-28348	16	8	impact	impact	NOUN
bracis-28348	16	9	journals	journal	NOUN
bracis-28348	16	10	across	across	ADP
bracis-28348	16	11	various	various	ADJ
bracis-28348	16	12	research	research	NOUN
bracis-28348	16	13	areas	area	NOUN
bracis-28348	16	14	,	,	PUNCT
bracis-28348	16	15	including	include	VERB
bracis-28348	16	16	human	human	ADJ
bracis-28348	16	17	behavior	behavior	NOUN
bracis-28348	16	18	[	[	X
bracis-28348	16	19	9	9	NUM
bracis-28348	16	20	]	]	PUNCT
bracis-28348	16	21	,	,	PUNCT
bracis-28348	16	22	chemistry	chemistry	NOUN
bracis-28348	17	1	[	[	X
bracis-28348	17	2	14	14	NUM
bracis-28348	17	3	]	]	PUNCT
bracis-28348	17	4	,	,	PUNCT
bracis-28348	17	5	genetics	genetic	NOUN
bracis-28348	17	6	[	[	X
bracis-28348	17	7	19	19	NUM
bracis-28348	17	8	]	]	PUNCT
bracis-28348	17	9	,	,	PUNCT
bracis-28348	17	10	robotics	robotic	NOUN
bracis-28348	17	11	[	[	X
bracis-28348	17	12	21	21	NUM
bracis-28348	17	13	]	]	PUNCT
bracis-28348	17	14	,	,	PUNCT
bracis-28348	17	15	and	and	CCONJ
bracis-28348	17	16	others	other	NOUN
bracis-28348	17	17	.	.	PUNCT
bracis-28348	18	1	density	density	NOUN
bracis-28348	18	2	-	-	PUNCT
bracis-28348	18	3	based	base	VERB
bracis-28348	18	4	algorithms	algorithm	NOUN
bracis-28348	18	5	estimate	estimate	VERB
bracis-28348	18	6	that	that	SCONJ
bracis-28348	18	7	objects	object	NOUN
bracis-28348	18	8	of	of	ADP
bracis-28348	18	9	a	a	DET
bracis-28348	18	10	dataset	dataset	NOUN
bracis-28348	18	11	are	be	AUX
bracis-28348	18	12	chainlike	chainlike	ADV
bracis-28348	18	13	connected	connect	VERB
bracis-28348	18	14	if	if	SCONJ
bracis-28348	18	15	there	there	PRON
bracis-28348	18	16	is	be	VERB
bracis-28348	18	17	a	a	DET
bracis-28348	18	18	minimum	minimum	ADJ
bracis-28348	18	19	number	number	NOUN
bracis-28348	18	20	of	of	ADP
bracis-28348	18	21	objects	object	NOUN
bracis-28348	18	22	in	in	ADP
bracis-28348	18	23	their	their	PRON
bracis-28348	18	24	neighborhood	neighborhood	NOUN
bracis-28348	18	25	(	(	PUNCT
bracis-28348	18	26	known	know	VERB
bracis-28348	18	27	as	as	ADP
bracis-28348	18	28	the	the	DET
bracis-28348	18	29	smoothing	smoothing	NOUN
bracis-28348	18	30	parameter	parameter	NOUN
bracis-28348	18	31	minpts	minpt	NOUN
bracis-28348	18	32	)	)	PUNCT
bracis-28348	18	33	to	to	PART
bracis-28348	18	34	characterize	characterize	VERB
bracis-28348	18	35	a	a	DET
bracis-28348	18	36	region	region	NOUN
bracis-28348	18	37	dense	dense	ADJ
bracis-28348	18	38	enough	enough	ADV
bracis-28348	18	39	to	to	PART
bracis-28348	18	40	form	form	VERB
bracis-28348	18	41	a	a	DET
bracis-28348	18	42	cluster	cluster	NOUN
bracis-28348	18	43	.	.	PUNCT
bracis-28348	19	1	otherwise	otherwise	ADV
bracis-28348	19	2	,	,	PUNCT
bracis-28348	19	3	objects	object	NOUN
bracis-28348	19	4	are	be	AUX
bracis-28348	19	5	considered	consider	VERB
bracis-28348	19	6	outliers	outlier	NOUN
bracis-28348	19	7	.	.	PUNCT
bracis-28348	20	1	given	give	VERB
bracis-28348	20	2	a	a	DET
bracis-28348	20	3	value	value	NOUN
bracis-28348	20	4	of	of	ADP
bracis-28348	20	5	minpts	minpt	NOUN
bracis-28348	20	6	,	,	PUNCT
bracis-28348	20	7	it	it	PRON
bracis-28348	20	8	is	be	AUX
bracis-28348	20	9	possible	possible	ADJ
bracis-28348	20	10	to	to	PART
bracis-28348	20	11	establish	establish	VERB
bracis-28348	20	12	the	the	DET
bracis-28348	20	13	minimum	minimum	ADJ
bracis-28348	20	14	density	density	NOUN
bracis-28348	20	15	and	and	CCONJ
bracis-28348	20	16	similarity	similarity	NOUN
bracis-28348	20	17	necessary	necessary	ADJ
bracis-28348	20	18	to	to	PART
bracis-28348	20	19	connect	connect	VERB
bracis-28348	20	20	any	any	DET
bracis-28348	20	21	pair	pair	NOUN
bracis-28348	20	22	of	of	ADP
bracis-28348	20	23	objects	object	NOUN
bracis-28348	20	24	in	in	ADP
bracis-28348	20	25	the	the	DET
bracis-28348	20	26	data	data	NOUN
bracis-28348	20	27	set	set	VERB
bracis-28348	20	28	,	,	PUNCT
bracis-28348	20	29	forming	form	VERB
bracis-28348	20	30	a	a	DET
bracis-28348	20	31	complete	complete	ADJ
bracis-28348	20	32	graph	graph	NOUN
bracis-28348	20	33	g	g	NOUN
bracis-28348	20	34	in	in	ADP
bracis-28348	20	35	which	which	PRON
bracis-28348	20	36	each	each	DET
bracis-28348	20	37	node	node	NOUN
bracis-28348	20	38	represents	represent	VERB
bracis-28348	20	39	an	an	DET
bracis-28348	20	40	object	object	NOUN
bracis-28348	20	41	and	and	CCONJ
bracis-28348	20	42	each	each	DET
bracis-28348	20	43	edge	edge	VERB
bracis-28348	20	44	a	a	DET
bracis-28348	20	45	measure	measure	NOUN
bracis-28348	20	46	of	of	ADP
bracis-28348	20	47	the	the	DET
bracis-28348	20	48	density	density	NOUN
bracis-28348	20	49	of	of	ADP
bracis-28348	20	50	mutual	mutual	ADJ
bracis-28348	20	51	reach	reach	NOUN
bracis-28348	20	52	that	that	PRON
bracis-28348	20	53	connects	connect	VERB
bracis-28348	20	54	them	they	PRON
bracis-28348	20	55	.	.	PUNCT
bracis-28348	21	1	for	for	ADP
bracis-28348	21	2	example	example	NOUN
bracis-28348	21	3	,	,	PUNCT
bracis-28348	21	4	the	the	DET
bracis-28348	21	5	hdbscan	hdbscan	NOUN
bracis-28348	21	6	[	[	X
bracis-28348	21	7	6	6	NUM
bracis-28348	21	8	]	]	PUNCT
bracis-28348	21	9	algorithm	algorithm	NOUN
bracis-28348	21	10	,	,	PUNCT
bracis-28348	21	11	state	state	NOUN
bracis-28348	21	12	-	-	PUNCT
bracis-28348	21	13	of	of	ADP
bracis-28348	21	14	-	-	PUNCT
bracis-28348	21	15	the	the	DET
bracis-28348	21	16	-	-	PUNCT
bracis-28348	21	17	art	art	NOUN
bracis-28348	21	18	in	in	ADP
bracis-28348	21	19	clustering	cluster	VERB
bracis-28348	21	20	by	by	ADP
bracis-28348	21	21	density	density	NOUN
bracis-28348	21	22	,	,	PUNCT
bracis-28348	21	23	derives	derive	VERB
bracis-28348	21	24	a	a	DET
bracis-28348	21	25	hierarchy	hierarchy	NOUN
bracis-28348	21	26	between	between	ADP
bracis-28348	21	27	objects	object	NOUN
bracis-28348	21	28	and	and	CCONJ
bracis-28348	21	29	their	their	PRON
bracis-28348	21	30	clusters	cluster	NOUN
bracis-28348	21	31	from	from	ADP
bracis-28348	21	32	the	the	DET
bracis-28348	21	33	minimum	minimum	ADJ
bracis-28348	21	34	spanning	span	VERB
bracis-28348	21	35	tree	tree	NOUN
bracis-28348	21	36	(	(	PUNCT
bracis-28348	21	37	mst	mst	PROPN
bracis-28348	21	38	)	)	PUNCT
bracis-28348	21	39	of	of	ADP
bracis-28348	21	40	the	the	DET
bracis-28348	21	41	complete	complete	ADJ
bracis-28348	21	42	graph	graph	NOUN
bracis-28348	21	43	g.	g.	NOUN
bracis-28348	21	44	this	this	PRON
bracis-28348	21	45	enables	enable	VERB
bracis-28348	21	46	transmission	transmission	NOUN
bracis-28348	21	47	of	of	ADP
bracis-28348	21	48	clusters	cluster	NOUN
bracis-28348	21	49	by	by	ADP
bracis-28348	21	50	density	density	NOUN
bracis-28348	21	51	,	,	PUNCT
bracis-28348	21	52	detection	detection	NOUN
bracis-28348	21	53	,	,	PUNCT
bracis-28348	21	54	and	and	CCONJ
bracis-28348	21	55	evaluation	evaluation	NOUN
bracis-28348	21	56	of	of	ADP
bracis-28348	21	57	outliers	outlier	NOUN
bracis-28348	21	58	,	,	PUNCT
bracis-28348	21	59	and	and	CCONJ
bracis-28348	21	60	other	other	ADJ
bracis-28348	21	61	helpful	helpful	ADJ
bracis-28348	21	62	information	information	NOUN
bracis-28348	21	63	in	in	ADP
bracis-28348	21	64	various	various	ADJ
bracis-28348	21	65	areas	area	NOUN
bracis-28348	21	66	such	such	ADJ
bracis-28348	21	67	as	as	ADP
bracis-28348	21	68	passing	pass	VERB
bracis-28348	21	69	bridge	bridge	NOUN
bracis-28348	21	70	approval	approval	NOUN
bracis-28348	22	1	[	[	X
bracis-28348	22	2	8	8	NUM
bracis-28348	22	3	]	]	PUNCT
bracis-28348	22	4	,	,	PUNCT
bracis-28348	22	5	cancer	cancer	NOUN
bracis-28348	22	6	research	research	NOUN
bracis-28348	22	7	[	[	X
bracis-28348	22	8	15	15	NUM
bracis-28348	22	9	]	]	PUNCT
bracis-28348	22	10	,	,	PUNCT
bracis-28348	22	11	shipping	shipping	NOUN
bracis-28348	22	12	systems	system	NOUN
bracis-28348	23	1	[	[	X
bracis-28348	23	2	16	16	NUM
bracis-28348	23	3	]	]	PUNCT
bracis-28348	23	4	,	,	PUNCT
bracis-28348	23	5	among	among	ADP
bracis-28348	23	6	others	other	NOUN
bracis-28348	23	7	.	.	PUNCT
bracis-28348	24	1	later	later	ADV
bracis-28348	24	2	,	,	PUNCT
bracis-28348	24	3	gertrudes	gertrude	NOUN
bracis-28348	24	4	et	et	VERB
bracis-28348	24	5	al	al	PROPN
bracis-28348	24	6	.	.	PUNCT
bracis-28348	25	1	[	[	X
bracis-28348	25	2	10	10	NUM
bracis-28348	25	3	]	]	PUNCT
bracis-28348	25	4	demonstrated	demonstrate	VERB
bracis-28348	25	5	that	that	SCONJ
bracis-28348	25	6	several	several	ADJ
bracis-28348	25	7	other	other	ADJ
bracis-28348	25	8	unsupervised	unsupervised	ADJ
bracis-28348	25	9	and	and	CCONJ
bracis-28348	25	10	semi	semi	ADJ
bracis-28348	25	11	-	-	ADJ
bracis-28348	25	12	supervised	supervised	ADJ
bracis-28348	25	13	algorithms	algorithm	NOUN
bracis-28348	25	14	could	could	AUX
bracis-28348	25	15	also	also	ADV
bracis-28348	25	16	be	be	AUX
bracis-28348	25	17	explained	explain	VERB
bracis-28348	25	18	from	from	ADP
bracis-28348	25	19	a	a	DET
bracis-28348	25	20	perspective	perspective	NOUN
bracis-28348	25	21	based	base	VERB
bracis-28348	25	22	on	on	ADP
bracis-28348	25	23	instances	instance	NOUN
bracis-28348	25	24	or	or	CCONJ
bracis-28348	25	25	variations	variation	NOUN
bracis-28348	25	26	of	of	ADP
bracis-28348	25	27	utilizing	utilize	VERB
bracis-28348	25	28	this	this	DET
bracis-28348	25	29	mst	mst	PROPN
bracis-28348	25	30	over	over	ADP
bracis-28348	25	31	g	g	PROPN
bracis-28348	25	32	,	,	PUNCT
bracis-28348	25	33	considering	consider	VERB
bracis-28348	25	34	the	the	DET
bracis-28348	25	35	resulting	result	VERB
bracis-28348	25	36	minimum	minimum	ADJ
bracis-28348	25	37	density	density	NOUN
bracis-28348	25	38	of	of	ADP
bracis-28348	25	39	minpts	minpt	NOUN
bracis-28348	25	40	.	.	PUNCT
bracis-28348	26	1	however	however	ADV
bracis-28348	26	2	,	,	PUNCT
bracis-28348	26	3	you	you	PRON
bracis-28348	26	4	may	may	AUX
bracis-28348	26	5	need	need	VERB
bracis-28348	26	6	to	to	PART
bracis-28348	26	7	find	find	VERB
bracis-28348	26	8	the	the	DET
bracis-28348	26	9	most	most	ADV
bracis-28348	26	10	appropriate	appropriate	ADJ
bracis-28348	26	11	value	value	NOUN
bracis-28348	26	12	for	for	ADP
bracis-28348	26	13	minpts	minpt	NOUN
bracis-28348	26	14	,	,	PUNCT
bracis-28348	26	15	which	which	PRON
bracis-28348	26	16	can	can	AUX
bracis-28348	26	17	be	be	AUX
bracis-28348	26	18	done	do	VERB
bracis-28348	26	19	by	by	ADP
bracis-28348	26	20	analyzing	analyze	VERB
bracis-28348	26	21	multiple	multiple	ADJ
bracis-28348	26	22	msts	mst	NOUN
bracis-28348	26	23	over	over	ADP
bracis-28348	26	24	g	g	PROPN
bracis-28348	26	25	,	,	PUNCT
bracis-28348	26	26	with	with	ADP
bracis-28348	26	27	each	each	DET
bracis-28348	26	28	mst	mst	PROPN
bracis-28348	26	29	requiring	require	VERB
bracis-28348	26	30	an	an	DET
bracis-28348	26	31	asymptotic	asymptotic	ADJ
bracis-28348	26	32	computational	computational	ADJ
bracis-28348	26	33	complexity	complexity	NOUN
bracis-28348	26	34	of	of	ADP
bracis-28348	26	35	\(o(n^2.\	\(o(n^2.\	PROPN
bracis-28348	26	36	log\	log\	NOUN
bracis-28348	26	37	n)\	n)\	NUM
bracis-28348	26	38	)	)	PUNCT
bracis-28348	26	39	for	for	ADP
bracis-28348	26	40	a	a	DET
bracis-28348	26	41	dataset	dataset	NOUN
bracis-28348	26	42	containing	contain	VERB
bracis-28348	26	43	n	n	PRON
bracis-28348	26	44	objects	object	NOUN
bracis-28348	26	45	.	.	PUNCT
bracis-28348	27	1	in	in	ADP
bracis-28348	27	2	some	some	DET
bracis-28348	27	3	cases	case	NOUN
bracis-28348	27	4	,	,	PUNCT
bracis-28348	27	5	it	it	PRON
bracis-28348	27	6	is	be	AUX
bracis-28348	27	7	necessary	necessary	ADJ
bracis-28348	27	8	to	to	PART
bracis-28348	27	9	analyze	analyze	VERB
bracis-28348	27	10	different	different	ADJ
bracis-28348	27	11	minimum	minimum	ADJ
bracis-28348	27	12	densities	density	NOUN
bracis-28348	27	13	,	,	PUNCT
bracis-28348	27	14	which	which	PRON
bracis-28348	27	15	can	can	AUX
bracis-28348	27	16	be	be	AUX
bracis-28348	27	17	computationally	computationally	ADV
bracis-28348	27	18	prohibitive	prohibitive	ADJ
bracis-28348	27	19	given	give	VERB
bracis-28348	27	20	the	the	DET
bracis-28348	27	21	re	re	NOUN
bracis-28348	27	22	-	-	NOUN
bracis-28348	27	23	execution	execution	NOUN
bracis-28348	27	24	of	of	ADP
bracis-28348	27	25	the	the	DET
bracis-28348	27	26	mst	mst	PROPN
bracis-28348	27	27	extraction	extraction	NOUN
bracis-28348	27	28	algorithm	algorithm	NOUN
bracis-28348	27	29	of	of	ADP
bracis-28348	27	30	the	the	DET
bracis-28348	27	31	complete	complete	ADJ
bracis-28348	27	32	graph	graph	NOUN
bracis-28348	27	33	g.	g.	PROPN
bracis-28348	27	34	recently	recently	ADV
bracis-28348	27	35	,	,	PUNCT
bracis-28348	27	36	neto	neto	PROPN
bracis-28348	27	37	et	et	PROPN
bracis-28348	27	38	al	al	PROPN
bracis-28348	27	39	.	.	PUNCT
bracis-28348	28	1	[	[	X
bracis-28348	28	2	18	18	NUM
bracis-28348	28	3	]	]	PUNCT
bracis-28348	28	4	proposed	propose	VERB
bracis-28348	28	5	the	the	DET
bracis-28348	28	6	replacement	replacement	NOUN
bracis-28348	28	7	of	of	ADP
bracis-28348	28	8	the	the	DET
bracis-28348	28	9	graph	graph	NOUN
bracis-28348	28	10	g	g	NOUN
bracis-28348	28	11	by	by	ADP
bracis-28348	28	12	a	a	DET
bracis-28348	28	13	much	much	ADV
bracis-28348	28	14	smaller	small	ADJ
bracis-28348	28	15	graph	graph	NOUN
bracis-28348	28	16	called	call	VERB
bracis-28348	28	17	core	core	NOUN
bracis-28348	28	18	-	-	PUNCT
bracis-28348	28	19	sg	sg	NOUN
bracis-28348	28	20	which	which	PRON
bracis-28348	28	21	has	have	VERB
bracis-28348	28	22	as	as	ADP
bracis-28348	28	23	its	its	PRON
bracis-28348	28	24	main	main	ADJ
bracis-28348	28	25	characteristic	characteristic	NOUN
bracis-28348	28	26	to	to	PART
bracis-28348	28	27	contain	contain	VERB
bracis-28348	28	28	all	all	DET
bracis-28348	28	29	the	the	DET
bracis-28348	28	30	msts	mst	NOUN
bracis-28348	28	31	of	of	ADP
bracis-28348	28	32	g	g	NOUN
bracis-28348	28	33	for	for	ADP
bracis-28348	28	34	any	any	DET
bracis-28348	28	35	value	value	NOUN
bracis-28348	28	36	of	of	ADP
bracis-28348	28	37	minpts	minpt	NOUN
bracis-28348	28	38	less	less	ADJ
bracis-28348	28	39	than	than	ADP
bracis-28348	28	40	a	a	DET
bracis-28348	28	41	given	give	VERB
bracis-28348	28	42	maximum	maximum	ADJ
bracis-28348	28	43	value	value	NOUN
bracis-28348	28	44	\(minpts_{max}\	\(minpts_{max}\	NOUN
bracis-28348	28	45	)	)	PUNCT
bracis-28348	28	46	.	.	PUNCT
bracis-28348	29	1	an	an	DET
bracis-28348	29	2	extraction	extraction	NOUN
bracis-28348	29	3	of	of	ADP
bracis-28348	29	4	mst	mst	PROPN
bracis-28348	29	5	from	from	ADP
bracis-28348	29	6	core	core	NOUN
bracis-28348	29	7	-	-	PUNCT
bracis-28348	29	8	sg	sg	PROPN
bracis-28348	29	9	has	have	VERB
bracis-28348	29	10	an	an	DET
bracis-28348	29	11	asymptotic	asymptotic	ADJ
bracis-28348	29	12	complexity	complexity	NOUN
bracis-28348	29	13	of	of	ADP
bracis-28348	29	14	\(o(n	\(o(n	PROPN
bracis-28348	29	15	.	.	PUNCT
bracis-28348	29	16	log\	log\	NOUN
bracis-28348	29	17	n)\	n)\	NUM
bracis-28348	29	18	)	)	PUNCT
bracis-28348	29	19	,	,	PUNCT
bracis-28348	29	20	with	with	ADP
bracis-28348	29	21	\(n	\(n	NOUN
bracis-28348	29	22	>	>	PUNCT
bracis-28348	29	23	>	>	X
bracis-28348	29	24	minpts_{max}\	minpts_{max}\	PROPN
bracis-28348	29	25	)	)	PUNCT
bracis-28348	29	26	,	,	PUNCT
bracis-28348	29	27	which	which	PRON
bracis-28348	29	28	is	be	AUX
bracis-28348	29	29	a	a	DET
bracis-28348	29	30	very	very	ADV
bracis-28348	29	31	significant	significant	ADJ
bracis-28348	29	32	reduction	reduction	NOUN
bracis-28348	29	33	compared	compare	VERB
bracis-28348	29	34	to	to	ADP
bracis-28348	29	35	the	the	DET
bracis-28348	29	36	extraction	extraction	NOUN
bracis-28348	29	37	over	over	ADP
bracis-28348	29	38	g.	g.	PROPN
bracis-28348	29	39	core	core	PROPN
bracis-28348	29	40	-	-	PUNCT
bracis-28348	29	41	sg	sg	PROPN
bracis-28348	29	42	is	be	AUX
bracis-28348	29	43	very	very	ADV
bracis-28348	29	44	advantageous	advantageous	ADJ
bracis-28348	29	45	,	,	PUNCT
bracis-28348	29	46	as	as	SCONJ
bracis-28348	29	47	it	it	PRON
bracis-28348	29	48	allows	allow	VERB
bracis-28348	29	49	the	the	DET
bracis-28348	29	50	analysis	analysis	NOUN
bracis-28348	29	51	of	of	ADP
bracis-28348	29	52	results	result	NOUN
bracis-28348	29	53	for	for	ADP
bracis-28348	29	54	multiple	multiple	ADJ
bracis-28348	29	55	values	value	NOUN
bracis-28348	29	56	of	of	ADP
bracis-28348	29	57	minpts	minpt	NOUN
bracis-28348	29	58	at	at	ADP
bracis-28348	29	59	the	the	DET
bracis-28348	29	60	computational	computational	ADJ
bracis-28348	29	61	cost	cost	NOUN
bracis-28348	29	62	of	of	ADP
bracis-28348	29	63	obtaining	obtain	VERB
bracis-28348	29	64	a	a	DET
bracis-28348	29	65	single	single	ADJ
bracis-28348	29	66	result	result	NOUN
bracis-28348	29	67	since	since	SCONJ
bracis-28348	29	68	the	the	DET
bracis-28348	29	69	construction	construction	NOUN
bracis-28348	29	70	of	of	ADP
bracis-28348	29	71	the	the	DET
bracis-28348	29	72	core	core	NOUN
bracis-28348	29	73	-	-	PUNCT
bracis-28348	29	74	sg	sg	PROPN
bracis-28348	29	75	requires	require	VERB
bracis-28348	29	76	the	the	DET
bracis-28348	29	77	mst	mst	PROPN
bracis-28348	29	78	over	over	ADP
bracis-28348	29	79	g	g	NOUN
bracis-28348	29	80	with	with	ADP
bracis-28348	29	81	density	density	NOUN
bracis-28348	29	82	estimated	estimate	VERB
bracis-28348	29	83	as	as	ADP
bracis-28348	29	84	\(minpts_{max}\	\(minpts_{max}\	NOUN
bracis-28348	29	85	)	)	PUNCT
bracis-28348	29	86	.	.	PUNCT
bracis-28348	30	1	in	in	ADP
bracis-28348	30	2	scenarios	scenario	NOUN
bracis-28348	30	3	where	where	SCONJ
bracis-28348	30	4	the	the	DET
bracis-28348	30	5	amount	amount	NOUN
bracis-28348	30	6	of	of	ADP
bracis-28348	30	7	data	datum	NOUN
bracis-28348	30	8	generated	generate	VERB
bracis-28348	30	9	is	be	AUX
bracis-28348	30	10	massive	massive	ADJ
bracis-28348	30	11	,	,	PUNCT
bracis-28348	30	12	using	use	VERB
bracis-28348	30	13	core	core	NOUN
bracis-28348	30	14	-	-	PUNCT
bracis-28348	30	15	sg	sg	NOUN
bracis-28348	30	16	to	to	PART
bracis-28348	30	17	extract	extract	VERB
bracis-28348	30	18	results	result	NOUN
bracis-28348	30	19	with	with	ADP
bracis-28348	30	20	different	different	ADJ
bracis-28348	30	21	densities	density	NOUN
bracis-28348	30	22	is	be	AUX
bracis-28348	30	23	even	even	ADV
bracis-28348	30	24	more	more	ADV
bracis-28348	30	25	computationally	computationally	ADV
bracis-28348	30	26	advantageous	advantageous	ADJ
bracis-28348	30	27	.	.	PUNCT
bracis-28348	31	1	however	however	ADV
bracis-28348	31	2	,	,	PUNCT
bracis-28348	31	3	in	in	ADP
bracis-28348	31	4	these	these	DET
bracis-28348	31	5	scenarios	scenario	NOUN
bracis-28348	31	6	,	,	PUNCT
bracis-28348	31	7	its	its	PRON
bracis-28348	31	8	construction	construction	NOUN
bracis-28348	31	9	is	be	AUX
bracis-28348	31	10	prohibitive	prohibitive	ADJ
bracis-28348	31	11	due	due	ADP
bracis-28348	31	12	to	to	ADP
bracis-28348	31	13	the	the	DET
bracis-28348	31	14	intrinsic	intrinsic	ADJ
bracis-28348	31	15	complexity	complexity	NOUN
bracis-28348	31	16	of	of	ADP
bracis-28348	31	17	density	density	NOUN
bracis-28348	31	18	estimation	estimation	NOUN
bracis-28348	31	19	methods	method	NOUN
bracis-28348	31	20	using	use	VERB
bracis-28348	31	21	pairwise	pairwise	NOUN
bracis-28348	31	22	calculations	calculation	NOUN
bracis-28348	31	23	,	,	PUNCT
bracis-28348	31	24	which	which	PRON
bracis-28348	31	25	remains	remain	VERB
bracis-28348	31	26	\(o(n^2)\	\(o(n^2)\	ADJ
bracis-28348	31	27	)	)	PUNCT
bracis-28348	31	28	.	.	PUNCT
bracis-28348	32	1	because	because	SCONJ
bracis-28348	32	2	of	of	ADP
bracis-28348	32	3	their	their	PRON
bracis-28348	32	4	complexity	complexity	NOUN
bracis-28348	32	5	,	,	PUNCT
bracis-28348	32	6	density	density	NOUN
bracis-28348	32	7	-	-	PUNCT
bracis-28348	32	8	based	base	VERB
bracis-28348	32	9	methods	method	NOUN
bracis-28348	32	10	might	might	AUX
bracis-28348	32	11	be	be	AUX
bracis-28348	32	12	limited	limit	VERB
bracis-28348	32	13	to	to	ADP
bracis-28348	32	14	smaller	small	ADJ
bracis-28348	32	15	datasets	dataset	NOUN
bracis-28348	32	16	.	.	PUNCT
bracis-28348	33	1	breunig	breunig	NOUN
bracis-28348	33	2	et	et	PROPN
bracis-28348	33	3	al	al	PROPN
bracis-28348	33	4	.	.	PUNCT
bracis-28348	34	1	[	[	X
bracis-28348	34	2	4	4	X
bracis-28348	34	3	]	]	PUNCT
bracis-28348	34	4	proposed	propose	VERB
bracis-28348	34	5	the	the	DET
bracis-28348	34	6	use	use	NOUN
bracis-28348	34	7	of	of	ADP
bracis-28348	34	8	data	datum	NOUN
bracis-28348	34	9	bubbles	bubble	NOUN
bracis-28348	34	10	,	,	PUNCT
bracis-28348	34	11	a	a	DET
bracis-28348	34	12	data	data	NOUN
bracis-28348	34	13	summarization	summarization	NOUN
bracis-28348	34	14	method	method	NOUN
bracis-28348	34	15	data	datum	NOUN
bracis-28348	34	16	for	for	ADP
bracis-28348	34	17	hierarchical	hierarchical	ADJ
bracis-28348	34	18	clustering	clustering	NOUN
bracis-28348	34	19	by	by	ADP
bracis-28348	34	20	density	density	NOUN
bracis-28348	34	21	,	,	PUNCT
bracis-28348	34	22	which	which	PRON
bracis-28348	34	23	makes	make	VERB
bracis-28348	34	24	it	it	PRON
bracis-28348	34	25	possible	possible	ADJ
bracis-28348	34	26	to	to	PART
bracis-28348	34	27	preserve	preserve	VERB
bracis-28348	34	28	the	the	DET
bracis-28348	34	29	quality	quality	NOUN
bracis-28348	34	30	of	of	ADP
bracis-28348	34	31	the	the	DET
bracis-28348	34	32	result	result	NOUN
bracis-28348	34	33	obtained	obtain	VERB
bracis-28348	34	34	and	and	CCONJ
bracis-28348	34	35	,	,	PUNCT
bracis-28348	34	36	at	at	ADP
bracis-28348	34	37	the	the	DET
bracis-28348	34	38	same	same	ADJ
bracis-28348	34	39	time	time	NOUN
bracis-28348	34	40	,	,	PUNCT
bracis-28348	34	41	considerably	considerably	ADV
bracis-28348	34	42	increase	increase	VERB
bracis-28348	34	43	the	the	DET
bracis-28348	34	44	computational	computational	ADJ
bracis-28348	34	45	performance	performance	NOUN
bracis-28348	34	46	of	of	ADP
bracis-28348	34	47	the	the	DET
bracis-28348	34	48	algorithm	algorithm	NOUN
bracis-28348	34	49	.	.	PUNCT
bracis-28348	35	1	furthermore	furthermore	ADV
bracis-28348	35	2	,	,	PUNCT
bracis-28348	35	3	data	datum	NOUN
bracis-28348	35	4	bubbles	bubble	NOUN
bracis-28348	35	5	are	be	AUX
bracis-28348	35	6	advantageous	advantageous	ADJ
bracis-28348	35	7	when	when	SCONJ
bracis-28348	35	8	compared	compare	VERB
bracis-28348	35	9	to	to	ADP
bracis-28348	35	10	other	other	ADJ
bracis-28348	35	11	feature	feature	NOUN
bracis-28348	35	12	vectors	vector	NOUN
bracis-28348	35	13	(	(	PUNCT
bracis-28348	35	14	clustering	cluster	VERB
bracis-28348	35	15	feature	feature	NOUN
bracis-28348	35	16	cf	cf	NOUN
bracis-28348	35	17	)	)	PUNCT
bracis-28348	35	18	as	as	SCONJ
bracis-28348	35	19	they	they	PRON
bracis-28348	35	20	were	be	AUX
bracis-28348	35	21	explicitly	explicitly	ADV
bracis-28348	35	22	designed	design	VERB
bracis-28348	35	23	by	by	ADP
bracis-28348	35	24	some	some	PRON
bracis-28348	35	25	of	of	ADP
bracis-28348	35	26	the	the	DET
bracis-28348	35	27	authors	author	NOUN
bracis-28348	35	28	of	of	ADP
bracis-28348	35	29	hdbscan	hdbscan	PROPN
bracis-28348	35	30	*	*	PUNCT
bracis-28348	36	1	[	[	X
bracis-28348	36	2	6	6	NUM
bracis-28348	36	3	]	]	PUNCT
bracis-28348	36	4	to	to	PART
bracis-28348	36	5	be	be	AUX
bracis-28348	36	6	used	use	VERB
bracis-28348	36	7	accurately	accurately	ADV
bracis-28348	36	8	in	in	ADP
bracis-28348	36	9	the	the	DET
bracis-28348	36	10	calculation	calculation	NOUN
bracis-28348	36	11	of	of	ADP
bracis-28348	36	12	reachability	reachability	NOUN
bracis-28348	36	13	distances	distance	NOUN
bracis-28348	36	14	based	base	VERB
bracis-28348	36	15	on	on	ADP
bracis-28348	36	16	density	density	NOUN
bracis-28348	36	17	.	.	PUNCT
bracis-28348	37	1	contributions	contribution	NOUN
bracis-28348	37	2	.	.	PUNCT
bracis-28348	38	1	this	this	DET
bracis-28348	38	2	work	work	NOUN
bracis-28348	38	3	enables	enable	VERB
bracis-28348	38	4	the	the	DET
bracis-28348	38	5	construction	construction	NOUN
bracis-28348	38	6	of	of	ADP
bracis-28348	38	7	the	the	DET
bracis-28348	38	8	core	core	NOUN
bracis-28348	38	9	-	-	PUNCT
bracis-28348	38	10	sg	sg	PROPN
bracis-28348	38	11	on	on	ADP
bracis-28348	38	12	large	large	ADJ
bracis-28348	38	13	datasets	dataset	NOUN
bracis-28348	38	14	,	,	PUNCT
bracis-28348	38	15	which	which	PRON
bracis-28348	38	16	allows	allow	VERB
bracis-28348	38	17	for	for	ADP
bracis-28348	38	18	the	the	DET
bracis-28348	38	19	direct	direct	ADJ
bracis-28348	38	20	application	application	NOUN
bracis-28348	38	21	of	of	ADP
bracis-28348	38	22	a	a	DET
bracis-28348	38	23	variety	variety	NOUN
bracis-28348	38	24	of	of	ADP
bracis-28348	38	25	unsupervised	unsupervised	ADJ
bracis-28348	38	26	and	and	CCONJ
bracis-28348	38	27	semi	semi	ADJ
bracis-28348	38	28	-	-	ADJ
bracis-28348	38	29	supervised	supervised	ADJ
bracis-28348	38	30	algorithms	algorithm	NOUN
bracis-28348	38	31	in	in	ADP
bracis-28348	38	32	tasks	task	NOUN
bracis-28348	38	33	like	like	ADP
bracis-28348	38	34	clustering	clustering	NOUN
bracis-28348	38	35	,	,	PUNCT
bracis-28348	38	36	outlier	outlier	NOUN
bracis-28348	38	37	detection	detection	NOUN
bracis-28348	38	38	,	,	PUNCT
bracis-28348	38	39	classification	classification	NOUN
bracis-28348	38	40	,	,	PUNCT
bracis-28348	38	41	and	and	CCONJ
bracis-28348	38	42	others	other	NOUN
bracis-28348	38	43	[	[	X
bracis-28348	38	44	10	10	NUM
bracis-28348	38	45	]	]	PUNCT
bracis-28348	38	46	.	.	PUNCT
bracis-28348	39	1	density	density	NOUN
bracis-28348	39	2	-	-	PUNCT
bracis-28348	39	3	based	base	VERB
bracis-28348	39	4	algorithms	algorithm	NOUN
bracis-28348	39	5	are	be	AUX
bracis-28348	39	6	known	know	VERB
bracis-28348	39	7	for	for	ADP
bracis-28348	39	8	the	the	DET
bracis-28348	39	9	quality	quality	NOUN
bracis-28348	39	10	of	of	ADP
bracis-28348	39	11	their	their	PRON
bracis-28348	39	12	results	result	NOUN
bracis-28348	39	13	,	,	PUNCT
bracis-28348	39	14	and	and	CCONJ
bracis-28348	39	15	their	their	PRON
bracis-28348	39	16	computational	computational	ADJ
bracis-28348	39	17	cost	cost	NOUN
bracis-28348	39	18	is	be	AUX
bracis-28348	39	19	traditionally	traditionally	ADV
bracis-28348	39	20	limited	limit	VERB
bracis-28348	39	21	to	to	ADP
bracis-28348	39	22	\(o(n^2)\	\(o(n^2)\	ADJ
bracis-28348	39	23	)	)	PUNCT
bracis-28348	39	24	.	.	PUNCT
bracis-28348	40	1	this	this	DET
bracis-28348	40	2	work	work	NOUN
bracis-28348	40	3	proposes	propose	VERB
bracis-28348	40	4	summarization	summarization	NOUN
bracis-28348	40	5	of	of	ADP
bracis-28348	40	6	the	the	DET
bracis-28348	40	7	data	datum	NOUN
bracis-28348	40	8	in	in	ADP
bracis-28348	40	9	a	a	DET
bracis-28348	40	10	significantly	significantly	ADV
bracis-28348	40	11	smaller	small	ADJ
bracis-28348	40	12	amount	amount	NOUN
bracis-28348	40	13	of	of	ADP
bracis-28348	40	14	data	datum	NOUN
bracis-28348	40	15	bubbles	bubble	NOUN
bracis-28348	40	16	and	and	CCONJ
bracis-28348	40	17	,	,	PUNCT
bracis-28348	40	18	subsequently	subsequently	ADV
bracis-28348	40	19	,	,	PUNCT
bracis-28348	40	20	the	the	DET
bracis-28348	40	21	construction	construction	NOUN
bracis-28348	40	22	of	of	ADP
bracis-28348	40	23	the	the	DET
bracis-28348	40	24	core	core	NOUN
bracis-28348	40	25	-	-	PUNCT
bracis-28348	40	26	sg	sg	NOUN
bracis-28348	40	27	on	on	ADP
bracis-28348	40	28	the	the	DET
bracis-28348	40	29	data	data	NOUN
bracis-28348	40	30	bubbles	bubble	NOUN
bracis-28348	40	31	.	.	PUNCT
bracis-28348	41	1	once	once	ADV
bracis-28348	41	2	built	build	VERB
bracis-28348	41	3	,	,	PUNCT
bracis-28348	41	4	core	core	NOUN
bracis-28348	41	5	-	-	PUNCT
bracis-28348	41	6	sg	sg	PROPN
bracis-28348	41	7	can	can	AUX
bracis-28348	41	8	be	be	AUX
bracis-28348	41	9	used	use	VERB
bracis-28348	41	10	to	to	PART
bracis-28348	41	11	obtain	obtain	VERB
bracis-28348	41	12	hierarchical	hierarchical	ADJ
bracis-28348	41	13	results	result	NOUN
bracis-28348	41	14	extracted	extract	VERB
bracis-28348	41	15	with	with	ADP
bracis-28348	41	16	different	different	ADJ
bracis-28348	41	17	values	value	NOUN
bracis-28348	41	18	for	for	ADP
bracis-28348	41	19	its	its	PRON
bracis-28348	41	20	density	density	NOUN
bracis-28348	41	21	parameter	parameter	NOUN
bracis-28348	41	22	with	with	ADP
bracis-28348	41	23	computational	computational	ADJ
bracis-28348	41	24	performance	performance	NOUN
bracis-28348	41	25	o(n	o(n	PROPN
bracis-28348	41	26	)	)	PUNCT
bracis-28348	41	27	,	,	PUNCT
bracis-28348	41	28	which	which	PRON
bracis-28348	41	29	enables	enable	VERB
bracis-28348	41	30	its	its	PRON
bracis-28348	41	31	application	application	NOUN
bracis-28348	41	32	in	in	ADP
bracis-28348	41	33	large	large	ADJ
bracis-28348	41	34	volumes	volume	NOUN
bracis-28348	41	35	of	of	ADP
bracis-28348	41	36	data	data	PROPN
bracis-28348	41	37	.	.	PUNCT
bracis-28348	42	1	far	far	ADV
bracis-28348	42	2	as	as	SCONJ
bracis-28348	42	3	the	the	DET
bracis-28348	42	4	authors	author	NOUN
bracis-28348	42	5	are	be	AUX
bracis-28348	42	6	aware	aware	ADJ
bracis-28348	42	7	,	,	PUNCT
bracis-28348	42	8	this	this	PRON
bracis-28348	42	9	is	be	AUX
bracis-28348	42	10	the	the	DET
bracis-28348	42	11	only	only	ADJ
bracis-28348	42	12	work	work	NOUN
bracis-28348	42	13	in	in	ADP
bracis-28348	42	14	the	the	DET
bracis-28348	42	15	literature	literature	NOUN
bracis-28348	42	16	that	that	PRON
bracis-28348	42	17	allows	allow	VERB
bracis-28348	42	18	the	the	DET
bracis-28348	42	19	construction	construction	NOUN
bracis-28348	42	20	of	of	ADP
bracis-28348	42	21	multiple	multiple	ADJ
bracis-28348	42	22	hierarchical	hierarchical	ADJ
bracis-28348	42	23	models	model	NOUN
bracis-28348	42	24	with	with	ADP
bracis-28348	42	25	different	different	ADJ
bracis-28348	42	26	density	density	NOUN
bracis-28348	42	27	estimates	estimate	NOUN
bracis-28348	42	28	from	from	ADP
bracis-28348	42	29	a	a	DET
bracis-28348	42	30	single	single	ADJ
bracis-28348	42	31	model	model	NOUN
bracis-28348	42	32	of	of	ADP
bracis-28348	42	33	summarized	summarize	VERB
bracis-28348	42	34	data	datum	NOUN
bracis-28348	42	35	.	.	PUNCT
bracis-28348	43	1	the	the	DET
bracis-28348	43	2	present	present	ADJ
bracis-28348	43	3	work	work	NOUN
bracis-28348	43	4	analyzes	analyze	VERB
bracis-28348	43	5	the	the	DET
bracis-28348	43	6	impact	impact	NOUN
bracis-28348	43	7	of	of	ADP
bracis-28348	43	8	summarization	summarization	NOUN
bracis-28348	43	9	on	on	ADP
bracis-28348	43	10	the	the	DET
bracis-28348	43	11	quality	quality	NOUN
bracis-28348	43	12	and	and	CCONJ
bracis-28348	43	13	performance	performance	NOUN
bracis-28348	43	14	of	of	ADP
bracis-28348	43	15	hierarchical	hierarchical	ADJ
bracis-28348	43	16	models	model	NOUN
bracis-28348	43	17	based	base	VERB
bracis-28348	43	18	on	on	ADP
bracis-28348	43	19	densities	density	NOUN
bracis-28348	43	20	to	to	PART
bracis-28348	43	21	measure	measure	VERB
bracis-28348	43	22	to	to	ADP
bracis-28348	43	23	what	what	DET
bracis-28348	43	24	extent	extent	NOUN
bracis-28348	43	25	it	it	PRON
bracis-28348	43	26	can	can	AUX
bracis-28348	43	27	obtain	obtain	VERB
bracis-28348	43	28	significant	significant	ADJ
bracis-28348	43	29	results	result	NOUN
bracis-28348	43	30	without	without	ADP
bracis-28348	43	31	degenerating	degenerate	VERB
bracis-28348	43	32	these	these	DET
bracis-28348	43	33	models	model	NOUN
bracis-28348	43	34	.	.	PUNCT
bracis-28348	44	1	the	the	DET
bracis-28348	44	2	presented	present	VERB
bracis-28348	44	3	results	result	NOUN
bracis-28348	44	4	,	,	PUNCT
bracis-28348	44	5	in	in	ADP
bracis-28348	44	6	addition	addition	NOUN
bracis-28348	44	7	to	to	ADP
bracis-28348	44	8	benefiting	benefit	VERB
bracis-28348	44	9	a	a	DET
bracis-28348	44	10	variety	variety	NOUN
bracis-28348	44	11	of	of	ADP
bracis-28348	44	12	existing	exist	VERB
bracis-28348	44	13	algorithms	algorithm	NOUN
bracis-28348	44	14	in	in	ADP
bracis-28348	44	15	the	the	DET
bracis-28348	44	16	literature	literature	NOUN
bracis-28348	44	17	and	and	CCONJ
bracis-28348	44	18	organized	organize	VERB
bracis-28348	44	19	in	in	ADP
bracis-28348	44	20	[	[	X
bracis-28348	44	21	10	10	NUM
bracis-28348	44	22	]	]	PUNCT
bracis-28348	44	23	,	,	PUNCT
bracis-28348	44	24	also	also	ADV
bracis-28348	44	25	enables	enable	VERB
bracis-28348	44	26	the	the	DET
bracis-28348	44	27	potential	potential	NOUN
bracis-28348	44	28	for	for	ADP
bracis-28348	44	29	new	new	ADJ
bracis-28348	44	30	density	density	NOUN
bracis-28348	44	31	-	-	PUNCT
bracis-28348	44	32	based	base	VERB
bracis-28348	44	33	applications	application	NOUN
bracis-28348	44	34	that	that	PRON
bracis-28348	44	35	include	include	VERB
bracis-28348	44	36	scenarios	scenario	NOUN
bracis-28348	44	37	with	with	ADP
bracis-28348	44	38	continuous	continuous	ADJ
bracis-28348	44	39	data	datum	NOUN
bracis-28348	44	40	streams	stream	NOUN
bracis-28348	44	41	.	.	PUNCT
bracis-28348	45	1	2	2	NUM
bracis-28348	45	2	related	relate	VERB
bracis-28348	45	3	works	work	NOUN
bracis-28348	45	4	data	datum	NOUN
bracis-28348	45	5	summarization	summarization	NOUN
bracis-28348	45	6	has	have	AUX
bracis-28348	45	7	been	be	AUX
bracis-28348	45	8	successfully	successfully	ADV
bracis-28348	45	9	used	use	VERB
bracis-28348	45	10	to	to	PART
bracis-28348	45	11	enable	enable	VERB
bracis-28348	45	12	machine	machine	NOUN
bracis-28348	45	13	learning	learn	VERB
bracis-28348	45	14	tasks	task	NOUN
bracis-28348	45	15	on	on	ADP
bracis-28348	45	16	large	large	ADJ
bracis-28348	45	17	data	datum	NOUN
bracis-28348	45	18	sets	set	NOUN
bracis-28348	45	19	or	or	CCONJ
bracis-28348	45	20	data	datum	NOUN
bracis-28348	45	21	streams	stream	NOUN
bracis-28348	45	22	,	,	PUNCT
bracis-28348	45	23	which	which	PRON
bracis-28348	45	24	are	be	AUX
bracis-28348	45	25	potentially	potentially	ADV
bracis-28348	45	26	infinite	infinite	ADJ
bracis-28348	45	27	.	.	PUNCT
bracis-28348	46	1	for	for	ADP
bracis-28348	46	2	hierarchical	hierarchical	ADJ
bracis-28348	46	3	clustering	clustering	NOUN
bracis-28348	46	4	,	,	PUNCT
bracis-28348	46	5	one	one	NUM
bracis-28348	46	6	of	of	ADP
bracis-28348	46	7	the	the	DET
bracis-28348	46	8	best	well	ADV
bracis-28348	46	9	-	-	PUNCT
bracis-28348	46	10	known	know	VERB
bracis-28348	46	11	algorithms	algorithms	NOUN
bracis-28348	46	12	is	be	AUX
bracis-28348	46	13	birch	birch	NOUN
bracis-28348	46	14	[	[	X
bracis-28348	46	15	24	24	NUM
bracis-28348	46	16	]	]	PUNCT
bracis-28348	46	17	,	,	PUNCT
bracis-28348	46	18	which	which	PRON
bracis-28348	46	19	builds	build	VERB
bracis-28348	46	20	and	and	CCONJ
bracis-28348	46	21	maintains	maintain	VERB
bracis-28348	46	22	a	a	DET
bracis-28348	46	23	hierarchy	hierarchy	NOUN
bracis-28348	46	24	of	of	ADP
bracis-28348	46	25	structures	structure	NOUN
bracis-28348	46	26	called	call	VERB
bracis-28348	46	27	clustering	cluster	VERB
bracis-28348	46	28	features	feature	NOUN
bracis-28348	46	29	(	(	PUNCT
bracis-28348	46	30	cf	cf	NOUN
bracis-28348	46	31	)	)	PUNCT
bracis-28348	46	32	.	.	PUNCT
bracis-28348	47	1	each	each	DET
bracis-28348	47	2	cf	cf	NOUN
bracis-28348	47	3	stores	store	NOUN
bracis-28348	47	4	the	the	DET
bracis-28348	47	5	number	number	NOUN
bracis-28348	47	6	of	of	ADP
bracis-28348	47	7	summarized	summarize	VERB
bracis-28348	47	8	data	datum	NOUN
bracis-28348	47	9	,	,	PUNCT
bracis-28348	47	10	the	the	DET
bracis-28348	47	11	linear	linear	ADJ
bracis-28348	47	12	and	and	CCONJ
bracis-28348	47	13	square	square	ADJ
bracis-28348	47	14	sum	sum	NOUN
bracis-28348	47	15	of	of	ADP
bracis-28348	47	16	the	the	DET
bracis-28348	47	17	data	datum	NOUN
bracis-28348	47	18	.	.	PUNCT
bracis-28348	48	1	the	the	DET
bracis-28348	48	2	birch	birch	NOUN
bracis-28348	48	3	algorithm	algorithm	NOUN
bracis-28348	48	4	structure	structure	NOUN
bracis-28348	48	5	of	of	ADP
bracis-28348	48	6	cfs	cfs	PROPN
bracis-28348	48	7	forms	form	VERB
bracis-28348	48	8	a	a	DET
bracis-28348	48	9	tree	tree	NOUN
bracis-28348	48	10	of	of	ADP
bracis-28348	48	11	subclusters	subcluster	NOUN
bracis-28348	48	12	and	and	CCONJ
bracis-28348	48	13	is	be	AUX
bracis-28348	48	14	built	build	VERB
bracis-28348	48	15	incrementally	incrementally	ADV
bracis-28348	48	16	,	,	PUNCT
bracis-28348	48	17	as	as	SCONJ
bracis-28348	48	18	objects	object	NOUN
bracis-28348	48	19	are	be	AUX
bracis-28348	48	20	inserted	insert	VERB
bracis-28348	48	21	sequentially	sequentially	ADV
bracis-28348	48	22	in	in	ADP
bracis-28348	48	23	the	the	DET
bracis-28348	48	24	cf	cf	NOUN
bracis-28348	48	25	that	that	PRON
bracis-28348	48	26	best	good	ADJ
bracis-28348	48	27	represents	represent	VERB
bracis-28348	48	28	it	it	PRON
bracis-28348	48	29	.	.	PUNCT
bracis-28348	49	1	parameters	parameter	NOUN
bracis-28348	49	2	define	define	VERB
bracis-28348	49	3	when	when	SCONJ
bracis-28348	49	4	new	new	ADJ
bracis-28348	49	5	cfs	cfs	PROPN
bracis-28348	49	6	are	be	AUX
bracis-28348	49	7	added	add	VERB
bracis-28348	49	8	to	to	ADP
bracis-28348	49	9	the	the	DET
bracis-28348	49	10	tree	tree	NOUN
bracis-28348	49	11	to	to	PART
bracis-28348	49	12	increase	increase	VERB
bracis-28348	49	13	the	the	DET
bracis-28348	49	14	hierarchy	hierarchy	NOUN
bracis-28348	49	15	.	.	PUNCT
bracis-28348	50	1	using	use	VERB
bracis-28348	50	2	cfs	cfs	PROPN
bracis-28348	50	3	statistics	statistic	NOUN
bracis-28348	50	4	improves	improve	VERB
bracis-28348	50	5	the	the	DET
bracis-28348	50	6	algorithm	algorithm	NOUN
bracis-28348	50	7	’s	’s	PART
bracis-28348	50	8	performance	performance	NOUN
bracis-28348	50	9	without	without	ADP
bracis-28348	50	10	significantly	significantly	ADV
bracis-28348	50	11	impacting	impact	VERB
bracis-28348	50	12	the	the	DET
bracis-28348	50	13	quality	quality	NOUN
bracis-28348	50	14	of	of	ADP
bracis-28348	50	15	the	the	DET
bracis-28348	50	16	result	result	NOUN
bracis-28348	50	17	.	.	PUNCT
bracis-28348	51	1	traditional	traditional	ADJ
bracis-28348	51	2	cf	cf	NOUN
bracis-28348	51	3	summarize	summarize	VERB
bracis-28348	51	4	data	datum	NOUN
bracis-28348	51	5	in	in	ADP
bracis-28348	51	6	such	such	DET
bracis-28348	51	7	a	a	DET
bracis-28348	51	8	way	way	NOUN
bracis-28348	51	9	as	as	SCONJ
bracis-28348	51	10	to	to	PART
bracis-28348	51	11	lose	lose	VERB
bracis-28348	51	12	information	information	NOUN
bracis-28348	51	13	about	about	ADP
bracis-28348	51	14	its	its	PRON
bracis-28348	51	15	original	original	ADJ
bracis-28348	51	16	placement	placement	NOUN
bracis-28348	51	17	and	and	CCONJ
bracis-28348	51	18	its	its	PRON
bracis-28348	51	19	nearest	near	ADJ
bracis-28348	51	20	neighbors	neighbor	NOUN
bracis-28348	51	21	,	,	PUNCT
bracis-28348	51	22	creating	create	VERB
bracis-28348	51	23	a	a	DET
bracis-28348	51	24	distortion	distortion	NOUN
bracis-28348	51	25	when	when	SCONJ
bracis-28348	51	26	represented	represent	VERB
bracis-28348	51	27	only	only	ADV
bracis-28348	51	28	by	by	ADP
bracis-28348	51	29	its	its	PRON
bracis-28348	51	30	central	central	ADJ
bracis-28348	51	31	objects	object	NOUN
bracis-28348	51	32	.	.	PUNCT
bracis-28348	52	1	this	this	DET
bracis-28348	52	2	loss	loss	NOUN
bracis-28348	52	3	of	of	ADP
bracis-28348	52	4	information	information	NOUN
bracis-28348	52	5	impacts	impact	VERB
bracis-28348	52	6	the	the	DET
bracis-28348	52	7	quality	quality	NOUN
bracis-28348	52	8	of	of	ADP
bracis-28348	52	9	density	density	NOUN
bracis-28348	52	10	-	-	PUNCT
bracis-28348	52	11	based	base	VERB
bracis-28348	52	12	algorithms	algorithm	NOUN
bracis-28348	52	13	.	.	PUNCT
bracis-28348	53	1	to	to	PART
bracis-28348	53	2	solve	solve	VERB
bracis-28348	53	3	this	this	DET
bracis-28348	53	4	problem	problem	NOUN
bracis-28348	53	5	,	,	PUNCT
bracis-28348	53	6	data	data	NOUN
bracis-28348	53	7	bubbles	bubble	NOUN
bracis-28348	53	8	(	(	PUNCT
bracis-28348	53	9	dbs	dbs	PROPN
bracis-28348	53	10	)	)	PUNCT
bracis-28348	54	1	[	[	X
bracis-28348	54	2	4	4	NUM
bracis-28348	54	3	]	]	PUNCT
bracis-28348	54	4	were	be	AUX
bracis-28348	54	5	proposed	propose	VERB
bracis-28348	54	6	to	to	PART
bracis-28348	54	7	add	add	VERB
bracis-28348	54	8	information	information	NOUN
bracis-28348	54	9	to	to	PART
bracis-28348	54	10	cf	cf	VERB
bracis-28348	54	11	necessary	necessary	ADJ
bracis-28348	54	12	for	for	ADP
bracis-28348	54	13	the	the	DET
bracis-28348	54	14	calculation	calculation	NOUN
bracis-28348	54	15	of	of	ADP
bracis-28348	54	16	density	density	NOUN
bracis-28348	54	17	estimates	estimate	NOUN
bracis-28348	54	18	in	in	ADP
bracis-28348	54	19	the	the	DET
bracis-28348	54	20	region	region	NOUN
bracis-28348	54	21	covered	cover	VERB
bracis-28348	54	22	by	by	ADP
bracis-28348	54	23	db	db	PROPN
bracis-28348	54	24	.	.	PUNCT
bracis-28348	55	1	this	this	DET
bracis-28348	55	2	information	information	NOUN
bracis-28348	55	3	is	be	AUX
bracis-28348	55	4	a	a	DET
bracis-28348	55	5	“	"	PUNCT
bracis-28348	55	6	representative	representative	ADJ
bracis-28348	55	7	”	"	PUNCT
bracis-28348	55	8	vector	vector	NOUN
bracis-28348	55	9	to	to	PART
bracis-28348	55	10	indicate	indicate	VERB
bracis-28348	55	11	the	the	DET
bracis-28348	55	12	placement	placement	NOUN
bracis-28348	55	13	of	of	ADP
bracis-28348	55	14	db	db	PROPN
bracis-28348	55	15	;	;	PUNCT
bracis-28348	55	16	its	its	PRON
bracis-28348	55	17	radius	radius	NOUN
bracis-28348	55	18	and	and	CCONJ
bracis-28348	55	19	estimation	estimation	NOUN
bracis-28348	55	20	of	of	ADP
bracis-28348	55	21	average	average	ADJ
bracis-28348	55	22	distances	distance	NOUN
bracis-28348	55	23	between	between	ADP
bracis-28348	55	24	objects	object	NOUN
bracis-28348	55	25	within	within	ADP
bracis-28348	55	26	the	the	DET
bracis-28348	55	27	db	db	PROPN
bracis-28348	55	28	,	,	PUNCT
bracis-28348	55	29	essential	essential	ADJ
bracis-28348	55	30	for	for	ADP
bracis-28348	55	31	density	density	NOUN
bracis-28348	55	32	calculations	calculation	NOUN
bracis-28348	55	33	.	.	PUNCT
bracis-28348	56	1	dbs	dbs	PROPN
bracis-28348	56	2	have	have	AUX
bracis-28348	56	3	been	be	AUX
bracis-28348	56	4	successfully	successfully	ADV
bracis-28348	56	5	used	use	VERB
bracis-28348	56	6	in	in	ADP
bracis-28348	56	7	a	a	DET
bracis-28348	56	8	variety	variety	NOUN
bracis-28348	56	9	of	of	ADP
bracis-28348	56	10	jobs	job	NOUN
bracis-28348	56	11	[	[	X
bracis-28348	56	12	13	13	NUM
bracis-28348	56	13	,	,	PUNCT
bracis-28348	56	14	20	20	NUM
bracis-28348	56	15	,	,	PUNCT
bracis-28348	56	16	26	26	NUM
bracis-28348	56	17	]	]	PUNCT
bracis-28348	56	18	related	relate	VERB
bracis-28348	56	19	to	to	ADP
bracis-28348	56	20	new	new	ADJ
bracis-28348	56	21	summarization	summarization	NOUN
bracis-28348	56	22	approaches	approach	NOUN
bracis-28348	56	23	and	and	CCONJ
bracis-28348	56	24	density	density	NOUN
bracis-28348	56	25	calculations	calculation	NOUN
bracis-28348	56	26	.	.	PUNCT
bracis-28348	57	1	additionally	additionally	ADV
bracis-28348	57	2	,	,	PUNCT
bracis-28348	57	3	dbs	dbs	PROPN
bracis-28348	57	4	were	be	AUX
bracis-28348	57	5	proposed	propose	VERB
bracis-28348	57	6	for	for	ADP
bracis-28348	57	7	application	application	NOUN
bracis-28348	57	8	in	in	ADP
bracis-28348	57	9	hierarchical	hierarchical	ADJ
bracis-28348	57	10	algorithms	algorithm	NOUN
bracis-28348	57	11	,	,	PUNCT
bracis-28348	57	12	as	as	SCONJ
bracis-28348	57	13	was	be	AUX
bracis-28348	57	14	done	do	VERB
bracis-28348	57	15	with	with	ADP
bracis-28348	57	16	the	the	DET
bracis-28348	57	17	optics	optic	NOUN
bracis-28348	57	18	[	[	X
bracis-28348	57	19	1	1	X
bracis-28348	57	20	]	]	PUNCT
bracis-28348	57	21	in	in	ADP
bracis-28348	57	22	[	[	X
bracis-28348	57	23	5	5	NUM
bracis-28348	57	24	]	]	PUNCT
bracis-28348	57	25	where	where	SCONJ
bracis-28348	57	26	the	the	DET
bracis-28348	57	27	use	use	NOUN
bracis-28348	57	28	of	of	ADP
bracis-28348	57	29	dbs	dbs	PROPN
bracis-28348	57	30	obtained	obtain	VERB
bracis-28348	57	31	a	a	DET
bracis-28348	57	32	great	great	ADJ
bracis-28348	57	33	increase	increase	NOUN
bracis-28348	57	34	in	in	ADP
bracis-28348	57	35	computational	computational	ADJ
bracis-28348	57	36	performance	performance	NOUN
bracis-28348	57	37	,	,	PUNCT
bracis-28348	57	38	maintaining	maintain	VERB
bracis-28348	57	39	the	the	DET
bracis-28348	57	40	quality	quality	NOUN
bracis-28348	57	41	of	of	ADP
bracis-28348	57	42	the	the	DET
bracis-28348	57	43	final	final	ADJ
bracis-28348	57	44	result	result	NOUN
bracis-28348	57	45	.	.	PUNCT
bracis-28348	58	1	the	the	DET
bracis-28348	58	2	potential	potential	NOUN
bracis-28348	58	3	of	of	ADP
bracis-28348	58	4	applying	apply	VERB
bracis-28348	58	5	dbs	dbs	NOUN
bracis-28348	58	6	for	for	ADP
bracis-28348	58	7	analysis	analysis	NOUN
bracis-28348	58	8	and	and	CCONJ
bracis-28348	58	9	visualization	visualization	NOUN
bracis-28348	58	10	of	of	ADP
bracis-28348	58	11	large	large	ADJ
bracis-28348	58	12	databases	database	NOUN
bracis-28348	58	13	is	be	AUX
bracis-28348	58	14	also	also	ADV
bracis-28348	58	15	discussed	discuss	VERB
bracis-28348	58	16	in	in	ADP
bracis-28348	58	17	[	[	X
bracis-28348	58	18	5	5	NUM
bracis-28348	58	19	]	]	PUNCT
bracis-28348	58	20	.	.	PUNCT
bracis-28348	59	1	a	a	DET
bracis-28348	59	2	characteristic	characteristic	NOUN
bracis-28348	59	3	of	of	ADP
bracis-28348	59	4	dbs	dbs	PROPN
bracis-28348	59	5	is	be	AUX
bracis-28348	59	6	that	that	SCONJ
bracis-28348	59	7	they	they	PRON
bracis-28348	59	8	are	be	AUX
bracis-28348	59	9	incremental	incremental	ADJ
bracis-28348	59	10	,	,	PUNCT
bracis-28348	59	11	which	which	PRON
bracis-28348	59	12	means	mean	VERB
bracis-28348	59	13	they	they	PRON
bracis-28348	59	14	can	can	AUX
bracis-28348	59	15	be	be	AUX
bracis-28348	59	16	updated	update	VERB
bracis-28348	59	17	with	with	ADP
bracis-28348	59	18	new	new	ADJ
bracis-28348	59	19	data	datum	NOUN
bracis-28348	59	20	.	.	PUNCT
bracis-28348	60	1	this	this	DET
bracis-28348	60	2	characteristic	characteristic	NOUN
bracis-28348	60	3	is	be	AUX
bracis-28348	60	4	explored	explore	VERB
bracis-28348	60	5	in	in	ADP
bracis-28348	60	6	[	[	X
bracis-28348	60	7	17	17	NUM
bracis-28348	60	8	]	]	PUNCT
bracis-28348	60	9	,	,	PUNCT
bracis-28348	60	10	where	where	SCONJ
bracis-28348	60	11	dbs	dbs	NOUN
bracis-28348	60	12	are	be	AUX
bracis-28348	60	13	used	use	VERB
bracis-28348	60	14	to	to	PART
bracis-28348	60	15	provide	provide	VERB
bracis-28348	60	16	incrementality	incrementality	NOUN
bracis-28348	60	17	for	for	ADP
bracis-28348	60	18	the	the	DET
bracis-28348	60	19	method	method	NOUN
bracis-28348	60	20	that	that	PRON
bracis-28348	60	21	the	the	DET
bracis-28348	60	22	authors	author	NOUN
bracis-28348	60	23	call	call	VERB
bracis-28348	60	24	incremental	incremental	ADJ
bracis-28348	60	25	and	and	CCONJ
bracis-28348	60	26	effective	effective	ADJ
bracis-28348	60	27	data	data	NOUN
bracis-28348	60	28	summarization	summarization	NOUN
bracis-28348	60	29	(	(	PUNCT
bracis-28348	60	30	ieds	ied	NOUN
bracis-28348	60	31	)	)	PUNCT
bracis-28348	60	32	,	,	PUNCT
bracis-28348	60	33	designed	design	VERB
bracis-28348	60	34	for	for	ADP
bracis-28348	60	35	large	large	ADJ
bracis-28348	60	36	volumes	volume	NOUN
bracis-28348	60	37	of	of	ADP
bracis-28348	60	38	data	datum	NOUN
bracis-28348	60	39	dynamic	dynamic	ADJ
bracis-28348	60	40	,	,	PUNCT
bracis-28348	60	41	where	where	SCONJ
bracis-28348	60	42	new	new	ADJ
bracis-28348	60	43	data	datum	NOUN
bracis-28348	60	44	is	be	AUX
bracis-28348	60	45	continually	continually	ADV
bracis-28348	60	46	add	add	VERB
bracis-28348	60	47	in	in	ADP
bracis-28348	60	48	a	a	DET
bracis-28348	60	49	hierarchical	hierarchical	ADJ
bracis-28348	60	50	clustering	clustering	ADJ
bracis-28348	60	51	tree	tree	NOUN
bracis-28348	60	52	.	.	PUNCT
bracis-28348	61	1	the	the	DET
bracis-28348	61	2	ieds	ied	NOUN
bracis-28348	61	3	method	method	VERB
bracis-28348	61	4	speeds	speed	NOUN
bracis-28348	61	5	up	up	ADP
bracis-28348	61	6	the	the	DET
bracis-28348	61	7	incremental	incremental	ADJ
bracis-28348	61	8	construction	construction	NOUN
bracis-28348	61	9	of	of	ADP
bracis-28348	61	10	summarized	summarize	VERB
bracis-28348	61	11	data	datum	NOUN
bracis-28348	61	12	using	use	VERB
bracis-28348	61	13	triangular	triangular	NOUN
bracis-28348	61	14	inequalities	inequality	NOUN
bracis-28348	61	15	for	for	ADP
bracis-28348	61	16	inserting	insert	VERB
bracis-28348	61	17	and	and	CCONJ
bracis-28348	61	18	deleting	delete	VERB
bracis-28348	61	19	dbs	dbs	PROPN
bracis-28348	61	20	.	.	PUNCT
bracis-28348	62	1	furthermore	furthermore	ADV
bracis-28348	62	2	,	,	PUNCT
bracis-28348	62	3	the	the	DET
bracis-28348	62	4	algorithm	algorithm	NOUN
bracis-28348	62	5	analyzes	analyze	VERB
bracis-28348	62	6	the	the	DET
bracis-28348	62	7	dbs	dbs	NOUN
bracis-28348	62	8	to	to	PART
bracis-28348	62	9	keep	keep	VERB
bracis-28348	62	10	those	those	PRON
bracis-28348	62	11	with	with	ADP
bracis-28348	62	12	high	high	ADJ
bracis-28348	62	13	-	-	PUNCT
bracis-28348	62	14	quality	quality	NOUN
bracis-28348	62	15	compressed	compress	VERB
bracis-28348	62	16	data	datum	NOUN
bracis-28348	62	17	.	.	PUNCT
bracis-28348	63	1	however	however	ADV
bracis-28348	63	2	,	,	PUNCT
bracis-28348	63	3	when	when	SCONJ
bracis-28348	63	4	initializing	initialize	VERB
bracis-28348	63	5	the	the	DET
bracis-28348	63	6	summarization	summarization	NOUN
bracis-28348	63	7	,	,	PUNCT
bracis-28348	63	8	defining	define	VERB
bracis-28348	63	9	which	which	DET
bracis-28348	63	10	data	datum	NOUN
bracis-28348	63	11	will	will	AUX
bracis-28348	63	12	be	be	AUX
bracis-28348	63	13	summarized	summarize	VERB
bracis-28348	63	14	in	in	ADP
bracis-28348	63	15	each	each	DET
bracis-28348	63	16	db	db	PROPN
bracis-28348	63	17	is	be	AUX
bracis-28348	63	18	necessary	necessary	ADJ
bracis-28348	63	19	.	.	PUNCT
bracis-28348	64	1	this	this	DET
bracis-28348	64	2	choice	choice	NOUN
bracis-28348	64	3	can	can	AUX
bracis-28348	64	4	generate	generate	VERB
bracis-28348	64	5	different	different	ADJ
bracis-28348	64	6	and	and	CCONJ
bracis-28348	64	7	unsatisfactory	unsatisfactory	ADJ
bracis-28348	64	8	results	result	NOUN
bracis-28348	64	9	,	,	PUNCT
bracis-28348	64	10	mainly	mainly	ADV
bracis-28348	64	11	if	if	SCONJ
bracis-28348	64	12	data	datum	NOUN
bracis-28348	64	13	separated	separate	VERB
bracis-28348	64	14	by	by	ADP
bracis-28348	64	15	low	low	ADJ
bracis-28348	64	16	-	-	PUNCT
bracis-28348	64	17	density	density	NOUN
bracis-28348	64	18	regions	region	NOUN
bracis-28348	64	19	are	be	AUX
bracis-28348	64	20	summarized	summarize	VERB
bracis-28348	64	21	in	in	ADP
bracis-28348	64	22	the	the	DET
bracis-28348	64	23	same	same	ADJ
bracis-28348	64	24	db	db	NOUN
bracis-28348	64	25	.	.	PUNCT
bracis-28348	64	26	to	to	PART
bracis-28348	64	27	avoid	avoid	VERB
bracis-28348	64	28	the	the	DET
bracis-28348	64	29	performance	performance	NOUN
bracis-28348	64	30	of	of	ADP
bracis-28348	64	31	the	the	DET
bracis-28348	64	32	algorithm	algorithm	NOUN
bracis-28348	64	33	not	not	PART
bracis-28348	64	34	so	so	ADV
bracis-28348	64	35	sensitive	sensitive	ADJ
bracis-28348	64	36	to	to	ADP
bracis-28348	64	37	the	the	DET
bracis-28348	64	38	compression	compression	NOUN
bracis-28348	64	39	rate	rate	NOUN
bracis-28348	64	40	and	and	CCONJ
bracis-28348	64	41	the	the	DET
bracis-28348	64	42	location	location	NOUN
bracis-28348	64	43	of	of	ADP
bracis-28348	64	44	the	the	DET
bracis-28348	64	45	seeds	seed	NOUN
bracis-28348	64	46	that	that	PRON
bracis-28348	64	47	initialize	initialize	VERB
bracis-28348	64	48	the	the	DET
bracis-28348	64	49	dbs	dbs	PROPN
bracis-28348	64	50	,	,	PUNCT
bracis-28348	64	51	a	a	DET
bracis-28348	64	52	method	method	NOUN
bracis-28348	64	53	of	of	ADP
bracis-28348	64	54	data	datum	NOUN
bracis-28348	64	55	summarization	summarization	NOUN
bracis-28348	64	56	and	and	CCONJ
bracis-28348	64	57	initialization	initialization	NOUN
bracis-28348	64	58	of	of	ADP
bracis-28348	64	59	dbs	dbs	PROPN
bracis-28348	64	60	is	be	AUX
bracis-28348	64	61	proposed	propose	VERB
bracis-28348	64	62	in	in	ADP
bracis-28348	64	63	[	[	X
bracis-28348	64	64	25	25	NUM
bracis-28348	64	65	]	]	PUNCT
bracis-28348	64	66	.	.	PUNCT
bracis-28348	65	1	in	in	ADP
bracis-28348	65	2	it	it	PRON
bracis-28348	65	3	,	,	PUNCT
bracis-28348	65	4	a	a	DET
bracis-28348	65	5	sampling	sampling	NOUN
bracis-28348	65	6	based	base	VERB
bracis-28348	65	7	on	on	ADP
bracis-28348	65	8	density	density	NOUN
bracis-28348	65	9	for	for	ADP
bracis-28348	65	10	selecting	select	VERB
bracis-28348	65	11	a	a	DET
bracis-28348	65	12	subset	subset	NOUN
bracis-28348	65	13	of	of	ADP
bracis-28348	65	14	data	datum	NOUN
bracis-28348	65	15	to	to	PART
bracis-28348	65	16	be	be	AUX
bracis-28348	65	17	used	use	VERB
bracis-28348	65	18	in	in	ADP
bracis-28348	65	19	the	the	DET
bracis-28348	65	20	construction	construction	NOUN
bracis-28348	65	21	of	of	ADP
bracis-28348	65	22	dbs	dbs	PROPN
bracis-28348	65	23	is	be	AUX
bracis-28348	65	24	used	use	VERB
bracis-28348	65	25	,	,	PUNCT
bracis-28348	65	26	thus	thus	ADV
bracis-28348	65	27	avoiding	avoid	VERB
bracis-28348	65	28	the	the	DET
bracis-28348	65	29	choice	choice	NOUN
bracis-28348	65	30	of	of	ADP
bracis-28348	65	31	data	datum	NOUN
bracis-28348	65	32	separated	separate	VERB
bracis-28348	65	33	by	by	ADP
bracis-28348	65	34	regions	region	NOUN
bracis-28348	65	35	of	of	ADP
bracis-28348	65	36	low	low	ADJ
bracis-28348	65	37	density	density	NOUN
bracis-28348	65	38	for	for	ADP
bracis-28348	65	39	the	the	DET
bracis-28348	65	40	same	same	ADJ
bracis-28348	65	41	db	db	NOUN
bracis-28348	65	42	.	.	PUNCT
bracis-28348	66	1	recently	recently	ADV
bracis-28348	66	2	,	,	PUNCT
bracis-28348	66	3	dbs	dbs	PROPN
bracis-28348	66	4	have	have	AUX
bracis-28348	66	5	been	be	AUX
bracis-28348	66	6	used	use	VERB
bracis-28348	66	7	as	as	ADP
bracis-28348	66	8	summary	summary	NOUN
bracis-28348	66	9	frameworks	framework	NOUN
bracis-28348	66	10	along	along	ADP
bracis-28348	66	11	with	with	ADP
bracis-28348	66	12	framework	framework	NOUN
bracis-28348	66	13	mapreduce	mapreduce	NOUN
bracis-28348	66	14	for	for	ADP
bracis-28348	66	15	data	datum	NOUN
bracis-28348	66	16	summarization	summarization	NOUN
bracis-28348	66	17	and	and	CCONJ
bracis-28348	66	18	[	[	X
bracis-28348	66	19	20	20	NUM
bracis-28348	66	20	]	]	PUNCT
bracis-28348	66	21	scalability	scalability	NOUN
bracis-28348	66	22	.	.	PUNCT
bracis-28348	67	1	they	they	PRON
bracis-28348	67	2	were	be	AUX
bracis-28348	67	3	applied	apply	VERB
bracis-28348	67	4	to	to	PART
bracis-28348	67	5	enable	enable	VERB
bracis-28348	67	6	the	the	DET
bracis-28348	67	7	scalable	scalable	ADJ
bracis-28348	67	8	version	version	NOUN
bracis-28348	67	9	of	of	ADP
bracis-28348	67	10	hdbscan	hdbscan	PROPN
bracis-28348	67	11	*	*	PUNCT
bracis-28348	68	1	[	[	X
bracis-28348	68	2	6	6	NUM
bracis-28348	68	3	]	]	PUNCT
bracis-28348	68	4	to	to	PART
bracis-28348	68	5	summarize	summarize	VERB
bracis-28348	68	6	data	datum	NOUN
bracis-28348	68	7	(	(	PUNCT
bracis-28348	68	8	and	and	CCONJ
bracis-28348	68	9	even	even	ADV
bracis-28348	68	10	other	other	ADJ
bracis-28348	68	11	dbs	dbs	PROPN
bracis-28348	68	12	)	)	PUNCT
bracis-28348	68	13	into	into	ADP
bracis-28348	68	14	a	a	DET
bracis-28348	68	15	hierarchy	hierarchy	NOUN
bracis-28348	68	16	of	of	ADP
bracis-28348	68	17	clusters	cluster	NOUN
bracis-28348	68	18	by	by	ADP
bracis-28348	68	19	density	density	NOUN
bracis-28348	68	20	.	.	PUNCT
bracis-28348	69	1	this	this	DET
bracis-28348	69	2	approach	approach	NOUN
bracis-28348	69	3	is	be	AUX
bracis-28348	69	4	similar	similar	ADJ
bracis-28348	69	5	to	to	ADP
bracis-28348	69	6	the	the	DET
bracis-28348	69	7	one	one	NOUN
bracis-28348	69	8	proposed	propose	VERB
bracis-28348	69	9	in	in	ADP
bracis-28348	69	10	this	this	DET
bracis-28348	69	11	article	article	NOUN
bracis-28348	69	12	,	,	PUNCT
bracis-28348	69	13	as	as	SCONJ
bracis-28348	69	14	it	it	PRON
bracis-28348	69	15	enables	enable	VERB
bracis-28348	69	16	the	the	DET
bracis-28348	69	17	application	application	NOUN
bracis-28348	69	18	of	of	ADP
bracis-28348	69	19	a	a	DET
bracis-28348	69	20	hierarchical	hierarchical	ADJ
bracis-28348	69	21	algorithm	algorithm	NOUN
bracis-28348	69	22	based	base	VERB
bracis-28348	69	23	on	on	ADP
bracis-28348	69	24	density	density	NOUN
bracis-28348	69	25	over	over	ADP
bracis-28348	69	26	large	large	ADJ
bracis-28348	69	27	amounts	amount	NOUN
bracis-28348	69	28	of	of	ADP
bracis-28348	69	29	data	datum	NOUN
bracis-28348	69	30	.	.	PUNCT
bracis-28348	70	1	however	however	ADV
bracis-28348	70	2	,	,	PUNCT
bracis-28348	70	3	unlike	unlike	ADP
bracis-28348	70	4	the	the	DET
bracis-28348	70	5	approach	approach	NOUN
bracis-28348	70	6	used	use	VERB
bracis-28348	70	7	in	in	ADP
bracis-28348	70	8	[	[	X
bracis-28348	70	9	6	6	NUM
bracis-28348	70	10	]	]	PUNCT
bracis-28348	70	11	,	,	PUNCT
bracis-28348	70	12	our	our	PRON
bracis-28348	70	13	work	work	NOUN
bracis-28348	70	14	considers	consider	VERB
bracis-28348	70	15	the	the	DET
bracis-28348	70	16	summarization	summarization	NOUN
bracis-28348	70	17	of	of	ADP
bracis-28348	70	18	a	a	DET
bracis-28348	70	19	structure	structure	NOUN
bracis-28348	70	20	that	that	PRON
bracis-28348	70	21	results	result	VERB
bracis-28348	70	22	in	in	ADP
bracis-28348	70	23	multiple	multiple	ADJ
bracis-28348	70	24	hierarchies	hierarchy	NOUN
bracis-28348	70	25	with	with	ADP
bracis-28348	70	26	different	different	ADJ
bracis-28348	70	27	densities	density	NOUN
bracis-28348	70	28	and	and	CCONJ
bracis-28348	70	29	not	not	PART
bracis-28348	70	30	just	just	ADV
bracis-28348	70	31	a	a	DET
bracis-28348	70	32	single	single	ADJ
bracis-28348	70	33	one	one	NOUN
bracis-28348	70	34	,	,	PUNCT
bracis-28348	70	35	which	which	PRON
bracis-28348	70	36	is	be	AUX
bracis-28348	70	37	quite	quite	ADV
bracis-28348	70	38	advantageous	advantageous	ADJ
bracis-28348	70	39	when	when	SCONJ
bracis-28348	70	40	one	one	PRON
bracis-28348	70	41	does	do	AUX
bracis-28348	70	42	not	not	PART
bracis-28348	70	43	have	have	VERB
bracis-28348	70	44	prior	prior	ADJ
bracis-28348	70	45	knowledge	knowledge	NOUN
bracis-28348	70	46	of	of	ADP
bracis-28348	70	47	the	the	DET
bracis-28348	70	48	fittest	fit	ADJ
bracis-28348	70	49	values	value	NOUN
bracis-28348	70	50	of	of	ADP
bracis-28348	70	51	the	the	DET
bracis-28348	70	52	density	density	NOUN
bracis-28348	70	53	parameters	parameter	NOUN
bracis-28348	70	54	.	.	PUNCT
bracis-28348	71	1	3	3	NUM
bracis-28348	71	2	proposed	propose	VERB
bracis-28348	71	3	method	method	NOUN
bracis-28348	71	4	our	our	PRON
bracis-28348	71	5	proposal	proposal	NOUN
bracis-28348	71	6	is	be	AUX
bracis-28348	71	7	divided	divide	VERB
bracis-28348	71	8	into	into	ADP
bracis-28348	71	9	two	two	NUM
bracis-28348	71	10	steps	step	NOUN
bracis-28348	71	11	:	:	PUNCT
bracis-28348	71	12	summarizing	summarize	VERB
bracis-28348	71	13	the	the	DET
bracis-28348	71	14	data	datum	NOUN
bracis-28348	71	15	and	and	CCONJ
bracis-28348	71	16	obtaining	obtain	VERB
bracis-28348	71	17	hierarchies	hierarchy	NOUN
bracis-28348	71	18	with	with	ADP
bracis-28348	71	19	multiple	multiple	ADJ
bracis-28348	71	20	densities	density	NOUN
bracis-28348	71	21	.	.	PUNCT
bracis-28348	72	1	the	the	DET
bracis-28348	72	2	original	original	ADJ
bracis-28348	72	3	db	db	X
bracis-28348	72	4	[	[	X
bracis-28348	72	5	4	4	NUM
bracis-28348	72	6	]	]	PUNCT
bracis-28348	72	7	uses	use	VERB
bracis-28348	72	8	the	the	DET
bracis-28348	72	9	parameter	parameter	NOUN
bracis-28348	72	10	\(\epsilon	\(\epsilon	NOUN
bracis-28348	72	11	\	\	PROPN
bracis-28348	72	12	)	)	PUNCT
bracis-28348	72	13	,	,	PUNCT
bracis-28348	72	14	which	which	PRON
bracis-28348	72	15	is	be	AUX
bracis-28348	72	16	incompatible	incompatible	ADJ
bracis-28348	72	17	with	with	ADP
bracis-28348	72	18	hdbscan	hdbscan	PROPN
bracis-28348	72	19	*	*	NOUN
bracis-28348	72	20	and	and	CCONJ
bracis-28348	72	21	core	core	PROPN
bracis-28348	72	22	-	-	PUNCT
bracis-28348	72	23	sg	sg	PROPN
bracis-28348	72	24	.	.	PUNCT
bracis-28348	73	1	therefore	therefore	ADV
bracis-28348	73	2	,	,	PUNCT
bracis-28348	73	3	we	we	PRON
bracis-28348	73	4	propose	propose	VERB
bracis-28348	73	5	an	an	DET
bracis-28348	73	6	adaptation	adaptation	NOUN
bracis-28348	73	7	and	and	CCONJ
bracis-28348	73	8	new	new	ADJ
bracis-28348	73	9	definitions	definition	NOUN
bracis-28348	73	10	to	to	PART
bracis-28348	73	11	enable	enable	VERB
bracis-28348	73	12	the	the	DET
bracis-28348	73	13	joint	joint	ADJ
bracis-28348	73	14	application	application	NOUN
bracis-28348	73	15	of	of	ADP
bracis-28348	73	16	db	db	PROPN
bracis-28348	73	17	and	and	CCONJ
bracis-28348	73	18	core	core	PROPN
bracis-28348	73	19	-	-	PUNCT
bracis-28348	73	20	sg	sg	PROPN
bracis-28348	73	21	.	.	PROPN
bracis-28348	73	22	3.1	3.1	NUM
bracis-28348	73	23	density	density	NOUN
bracis-28348	73	24	-	-	PUNCT
bracis-28348	73	25	based	base	VERB
bracis-28348	73	26	summarization	summarization	NOUN
bracis-28348	73	27	given	give	VERB
bracis-28348	73	28	a	a	DET
bracis-28348	73	29	dataset	dataset	NOUN
bracis-28348	73	30	x	x	NOUN
bracis-28348	73	31	with	with	ADP
bracis-28348	73	32	n	n	NOUN
bracis-28348	73	33	objects	object	NOUN
bracis-28348	73	34	of	of	ADP
bracis-28348	73	35	d	d	PROPN
bracis-28348	73	36	dimensions	dimension	NOUN
bracis-28348	73	37	,	,	PUNCT
bracis-28348	73	38	an	an	DET
bracis-28348	73	39	integer	integer	NOUN
bracis-28348	73	40	value	value	NOUN
bracis-28348	73	41	for	for	ADP
bracis-28348	73	42	the	the	DET
bracis-28348	73	43	density	density	NOUN
bracis-28348	73	44	parameter	parameter	NOUN
bracis-28348	73	45	minpts	minpt	NOUN
bracis-28348	73	46	that	that	PRON
bracis-28348	73	47	defines	define	VERB
bracis-28348	73	48	the	the	DET
bracis-28348	73	49	number	number	NOUN
bracis-28348	73	50	of	of	ADP
bracis-28348	73	51	neighbors	neighbor	NOUN
bracis-28348	73	52	needed	need	VERB
bracis-28348	73	53	for	for	ADP
bracis-28348	73	54	an	an	DET
bracis-28348	73	55	object	object	NOUN
bracis-28348	73	56	to	to	PART
bracis-28348	73	57	be	be	AUX
bracis-28348	73	58	considered	consider	VERB
bracis-28348	73	59	core	core	NOUN
bracis-28348	73	60	,	,	PUNCT
bracis-28348	73	61	our	our	PRON
bracis-28348	73	62	method	method	NOUN
bracis-28348	73	63	starts	start	VERB
bracis-28348	73	64	by	by	ADP
bracis-28348	73	65	applying	apply	VERB
bracis-28348	73	66	a	a	DET
bracis-28348	73	67	o(n	o(n	NOUN
bracis-28348	73	68	)	)	PUNCT
bracis-28348	73	69	computational	computational	ADJ
bracis-28348	73	70	complexity	complexity	NOUN
bracis-28348	73	71	method	method	NOUN
bracis-28348	73	72	to	to	PART
bracis-28348	73	73	divide	divide	VERB
bracis-28348	73	74	x	x	PUNCT
bracis-28348	73	75	into	into	ADP
bracis-28348	73	76	m	m	PROPN
bracis-28348	73	77	subsets	subset	NOUN
bracis-28348	73	78	,	,	PUNCT
bracis-28348	73	79	where	where	SCONJ
bracis-28348	73	80	\(m	\(m	NOUN
bracis-28348	73	81	<	<	X
bracis-28348	73	82	<	<	X
bracis-28348	73	83	n\	n\	NOUN
bracis-28348	73	84	)	)	PUNCT
bracis-28348	73	85	.	.	PUNCT
bracis-28348	74	1	clustering	cluster	VERB
bracis-28348	74	2	into	into	ADP
bracis-28348	74	3	m	m	PROPN
bracis-28348	74	4	in	in	ADP
bracis-28348	74	5	subsets	subset	NOUN
bracis-28348	74	6	can	can	AUX
bracis-28348	74	7	be	be	AUX
bracis-28348	74	8	adopted	adopt	VERB
bracis-28348	74	9	in	in	ADP
bracis-28348	74	10	this	this	DET
bracis-28348	74	11	step	step	NOUN
bracis-28348	74	12	or	or	CCONJ
bracis-28348	74	13	a	a	DET
bracis-28348	74	14	guided	guide	VERB
bracis-28348	74	15	initialization	initialization	NOUN
bracis-28348	74	16	[	[	X
bracis-28348	74	17	25	25	NUM
bracis-28348	74	18	]	]	PUNCT
bracis-28348	74	19	.	.	PUNCT
bracis-28348	75	1	definition	definition	NOUN
bracis-28348	75	2	1	1	NUM
bracis-28348	75	3	data	data	NOUN
bracis-28348	75	4	bubbles	bubble	NOUN
bracis-28348	75	5	:	:	PUNCT
bracis-28348	75	6	the	the	DET
bracis-28348	75	7	data	datum	NOUN
bracis-28348	75	8	subset	subset	VERB
bracis-28348	75	9	\(x_i	\(x_i	PROPN
bracis-28348	75	10	\subseteq	\subseteq	PROPN
bracis-28348	75	11	x\	x\	NOUN
bracis-28348	75	12	)	)	PUNCT
bracis-28348	75	13	summarized	summarize	VERB
bracis-28348	75	14	in	in	ADP
bracis-28348	75	15	a	a	DET
bracis-28348	75	16	db	db	PROPN
bracis-28348	75	17	which	which	PRON
bracis-28348	75	18	is	be	AUX
bracis-28348	75	19	defined	define	VERB
bracis-28348	75	20	as	as	ADP
bracis-28348	75	21	a	a	DET
bracis-28348	75	22	tuple	tuple	NOUN
bracis-28348	75	23	\(b_i	\(b_i	NOUN
bracis-28348	75	24	=	=	SYM
bracis-28348	75	25	(	(	PUNCT
bracis-28348	75	26	rep_i	rep_i	PROPN
bracis-28348	75	27	,	,	PUNCT
bracis-28348	75	28	n_i	n_i	X
bracis-28348	75	29	,	,	PUNCT
bracis-28348	75	30	extent_i	extent_i	NOUN
bracis-28348	75	31	,	,	PUNCT
bracis-28348	75	32	nndist_i)\	nndist_i)\	NOUN
bracis-28348	75	33	)	)	PUNCT
bracis-28348	75	34	,	,	PUNCT
bracis-28348	75	35	where	where	SCONJ
bracis-28348	75	36	\(rep_i\	\(rep_i\	NOUN
bracis-28348	75	37	)	)	PUNCT
bracis-28348	75	38	is	be	AUX
bracis-28348	75	39	the	the	DET
bracis-28348	75	40	position	position	NOUN
bracis-28348	75	41	of	of	ADP
bracis-28348	75	42	the	the	DET
bracis-28348	75	43	representative	representative	NOUN
bracis-28348	75	44	of	of	ADP
bracis-28348	75	45	\(x_i	\(x_i	PROPN
bracis-28348	75	46	\	\	NOUN
bracis-28348	75	47	)	)	PUNCT
bracis-28348	75	48	,	,	PUNCT
bracis-28348	75	49	\(n_i\	\(n_i\	PROPN
bracis-28348	75	50	)	)	PUNCT
bracis-28348	75	51	is	be	AUX
bracis-28348	75	52	the	the	DET
bracis-28348	75	53	\(|x_i|\	\(|x_i|\	NOUN
bracis-28348	75	54	)	)	PUNCT
bracis-28348	75	55	cardinality	cardinality	NOUN
bracis-28348	75	56	,	,	PUNCT
bracis-28348	75	57	\(extent_i\	\(extent_i\	NOUN
bracis-28348	75	58	)	)	PUNCT
bracis-28348	75	59	is	be	AUX
bracis-28348	75	60	a	a	DET
bracis-28348	75	61	natural	natural	ADJ
bracis-28348	75	62	number	number	NOUN
bracis-28348	75	63	that	that	PRON
bracis-28348	75	64	defines	define	VERB
bracis-28348	75	65	an	an	DET
bracis-28348	75	66	extended	extended	ADJ
bracis-28348	75	67	radius	radius	NOUN
bracis-28348	75	68	around	around	ADP
bracis-28348	75	69	the	the	DET
bracis-28348	75	70	\(rep_i\	\(rep_i\	NOUN
bracis-28348	75	71	)	)	PUNCT
bracis-28348	75	72	that	that	PRON
bracis-28348	75	73	contains	contain	VERB
bracis-28348	75	74	most	most	ADJ
bracis-28348	75	75	objects	object	NOUN
bracis-28348	75	76	of	of	ADP
bracis-28348	75	77	\(x_i\	\(x_i\	NOUN
bracis-28348	75	78	)	)	PUNCT
bracis-28348	75	79	,	,	PUNCT
bracis-28348	75	80	and	and	CCONJ
bracis-28348	75	81	\(nndist_i\	\(nndist_i\	NOUN
bracis-28348	75	82	)	)	PUNCT
bracis-28348	75	83	is	be	AUX
bracis-28348	75	84	a	a	DET
bracis-28348	75	85	function	function	NOUN
bracis-28348	75	86	that	that	PRON
bracis-28348	75	87	given	give	VERB
bracis-28348	75	88	an	an	DET
bracis-28348	75	89	integer	integer	NOUN
bracis-28348	75	90	value	value	NOUN
bracis-28348	75	91	\(k	\(k	NOUN
bracis-28348	75	92	\le	\le	NOUN
bracis-28348	75	93	minpts	minpt	NOUN
bracis-28348	75	94	<	<	NOUN
bracis-28348	75	95	n_i\	n_i\	NOUN
bracis-28348	75	96	)	)	PUNCT
bracis-28348	75	97	that	that	PRON
bracis-28348	75	98	denotes	denote	VERB
bracis-28348	75	99	the	the	DET
bracis-28348	75	100	estimated	estimate	VERB
bracis-28348	75	101	average	average	ADJ
bracis-28348	75	102	distance	distance	NOUN
bracis-28348	75	103	of	of	ADP
bracis-28348	75	104	the	the	DET
bracis-28348	75	105	k	k	NOUN
bracis-28348	75	106	-	-	PUNCT
bracis-28348	75	107	nearest	near	ADJ
bracis-28348	75	108	neighbor	neighbor	NOUN
bracis-28348	75	109	within	within	ADP
bracis-28348	75	110	the	the	DET
bracis-28348	75	111	set	set	NOUN
bracis-28348	75	112	of	of	ADP
bracis-28348	75	113	objects	object	NOUN
bracis-28348	75	114	\(x_i\	\(x_i\	NOUN
bracis-28348	75	115	)	)	PUNCT
bracis-28348	75	116	.	.	PUNCT
bracis-28348	76	1	in	in	ADP
bracis-28348	76	2	a	a	DET
bracis-28348	76	3	euclidean	euclidean	ADJ
bracis-28348	76	4	space	space	NOUN
bracis-28348	76	5	,	,	PUNCT
bracis-28348	76	6	the	the	DET
bracis-28348	76	7	statistics	statistic	NOUN
bracis-28348	76	8	linear	linear	ADJ
bracis-28348	76	9	and	and	CCONJ
bracis-28348	76	10	quadratic	quadratic	ADJ
bracis-28348	76	11	sums	sum	NOUN
bracis-28348	76	12	of	of	ADP
bracis-28348	76	13	the	the	DET
bracis-28348	76	14	objects	object	NOUN
bracis-28348	76	15	in	in	ADP
bracis-28348	76	16	\(x_i\	\(x_i\	NOUN
bracis-28348	76	17	)	)	PUNCT
bracis-28348	76	18	,	,	PUNCT
bracis-28348	76	19	\(ls_i\	\(ls_i\	NOUN
bracis-28348	76	20	)	)	PUNCT
bracis-28348	76	21	,	,	PUNCT
bracis-28348	76	22	and	and	CCONJ
bracis-28348	76	23	\(ss_i\	\(ss_i\	NOUN
bracis-28348	76	24	)	)	PUNCT
bracis-28348	76	25	,	,	PUNCT
bracis-28348	76	26	respectively	respectively	ADV
bracis-28348	76	27	,	,	PUNCT
bracis-28348	76	28	can	can	AUX
bracis-28348	76	29	be	be	AUX
bracis-28348	76	30	used	use	VERB
bracis-28348	76	31	to	to	PART
bracis-28348	76	32	calculate	calculate	VERB
bracis-28348	76	33	the	the	DET
bracis-28348	76	34	characteristics	characteristic	NOUN
bracis-28348	76	35	of	of	ADP
bracis-28348	76	36	\(b_i\	\(b_i\	NOUN
bracis-28348	76	37	)	)	PUNCT
bracis-28348	76	38	.	.	PUNCT
bracis-28348	77	1	with	with	ADP
bracis-28348	77	2	these	these	DET
bracis-28348	77	3	statistics	statistic	NOUN
bracis-28348	77	4	,	,	PUNCT
bracis-28348	77	5	\(rep_i=\frac{ls_i}{n_i}\	\(rep_i=\frac{ls_i}{n_i}\	PROPN
bracis-28348	77	6	)	)	PUNCT
bracis-28348	77	7	,	,	PUNCT
bracis-28348	77	8	\(extent_i=\sqrt{\frac{2	\(extent_i=\sqrt{\frac{2	NOUN
bracis-28348	77	9	\cdot	\cdot	PROPN
bracis-28348	77	10	n_i	n_i	PUNCT
bracis-28348	77	11	\cdot	\cdot	NOUN
bracis-28348	77	12	ss_i	ss_i	ADV
bracis-28348	77	13	2	2	NUM
bracis-28348	77	14	\cdot	\cdot	NOUN
bracis-28348	77	15	ls^2_i}{n_i	ls^2_i}{n_i	NOUN
bracis-28348	77	16	\cdot	\cdot	NOUN
bracis-28348	77	17	(	(	PUNCT
bracis-28348	77	18	n_i	n_i	SYM
bracis-28348	77	19	1)}}\	1)}}\	NOUN
bracis-28348	77	20	)	)	PUNCT
bracis-28348	77	21	is	be	AUX
bracis-28348	77	22	calculated	calculate	VERB
bracis-28348	77	23	and	and	CCONJ
bracis-28348	77	24	the	the	DET
bracis-28348	77	25	expected	expect	VERB
bracis-28348	77	26	distance	distance	NOUN
bracis-28348	77	27	from	from	ADP
bracis-28348	77	28	the	the	DET
bracis-28348	77	29	k	k	NOUN
bracis-28348	77	30	-	-	PUNCT
bracis-28348	77	31	nearest	near	ADJ
bracis-28348	77	32	neighbor	neighbor	NOUN
bracis-28348	77	33	is	be	AUX
bracis-28348	77	34	\(nndist_i(k	\(nndist_i(k	PROPN
bracis-28348	77	35	)	)	PUNCT
bracis-28348	78	1	=	=	SYM
bracis-28348	78	2	(	(	PUNCT
bracis-28348	78	3	\frac{k}{n_i})^{\frac{1}{d	\frac{k}{n_i})^{\frac{1}{d	NOUN
bracis-28348	78	4	}	}	PUNCT
bracis-28348	78	5	}	}	PUNCT
bracis-28348	78	6	\cdot	\cdot	NOUN
bracis-28348	78	7	extension_i\	extension_i\	NOUN
bracis-28348	78	8	)	)	PUNCT
bracis-28348	78	9	.	.	PUNCT
bracis-28348	79	1	definition	definition	NOUN
bracis-28348	79	2	2	2	NUM
bracis-28348	79	3	distance	distance	NOUN
bracis-28348	79	4	between	between	ADP
bracis-28348	79	5	dbs	dbs	PROPN
bracis-28348	79	6	:	:	PUNCT
bracis-28348	79	7	if	if	SCONJ
bracis-28348	79	8	\(b_i\	\(b_i\	NOUN
bracis-28348	79	9	)	)	PUNCT
bracis-28348	79	10	and	and	CCONJ
bracis-28348	79	11	\(b_j\	\(b_j\	ADV
bracis-28348	79	12	)	)	PUNCT
bracis-28348	79	13	are	be	AUX
bracis-28348	79	14	two	two	NUM
bracis-28348	79	15	dbs	db	NOUN
bracis-28348	79	16	,	,	PUNCT
bracis-28348	79	17	the	the	DET
bracis-28348	79	18	direct	direct	ADJ
bracis-28348	79	19	distance	distance	NOUN
bracis-28348	79	20	between	between	ADP
bracis-28348	79	21	\(b_i\	\(b_i\	NOUN
bracis-28348	79	22	)	)	PUNCT
bracis-28348	79	23	and	and	CCONJ
bracis-28348	79	24	\(b_j\	\(b_j\	X
bracis-28348	79	25	)	)	PUNCT
bracis-28348	79	26	is	be	AUX
bracis-28348	79	27	defined	define	VERB
bracis-28348	79	28	as	as	ADP
bracis-28348	79	29	:	:	PUNCT
bracis-28348	79	30	$	$	SYM
bracis-28348	79	31	$	$	SYM
bracis-28348	79	32	\begin{aligned	\begin{aligne	VERB
bracis-28348	79	33	}	}	PUNCT
bracis-28348	79	34	dist(b_i	dist(b_i	PROPN
bracis-28348	79	35	,	,	PUNCT
bracis-28348	79	36	b_j)=	b_j)=	PROPN
bracis-28348	79	37	\left\	\left\	PROPN
bracis-28348	79	38	{	{	PUNCT
bracis-28348	79	39	\begin{array}{c	\begin{array}{c	PROPN
bracis-28348	79	40	}	}	PUNCT
bracis-28348	79	41	0,\	0,\	NOUN
bracis-28348	79	42	;	;	PUNCT
bracis-28348	79	43	if	if	SCONJ
bracis-28348	79	44	\;b_i	\;b_i	NOUN
bracis-28348	79	45	=	=	SYM
bracis-28348	79	46	b_j	b_j	NUM
bracis-28348	79	47	,	,	PUNCT
bracis-28348	79	48	\\	\\	NOUN
bracis-28348	79	49	\\	\\	NOUN
bracis-28348	79	50	dist(rep_i	dist(rep_i	PROPN
bracis-28348	79	51	,	,	PUNCT
bracis-28348	79	52	rep_j)-(extend_i	rep_j)-(extend_i	PROPN
bracis-28348	79	53	+	+	NUM
bracis-28348	79	54	extend_j	extend_j	NOUN
bracis-28348	79	55	)	)	PUNCT
bracis-28348	79	56	\\	\\	NOUN
bracis-28348	79	57	+	+	CCONJ
bracis-28348	79	58	nndist_i(1	nndist_i(1	PROPN
bracis-28348	79	59	)	)	PUNCT
bracis-28348	79	60	+	+	CCONJ
bracis-28348	79	61	nndist_j(1	nndist_j(1	NOUN
bracis-28348	79	62	)	)	PUNCT
bracis-28348	79	63	,	,	PUNCT
bracis-28348	79	64	\\	\\	NOUN
bracis-28348	79	65	\text	\text	ADV
bracis-28348	79	66	{	{	PUNCT
bracis-28348	79	67	if	if	SCONJ
bracis-28348	79	68	}	}	PUNCT
bracis-28348	79	69	dist(rep_i	dist(rep_i	PROPN
bracis-28348	79	70	,	,	PUNCT
bracis-28348	79	71	rep_j)-(extend_i	rep_j)-(extend_i	PROPN
bracis-28348	79	72	+	+	NUM
bracis-28348	79	73	extend_j	extend_j	NOUN
bracis-28348	79	74	)	)	PUNCT
bracis-28348	79	75	\ge	\ge	PROPN
bracis-28348	79	76	0	0	NUM
bracis-28348	79	77	,	,	PUNCT
bracis-28348	79	78	\\	\\	NOUN
bracis-28348	79	79	\\	\\	NOUN
bracis-28348	79	80	max(nndist_i(1	max(nndist_i(1	PROPN
bracis-28348	79	81	)	)	PUNCT
bracis-28348	79	82	,	,	PUNCT
bracis-28348	79	83	nndist_j(1)),\	nndist_j(1)),\	PROPN
bracis-28348	79	84	\text	\text	ADV
bracis-28348	79	85	{	{	PUNCT
bracis-28348	79	86	otherwise	otherwise	ADV
bracis-28348	79	87	}	}	PUNCT
bracis-28348	79	88	.	.	PUNCT
bracis-28348	80	1	\end{array	\end{array	ADJ
bracis-28348	80	2	}	}	PUNCT
bracis-28348	80	3	\right	\right	PROPN
bracis-28348	80	4	.	.	PROPN
bracis-28348	80	5	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28348	81	1	(	(	PUNCT
bracis-28348	81	2	1	1	NUM
bracis-28348	81	3	)	)	PUNCT
bracis-28348	81	4	in	in	ADP
bracis-28348	81	5	other	other	ADJ
bracis-28348	81	6	words	word	NOUN
bracis-28348	81	7	,	,	PUNCT
bracis-28348	81	8	if	if	SCONJ
bracis-28348	81	9	\(b_i	\(b_i	ADJ
bracis-28348	81	10	=	=	SYM
bracis-28348	81	11	b_j\	b_j\	NOUN
bracis-28348	81	12	)	)	PUNCT
bracis-28348	81	13	,	,	PUNCT
bracis-28348	81	14	their	their	PRON
bracis-28348	81	15	distance	distance	NOUN
bracis-28348	81	16	will	will	AUX
bracis-28348	81	17	be	be	AUX
bracis-28348	81	18	zero	zero	NUM
bracis-28348	81	19	.	.	PUNCT
bracis-28348	82	1	if	if	SCONJ
bracis-28348	82	2	they	they	PRON
bracis-28348	82	3	do	do	AUX
bracis-28348	82	4	not	not	PART
bracis-28348	82	5	overlap	overlap	VERB
bracis-28348	82	6	,	,	PUNCT
bracis-28348	82	7	their	their	PRON
bracis-28348	82	8	distance	distance	NOUN
bracis-28348	82	9	is	be	AUX
bracis-28348	82	10	given	give	VERB
bracis-28348	82	11	by	by	ADP
bracis-28348	82	12	the	the	DET
bracis-28348	82	13	distance	distance	NOUN
bracis-28348	82	14	between	between	ADP
bracis-28348	82	15	their	their	PRON
bracis-28348	82	16	representatives	representative	NOUN
bracis-28348	82	17	minus	minus	ADP
bracis-28348	82	18	their	their	PRON
bracis-28348	82	19	radii	radius	NOUN
bracis-28348	82	20	plus	plus	CCONJ
bracis-28348	82	21	their	their	PRON
bracis-28348	82	22	expected	expect	VERB
bracis-28348	82	23	distances	distance	NOUN
bracis-28348	82	24	to	to	ADP
bracis-28348	82	25	the	the	DET
bracis-28348	82	26	nearest	near	ADJ
bracis-28348	82	27	neighbor	neighbor	NOUN
bracis-28348	82	28	.	.	PUNCT
bracis-28348	83	1	finally	finally	ADV
bracis-28348	83	2	,	,	PUNCT
bracis-28348	83	3	if	if	SCONJ
bracis-28348	83	4	the	the	DET
bracis-28348	83	5	dbs	dbs	NOUN
bracis-28348	83	6	overlap	overlap	NOUN
bracis-28348	83	7	,	,	PUNCT
bracis-28348	83	8	the	the	DET
bracis-28348	83	9	distance	distance	NOUN
bracis-28348	83	10	is	be	AUX
bracis-28348	83	11	the	the	DET
bracis-28348	83	12	maximum	maximum	NOUN
bracis-28348	83	13	between	between	ADP
bracis-28348	83	14	their	their	PRON
bracis-28348	83	15	expected	expect	VERB
bracis-28348	83	16	nearest	near	ADJ
bracis-28348	83	17	neighbor	neighbor	NOUN
bracis-28348	83	18	distances	distance	NOUN
bracis-28348	83	19	.	.	PUNCT
bracis-28348	84	1	the	the	DET
bracis-28348	84	2	described	describe	VERB
bracis-28348	84	3	cases	case	NOUN
bracis-28348	84	4	are	be	AUX
bracis-28348	84	5	illustrated	illustrate	VERB
bracis-28348	84	6	in	in	ADP
bracis-28348	84	7	fig	fig	NOUN
bracis-28348	84	8	.	.	PUNCT
bracis-28348	84	9	 	 	SPACE
bracis-28348	85	1	1	1	NUM
bracis-28348	85	2	.	.	PUNCT
bracis-28348	85	3	fig	fig	NOUN
bracis-28348	85	4	.	.	PUNCT
bracis-28348	86	1	1	1	NUM
bracis-28348	86	2	.	.	X
bracis-28348	86	3	distance	distance	NOUN
bracis-28348	86	4	between	between	ADP
bracis-28348	86	5	data	datum	NOUN
bracis-28348	86	6	bubbles	bubble	NOUN
bracis-28348	86	7	[	[	X
bracis-28348	86	8	4	4	NUM
bracis-28348	86	9	]	]	PUNCT
bracis-28348	86	10	.	.	PUNCT
bracis-28348	87	1	full	full	ADJ
bracis-28348	87	2	size	size	NOUN
bracis-28348	87	3	image	image	NOUN
bracis-28348	87	4	definition	definition	NOUN
bracis-28348	87	5	3	3	NUM
bracis-28348	87	6	core	core	NOUN
bracis-28348	87	7	distance	distance	NOUN
bracis-28348	87	8	from	from	ADP
bracis-28348	87	9	a	a	DET
bracis-28348	87	10	db	db	NOUN
bracis-28348	87	11	:	:	PUNCT
bracis-28348	87	12	given	give	VERB
bracis-28348	87	13	a	a	DET
bracis-28348	87	14	value	value	NOUN
bracis-28348	87	15	of	of	ADP
bracis-28348	87	16	\(minpts	\(minpt	NOUN
bracis-28348	87	17	<	<	X
bracis-28348	87	18	n\	n\	NOUN
bracis-28348	87	19	)	)	PUNCT
bracis-28348	87	20	,	,	PUNCT
bracis-28348	87	21	the	the	DET
bracis-28348	87	22	function	function	NOUN
bracis-28348	87	23	\(nn(b_i	\(nn(b_i	NOUN
bracis-28348	87	24	,	,	PUNCT
bracis-28348	87	25	k)\	k)\	NOUN
bracis-28348	87	26	)	)	PUNCT
bracis-28348	87	27	that	that	PRON
bracis-28348	87	28	returns	return	VERB
bracis-28348	87	29	the	the	DET
bracis-28348	87	30	k	k	NOUN
bracis-28348	87	31	-	-	PUNCT
bracis-28348	87	32	th	th	X
bracis-28348	87	33	closest	close	ADJ
bracis-28348	87	34	db	db	X
bracis-28348	87	35	to	to	ADP
bracis-28348	87	36	\(b_i\	\(b_i\	PROPN
bracis-28348	87	37	)	)	PUNCT
bracis-28348	87	38	or	or	CCONJ
bracis-28348	87	39	\(b_i\	\(b_i\	NOUN
bracis-28348	87	40	)	)	PUNCT
bracis-28348	87	41	if	if	SCONJ
bracis-28348	87	42	\(k=0\	\(k=0\	NOUN
bracis-28348	87	43	)	)	PUNCT
bracis-28348	87	44	,	,	PUNCT
bracis-28348	87	45	a	a	DET
bracis-28348	87	46	function	function	NOUN
bracis-28348	87	47	that	that	PRON
bracis-28348	87	48	returns	return	VERB
bracis-28348	87	49	the	the	DET
bracis-28348	87	50	minimum	minimum	ADJ
bracis-28348	87	51	number	number	NOUN
bracis-28348	87	52	of	of	ADP
bracis-28348	87	53	neighbors	neighbor	NOUN
bracis-28348	87	54	of	of	ADP
bracis-28348	87	55	\(b_i\	\(b_i\	NOUN
bracis-28348	87	56	)	)	PUNCT
bracis-28348	87	57	needed	need	VERB
bracis-28348	87	58	to	to	PART
bracis-28348	87	59	summarize	summarize	VERB
bracis-28348	87	60	minpts	minpt	NOUN
bracis-28348	87	61	objects	object	NOUN
bracis-28348	87	62	,	,	PUNCT
bracis-28348	87	63	i.e.	i.e.	X
bracis-28348	87	64	,	,	PUNCT
bracis-28348	87	65	\(snn(b_i	\(snn(b_i	NOUN
bracis-28348	87	66	,	,	PUNCT
bracis-28348	87	67	minpts	minpt	NOUN
bracis-28348	87	68	)	)	PUNCT
bracis-28348	87	69	=	=	PUNCT
bracis-28348	87	70	\arg	\arg	ADP
bracis-28348	87	71	\min	\min	NOUN
bracis-28348	87	72	_	_	PUNCT
bracis-28348	87	73	k	k	X
bracis-28348	87	74	\sum	\sum	NOUN
bracis-28348	87	75	_	_	PUNCT
bracis-28348	87	76	{	{	PUNCT
bracis-28348	87	77	j=0}^k	j=0}^k	PROPN
bracis-28348	87	78	n_j	n_j	PUNCT
bracis-28348	87	79	\ge	\ge	PROPN
bracis-28348	87	80	minpts	minpt	NOUN
bracis-28348	87	81	\,|\	\,|\	NOUN
bracis-28348	87	82	)	)	PUNCT
bracis-28348	88	1	\	\	PROPN
bracis-28348	88	2	(	(	PUNCT
bracis-28348	88	3	b_j	b_j	PUNCT
bracis-28348	88	4	=	=	SYM
bracis-28348	88	5	nn(b_i	nn(b_i	NOUN
bracis-28348	88	6	,	,	PUNCT
bracis-28348	88	7	j)\	j)\	NUM
bracis-28348	88	8	)	)	PUNCT
bracis-28348	88	9	,	,	PUNCT
bracis-28348	88	10	the	the	DET
bracis-28348	88	11	core	core	NOUN
bracis-28348	88	12	distance	distance	NOUN
bracis-28348	88	13	of	of	ADP
bracis-28348	88	14	\(b_i\	\(b_i\	NOUN
bracis-28348	88	15	)	)	PUNCT
bracis-28348	88	16	is	be	AUX
bracis-28348	88	17	:	:	PUNCT
bracis-28348	88	18	$	$	SYM
bracis-28348	88	19	$	$	SYM
bracis-28348	88	20	\begin{aligned	\begin{aligne	VERB
bracis-28348	88	21	}	}	PUNCT
bracis-28348	88	22	core_{minpts}(b_{i})=	core_{minpts}(b_{i})=	VERB
bracis-28348	88	23	\left\	\left\	PROPN
bracis-28348	88	24	{	{	PUNCT
bracis-28348	88	25	\begin{array}{c	\begin{array}{c	PROPN
bracis-28348	88	26	}	}	PUNCT
bracis-28348	88	27	nndist_i(minpts),\	nndist_i(minpts),\	NOUN
bracis-28348	88	28	;	;	PUNCT
bracis-28348	88	29	if	if	SCONJ
bracis-28348	88	30	\	\	NOUN
bracis-28348	88	31	,	,	PUNCT
bracis-28348	88	32	snn(b_i	snn(b_i	NOUN
bracis-28348	88	33	,	,	PUNCT
bracis-28348	88	34	minpts	minpt	NOUN
bracis-28348	88	35	)	)	PUNCT
bracis-28348	88	36	=	=	SYM
bracis-28348	88	37	0	0	NUM
bracis-28348	88	38	\\	\\	NOUN
bracis-28348	88	39	\\	\\	PROPN
bracis-28348	88	40	dist(rep_i	dist(rep_i	PROPN
bracis-28348	88	41	,	,	PUNCT
bracis-28348	88	42	rep_k	rep_k	NOUN
bracis-28348	88	43	)	)	PUNCT
bracis-28348	88	44	extend_k	extend_k	VERB
bracis-28348	88	45	+	+	NUM
bracis-28348	88	46	\\	\\	NOUN
bracis-28348	88	47	nndist_k(minpts	nndist_k(minpt	VERB
bracis-28348	88	48	\sum	\sum	NOUN
bracis-28348	88	49	_	_	PUNCT
bracis-28348	88	50	{	{	PUNCT
bracis-28348	88	51	l=0}^{k-1	l=0}^{k-1	ADJ
bracis-28348	88	52	}	}	PUNCT
bracis-28348	88	53	n_l|b_l	n_l|b_l	NOUN
bracis-28348	88	54	=	=	SYM
bracis-28348	88	55	nn(b_i	nn(b_i	PROPN
bracis-28348	88	56	,	,	PUNCT
bracis-28348	88	57	l	l	NOUN
bracis-28348	88	58	)	)	PUNCT
bracis-28348	88	59	)	)	PUNCT
bracis-28348	88	60	,	,	PUNCT
bracis-28348	88	61	\text	\text	ADP
bracis-28348	88	62	{	{	PUNCT
bracis-28348	88	63	otherwise	otherwise	ADV
bracis-28348	88	64	}	}	PUNCT
bracis-28348	88	65	\end{array	\end{array	ADJ
bracis-28348	88	66	}	}	PUNCT
bracis-28348	88	67	\right	\right	PROPN
bracis-28348	88	68	.	.	PROPN
bracis-28348	88	69	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28348	89	1	(	(	PUNCT
bracis-28348	89	2	2	2	NUM
bracis-28348	89	3	)	)	PUNCT
bracis-28348	89	4	where	where	SCONJ
bracis-28348	89	5	\(b_k	\(b_k	NOUN
bracis-28348	89	6	=	=	SYM
bracis-28348	89	7	nn(b_i	nn(b_i	X
bracis-28348	89	8	,	,	PUNCT
bracis-28348	89	9	snn(b_i	snn(b_i	NOUN
bracis-28348	89	10	,	,	PUNCT
bracis-28348	89	11	minpts))\	minpts))\	PROPN
bracis-28348	89	12	)	)	PUNCT
bracis-28348	89	13	is	be	AUX
bracis-28348	89	14	the	the	DET
bracis-28348	89	15	kth	kth	PROPN
bracis-28348	89	16	nearest	near	ADJ
bracis-28348	89	17	neighbor	neighbor	NOUN
bracis-28348	89	18	of	of	ADP
bracis-28348	89	19	\(b_i\	\(b_i\	NOUN
bracis-28348	89	20	)	)	PUNCT
bracis-28348	89	21	.	.	PUNCT
bracis-28348	90	1	the	the	DET
bracis-28348	90	2	core	core	NOUN
bracis-28348	90	3	distance	distance	NOUN
bracis-28348	90	4	is	be	AUX
bracis-28348	90	5	the	the	DET
bracis-28348	90	6	minimum	minimum	ADJ
bracis-28348	90	7	distance	distance	NOUN
bracis-28348	90	8	from	from	ADP
bracis-28348	90	9	a	a	DET
bracis-28348	90	10	db	db	PROPN
bracis-28348	90	11	that	that	SCONJ
bracis-28348	90	12	summarizes	summarize	NOUN
bracis-28348	90	13	at	at	ADP
bracis-28348	90	14	least	least	ADJ
bracis-28348	90	15	minpts	minpt	NOUN
bracis-28348	90	16	objects	object	NOUN
bracis-28348	90	17	.	.	PUNCT
bracis-28348	91	1	it	it	PRON
bracis-28348	91	2	is	be	AUX
bracis-28348	91	3	important	important	ADJ
bracis-28348	91	4	to	to	PART
bracis-28348	91	5	point	point	VERB
bracis-28348	91	6	out	out	ADP
bracis-28348	91	7	that	that	SCONJ
bracis-28348	91	8	\(core_{a}(b_{i	\(core_{a}(b_{i	ADV
bracis-28348	91	9	}	}	PUNCT
bracis-28348	91	10	)	)	PUNCT
bracis-28348	91	11	\ge	\ge	PROPN
bracis-28348	91	12	core_{b}(b_{i	core_{b}(b_{i	PROPN
bracis-28348	91	13	}	}	PUNCT
bracis-28348	91	14	)	)	PUNCT
bracis-28348	92	1	\	\	NOUN
bracis-28348	92	2	;	;	PUNCT
bracis-28348	92	3	\forall	\forall	DET
bracis-28348	92	4	\	\	PROPN
bracis-28348	92	5	;	;	PUNCT
bracis-28348	92	6	a	a	DET
bracis-28348	92	7	\ge	\ge	NOUN
bracis-28348	92	8	b\	b\	NOUN
bracis-28348	92	9	)	)	PUNCT
bracis-28348	92	10	,	,	PUNCT
bracis-28348	92	11	i.e.	i.e.	X
bracis-28348	92	12	,	,	PUNCT
bracis-28348	92	13	increasing	increase	VERB
bracis-28348	92	14	the	the	DET
bracis-28348	92	15	value	value	NOUN
bracis-28348	92	16	of	of	ADP
bracis-28348	92	17	minpts	minpt	NOUN
bracis-28348	92	18	can	can	AUX
bracis-28348	92	19	not	not	PART
bracis-28348	92	20	reduce	reduce	VERB
bracis-28348	92	21	the	the	DET
bracis-28348	92	22	core	core	NOUN
bracis-28348	92	23	distance	distance	NOUN
bracis-28348	92	24	of	of	ADP
bracis-28348	92	25	a	a	DET
bracis-28348	92	26	db	db	NOUN
bracis-28348	92	27	.	.	PUNCT
bracis-28348	93	1	we	we	PRON
bracis-28348	93	2	can	can	AUX
bracis-28348	93	3	calculate	calculate	VERB
bracis-28348	93	4	the	the	DET
bracis-28348	93	5	reachability	reachability	NOUN
bracis-28348	93	6	distances	distance	NOUN
bracis-28348	93	7	used	use	VERB
bracis-28348	93	8	in	in	ADP
bracis-28348	93	9	density	density	NOUN
bracis-28348	93	10	estimates	estimate	NOUN
bracis-28348	93	11	using	use	VERB
bracis-28348	93	12	the	the	DET
bracis-28348	93	13	distance	distance	NOUN
bracis-28348	93	14	between	between	ADP
bracis-28348	93	15	two	two	NUM
bracis-28348	93	16	dbs	db	NOUN
bracis-28348	93	17	and	and	CCONJ
bracis-28348	93	18	their	their	PRON
bracis-28348	93	19	core	core	NOUN
bracis-28348	93	20	distances	distance	NOUN
bracis-28348	93	21	.	.	PUNCT
bracis-28348	94	1	definition	definition	NOUN
bracis-28348	94	2	4	4	NUM
bracis-28348	94	3	mutual	mutual	ADJ
bracis-28348	94	4	reachability	reachability	NOUN
bracis-28348	94	5	distance	distance	NOUN
bracis-28348	94	6	(	(	PUNCT
bracis-28348	94	7	mrd	mrd	PROPN
bracis-28348	94	8	)	)	PUNCT
bracis-28348	94	9	between	between	ADP
bracis-28348	94	10	dbs	dbs	PROPN
bracis-28348	94	11	:	:	PUNCT
bracis-28348	94	12	given	give	VERB
bracis-28348	94	13	the	the	DET
bracis-28348	94	14	dbs	dbs	ADJ
bracis-28348	94	15	\(b_i\	\(b_i\	PROPN
bracis-28348	94	16	)	)	PUNCT
bracis-28348	94	17	and	and	CCONJ
bracis-28348	94	18	\(b_j\	\(b_j\	ADJ
bracis-28348	94	19	)	)	PUNCT
bracis-28348	94	20	,	,	PUNCT
bracis-28348	94	21	the	the	DET
bracis-28348	94	22	minimum	minimum	ADJ
bracis-28348	94	23	number	number	NOUN
bracis-28348	94	24	of	of	ADP
bracis-28348	94	25	objects	object	NOUN
bracis-28348	94	26	minpts	minpt	NOUN
bracis-28348	94	27	,	,	PUNCT
bracis-28348	94	28	the	the	DET
bracis-28348	94	29	mutual	mutual	ADJ
bracis-28348	94	30	reachability	reachability	NOUN
bracis-28348	94	31	distance	distance	NOUN
bracis-28348	94	32	between	between	ADP
bracis-28348	94	33	the	the	DET
bracis-28348	94	34	bubbles	bubble	NOUN
bracis-28348	94	35	\(b_i\	\(b_i\	NOUN
bracis-28348	94	36	)	)	PUNCT
bracis-28348	94	37	and	and	CCONJ
bracis-28348	94	38	\(b_j\	\(b_j\	ADJ
bracis-28348	94	39	)	)	PUNCT
bracis-28348	94	40	,	,	PUNCT
bracis-28348	94	41	i.e.	i.e.	X
bracis-28348	94	42	,	,	PUNCT
bracis-28348	94	43	the	the	DET
bracis-28348	94	44	distance	distance	NOUN
bracis-28348	94	45	that	that	PRON
bracis-28348	94	46	make	make	VERB
bracis-28348	94	47	them	they	PRON
bracis-28348	94	48	density	density	NOUN
bracis-28348	94	49	reachable	reachable	ADJ
bracis-28348	94	50	within	within	ADP
bracis-28348	94	51	each	each	DET
bracis-28348	94	52	other	other	ADJ
bracis-28348	94	53	is	be	AUX
bracis-28348	94	54	:	:	PUNCT
bracis-28348	94	55	$	$	SYM
bracis-28348	94	56	$	$	SYM
bracis-28348	94	57	\begin{aligned	\begin{aligne	VERB
bracis-28348	94	58	}	}	PUNCT
bracis-28348	94	59	mrd_{minpts}(b_i	mrd_{minpts}(b_i	NOUN
bracis-28348	94	60	,	,	PUNCT
bracis-28348	94	61	b_j)=max(core_{minpts}(b_i	b_j)=max(core_{minpts}(b_i	NOUN
bracis-28348	94	62	)	)	PUNCT
bracis-28348	94	63	,	,	PUNCT
bracis-28348	94	64	core_{minpts}(b_j	core_{minpts}(b_j	NOUN
bracis-28348	94	65	)	)	PUNCT
bracis-28348	94	66	,	,	PUNCT
bracis-28348	94	67	dist(b_i	dist(b_i	PROPN
bracis-28348	94	68	,	,	PUNCT
bracis-28348	94	69	b_j	b_j	NUM
bracis-28348	94	70	)	)	PUNCT
bracis-28348	94	71	)	)	PUNCT
bracis-28348	94	72	\end{aligned}$$	\end{aligned}$$	X
bracis-28348	95	1	(	(	PUNCT
bracis-28348	95	2	3	3	NUM
bracis-28348	95	3	)	)	PUNCT
bracis-28348	95	4	3.2	3.2	NUM
bracis-28348	95	5	core	core	NOUN
bracis-28348	95	6	-	-	PUNCT
bracis-28348	95	7	ssg	ssg	NOUN
bracis-28348	95	8	:	:	PUNCT
bracis-28348	95	9	core	core	NOUN
bracis-28348	95	10	summarized	summarize	VERB
bracis-28348	95	11	spanning	span	VERB
bracis-28348	95	12	graph	graph	NOUN
bracis-28348	95	13	the	the	DET
bracis-28348	95	14	mrd	mrd	PROPN
bracis-28348	95	15	reflects	reflect	VERB
bracis-28348	95	16	the	the	DET
bracis-28348	95	17	minimum	minimum	ADJ
bracis-28348	95	18	density	density	NOUN
bracis-28348	95	19	needed	need	VERB
bracis-28348	95	20	to	to	PART
bracis-28348	95	21	connect	connect	VERB
bracis-28348	95	22	two	two	NUM
bracis-28348	95	23	dbs	db	NOUN
bracis-28348	95	24	.	.	PUNCT
bracis-28348	95	25	with	with	ADP
bracis-28348	95	26	it	it	PRON
bracis-28348	95	27	,	,	PUNCT
bracis-28348	95	28	we	we	PRON
bracis-28348	95	29	can	can	AUX
bracis-28348	95	30	estimate	estimate	VERB
bracis-28348	95	31	the	the	DET
bracis-28348	95	32	distance	distance	NOUN
bracis-28348	95	33	that	that	PRON
bracis-28348	95	34	connects	connect	VERB
bracis-28348	95	35	all	all	DET
bracis-28348	95	36	pairs	pair	NOUN
bracis-28348	95	37	of	of	ADP
bracis-28348	95	38	dbs	dbs	NOUN
bracis-28348	95	39	in	in	ADP
bracis-28348	95	40	the	the	DET
bracis-28348	95	41	data	datum	NOUN
bracis-28348	95	42	set	set	VERB
bracis-28348	95	43	by	by	ADP
bracis-28348	95	44	density	density	NOUN
bracis-28348	95	45	,	,	PUNCT
bracis-28348	95	46	forming	form	VERB
bracis-28348	95	47	a	a	DET
bracis-28348	95	48	virtual	virtual	ADJ
bracis-28348	95	49	graph	graph	NOUN
bracis-28348	95	50	g	g	NOUN
bracis-28348	95	51	that	that	PRON
bracis-28348	95	52	represents	represent	VERB
bracis-28348	95	53	all	all	DET
bracis-28348	95	54	the	the	DET
bracis-28348	95	55	density	density	NOUN
bracis-28348	95	56	relationships	relationship	NOUN
bracis-28348	95	57	between	between	ADP
bracis-28348	95	58	the	the	DET
bracis-28348	95	59	data	datum	NOUN
bracis-28348	95	60	,	,	PUNCT
bracis-28348	95	61	given	give	VERB
bracis-28348	95	62	a	a	DET
bracis-28348	95	63	minimum	minimum	ADJ
bracis-28348	95	64	value	value	NOUN
bracis-28348	95	65	minpts	minpt	NOUN
bracis-28348	95	66	of	of	ADP
bracis-28348	95	67	points	point	NOUN
bracis-28348	95	68	needed	need	VERB
bracis-28348	95	69	to	to	PART
bracis-28348	95	70	obtain	obtain	VERB
bracis-28348	95	71	the	the	DET
bracis-28348	95	72	desired	desire	VERB
bracis-28348	95	73	density	density	NOUN
bracis-28348	95	74	.	.	PUNCT
bracis-28348	96	1	definition	definition	NOUN
bracis-28348	96	2	5	5	NUM
bracis-28348	96	3	mutual	mutual	ADJ
bracis-28348	96	4	reachability	reachability	NOUN
bracis-28348	96	5	graph	graph	NOUN
bracis-28348	96	6	g	g	NOUN
bracis-28348	96	7	:	:	PUNCT
bracis-28348	96	8	given	give	VERB
bracis-28348	96	9	a	a	DET
bracis-28348	96	10	minimum	minimum	ADJ
bracis-28348	96	11	density	density	NOUN
bracis-28348	96	12	value	value	NOUN
bracis-28348	96	13	minpts	minpt	NOUN
bracis-28348	96	14	,	,	PUNCT
bracis-28348	96	15	the	the	DET
bracis-28348	96	16	\(g_{minpts	\(g_{minpt	NOUN
bracis-28348	96	17	}	}	PUNCT
bracis-28348	96	18	=	=	SYM
bracis-28348	96	19	(	(	PUNCT
bracis-28348	96	20	v	v	NOUN
bracis-28348	96	21	,	,	PUNCT
bracis-28348	96	22	e)\	e)\	NOUN
bracis-28348	96	23	)	)	PUNCT
bracis-28348	96	24	is	be	AUX
bracis-28348	96	25	a	a	DET
bracis-28348	96	26	complete	complete	ADJ
bracis-28348	96	27	graph	graph	NOUN
bracis-28348	96	28	in	in	ADP
bracis-28348	96	29	which	which	PRON
bracis-28348	96	30	the	the	DET
bracis-28348	96	31	set	set	NOUN
bracis-28348	96	32	of	of	ADP
bracis-28348	96	33	vertices	vertex	NOUN
bracis-28348	96	34	v	v	NOUN
bracis-28348	96	35	represent	represent	VERB
bracis-28348	96	36	the	the	DET
bracis-28348	96	37	dbs	dbs	NOUN
bracis-28348	96	38	and	and	CCONJ
bracis-28348	96	39	the	the	DET
bracis-28348	96	40	set	set	NOUN
bracis-28348	96	41	of	of	ADP
bracis-28348	96	42	edges	edge	NOUN
bracis-28348	96	43	is	be	AUX
bracis-28348	96	44	defined	define	VERB
bracis-28348	96	45	as	as	ADP
bracis-28348	96	46	\(e	\(e	NOUN
bracis-28348	96	47	=	=	SYM
bracis-28348	96	48	\{e(b_i	\{e(b_i	PROPN
bracis-28348	96	49	,	,	PUNCT
bracis-28348	96	50	b_j)\	b_j)\	VERB
bracis-28348	96	51	;	;	PUNCT
bracis-28348	96	52	|	|	ADV
bracis-28348	96	53	\	\	PROPN
bracis-28348	96	54	;	;	PUNCT
bracis-28348	96	55	b_i	b_i	NUM
bracis-28348	96	56	,	,	PUNCT
bracis-28348	96	57	b_j	b_j	PUNCT
bracis-28348	96	58	\in	\in	ADJ
bracis-28348	96	59	v	v	NOUN
bracis-28348	96	60	\text	\text	NOUN
bracis-28348	96	61	{	{	PUNCT
bracis-28348	96	62	with	with	ADP
bracis-28348	96	63	weights	weight	NOUN
bracis-28348	96	64	}	}	PUNCT
bracis-28348	96	65	w(e	w(e	NOUN
bracis-28348	96	66	)	)	PUNCT
bracis-28348	97	1	=	=	SYM
bracis-28348	97	2	mrd_{minpts}(b_i	mrd_{minpts}(b_i	NOUN
bracis-28348	97	3	,	,	PUNCT
bracis-28348	97	4	b_j)\}\	b_j)\}\	NOUN
bracis-28348	97	5	)	)	PUNCT
bracis-28348	97	6	.	.	PUNCT
bracis-28348	98	1	the	the	DET
bracis-28348	98	2	main	main	ADJ
bracis-28348	98	3	idea	idea	NOUN
bracis-28348	98	4	behind	behind	ADP
bracis-28348	98	5	density	density	NOUN
bracis-28348	98	6	-	-	PUNCT
bracis-28348	98	7	based	base	VERB
bracis-28348	98	8	hierarchical	hierarchical	ADJ
bracis-28348	98	9	machine	machine	NOUN
bracis-28348	98	10	learning	learn	VERB
bracis-28348	98	11	algorithms	algorithm	NOUN
bracis-28348	98	12	is	be	AUX
bracis-28348	98	13	to	to	PART
bracis-28348	98	14	extract	extract	VERB
bracis-28348	98	15	a	a	DET
bracis-28348	98	16	minimal	minimal	ADJ
bracis-28348	98	17	graph	graph	NOUN
bracis-28348	98	18	that	that	PRON
bracis-28348	98	19	connects	connect	VERB
bracis-28348	98	20	all	all	DET
bracis-28348	98	21	objects	object	NOUN
bracis-28348	98	22	in	in	ADP
bracis-28348	98	23	the	the	DET
bracis-28348	98	24	dataset	dataset	NOUN
bracis-28348	98	25	by	by	ADP
bracis-28348	98	26	density	density	NOUN
bracis-28348	98	27	[	[	X
bracis-28348	98	28	6	6	NUM
bracis-28348	98	29	,	,	PUNCT
bracis-28348	98	30	10	10	NUM
bracis-28348	98	31	]	]	PUNCT
bracis-28348	98	32	.	.	PUNCT
bracis-28348	99	1	that	that	PRON
bracis-28348	99	2	is	be	AUX
bracis-28348	99	3	,	,	PUNCT
bracis-28348	99	4	directly	directly	ADV
bracis-28348	99	5	or	or	CCONJ
bracis-28348	99	6	indirectly	indirectly	ADV
bracis-28348	99	7	,	,	PUNCT
bracis-28348	99	8	these	these	DET
bracis-28348	99	9	algorithms	algorithm	NOUN
bracis-28348	99	10	obtain	obtain	VERB
bracis-28348	99	11	the	the	DET
bracis-28348	99	12	\(mst_{minpts}\	\(mst_{minpts}\	NOUN
bracis-28348	99	13	)	)	PUNCT
bracis-28348	99	14	of	of	ADP
bracis-28348	99	15	the	the	DET
bracis-28348	99	16	graph	graph	NOUN
bracis-28348	99	17	\(g_{minpts}\	\(g_{minpts}\	PROPN
bracis-28348	99	18	)	)	PUNCT
bracis-28348	99	19	and	and	CCONJ
bracis-28348	99	20	,	,	PUNCT
bracis-28348	99	21	with	with	ADP
bracis-28348	99	22	it	it	PRON
bracis-28348	99	23	,	,	PUNCT
bracis-28348	99	24	build	build	VERB
bracis-28348	99	25	a	a	DET
bracis-28348	99	26	hierarchy	hierarchy	NOUN
bracis-28348	99	27	that	that	PRON
bracis-28348	99	28	allows	allow	VERB
bracis-28348	99	29	obtaining	obtain	VERB
bracis-28348	99	30	clusters	cluster	NOUN
bracis-28348	99	31	,	,	PUNCT
bracis-28348	99	32	identification	identification	NOUN
bracis-28348	99	33	of	of	ADP
bracis-28348	99	34	outliers	outlier	NOUN
bracis-28348	99	35	and	and	CCONJ
bracis-28348	99	36	applications	application	NOUN
bracis-28348	99	37	.	.	PUNCT
bracis-28348	100	1	however	however	ADV
bracis-28348	100	2	,	,	PUNCT
bracis-28348	100	3	different	different	ADJ
bracis-28348	100	4	minpts	minpt	NOUN
bracis-28348	100	5	values	value	NOUN
bracis-28348	100	6	tend	tend	VERB
bracis-28348	100	7	to	to	PART
bracis-28348	100	8	derive	derive	VERB
bracis-28348	100	9	different	different	ADJ
bracis-28348	100	10	results	result	NOUN
bracis-28348	100	11	,	,	PUNCT
bracis-28348	100	12	which	which	PRON
bracis-28348	100	13	would	would	AUX
bracis-28348	100	14	require	require	VERB
bracis-28348	100	15	multiple	multiple	ADJ
bracis-28348	100	16	extractions	extraction	NOUN
bracis-28348	100	17	of	of	ADP
bracis-28348	100	18	msts	mst	NOUN
bracis-28348	100	19	at	at	ADP
bracis-28348	100	20	a	a	DET
bracis-28348	100	21	high	high	ADJ
bracis-28348	100	22	computational	computational	ADJ
bracis-28348	100	23	cost	cost	NOUN
bracis-28348	100	24	.	.	PUNCT
bracis-28348	101	1	to	to	PART
bracis-28348	101	2	avoid	avoid	VERB
bracis-28348	101	3	this	this	PRON
bracis-28348	101	4	,	,	PUNCT
bracis-28348	101	5	given	give	VERB
bracis-28348	101	6	an	an	DET
bracis-28348	101	7	upper	upper	ADJ
bracis-28348	101	8	bound	bind	VERB
bracis-28348	101	9	for	for	ADP
bracis-28348	101	10	minpts	minpt	NOUN
bracis-28348	101	11	defined	define	VERB
bracis-28348	101	12	here	here	ADV
bracis-28348	101	13	as	as	ADP
bracis-28348	101	14	\(minpts_{max}\	\(minpts_{max}\	NOUN
bracis-28348	101	15	)	)	PUNCT
bracis-28348	101	16	,	,	PUNCT
bracis-28348	101	17	we	we	PRON
bracis-28348	101	18	can	can	AUX
bracis-28348	101	19	replace	replace	VERB
bracis-28348	101	20	the	the	DET
bracis-28348	101	21	complete	complete	ADJ
bracis-28348	101	22	graph	graph	NOUN
bracis-28348	101	23	g	g	NOUN
bracis-28348	101	24	with	with	ADP
bracis-28348	101	25	\(o(n^2)\	\(o(n^2)\	ADJ
bracis-28348	101	26	)	)	PUNCT
bracis-28348	101	27	edges	edge	NOUN
bracis-28348	101	28	by	by	ADP
bracis-28348	101	29	the	the	DET
bracis-28348	101	30	graph	graph	NOUN
bracis-28348	101	31	core	core	NOUN
bracis-28348	101	32	-	-	PUNCT
bracis-28348	101	33	sg\	sg\	NOUN
bracis-28348	101	34	(	(	PUNCT
bracis-28348	101	35	_	_	PUNCT
bracis-28348	101	36	{	{	PUNCT
bracis-28348	101	37	minpts_{max}}\	minpts_{max}}\	NOUN
bracis-28348	101	38	)	)	PUNCT
bracis-28348	101	39	with	with	ADP
bracis-28348	101	40	o(n	o(n	NOUN
bracis-28348	101	41	)	)	PUNCT
bracis-28348	101	42	edges	edge	NOUN
bracis-28348	101	43	when	when	SCONJ
bracis-28348	101	44	applied	apply	VERB
bracis-28348	101	45	to	to	ADP
bracis-28348	101	46	a	a	DET
bracis-28348	101	47	dataset	dataset	NOUN
bracis-28348	101	48	with	with	ADP
bracis-28348	101	49	n	n	ADP
bracis-28348	101	50	objects	object	NOUN
bracis-28348	101	51	,	,	PUNCT
bracis-28348	101	52	if	if	SCONJ
bracis-28348	101	53	\(minpts	\(minpt	NOUN
bracis-28348	101	54	\le	\le	PROPN
bracis-28348	101	55	minpts_{max	minpts_{max	X
bracis-28348	101	56	}	}	PUNCT
bracis-28348	101	57	<	<	X
bracis-28348	101	58	<	<	X
bracis-28348	101	59	n\	n\	NOUN
bracis-28348	101	60	)	)	PUNCT
bracis-28348	102	1	[	[	X
bracis-28348	102	2	18	18	NUM
bracis-28348	102	3	]	]	PUNCT
bracis-28348	102	4	,	,	PUNCT
bracis-28348	102	5	which	which	PRON
bracis-28348	102	6	is	be	AUX
bracis-28348	102	7	a	a	DET
bracis-28348	102	8	natural	natural	ADJ
bracis-28348	102	9	assumption	assumption	NOUN
bracis-28348	102	10	.	.	PUNCT
bracis-28348	103	1	however	however	ADV
bracis-28348	103	2	,	,	PUNCT
bracis-28348	103	3	obtaining	obtain	VERB
bracis-28348	103	4	the	the	DET
bracis-28348	103	5	core	core	NOUN
bracis-28348	103	6	-	-	PUNCT
bracis-28348	103	7	sg	sg	NOUN
bracis-28348	103	8	of	of	ADP
bracis-28348	103	9	g	g	PROPN
bracis-28348	103	10	over	over	ADP
bracis-28348	103	11	n	n	PRON
bracis-28348	103	12	objects	object	NOUN
bracis-28348	103	13	using	use	VERB
bracis-28348	103	14	a	a	DET
bracis-28348	103	15	traditional	traditional	ADJ
bracis-28348	103	16	mst	mst	PROPN
bracis-28348	103	17	extraction	extraction	NOUN
bracis-28348	103	18	algorithm	algorithm	NOUN
bracis-28348	103	19	is	be	AUX
bracis-28348	103	20	\(o(n^2	\(o(n^2	PROPN
bracis-28348	103	21	\cdot	\cdot	NOUN
bracis-28348	103	22	log	log	VERB
bracis-28348	103	23	\	\	PROPN
bracis-28348	103	24	n)\	n)\	PROPN
bracis-28348	103	25	)	)	PUNCT
bracis-28348	103	26	,	,	PUNCT
bracis-28348	103	27	prohibitive	prohibitive	ADJ
bracis-28348	103	28	for	for	ADP
bracis-28348	103	29	large	large	ADJ
bracis-28348	103	30	values	value	NOUN
bracis-28348	103	31	of	of	ADP
bracis-28348	103	32	n.	n.	NOUN
bracis-28348	103	33	in	in	ADP
bracis-28348	103	34	the	the	DET
bracis-28348	103	35	present	present	ADJ
bracis-28348	103	36	work	work	NOUN
bracis-28348	103	37	,	,	PUNCT
bracis-28348	103	38	we	we	PRON
bracis-28348	103	39	summarize	summarize	VERB
bracis-28348	103	40	the	the	DET
bracis-28348	103	41	data	datum	NOUN
bracis-28348	103	42	into	into	ADP
bracis-28348	103	43	dbs	dbs	NOUN
bracis-28348	103	44	and	and	CCONJ
bracis-28348	103	45	consider	consider	VERB
bracis-28348	103	46	the	the	DET
bracis-28348	103	47	complete	complete	ADJ
bracis-28348	103	48	graph	graph	NOUN
bracis-28348	103	49	g	g	PROPN
bracis-28348	103	50	over	over	ADP
bracis-28348	103	51	m	m	PROPN
bracis-28348	103	52	dbs	dbs	PROPN
bracis-28348	103	53	,	,	PUNCT
bracis-28348	103	54	which	which	PRON
bracis-28348	103	55	makes	make	VERB
bracis-28348	103	56	the	the	DET
bracis-28348	103	57	cost	cost	NOUN
bracis-28348	103	58	to	to	PART
bracis-28348	103	59	build	build	VERB
bracis-28348	103	60	the	the	DET
bracis-28348	103	61	core	core	NOUN
bracis-28348	103	62	-	-	PUNCT
bracis-28348	103	63	sg\(_{minpts_{max}}\	sg\(_{minpts_{max}}\	PROPN
bracis-28348	103	64	)	)	PUNCT
bracis-28348	103	65	\(o(m^2	\(o(m^2	NOUN
bracis-28348	103	66	\cdot	\cdot	NOUN
bracis-28348	103	67	log	log	VERB
bracis-28348	103	68	\	\	NOUN
bracis-28348	103	69	m)\	m)\	NOUN
bracis-28348	103	70	)	)	PUNCT
bracis-28348	103	71	and	and	CCONJ
bracis-28348	103	72	the	the	DET
bracis-28348	103	73	cost	cost	NOUN
bracis-28348	103	74	of	of	ADP
bracis-28348	103	75	each	each	DET
bracis-28348	103	76	extraction	extraction	NOUN
bracis-28348	103	77	of	of	ADP
bracis-28348	103	78	\(mst_{minpts}\	\(mst_{minpts}\	NOUN
bracis-28348	103	79	)	)	PUNCT
bracis-28348	103	80	\(o(m\cdot	\(o(m\cdot	NOUN
bracis-28348	103	81	log	log	NOUN
bracis-28348	103	82	\	\	NOUN
bracis-28348	103	83	m)\	m)\	NOUN
bracis-28348	103	84	)	)	PUNCT
bracis-28348	103	85	.	.	PUNCT
bracis-28348	104	1	in	in	ADP
bracis-28348	104	2	a	a	DET
bracis-28348	104	3	scenario	scenario	NOUN
bracis-28348	104	4	with	with	ADP
bracis-28348	104	5	a	a	DET
bracis-28348	104	6	large	large	ADJ
bracis-28348	104	7	volume	volume	NOUN
bracis-28348	104	8	of	of	ADP
bracis-28348	104	9	data	datum	NOUN
bracis-28348	104	10	,	,	PUNCT
bracis-28348	104	11	it	it	PRON
bracis-28348	104	12	is	be	AUX
bracis-28348	104	13	natural	natural	ADJ
bracis-28348	104	14	to	to	PART
bracis-28348	104	15	consider	consider	VERB
bracis-28348	104	16	that	that	PRON
bracis-28348	104	17	\(minpts_{max	\(minpts_{max	VERB
bracis-28348	104	18	}	}	PUNCT
bracis-28348	104	19	<	<	X
bracis-28348	104	20	<	<	X
bracis-28348	104	21	m	m	VERB
bracis-28348	104	22	<	<	X
bracis-28348	104	23	<	<	X
bracis-28348	104	24	n\	n\	X
bracis-28348	104	25	)	)	PUNCT
bracis-28348	104	26	and	and	CCONJ
bracis-28348	104	27	,	,	PUNCT
bracis-28348	104	28	therefore	therefore	ADV
bracis-28348	104	29	,	,	PUNCT
bracis-28348	104	30	to	to	PART
bracis-28348	104	31	limit	limit	VERB
bracis-28348	104	32	the	the	DET
bracis-28348	104	33	necessary	necessary	ADJ
bracis-28348	104	34	computational	computational	ADJ
bracis-28348	104	35	cost	cost	NOUN
bracis-28348	104	36	for	for	ADP
bracis-28348	104	37	our	our	PRON
bracis-28348	104	38	proposal	proposal	NOUN
bracis-28348	104	39	to	to	ADP
bracis-28348	104	40	o(n	o(n	NUM
bracis-28348	104	41	)	)	PUNCT
bracis-28348	104	42	.	.	PUNCT
bracis-28348	105	1	in	in	ADP
bracis-28348	105	2	scenarios	scenario	NOUN
bracis-28348	105	3	where	where	SCONJ
bracis-28348	105	4	this	this	DET
bracis-28348	105	5	assumption	assumption	NOUN
bracis-28348	105	6	is	be	AUX
bracis-28348	105	7	invalid	invalid	ADJ
bracis-28348	105	8	,	,	PUNCT
bracis-28348	105	9	the	the	DET
bracis-28348	105	10	data	datum	NOUN
bracis-28348	105	11	can	can	AUX
bracis-28348	105	12	be	be	AUX
bracis-28348	105	13	used	use	VERB
bracis-28348	105	14	normally	normally	ADV
bracis-28348	105	15	,	,	PUNCT
bracis-28348	105	16	and	and	CCONJ
bracis-28348	105	17	summarization	summarization	NOUN
bracis-28348	105	18	is	be	AUX
bracis-28348	105	19	unnecessary	unnecessary	ADJ
bracis-28348	105	20	.	.	PUNCT
bracis-28348	106	1	as	as	SCONJ
bracis-28348	106	2	it	it	PRON
bracis-28348	106	3	is	be	AUX
bracis-28348	106	4	applied	apply	VERB
bracis-28348	106	5	over	over	ADP
bracis-28348	106	6	dbs	dbs	PROPN
bracis-28348	106	7	,	,	PUNCT
bracis-28348	106	8	the	the	DET
bracis-28348	106	9	summarized	summarize	VERB
bracis-28348	106	10	core	core	NOUN
bracis-28348	106	11	-	-	PUNCT
bracis-28348	106	12	sg	sg	PROPN
bracis-28348	106	13	will	will	AUX
bracis-28348	106	14	be	be	AUX
bracis-28348	106	15	referred	refer	VERB
bracis-28348	106	16	to	to	ADP
bracis-28348	106	17	here	here	ADV
bracis-28348	106	18	as	as	SCONJ
bracis-28348	106	19	core	core	NOUN
bracis-28348	106	20	summarized	summarize	VERB
bracis-28348	106	21	spanning	span	VERB
bracis-28348	106	22	graph	graph	NOUN
bracis-28348	106	23	(	(	PUNCT
bracis-28348	106	24	core	core	NOUN
bracis-28348	106	25	-	-	PUNCT
bracis-28348	106	26	ssg	ssg	NOUN
bracis-28348	106	27	)	)	PUNCT
bracis-28348	106	28	and	and	CCONJ
bracis-28348	106	29	has	have	VERB
bracis-28348	106	30	definitions	definition	NOUN
bracis-28348	106	31	and	and	CCONJ
bracis-28348	106	32	properties	property	NOUN
bracis-28348	106	33	different	different	ADJ
bracis-28348	106	34	from	from	ADP
bracis-28348	106	35	its	its	PRON
bracis-28348	106	36	original	original	ADJ
bracis-28348	106	37	version	version	NOUN
bracis-28348	106	38	 	 	SPACE
bracis-28348	107	1	[	[	X
bracis-28348	107	2	18	18	NUM
bracis-28348	107	3	]	]	PUNCT
bracis-28348	107	4	.	.	PUNCT
bracis-28348	108	1	next	next	ADV
bracis-28348	108	2	,	,	PUNCT
bracis-28348	108	3	we	we	PRON
bracis-28348	108	4	will	will	AUX
bracis-28348	108	5	present	present	VERB
bracis-28348	108	6	its	its	PRON
bracis-28348	108	7	new	new	ADJ
bracis-28348	108	8	concepts	concept	NOUN
bracis-28348	108	9	and	and	CCONJ
bracis-28348	108	10	proprieties	propriety	NOUN
bracis-28348	108	11	.	.	PUNCT
bracis-28348	109	1	definition	definition	NOUN
bracis-28348	109	2	6	6	NUM
bracis-28348	109	3	minimum	minimum	NOUN
bracis-28348	109	4	nearest	near	ADJ
bracis-28348	109	5	neighbor	neighbor	NOUN
bracis-28348	109	6	graph	graph	NOUN
bracis-28348	109	7	\(mnng_{minpts}\	\(mnng_{minpts}\	NUM
bracis-28348	109	8	):	):	PUNCT
bracis-28348	109	9	given	give	VERB
bracis-28348	109	10	a	a	DET
bracis-28348	109	11	minimum	minimum	ADJ
bracis-28348	109	12	density	density	NOUN
bracis-28348	109	13	value	value	NOUN
bracis-28348	109	14	minpts	minpt	NOUN
bracis-28348	109	15	,	,	PUNCT
bracis-28348	109	16	the	the	DET
bracis-28348	109	17	graph	graph	NOUN
bracis-28348	109	18	\(mnng_{minpts	\(mnng_{minpt	NOUN
bracis-28348	109	19	}	}	PUNCT
bracis-28348	109	20	=	=	SYM
bracis-28348	109	21	(	(	PUNCT
bracis-28348	109	22	v	v	NOUN
bracis-28348	109	23	,	,	PUNCT
bracis-28348	109	24	e)\	e)\	NOUN
bracis-28348	109	25	)	)	PUNCT
bracis-28348	109	26	has	have	VERB
bracis-28348	109	27	the	the	DET
bracis-28348	109	28	generated	generate	VERB
bracis-28348	109	29	dbs	dbs	NOUN
bracis-28348	109	30	as	as	ADP
bracis-28348	109	31	a	a	DET
bracis-28348	109	32	set	set	NOUN
bracis-28348	109	33	of	of	ADP
bracis-28348	109	34	vertices	vertex	NOUN
bracis-28348	109	35	v	v	NOUN
bracis-28348	109	36	over	over	ADP
bracis-28348	109	37	the	the	DET
bracis-28348	109	38	data	datum	NOUN
bracis-28348	109	39	and	and	CCONJ
bracis-28348	109	40	the	the	DET
bracis-28348	109	41	set	set	NOUN
bracis-28348	109	42	of	of	ADP
bracis-28348	109	43	edges	edge	NOUN
bracis-28348	109	44	\(e	\(e	NOUN
bracis-28348	109	45	=	=	SYM
bracis-28348	109	46	\{e(b_i	\{e(b_i	PROPN
bracis-28348	109	47	,	,	PUNCT
bracis-28348	109	48	b_j)\	b_j)\	VERB
bracis-28348	109	49	;	;	PUNCT
bracis-28348	109	50	|	|	ADV
bracis-28348	109	51	\	\	PROPN
bracis-28348	109	52	;	;	PUNCT
bracis-28348	109	53	b_i	b_i	NUM
bracis-28348	109	54	,	,	PUNCT
bracis-28348	109	55	b_j	b_j	SYM
bracis-28348	109	56	\in	\in	PROPN
bracis-28348	109	57	v	v	ADJ
bracis-28348	109	58	\wedge	\wedge	PROPN
bracis-28348	109	59	b_j	b_j	PUNCT
bracis-28348	109	60	=	=	SYM
bracis-28348	109	61	nn(b_i	nn(b_i	PROPN
bracis-28348	109	62	,	,	PUNCT
bracis-28348	109	63	k	k	NOUN
bracis-28348	109	64	)	)	PUNCT
bracis-28348	109	65	\	\	PUNCT
bracis-28348	110	1	\forall	\forall	PRON
bracis-28348	110	2	k	k	NOUN
bracis-28348	111	1	=	=	PUNCT
bracis-28348	112	1	[	[	X
bracis-28348	112	2	0,snn(b_i	0,snn(b_i	NUM
bracis-28348	112	3	,	,	PUNCT
bracis-28348	112	4	minpts	minpt	NOUN
bracis-28348	112	5	)	)	PUNCT
bracis-28348	112	6	]	]	PUNCT
bracis-28348	112	7	\}\	\}\	NOUN
bracis-28348	112	8	)	)	PUNCT
bracis-28348	112	9	.	.	PUNCT
bracis-28348	113	1	this	this	DET
bracis-28348	113	2	graph	graph	NOUN
bracis-28348	113	3	connects	connect	VERB
bracis-28348	113	4	the	the	DET
bracis-28348	113	5	dbs	dbs	NOUN
bracis-28348	113	6	to	to	PART
bracis-28348	113	7	guarantee	guarantee	VERB
bracis-28348	113	8	a	a	DET
bracis-28348	113	9	minimum	minimum	ADJ
bracis-28348	113	10	number	number	NOUN
bracis-28348	113	11	of	of	ADP
bracis-28348	113	12	minpts	minpt	NOUN
bracis-28348	113	13	connected	connect	VERB
bracis-28348	113	14	summarized	summarize	VERB
bracis-28348	113	15	objects	object	NOUN
bracis-28348	113	16	.	.	PUNCT
bracis-28348	114	1	we	we	PRON
bracis-28348	114	2	see	see	VERB
bracis-28348	114	3	that	that	DET
bracis-28348	114	4	\(mnng_{minpts}\	\(mnng_{minpts}\	NOUN
bracis-28348	114	5	)	)	PUNCT
bracis-28348	114	6	has	have	VERB
bracis-28348	114	7	two	two	NUM
bracis-28348	114	8	important	important	ADJ
bracis-28348	114	9	properties	property	NOUN
bracis-28348	114	10	,	,	PUNCT
bracis-28348	114	11	as	as	SCONJ
bracis-28348	114	12	shown	show	VERB
bracis-28348	114	13	in	in	ADP
bracis-28348	114	14	lemmas	lemmas	PROPN
bracis-28348	114	15	1	1	NUM
bracis-28348	114	16	and	and	CCONJ
bracis-28348	114	17	2	2	NUM
bracis-28348	114	18	.	.	X
bracis-28348	115	1	lemma	lemma	PROPN
bracis-28348	115	2	1	1	NUM
bracis-28348	115	3	:	:	PUNCT
bracis-28348	115	4	\(\forall	\(\forall	ADV
bracis-28348	115	5	\	\	PROPN
bracis-28348	115	6	a	a	DET
bracis-28348	115	7	\le	\le	PROPN
bracis-28348	115	8	b\	b\	NOUN
bracis-28348	115	9	)	)	PUNCT
bracis-28348	115	10	,	,	PUNCT
bracis-28348	115	11	\(mnng_{a	\(mnng_{a	PROPN
bracis-28348	115	12	}	}	PUNCT
bracis-28348	115	13	\subseteq	\subseteq	PROPN
bracis-28348	115	14	mnng_{b}\	mnng_{b}\	NOUN
bracis-28348	115	15	)	)	PUNCT
bracis-28348	115	16	.	.	PUNCT
bracis-28348	116	1	proof	proof	NOUN
bracis-28348	116	2	:	:	PUNCT
bracis-28348	116	3	since	since	SCONJ
bracis-28348	116	4	\(mnng_{a	\(mnng_{a	PROPN
bracis-28348	116	5	}	}	PUNCT
bracis-28348	116	6	=	=	SYM
bracis-28348	116	7	(	(	PUNCT
bracis-28348	116	8	v_a	v_a	PROPN
bracis-28348	116	9	,	,	PUNCT
bracis-28348	116	10	e_a)\	e_a)\	PROPN
bracis-28348	116	11	)	)	PUNCT
bracis-28348	116	12	,	,	PUNCT
bracis-28348	116	13	\(mnng_{b	\(mnng_{b	NOUN
bracis-28348	116	14	}	}	PUNCT
bracis-28348	116	15	=	=	SYM
bracis-28348	116	16	(	(	PUNCT
bracis-28348	116	17	v_b	v_b	NUM
bracis-28348	116	18	,	,	PUNCT
bracis-28348	116	19	e_b)\	e_b)\	X
bracis-28348	116	20	)	)	PUNCT
bracis-28348	116	21	and	and	CCONJ
bracis-28348	116	22	\(v_a	\(v_a	ADJ
bracis-28348	116	23	=	=	SYM
bracis-28348	116	24	v_b	v_b	PUNCT
bracis-28348	116	25	=	=	SYM
bracis-28348	116	26	v\	v\	NOUN
bracis-28348	116	27	)	)	PUNCT
bracis-28348	116	28	,	,	PUNCT
bracis-28348	116	29	it	it	PRON
bracis-28348	116	30	is	be	AUX
bracis-28348	116	31	necessary	necessary	ADJ
bracis-28348	116	32	to	to	PART
bracis-28348	116	33	prove	prove	VERB
bracis-28348	116	34	that	that	SCONJ
bracis-28348	116	35	\(e_a	\(e_a	NOUN
bracis-28348	116	36	\subseteq	\subseteq	PROPN
bracis-28348	116	37	e_b\	e_b\	NOUN
bracis-28348	116	38	)	)	PUNCT
bracis-28348	116	39	so	so	SCONJ
bracis-28348	116	40	that	that	SCONJ
bracis-28348	116	41	lemma	lemma	PROPN
bracis-28348	116	42	1	1	NUM
bracis-28348	116	43	be	be	AUX
bracis-28348	116	44	true	true	ADJ
bracis-28348	116	45	.	.	PUNCT
bracis-28348	117	1	assuming	assume	VERB
bracis-28348	117	2	that	that	SCONJ
bracis-28348	117	3	\(e_a	\(e_a	PROPN
bracis-28348	117	4	\not	\not	ADV
bracis-28348	117	5	\subseteq	\subseteq	PROPN
bracis-28348	117	6	e_b\	e_b\	PROPN
bracis-28348	117	7	)	)	PUNCT
bracis-28348	117	8	,	,	PUNCT
bracis-28348	117	9	there	there	PRON
bracis-28348	117	10	must	must	AUX
bracis-28348	117	11	be	be	AUX
bracis-28348	117	12	an	an	DET
bracis-28348	117	13	edge	edge	NOUN
bracis-28348	117	14	in	in	ADP
bracis-28348	117	15	\(e_a\	\(e_a\	PROPN
bracis-28348	117	16	)	)	PUNCT
bracis-28348	117	17	that	that	PRON
bracis-28348	117	18	is	be	AUX
bracis-28348	117	19	not	not	PART
bracis-28348	117	20	in	in	ADP
bracis-28348	117	21	\(e_b\	\(e_b\	NOUN
bracis-28348	117	22	)	)	PUNCT
bracis-28348	117	23	.	.	PUNCT
bracis-28348	118	1	by	by	ADP
bracis-28348	118	2	definition	definition	NOUN
bracis-28348	118	3	,	,	PUNCT
bracis-28348	118	4	\(snn(b_i	\(snn(b_i	NOUN
bracis-28348	118	5	,	,	PUNCT
bracis-28348	118	6	a	a	DET
bracis-28348	118	7	)	)	PUNCT
bracis-28348	118	8	\le	\le	PROPN
bracis-28348	118	9	snn(b_i	snn(b_i	NOUN
bracis-28348	118	10	,	,	PUNCT
bracis-28348	118	11	b	b	NOUN
bracis-28348	118	12	)	)	PUNCT
bracis-28348	118	13	\	\	PUNCT
bracis-28348	119	1	\forall	\forall	DET
bracis-28348	119	2	\	\	PROPN
bracis-28348	119	3	a	a	DET
bracis-28348	119	4	\le	\le	PROPN
bracis-28348	119	5	b	b	PROPN
bracis-28348	119	6	,	,	PUNCT
bracis-28348	119	7	b_i	b_i	PROPN
bracis-28348	119	8	\in	\in	PROPN
bracis-28348	119	9	v\	v\	NOUN
bracis-28348	119	10	)	)	PUNCT
bracis-28348	119	11	.	.	PUNCT
bracis-28348	120	1	therefore	therefore	ADV
bracis-28348	120	2	,	,	PUNCT
bracis-28348	120	3	the	the	DET
bracis-28348	120	4	set	set	NOUN
bracis-28348	120	5	of	of	ADP
bracis-28348	120	6	integer	integer	NOUN
bracis-28348	120	7	values	value	NOUN
bracis-28348	120	8	of	of	ADP
bracis-28348	120	9	the	the	DET
bracis-28348	120	10	interval	interval	NOUN
bracis-28348	120	11	\([0,snn(b_i	\([0,snn(b_i	PROPN
bracis-28348	120	12	,	,	PUNCT
bracis-28348	120	13	a)]\	a)]\	NUM
bracis-28348	120	14	)	)	PUNCT
bracis-28348	120	15	is	be	AUX
bracis-28348	120	16	contained	contain	VERB
bracis-28348	120	17	in	in	ADP
bracis-28348	120	18	\([0,snn(b_i	\([0,snn(b_i	PROPN
bracis-28348	120	19	,	,	PUNCT
bracis-28348	120	20	b)]\	b)]\	PROPN
bracis-28348	120	21	)	)	PUNCT
bracis-28348	120	22	,	,	PUNCT
bracis-28348	120	23	which	which	PRON
bracis-28348	120	24	makes	make	VERB
bracis-28348	120	25	false	false	ADJ
bracis-28348	120	26	the	the	DET
bracis-28348	120	27	statement	statement	NOUN
bracis-28348	120	28	that	that	SCONJ
bracis-28348	120	29	there	there	PRON
bracis-28348	120	30	is	be	VERB
bracis-28348	120	31	an	an	DET
bracis-28348	120	32	edge	edge	NOUN
bracis-28348	120	33	\(e_a\	\(e_a\	NOUN
bracis-28348	120	34	)	)	PUNCT
bracis-28348	120	35	that	that	PRON
bracis-28348	120	36	is	be	AUX
bracis-28348	120	37	not	not	PART
bracis-28348	120	38	in	in	ADP
bracis-28348	120	39	\(e_b\	\(e_b\	NOUN
bracis-28348	120	40	)	)	PUNCT
bracis-28348	120	41	.	.	PUNCT
bracis-28348	121	1	lemma	lemma	PROPN
bracis-28348	121	2	2	2	NUM
bracis-28348	121	3	:	:	PUNCT
bracis-28348	121	4	\(\forall	\(\forall	ADV
bracis-28348	121	5	\	\	PROPN
bracis-28348	121	6	a	a	DET
bracis-28348	121	7	\le	\le	PROPN
bracis-28348	121	8	b	b	NOUN
bracis-28348	121	9	:	:	PUNCT
bracis-28348	121	10	mrd_a(b_i	mrd_a(b_i	NOUN
bracis-28348	121	11	,	,	PUNCT
bracis-28348	121	12	b_j	b_j	NUM
bracis-28348	121	13	)	)	PUNCT
bracis-28348	121	14	=	=	SYM
bracis-28348	121	15	max(core_a(b_i	max(core_a(b_i	NOUN
bracis-28348	121	16	)	)	PUNCT
bracis-28348	121	17	,	,	PUNCT
bracis-28348	121	18	core_a(b_j	core_a(b_j	NOUN
bracis-28348	121	19	)	)	PUNCT
bracis-28348	121	20	)	)	PUNCT
bracis-28348	122	1	\rightarrow	\rightarrow	PROPN
bracis-28348	122	2	e(b_i	e(b_i	PROPN
bracis-28348	122	3	,	,	PUNCT
bracis-28348	122	4	b_j	b_j	NUM
bracis-28348	122	5	)	)	PUNCT
bracis-28348	122	6	\in	\in	ADJ
bracis-28348	122	7	mnng_{b}\	mnng_{b}\	NOUN
bracis-28348	122	8	)	)	PUNCT
bracis-28348	122	9	.	.	PUNCT
bracis-28348	123	1	proof	proof	NOUN
bracis-28348	123	2	:	:	PUNCT
bracis-28348	123	3	assuming	assume	VERB
bracis-28348	123	4	that	that	SCONJ
bracis-28348	123	5	\(mrd_a(b_i	\(mrd_a(b_i	PROPN
bracis-28348	123	6	,	,	PUNCT
bracis-28348	123	7	b_j	b_j	NUM
bracis-28348	123	8	)	)	PUNCT
bracis-28348	123	9	=	=	SYM
bracis-28348	123	10	\max	\max	PROPN
bracis-28348	123	11	(	(	PUNCT
bracis-28348	123	12	core_a(b_i	core_a(b_i	PROPN
bracis-28348	123	13	)	)	PUNCT
bracis-28348	123	14	,	,	PUNCT
bracis-28348	123	15	core_a(b_j))\	core_a(b_j))\	PROPN
bracis-28348	123	16	)	)	PUNCT
bracis-28348	123	17	,	,	PUNCT
bracis-28348	123	18	given	give	VERB
bracis-28348	123	19	the	the	DET
bracis-28348	123	20	definition	definition	NOUN
bracis-28348	123	21	of	of	ADP
bracis-28348	123	22	the	the	DET
bracis-28348	123	23	mrd	mrd	PROPN
bracis-28348	123	24	in	in	ADP
bracis-28348	123	25	definition	definition	NOUN
bracis-28348	123	26	4	4	NUM
bracis-28348	123	27	,	,	PUNCT
bracis-28348	123	28	it	it	PRON
bracis-28348	123	29	follows	follow	VERB
bracis-28348	123	30	that	that	SCONJ
bracis-28348	123	31	\(core_a(b_i	\(core_a(b_i	NOUN
bracis-28348	123	32	)	)	PUNCT
bracis-28348	123	33	\ge	\ge	PROPN
bracis-28348	123	34	dist(b_i	dist(b_i	PROPN
bracis-28348	123	35	,	,	PUNCT
bracis-28348	123	36	b_j)\	b_j)\	NOUN
bracis-28348	123	37	)	)	PUNCT
bracis-28348	123	38	or	or	CCONJ
bracis-28348	123	39	\(core_a(b_j	\(core_a(b_j	NOUN
bracis-28348	123	40	)	)	PUNCT
bracis-28348	123	41	\ge	\ge	PROPN
bracis-28348	123	42	dist(b_i	dist(b_i	PROPN
bracis-28348	123	43	,	,	PUNCT
bracis-28348	123	44	b_j)\	b_j)\	NOUN
bracis-28348	123	45	)	)	PUNCT
bracis-28348	123	46	,	,	PUNCT
bracis-28348	123	47	or	or	CCONJ
bracis-28348	123	48	both	both	PRON
bracis-28348	123	49	.	.	PUNCT
bracis-28348	124	1	hence	hence	ADV
bracis-28348	124	2	,	,	PUNCT
bracis-28348	124	3	at	at	ADV
bracis-28348	124	4	least	least	ADJ
bracis-28348	124	5	one	one	NUM
bracis-28348	124	6	of	of	ADP
bracis-28348	124	7	these	these	DET
bracis-28348	124	8	dbs	dbs	NOUN
bracis-28348	124	9	must	must	AUX
bracis-28348	124	10	be	be	AUX
bracis-28348	124	11	in	in	ADP
bracis-28348	124	12	the	the	DET
bracis-28348	124	13	neighborhood	neighborhood	NOUN
bracis-28348	124	14	of	of	ADP
bracis-28348	124	15	the	the	DET
bracis-28348	124	16	other	other	ADJ
bracis-28348	124	17	,	,	PUNCT
bracis-28348	124	18	i.e.	i.e.	X
bracis-28348	124	19	,	,	PUNCT
bracis-28348	124	20	\(b_j	\(b_j	NOUN
bracis-28348	124	21	=	=	SYM
bracis-28348	124	22	nn(b_i	nn(b_i	PROPN
bracis-28348	124	23	,	,	PUNCT
bracis-28348	124	24	k	k	NOUN
bracis-28348	124	25	)	)	PUNCT
bracis-28348	124	26	,	,	PUNCT
bracis-28348	124	27	k	k	X
bracis-28348	125	1	=	=	PUNCT
bracis-28348	126	1	[	[	X
bracis-28348	126	2	0,snn(b_i	0,snn(b_i	NUM
bracis-28348	126	3	,	,	PUNCT
bracis-28348	126	4	a)]\	a)]\	NUM
bracis-28348	126	5	)	)	PUNCT
bracis-28348	126	6	or	or	CCONJ
bracis-28348	126	7	/	/	SYM
bracis-28348	126	8	and	and	CCONJ
bracis-28348	126	9	\(b_i	\(b_i	ADJ
bracis-28348	126	10	=	=	SYM
bracis-28348	126	11	nn(b_j	nn(b_j	X
bracis-28348	126	12	,	,	PUNCT
bracis-28348	126	13	k	k	NOUN
bracis-28348	126	14	)	)	PUNCT
bracis-28348	126	15	,	,	PUNCT
bracis-28348	126	16	k	k	X
bracis-28348	126	17	=	=	PUNCT
bracis-28348	127	1	[	[	X
bracis-28348	127	2	0,snn(b_j	0,snn(b_j	NUM
bracis-28348	127	3	,	,	PUNCT
bracis-28348	127	4	a)]\	a)]\	NUM
bracis-28348	127	5	)	)	PUNCT
bracis-28348	127	6	must	must	AUX
bracis-28348	127	7	hold	hold	VERB
bracis-28348	127	8	and	and	CCONJ
bracis-28348	127	9	implies	imply	VERB
bracis-28348	127	10	that	that	SCONJ
bracis-28348	127	11	\(e(b_i	\(e(b_i	PROPN
bracis-28348	127	12	,	,	PUNCT
bracis-28348	127	13	b_j	b_j	NUM
bracis-28348	127	14	)	)	PUNCT
bracis-28348	127	15	\in	\in	ADJ
bracis-28348	127	16	mnng_a\	mnng_a\	NOUN
bracis-28348	127	17	)	)	PUNCT
bracis-28348	127	18	.	.	PUNCT
bracis-28348	128	1	since	since	SCONJ
bracis-28348	128	2	\(a	\(a	NOUN
bracis-28348	128	3	\le	\le	PROPN
bracis-28348	128	4	b\	b\	NOUN
bracis-28348	128	5	)	)	PUNCT
bracis-28348	128	6	,	,	PUNCT
bracis-28348	128	7	it	it	PRON
bracis-28348	128	8	follows	follow	VERB
bracis-28348	128	9	by	by	ADP
bracis-28348	128	10	lemma	lemma	PROPN
bracis-28348	128	11	1	1	NUM
bracis-28348	128	12	that	that	PRON
bracis-28348	128	13	\(mnng_{a	\(mnng_{a	PROPN
bracis-28348	128	14	}	}	PUNCT
bracis-28348	128	15	\subseteq	\subseteq	PROPN
bracis-28348	128	16	mnng_{b}\	mnng_{b}\	NOUN
bracis-28348	128	17	)	)	PUNCT
bracis-28348	128	18	and	and	CCONJ
bracis-28348	128	19	,	,	PUNCT
bracis-28348	128	20	accordingly	accordingly	ADV
bracis-28348	128	21	,	,	PUNCT
bracis-28348	128	22	\(e(b_i	\(e(b_i	PROPN
bracis-28348	128	23	,	,	PUNCT
bracis-28348	128	24	b_j	b_j	NUM
bracis-28348	128	25	)	)	PUNCT
bracis-28348	128	26	\in	\in	ADJ
bracis-28348	128	27	mnng_{b}\	mnng_{b}\	NOUN
bracis-28348	128	28	)	)	PUNCT
bracis-28348	128	29	.	.	PUNCT
bracis-28348	129	1	definition	definition	NOUN
bracis-28348	129	2	7	7	NUM
bracis-28348	129	3	summarized	summarize	VERB
bracis-28348	129	4	core	core	NOUN
bracis-28348	129	5	-	-	PUNCT
bracis-28348	129	6	sg	sg	PROPN
bracis-28348	129	7	(	(	PUNCT
bracis-28348	129	8	core	core	NOUN
bracis-28348	129	9	-	-	PUNCT
bracis-28348	129	10	ssg	ssg	NOUN
bracis-28348	129	11	):	):	PUNCT
bracis-28348	129	12	given	give	VERB
bracis-28348	129	13	a	a	DET
bracis-28348	129	14	maximum	maximum	ADJ
bracis-28348	129	15	value	value	NOUN
bracis-28348	129	16	for	for	ADP
bracis-28348	129	17	the	the	DET
bracis-28348	129	18	minimum	minimum	ADJ
bracis-28348	129	19	density	density	NOUN
bracis-28348	129	20	parameter	parameter	NOUN
bracis-28348	129	21	\(minpts_{max}\	\(minpts_{max}\	PROPN
bracis-28348	129	22	)	)	PUNCT
bracis-28348	129	23	,	,	PUNCT
bracis-28348	129	24	the	the	DET
bracis-28348	129	25	core	core	NOUN
bracis-28348	129	26	-	-	PUNCT
bracis-28348	129	27	ssg\(_{minpts_{max	ssg\(_{minpts_{max	NOUN
bracis-28348	129	28	}	}	PUNCT
bracis-28348	129	29	}	}	PUNCT
bracis-28348	129	30	\	\	NOUN
bracis-28348	129	31	)	)	PUNCT
bracis-28348	129	32	=	=	SYM
bracis-28348	129	33	\	\	PROPN
bracis-28348	129	34	(	(	PUNCT
bracis-28348	129	35	mnng_{minpts_{max	mnng_{minpts_{max	X
bracis-28348	129	36	}	}	PUNCT
bracis-28348	129	37	}	}	PUNCT
bracis-28348	129	38	\cup	\cup	VERB
bracis-28348	129	39	mst_{minpts_{max	mst_{minpts_{max	NOUN
bracis-28348	129	40	}	}	PUNCT
bracis-28348	129	41	}	}	PUNCT
bracis-28348	129	42	\	\	NOUN
bracis-28348	129	43	)	)	PUNCT
bracis-28348	129	44	is	be	AUX
bracis-28348	129	45	a	a	DET
bracis-28348	129	46	non	non	ADJ
bracis-28348	129	47	-	-	ADJ
bracis-28348	129	48	directional	directional	ADJ
bracis-28348	129	49	graph	graph	NOUN
bracis-28348	129	50	that	that	PRON
bracis-28348	129	51	contains	contain	VERB
bracis-28348	129	52	the	the	DET
bracis-28348	129	53	edges	edge	NOUN
bracis-28348	129	54	of	of	ADP
bracis-28348	129	55	all	all	DET
bracis-28348	129	56	\(mst_{minpts}\	\(mst_{minpts}\	NOUN
bracis-28348	129	57	)	)	PUNCT
bracis-28348	129	58	of	of	ADP
bracis-28348	129	59	\(g_{minpts}\	\(g_{minpts}\	PROPN
bracis-28348	129	60	)	)	PUNCT
bracis-28348	129	61	for	for	ADP
bracis-28348	129	62	each	each	DET
bracis-28348	129	63	value	value	NOUN
bracis-28348	129	64	of	of	ADP
bracis-28348	129	65	\(minpts	\(minpt	NOUN
bracis-28348	129	66	<	<	X
bracis-28348	129	67	minpts_{max}\	minpts_{max}\	NUM
bracis-28348	129	68	)	)	PUNCT
bracis-28348	129	69	.	.	PUNCT
bracis-28348	130	1	this	this	DET
bracis-28348	130	2	feature	feature	NOUN
bracis-28348	130	3	allows	allow	VERB
bracis-28348	130	4	replacing	replace	VERB
bracis-28348	130	5	g	g	PRON
bracis-28348	130	6	by	by	ADP
bracis-28348	130	7	core	core	NOUN
bracis-28348	130	8	-	-	PUNCT
bracis-28348	130	9	ssg\(_{minpts_{max}}\	ssg\(_{minpts_{max}}\	NOUN
bracis-28348	130	10	)	)	PUNCT
bracis-28348	130	11	in	in	ADP
bracis-28348	130	12	the	the	DET
bracis-28348	130	13	process	process	NOUN
bracis-28348	130	14	of	of	ADP
bracis-28348	130	15	extracting	extract	VERB
bracis-28348	130	16	a	a	DET
bracis-28348	130	17	\(mst_{minpts}\	\(mst_{minpts}\	NOUN
bracis-28348	130	18	)	)	PUNCT
bracis-28348	130	19	,	,	PUNCT
bracis-28348	130	20	simply	simply	ADV
bracis-28348	130	21	replacing	replace	VERB
bracis-28348	130	22	the	the	DET
bracis-28348	130	23	weight	weight	NOUN
bracis-28348	130	24	of	of	ADP
bracis-28348	130	25	the	the	DET
bracis-28348	130	26	edges	edge	NOUN
bracis-28348	130	27	\(e(b_i	\(e(b_i	PROPN
bracis-28348	130	28	,	,	PUNCT
bracis-28348	130	29	b_j)\	b_j)\	NOUN
bracis-28348	130	30	)	)	PUNCT
bracis-28348	130	31	in	in	ADP
bracis-28348	130	32	core	core	NOUN
bracis-28348	130	33	-	-	PUNCT
bracis-28348	130	34	ssg\(_{minpts_{max}}\	ssg\(_{minpts_{max}}\	NOUN
bracis-28348	130	35	)	)	PUNCT
bracis-28348	130	36	by	by	ADP
bracis-28348	130	37	\(w(e	\(w(e	PROPN
bracis-28348	130	38	)	)	PUNCT
bracis-28348	130	39	=	=	SYM
bracis-28348	130	40	mrd_{minpts}(b_i	mrd_{minpts}(b_i	NOUN
bracis-28348	130	41	,	,	PUNCT
bracis-28348	130	42	b_j)\	b_j)\	NOUN
bracis-28348	130	43	)	)	PUNCT
bracis-28348	130	44	to	to	ADP
bracis-28348	130	45	\(minpts	\(minpt	NOUN
bracis-28348	130	46	<	<	X
bracis-28348	130	47	minpts_{max}\	minpts_{max}\	NUM
bracis-28348	130	48	)	)	PUNCT
bracis-28348	130	49	.	.	PUNCT
bracis-28348	131	1	theorem	theorem	VERB
bracis-28348	131	2	1	1	NUM
bracis-28348	131	3	:	:	PUNCT
bracis-28348	131	4	for	for	ADP
bracis-28348	131	5	two	two	NUM
bracis-28348	131	6	values	value	NOUN
bracis-28348	131	7	p	p	NOUN
bracis-28348	131	8	and	and	CCONJ
bracis-28348	131	9	q	q	NOUN
bracis-28348	131	10	for	for	ADP
bracis-28348	131	11	the	the	DET
bracis-28348	131	12	density	density	NOUN
bracis-28348	131	13	parameter	parameter	PROPN
bracis-28348	131	14	minpts	minpt	NOUN
bracis-28348	131	15	,	,	PUNCT
bracis-28348	131	16	let	let	VERB
bracis-28348	131	17	\(m_p\	\(m_p\	NOUN
bracis-28348	131	18	)	)	PUNCT
bracis-28348	131	19	be	be	VERB
bracis-28348	131	20	the	the	DET
bracis-28348	131	21	set	set	NOUN
bracis-28348	131	22	of	of	ADP
bracis-28348	131	23	all	all	DET
bracis-28348	131	24	possible	possible	ADJ
bracis-28348	131	25	msts	mst	NOUN
bracis-28348	131	26	of	of	ADP
bracis-28348	131	27	\(g_p\	\(g_p\	NOUN
bracis-28348	131	28	)	)	PUNCT
bracis-28348	131	29	,	,	PUNCT
bracis-28348	131	30	and	and	CCONJ
bracis-28348	131	31	let	let	VERB
bracis-28348	131	32	\(mst_q\	\(mst_q\	PROPN
bracis-28348	131	33	)	)	PUNCT
bracis-28348	131	34	be	be	AUX
bracis-28348	131	35	any	any	DET
bracis-28348	131	36	mst	mst	NOUN
bracis-28348	131	37	of	of	ADP
bracis-28348	131	38	\(g_q	\(g_q	DET
bracis-28348	131	39	\	\	NOUN
bracis-28348	131	40	)	)	PUNCT
bracis-28348	131	41	,	,	PUNCT
bracis-28348	131	42	so	so	ADV
bracis-28348	131	43	\(\forall	\(\forall	ADV
bracis-28348	131	44	\	\	PUNCT
bracis-28348	132	1	p	p	X
bracis-28348	132	2	<	<	X
bracis-28348	132	3	q\	q\	X
bracis-28348	132	4	):	):	PUNCT
bracis-28348	132	5	\(\exists	\(\exist	NOUN
bracis-28348	132	6	mst_p	mst_p	VERB
bracis-28348	132	7	\in	\in	PROPN
bracis-28348	132	8	m_p\	m_p\	PROPN
bracis-28348	132	9	):	):	PUNCT
bracis-28348	132	10	\(mst_p	\(mst_p	PROPN
bracis-28348	132	11	\subseteq	\subseteq	PROPN
bracis-28348	132	12	mst_q	mst_q	NOUN
bracis-28348	132	13	\cup	\cup	PUNCT
bracis-28348	132	14	mnng_q\	mnng_q\	PROPN
bracis-28348	132	15	)	)	PUNCT
bracis-28348	132	16	.	.	PUNCT
bracis-28348	133	1	proof	proof	NOUN
bracis-28348	133	2	:	:	PUNCT
bracis-28348	133	3	let	let	VERB
bracis-28348	133	4	’s	’s	NOUN
bracis-28348	133	5	consider	consider	VERB
bracis-28348	133	6	an	an	DET
bracis-28348	133	7	edge	edge	NOUN
bracis-28348	133	8	\(e(b_i	\(e(b_i	PROPN
bracis-28348	133	9	,	,	PUNCT
bracis-28348	133	10	b_j)\	b_j)\	NOUN
bracis-28348	133	11	)	)	PUNCT
bracis-28348	133	12	in	in	ADP
bracis-28348	133	13	a	a	DET
bracis-28348	133	14	\(mst_{p}^	\(mst_{p}^	NOUN
bracis-28348	133	15	{	{	PUNCT
bracis-28348	133	16	*	*	ADJ
bracis-28348	133	17	}	}	SYM
bracis-28348	133	18	\in	\in	PROPN
bracis-28348	133	19	m_p\	m_p\	NOUN
bracis-28348	133	20	)	)	PUNCT
bracis-28348	133	21	that	that	PRON
bracis-28348	133	22	connects	connect	VERB
bracis-28348	133	23	two	two	NUM
bracis-28348	133	24	subgraphs	subgraph	NOUN
bracis-28348	133	25	i	i	PRON
bracis-28348	133	26	and	and	CCONJ
bracis-28348	133	27	j.	j.	PROPN
bracis-28348	133	28	the	the	DET
bracis-28348	133	29	edge	edge	NOUN
bracis-28348	133	30	weight	weight	NOUN
bracis-28348	133	31	\(e(b_i	\(e(b_i	PROPN
bracis-28348	133	32	,	,	PUNCT
bracis-28348	133	33	b_j)\	b_j)\	NOUN
bracis-28348	133	34	)	)	PUNCT
bracis-28348	133	35	is	be	AUX
bracis-28348	133	36	defined	define	VERB
bracis-28348	133	37	by	by	ADP
bracis-28348	133	38	\(mrd_{p}(b_i	\(mrd_{p}(b_i	PROPN
bracis-28348	133	39	,	,	PUNCT
bracis-28348	133	40	b_j)\	b_j)\	NOUN
bracis-28348	133	41	)	)	PUNCT
bracis-28348	133	42	,	,	PUNCT
bracis-28348	133	43	which	which	PRON
bracis-28348	133	44	is	be	AUX
bracis-28348	133	45	the	the	DET
bracis-28348	133	46	maximum	maximum	NOUN
bracis-28348	133	47	between	between	ADP
bracis-28348	133	48	\(dist(b_i	\(dist(b_i	PROPN
bracis-28348	133	49	,	,	PUNCT
bracis-28348	133	50	b_j)\	b_j)\	NOUN
bracis-28348	133	51	)	)	PUNCT
bracis-28348	133	52	and	and	CCONJ
bracis-28348	133	53	their	their	PRON
bracis-28348	133	54	core	core	NOUN
bracis-28348	133	55	distances	distance	NOUN
bracis-28348	133	56	\(core_p(b_i	\(core_p(b_i	NOUN
bracis-28348	133	57	)	)	PUNCT
bracis-28348	133	58	\	\	NOUN
bracis-28348	133	59	)	)	PUNCT
bracis-28348	133	60	and	and	CCONJ
bracis-28348	133	61	\(core_p(b_j)\	\(core_p(b_j)\	ADJ
bracis-28348	133	62	)	)	PUNCT
bracis-28348	133	63	,	,	PUNCT
bracis-28348	133	64	according	accord	VERB
bracis-28348	133	65	to	to	ADP
bracis-28348	133	66	definition	definition	NOUN
bracis-28348	133	67	4	4	NUM
bracis-28348	133	68	.	.	PUNCT
bracis-28348	134	1	due	due	ADP
bracis-28348	134	2	to	to	ADP
bracis-28348	134	3	the	the	DET
bracis-28348	134	4	cutting	cut	VERB
bracis-28348	134	5	property	property	NOUN
bracis-28348	134	6	of	of	ADP
bracis-28348	134	7	msts	mst	NOUN
bracis-28348	134	8	,	,	PUNCT
bracis-28348	134	9	\(e(b_i	\(e(b_i	PROPN
bracis-28348	134	10	,	,	PUNCT
bracis-28348	134	11	b_j)\	b_j)\	NOUN
bracis-28348	134	12	)	)	PUNCT
bracis-28348	134	13	must	must	AUX
bracis-28348	134	14	have	have	VERB
bracis-28348	134	15	the	the	DET
bracis-28348	134	16	lowest	low	ADJ
bracis-28348	134	17	weight	weight	NOUN
bracis-28348	134	18	among	among	ADP
bracis-28348	134	19	all	all	DET
bracis-28348	134	20	the	the	DET
bracis-28348	134	21	edges	edge	NOUN
bracis-28348	134	22	that	that	PRON
bracis-28348	134	23	connect	connect	VERB
bracis-28348	134	24	the	the	DET
bracis-28348	134	25	sets	set	NOUN
bracis-28348	134	26	i	i	PRON
bracis-28348	134	27	and	and	CCONJ
bracis-28348	134	28	j	j	PROPN
bracis-28348	134	29	in	in	ADP
bracis-28348	134	30	\(g_p\	\(g_p\	PROPN
bracis-28348	134	31	)	)	PUNCT
bracis-28348	134	32	.	.	PUNCT
bracis-28348	135	1	there	there	PRON
bracis-28348	135	2	are	be	VERB
bracis-28348	135	3	two	two	NUM
bracis-28348	135	4	scenarios	scenario	NOUN
bracis-28348	135	5	:	:	PUNCT
bracis-28348	135	6	(	(	PUNCT
bracis-28348	135	7	1	1	X
bracis-28348	135	8	)	)	PUNCT
bracis-28348	135	9	\(e(b_i	\(e(b_i	PROPN
bracis-28348	135	10	,	,	PUNCT
bracis-28348	135	11	b_j	b_j	NUM
bracis-28348	135	12	)	)	PUNCT
bracis-28348	135	13	\in	\in	PROPN
bracis-28348	135	14	mst_q\	mst_q\	PROPN
bracis-28348	135	15	)	)	PUNCT
bracis-28348	135	16	(	(	PUNCT
bracis-28348	135	17	2	2	X
bracis-28348	135	18	)	)	PUNCT
bracis-28348	135	19	\(e(b_i	\(e(b_i	PROPN
bracis-28348	135	20	,	,	PUNCT
bracis-28348	135	21	b_j	b_j	NUM
bracis-28348	135	22	)	)	PUNCT
bracis-28348	135	23	\notin	\notin	ADP
bracis-28348	135	24	mst_q\	mst_q\	PROPN
bracis-28348	135	25	)	)	PUNCT
bracis-28348	135	26	in	in	ADP
bracis-28348	135	27	scenario	scenario	NOUN
bracis-28348	135	28	(	(	PUNCT
bracis-28348	135	29	1	1	NUM
bracis-28348	135	30	)	)	PUNCT
bracis-28348	135	31	,	,	PUNCT
bracis-28348	135	32	since	since	SCONJ
bracis-28348	135	33	\(e(b_i	\(e(b_i	PROPN
bracis-28348	135	34	,	,	PUNCT
bracis-28348	135	35	b_j	b_j	NUM
bracis-28348	135	36	)	)	PUNCT
bracis-28348	135	37	\in	\in	PROPN
bracis-28348	135	38	mst_q\	mst_q\	PROPN
bracis-28348	135	39	)	)	PUNCT
bracis-28348	135	40	,	,	PUNCT
bracis-28348	135	41	it	it	PRON
bracis-28348	135	42	trivially	trivially	ADV
bracis-28348	135	43	follows	follow	VERB
bracis-28348	135	44	that	that	SCONJ
bracis-28348	135	45	\(e(b_i	\(e(b_i	PROPN
bracis-28348	135	46	,	,	PUNCT
bracis-28348	135	47	b_j	b_j	NUM
bracis-28348	135	48	)	)	PUNCT
bracis-28348	135	49	\in	\in	ADJ
bracis-28348	135	50	mst_q	mst_q	NOUN
bracis-28348	135	51	\cup	\cup	PUNCT
bracis-28348	135	52	mnng_q\	mnng_q\	PROPN
bracis-28348	135	53	)	)	PUNCT
bracis-28348	135	54	.	.	PUNCT
bracis-28348	136	1	in	in	ADP
bracis-28348	136	2	scenario	scenario	NOUN
bracis-28348	136	3	(	(	PUNCT
bracis-28348	136	4	2	2	NUM
bracis-28348	136	5	)	)	PUNCT
bracis-28348	136	6	,	,	PUNCT
bracis-28348	136	7	\(mst_q\	\(mst_q\	PROPN
bracis-28348	136	8	)	)	PUNCT
bracis-28348	136	9	must	must	AUX
bracis-28348	136	10	have	have	VERB
bracis-28348	136	11	a	a	DET
bracis-28348	136	12	different	different	ADJ
bracis-28348	136	13	edge	edge	NOUN
bracis-28348	136	14	\(e(c_i	\(e(c_i	NUM
bracis-28348	136	15	,	,	PUNCT
bracis-28348	136	16	c_j)\	c_j)\	NOUN
bracis-28348	136	17	)	)	PUNCT
bracis-28348	136	18	that	that	PRON
bracis-28348	136	19	connects	connect	VERB
bracis-28348	136	20	the	the	DET
bracis-28348	136	21	dbs	dbs	PROPN
bracis-28348	136	22	\(c_i\	\(c_i\	PROPN
bracis-28348	136	23	)	)	PUNCT
bracis-28348	136	24	and	and	CCONJ
bracis-28348	136	25	\(c_j\	\(c_j\	NOUN
bracis-28348	136	26	)	)	PUNCT
bracis-28348	136	27	that	that	PRON
bracis-28348	136	28	are	be	AUX
bracis-28348	136	29	contained	contain	VERB
bracis-28348	136	30	in	in	ADP
bracis-28348	136	31	the	the	DET
bracis-28348	136	32	graphs	graph	NOUN
bracis-28348	136	33	i	i	PRON
bracis-28348	136	34	and	and	CCONJ
bracis-28348	136	35	j	j	PROPN
bracis-28348	136	36	,	,	PUNCT
bracis-28348	136	37	respectively	respectively	ADV
bracis-28348	136	38	,	,	PUNCT
bracis-28348	136	39	having	have	VERB
bracis-28348	136	40	the	the	DET
bracis-28348	136	41	lowest	low	ADJ
bracis-28348	136	42	weight	weight	NOUN
bracis-28348	136	43	among	among	ADP
bracis-28348	136	44	the	the	DET
bracis-28348	136	45	edges	edge	NOUN
bracis-28348	136	46	that	that	PRON
bracis-28348	136	47	connect	connect	VERB
bracis-28348	136	48	these	these	DET
bracis-28348	136	49	graphs	graph	NOUN
bracis-28348	136	50	(	(	PUNCT
bracis-28348	136	51	msts	mst	NOUN
bracis-28348	136	52	are	be	AUX
bracis-28348	136	53	connected	connect	VERB
bracis-28348	136	54	graphs	graph	NOUN
bracis-28348	136	55	)	)	PUNCT
bracis-28348	136	56	.	.	PUNCT
bracis-28348	137	1	thus	thus	ADV
bracis-28348	137	2	,	,	PUNCT
bracis-28348	137	3	the	the	DET
bracis-28348	137	4	following	follow	VERB
bracis-28348	137	5	two	two	NUM
bracis-28348	137	6	statements	statement	NOUN
bracis-28348	137	7	must	must	AUX
bracis-28348	137	8	be	be	AUX
bracis-28348	137	9	true	true	ADJ
bracis-28348	137	10	(	(	PUNCT
bracis-28348	137	11	i	i	NOUN
bracis-28348	137	12	)	)	PUNCT
bracis-28348	137	13	\(mrd_p(b_i	\(mrd_p(b_i	PROPN
bracis-28348	137	14	,	,	PUNCT
bracis-28348	137	15	b_j	b_j	NUM
bracis-28348	137	16	)	)	PUNCT
bracis-28348	137	17	\le	\le	NOUN
bracis-28348	137	18	\	\	ADJ
bracis-28348	137	19	)	)	PUNCT
bracis-28348	137	20	\(mrd_p(c_i	\(mrd_p(c_i	PROPN
bracis-28348	137	21	,	,	PUNCT
bracis-28348	137	22	c_j)\	c_j)\	NOUN
bracis-28348	137	23	)	)	PUNCT
bracis-28348	137	24	(	(	PUNCT
bracis-28348	137	25	otherwise	otherwise	ADV
bracis-28348	137	26	\(e(b_i	\(e(b_i	PROPN
bracis-28348	137	27	,	,	PUNCT
bracis-28348	137	28	b_j)\	b_j)\	NOUN
bracis-28348	137	29	)	)	PUNCT
bracis-28348	137	30	could	could	AUX
bracis-28348	137	31	not	not	PART
bracis-28348	137	32	be	be	AUX
bracis-28348	137	33	the	the	DET
bracis-28348	137	34	edge	edge	NOUN
bracis-28348	137	35	with	with	ADP
bracis-28348	137	36	the	the	DET
bracis-28348	137	37	smallest	small	ADJ
bracis-28348	137	38	weight	weight	NOUN
bracis-28348	137	39	connecting	connect	VERB
bracis-28348	137	40	i	i	PRON
bracis-28348	137	41	and	and	CCONJ
bracis-28348	137	42	j	j	PROPN
bracis-28348	137	43	in	in	ADP
bracis-28348	137	44	\(mst_p^{*}\	\(mst_p^{*}\	NOUN
bracis-28348	137	45	)	)	PUNCT
bracis-28348	137	46	)	)	PUNCT
bracis-28348	138	1	and	and	CCONJ
bracis-28348	138	2	(	(	PUNCT
bracis-28348	138	3	ii	ii	NOUN
bracis-28348	138	4	)	)	PUNCT
bracis-28348	138	5	\(mrd_q(b_i	\(mrd_q(b_i	PROPN
bracis-28348	138	6	,	,	PUNCT
bracis-28348	138	7	b_j	b_j	NUM
bracis-28348	138	8	)	)	PUNCT
bracis-28348	138	9	\ge	\ge	PROPN
bracis-28348	138	10	\	\	PROPN
bracis-28348	138	11	)	)	PUNCT
bracis-28348	138	12	\(mrd_q	\(mrd_q	PROPN
bracis-28348	138	13	(	(	PUNCT
bracis-28348	138	14	c_i	c_i	ADV
bracis-28348	138	15	,	,	PUNCT
bracis-28348	138	16	c_j)\	c_j)\	NOUN
bracis-28348	138	17	)	)	PUNCT
bracis-28348	138	18	(	(	PUNCT
bracis-28348	138	19	otherwise	otherwise	ADV
bracis-28348	138	20	\(e(c_i	\(e(c_i	NUM
bracis-28348	138	21	,	,	PUNCT
bracis-28348	138	22	c_j)\	c_j)\	NOUN
bracis-28348	138	23	)	)	PUNCT
bracis-28348	138	24	could	could	AUX
bracis-28348	138	25	not	not	PART
bracis-28348	138	26	be	be	AUX
bracis-28348	138	27	the	the	DET
bracis-28348	138	28	least	least	ADJ
bracis-28348	138	29	weighted	weight	VERB
bracis-28348	138	30	edge	edge	NOUN
bracis-28348	138	31	connecting	connect	VERB
bracis-28348	138	32	i	i	PRON
bracis-28348	138	33	and	and	CCONJ
bracis-28348	138	34	j	j	PROPN
bracis-28348	138	35	in	in	ADP
bracis-28348	138	36	\(mst_q\	\(mst_q\	PROPN
bracis-28348	138	37	)	)	PUNCT
bracis-28348	138	38	)	)	PUNCT
bracis-28348	138	39	.	.	PUNCT
bracis-28348	139	1	we	we	PRON
bracis-28348	139	2	saw	see	VERB
bracis-28348	139	3	in	in	ADP
bracis-28348	139	4	definition	definition	NOUN
bracis-28348	139	5	3	3	NUM
bracis-28348	139	6	that	that	SCONJ
bracis-28348	139	7	by	by	ADP
bracis-28348	139	8	increasing	increase	VERB
bracis-28348	139	9	the	the	DET
bracis-28348	139	10	value	value	NOUN
bracis-28348	139	11	of	of	ADP
bracis-28348	139	12	minpts	minpt	NOUN
bracis-28348	139	13	,	,	PUNCT
bracis-28348	139	14	the	the	DET
bracis-28348	139	15	core	core	NOUN
bracis-28348	139	16	distances	distance	NOUN
bracis-28348	139	17	\(core_{minpts}(\cdot	\(core_{minpts}(\cdot	NOUN
bracis-28348	139	18	)	)	PUNCT
bracis-28348	139	19	\	\	NOUN
bracis-28348	139	20	)	)	PUNCT
bracis-28348	139	21	can	can	AUX
bracis-28348	139	22	only	only	ADV
bracis-28348	139	23	grow	grow	VERB
bracis-28348	139	24	and	and	CCONJ
bracis-28348	139	25	the	the	DET
bracis-28348	139	26	distance	distance	NOUN
bracis-28348	139	27	\(dist(\cdot	\(dist(\cdot	ADV
bracis-28348	139	28	,	,	PUNCT
bracis-28348	139	29	\cdot	\cdot	NOUN
bracis-28348	139	30	)	)	PUNCT
bracis-28348	139	31	\	\	NOUN
bracis-28348	139	32	)	)	PUNCT
bracis-28348	139	33	between	between	ADP
bracis-28348	139	34	two	two	NUM
bracis-28348	139	35	dbs	dbs	NOUN
bracis-28348	139	36	is	be	AUX
bracis-28348	139	37	constant	constant	ADJ
bracis-28348	139	38	.	.	PUNCT
bracis-28348	140	1	therefore	therefore	ADV
bracis-28348	140	2	,	,	PUNCT
bracis-28348	140	3	the	the	DET
bracis-28348	140	4	weight	weight	NOUN
bracis-28348	140	5	of	of	ADP
bracis-28348	140	6	an	an	DET
bracis-28348	140	7	edge	edge	NOUN
bracis-28348	140	8	,	,	PUNCT
bracis-28348	140	9	given	give	VERB
bracis-28348	140	10	by	by	ADP
bracis-28348	140	11	\(mrd_{minpts}(\cdot	\(mrd_{minpts}(\cdot	ADJ
bracis-28348	140	12	,	,	PUNCT
bracis-28348	140	13	\cdot	\cdot	NOUN
bracis-28348	140	14	)	)	PUNCT
bracis-28348	140	15	\	\	PROPN
bracis-28348	140	16	)	)	PUNCT
bracis-28348	140	17	,	,	PUNCT
bracis-28348	140	18	can	can	AUX
bracis-28348	140	19	not	not	PART
bracis-28348	140	20	decrease	decrease	VERB
bracis-28348	140	21	when	when	SCONJ
bracis-28348	140	22	the	the	DET
bracis-28348	140	23	value	value	NOUN
bracis-28348	140	24	of	of	ADP
bracis-28348	140	25	minpts	minpt	NOUN
bracis-28348	140	26	increases	increase	NOUN
bracis-28348	140	27	.	.	PUNCT
bracis-28348	141	1	consequently	consequently	ADV
bracis-28348	141	2	,	,	PUNCT
bracis-28348	141	3	the	the	DET
bracis-28348	141	4	mutual	mutual	ADJ
bracis-28348	141	5	reachability	reachability	NOUN
bracis-28348	141	6	distances	distance	NOUN
bracis-28348	141	7	(	(	PUNCT
bracis-28348	141	8	edge	edge	NOUN
bracis-28348	141	9	weights	weight	NOUN
bracis-28348	141	10	)	)	PUNCT
bracis-28348	141	11	,	,	PUNCT
bracis-28348	141	12	defined	define	VERB
bracis-28348	141	13	in	in	ADP
bracis-28348	141	14	eq	eq	PROPN
bracis-28348	141	15	.	.	PUNCT
bracis-28348	141	16	 	 	SPACE
bracis-28348	141	17	3	3	NUM
bracis-28348	141	18	,	,	PUNCT
bracis-28348	141	19	can	can	AUX
bracis-28348	141	20	only	only	ADV
bracis-28348	141	21	remain	remain	VERB
bracis-28348	141	22	the	the	DET
bracis-28348	141	23	same	same	ADJ
bracis-28348	141	24	or	or	CCONJ
bracis-28348	141	25	increase	increase	NOUN
bracis-28348	141	26	.	.	PUNCT
bracis-28348	142	1	therefore	therefore	ADV
bracis-28348	142	2	,	,	PUNCT
bracis-28348	142	3	when	when	SCONJ
bracis-28348	142	4	minpts	minpt	NOUN
bracis-28348	142	5	increases	increase	VERB
bracis-28348	142	6	from	from	ADP
bracis-28348	142	7	p	p	NOUN
bracis-28348	142	8	to	to	ADP
bracis-28348	142	9	q	q	PROPN
bracis-28348	142	10	(	(	PUNCT
bracis-28348	142	11	\(p	\(p	X
bracis-28348	142	12	<	<	X
bracis-28348	142	13	q\	q\	X
bracis-28348	142	14	)	)	PUNCT
bracis-28348	142	15	by	by	ADP
bracis-28348	142	16	assumption	assumption	NOUN
bracis-28348	142	17	in	in	ADP
bracis-28348	142	18	the	the	DET
bracis-28348	142	19	theorem	theorem	NOUN
bracis-28348	142	20	)	)	PUNCT
bracis-28348	142	21	,	,	PUNCT
bracis-28348	142	22	one	one	NUM
bracis-28348	142	23	of	of	ADP
bracis-28348	142	24	the	the	DET
bracis-28348	142	25	following	following	NOUN
bracis-28348	142	26	must	must	AUX
bracis-28348	142	27	be	be	AUX
bracis-28348	142	28	true	true	ADJ
bracis-28348	142	29	:	:	PUNCT
bracis-28348	142	30	(	(	PUNCT
bracis-28348	142	31	a	a	X
bracis-28348	142	32	)	)	PUNCT
bracis-28348	142	33	\(mrd_p(b_i	\(mrd_p(b_i	PROPN
bracis-28348	142	34	,	,	PUNCT
bracis-28348	142	35	b_j	b_j	NUM
bracis-28348	142	36	)	)	PUNCT
bracis-28348	142	37	<	<	X
bracis-28348	142	38	mrd_q(b_i	mrd_q(b_i	PROPN
bracis-28348	142	39	,	,	PUNCT
bracis-28348	142	40	b_j)\	b_j)\	NOUN
bracis-28348	142	41	)	)	PUNCT
bracis-28348	142	42	(	(	PUNCT
bracis-28348	142	43	b	b	NOUN
bracis-28348	142	44	)	)	PUNCT
bracis-28348	142	45	\(mrd_p(b_i	\(mrd_p(b_i	PROPN
bracis-28348	142	46	,	,	PUNCT
bracis-28348	142	47	b_j	b_j	NUM
bracis-28348	142	48	)	)	PUNCT
bracis-28348	142	49	=	=	SYM
bracis-28348	142	50	mrd_q(b_i	mrd_q(b_i	PROPN
bracis-28348	142	51	,	,	PUNCT
bracis-28348	142	52	b_j)\	b_j)\	NOUN
bracis-28348	142	53	)	)	PUNCT
bracis-28348	142	54	if	if	SCONJ
bracis-28348	142	55	(	(	PUNCT
bracis-28348	142	56	a	a	X
bracis-28348	142	57	)	)	PUNCT
bracis-28348	142	58	is	be	AUX
bracis-28348	142	59	true	true	ADJ
bracis-28348	142	60	,	,	PUNCT
bracis-28348	142	61	as	as	SCONJ
bracis-28348	142	62	the	the	DET
bracis-28348	142	63	distance	distance	NOUN
bracis-28348	142	64	\(dist(\cdot	\(dist(\cdot	ADV
bracis-28348	142	65	,	,	PUNCT
bracis-28348	142	66	\cdot	\cdot	NOUN
bracis-28348	142	67	)	)	PUNCT
bracis-28348	142	68	\	\	NOUN
bracis-28348	142	69	)	)	PUNCT
bracis-28348	142	70	between	between	ADP
bracis-28348	142	71	two	two	NUM
bracis-28348	142	72	dbs	dbs	NOUN
bracis-28348	142	73	does	do	AUX
bracis-28348	142	74	not	not	PART
bracis-28348	142	75	depend	depend	VERB
bracis-28348	142	76	on	on	ADP
bracis-28348	142	77	minpts	minpt	NOUN
bracis-28348	142	78	,	,	PUNCT
bracis-28348	142	79	the	the	DET
bracis-28348	142	80	mutual	mutual	ADJ
bracis-28348	142	81	reachability	reachability	NOUN
bracis-28348	142	82	distance	distance	NOUN
bracis-28348	142	83	\(mrd_q(b_i	\(mrd_q(b_i	PROPN
bracis-28348	142	84	,	,	PUNCT
bracis-28348	142	85	b_j)\	b_j)\	NOUN
bracis-28348	142	86	)	)	PUNCT
bracis-28348	142	87	must	must	AUX
bracis-28348	142	88	be	be	AUX
bracis-28348	142	89	determined	determine	VERB
bracis-28348	142	90	by	by	ADP
bracis-28348	142	91	the	the	DET
bracis-28348	142	92	core	core	NOUN
bracis-28348	142	93	distance	distance	NOUN
bracis-28348	142	94	of	of	ADP
bracis-28348	142	95	\(b_i\	\(b_i\	NOUN
bracis-28348	142	96	)	)	PUNCT
bracis-28348	142	97	or	or	CCONJ
bracis-28348	142	98	\(b_j\	\(b_j\	ADJ
bracis-28348	142	99	)	)	PUNCT
bracis-28348	142	100	,	,	PUNCT
bracis-28348	142	101	i.e.	i.e.	X
bracis-28348	142	102	,	,	PUNCT
bracis-28348	142	103	\(mrd_q(b_i	\(mrd_q(b_i	PROPN
bracis-28348	142	104	,	,	PUNCT
bracis-28348	142	105	b_j	b_j	NUM
bracis-28348	142	106	)	)	PUNCT
bracis-28348	142	107	=	=	SYM
bracis-28348	142	108	max(core_q(b_i	max(core_q(b_i	PROPN
bracis-28348	142	109	)	)	PUNCT
bracis-28348	142	110	,	,	PUNCT
bracis-28348	142	111	core_q(b_j))\	core_q(b_j))\	PROPN
bracis-28348	142	112	)	)	PUNCT
bracis-28348	142	113	.	.	PUNCT
bracis-28348	143	1	from	from	ADP
bracis-28348	143	2	lemma	lemma	PROPN
bracis-28348	143	3	2	2	NUM
bracis-28348	143	4	with	with	ADP
bracis-28348	143	5	\(minpts	\(minpt	NOUN
bracis-28348	143	6	=	=	SYM
bracis-28348	143	7	q\	q\	X
bracis-28348	143	8	)	)	PUNCT
bracis-28348	143	9	it	it	PRON
bracis-28348	143	10	then	then	ADV
bracis-28348	143	11	follows	follow	VERB
bracis-28348	143	12	that	that	SCONJ
bracis-28348	143	13	\(e(b_i	\(e(b_i	PROPN
bracis-28348	143	14	,	,	PUNCT
bracis-28348	143	15	b_j	b_j	NUM
bracis-28348	143	16	)	)	PUNCT
bracis-28348	143	17	\in	\in	PROPN
bracis-28348	143	18	mnng_q\	mnng_q\	PROPN
bracis-28348	143	19	)	)	PUNCT
bracis-28348	143	20	and	and	CCONJ
bracis-28348	143	21	therefore	therefore	ADV
bracis-28348	143	22	\(e(b_i	\(e(b_i	PROPN
bracis-28348	143	23	,	,	PUNCT
bracis-28348	143	24	b_j	b_j	NUM
bracis-28348	143	25	)	)	PUNCT
bracis-28348	143	26	\in	\in	ADJ
bracis-28348	143	27	mst_q	mst_q	NOUN
bracis-28348	143	28	\cup	\cup	PUNCT
bracis-28348	143	29	mnng_q\	mnng_q\	PROPN
bracis-28348	143	30	)	)	PUNCT
bracis-28348	143	31	.	.	PUNCT
bracis-28348	144	1	if	if	SCONJ
bracis-28348	144	2	(	(	PUNCT
bracis-28348	144	3	b	b	X
bracis-28348	144	4	)	)	PUNCT
bracis-28348	144	5	is	be	AUX
bracis-28348	144	6	true	true	ADJ
bracis-28348	144	7	,	,	PUNCT
bracis-28348	144	8	then	then	ADV
bracis-28348	144	9	from	from	ADP
bracis-28348	144	10	statements	statement	NOUN
bracis-28348	144	11	(	(	PUNCT
bracis-28348	144	12	i	i	NOUN
bracis-28348	144	13	)	)	PUNCT
bracis-28348	144	14	and	and	CCONJ
bracis-28348	144	15	(	(	PUNCT
bracis-28348	144	16	ii	ii	NOUN
bracis-28348	144	17	)	)	PUNCT
bracis-28348	144	18	above	above	ADV
bracis-28348	144	19	,	,	PUNCT
bracis-28348	144	20	we	we	PRON
bracis-28348	144	21	have	have	AUX
bracis-28348	144	22	\(mrd_q	\(mrd_q	VERB
bracis-28348	144	23	(	(	PUNCT
bracis-28348	144	24	c_i	c_i	X
bracis-28348	144	25	,	,	PUNCT
bracis-28348	144	26	c_j	c_j	SYM
bracis-28348	144	27	)	)	PUNCT
bracis-28348	144	28	\le	\le	PROPN
bracis-28348	144	29	mrd_q(b_i	mrd_q(b_i	PROPN
bracis-28348	144	30	,	,	PUNCT
bracis-28348	144	31	b_j)\	b_j)\	NOUN
bracis-28348	144	32	)	)	PUNCT
bracis-28348	144	33	=	=	SYM
bracis-28348	144	34	\(mrd_p(b_i	\(mrd_p(b_i	PROPN
bracis-28348	144	35	,	,	PUNCT
bracis-28348	144	36	b_j	b_j	NUM
bracis-28348	144	37	)	)	PUNCT
bracis-28348	144	38	\le	\le	PROPN
bracis-28348	144	39	mrd_p(c_i	mrd_p(c_i	PROPN
bracis-28348	144	40	,	,	PUNCT
bracis-28348	144	41	c_j)\	c_j)\	NOUN
bracis-28348	144	42	)	)	PUNCT
bracis-28348	144	43	.	.	PUNCT
bracis-28348	145	1	however	however	ADV
bracis-28348	145	2	,	,	PUNCT
bracis-28348	145	3	since	since	SCONJ
bracis-28348	145	4	\(p	\(p	NOUN
bracis-28348	145	5	<	<	X
bracis-28348	145	6	q\	q\	X
bracis-28348	145	7	)	)	PUNCT
bracis-28348	145	8	and	and	CCONJ
bracis-28348	145	9	\(mrd_{minpts}\	\(mrd_{minpts}\	ADJ
bracis-28348	145	10	)	)	PUNCT
bracis-28348	145	11	can	can	AUX
bracis-28348	145	12	not	not	PART
bracis-28348	145	13	decrease	decrease	VERB
bracis-28348	145	14	when	when	SCONJ
bracis-28348	145	15	minpts	minpt	NOUN
bracis-28348	145	16	increases	increase	NOUN
bracis-28348	145	17	,	,	PUNCT
bracis-28348	145	18	it	it	PRON
bracis-28348	145	19	follows	follow	VERB
bracis-28348	145	20	that	that	SCONJ
bracis-28348	145	21	\(mrd_q(c_i	\(mrd_q(c_i	PROPN
bracis-28348	145	22	,	,	PUNCT
bracis-28348	145	23	c_j	c_j	NUM
bracis-28348	145	24	)	)	PUNCT
bracis-28348	145	25	=	=	SYM
bracis-28348	145	26	mrd_p(b_i	mrd_p(b_i	PROPN
bracis-28348	145	27	,	,	PUNCT
bracis-28348	145	28	b_j	b_j	NUM
bracis-28348	145	29	)	)	PUNCT
bracis-28348	145	30	=	=	SYM
bracis-28348	145	31	mrd_p(c_i	mrd_p(c_i	PROPN
bracis-28348	145	32	,	,	PUNCT
bracis-28348	145	33	c_j)\	c_j)\	NOUN
bracis-28348	145	34	)	)	PUNCT
bracis-28348	145	35	.	.	PUNCT
bracis-28348	146	1	in	in	ADP
bracis-28348	146	2	this	this	DET
bracis-28348	146	3	case	case	NOUN
bracis-28348	146	4	,	,	PUNCT
bracis-28348	146	5	replacing	replace	VERB
bracis-28348	146	6	\(e(b_i	\(e(b_i	PROPN
bracis-28348	146	7	,	,	PUNCT
bracis-28348	146	8	b_j)\	b_j)\	NOUN
bracis-28348	146	9	)	)	PUNCT
bracis-28348	146	10	in	in	ADP
bracis-28348	146	11	\(mst_p^{*}\	\(mst_p^{*}\	NOUN
bracis-28348	146	12	)	)	PUNCT
bracis-28348	146	13	with	with	ADP
bracis-28348	146	14	\(e(c_i	\(e(c_i	NUM
bracis-28348	146	15	,	,	PUNCT
bracis-28348	146	16	c_j)\	c_j)\	NOUN
bracis-28348	146	17	)	)	PUNCT
bracis-28348	146	18	will	will	AUX
bracis-28348	146	19	result	result	VERB
bracis-28348	146	20	in	in	ADP
bracis-28348	146	21	another	another	DET
bracis-28348	146	22	\(mst_p	\(mst_p	PROPN
bracis-28348	146	23	{	{	PUNCT
bracis-28348	146	24	'	'	PUNCT
bracis-28348	146	25	}	}	PUNCT
bracis-28348	146	26	\in	\in	PROPN
bracis-28348	146	27	m_p\	m_p\	NOUN
bracis-28348	146	28	)	)	PUNCT
bracis-28348	146	29	,	,	PUNCT
bracis-28348	146	30	as	as	SCONJ
bracis-28348	146	31	the	the	DET
bracis-28348	146	32	total	total	ADJ
bracis-28348	146	33	weight	weight	NOUN
bracis-28348	146	34	of	of	ADP
bracis-28348	146	35	\(mst_p	\(mst_p	PROPN
bracis-28348	146	36	^{*}\	^{*}\	ADJ
bracis-28348	146	37	)	)	PUNCT
bracis-28348	146	38	and	and	CCONJ
bracis-28348	146	39	\(mst_p{'}\	\(mst_p{'}\	PROPN
bracis-28348	146	40	)	)	PUNCT
bracis-28348	146	41	are	be	AUX
bracis-28348	146	42	the	the	DET
bracis-28348	146	43	same	same	ADJ
bracis-28348	146	44	.	.	PUNCT
bracis-28348	147	1	\(mst_p^{*}\	\(mst_p^{*}\	NOUN
bracis-28348	147	2	)	)	PUNCT
bracis-28348	147	3	includes	include	VERB
bracis-28348	147	4	the	the	DET
bracis-28348	147	5	edge	edge	NOUN
bracis-28348	147	6	\(e(c_i	\(e(c_i	NUM
bracis-28348	147	7	,	,	PUNCT
bracis-28348	147	8	c_j)\	c_j)\	NOUN
bracis-28348	147	9	)	)	PUNCT
bracis-28348	147	10	and	and	CCONJ
bracis-28348	147	11	by	by	ADP
bracis-28348	147	12	assumption	assumption	NOUN
bracis-28348	147	13	\(e(c_i	\(e(c_i	NUM
bracis-28348	147	14	,	,	PUNCT
bracis-28348	147	15	c_j	c_j	SYM
bracis-28348	147	16	)	)	PUNCT
bracis-28348	147	17	\in	\in	PROPN
bracis-28348	147	18	mst_q\	mst_q\	PROPN
bracis-28348	147	19	)	)	PUNCT
bracis-28348	147	20	,	,	PUNCT
bracis-28348	147	21	and	and	CCONJ
bracis-28348	147	22	therefore	therefore	ADV
bracis-28348	147	23	\(e(c_i	\(e(c_i	NUM
bracis-28348	147	24	,	,	PUNCT
bracis-28348	147	25	c_j	c_j	SYM
bracis-28348	147	26	)	)	PUNCT
bracis-28348	147	27	\in	\in	ADJ
bracis-28348	147	28	mst_q	mst_q	NOUN
bracis-28348	147	29	\cup	\cup	PUNCT
bracis-28348	147	30	mnng_q\	mnng_q\	PROPN
bracis-28348	147	31	)	)	PUNCT
bracis-28348	147	32	.	.	PUNCT
bracis-28348	148	1	it	it	PRON
bracis-28348	148	2	follows	follow	VERB
bracis-28348	148	3	that	that	SCONJ
bracis-28348	148	4	,	,	PUNCT
bracis-28348	148	5	given	give	VERB
bracis-28348	148	6	a	a	DET
bracis-28348	148	7	mst	mst	PROPN
bracis-28348	148	8	of	of	ADP
bracis-28348	148	9	\(g_q\	\(g_q\	PROPN
bracis-28348	148	10	)	)	PUNCT
bracis-28348	148	11	,	,	PUNCT
bracis-28348	148	12	\(mst_q\	\(mst_q\	PROPN
bracis-28348	148	13	)	)	PUNCT
bracis-28348	148	14	,	,	PUNCT
bracis-28348	148	15	and	and	CCONJ
bracis-28348	148	16	a	a	DET
bracis-28348	148	17	mst	mst	NOUN
bracis-28348	148	18	of	of	ADP
bracis-28348	148	19	\(g_p\	\(g_p\	PROPN
bracis-28348	148	20	)	)	PUNCT
bracis-28348	148	21	,	,	PUNCT
bracis-28348	148	22	\(mst_p^	\(mst_p^	X
bracis-28348	148	23	{	{	PUNCT
bracis-28348	148	24	*	*	ADJ
bracis-28348	148	25	}	}	SYM
bracis-28348	148	26	\in	\in	ADJ
bracis-28348	148	27	m_p\	m_p\	NOUN
bracis-28348	148	28	)	)	PUNCT
bracis-28348	148	29	,	,	PUNCT
bracis-28348	148	30	with	with	ADP
bracis-28348	148	31	\(q	\(q	NOUN
bracis-28348	148	32	>	>	PUNCT
bracis-28348	148	33	p\	p\	NOUN
bracis-28348	148	34	)	)	PUNCT
bracis-28348	148	35	,	,	PUNCT
bracis-28348	148	36	we	we	PRON
bracis-28348	148	37	can	can	AUX
bracis-28348	148	38	construct	construct	VERB
bracis-28348	148	39	a	a	DET
bracis-28348	148	40	weighted	weight	VERB
bracis-28348	148	41	graph	graph	NOUN
bracis-28348	148	42	\(mst_p{'}\	\(mst_p{'}\	PROPN
bracis-28348	148	43	)	)	PUNCT
bracis-28348	148	44	as	as	SCONJ
bracis-28348	148	45	follows	follow	VERB
bracis-28348	148	46	:	:	PUNCT
bracis-28348	148	47	(	(	PUNCT
bracis-28348	148	48	1	1	X
bracis-28348	148	49	)	)	PUNCT
bracis-28348	148	50	include	include	VERB
bracis-28348	148	51	all	all	DET
bracis-28348	148	52	edges	edge	NOUN
bracis-28348	148	53	and	and	CCONJ
bracis-28348	148	54	edge	edge	VERB
bracis-28348	148	55	weights	weight	NOUN
bracis-28348	148	56	\(e(b_i	\(e(b_i	PROPN
bracis-28348	148	57	,	,	PUNCT
bracis-28348	148	58	b_j	b_j	NUM
bracis-28348	148	59	)	)	PUNCT
bracis-28348	148	60	\in	\in	ADJ
bracis-28348	148	61	mst_p\	mst_p\	NOUN
bracis-28348	148	62	)	)	PUNCT
bracis-28348	148	63	that	that	PRON
bracis-28348	148	64	belong	belong	VERB
bracis-28348	148	65	to	to	ADP
bracis-28348	148	66	\(mst_q	\(mst_q	PROPN
bracis-28348	148	67	\cup	\cup	ADP
bracis-28348	148	68	mnng_q\	mnng_q\	PROPN
bracis-28348	148	69	)	)	PUNCT
bracis-28348	148	70	(	(	PUNCT
bracis-28348	148	71	according	accord	VERB
bracis-28348	148	72	to	to	ADP
bracis-28348	148	73	scenarios	scenario	NOUN
bracis-28348	148	74	(	(	PUNCT
bracis-28348	148	75	1	1	NUM
bracis-28348	148	76	)	)	PUNCT
bracis-28348	148	77	or	or	CCONJ
bracis-28348	148	78	(	(	PUNCT
bracis-28348	148	79	2)-a	2)-a	NUM
bracis-28348	148	80	)	)	PUNCT
bracis-28348	148	81	;	;	PUNCT
bracis-28348	148	82	(	(	PUNCT
bracis-28348	148	83	2	2	X
bracis-28348	148	84	)	)	PUNCT
bracis-28348	148	85	replace	replace	VERB
bracis-28348	148	86	all	all	DET
bracis-28348	148	87	edges	edge	NOUN
bracis-28348	148	88	\(e(b_i	\(e(b_i	PROPN
bracis-28348	148	89	,	,	PUNCT
bracis-28348	148	90	b_j	b_j	NUM
bracis-28348	148	91	)	)	PUNCT
bracis-28348	148	92	\in	\in	ADJ
bracis-28348	148	93	mst_i\	mst_i\	NOUN
bracis-28348	148	94	)	)	PUNCT
bracis-28348	148	95	that	that	PRON
bracis-28348	148	96	do	do	AUX
bracis-28348	148	97	not	not	PART
bracis-28348	148	98	belong	belong	VERB
bracis-28348	148	99	in	in	ADP
bracis-28348	148	100	\(mst_q	\(mst_q	X
bracis-28348	148	101	\cup	\cup	VERB
bracis-28348	148	102	mnng_q\	mnng_q\	PROPN
bracis-28348	148	103	)	)	PUNCT
bracis-28348	148	104	with	with	ADP
bracis-28348	148	105	edges	edge	NOUN
bracis-28348	148	106	\(e(c_i	\(e(c_i	NUM
bracis-28348	148	107	,	,	PUNCT
bracis-28348	148	108	c_j)\	c_j)\	NOUN
bracis-28348	148	109	)	)	PUNCT
bracis-28348	148	110	that	that	PRON
bracis-28348	148	111	must	must	AUX
bracis-28348	148	112	exist	exist	VERB
bracis-28348	148	113	in	in	ADP
bracis-28348	148	114	\(mst_q	\(mst_q	X
bracis-28348	148	115	\cup	\cup	ADP
bracis-28348	148	116	mnng_q\)(as	mnng_q\)(as	NOUN
bracis-28348	148	117	scenario	scenario	NOUN
bracis-28348	148	118	(	(	PUNCT
bracis-28348	148	119	2)-b	2)-b	NUM
bracis-28348	148	120	)	)	PUNCT
bracis-28348	148	121	,	,	PUNCT
bracis-28348	148	122	connecting	connect	VERB
bracis-28348	148	123	the	the	DET
bracis-28348	148	124	same	same	ADJ
bracis-28348	148	125	two	two	NUM
bracis-28348	148	126	subsets	subset	NOUN
bracis-28348	148	127	of	of	ADP
bracis-28348	148	128	points	point	NOUN
bracis-28348	148	129	as	as	ADP
bracis-28348	148	130	\(e(b_i	\(e(b_i	PROPN
bracis-28348	148	131	,	,	PUNCT
bracis-28348	148	132	b_j)\	b_j)\	NOUN
bracis-28348	148	133	)	)	PUNCT
bracis-28348	148	134	and	and	CCONJ
bracis-28348	148	135	having	have	VERB
bracis-28348	148	136	the	the	DET
bracis-28348	148	137	same	same	ADJ
bracis-28348	148	138	edge	edge	NOUN
bracis-28348	148	139	weight	weight	NOUN
bracis-28348	148	140	as	as	ADP
bracis-28348	148	141	\(e(b_i	\(e(b_i	PROPN
bracis-28348	148	142	,	,	PUNCT
bracis-28348	148	143	b_j)\	b_j)\	NOUN
bracis-28348	148	144	)	)	PUNCT
bracis-28348	148	145	.	.	PUNCT
bracis-28348	149	1	this	this	DET
bracis-28348	149	2	graph	graph	NOUN
bracis-28348	149	3	\(mst_p{'}\	\(mst_p{'}\	PROPN
bracis-28348	149	4	)	)	PUNCT
bracis-28348	149	5	is	be	AUX
bracis-28348	149	6	a	a	DET
bracis-28348	149	7	mst	mst	NOUN
bracis-28348	149	8	of	of	ADP
bracis-28348	149	9	\(g_p\	\(g_p\	PROPN
bracis-28348	149	10	)	)	PUNCT
bracis-28348	149	11	,	,	PUNCT
bracis-28348	149	12	that	that	ADV
bracis-28348	149	13	is	is	ADV
bracis-28348	149	14	,	,	PUNCT
bracis-28348	149	15	\(mst_p	\(mst_p	PROPN
bracis-28348	149	16	{	{	PUNCT
bracis-28348	149	17	'	'	PUNCT
bracis-28348	149	18	}	}	PUNCT
bracis-28348	149	19	\in	\in	PROPN
bracis-28348	149	20	m_p\	m_p\	PROPN
bracis-28348	149	21	)	)	PUNCT
bracis-28348	149	22	and	and	CCONJ
bracis-28348	149	23	\(mst_p	\(mst_p	PROPN
bracis-28348	149	24	{	{	PUNCT
bracis-28348	149	25	'	'	PUNCT
bracis-28348	149	26	}	}	PUNCT
bracis-28348	149	27	\subseteq	\subseteq	ADV
bracis-28348	149	28	mst_q	mst_q	VERB
bracis-28348	149	29	\cup	\cup	PUNCT
bracis-28348	149	30	mnng_q\	mnng_q\	PROPN
bracis-28348	149	31	)	)	PUNCT
bracis-28348	149	32	.	.	PUNCT
bracis-28348	150	1	thus	thus	ADV
bracis-28348	150	2	there	there	PRON
bracis-28348	150	3	exists	exist	VERB
bracis-28348	150	4	a	a	DET
bracis-28348	150	5	\(mst_p	\(mst_p	ADJ
bracis-28348	150	6	\in	\in	PROPN
bracis-28348	150	7	m_p\	m_p\	NOUN
bracis-28348	150	8	)	)	PUNCT
bracis-28348	150	9	such	such	ADJ
bracis-28348	150	10	that	that	SCONJ
bracis-28348	150	11	\(mst_p	\(mst_p	PROPN
bracis-28348	150	12	\subseteq	\subseteq	PROPN
bracis-28348	150	13	mst_q	mst_q	NOUN
bracis-28348	150	14	\cup	\cup	PUNCT
bracis-28348	150	15	mnng_q\	mnng_q\	PROPN
bracis-28348	150	16	)	)	PUNCT
bracis-28348	150	17	.	.	PUNCT
bracis-28348	151	1	theorem	theorem	VERB
bracis-28348	151	2	1	1	NUM
bracis-28348	151	3	supports	support	VERB
bracis-28348	151	4	that	that	SCONJ
bracis-28348	151	5	the	the	DET
bracis-28348	151	6	complete	complete	ADJ
bracis-28348	151	7	graph	graph	NOUN
bracis-28348	151	8	\(g_{minpts_{max}}\	\(g_{minpts_{max}}\	PROPN
bracis-28348	151	9	)	)	PUNCT
bracis-28348	151	10	can	can	AUX
bracis-28348	151	11	be	be	AUX
bracis-28348	151	12	replaced	replace	VERB
bracis-28348	151	13	by	by	ADP
bracis-28348	151	14	\(mst_{minpts_{max	\(mst_{minpts_{max	NOUN
bracis-28348	151	15	}	}	PUNCT
bracis-28348	151	16	}	}	PUNCT
bracis-28348	151	17	\cup	\cup	VERB
bracis-28348	151	18	mnng_{minpts}\	mnng_{minpts}\	PROPN
bracis-28348	151	19	)	)	PUNCT
bracis-28348	151	20	when	when	SCONJ
bracis-28348	151	21	calculating	calculate	VERB
bracis-28348	151	22	additional	additional	ADJ
bracis-28348	151	23	results	result	NOUN
bracis-28348	151	24	of	of	ADP
bracis-28348	151	25	msts	mst	NOUN
bracis-28348	151	26	with	with	ADP
bracis-28348	151	27	\(minpts	\(minpt	NOUN
bracis-28348	151	28	<	<	X
bracis-28348	151	29	minpts_{max}\	minpts_{max}\	NUM
bracis-28348	151	30	)	)	PUNCT
bracis-28348	151	31	,	,	PUNCT
bracis-28348	151	32	with	with	ADP
bracis-28348	151	33	potential	potential	NOUN
bracis-28348	151	34	for	for	ADP
bracis-28348	151	35	greater	great	ADJ
bracis-28348	151	36	execution	execution	NOUN
bracis-28348	151	37	time	time	NOUN
bracis-28348	151	38	and	and	CCONJ
bracis-28348	151	39	memory	memory	NOUN
bracis-28348	151	40	savings	saving	NOUN
bracis-28348	151	41	.	.	PUNCT
bracis-28348	152	1	4	4	NUM
bracis-28348	152	2	experiments	experiment	NOUN
bracis-28348	152	3	in	in	ADP
bracis-28348	152	4	this	this	DET
bracis-28348	152	5	section	section	NOUN
bracis-28348	152	6	,	,	PUNCT
bracis-28348	152	7	we	we	PRON
bracis-28348	152	8	evaluate	evaluate	VERB
bracis-28348	152	9	the	the	DET
bracis-28348	152	10	use	use	NOUN
bracis-28348	152	11	of	of	ADP
bracis-28348	152	12	core	core	NOUN
bracis-28348	152	13	-	-	PUNCT
bracis-28348	152	14	ssg	ssg	NOUN
bracis-28348	152	15	for	for	ADP
bracis-28348	152	16	the	the	DET
bracis-28348	152	17	clustering	clustering	ADJ
bracis-28348	152	18	task	task	NOUN
bracis-28348	152	19	to	to	PART
bracis-28348	152	20	illustrate	illustrate	VERB
bracis-28348	152	21	its	its	PRON
bracis-28348	152	22	utility	utility	NOUN
bracis-28348	152	23	,	,	PUNCT
bracis-28348	152	24	although	although	SCONJ
bracis-28348	152	25	it	it	PRON
bracis-28348	152	26	can	can	AUX
bracis-28348	152	27	be	be	AUX
bracis-28348	152	28	used	use	VERB
bracis-28348	152	29	in	in	ADP
bracis-28348	152	30	various	various	ADJ
bracis-28348	152	31	applications	application	NOUN
bracis-28348	152	32	[	[	X
bracis-28348	152	33	10	10	NUM
bracis-28348	152	34	]	]	PUNCT
bracis-28348	152	35	.	.	PUNCT
bracis-28348	153	1	the	the	DET
bracis-28348	153	2	core	core	NOUN
bracis-28348	153	3	-	-	PUNCT
bracis-28348	153	4	ssgfootnote	ssgfootnote	NOUN
bracis-28348	153	5	1	1	NUM
bracis-28348	153	6	was	be	AUX
bracis-28348	153	7	implemented	implement	VERB
bracis-28348	153	8	in	in	ADP
bracis-28348	153	9	python	python	PROPN
bracis-28348	153	10	/	/	SYM
bracis-28348	153	11	cython	cython	PROPN
bracis-28348	153	12	,	,	PUNCT
bracis-28348	153	13	and	and	CCONJ
bracis-28348	153	14	the	the	DET
bracis-28348	153	15	experiments	experiment	NOUN
bracis-28348	153	16	were	be	AUX
bracis-28348	153	17	performed	perform	VERB
bracis-28348	153	18	on	on	ADP
bracis-28348	153	19	computer	computer	NOUN
bracis-28348	153	20	with	with	ADP
bracis-28348	153	21	16	16	NUM
bracis-28348	153	22	gb	gb	NOUN
bracis-28348	153	23	of	of	ADP
bracis-28348	153	24	ram	ram	NOUN
bracis-28348	153	25	and	and	CCONJ
bracis-28348	153	26	8	8	NUM
bracis-28348	153	27	processing	processing	NOUN
bracis-28348	153	28	cores	core	NOUN
bracis-28348	153	29	.	.	PUNCT
bracis-28348	154	1	the	the	DET
bracis-28348	154	2	experimental	experimental	ADJ
bracis-28348	154	3	evaluations	evaluation	NOUN
bracis-28348	154	4	are	be	AUX
bracis-28348	154	5	divided	divide	VERB
bracis-28348	154	6	into	into	ADP
bracis-28348	154	7	three	three	NUM
bracis-28348	154	8	parts	part	NOUN
bracis-28348	154	9	:	:	PUNCT
bracis-28348	154	10	assessment	assessment	NOUN
bracis-28348	154	11	of	of	ADP
bracis-28348	154	12	the	the	DET
bracis-28348	154	13	quality	quality	NOUN
bracis-28348	154	14	of	of	ADP
bracis-28348	154	15	the	the	DET
bracis-28348	154	16	hierarchies	hierarchy	NOUN
bracis-28348	154	17	and	and	CCONJ
bracis-28348	154	18	extracted	extract	VERB
bracis-28348	154	19	partitions	partition	NOUN
bracis-28348	154	20	from	from	ADP
bracis-28348	154	21	core	core	NOUN
bracis-28348	154	22	-	-	PUNCT
bracis-28348	154	23	ssg	ssg	NOUN
bracis-28348	154	24	;	;	PUNCT
bracis-28348	154	25	the	the	DET
bracis-28348	154	26	clustering	cluster	VERB
bracis-28348	154	27	solutions	solution	NOUN
bracis-28348	154	28	from	from	ADP
bracis-28348	154	29	core	core	NOUN
bracis-28348	154	30	-	-	PUNCT
bracis-28348	154	31	sg	sg	PROPN
bracis-28348	154	32	and	and	CCONJ
bracis-28348	154	33	core	core	NOUN
bracis-28348	154	34	-	-	PUNCT
bracis-28348	154	35	ssg	ssg	PROPN
bracis-28348	154	36	are	be	AUX
bracis-28348	154	37	compared	compare	VERB
bracis-28348	154	38	;	;	PUNCT
bracis-28348	154	39	an	an	DET
bracis-28348	154	40	analysis	analysis	NOUN
bracis-28348	154	41	of	of	ADP
bracis-28348	154	42	the	the	DET
bracis-28348	154	43	runtime	runtime	NOUN
bracis-28348	154	44	and	and	CCONJ
bracis-28348	154	45	speed	speed	NOUN
bracis-28348	154	46	-	-	PUNCT
bracis-28348	154	47	up	up	NOUN
bracis-28348	154	48	of	of	ADP
bracis-28348	154	49	the	the	DET
bracis-28348	154	50	compared	compare	VERB
bracis-28348	154	51	algorithms	algorithms	NOUN
bracis-28348	154	52	is	be	AUX
bracis-28348	154	53	made	make	VERB
bracis-28348	154	54	.	.	PUNCT
bracis-28348	155	1	4.1	4.1	NUM
bracis-28348	155	2	evaluation	evaluation	NOUN
bracis-28348	155	3	of	of	ADP
bracis-28348	155	4	 	 	SPACE
bracis-28348	155	5	the	the	DET
bracis-28348	155	6	 	 	SPACE
bracis-28348	155	7	quality	quality	NOUN
bracis-28348	155	8	loss	loss	NOUN
bracis-28348	155	9	resulted	result	VERB
bracis-28348	155	10	from	from	ADP
bracis-28348	155	11	 	 	SPACE
bracis-28348	155	12	core	core	NOUN
bracis-28348	155	13	-	-	PUNCT
bracis-28348	155	14	ssg	ssg	NOUN
bracis-28348	155	15	summarization	summarization	NOUN
bracis-28348	155	16	three	three	NUM
bracis-28348	155	17	bi	bi	ADJ
bracis-28348	155	18	-	-	ADJ
bracis-28348	155	19	dimensional	dimensional	ADJ
bracis-28348	155	20	datasets	dataset	NOUN
bracis-28348	155	21	with	with	ADP
bracis-28348	155	22	38k	38k	NUM
bracis-28348	155	23	,	,	PUNCT
bracis-28348	155	24	43k	43k	NOUN
bracis-28348	155	25	,	,	PUNCT
bracis-28348	155	26	and	and	CCONJ
bracis-28348	155	27	49k	49k	NUM
bracis-28348	155	28	objects	object	NOUN
bracis-28348	155	29	were	be	AUX
bracis-28348	155	30	synthesized	synthesize	VERB
bracis-28348	155	31	for	for	ADP
bracis-28348	155	32	the	the	DET
bracis-28348	155	33	quality	quality	NOUN
bracis-28348	155	34	evaluation	evaluation	NOUN
bracis-28348	155	35	experiments	experiment	NOUN
bracis-28348	155	36	and	and	CCONJ
bracis-28348	155	37	divided	divide	VERB
bracis-28348	155	38	into	into	ADP
bracis-28348	155	39	13	13	NUM
bracis-28348	155	40	,	,	PUNCT
bracis-28348	155	41	10	10	NUM
bracis-28348	155	42	,	,	PUNCT
bracis-28348	155	43	and	and	CCONJ
bracis-28348	155	44	12	12	NUM
bracis-28348	155	45	clusters	cluster	NOUN
bracis-28348	155	46	with	with	ADP
bracis-28348	155	47	noise	noise	NOUN
bracis-28348	155	48	.	.	PUNCT
bracis-28348	156	1	after	after	ADP
bracis-28348	156	2	that	that	PRON
bracis-28348	156	3	,	,	PUNCT
bracis-28348	156	4	each	each	DET
bracis-28348	156	5	dataset	dataset	NOUN
bracis-28348	156	6	was	be	AUX
bracis-28348	156	7	divided	divide	VERB
bracis-28348	156	8	into	into	ADP
bracis-28348	156	9	subsets	subset	NOUN
bracis-28348	156	10	of	of	ADP
bracis-28348	156	11	the	the	DET
bracis-28348	156	12	same	same	ADJ
bracis-28348	156	13	volume	volume	NOUN
bracis-28348	156	14	so	so	SCONJ
bracis-28348	156	15	that	that	SCONJ
bracis-28348	156	16	the	the	DET
bracis-28348	156	17	number	number	NOUN
bracis-28348	156	18	of	of	ADP
bracis-28348	156	19	subsets	subset	NOUN
bracis-28348	156	20	totalized	totalize	VERB
bracis-28348	156	21	n/10	n/10	NOUN
bracis-28348	156	22	,	,	PUNCT
bracis-28348	156	23	i.e.	i.e.	X
bracis-28348	156	24	,	,	PUNCT
bracis-28348	156	25	10	10	NUM
bracis-28348	156	26	%	%	NOUN
bracis-28348	156	27	of	of	ADP
bracis-28348	156	28	the	the	DET
bracis-28348	156	29	datasets	dataset	NOUN
bracis-28348	156	30	’	'	PUNCT
bracis-28348	156	31	sizes	size	NOUN
bracis-28348	156	32	.	.	PUNCT
bracis-28348	157	1	then	then	ADV
bracis-28348	157	2	,	,	PUNCT
bracis-28348	157	3	the	the	DET
bracis-28348	157	4	dbs	dbs	NOUN
bracis-28348	157	5	were	be	AUX
bracis-28348	157	6	created	create	VERB
bracis-28348	157	7	over	over	ADP
bracis-28348	157	8	these	these	DET
bracis-28348	157	9	subsets	subset	NOUN
bracis-28348	157	10	,	,	PUNCT
bracis-28348	157	11	and	and	CCONJ
bracis-28348	157	12	a	a	DET
bracis-28348	157	13	core	core	NOUN
bracis-28348	157	14	-	-	PUNCT
bracis-28348	157	15	ssg	ssg	NOUN
bracis-28348	157	16	with	with	SCONJ
bracis-28348	157	17	\(minpts	\(minpt	NOUN
bracis-28348	157	18	=	=	SYM
bracis-28348	157	19	200\	200\	NUM
bracis-28348	157	20	)	)	PUNCT
bracis-28348	157	21	was	be	AUX
bracis-28348	157	22	built	build	VERB
bracis-28348	157	23	.	.	PUNCT
bracis-28348	158	1	from	from	ADP
bracis-28348	158	2	the	the	DET
bracis-28348	158	3	core	core	NOUN
bracis-28348	158	4	-	-	PUNCT
bracis-28348	158	5	ssg\(_{200}\	ssg\(_{200}\	NOUN
bracis-28348	158	6	)	)	PUNCT
bracis-28348	158	7	,	,	PUNCT
bracis-28348	158	8	we	we	PRON
bracis-28348	158	9	extracted	extract	VERB
bracis-28348	158	10	density	density	NOUN
bracis-28348	158	11	-	-	PUNCT
bracis-28348	158	12	based	base	VERB
bracis-28348	158	13	msts	mst	NOUN
bracis-28348	158	14	for	for	ADP
bracis-28348	158	15	minpts	minpt	NOUN
bracis-28348	158	16	ranging	range	VERB
bracis-28348	158	17	from	from	ADP
bracis-28348	158	18	200	200	NUM
bracis-28348	158	19	to	to	PART
bracis-28348	158	20	2	2	NUM
bracis-28348	158	21	in	in	ADP
bracis-28348	158	22	decreasing	decrease	VERB
bracis-28348	158	23	steps	step	NOUN
bracis-28348	158	24	of	of	ADP
bracis-28348	158	25	2	2	NUM
bracis-28348	158	26	.	.	PUNCT
bracis-28348	158	27	using	use	VERB
bracis-28348	158	28	the	the	DET
bracis-28348	158	29	extracted	extract	VERB
bracis-28348	158	30	msts	mst	NOUN
bracis-28348	158	31	,	,	PUNCT
bracis-28348	158	32	we	we	PRON
bracis-28348	158	33	built	build	VERB
bracis-28348	158	34	one	one	NUM
bracis-28348	158	35	hundred	hundred	NUM
bracis-28348	158	36	hdbscan	hdbscan	NOUN
bracis-28348	158	37	*	*	NOUN
bracis-28348	158	38	clustering	cluster	VERB
bracis-28348	158	39	solutions	solution	NOUN
bracis-28348	158	40	and	and	CCONJ
bracis-28348	158	41	calculated	calculate	VERB
bracis-28348	158	42	their	their	PRON
bracis-28348	158	43	pairwise	pairwise	NOUN
bracis-28348	158	44	similarity	similarity	NOUN
bracis-28348	158	45	using	use	VERB
bracis-28348	158	46	the	the	DET
bracis-28348	158	47	hai	hai	PROPN
bracis-28348	158	48	index	index	NOUN
bracis-28348	158	49	[	[	X
bracis-28348	158	50	12	12	NUM
bracis-28348	158	51	]	]	PUNCT
bracis-28348	158	52	.	.	PUNCT
bracis-28348	159	1	based	base	VERB
bracis-28348	159	2	on	on	ADP
bracis-28348	159	3	their	their	PRON
bracis-28348	159	4	similarities	similarity	NOUN
bracis-28348	159	5	,	,	PUNCT
bracis-28348	159	6	we	we	PRON
bracis-28348	159	7	have	have	AUX
bracis-28348	159	8	chosen	choose	VERB
bracis-28348	159	9	four	four	NUM
bracis-28348	159	10	of	of	ADP
bracis-28348	159	11	the	the	DET
bracis-28348	159	12	most	most	ADV
bracis-28348	159	13	representative	representative	ADJ
bracis-28348	159	14	clustering	clustering	ADJ
bracis-28348	159	15	solutions	solution	NOUN
bracis-28348	159	16	,	,	PUNCT
bracis-28348	159	17	i.e.	i.e.	X
bracis-28348	159	18	,	,	PUNCT
bracis-28348	159	19	we	we	PRON
bracis-28348	159	20	selected	select	VERB
bracis-28348	159	21	four	four	NUM
bracis-28348	159	22	solutions	solution	NOUN
bracis-28348	159	23	that	that	PRON
bracis-28348	159	24	are	be	AUX
bracis-28348	159	25	most	most	ADV
bracis-28348	159	26	similar	similar	ADJ
bracis-28348	159	27	to	to	ADP
bracis-28348	159	28	the	the	DET
bracis-28348	159	29	others	other	NOUN
bracis-28348	159	30	and	and	CCONJ
bracis-28348	159	31	different	different	ADJ
bracis-28348	159	32	within	within	ADP
bracis-28348	159	33	themselves	themselves	PRON
bracis-28348	159	34	,	,	PUNCT
bracis-28348	159	35	according	accord	VERB
bracis-28348	159	36	to	to	ADP
bracis-28348	159	37	the	the	DET
bracis-28348	159	38	hai	hai	PROPN
bracis-28348	159	39	index	index	NOUN
bracis-28348	159	40	.	.	PUNCT
bracis-28348	160	1	these	these	DET
bracis-28348	160	2	four	four	NUM
bracis-28348	160	3	hierarchical	hierarchical	ADJ
bracis-28348	160	4	clustering	clustering	NOUN
bracis-28348	160	5	results	result	NOUN
bracis-28348	160	6	are	be	AUX
bracis-28348	160	7	presented	present	VERB
bracis-28348	160	8	in	in	ADP
bracis-28348	160	9	the	the	DET
bracis-28348	160	10	clustering	cluster	VERB
bracis-28348	160	11	trees	tree	NOUN
bracis-28348	160	12	of	of	ADP
bracis-28348	160	13	fig	fig	NOUN
bracis-28348	160	14	.	.	PUNCT
bracis-28348	160	15	 	 	SPACE
bracis-28348	161	1	2	2	NUM
bracis-28348	161	2	,	,	PUNCT
bracis-28348	161	3	where	where	SCONJ
bracis-28348	161	4	the	the	DET
bracis-28348	161	5	most	most	ADV
bracis-28348	161	6	prominent	prominent	ADJ
bracis-28348	161	7	clusters	cluster	NOUN
bracis-28348	161	8	,	,	PUNCT
bracis-28348	161	9	according	accord	VERB
bracis-28348	161	10	to	to	ADP
bracis-28348	161	11	the	the	DET
bracis-28348	161	12	fosc	fosc	ADJ
bracis-28348	161	13	framework	framework	NOUN
bracis-28348	161	14	[	[	X
bracis-28348	161	15	7	7	NUM
bracis-28348	161	16	]	]	PUNCT
bracis-28348	161	17	,	,	PUNCT
bracis-28348	161	18	are	be	AUX
bracis-28348	161	19	circled	circle	VERB
bracis-28348	161	20	in	in	ADP
bracis-28348	161	21	red	red	PROPN
bracis-28348	161	22	.	.	PUNCT
bracis-28348	162	1	the	the	DET
bracis-28348	162	2	fosc	fosc	ADJ
bracis-28348	162	3	framework	framework	NOUN
bracis-28348	162	4	uses	use	VERB
bracis-28348	162	5	the	the	DET
bracis-28348	162	6	concept	concept	NOUN
bracis-28348	162	7	of	of	ADP
bracis-28348	162	8	excess	excess	NOUN
bracis-28348	162	9	of	of	ADP
bracis-28348	162	10	mass	mass	NOUN
bracis-28348	162	11	to	to	PART
bracis-28348	162	12	extract	extract	VERB
bracis-28348	162	13	the	the	DET
bracis-28348	162	14	most	most	ADV
bracis-28348	162	15	prominent	prominent	ADJ
bracis-28348	162	16	partition	partition	NOUN
bracis-28348	162	17	from	from	ADP
bracis-28348	162	18	a	a	DET
bracis-28348	162	19	hierarchical	hierarchical	ADJ
bracis-28348	162	20	clustering	clustering	NOUN
bracis-28348	162	21	solution	solution	NOUN
bracis-28348	162	22	.	.	PUNCT
bracis-28348	163	1	as	as	SCONJ
bracis-28348	163	2	done	do	VERB
bracis-28348	163	3	in	in	ADP
bracis-28348	163	4	the	the	DET
bracis-28348	163	5	hdbscan	hdbscan	PROPN
bracis-28348	163	6	*	*	PROPN
bracis-28348	163	7	article	article	PROPN
bracis-28348	163	8	,	,	PUNCT
bracis-28348	163	9	we	we	PRON
bracis-28348	163	10	assumed	assume	VERB
bracis-28348	163	11	the	the	DET
bracis-28348	163	12	minimum	minimum	ADJ
bracis-28348	163	13	cluster	cluster	NOUN
bracis-28348	163	14	size	size	NOUN
bracis-28348	163	15	value	value	NOUN
bracis-28348	163	16	equals	equal	VERB
bracis-28348	163	17	minpts	minpt	NOUN
bracis-28348	163	18	.	.	PUNCT
bracis-28348	164	1	fig	fig	NOUN
bracis-28348	164	2	.	.	PUNCT
bracis-28348	165	1	2	2	X
bracis-28348	165	2	.	.	X
bracis-28348	165	3	cluster	cluster	NOUN
bracis-28348	165	4	hierarchies	hierarchy	NOUN
bracis-28348	165	5	of	of	ADP
bracis-28348	165	6	core	core	NOUN
bracis-28348	165	7	-	-	PUNCT
bracis-28348	165	8	ssg	ssg	NOUN
bracis-28348	165	9	’s	’s	PART
bracis-28348	165	10	most	most	ADV
bracis-28348	165	11	representative	representative	ADJ
bracis-28348	165	12	solutions	solution	NOUN
bracis-28348	165	13	.	.	PUNCT
bracis-28348	166	1	full	full	ADJ
bracis-28348	166	2	size	size	NOUN
bracis-28348	166	3	image	image	NOUN
bracis-28348	166	4	the	the	DET
bracis-28348	166	5	clustering	cluster	VERB
bracis-28348	166	6	hierarchies	hierarchy	NOUN
bracis-28348	166	7	presented	present	VERB
bracis-28348	166	8	in	in	ADP
bracis-28348	166	9	fig	fig	NOUN
bracis-28348	166	10	.	.	PUNCT
bracis-28348	166	11	 	 	SPACE
bracis-28348	167	1	2	2	NUM
bracis-28348	167	2	accurately	accurately	ADV
bracis-28348	167	3	reflect	reflect	VERB
bracis-28348	167	4	the	the	DET
bracis-28348	167	5	behavior	behavior	NOUN
bracis-28348	167	6	of	of	ADP
bracis-28348	167	7	hdbscan	hdbscan	PROPN
bracis-28348	167	8	*	*	PUNCT
bracis-28348	167	9	clustering	cluster	VERB
bracis-28348	167	10	for	for	ADP
bracis-28348	167	11	a	a	DET
bracis-28348	167	12	range	range	NOUN
bracis-28348	167	13	of	of	ADP
bracis-28348	167	14	minpts	minpt	NOUN
bracis-28348	167	15	values	value	NOUN
bracis-28348	167	16	.	.	PUNCT
bracis-28348	168	1	for	for	ADP
bracis-28348	168	2	small	small	ADJ
bracis-28348	168	3	minpts	minpt	NOUN
bracis-28348	168	4	values	value	NOUN
bracis-28348	168	5	,	,	PUNCT
bracis-28348	168	6	the	the	DET
bracis-28348	168	7	hierarchy	hierarchy	NOUN
bracis-28348	168	8	is	be	AUX
bracis-28348	168	9	full	full	ADJ
bracis-28348	168	10	of	of	ADP
bracis-28348	168	11	small	small	ADJ
bracis-28348	168	12	,	,	PUNCT
bracis-28348	168	13	highly	highly	ADV
bracis-28348	168	14	detailed	detailed	ADJ
bracis-28348	168	15	clusters	cluster	NOUN
bracis-28348	168	16	that	that	PRON
bracis-28348	168	17	are	be	AUX
bracis-28348	168	18	hard	hard	ADJ
bracis-28348	168	19	to	to	PART
bracis-28348	168	20	visualize	visualize	VERB
bracis-28348	168	21	but	but	CCONJ
bracis-28348	168	22	can	can	AUX
bracis-28348	168	23	be	be	AUX
bracis-28348	168	24	analyzed	analyze	VERB
bracis-28348	168	25	using	use	VERB
bracis-28348	168	26	cluster	cluster	NOUN
bracis-28348	168	27	validation	validation	NOUN
bracis-28348	168	28	indexes	index	NOUN
bracis-28348	169	1	[	[	X
bracis-28348	169	2	22	22	NUM
bracis-28348	169	3	]	]	PUNCT
bracis-28348	169	4	.	.	PUNCT
bracis-28348	170	1	in	in	ADP
bracis-28348	170	2	contrast	contrast	NOUN
bracis-28348	170	3	,	,	PUNCT
bracis-28348	170	4	as	as	SCONJ
bracis-28348	170	5	minpts	minpt	NOUN
bracis-28348	170	6	values	value	NOUN
bracis-28348	170	7	increase	increase	VERB
bracis-28348	170	8	,	,	PUNCT
bracis-28348	170	9	the	the	DET
bracis-28348	170	10	hierarchies	hierarchy	NOUN
bracis-28348	170	11	comprise	comprise	VERB
bracis-28348	170	12	a	a	DET
bracis-28348	170	13	smaller	small	ADJ
bracis-28348	170	14	number	number	NOUN
bracis-28348	170	15	of	of	ADP
bracis-28348	170	16	more	more	ADV
bracis-28348	170	17	robust	robust	ADJ
bracis-28348	170	18	clusters	cluster	NOUN
bracis-28348	170	19	that	that	PRON
bracis-28348	170	20	reflect	reflect	VERB
bracis-28348	170	21	denser	dense	ADJ
bracis-28348	170	22	structures	structure	NOUN
bracis-28348	170	23	.	.	PUNCT
bracis-28348	171	1	the	the	DET
bracis-28348	171	2	results	result	NOUN
bracis-28348	171	3	perfectly	perfectly	ADV
bracis-28348	171	4	mimic	mimic	VERB
bracis-28348	171	5	what	what	PRON
bracis-28348	171	6	is	be	AUX
bracis-28348	171	7	expected	expect	VERB
bracis-28348	171	8	from	from	ADP
bracis-28348	171	9	density	density	NOUN
bracis-28348	171	10	-	-	PUNCT
bracis-28348	171	11	based	base	VERB
bracis-28348	171	12	clustering	clustering	ADJ
bracis-28348	171	13	algorithms	algorithm	NOUN
bracis-28348	171	14	.	.	PUNCT
bracis-28348	172	1	the	the	DET
bracis-28348	172	2	difference	difference	NOUN
bracis-28348	172	3	resides	reside	VERB
bracis-28348	172	4	in	in	ADP
bracis-28348	172	5	the	the	DET
bracis-28348	172	6	fact	fact	NOUN
bracis-28348	172	7	that	that	SCONJ
bracis-28348	172	8	core	core	NOUN
bracis-28348	172	9	-	-	PUNCT
bracis-28348	172	10	ssg	ssg	PROPN
bracis-28348	172	11	does	do	AUX
bracis-28348	172	12	not	not	PART
bracis-28348	172	13	have	have	AUX
bracis-28348	172	14	the	the	DET
bracis-28348	172	15	hierarchical	hierarchical	ADJ
bracis-28348	172	16	structure	structure	NOUN
bracis-28348	172	17	of	of	ADP
bracis-28348	172	18	the	the	DET
bracis-28348	172	19	summarized	summarize	VERB
bracis-28348	172	20	data	datum	NOUN
bracis-28348	172	21	,	,	PUNCT
bracis-28348	172	22	i.e.	i.e.	X
bracis-28348	172	23	,	,	PUNCT
bracis-28348	172	24	within	within	ADP
bracis-28348	172	25	the	the	DET
bracis-28348	172	26	dbs	dbs	PROPN
bracis-28348	172	27	.	.	PROPN
bracis-28348	173	1	in	in	ADP
bracis-28348	173	2	most	most	ADJ
bracis-28348	173	3	cases	case	NOUN
bracis-28348	173	4	,	,	PUNCT
bracis-28348	173	5	the	the	DET
bracis-28348	173	6	summarized	summarize	VERB
bracis-28348	173	7	data	data	NOUN
bracis-28348	173	8	has	have	VERB
bracis-28348	173	9	a	a	DET
bracis-28348	173	10	level	level	NOUN
bracis-28348	173	11	of	of	ADP
bracis-28348	173	12	detail	detail	NOUN
bracis-28348	173	13	of	of	ADP
bracis-28348	173	14	minor	minor	ADJ
bracis-28348	173	15	importance	importance	NOUN
bracis-28348	173	16	for	for	ADP
bracis-28348	173	17	large	large	ADJ
bracis-28348	173	18	volumes	volume	NOUN
bracis-28348	173	19	of	of	ADP
bracis-28348	173	20	data	datum	NOUN
bracis-28348	173	21	.	.	PUNCT
bracis-28348	174	1	however	however	ADV
bracis-28348	174	2	,	,	PUNCT
bracis-28348	174	3	if	if	SCONJ
bracis-28348	174	4	the	the	DET
bracis-28348	174	5	user	user	NOUN
bracis-28348	174	6	requires	require	VERB
bracis-28348	174	7	the	the	DET
bracis-28348	174	8	structure	structure	NOUN
bracis-28348	174	9	within	within	ADP
bracis-28348	174	10	the	the	DET
bracis-28348	174	11	dbs	dbs	PROPN
bracis-28348	174	12	,	,	PUNCT
bracis-28348	174	13	the	the	DET
bracis-28348	174	14	core	core	NOUN
bracis-28348	174	15	-	-	PUNCT
bracis-28348	174	16	sg	sg	PROPN
bracis-28348	174	17	can	can	AUX
bracis-28348	174	18	be	be	AUX
bracis-28348	174	19	applied	apply	VERB
bracis-28348	174	20	over	over	ADP
bracis-28348	174	21	the	the	DET
bracis-28348	174	22	summarized	summarize	VERB
bracis-28348	174	23	data	datum	NOUN
bracis-28348	174	24	of	of	ADP
bracis-28348	174	25	each	each	DET
bracis-28348	174	26	dbs	dbs	NOUN
bracis-28348	174	27	independently	independently	ADV
bracis-28348	174	28	,	,	PUNCT
bracis-28348	174	29	and	and	CCONJ
bracis-28348	174	30	the	the	DET
bracis-28348	174	31	results	result	NOUN
bracis-28348	174	32	(	(	PUNCT
bracis-28348	174	33	which	which	PRON
bracis-28348	174	34	are	be	AUX
bracis-28348	174	35	graphs	graph	NOUN
bracis-28348	174	36	)	)	PUNCT
bracis-28348	174	37	combined	combine	VERB
bracis-28348	174	38	.	.	PUNCT
bracis-28348	175	1	if	if	SCONJ
bracis-28348	175	2	the	the	DET
bracis-28348	175	3	summarized	summarize	VERB
bracis-28348	175	4	data	data	NOUN
bracis-28348	175	5	is	be	AUX
bracis-28348	175	6	still	still	ADV
bracis-28348	175	7	extensive	extensive	ADJ
bracis-28348	175	8	,	,	PUNCT
bracis-28348	175	9	the	the	DET
bracis-28348	175	10	core	core	NOUN
bracis-28348	175	11	-	-	PUNCT
bracis-28348	175	12	ssg	ssg	PROPN
bracis-28348	175	13	can	can	AUX
bracis-28348	175	14	be	be	AUX
bracis-28348	175	15	applied	apply	VERB
bracis-28348	175	16	recursively	recursively	ADV
bracis-28348	175	17	.	.	PUNCT
bracis-28348	176	1	although	although	SCONJ
bracis-28348	176	2	a	a	DET
bracis-28348	176	3	hierarchy	hierarchy	NOUN
bracis-28348	176	4	of	of	ADP
bracis-28348	176	5	clusters	cluster	NOUN
bracis-28348	176	6	is	be	AUX
bracis-28348	176	7	a	a	DET
bracis-28348	176	8	more	more	ADV
bracis-28348	176	9	complete	complete	ADJ
bracis-28348	176	10	and	and	CCONJ
bracis-28348	176	11	richer	rich	ADJ
bracis-28348	176	12	way	way	NOUN
bracis-28348	176	13	of	of	ADP
bracis-28348	176	14	representing	represent	VERB
bracis-28348	176	15	the	the	DET
bracis-28348	176	16	data	data	NOUN
bracis-28348	176	17	structure	structure	NOUN
bracis-28348	176	18	,	,	PUNCT
bracis-28348	176	19	they	they	PRON
bracis-28348	176	20	can	can	AUX
bracis-28348	176	21	be	be	AUX
bracis-28348	176	22	too	too	ADV
bracis-28348	176	23	complex	complex	ADJ
bracis-28348	176	24	and	and	CCONJ
bracis-28348	176	25	extensive	extensive	ADJ
bracis-28348	176	26	for	for	ADP
bracis-28348	176	27	very	very	ADV
bracis-28348	176	28	large	large	ADJ
bracis-28348	176	29	datasets	dataset	NOUN
bracis-28348	176	30	.	.	PUNCT
bracis-28348	177	1	in	in	ADP
bracis-28348	177	2	such	such	ADJ
bracis-28348	177	3	scenarios	scenario	NOUN
bracis-28348	177	4	,	,	PUNCT
bracis-28348	177	5	the	the	DET
bracis-28348	177	6	automatic	automatic	ADJ
bracis-28348	177	7	extraction	extraction	NOUN
bracis-28348	177	8	of	of	ADP
bracis-28348	177	9	a	a	DET
bracis-28348	177	10	partition	partition	NOUN
bracis-28348	177	11	of	of	ADP
bracis-28348	177	12	clusters	cluster	NOUN
bracis-28348	177	13	may	may	AUX
bracis-28348	177	14	be	be	AUX
bracis-28348	177	15	preferred	prefer	VERB
bracis-28348	177	16	.	.	PUNCT
bracis-28348	178	1	fosc	fosc	PROPN
bracis-28348	178	2	is	be	AUX
bracis-28348	178	3	an	an	DET
bracis-28348	178	4	excellent	excellent	ADJ
bracis-28348	178	5	[	[	X
bracis-28348	178	6	7	7	NUM
bracis-28348	178	7	]	]	ADJ
bracis-28348	178	8	choice	choice	NOUN
bracis-28348	178	9	for	for	ADP
bracis-28348	178	10	this	this	DET
bracis-28348	178	11	job	job	NOUN
bracis-28348	178	12	.	.	PUNCT
bracis-28348	179	1	in	in	ADP
bracis-28348	179	2	fig	fig	NOUN
bracis-28348	179	3	.	.	PUNCT
bracis-28348	179	4	 	 	SPACE
bracis-28348	179	5	3	3	NUM
bracis-28348	179	6	,	,	PUNCT
bracis-28348	179	7	partitions	partition	NOUN
bracis-28348	179	8	selected	select	VERB
bracis-28348	179	9	(	(	PUNCT
bracis-28348	179	10	circled	circle	VERB
bracis-28348	179	11	)	)	PUNCT
bracis-28348	179	12	by	by	ADP
bracis-28348	179	13	fosc	fosc	PROPN
bracis-28348	179	14	in	in	ADP
bracis-28348	179	15	fig	fig	NOUN
bracis-28348	179	16	.	.	PUNCT
bracis-28348	179	17	 	 	SPACE
bracis-28348	179	18	2	2	NUM
bracis-28348	179	19	are	be	AUX
bracis-28348	179	20	presented	present	VERB
bracis-28348	179	21	.	.	PUNCT
bracis-28348	180	1	it	it	PRON
bracis-28348	180	2	is	be	AUX
bracis-28348	180	3	possible	possible	ADJ
bracis-28348	180	4	to	to	PART
bracis-28348	180	5	note	note	VERB
bracis-28348	180	6	that	that	SCONJ
bracis-28348	180	7	fosc	fosc	NOUN
bracis-28348	180	8	successfully	successfully	ADV
bracis-28348	180	9	extracted	extract	VERB
bracis-28348	180	10	prominent	prominent	ADJ
bracis-28348	180	11	clusters	cluster	NOUN
bracis-28348	180	12	in	in	ADP
bracis-28348	180	13	the	the	DET
bracis-28348	180	14	datasets	dataset	NOUN
bracis-28348	180	15	and	and	CCONJ
bracis-28348	180	16	correctly	correctly	ADV
bracis-28348	180	17	separated	separate	VERB
bracis-28348	180	18	noise	noise	NOUN
bracis-28348	180	19	.	.	PUNCT
bracis-28348	181	1	additionally	additionally	ADV
bracis-28348	181	2	,	,	PUNCT
bracis-28348	181	3	different	different	ADJ
bracis-28348	181	4	minpts	minpt	NOUN
bracis-28348	181	5	values	value	NOUN
bracis-28348	181	6	resulted	result	VERB
bracis-28348	181	7	in	in	ADP
bracis-28348	181	8	different	different	ADJ
bracis-28348	181	9	cluster	cluster	NOUN
bracis-28348	181	10	selections	selection	NOUN
bracis-28348	181	11	,	,	PUNCT
bracis-28348	181	12	where	where	SCONJ
bracis-28348	181	13	small	small	ADJ
bracis-28348	181	14	values	value	NOUN
bracis-28348	181	15	favor	favor	VERB
bracis-28348	181	16	the	the	DET
bracis-28348	181	17	selection	selection	NOUN
bracis-28348	181	18	of	of	ADP
bracis-28348	181	19	broader	broad	ADJ
bracis-28348	181	20	clusters	cluster	NOUN
bracis-28348	181	21	that	that	PRON
bracis-28348	181	22	resides	reside	VERB
bracis-28348	181	23	in	in	ADP
bracis-28348	181	24	the	the	DET
bracis-28348	181	25	higher	high	ADJ
bracis-28348	181	26	levels	level	NOUN
bracis-28348	181	27	of	of	ADP
bracis-28348	181	28	the	the	DET
bracis-28348	181	29	hierarchy	hierarchy	NOUN
bracis-28348	181	30	,	,	PUNCT
bracis-28348	181	31	as	as	SCONJ
bracis-28348	181	32	they	they	PRON
bracis-28348	181	33	are	be	AUX
bracis-28348	181	34	more	more	ADV
bracis-28348	181	35	present	present	ADJ
bracis-28348	181	36	in	in	ADP
bracis-28348	181	37	the	the	DET
bracis-28348	181	38	hierarchy	hierarchy	NOUN
bracis-28348	181	39	than	than	ADP
bracis-28348	181	40	their	their	PRON
bracis-28348	181	41	several	several	ADJ
bracis-28348	181	42	smaller	small	ADJ
bracis-28348	181	43	nested	nested	ADJ
bracis-28348	181	44	child	child	NOUN
bracis-28348	181	45	clusters	cluster	NOUN
bracis-28348	181	46	.	.	PUNCT
bracis-28348	182	1	in	in	ADP
bracis-28348	182	2	contrast	contrast	NOUN
bracis-28348	182	3	,	,	PUNCT
bracis-28348	182	4	a	a	DET
bracis-28348	182	5	higher	high	ADJ
bracis-28348	182	6	minpts	minpt	NOUN
bracis-28348	182	7	value	value	NOUN
bracis-28348	182	8	prevents	prevent	VERB
bracis-28348	182	9	smaller	small	ADJ
bracis-28348	182	10	cluster	cluster	NOUN
bracis-28348	182	11	structures	structure	NOUN
bracis-28348	182	12	at	at	ADP
bracis-28348	182	13	the	the	DET
bracis-28348	182	14	bottom	bottom	NOUN
bracis-28348	182	15	of	of	ADP
bracis-28348	182	16	the	the	DET
bracis-28348	182	17	hierarchy	hierarchy	NOUN
bracis-28348	182	18	,	,	PUNCT
bracis-28348	182	19	favoring	favor	VERB
bracis-28348	182	20	the	the	DET
bracis-28348	182	21	selection	selection	NOUN
bracis-28348	182	22	of	of	ADP
bracis-28348	182	23	denser	dense	ADJ
bracis-28348	182	24	clusters	cluster	NOUN
bracis-28348	182	25	nested	nest	VERB
bracis-28348	182	26	into	into	ADP
bracis-28348	182	27	the	the	DET
bracis-28348	182	28	broader	broad	ADJ
bracis-28348	182	29	ones	one	NOUN
bracis-28348	182	30	.	.	PUNCT
bracis-28348	183	1	the	the	DET
bracis-28348	183	2	results	result	NOUN
bracis-28348	183	3	explicit	explicit	VERB
bracis-28348	183	4	the	the	DET
bracis-28348	183	5	importance	importance	NOUN
bracis-28348	183	6	of	of	ADP
bracis-28348	183	7	the	the	DET
bracis-28348	183	8	analysis	analysis	NOUN
bracis-28348	183	9	of	of	ADP
bracis-28348	183	10	multiple	multiple	ADJ
bracis-28348	183	11	results	result	NOUN
bracis-28348	183	12	with	with	ADP
bracis-28348	183	13	different	different	ADJ
bracis-28348	183	14	minpts	minpt	NOUN
bracis-28348	183	15	values	value	NOUN
bracis-28348	183	16	,	,	PUNCT
bracis-28348	183	17	as	as	SCONJ
bracis-28348	183	18	all	all	PRON
bracis-28348	183	19	of	of	ADP
bracis-28348	183	20	them	they	PRON
bracis-28348	183	21	have	have	VERB
bracis-28348	183	22	the	the	DET
bracis-28348	183	23	potential	potential	NOUN
bracis-28348	183	24	to	to	PART
bracis-28348	183	25	be	be	AUX
bracis-28348	183	26	considered	consider	VERB
bracis-28348	183	27	“	"	PUNCT
bracis-28348	183	28	the	the	DET
bracis-28348	183	29	best	good	ADJ
bracis-28348	183	30	”	"	PUNCT
bracis-28348	183	31	and	and	CCONJ
bracis-28348	183	32	validate	validate	VERB
bracis-28348	183	33	the	the	DET
bracis-28348	183	34	main	main	ADJ
bracis-28348	183	35	objective	objective	NOUN
bracis-28348	183	36	of	of	ADP
bracis-28348	183	37	the	the	DET
bracis-28348	183	38	present	present	ADJ
bracis-28348	183	39	work	work	NOUN
bracis-28348	183	40	.	.	PUNCT
bracis-28348	184	1	furthermore	furthermore	ADV
bracis-28348	184	2	,	,	PUNCT
bracis-28348	184	3	summarizing	summarize	VERB
bracis-28348	184	4	the	the	DET
bracis-28348	184	5	data	datum	NOUN
bracis-28348	184	6	did	do	AUX
bracis-28348	184	7	not	not	PART
bracis-28348	184	8	impact	impact	VERB
bracis-28348	184	9	the	the	DET
bracis-28348	184	10	choice	choice	NOUN
bracis-28348	184	11	of	of	ADP
bracis-28348	184	12	clusters	cluster	NOUN
bracis-28348	184	13	made	make	VERB
bracis-28348	184	14	by	by	ADP
bracis-28348	184	15	fosc	fosc	PROPN
bracis-28348	184	16	,	,	PUNCT
bracis-28348	184	17	as	as	SCONJ
bracis-28348	184	18	the	the	DET
bracis-28348	184	19	framework	framework	NOUN
bracis-28348	184	20	has	have	AUX
bracis-28348	184	21	detected	detect	VERB
bracis-28348	184	22	the	the	DET
bracis-28348	184	23	most	most	ADV
bracis-28348	184	24	prominent	prominent	ADJ
bracis-28348	184	25	ones	one	NOUN
bracis-28348	184	26	seamlessly	seamlessly	ADV
bracis-28348	184	27	for	for	ADP
bracis-28348	184	28	different	different	ADJ
bracis-28348	184	29	minpts	minpt	NOUN
bracis-28348	184	30	values	value	NOUN
bracis-28348	184	31	.	.	PUNCT
bracis-28348	185	1	fig	fig	NOUN
bracis-28348	185	2	.	.	PUNCT
bracis-28348	186	1	3	3	X
bracis-28348	186	2	.	.	X
bracis-28348	186	3	cluster	cluster	NOUN
bracis-28348	186	4	chart	chart	NOUN
bracis-28348	186	5	by	by	ADP
bracis-28348	186	6	representative	representative	ADJ
bracis-28348	186	7	minpts	minpt	NOUN
bracis-28348	186	8	in	in	ADP
bracis-28348	186	9	datasets	dataset	NOUN
bracis-28348	186	10	.	.	PUNCT
bracis-28348	187	1	full	full	ADJ
bracis-28348	187	2	size	size	NOUN
bracis-28348	187	3	image	image	NOUN
bracis-28348	187	4	4.2	4.2	NUM
bracis-28348	187	5	comparison	comparison	NOUN
bracis-28348	187	6	between	between	ADP
bracis-28348	187	7	core	core	NOUN
bracis-28348	187	8	-	-	PUNCT
bracis-28348	187	9	sg	sg	NOUN
bracis-28348	187	10	and	and	CCONJ
bracis-28348	187	11	 	 	SPACE
bracis-28348	187	12	core	core	NOUN
bracis-28348	187	13	-	-	PUNCT
bracis-28348	187	14	ssg	ssg	NOUN
bracis-28348	187	15	partitions	partition	NOUN
bracis-28348	187	16	as	as	ADP
bracis-28348	187	17	the	the	DET
bracis-28348	187	18	hierarchies	hierarchy	NOUN
bracis-28348	187	19	of	of	ADP
bracis-28348	187	20	core	core	NOUN
bracis-28348	187	21	-	-	PUNCT
bracis-28348	187	22	sg	sg	PROPN
bracis-28348	187	23	and	and	CCONJ
bracis-28348	187	24	core	core	NOUN
bracis-28348	187	25	-	-	PUNCT
bracis-28348	187	26	ssg	ssg	PROPN
bracis-28348	187	27	are	be	AUX
bracis-28348	187	28	not	not	PART
bracis-28348	187	29	comparable	comparable	ADJ
bracis-28348	187	30	due	due	ADJ
bracis-28348	187	31	to	to	ADP
bracis-28348	187	32	summarization	summarization	NOUN
bracis-28348	187	33	,	,	PUNCT
bracis-28348	187	34	we	we	PRON
bracis-28348	187	35	compared	compare	VERB
bracis-28348	187	36	the	the	DET
bracis-28348	187	37	fosc	fosc	ADJ
bracis-28348	187	38	extracted	extract	VERB
bracis-28348	187	39	partitions	partition	NOUN
bracis-28348	187	40	between	between	ADP
bracis-28348	187	41	core	core	NOUN
bracis-28348	187	42	-	-	PUNCT
bracis-28348	187	43	sg	sg	PROPN
bracis-28348	187	44	and	and	CCONJ
bracis-28348	187	45	core	core	NOUN
bracis-28348	187	46	-	-	PUNCT
bracis-28348	187	47	ssg	ssg	NOUN
bracis-28348	187	48	to	to	PART
bracis-28348	187	49	check	check	VERB
bracis-28348	187	50	if	if	SCONJ
bracis-28348	187	51	the	the	DET
bracis-28348	187	52	prominent	prominent	ADJ
bracis-28348	187	53	clusters	cluster	NOUN
bracis-28348	187	54	are	be	AUX
bracis-28348	187	55	similar	similar	ADJ
bracis-28348	187	56	.	.	PUNCT
bracis-28348	188	1	we	we	PRON
bracis-28348	188	2	used	use	VERB
bracis-28348	188	3	the	the	DET
bracis-28348	188	4	adjusted	adjust	VERB
bracis-28348	188	5	rand	rand	NOUN
bracis-28348	188	6	index	index	NOUN
bracis-28348	188	7	(	(	PUNCT
bracis-28348	188	8	ari	ari	PROPN
bracis-28348	188	9	)	)	PUNCT
bracis-28348	189	1	[	[	X
bracis-28348	189	2	11	11	NUM
bracis-28348	189	3	]	]	PUNCT
bracis-28348	189	4	to	to	PART
bracis-28348	189	5	obtain	obtain	VERB
bracis-28348	189	6	the	the	DET
bracis-28348	189	7	similarities	similarity	NOUN
bracis-28348	189	8	between	between	ADP
bracis-28348	189	9	the	the	DET
bracis-28348	189	10	extracted	extract	VERB
bracis-28348	189	11	partitions	partition	NOUN
bracis-28348	189	12	where	where	SCONJ
bracis-28348	189	13	one	one	PRON
bracis-28348	189	14	indicates	indicate	VERB
bracis-28348	189	15	that	that	SCONJ
bracis-28348	189	16	the	the	DET
bracis-28348	189	17	partitions	partition	NOUN
bracis-28348	189	18	are	be	AUX
bracis-28348	189	19	identical	identical	ADJ
bracis-28348	189	20	and	and	CCONJ
bracis-28348	189	21	zero	zero	NUM
bracis-28348	189	22	is	be	AUX
bracis-28348	189	23	adjusted	adjust	VERB
bracis-28348	189	24	to	to	PART
bracis-28348	189	25	reflect	reflect	VERB
bracis-28348	189	26	randomness	randomness	NOUN
bracis-28348	189	27	.	.	PUNCT
bracis-28348	190	1	figure	figure	NOUN
bracis-28348	190	2	 	 	SPACE
bracis-28348	190	3	4	4	NUM
bracis-28348	190	4	presents	present	VERB
bracis-28348	190	5	the	the	DET
bracis-28348	190	6	ari	ari	PROPN
bracis-28348	190	7	heatmap	heatmap	NOUN
bracis-28348	190	8	resulting	result	VERB
bracis-28348	190	9	from	from	ADP
bracis-28348	190	10	the	the	DET
bracis-28348	190	11	pairwise	pairwise	NOUN
bracis-28348	190	12	comparison	comparison	NOUN
bracis-28348	190	13	among	among	ADP
bracis-28348	190	14	partitions	partition	NOUN
bracis-28348	190	15	from	from	ADP
bracis-28348	190	16	core	core	NOUN
bracis-28348	190	17	-	-	PUNCT
bracis-28348	190	18	sg	sg	PROPN
bracis-28348	190	19	and	and	CCONJ
bracis-28348	190	20	core	core	NOUN
bracis-28348	190	21	-	-	PUNCT
bracis-28348	190	22	ssg	ssg	NOUN
bracis-28348	190	23	with	with	ADP
bracis-28348	190	24	different	different	ADJ
bracis-28348	190	25	minpts	minpt	NOUN
bracis-28348	190	26	values	value	NOUN
bracis-28348	190	27	.	.	PUNCT
bracis-28348	191	1	core	core	NOUN
bracis-28348	191	2	-	-	PUNCT
bracis-28348	191	3	sg	sg	ADP
bracis-28348	191	4	partitions	partition	NOUN
bracis-28348	191	5	are	be	AUX
bracis-28348	191	6	presented	present	VERB
bracis-28348	191	7	in	in	ADP
bracis-28348	191	8	the	the	DET
bracis-28348	191	9	horizontal	horizontal	ADJ
bracis-28348	191	10	axis	axis	NOUN
bracis-28348	191	11	,	,	PUNCT
bracis-28348	191	12	and	and	CCONJ
bracis-28348	191	13	core	core	NOUN
bracis-28348	191	14	-	-	PUNCT
bracis-28348	191	15	ssg	ssg	PROPN
bracis-28348	191	16	partitions	partition	NOUN
bracis-28348	191	17	are	be	AUX
bracis-28348	191	18	in	in	ADP
bracis-28348	191	19	the	the	DET
bracis-28348	191	20	vertical	vertical	ADJ
bracis-28348	191	21	axis	axis	NOUN
bracis-28348	191	22	.	.	PUNCT
bracis-28348	192	1	the	the	DET
bracis-28348	192	2	heatmaps	heatmap	NOUN
bracis-28348	192	3	show	show	VERB
bracis-28348	192	4	that	that	SCONJ
bracis-28348	192	5	,	,	PUNCT
bracis-28348	192	6	for	for	ADP
bracis-28348	192	7	small	small	ADJ
bracis-28348	192	8	minpts	minpt	NOUN
bracis-28348	192	9	values	value	NOUN
bracis-28348	192	10	,	,	PUNCT
bracis-28348	192	11	the	the	DET
bracis-28348	192	12	core	core	NOUN
bracis-28348	192	13	-	-	PUNCT
bracis-28348	192	14	sg	sg	PROPN
bracis-28348	192	15	has	have	VERB
bracis-28348	192	16	a	a	DET
bracis-28348	192	17	much	much	ADV
bracis-28348	192	18	more	more	ADV
bracis-28348	192	19	detailed	detailed	ADJ
bracis-28348	192	20	partition	partition	NOUN
bracis-28348	192	21	,	,	PUNCT
bracis-28348	192	22	and	and	CCONJ
bracis-28348	192	23	core	core	NOUN
bracis-28348	192	24	-	-	PUNCT
bracis-28348	192	25	ssg	ssg	NOUN
bracis-28348	192	26	tends	tend	VERB
bracis-28348	192	27	to	to	PART
bracis-28348	192	28	unify	unify	VERB
bracis-28348	192	29	small	small	ADJ
bracis-28348	192	30	clusters	cluster	NOUN
bracis-28348	192	31	,	,	PUNCT
bracis-28348	192	32	which	which	PRON
bracis-28348	192	33	is	be	AUX
bracis-28348	192	34	expected	expect	VERB
bracis-28348	192	35	because	because	SCONJ
bracis-28348	192	36	the	the	DET
bracis-28348	192	37	information	information	NOUN
bracis-28348	192	38	within	within	ADP
bracis-28348	192	39	the	the	DET
bracis-28348	192	40	dbs	dbs	NOUN
bracis-28348	192	41	is	be	AUX
bracis-28348	192	42	summarized	summarize	VERB
bracis-28348	192	43	and	and	CCONJ
bracis-28348	192	44	can	can	AUX
bracis-28348	192	45	not	not	PART
bracis-28348	192	46	be	be	AUX
bracis-28348	192	47	split	split	VERB
bracis-28348	192	48	.	.	PUNCT
bracis-28348	193	1	that	that	PRON
bracis-28348	193	2	is	be	AUX
bracis-28348	193	3	reflected	reflect	VERB
bracis-28348	193	4	in	in	ADP
bracis-28348	193	5	the	the	DET
bracis-28348	193	6	darker	dark	ADJ
bracis-28348	193	7	area	area	NOUN
bracis-28348	193	8	over	over	ADP
bracis-28348	193	9	small	small	ADJ
bracis-28348	193	10	minpts	minpt	NOUN
bracis-28348	193	11	values	value	NOUN
bracis-28348	193	12	.	.	PUNCT
bracis-28348	194	1	for	for	ADP
bracis-28348	194	2	large	large	ADJ
bracis-28348	194	3	datasets	dataset	NOUN
bracis-28348	194	4	,	,	PUNCT
bracis-28348	194	5	small	small	ADJ
bracis-28348	194	6	values	value	NOUN
bracis-28348	194	7	of	of	ADP
bracis-28348	194	8	minpts	minpt	NOUN
bracis-28348	194	9	tend	tend	VERB
bracis-28348	194	10	to	to	PART
bracis-28348	194	11	over	over	ADP
bracis-28348	194	12	-	-	PUNCT
bracis-28348	194	13	fragment	fragment	VERB
bracis-28348	194	14	the	the	DET
bracis-28348	194	15	clustering	cluster	VERB
bracis-28348	194	16	structure	structure	NOUN
bracis-28348	194	17	into	into	ADP
bracis-28348	194	18	a	a	DET
bracis-28348	194	19	hard	hard	ADJ
bracis-28348	194	20	-	-	PUNCT
bracis-28348	194	21	to	to	ADP
bracis-28348	194	22	-	-	PUNCT
bracis-28348	194	23	interpret	interpret	NOUN
bracis-28348	194	24	solution	solution	NOUN
bracis-28348	194	25	.	.	PUNCT
bracis-28348	195	1	according	accord	VERB
bracis-28348	195	2	to	to	ADP
bracis-28348	195	3	the	the	DET
bracis-28348	195	4	ari	ari	PROPN
bracis-28348	195	5	,	,	PUNCT
bracis-28348	195	6	for	for	ADP
bracis-28348	195	7	medium	medium	ADJ
bracis-28348	195	8	and	and	CCONJ
bracis-28348	195	9	high	high	ADJ
bracis-28348	195	10	values	value	NOUN
bracis-28348	195	11	of	of	ADP
bracis-28348	195	12	minpts	minpt	NOUN
bracis-28348	195	13	,	,	PUNCT
bracis-28348	195	14	most	most	ADJ
bracis-28348	195	15	heatmaps	heatmap	NOUN
bracis-28348	195	16	present	present	VERB
bracis-28348	195	17	bright	bright	ADJ
bracis-28348	195	18	areas	area	NOUN
bracis-28348	195	19	that	that	PRON
bracis-28348	195	20	reflect	reflect	VERB
bracis-28348	195	21	a	a	DET
bracis-28348	195	22	similarity	similarity	NOUN
bracis-28348	195	23	over	over	ADP
bracis-28348	195	24	0.85	0.85	NUM
bracis-28348	195	25	.	.	PUNCT
bracis-28348	196	1	this	this	DET
bracis-28348	196	2	result	result	NOUN
bracis-28348	196	3	shows	show	VERB
bracis-28348	196	4	that	that	SCONJ
bracis-28348	196	5	the	the	DET
bracis-28348	196	6	main	main	ADJ
bracis-28348	196	7	cluster	cluster	NOUN
bracis-28348	196	8	structure	structure	NOUN
bracis-28348	196	9	of	of	ADP
bracis-28348	196	10	the	the	DET
bracis-28348	196	11	data	data	NOUN
bracis-28348	196	12	is	be	AUX
bracis-28348	196	13	present	present	ADJ
bracis-28348	196	14	in	in	ADP
bracis-28348	196	15	the	the	DET
bracis-28348	196	16	results	result	NOUN
bracis-28348	196	17	of	of	ADP
bracis-28348	196	18	both	both	DET
bracis-28348	196	19	graphs	graph	NOUN
bracis-28348	196	20	,	,	PUNCT
bracis-28348	196	21	sometimes	sometimes	ADV
bracis-28348	196	22	for	for	ADP
bracis-28348	196	23	distinct	distinct	ADJ
bracis-28348	196	24	values	value	NOUN
bracis-28348	196	25	of	of	ADP
bracis-28348	196	26	minpts	minpt	NOUN
bracis-28348	196	27	,	,	PUNCT
bracis-28348	196	28	which	which	PRON
bracis-28348	196	29	also	also	ADV
bracis-28348	196	30	support	support	VERB
bracis-28348	196	31	the	the	DET
bracis-28348	196	32	importance	importance	NOUN
bracis-28348	196	33	of	of	ADP
bracis-28348	196	34	a	a	DET
bracis-28348	196	35	multi	multi	ADJ
bracis-28348	196	36	-	-	ADJ
bracis-28348	196	37	density	density	NOUN
bracis-28348	196	38	analysis	analysis	NOUN
bracis-28348	196	39	of	of	ADP
bracis-28348	196	40	the	the	DET
bracis-28348	196	41	dataset	dataset	NOUN
bracis-28348	196	42	,	,	PUNCT
bracis-28348	196	43	the	the	DET
bracis-28348	196	44	objective	objective	NOUN
bracis-28348	196	45	of	of	ADP
bracis-28348	196	46	this	this	DET
bracis-28348	196	47	paper	paper	NOUN
bracis-28348	196	48	.	.	PUNCT
bracis-28348	197	1	fig	fig	NOUN
bracis-28348	197	2	.	.	PUNCT
bracis-28348	198	1	4	4	X
bracis-28348	198	2	.	.	X
bracis-28348	198	3	comparing	compare	VERB
bracis-28348	198	4	partitions	partition	NOUN
bracis-28348	198	5	with	with	ADP
bracis-28348	198	6	and	and	CCONJ
bracis-28348	198	7	without	without	ADP
bracis-28348	198	8	dbs	dbs	NOUN
bracis-28348	198	9	in	in	ADP
bracis-28348	198	10	datasets	dataset	NOUN
bracis-28348	198	11	.	.	PUNCT
bracis-28348	199	1	full	full	ADJ
bracis-28348	199	2	size	size	NOUN
bracis-28348	199	3	image	image	NOUN
bracis-28348	199	4	4.3	4.3	NUM
bracis-28348	199	5	runtime	runtime	NOUN
bracis-28348	199	6	analysis	analysis	NOUN
bracis-28348	199	7	to	to	PART
bracis-28348	199	8	assess	assess	VERB
bracis-28348	199	9	the	the	DET
bracis-28348	199	10	computational	computational	ADJ
bracis-28348	199	11	performance	performance	NOUN
bracis-28348	199	12	of	of	ADP
bracis-28348	199	13	core	core	NOUN
bracis-28348	199	14	-	-	PUNCT
bracis-28348	199	15	ssg	ssg	NOUN
bracis-28348	199	16	in	in	ADP
bracis-28348	199	17	relation	relation	NOUN
bracis-28348	199	18	to	to	ADP
bracis-28348	199	19	core	core	NOUN
bracis-28348	199	20	-	-	PUNCT
bracis-28348	199	21	sg	sg	NOUN
bracis-28348	199	22	,	,	PUNCT
bracis-28348	199	23	we	we	PRON
bracis-28348	199	24	created	create	VERB
bracis-28348	199	25	datasets	dataset	NOUN
bracis-28348	199	26	with	with	ADP
bracis-28348	199	27	a	a	DET
bracis-28348	199	28	variety	variety	NOUN
bracis-28348	199	29	of	of	ADP
bracis-28348	199	30	sizes	size	NOUN
bracis-28348	199	31	,	,	PUNCT
bracis-28348	199	32	dimensions	dimension	NOUN
bracis-28348	199	33	,	,	PUNCT
bracis-28348	199	34	and	and	CCONJ
bracis-28348	199	35	different	different	ADJ
bracis-28348	199	36	levels	level	NOUN
bracis-28348	199	37	of	of	ADP
bracis-28348	199	38	summarization	summarization	NOUN
bracis-28348	199	39	,	,	PUNCT
bracis-28348	199	40	as	as	SCONJ
bracis-28348	199	41	described	describe	VERB
bracis-28348	199	42	in	in	ADP
bracis-28348	199	43	table	table	NOUN
bracis-28348	199	44	 	 	SPACE
bracis-28348	199	45	1	1	NUM
bracis-28348	199	46	.	.	PUNCT
bracis-28348	199	47	to	to	PART
bracis-28348	199	48	evaluate	evaluate	VERB
bracis-28348	199	49	each	each	DET
bracis-28348	199	50	characteristic	characteristic	NOUN
bracis-28348	199	51	separately	separately	ADV
bracis-28348	199	52	,	,	PUNCT
bracis-28348	199	53	default	default	NOUN
bracis-28348	199	54	values	value	NOUN
bracis-28348	199	55	were	be	AUX
bracis-28348	199	56	fixed	fix	VERB
bracis-28348	199	57	and	and	CCONJ
bracis-28348	199	58	presented	present	VERB
bracis-28348	199	59	in	in	ADP
bracis-28348	199	60	bold	bold	ADJ
bracis-28348	199	61	in	in	ADP
bracis-28348	199	62	table	table	NOUN
bracis-28348	199	63	 	 	SPACE
bracis-28348	199	64	1	1	NUM
bracis-28348	199	65	.	.	PUNCT
bracis-28348	200	1	additionally	additionally	ADV
bracis-28348	200	2	,	,	PUNCT
bracis-28348	200	3	we	we	PRON
bracis-28348	200	4	also	also	ADV
bracis-28348	200	5	considered	consider	VERB
bracis-28348	200	6	a	a	DET
bracis-28348	200	7	variety	variety	NOUN
bracis-28348	200	8	of	of	ADP
bracis-28348	200	9	\(minpts_{max}\	\(minpts_{max}\	NOUN
bracis-28348	200	10	)	)	PUNCT
bracis-28348	200	11	values	value	NOUN
bracis-28348	200	12	used	use	VERB
bracis-28348	200	13	to	to	PART
bracis-28348	200	14	build	build	VERB
bracis-28348	200	15	the	the	DET
bracis-28348	200	16	graphs	graph	NOUN
bracis-28348	200	17	.	.	PUNCT
bracis-28348	201	1	the	the	DET
bracis-28348	201	2	runtime	runtime	NOUN
bracis-28348	201	3	necessary	necessary	ADJ
bracis-28348	201	4	to	to	PART
bracis-28348	201	5	obtain	obtain	VERB
bracis-28348	201	6	the	the	DET
bracis-28348	201	7	graphs	graph	NOUN
bracis-28348	201	8	,	,	PUNCT
bracis-28348	201	9	core	core	NOUN
bracis-28348	201	10	-	-	PUNCT
bracis-28348	201	11	sg	sg	PROPN
bracis-28348	201	12	and	and	CCONJ
bracis-28348	201	13	core	core	NOUN
bracis-28348	201	14	-	-	PUNCT
bracis-28348	201	15	ssg	ssg	NOUN
bracis-28348	201	16	,	,	PUNCT
bracis-28348	201	17	added	add	VERB
bracis-28348	201	18	to	to	ADP
bracis-28348	201	19	the	the	DET
bracis-28348	201	20	time	time	NOUN
bracis-28348	201	21	needed	need	VERB
bracis-28348	201	22	for	for	ADP
bracis-28348	201	23	the	the	DET
bracis-28348	201	24	hierarchical	hierarchical	ADJ
bracis-28348	201	25	density	density	NOUN
bracis-28348	201	26	solutions	solution	NOUN
bracis-28348	201	27	extraction	extraction	NOUN
bracis-28348	201	28	,	,	PUNCT
bracis-28348	201	29	are	be	AUX
bracis-28348	201	30	presented	present	VERB
bracis-28348	201	31	in	in	ADP
bracis-28348	201	32	fig	fig	NOUN
bracis-28348	201	33	.	.	PUNCT
bracis-28348	201	34	 	 	SPACE
bracis-28348	202	1	5	5	NUM
bracis-28348	202	2	.	.	PUNCT
bracis-28348	202	3	table	table	NOUN
bracis-28348	202	4	1	1	NUM
bracis-28348	202	5	.	.	PUNCT
bracis-28348	202	6	dataset	dataset	ADJ
bracis-28348	202	7	characteristics	characteristic	NOUN
bracis-28348	202	8	and	and	CCONJ
bracis-28348	202	9	experimental	experimental	ADJ
bracis-28348	202	10	setup.full	setup.full	ADJ
bracis-28348	202	11	size	size	NOUN
bracis-28348	202	12	table	table	NOUN
bracis-28348	202	13	fig	fig	NOUN
bracis-28348	202	14	.	.	PUNCT
bracis-28348	203	1	5	5	NUM
bracis-28348	203	2	.	.	X
bracis-28348	203	3	runtime	runtime	NOUN
bracis-28348	203	4	to	to	PART
bracis-28348	203	5	build	build	VERB
bracis-28348	203	6	the	the	DET
bracis-28348	203	7	graphs	graph	NOUN
bracis-28348	203	8	and	and	CCONJ
bracis-28348	203	9	extract	extract	VERB
bracis-28348	203	10	the	the	DET
bracis-28348	203	11	hierarchical	hierarchical	ADJ
bracis-28348	203	12	density	density	NOUN
bracis-28348	203	13	solutions	solution	NOUN
bracis-28348	203	14	for	for	ADP
bracis-28348	203	15	core	core	NOUN
bracis-28348	203	16	-	-	PUNCT
bracis-28348	203	17	sg	sg	PROPN
bracis-28348	203	18	and	and	CCONJ
bracis-28348	203	19	core	core	NOUN
bracis-28348	203	20	-	-	PUNCT
bracis-28348	203	21	ssg	ssg	NOUN
bracis-28348	203	22	.	.	PUNCT
bracis-28348	203	23	full	full	ADJ
bracis-28348	203	24	size	size	NOUN
bracis-28348	203	25	image	image	NOUN
bracis-28348	203	26	figure	figure	NOUN
bracis-28348	203	27	 	 	SPACE
bracis-28348	203	28	5	5	NUM
bracis-28348	203	29	(	(	PUNCT
bracis-28348	203	30	a	a	NOUN
bracis-28348	203	31	)	)	PUNCT
bracis-28348	203	32	shows	show	VERB
bracis-28348	203	33	that	that	SCONJ
bracis-28348	203	34	the	the	DET
bracis-28348	203	35	parameter	parameter	NOUN
bracis-28348	203	36	minpts	minpt	NOUN
bracis-28348	203	37	has	have	VERB
bracis-28348	203	38	a	a	DET
bracis-28348	203	39	linear	linear	ADJ
bracis-28348	203	40	correlation	correlation	NOUN
bracis-28348	203	41	with	with	ADP
bracis-28348	203	42	the	the	DET
bracis-28348	203	43	processing	processing	NOUN
bracis-28348	203	44	time	time	NOUN
bracis-28348	203	45	needed	need	VERB
bracis-28348	203	46	to	to	PART
bracis-28348	203	47	run	run	VERB
bracis-28348	203	48	the	the	DET
bracis-28348	203	49	experiment	experiment	NOUN
bracis-28348	203	50	for	for	ADP
bracis-28348	203	51	both	both	DET
bracis-28348	203	52	graphs	graph	NOUN
bracis-28348	203	53	,	,	PUNCT
bracis-28348	203	54	but	but	CCONJ
bracis-28348	203	55	core	core	NOUN
bracis-28348	203	56	-	-	PUNCT
bracis-28348	203	57	ssg	ssg	PROPN
bracis-28348	203	58	presented	present	VERB
bracis-28348	203	59	a	a	DET
bracis-28348	203	60	speedup	speedup	NOUN
bracis-28348	203	61	close	close	ADJ
bracis-28348	203	62	to	to	PART
bracis-28348	203	63	20	20	NUM
bracis-28348	203	64	times	time	NOUN
bracis-28348	203	65	better	well	ADJ
bracis-28348	203	66	than	than	ADP
bracis-28348	203	67	core	core	NOUN
bracis-28348	203	68	-	-	PUNCT
bracis-28348	203	69	sg	sg	NOUN
bracis-28348	203	70	.	.	PUNCT
bracis-28348	204	1	considering	consider	VERB
bracis-28348	204	2	the	the	DET
bracis-28348	204	3	dataset	dataset	NOUN
bracis-28348	204	4	size	size	NOUN
bracis-28348	204	5	n	n	NOUN
bracis-28348	204	6	and	and	CCONJ
bracis-28348	204	7	\(m	\(m	ADV
bracis-28348	204	8	<	<	X
bracis-28348	204	9	<	<	X
bracis-28348	204	10	n\	n\	NOUN
bracis-28348	204	11	)	)	PUNCT
bracis-28348	204	12	,	,	PUNCT
bracis-28348	204	13	fig	fig	NOUN
bracis-28348	204	14	.	.	PUNCT
bracis-28348	204	15	 	 	SPACE
bracis-28348	204	16	5	5	NUM
bracis-28348	204	17	(	(	PUNCT
bracis-28348	204	18	b	b	NOUN
bracis-28348	204	19	)	)	PUNCT
bracis-28348	204	20	clearly	clearly	ADV
bracis-28348	204	21	shows	show	VERB
bracis-28348	204	22	the	the	DET
bracis-28348	204	23	quadratic	quadratic	ADJ
bracis-28348	204	24	behavior	behavior	NOUN
bracis-28348	204	25	of	of	ADP
bracis-28348	204	26	core	core	NOUN
bracis-28348	204	27	-	-	PUNCT
bracis-28348	204	28	sg	sg	PROPN
bracis-28348	204	29	as	as	SCONJ
bracis-28348	204	30	the	the	DET
bracis-28348	204	31	dataset	dataset	NOUN
bracis-28348	204	32	size	size	NOUN
bracis-28348	204	33	increases	increase	VERB
bracis-28348	204	34	up	up	ADP
bracis-28348	204	35	to	to	ADP
bracis-28348	204	36	one	one	NUM
bracis-28348	204	37	million	million	NUM
bracis-28348	204	38	and	and	CCONJ
bracis-28348	204	39	how	how	SCONJ
bracis-28348	204	40	the	the	DET
bracis-28348	204	41	computational	computational	ADJ
bracis-28348	204	42	cost	cost	NOUN
bracis-28348	204	43	is	be	AUX
bracis-28348	204	44	amortized	amortize	VERB
bracis-28348	204	45	when	when	SCONJ
bracis-28348	204	46	using	use	VERB
bracis-28348	204	47	dbs	dbs	PROPN
bracis-28348	204	48	,	,	PUNCT
bracis-28348	204	49	i.e.	i.e.	X
bracis-28348	204	50	,	,	PUNCT
bracis-28348	204	51	for	for	ADP
bracis-28348	204	52	core	core	NOUN
bracis-28348	204	53	-	-	PUNCT
bracis-28348	204	54	ssg	ssg	NOUN
bracis-28348	204	55	.	.	PUNCT
bracis-28348	205	1	the	the	DET
bracis-28348	205	2	present	present	ADJ
bracis-28348	205	3	results	result	NOUN
bracis-28348	205	4	support	support	VERB
bracis-28348	205	5	the	the	DET
bracis-28348	205	6	main	main	ADJ
bracis-28348	205	7	research	research	NOUN
bracis-28348	205	8	hypothesis	hypothesis	NOUN
bracis-28348	205	9	of	of	ADP
bracis-28348	205	10	this	this	DET
bracis-28348	205	11	work	work	NOUN
bracis-28348	205	12	:	:	PUNCT
bracis-28348	205	13	data	datum	NOUN
bracis-28348	205	14	summarization	summarization	NOUN
bracis-28348	205	15	enables	enable	VERB
bracis-28348	205	16	scalability	scalability	NOUN
bracis-28348	205	17	for	for	ADP
bracis-28348	205	18	density	density	NOUN
bracis-28348	205	19	-	-	PUNCT
bracis-28348	205	20	based	base	VERB
bracis-28348	205	21	machine	machine	NOUN
bracis-28348	205	22	learning	learning	NOUN
bracis-28348	205	23	solutions	solution	NOUN
bracis-28348	205	24	,	,	PUNCT
bracis-28348	205	25	clustering	cluster	VERB
bracis-28348	205	26	algorithms	algorithm	NOUN
bracis-28348	205	27	in	in	ADP
bracis-28348	205	28	particular	particular	ADJ
bracis-28348	205	29	.	.	PUNCT
bracis-28348	206	1	summarization	summarization	NOUN
bracis-28348	206	2	also	also	ADV
bracis-28348	206	3	had	have	VERB
bracis-28348	206	4	an	an	DET
bracis-28348	206	5	impact	impact	NOUN
bracis-28348	206	6	on	on	ADP
bracis-28348	206	7	the	the	DET
bracis-28348	206	8	algorithms	algorithm	NOUN
bracis-28348	206	9	’	'	PUNCT
bracis-28348	206	10	total	total	ADJ
bracis-28348	206	11	runtime	runtime	NOUN
bracis-28348	206	12	when	when	SCONJ
bracis-28348	206	13	the	the	DET
bracis-28348	206	14	data	datum	NOUN
bracis-28348	206	15	’s	’s	PART
bracis-28348	206	16	dimensionality	dimensionality	NOUN
bracis-28348	206	17	increases	increase	NOUN
bracis-28348	206	18	,	,	PUNCT
bracis-28348	206	19	as	as	SCONJ
bracis-28348	206	20	shown	show	VERB
bracis-28348	206	21	in	in	ADP
bracis-28348	206	22	fig	fig	NOUN
bracis-28348	206	23	.	.	PUNCT
bracis-28348	206	24	 	 	SPACE
bracis-28348	207	1	5	5	NUM
bracis-28348	207	2	(	(	PUNCT
bracis-28348	207	3	c	c	NOUN
bracis-28348	207	4	)	)	PUNCT
bracis-28348	207	5	,	,	PUNCT
bracis-28348	207	6	with	with	ADP
bracis-28348	207	7	speedups	speedup	NOUN
bracis-28348	207	8	up	up	ADP
bracis-28348	207	9	to	to	PART
bracis-28348	207	10	15	15	NUM
bracis-28348	207	11	times	time	NOUN
bracis-28348	207	12	.	.	PUNCT
bracis-28348	208	1	last	last	ADJ
bracis-28348	208	2	but	but	CCONJ
bracis-28348	208	3	not	not	PART
bracis-28348	208	4	least	least	ADJ
bracis-28348	208	5	,	,	PUNCT
bracis-28348	208	6	the	the	DET
bracis-28348	208	7	total	total	ADJ
bracis-28348	208	8	time	time	NOUN
bracis-28348	208	9	needed	need	VERB
bracis-28348	208	10	for	for	ADP
bracis-28348	208	11	the	the	DET
bracis-28348	208	12	data	datum	NOUN
bracis-28348	208	13	summarization	summarization	NOUN
bracis-28348	208	14	,	,	PUNCT
bracis-28348	208	15	presented	present	VERB
bracis-28348	208	16	in	in	ADP
bracis-28348	208	17	fig	fig	NOUN
bracis-28348	208	18	.	.	PUNCT
bracis-28348	208	19	 	 	SPACE
bracis-28348	209	1	5	5	NUM
bracis-28348	209	2	(	(	PUNCT
bracis-28348	209	3	d	d	NOUN
bracis-28348	209	4	)	)	PUNCT
bracis-28348	209	5	,	,	PUNCT
bracis-28348	209	6	reflects	reflect	VERB
bracis-28348	209	7	the	the	DET
bracis-28348	209	8	linear	linear	ADJ
bracis-28348	209	9	increase	increase	NOUN
bracis-28348	209	10	of	of	ADP
bracis-28348	209	11	the	the	DET
bracis-28348	209	12	computational	computational	ADJ
bracis-28348	209	13	time	time	NOUN
bracis-28348	209	14	related	relate	VERB
bracis-28348	209	15	to	to	ADP
bracis-28348	209	16	the	the	DET
bracis-28348	209	17	proportion	proportion	NOUN
bracis-28348	209	18	of	of	ADP
bracis-28348	209	19	dbs	dbs	PROPN
bracis-28348	209	20	used	use	VERB
bracis-28348	209	21	,	,	PUNCT
bracis-28348	209	22	which	which	PRON
bracis-28348	209	23	reflects	reflect	VERB
bracis-28348	209	24	the	the	DET
bracis-28348	209	25	expected	expect	VERB
bracis-28348	209	26	behavior	behavior	NOUN
bracis-28348	209	27	for	for	ADP
bracis-28348	209	28	our	our	PRON
bracis-28348	209	29	proposal	proposal	NOUN
bracis-28348	209	30	and	and	CCONJ
bracis-28348	209	31	shows	show	VERB
bracis-28348	209	32	that	that	SCONJ
bracis-28348	209	33	summarization	summarization	NOUN
bracis-28348	209	34	requires	require	VERB
bracis-28348	209	35	a	a	DET
bracis-28348	209	36	small	small	ADJ
bracis-28348	209	37	fraction	fraction	NOUN
bracis-28348	209	38	of	of	ADP
bracis-28348	209	39	the	the	DET
bracis-28348	209	40	total	total	ADJ
bracis-28348	209	41	runtime	runtime	NOUN
bracis-28348	209	42	.	.	PUNCT
bracis-28348	210	1	5	5	NUM
bracis-28348	210	2	conclusion	conclusion	NOUN
bracis-28348	210	3	and	and	CCONJ
bracis-28348	210	4	 	 	SPACE
bracis-28348	210	5	future	future	ADJ
bracis-28348	210	6	work	work	NOUN
bracis-28348	210	7	the	the	DET
bracis-28348	210	8	main	main	ADJ
bracis-28348	210	9	goal	goal	NOUN
bracis-28348	210	10	of	of	ADP
bracis-28348	210	11	the	the	DET
bracis-28348	210	12	present	present	ADJ
bracis-28348	210	13	research	research	NOUN
bracis-28348	210	14	,	,	PUNCT
bracis-28348	210	15	enabling	enable	VERB
bracis-28348	210	16	the	the	DET
bracis-28348	210	17	use	use	NOUN
bracis-28348	210	18	of	of	ADP
bracis-28348	210	19	core	core	NOUN
bracis-28348	210	20	-	-	PUNCT
bracis-28348	210	21	sg	sg	NOUN
bracis-28348	210	22	over	over	ADP
bracis-28348	210	23	larger	large	ADJ
bracis-28348	210	24	datasets	dataset	NOUN
bracis-28348	210	25	,	,	PUNCT
bracis-28348	210	26	was	be	AUX
bracis-28348	210	27	achieved	achieve	VERB
bracis-28348	210	28	as	as	SCONJ
bracis-28348	210	29	we	we	PRON
bracis-28348	210	30	showed	show	VERB
bracis-28348	210	31	that	that	SCONJ
bracis-28348	210	32	a	a	DET
bracis-28348	210	33	single	single	ADJ
bracis-28348	210	34	core	core	NOUN
bracis-28348	210	35	-	-	PUNCT
bracis-28348	210	36	ssg	ssg	NOUN
bracis-28348	210	37	permits	permit	VERB
bracis-28348	210	38	the	the	DET
bracis-28348	210	39	accurate	accurate	ADJ
bracis-28348	210	40	extraction	extraction	NOUN
bracis-28348	210	41	of	of	ADP
bracis-28348	210	42	multiple	multiple	ADJ
bracis-28348	210	43	density	density	NOUN
bracis-28348	210	44	-	-	PUNCT
bracis-28348	210	45	based	base	VERB
bracis-28348	210	46	hierarchical	hierarchical	ADJ
bracis-28348	210	47	solutions	solution	NOUN
bracis-28348	210	48	for	for	ADP
bracis-28348	210	49	different	different	ADJ
bracis-28348	210	50	densities	density	NOUN
bracis-28348	210	51	parameters	parameter	NOUN
bracis-28348	210	52	at	at	ADP
bracis-28348	210	53	a	a	DET
bracis-28348	210	54	subquadratic	subquadratic	ADJ
bracis-28348	210	55	computational	computational	ADJ
bracis-28348	210	56	cost	cost	NOUN
bracis-28348	210	57	.	.	PUNCT
bracis-28348	211	1	that	that	PRON
bracis-28348	211	2	was	be	AUX
bracis-28348	211	3	shown	show	VERB
bracis-28348	211	4	theoretically	theoretically	ADV
bracis-28348	211	5	,	,	PUNCT
bracis-28348	211	6	with	with	ADP
bracis-28348	211	7	the	the	DET
bracis-28348	211	8	proof	proof	NOUN
bracis-28348	211	9	that	that	SCONJ
bracis-28348	211	10	core	core	NOUN
bracis-28348	211	11	-	-	PUNCT
bracis-28348	211	12	ssg	ssg	PROPN
bracis-28348	211	13	holds	hold	VERB
bracis-28348	211	14	the	the	DET
bracis-28348	211	15	main	main	ADJ
bracis-28348	211	16	characteristics	characteristic	NOUN
bracis-28348	211	17	of	of	ADP
bracis-28348	211	18	core	core	NOUN
bracis-28348	211	19	-	-	PUNCT
bracis-28348	211	20	sg	sg	NOUN
bracis-28348	211	21	,	,	PUNCT
bracis-28348	211	22	and	and	CCONJ
bracis-28348	211	23	empirically	empirically	ADV
bracis-28348	211	24	through	through	ADP
bracis-28348	211	25	experiments	experiment	NOUN
bracis-28348	211	26	.	.	PUNCT
bracis-28348	212	1	moreover	moreover	ADV
bracis-28348	212	2	,	,	PUNCT
bracis-28348	212	3	the	the	DET
bracis-28348	212	4	experiments	experiment	NOUN
bracis-28348	212	5	also	also	ADV
bracis-28348	212	6	supported	support	VERB
bracis-28348	212	7	the	the	DET
bracis-28348	212	8	importance	importance	NOUN
bracis-28348	212	9	of	of	ADP
bracis-28348	212	10	the	the	DET
bracis-28348	212	11	analysis	analysis	NOUN
bracis-28348	212	12	of	of	ADP
bracis-28348	212	13	multiple	multiple	ADJ
bracis-28348	212	14	density	density	NOUN
bracis-28348	212	15	-	-	PUNCT
bracis-28348	212	16	based	base	VERB
bracis-28348	212	17	results	result	NOUN
bracis-28348	212	18	,	,	PUNCT
bracis-28348	212	19	as	as	SCONJ
bracis-28348	212	20	datasets	dataset	NOUN
bracis-28348	212	21	can	can	AUX
bracis-28348	212	22	have	have	AUX
bracis-28348	212	23	nested	nest	VERB
bracis-28348	212	24	density	density	NOUN
bracis-28348	212	25	structures	structure	NOUN
bracis-28348	212	26	with	with	ADP
bracis-28348	212	27	different	different	ADJ
bracis-28348	212	28	characteristics	characteristic	NOUN
bracis-28348	212	29	,	,	PUNCT
bracis-28348	212	30	each	each	DET
bracis-28348	212	31	structure	structure	NOUN
bracis-28348	212	32	with	with	ADP
bracis-28348	212	33	its	its	PRON
bracis-28348	212	34	relative	relative	ADJ
bracis-28348	212	35	importance	importance	NOUN
bracis-28348	212	36	,	,	PUNCT
bracis-28348	212	37	which	which	PRON
bracis-28348	212	38	justifies	justify	VERB
bracis-28348	212	39	the	the	DET
bracis-28348	212	40	application	application	NOUN
bracis-28348	212	41	of	of	ADP
bracis-28348	212	42	core	core	NOUN
bracis-28348	212	43	-	-	PUNCT
bracis-28348	212	44	sg	sg	NOUN
bracis-28348	212	45	in	in	ADP
bracis-28348	212	46	a	a	DET
bracis-28348	212	47	pleura	pleura	NOUN
bracis-28348	212	48	of	of	ADP
bracis-28348	212	49	machine	machine	NOUN
bracis-28348	212	50	learning	learning	NOUN
bracis-28348	212	51	tasks	task	NOUN
bracis-28348	212	52	 	 	SPACE
bracis-28348	213	1	[	[	X
bracis-28348	213	2	10	10	NUM
bracis-28348	213	3	]	]	PUNCT
bracis-28348	213	4	,	,	PUNCT
bracis-28348	213	5	including	include	VERB
bracis-28348	213	6	clustering	clustering	NOUN
bracis-28348	213	7	.	.	PUNCT
bracis-28348	214	1	the	the	DET
bracis-28348	214	2	most	most	ADV
bracis-28348	214	3	prominent	prominent	ADJ
bracis-28348	214	4	clusters	cluster	NOUN
bracis-28348	214	5	(	(	PUNCT
bracis-28348	214	6	according	accord	VERB
bracis-28348	214	7	to	to	ADP
bracis-28348	214	8	the	the	DET
bracis-28348	214	9	fosc	fosc	ADJ
bracis-28348	214	10	framework	framework	NOUN
bracis-28348	214	11	)	)	PUNCT
bracis-28348	214	12	present	present	ADJ
bracis-28348	214	13	in	in	ADP
bracis-28348	214	14	the	the	DET
bracis-28348	214	15	original	original	ADJ
bracis-28348	214	16	version	version	NOUN
bracis-28348	214	17	of	of	ADP
bracis-28348	214	18	core	core	NOUN
bracis-28348	214	19	-	-	PUNCT
bracis-28348	214	20	sg	sg	NOUN
bracis-28348	214	21	are	be	AUX
bracis-28348	214	22	also	also	ADV
bracis-28348	214	23	present	present	ADJ
bracis-28348	214	24	in	in	ADP
bracis-28348	214	25	our	our	PRON
bracis-28348	214	26	core	core	NOUN
bracis-28348	214	27	-	-	PUNCT
bracis-28348	214	28	ssg	ssg	NOUN
bracis-28348	214	29	solution	solution	NOUN
bracis-28348	214	30	,	,	PUNCT
bracis-28348	214	31	obtaining	obtain	VERB
bracis-28348	214	32	a	a	DET
bracis-28348	214	33	significant	significant	ADJ
bracis-28348	214	34	computational	computational	ADJ
bracis-28348	214	35	cost	cost	NOUN
bracis-28348	214	36	reduction	reduction	NOUN
bracis-28348	214	37	.	.	PUNCT
bracis-28348	215	1	the	the	DET
bracis-28348	215	2	downside	downside	NOUN
bracis-28348	215	3	of	of	ADP
bracis-28348	215	4	our	our	PRON
bracis-28348	215	5	approach	approach	NOUN
bracis-28348	215	6	is	be	AUX
bracis-28348	215	7	the	the	DET
bracis-28348	215	8	loss	loss	NOUN
bracis-28348	215	9	of	of	ADP
bracis-28348	215	10	small	small	ADJ
bracis-28348	215	11	density	density	NOUN
bracis-28348	215	12	-	-	PUNCT
bracis-28348	215	13	based	base	VERB
bracis-28348	215	14	structures	structure	NOUN
bracis-28348	215	15	summarized	summarize	VERB
bracis-28348	215	16	inside	inside	ADP
bracis-28348	215	17	the	the	DET
bracis-28348	215	18	dbs	dbs	PROPN
bracis-28348	215	19	,	,	PUNCT
bracis-28348	215	20	which	which	PRON
bracis-28348	215	21	were	be	AUX
bracis-28348	215	22	rarely	rarely	ADV
bracis-28348	215	23	considered	consider	VERB
bracis-28348	215	24	prominent	prominent	ADJ
bracis-28348	215	25	by	by	ADP
bracis-28348	215	26	the	the	DET
bracis-28348	215	27	fosc	fosc	ADJ
bracis-28348	215	28	framework	framework	NOUN
bracis-28348	215	29	as	as	SCONJ
bracis-28348	215	30	they	they	PRON
bracis-28348	215	31	connect	connect	VERB
bracis-28348	215	32	a	a	DET
bracis-28348	215	33	very	very	ADV
bracis-28348	215	34	small	small	ADJ
bracis-28348	215	35	fraction	fraction	NOUN
bracis-28348	215	36	of	of	ADP
bracis-28348	215	37	the	the	DET
bracis-28348	215	38	dataset	dataset	NOUN
bracis-28348	215	39	.	.	PUNCT
bracis-28348	216	1	thus	thus	ADV
bracis-28348	216	2	,	,	PUNCT
bracis-28348	216	3	our	our	PRON
bracis-28348	216	4	solution	solution	NOUN
bracis-28348	216	5	is	be	AUX
bracis-28348	216	6	indicated	indicate	VERB
bracis-28348	216	7	for	for	ADP
bracis-28348	216	8	large	large	ADJ
bracis-28348	216	9	volumes	volume	NOUN
bracis-28348	216	10	of	of	ADP
bracis-28348	216	11	data	datum	NOUN
bracis-28348	216	12	.	.	PUNCT
bracis-28348	217	1	even	even	ADV
bracis-28348	217	2	so	so	ADV
bracis-28348	217	3	,	,	PUNCT
bracis-28348	217	4	if	if	SCONJ
bracis-28348	217	5	these	these	DET
bracis-28348	217	6	small	small	ADJ
bracis-28348	217	7	structures	structure	NOUN
bracis-28348	217	8	are	be	AUX
bracis-28348	217	9	indeed	indeed	ADV
bracis-28348	217	10	important	important	ADJ
bracis-28348	217	11	for	for	ADP
bracis-28348	217	12	the	the	DET
bracis-28348	217	13	application	application	NOUN
bracis-28348	217	14	,	,	PUNCT
bracis-28348	217	15	we	we	PRON
bracis-28348	217	16	recommend	recommend	VERB
bracis-28348	217	17	the	the	DET
bracis-28348	217	18	use	use	NOUN
bracis-28348	217	19	of	of	ADP
bracis-28348	217	20	core	core	NOUN
bracis-28348	217	21	-	-	PUNCT
bracis-28348	217	22	sg	sg	NOUN
bracis-28348	217	23	(	(	PUNCT
bracis-28348	217	24	or	or	CCONJ
bracis-28348	217	25	core	core	NOUN
bracis-28348	217	26	-	-	PUNCT
bracis-28348	217	27	ssg	ssg	NOUN
bracis-28348	217	28	)	)	PUNCT
bracis-28348	217	29	over	over	ADP
bracis-28348	217	30	the	the	DET
bracis-28348	217	31	data	datum	NOUN
bracis-28348	217	32	within	within	ADP
bracis-28348	217	33	each	each	DET
bracis-28348	217	34	dbs	dbs	PROPN
bracis-28348	217	35	,	,	PUNCT
bracis-28348	217	36	followed	follow	VERB
bracis-28348	217	37	by	by	ADP
bracis-28348	217	38	the	the	DET
bracis-28348	217	39	combination	combination	NOUN
bracis-28348	217	40	of	of	ADP
bracis-28348	217	41	the	the	DET
bracis-28348	217	42	resulted	resulted	ADJ
bracis-28348	217	43	graphs	graph	NOUN
bracis-28348	217	44	.	.	PUNCT
bracis-28348	218	1	in	in	ADP
bracis-28348	218	2	addition	addition	NOUN
bracis-28348	218	3	to	to	ADP
bracis-28348	218	4	the	the	DET
bracis-28348	218	5	direct	direct	ADJ
bracis-28348	218	6	benefits	benefit	NOUN
bracis-28348	218	7	of	of	ADP
bracis-28348	218	8	our	our	PRON
bracis-28348	218	9	findings	finding	NOUN
bracis-28348	218	10	for	for	ADP
bracis-28348	218	11	the	the	DET
bracis-28348	218	12	machine	machine	NOUN
bracis-28348	218	13	learning	learn	VERB
bracis-28348	218	14	applications	application	NOUN
bracis-28348	218	15	previously	previously	ADV
bracis-28348	218	16	referred	refer	VERB
bracis-28348	218	17	in	in	ADP
bracis-28348	218	18	 	 	SPACE
bracis-28348	218	19	[	[	X
bracis-28348	218	20	10	10	NUM
bracis-28348	218	21	]	]	PUNCT
bracis-28348	218	22	,	,	PUNCT
bracis-28348	218	23	we	we	PRON
bracis-28348	218	24	believe	believe	VERB
bracis-28348	218	25	that	that	SCONJ
bracis-28348	218	26	core	core	NOUN
bracis-28348	218	27	-	-	PUNCT
bracis-28348	218	28	ssg	ssg	PROPN
bracis-28348	218	29	has	have	VERB
bracis-28348	218	30	much	much	ADJ
bracis-28348	218	31	potential	potential	NOUN
bracis-28348	218	32	to	to	PART
bracis-28348	218	33	innovate	innovate	VERB
bracis-28348	218	34	in	in	ADP
bracis-28348	218	35	scenarios	scenario	NOUN
bracis-28348	218	36	with	with	ADP
bracis-28348	218	37	continuous	continuous	ADJ
bracis-28348	218	38	data	datum	NOUN
bracis-28348	218	39	streams	stream	NOUN
bracis-28348	218	40	.	.	PUNCT
bracis-28348	219	1	that	that	PRON
bracis-28348	219	2	is	be	AUX
bracis-28348	219	3	because	because	SCONJ
bracis-28348	219	4	parameters	parameter	NOUN
bracis-28348	219	5	of	of	ADP
bracis-28348	219	6	density	density	NOUN
bracis-28348	219	7	-	-	PUNCT
bracis-28348	219	8	based	base	VERB
bracis-28348	219	9	applications	application	NOUN
bracis-28348	219	10	for	for	ADP
bracis-28348	219	11	data	datum	NOUN
bracis-28348	219	12	streams	stream	NOUN
bracis-28348	219	13	usually	usually	ADV
bracis-28348	219	14	must	must	AUX
bracis-28348	219	15	be	be	AUX
bracis-28348	219	16	set	set	VERB
bracis-28348	219	17	(	(	PUNCT
bracis-28348	219	18	fixed	fix	VERB
bracis-28348	219	19	)	)	PUNCT
bracis-28348	219	20	as	as	ADP
bracis-28348	219	21	an	an	DET
bracis-28348	219	22	algorithm	algorithm	NOUN
bracis-28348	219	23	input	input	NOUN
bracis-28348	219	24	,	,	PUNCT
bracis-28348	219	25	which	which	PRON
bracis-28348	219	26	may	may	AUX
bracis-28348	219	27	be	be	AUX
bracis-28348	219	28	hard	hard	ADJ
bracis-28348	219	29	to	to	PART
bracis-28348	219	30	define	define	VERB
bracis-28348	219	31	and	and	CCONJ
bracis-28348	219	32	require	require	VERB
bracis-28348	219	33	changes	change	NOUN
bracis-28348	219	34	during	during	ADP
bracis-28348	219	35	the	the	DET
bracis-28348	219	36	evolution	evolution	NOUN
bracis-28348	219	37	of	of	ADP
bracis-28348	219	38	the	the	DET
bracis-28348	219	39	data	datum	NOUN
bracis-28348	219	40	(	(	PUNCT
bracis-28348	219	41	concept	concept	NOUN
bracis-28348	219	42	drift	drift	NOUN
bracis-28348	219	43	)	)	PUNCT
bracis-28348	219	44	.	.	PUNCT
bracis-28348	220	1	core	core	NOUN
bracis-28348	220	2	-	-	PUNCT
bracis-28348	220	3	ssg	ssg	PROPN
bracis-28348	220	4	enables	enable	VERB
bracis-28348	220	5	the	the	DET
bracis-28348	220	6	extraction	extraction	NOUN
bracis-28348	220	7	of	of	ADP
bracis-28348	220	8	different	different	ADJ
bracis-28348	220	9	density	density	NOUN
bracis-28348	220	10	-	-	PUNCT
bracis-28348	220	11	based	base	VERB
bracis-28348	220	12	parameters	parameter	NOUN
bracis-28348	220	13	,	,	PUNCT
bracis-28348	220	14	even	even	ADV
bracis-28348	220	15	multiple	multiple	ADJ
bracis-28348	220	16	results	result	NOUN
bracis-28348	220	17	,	,	PUNCT
bracis-28348	220	18	from	from	ADP
bracis-28348	220	19	a	a	DET
bracis-28348	220	20	single	single	ADJ
bracis-28348	220	21	induced	induced	ADJ
bracis-28348	220	22	model	model	NOUN
bracis-28348	220	23	,	,	PUNCT
bracis-28348	220	24	which	which	PRON
bracis-28348	220	25	can	can	AUX
bracis-28348	220	26	be	be	AUX
bracis-28348	220	27	analyzed	analyze	VERB
bracis-28348	220	28	online	online	ADV
bracis-28348	220	29	to	to	PART
bracis-28348	220	30	adapt	adapt	VERB
bracis-28348	220	31	the	the	DET
bracis-28348	220	32	model	model	NOUN
bracis-28348	220	33	for	for	ADP
bracis-28348	220	34	different	different	ADJ
bracis-28348	220	35	density	density	NOUN
bracis-28348	220	36	levels	level	NOUN
bracis-28348	220	37	and	and	CCONJ
bracis-28348	220	38	concept	concept	NOUN
bracis-28348	220	39	drift	drift	NOUN
bracis-28348	220	40	.	.	PUNCT
bracis-28348	221	1	indeed	indeed	ADV
bracis-28348	221	2	,	,	PUNCT
bracis-28348	221	3	this	this	PRON
bracis-28348	221	4	is	be	AUX
bracis-28348	221	5	a	a	DET
bracis-28348	221	6	future	future	ADJ
bracis-28348	221	7	work	work	NOUN
bracis-28348	221	8	worth	worth	ADJ
bracis-28348	221	9	exploring	explore	VERB
bracis-28348	221	10	.	.	PUNCT
bracis-28348	222	1	notes	note	VERB
bracis-28348	222	2	1.implementation	1.implementation	NUM
bracis-28348	222	3	in	in	ADP
bracis-28348	222	4	:	:	PUNCT
bracis-28348	222	5	https://github.com/natanaelbatista99/core-ssg	https://github.com/natanaelbatista99/core-ssg	NUM
bracis-28348	222	6	.	.	PUNCT
bracis-28348	223	1	references	reference	NOUN
bracis-28348	223	2	ankerst	ankerst	ADV
bracis-28348	223	3	,	,	PUNCT
bracis-28348	223	4	m.	m.	NOUN
bracis-28348	223	5	,	,	PUNCT
bracis-28348	223	6	breunig	breunig	NOUN
bracis-28348	223	7	,	,	PUNCT
bracis-28348	223	8	m.m	m.m	PROPN
bracis-28348	223	9	.	.	PROPN
bracis-28348	223	10	,	,	PUNCT
bracis-28348	223	11	kriegel	kriegel	PROPN
bracis-28348	223	12	,	,	PUNCT
bracis-28348	223	13	h.p	h.p	PROPN
bracis-28348	223	14	.	.	PROPN
bracis-28348	223	15	,	,	PUNCT
bracis-28348	223	16	sander	sander	PROPN
bracis-28348	223	17	,	,	PUNCT
bracis-28348	223	18	j.	j.	PROPN
bracis-28348	223	19	:	:	PUNCT
bracis-28348	223	20	optics	optic	NOUN
bracis-28348	223	21	:	:	PUNCT
bracis-28348	223	22	ordering	order	VERB
bracis-28348	223	23	points	point	NOUN
bracis-28348	223	24	to	to	PART
bracis-28348	223	25	identify	identify	VERB
bracis-28348	223	26	the	the	DET
bracis-28348	223	27	clustering	clustering	ADJ
bracis-28348	223	28	structure	structure	NOUN
bracis-28348	223	29	.	.	PUNCT
bracis-28348	224	1	sigmod	sigmod	PROPN
bracis-28348	224	2	rec	rec	PROPN
bracis-28348	224	3	.	.	PROPN
bracis-28348	224	4	28(2	28(2	NUM
bracis-28348	224	5	)	)	PUNCT
bracis-28348	224	6	,	,	PUNCT
bracis-28348	224	7	49–60	49–60	NUM
bracis-28348	224	8	(	(	PUNCT
bracis-28348	224	9	1999	1999	NUM
bracis-28348	224	10	)	)	PUNCT
bracis-28348	224	11	article	article	NOUN
bracis-28348	224	12	  	  	SPACE
bracis-28348	224	13	google	google	PROPN
bracis-28348	224	14	scholar	scholar	NOUN
bracis-28348	224	15	  	  	SPACE
bracis-28348	224	16	barlow	barlow	NOUN
bracis-28348	224	17	,	,	PUNCT
bracis-28348	224	18	h.	h.	PROPN
bracis-28348	224	19	:	:	PUNCT
bracis-28348	224	20	unsupervised	unsupervised	ADJ
bracis-28348	224	21	learning	learning	NOUN
bracis-28348	224	22	.	.	PUNCT
bracis-28348	225	1	neural	neural	ADJ
bracis-28348	225	2	comput	comput	NOUN
bracis-28348	225	3	.	.	PUNCT
bracis-28348	226	1	1(3	1(3	NUM
bracis-28348	226	2	)	)	PUNCT
bracis-28348	226	3	,	,	PUNCT
bracis-28348	226	4	295–311	295–311	NUM
bracis-28348	226	5	(	(	PUNCT
bracis-28348	226	6	1989	1989	NUM
bracis-28348	226	7	)	)	PUNCT
bracis-28348	226	8	article	article	NOUN
bracis-28348	226	9	  	  	SPACE
bracis-28348	226	10	google	google	PROPN
bracis-28348	226	11	scholar	scholar	NOUN
bracis-28348	226	12	  	  	SPACE
bracis-28348	226	13	blazquez	blazquez	NOUN
bracis-28348	226	14	,	,	PUNCT
bracis-28348	226	15	d.	d.	PROPN
bracis-28348	226	16	,	,	PUNCT
bracis-28348	226	17	domenech	domenech	PROPN
bracis-28348	226	18	,	,	PUNCT
bracis-28348	226	19	j.	j.	PROPN
bracis-28348	226	20	:	:	PUNCT
bracis-28348	226	21	big	big	ADJ
bracis-28348	226	22	data	datum	NOUN
bracis-28348	226	23	sources	source	NOUN
bracis-28348	226	24	and	and	CCONJ
bracis-28348	226	25	methods	method	NOUN
bracis-28348	226	26	for	for	ADP
bracis-28348	226	27	social	social	ADJ
bracis-28348	226	28	and	and	CCONJ
bracis-28348	226	29	economic	economic	ADJ
bracis-28348	226	30	analyses	analysis	NOUN
bracis-28348	226	31	.	.	PUNCT
bracis-28348	227	1	technol	technol	PROPN
bracis-28348	227	2	.	.	PUNCT
bracis-28348	227	3	forecast	forecast	PROPN
bracis-28348	227	4	.	.	PUNCT
bracis-28348	228	1	soc	soc	PROPN
bracis-28348	228	2	.	.	PUNCT
bracis-28348	229	1	chang	chang	PROPN
bracis-28348	229	2	.	.	PROPN
bracis-28348	229	3	130	130	NUM
bracis-28348	229	4	,	,	PUNCT
bracis-28348	229	5	99–113	99–113	PROPN
bracis-28348	229	6	(	(	PUNCT
bracis-28348	229	7	2018	2018	NUM
bracis-28348	229	8	)	)	PUNCT
bracis-28348	229	9	article	article	NOUN
bracis-28348	229	10	  	  	SPACE
bracis-28348	229	11	google	google	PROPN
bracis-28348	229	12	scholar	scholar	NOUN
bracis-28348	229	13	  	  	SPACE
bracis-28348	229	14	breunig	breunig	PROPN
bracis-28348	229	15	,	,	PUNCT
bracis-28348	229	16	m.m	m.m	PROPN
bracis-28348	229	17	.	.	PROPN
bracis-28348	229	18	,	,	PUNCT
bracis-28348	229	19	kriegel	kriegel	PROPN
bracis-28348	229	20	,	,	PUNCT
bracis-28348	229	21	h.p	h.p	PROPN
bracis-28348	229	22	.	.	PROPN
bracis-28348	229	23	,	,	PUNCT
bracis-28348	229	24	kröger	kröger	PROPN
bracis-28348	229	25	,	,	PUNCT
bracis-28348	229	26	p.	p.	NOUN
bracis-28348	229	27	,	,	PUNCT
bracis-28348	229	28	sander	sander	PROPN
bracis-28348	229	29	,	,	PUNCT
bracis-28348	229	30	j.	j.	PROPN
bracis-28348	229	31	:	:	PUNCT
bracis-28348	229	32	data	datum	NOUN
bracis-28348	229	33	bubbles	bubble	NOUN
bracis-28348	229	34	:	:	PUNCT
bracis-28348	229	35	quality	quality	NOUN
bracis-28348	229	36	preserving	preserve	VERB
bracis-28348	229	37	performance	performance	NOUN
bracis-28348	229	38	boosting	boost	VERB
bracis-28348	229	39	for	for	ADP
bracis-28348	229	40	hierarchical	hierarchical	ADJ
bracis-28348	229	41	clustering	clustering	NOUN
bracis-28348	229	42	.	.	PUNCT
bracis-28348	230	1	in	in	ADP
bracis-28348	230	2	:	:	PUNCT
bracis-28348	230	3	proceedings	proceeding	NOUN
bracis-28348	230	4	of	of	ADP
bracis-28348	230	5	the	the	DET
bracis-28348	230	6	2001	2001	NUM
bracis-28348	230	7	acm	acm	PROPN
bracis-28348	230	8	sigmod	sigmod	PROPN
bracis-28348	230	9	international	international	ADJ
bracis-28348	230	10	conference	conference	NOUN
bracis-28348	230	11	on	on	ADP
bracis-28348	230	12	management	management	NOUN
bracis-28348	230	13	of	of	ADP
bracis-28348	230	14	data	datum	NOUN
bracis-28348	230	15	,	,	PUNCT
bracis-28348	230	16	pp	pp	ADV
bracis-28348	230	17	.	.	PUNCT
bracis-28348	231	1	79–90	79–90	NUM
bracis-28348	231	2	(	(	PUNCT
bracis-28348	231	3	2001	2001	NUM
bracis-28348	231	4	)	)	PUNCT
bracis-28348	231	5	google	google	PROPN
bracis-28348	231	6	scholar	scholar	NOUN
bracis-28348	231	7	  	  	SPACE
bracis-28348	231	8	breunig	breunig	PROPN
bracis-28348	231	9	,	,	PUNCT
bracis-28348	231	10	m.m	m.m	PROPN
bracis-28348	231	11	.	.	PROPN
bracis-28348	231	12	,	,	PUNCT
bracis-28348	231	13	kriegel	kriegel	PROPN
bracis-28348	231	14	,	,	PUNCT
bracis-28348	231	15	h.-p	h.-p	PROPN
bracis-28348	231	16	.	.	PROPN
bracis-28348	231	17	,	,	PUNCT
bracis-28348	231	18	sander	sander	PROPN
bracis-28348	231	19	,	,	PUNCT
bracis-28348	231	20	j.	j.	PROPN
bracis-28348	231	21	:	:	PUNCT
bracis-28348	231	22	fast	fast	ADJ
bracis-28348	231	23	hierarchical	hierarchical	ADJ
bracis-28348	231	24	clustering	clustering	NOUN
bracis-28348	231	25	based	base	VERB
bracis-28348	231	26	on	on	ADP
bracis-28348	231	27	compressed	compressed	ADJ
bracis-28348	231	28	data	datum	NOUN
bracis-28348	231	29	and	and	CCONJ
bracis-28348	231	30	optics	optic	NOUN
bracis-28348	231	31	.	.	PUNCT
bracis-28348	232	1	in	in	ADP
bracis-28348	232	2	:	:	PUNCT
bracis-28348	232	3	zighed	zighe	VERB
bracis-28348	232	4	,	,	PUNCT
bracis-28348	232	5	d.a	d.a	PROPN
bracis-28348	232	6	.	.	PROPN
bracis-28348	232	7	,	,	PUNCT
bracis-28348	232	8	komorowski	komorowski	PROPN
bracis-28348	232	9	,	,	PUNCT
bracis-28348	232	10	j.	j.	PROPN
bracis-28348	232	11	,	,	PUNCT
bracis-28348	232	12	żytkow	żytkow	PROPN
bracis-28348	232	13	,	,	PUNCT
bracis-28348	232	14	j.	j.	PROPN
bracis-28348	232	15	(	(	PUNCT
bracis-28348	232	16	eds	eds	PROPN
bracis-28348	232	17	.	.	PUNCT
bracis-28348	232	18	)	)	PUNCT
bracis-28348	232	19	pkdd	pkdd	VERB
bracis-28348	232	20	2000	2000	NUM
bracis-28348	232	21	.	.	PUNCT
bracis-28348	233	1	lncs	lncs	PROPN
bracis-28348	233	2	(	(	PUNCT
bracis-28348	233	3	lnai	lnai	ADJ
bracis-28348	233	4	)	)	PUNCT
bracis-28348	233	5	,	,	PUNCT
bracis-28348	233	6	vol	vol	NOUN
bracis-28348	233	7	.	.	NOUN
bracis-28348	233	8	1910	1910	NUM
bracis-28348	233	9	,	,	PUNCT
bracis-28348	233	10	pp	pp	ADV
bracis-28348	233	11	.	.	PUNCT
bracis-28348	234	1	232–242	232–242	NUM
bracis-28348	234	2	.	.	X
bracis-28348	234	3	springer	springer	NOUN
bracis-28348	234	4	,	,	PUNCT
bracis-28348	234	5	heidelberg	heidelberg	PROPN
bracis-28348	234	6	(	(	PUNCT
bracis-28348	234	7	2000	2000	NUM
bracis-28348	234	8	)	)	PUNCT
bracis-28348	234	9	.	.	PUNCT
bracis-28348	235	1	https://doi.org/10.1007/3-540-45372-5_23	https://doi.org/10.1007/3-540-45372-5_23	NOUN
bracis-28348	235	2	chapter	chapter	NOUN
bracis-28348	235	3	  	  	SPACE
bracis-28348	235	4	google	google	PROPN
bracis-28348	235	5	scholar	scholar	NOUN
bracis-28348	235	6	  	  	SPACE
bracis-28348	235	7	campello	campello	PROPN
bracis-28348	235	8	,	,	PUNCT
bracis-28348	235	9	r.j.g.b	r.j.g.b	PROPN
bracis-28348	235	10	.	.	PROPN
bracis-28348	235	11	,	,	PUNCT
bracis-28348	235	12	moulavi	moulavi	PROPN
bracis-28348	235	13	,	,	PUNCT
bracis-28348	235	14	d.	d.	PROPN
bracis-28348	235	15	,	,	PUNCT
bracis-28348	235	16	zimek	zimek	PROPN
bracis-28348	235	17	,	,	PUNCT
bracis-28348	235	18	a.	a.	NOUN
bracis-28348	235	19	,	,	PUNCT
bracis-28348	235	20	sander	sander	NOUN
bracis-28348	235	21	,	,	PUNCT
bracis-28348	235	22	j.	j.	PROPN
bracis-28348	235	23	:	:	PUNCT
bracis-28348	235	24	hierarchical	hierarchical	ADJ
bracis-28348	235	25	density	density	NOUN
bracis-28348	235	26	estimates	estimate	NOUN
bracis-28348	235	27	for	for	ADP
bracis-28348	235	28	data	datum	NOUN
bracis-28348	235	29	clustering	clustering	NOUN
bracis-28348	235	30	,	,	PUNCT
bracis-28348	235	31	visualization	visualization	NOUN
bracis-28348	235	32	,	,	PUNCT
bracis-28348	235	33	and	and	CCONJ
bracis-28348	235	34	outlier	outlier	NOUN
bracis-28348	235	35	detection	detection	NOUN
bracis-28348	235	36	.	.	PUNCT
bracis-28348	236	1	acm	acm	PROPN
bracis-28348	236	2	trans	trans	PROPN
bracis-28348	236	3	.	.	PROPN
bracis-28348	237	1	knowl	knowl	PROPN
bracis-28348	237	2	.	.	PUNCT
bracis-28348	238	1	discov	discov	NOUN
bracis-28348	238	2	.	.	PUNCT
bracis-28348	239	1	data	datum	NOUN
bracis-28348	239	2	10(1	10(1	NUM
bracis-28348	239	3	)	)	PUNCT
bracis-28348	239	4	,	,	PUNCT
bracis-28348	239	5	1–51	1–51	PROPN
bracis-28348	239	6	(	(	PUNCT
bracis-28348	239	7	2015	2015	NUM
bracis-28348	239	8	)	)	PUNCT
bracis-28348	239	9	article	article	NOUN
bracis-28348	239	10	  	  	SPACE
bracis-28348	239	11	google	google	PROPN
bracis-28348	239	12	scholar	scholar	NOUN
bracis-28348	239	13	  	  	SPACE
bracis-28348	239	14	campello	campello	PROPN
bracis-28348	239	15	,	,	PUNCT
bracis-28348	239	16	r.j	r.j	PROPN
bracis-28348	239	17	.	.	PROPN
bracis-28348	239	18	,	,	PUNCT
bracis-28348	239	19	moulavi	moulavi	PROPN
bracis-28348	239	20	,	,	PUNCT
bracis-28348	239	21	d.	d.	PROPN
bracis-28348	239	22	,	,	PUNCT
bracis-28348	239	23	zimek	zimek	PROPN
bracis-28348	239	24	,	,	PUNCT
bracis-28348	239	25	a.	a.	NOUN
bracis-28348	239	26	,	,	PUNCT
bracis-28348	239	27	sander	sander	NOUN
bracis-28348	239	28	,	,	PUNCT
bracis-28348	239	29	j.	j.	PROPN
bracis-28348	239	30	:	:	PUNCT
bracis-28348	239	31	a	a	DET
bracis-28348	239	32	framework	framework	NOUN
bracis-28348	239	33	for	for	ADP
bracis-28348	239	34	semi	semi	ADJ
bracis-28348	239	35	-	-	ADJ
bracis-28348	239	36	supervised	supervised	ADJ
bracis-28348	239	37	and	and	CCONJ
bracis-28348	239	38	unsupervised	unsupervised	ADJ
bracis-28348	239	39	optimal	optimal	ADJ
bracis-28348	239	40	extraction	extraction	NOUN
bracis-28348	239	41	of	of	ADP
bracis-28348	239	42	clusters	cluster	NOUN
bracis-28348	239	43	from	from	ADP
bracis-28348	239	44	hierarchies	hierarchy	NOUN
bracis-28348	239	45	.	.	PUNCT
bracis-28348	240	1	data	data	PROPN
bracis-28348	240	2	min	min	PROPN
bracis-28348	240	3	.	.	PROPN
bracis-28348	240	4	knowl	knowl	PROPN
bracis-28348	240	5	.	.	PUNCT
bracis-28348	241	1	disc	disc	NOUN
bracis-28348	241	2	.	.	PUNCT
bracis-28348	242	1	27	27	NUM
bracis-28348	242	2	,	,	PUNCT
bracis-28348	242	3	344–371	344–371	NUM
bracis-28348	242	4	(	(	PUNCT
bracis-28348	242	5	2013	2013	NUM
bracis-28348	242	6	)	)	PUNCT
bracis-28348	242	7	article	article	NOUN
bracis-28348	242	8	  	  	SPACE
bracis-28348	242	9	mathscinet	mathscinet	NOUN
bracis-28348	242	10	  	  	SPACE
bracis-28348	242	11	math	math	NOUN
bracis-28348	242	12	  	  	SPACE
bracis-28348	242	13	google	google	PROPN
bracis-28348	242	14	scholar	scholar	NOUN
bracis-28348	242	15	  	  	SPACE
bracis-28348	242	16	cheema	cheema	PROPN
bracis-28348	242	17	,	,	PUNCT
bracis-28348	242	18	p.	p.	NOUN
bracis-28348	242	19	,	,	PUNCT
bracis-28348	242	20	alamdari	alamdari	PROPN
bracis-28348	242	21	,	,	PUNCT
bracis-28348	242	22	m.m	m.m	PROPN
bracis-28348	242	23	.	.	PROPN
bracis-28348	242	24	,	,	PUNCT
bracis-28348	242	25	chang	chang	PROPN
bracis-28348	242	26	,	,	PUNCT
bracis-28348	242	27	k.	k.	PROPN
bracis-28348	242	28	,	,	PUNCT
bracis-28348	242	29	kim	kim	PROPN
bracis-28348	242	30	,	,	PUNCT
bracis-28348	242	31	c.	c.	PROPN
bracis-28348	242	32	,	,	PUNCT
bracis-28348	242	33	sugiyama	sugiyama	NOUN
bracis-28348	242	34	,	,	PUNCT
bracis-28348	242	35	m.	m.	NOUN
bracis-28348	242	36	:	:	PUNCT
bracis-28348	242	37	a	a	DET
bracis-28348	242	38	drive	drive	VERB
bracis-28348	242	39	-	-	PUNCT
bracis-28348	242	40	by	by	ADP
bracis-28348	242	41	bridge	bridge	NOUN
bracis-28348	242	42	inspection	inspection	NOUN
bracis-28348	242	43	framework	framework	NOUN
bracis-28348	242	44	using	use	VERB
bracis-28348	242	45	non	non	ADJ
bracis-28348	242	46	-	-	ADJ
bracis-28348	242	47	parametric	parametric	ADJ
bracis-28348	242	48	clusters	cluster	NOUN
bracis-28348	242	49	over	over	ADP
bracis-28348	242	50	projected	project	VERB
bracis-28348	242	51	data	datum	NOUN
bracis-28348	242	52	manifolds	manifold	NOUN
bracis-28348	242	53	.	.	PUNCT
bracis-28348	243	1	mech	mech	PROPN
bracis-28348	243	2	.	.	PUNCT
bracis-28348	244	1	syst	syst	PROPN
bracis-28348	244	2	.	.	PUNCT
bracis-28348	244	3	signal	signal	PROPN
bracis-28348	244	4	process	process	NOUN
bracis-28348	244	5	.	.	PUNCT
bracis-28348	245	1	180	180	NUM
bracis-28348	245	2	,	,	PUNCT
bracis-28348	245	3	109401	109401	NUM
bracis-28348	245	4	(	(	PUNCT
bracis-28348	245	5	2022	2022	NUM
bracis-28348	245	6	)	)	PUNCT
bracis-28348	245	7	article	article	NOUN
bracis-28348	245	8	  	  	SPACE
bracis-28348	245	9	google	google	PROPN
bracis-28348	245	10	scholar	scholar	NOUN
bracis-28348	245	11	  	  	SPACE
bracis-28348	245	12	djonlagic	djonlagic	NOUN
bracis-28348	245	13	,	,	PUNCT
bracis-28348	245	14	i.	i.	PROPN
bracis-28348	245	15	,	,	PUNCT
bracis-28348	245	16	et	et	PROPN
bracis-28348	245	17	al	al	PROPN
bracis-28348	245	18	.	.	PUNCT
bracis-28348	245	19	:	:	PUNCT
bracis-28348	246	1	macro	macro	ADJ
bracis-28348	246	2	and	and	CCONJ
bracis-28348	246	3	micro	micro	ADJ
bracis-28348	246	4	sleep	sleep	NOUN
bracis-28348	246	5	architecture	architecture	NOUN
bracis-28348	246	6	and	and	CCONJ
bracis-28348	246	7	cognitive	cognitive	ADJ
bracis-28348	246	8	performance	performance	NOUN
bracis-28348	246	9	in	in	ADP
bracis-28348	246	10	older	old	ADJ
bracis-28348	246	11	adults	adult	NOUN
bracis-28348	246	12	.	.	PUNCT
bracis-28348	247	1	nat	nat	PROPN
bracis-28348	247	2	.	.	PUNCT
bracis-28348	248	1	hum	hum	PROPN
bracis-28348	248	2	.	.	PUNCT
bracis-28348	249	1	behav	behav	PROPN
bracis-28348	249	2	.	.	PUNCT
bracis-28348	250	1	5(1	5(1	NUM
bracis-28348	250	2	)	)	PUNCT
bracis-28348	250	3	,	,	PUNCT
bracis-28348	250	4	123–145	123–145	NUM
bracis-28348	250	5	(	(	PUNCT
bracis-28348	250	6	2021	2021	NUM
bracis-28348	250	7	)	)	PUNCT
bracis-28348	250	8	article	article	NOUN
bracis-28348	250	9	  	  	SPACE
bracis-28348	250	10	google	google	PROPN
bracis-28348	250	11	scholar	scholar	NOUN
bracis-28348	250	12	  	  	SPACE
bracis-28348	250	13	gertrudes	gertrude	NOUN
bracis-28348	250	14	,	,	PUNCT
bracis-28348	250	15	j.c	j.c	PROPN
bracis-28348	250	16	.	.	PROPN
bracis-28348	250	17	,	,	PUNCT
bracis-28348	250	18	zimek	zimek	PROPN
bracis-28348	250	19	,	,	PUNCT
bracis-28348	250	20	a.	a.	NOUN
bracis-28348	250	21	,	,	PUNCT
bracis-28348	250	22	sander	sander	NOUN
bracis-28348	250	23	,	,	PUNCT
bracis-28348	250	24	j.	j.	PROPN
bracis-28348	250	25	,	,	PUNCT
bracis-28348	250	26	campello	campello	PROPN
bracis-28348	250	27	,	,	PUNCT
bracis-28348	250	28	r.j.g.b	r.j.g.b	PROPN
bracis-28348	250	29	.	.	PROPN
bracis-28348	250	30	:	:	PUNCT
bracis-28348	251	1	a	a	DET
bracis-28348	251	2	unified	unified	ADJ
bracis-28348	251	3	view	view	NOUN
bracis-28348	251	4	of	of	ADP
bracis-28348	251	5	density	density	NOUN
bracis-28348	251	6	-	-	PUNCT
bracis-28348	251	7	based	base	VERB
bracis-28348	251	8	methods	method	NOUN
bracis-28348	251	9	for	for	ADP
bracis-28348	251	10	semi	semi	ADJ
bracis-28348	251	11	-	-	ADJ
bracis-28348	251	12	supervised	supervised	ADJ
bracis-28348	251	13	clustering	clustering	NOUN
bracis-28348	251	14	and	and	CCONJ
bracis-28348	251	15	classification	classification	NOUN
bracis-28348	251	16	.	.	PUNCT
bracis-28348	252	1	data	data	PROPN
bracis-28348	252	2	min	min	PROPN
bracis-28348	252	3	.	.	PROPN
bracis-28348	252	4	knowl	knowl	PROPN
bracis-28348	252	5	.	.	PUNCT
bracis-28348	253	1	discov	discov	NOUN
bracis-28348	253	2	.	.	PUNCT
bracis-28348	254	1	33(6	33(6	NUM
bracis-28348	254	2	)	)	PUNCT
bracis-28348	254	3	,	,	PUNCT
bracis-28348	254	4	1894–1952	1894–1952	NUM
bracis-28348	254	5	(	(	PUNCT
bracis-28348	254	6	2019	2019	NUM
bracis-28348	254	7	)	)	PUNCT
bracis-28348	254	8	article	article	NOUN
bracis-28348	254	9	  	  	SPACE
bracis-28348	254	10	mathscinet	mathscinet	NOUN
bracis-28348	254	11	  	  	SPACE
bracis-28348	254	12	math	math	NOUN
bracis-28348	254	13	  	  	SPACE
bracis-28348	254	14	google	google	PROPN
bracis-28348	254	15	scholar	scholar	NOUN
bracis-28348	254	16	  	  	SPACE
bracis-28348	254	17	hubert	hubert	PROPN
bracis-28348	254	18	,	,	PUNCT
bracis-28348	254	19	l.	l.	PROPN
bracis-28348	254	20	,	,	PUNCT
bracis-28348	254	21	arabie	arabie	PROPN
bracis-28348	254	22	,	,	PUNCT
bracis-28348	254	23	p.	p.	NOUN
bracis-28348	254	24	:	:	PUNCT
bracis-28348	254	25	comparing	compare	VERB
bracis-28348	254	26	partitions	partition	NOUN
bracis-28348	254	27	.	.	PUNCT
bracis-28348	255	1	j.	j.	PROPN
bracis-28348	255	2	classif	classif	PROPN
bracis-28348	255	3	.	.	PROPN
bracis-28348	256	1	2	2	NUM
bracis-28348	256	2	,	,	PUNCT
bracis-28348	256	3	193–218	193–218	NUM
bracis-28348	256	4	(	(	PUNCT
bracis-28348	256	5	1985	1985	NUM
bracis-28348	256	6	)	)	PUNCT
bracis-28348	256	7	article	article	NOUN
bracis-28348	256	8	  	  	SPACE
bracis-28348	256	9	math	math	NOUN
bracis-28348	256	10	  	  	SPACE
bracis-28348	256	11	google	google	PROPN
bracis-28348	256	12	scholar	scholar	NOUN
bracis-28348	256	13	  	  	SPACE
bracis-28348	256	14	johnson	johnson	PROPN
bracis-28348	256	15	,	,	PUNCT
bracis-28348	256	16	d.	d.	PROPN
bracis-28348	256	17	,	,	PUNCT
bracis-28348	256	18	xiong	xiong	PROPN
bracis-28348	256	19	,	,	PUNCT
bracis-28348	256	20	c.	c.	PROPN
bracis-28348	256	21	,	,	PUNCT
bracis-28348	256	22	gao	gao	PROPN
bracis-28348	256	23	,	,	PUNCT
bracis-28348	256	24	j.	j.	PROPN
bracis-28348	256	25	,	,	PUNCT
bracis-28348	256	26	corso	corso	PROPN
bracis-28348	256	27	,	,	PUNCT
bracis-28348	256	28	j.	j.	PROPN
bracis-28348	256	29	:	:	PROPN
bracis-28348	256	30	comprehensive	comprehensive	ADJ
bracis-28348	256	31	cross	cross	ADJ
bracis-28348	256	32	-	-	ADJ
bracis-28348	256	33	hierarchy	hierarchy	ADJ
bracis-28348	256	34	cluster	cluster	NOUN
bracis-28348	256	35	agreement	agreement	NOUN
bracis-28348	256	36	evaluation	evaluation	NOUN
bracis-28348	256	37	.	.	PUNCT
bracis-28348	257	1	acm	acm	PROPN
bracis-28348	257	2	tkdd	tkdd	NOUN
bracis-28348	257	3	.	.	PROPN
bracis-28348	258	1	10	10	NUM
bracis-28348	258	2	,	,	PUNCT
bracis-28348	258	3	1–51	1–51	NUM
bracis-28348	258	4	(	(	PUNCT
bracis-28348	258	5	2013	2013	NUM
bracis-28348	258	6	)	)	PUNCT
bracis-28348	258	7	google	google	PROPN
bracis-28348	258	8	scholar	scholar	NOUN
bracis-28348	258	9	  	  	SPACE
bracis-28348	258	10	liu	liu	PROPN
bracis-28348	258	11	,	,	PUNCT
bracis-28348	258	12	b.	b.	PROPN
bracis-28348	258	13	,	,	PUNCT
bracis-28348	258	14	shi	shi	PROPN
bracis-28348	258	15	,	,	PUNCT
bracis-28348	258	16	y.	y.	PROPN
bracis-28348	258	17	,	,	PUNCT
bracis-28348	258	18	wang	wang	PROPN
bracis-28348	258	19	,	,	PUNCT
bracis-28348	258	20	z.	z.	PROPN
bracis-28348	258	21	,	,	PUNCT
bracis-28348	258	22	wang	wang	PROPN
bracis-28348	258	23	,	,	PUNCT
bracis-28348	258	24	w.	w.	PROPN
bracis-28348	258	25	,	,	PUNCT
bracis-28348	258	26	shi	shi	PROPN
bracis-28348	258	27	,	,	PUNCT
bracis-28348	258	28	b.	b.	PROPN
bracis-28348	258	29	:	:	PUNCT
bracis-28348	259	1	dynamic	dynamic	ADJ
bracis-28348	259	2	incremental	incremental	ADJ
bracis-28348	259	3	data	datum	NOUN
bracis-28348	259	4	summarization	summarization	NOUN
bracis-28348	259	5	for	for	ADP
bracis-28348	259	6	hierarchical	hierarchical	ADJ
bracis-28348	259	7	clustering	clustering	NOUN
bracis-28348	259	8	.	.	PUNCT
bracis-28348	260	1	in	in	ADP
bracis-28348	260	2	:	:	PUNCT
bracis-28348	260	3	yu	yu	PROPN
bracis-28348	260	4	,	,	PUNCT
bracis-28348	260	5	j.x	j.x	PROPN
bracis-28348	260	6	.	.	PROPN
bracis-28348	260	7	,	,	PUNCT
bracis-28348	260	8	kitsuregawa	kitsuregawa	PROPN
bracis-28348	260	9	,	,	PUNCT
bracis-28348	260	10	m.	m.	NOUN
bracis-28348	260	11	,	,	PUNCT
bracis-28348	260	12	leong	leong	PROPN
bracis-28348	260	13	,	,	PUNCT
bracis-28348	260	14	h.v	h.v	PROPN
bracis-28348	260	15	.	.	PROPN
bracis-28348	260	16	(	(	PUNCT
bracis-28348	260	17	eds	ed	NOUN
bracis-28348	260	18	.	.	PUNCT
bracis-28348	260	19	)	)	PUNCT
bracis-28348	260	20	waim	waim	VERB
bracis-28348	260	21	2006	2006	NUM
bracis-28348	260	22	.	.	PUNCT
bracis-28348	261	1	lncs	lncs	PROPN
bracis-28348	261	2	,	,	PUNCT
bracis-28348	261	3	vol	vol	NOUN
bracis-28348	261	4	.	.	PROPN
bracis-28348	261	5	4016	4016	NUM
bracis-28348	261	6	,	,	PUNCT
bracis-28348	261	7	pp	pp	ADJ
bracis-28348	261	8	.	.	PUNCT
bracis-28348	262	1	410–421	410–421	NUM
bracis-28348	262	2	.	.	PUNCT
bracis-28348	262	3	springer	springer	NOUN
bracis-28348	262	4	,	,	PUNCT
bracis-28348	262	5	heidelberg	heidelberg	PROPN
bracis-28348	262	6	(	(	PUNCT
bracis-28348	262	7	2006	2006	NUM
bracis-28348	262	8	)	)	PUNCT
bracis-28348	262	9	.	.	PUNCT
bracis-28348	263	1	https://doi.org/10.1007/11775300_35	https://doi.org/10.1007/11775300_35	PROPN
bracis-28348	263	2	chapter	chapter	NOUN
bracis-28348	263	3	  	  	SPACE
bracis-28348	263	4	google	google	PROPN
bracis-28348	263	5	scholar	scholar	NOUN
bracis-28348	263	6	  	  	SPACE
bracis-28348	263	7	miccio	miccio	NOUN
bracis-28348	263	8	,	,	PUNCT
bracis-28348	263	9	l.a	l.a	PROPN
bracis-28348	263	10	.	.	PROPN
bracis-28348	263	11	,	,	PUNCT
bracis-28348	263	12	schwartz	schwartz	PROPN
bracis-28348	263	13	,	,	PUNCT
bracis-28348	263	14	g.a	g.a	PROPN
bracis-28348	263	15	.	.	PUNCT
bracis-28348	263	16	:	:	PUNCT
bracis-28348	264	1	mapping	map	VERB
bracis-28348	264	2	chemical	chemical	NOUN
bracis-28348	264	3	structure	structure	NOUN
bracis-28348	264	4	-	-	PUNCT
bracis-28348	264	5	glass	glass	NOUN
bracis-28348	264	6	transition	transition	NOUN
bracis-28348	264	7	temperature	temperature	NOUN
bracis-28348	264	8	relationship	relationship	NOUN
bracis-28348	264	9	through	through	ADP
bracis-28348	264	10	artificial	artificial	ADJ
bracis-28348	264	11	intelligence	intelligence	NOUN
bracis-28348	264	12	.	.	PUNCT
bracis-28348	265	1	macromolecules	macromolecule	NOUN
bracis-28348	265	2	54(4	54(4	NOUN
bracis-28348	265	3	)	)	PUNCT
bracis-28348	265	4	,	,	PUNCT
bracis-28348	265	5	1811–1817	1811–1817	NUM
bracis-28348	265	6	(	(	PUNCT
bracis-28348	265	7	2021	2021	NUM
bracis-28348	265	8	)	)	PUNCT
bracis-28348	265	9	article	article	NOUN
bracis-28348	265	10	  	  	SPACE
bracis-28348	265	11	google	google	PROPN
bracis-28348	265	12	scholar	scholar	NOUN
bracis-28348	265	13	  	  	SPACE
bracis-28348	265	14	minussi	minussi	PROPN
bracis-28348	265	15	,	,	PUNCT
bracis-28348	265	16	d.c	d.c	PROPN
bracis-28348	265	17	.	.	PROPN
bracis-28348	265	18	,	,	PUNCT
bracis-28348	265	19	et	et	PROPN
bracis-28348	265	20	al	al	PROPN
bracis-28348	265	21	.	.	PUNCT
bracis-28348	265	22	:	:	PUNCT
bracis-28348	266	1	breast	breast	NOUN
bracis-28348	266	2	tumours	tumour	NOUN
bracis-28348	266	3	maintain	maintain	VERB
bracis-28348	266	4	a	a	DET
bracis-28348	266	5	reservoir	reservoir	NOUN
bracis-28348	266	6	of	of	ADP
bracis-28348	266	7	subclonal	subclonal	ADJ
bracis-28348	266	8	diversity	diversity	NOUN
bracis-28348	266	9	during	during	ADP
bracis-28348	266	10	expansion	expansion	NOUN
bracis-28348	266	11	.	.	PUNCT
bracis-28348	267	1	nature	nature	NOUN
bracis-28348	267	2	592(7853	592(7853	NOUN
bracis-28348	267	3	)	)	PUNCT
bracis-28348	267	4	,	,	PUNCT
bracis-28348	268	1	302–308	302–308	NUM
bracis-28348	268	2	(	(	PUNCT
bracis-28348	268	3	2021	2021	NUM
bracis-28348	268	4	)	)	PUNCT
bracis-28348	268	5	article	article	NOUN
bracis-28348	268	6	  	  	SPACE
bracis-28348	268	7	google	google	PROPN
bracis-28348	268	8	scholar	scholar	NOUN
bracis-28348	268	9	  	  	SPACE
bracis-28348	268	10	murray	murray	PROPN
bracis-28348	268	11	,	,	PUNCT
bracis-28348	268	12	b.	b.	PROPN
bracis-28348	268	13	,	,	PUNCT
bracis-28348	268	14	perera	perera	PROPN
bracis-28348	268	15	,	,	PUNCT
bracis-28348	268	16	l.p	l.p	PROPN
bracis-28348	268	17	.	.	PROPN
bracis-28348	268	18	:	:	PUNCT
bracis-28348	268	19	an	an	DET
bracis-28348	268	20	ais	ais	NOUN
bracis-28348	268	21	-	-	PUNCT
bracis-28348	268	22	based	base	VERB
bracis-28348	268	23	deep	deep	ADJ
bracis-28348	268	24	learning	learning	NOUN
bracis-28348	268	25	framework	framework	NOUN
bracis-28348	268	26	for	for	ADP
bracis-28348	268	27	regional	regional	ADJ
bracis-28348	268	28	ship	ship	NOUN
bracis-28348	268	29	behavior	behavior	NOUN
bracis-28348	268	30	prediction	prediction	NOUN
bracis-28348	268	31	.	.	PUNCT
bracis-28348	269	1	reliab	reliab	PROPN
bracis-28348	269	2	.	.	PUNCT
bracis-28348	270	1	eng	eng	PROPN
bracis-28348	270	2	.	.	PUNCT
bracis-28348	270	3	syst	syst	PROPN
bracis-28348	270	4	.	.	PUNCT
bracis-28348	271	1	saf	saf	PROPN
bracis-28348	271	2	.	.	PROPN
bracis-28348	271	3	215	215	NUM
bracis-28348	271	4	,	,	PUNCT
bracis-28348	271	5	107819	107819	NUM
bracis-28348	271	6	(	(	PUNCT
bracis-28348	271	7	2021	2021	NUM
bracis-28348	271	8	)	)	PUNCT
bracis-28348	271	9	article	article	NOUN
bracis-28348	271	10	  	  	SPACE
bracis-28348	271	11	google	google	PROPN
bracis-28348	271	12	scholar	scholar	NOUN
bracis-28348	271	13	  	  	SPACE
bracis-28348	271	14	nassar	nassar	PROPN
bracis-28348	271	15	,	,	PUNCT
bracis-28348	271	16	s.	s.	PROPN
bracis-28348	271	17	,	,	PUNCT
bracis-28348	271	18	sander	sander	PROPN
bracis-28348	271	19	,	,	PUNCT
bracis-28348	271	20	j.	j.	PROPN
bracis-28348	271	21	,	,	PUNCT
bracis-28348	271	22	cheng	cheng	PROPN
bracis-28348	271	23	,	,	PUNCT
bracis-28348	271	24	c.	c.	PROPN
bracis-28348	271	25	:	:	PUNCT
bracis-28348	271	26	incremental	incremental	ADJ
bracis-28348	271	27	and	and	CCONJ
bracis-28348	271	28	effective	effective	ADJ
bracis-28348	271	29	data	datum	NOUN
bracis-28348	271	30	summarization	summarization	NOUN
bracis-28348	271	31	for	for	ADP
bracis-28348	271	32	dynamic	dynamic	ADJ
bracis-28348	271	33	hierarchical	hierarchical	ADJ
bracis-28348	271	34	clustering	clustering	NOUN
bracis-28348	271	35	.	.	PUNCT
bracis-28348	272	1	in	in	ADP
bracis-28348	272	2	:	:	PUNCT
bracis-28348	272	3	proceedings	proceeding	NOUN
bracis-28348	272	4	of	of	ADP
bracis-28348	272	5	the	the	DET
bracis-28348	272	6	2004	2004	NUM
bracis-28348	272	7	acm	acm	PROPN
bracis-28348	272	8	sigmod	sigmod	PROPN
bracis-28348	272	9	international	international	ADJ
bracis-28348	272	10	conference	conference	NOUN
bracis-28348	272	11	on	on	ADP
bracis-28348	272	12	management	management	NOUN
bracis-28348	272	13	of	of	ADP
bracis-28348	272	14	data	datum	NOUN
bracis-28348	272	15	,	,	PUNCT
bracis-28348	272	16	pp	pp	ADJ
bracis-28348	272	17	.	.	PUNCT
bracis-28348	272	18	467–478	467–478	NUM
bracis-28348	272	19	.	.	PUNCT
bracis-28348	273	1	sigmod	sigmod	PROPN
bracis-28348	273	2	2004	2004	NUM
bracis-28348	273	3	,	,	PUNCT
bracis-28348	273	4	association	association	NOUN
bracis-28348	273	5	for	for	ADP
bracis-28348	273	6	computing	compute	VERB
bracis-28348	273	7	machinery	machinery	NOUN
bracis-28348	273	8	,	,	PUNCT
bracis-28348	273	9	new	new	PROPN
bracis-28348	273	10	york	york	PROPN
bracis-28348	273	11	,	,	PUNCT
bracis-28348	273	12	ny	ny	PROPN
bracis-28348	273	13	,	,	PUNCT
bracis-28348	273	14	usa	usa	PROPN
bracis-28348	273	15	(	(	PUNCT
bracis-28348	273	16	2004	2004	NUM
bracis-28348	273	17	)	)	PUNCT
bracis-28348	273	18	google	google	PROPN
bracis-28348	273	19	scholar	scholar	NOUN
bracis-28348	273	20	  	  	SPACE
bracis-28348	273	21	neto	neto	NOUN
bracis-28348	273	22	,	,	PUNCT
bracis-28348	273	23	a.c.a	a.c.a	NOUN
bracis-28348	273	24	.	.	PROPN
bracis-28348	273	25	,	,	PUNCT
bracis-28348	273	26	naldi	naldi	PROPN
bracis-28348	273	27	,	,	PUNCT
bracis-28348	273	28	m.c	m.c	PROPN
bracis-28348	273	29	.	.	PROPN
bracis-28348	273	30	,	,	PUNCT
bracis-28348	273	31	campello	campello	PROPN
bracis-28348	273	32	,	,	PUNCT
bracis-28348	273	33	r.j.g.b	r.j.g.b	PROPN
bracis-28348	273	34	.	.	PROPN
bracis-28348	273	35	,	,	PUNCT
bracis-28348	273	36	sander	sander	PROPN
bracis-28348	273	37	,	,	PUNCT
bracis-28348	273	38	j.	j.	PROPN
bracis-28348	273	39	:	:	PUNCT
bracis-28348	273	40	core	core	PROPN
bracis-28348	273	41	-	-	PUNCT
bracis-28348	273	42	sg	sg	PROPN
bracis-28348	273	43	:	:	PUNCT
bracis-28348	273	44	efficient	efficient	ADJ
bracis-28348	273	45	computation	computation	NOUN
bracis-28348	273	46	of	of	ADP
bracis-28348	273	47	multiple	multiple	ADJ
bracis-28348	273	48	msts	mst	NOUN
bracis-28348	273	49	for	for	ADP
bracis-28348	273	50	density	density	NOUN
bracis-28348	273	51	-	-	PUNCT
bracis-28348	273	52	based	base	VERB
bracis-28348	273	53	methods	method	NOUN
bracis-28348	273	54	.	.	PUNCT
bracis-28348	274	1	in	in	ADP
bracis-28348	274	2	:	:	PUNCT
bracis-28348	274	3	2022	2022	NUM
bracis-28348	274	4	ieee	ieee	NOUN
bracis-28348	274	5	38th	38th	ADJ
bracis-28348	274	6	international	international	ADJ
bracis-28348	274	7	conference	conference	NOUN
bracis-28348	274	8	on	on	ADP
bracis-28348	274	9	data	datum	NOUN
bracis-28348	274	10	engineering	engineering	NOUN
bracis-28348	274	11	(	(	PUNCT
bracis-28348	274	12	icde	icde	PROPN
bracis-28348	274	13	)	)	PUNCT
bracis-28348	274	14	,	,	PUNCT
bracis-28348	274	15	pp	pp	ADP
bracis-28348	274	16	.	.	PUNCT
bracis-28348	275	1	951–964	951–964	NUM
bracis-28348	275	2	(	(	PUNCT
bracis-28348	275	3	2022	2022	NUM
bracis-28348	275	4	)	)	PUNCT
bracis-28348	275	5	google	google	PROPN
bracis-28348	275	6	scholar	scholar	NOUN
bracis-28348	275	7	  	  	SPACE
bracis-28348	275	8	norman	norman	PROPN
bracis-28348	275	9	,	,	PUNCT
bracis-28348	275	10	t.m	t.m	PROPN
bracis-28348	275	11	.	.	PROPN
bracis-28348	275	12	,	,	PUNCT
bracis-28348	275	13	et	et	PROPN
bracis-28348	275	14	al	al	PROPN
bracis-28348	275	15	.	.	PROPN
bracis-28348	275	16	:	:	PUNCT
bracis-28348	275	17	exploring	explore	VERB
bracis-28348	275	18	genetic	genetic	ADJ
bracis-28348	275	19	interaction	interaction	NOUN
bracis-28348	275	20	manifolds	manifold	NOUN
bracis-28348	275	21	constructed	construct	VERB
bracis-28348	275	22	from	from	ADP
bracis-28348	275	23	rich	rich	ADJ
bracis-28348	275	24	single	single	ADJ
bracis-28348	275	25	-	-	PUNCT
bracis-28348	275	26	cell	cell	NOUN
bracis-28348	275	27	phenotypes	phenotype	NOUN
bracis-28348	275	28	.	.	PUNCT
bracis-28348	276	1	science	science	NOUN
bracis-28348	276	2	365(6455	365(6455	NUM
bracis-28348	276	3	)	)	PUNCT
bracis-28348	276	4	,	,	PUNCT
bracis-28348	276	5	786–793	786–793	NUM
bracis-28348	276	6	(	(	PUNCT
bracis-28348	276	7	2019	2019	NUM
bracis-28348	276	8	)	)	PUNCT
bracis-28348	276	9	article	article	NOUN
bracis-28348	276	10	  	  	SPACE
bracis-28348	276	11	google	google	PROPN
bracis-28348	276	12	scholar	scholar	NOUN
bracis-28348	276	13	  	  	SPACE
bracis-28348	276	14	dos	do	NOUN
bracis-28348	276	15	santos	santo	NOUN
bracis-28348	276	16	,	,	PUNCT
bracis-28348	276	17	j.a	j.a	PROPN
bracis-28348	276	18	.	.	PROPN
bracis-28348	276	19	,	,	PUNCT
bracis-28348	276	20	syed	syed	ADJ
bracis-28348	276	21	,	,	PUNCT
bracis-28348	276	22	t.i	t.i	PROPN
bracis-28348	276	23	.	.	PROPN
bracis-28348	276	24	,	,	PUNCT
bracis-28348	276	25	naldi	naldi	PROPN
bracis-28348	276	26	,	,	PUNCT
bracis-28348	276	27	m.c	m.c	PROPN
bracis-28348	276	28	.	.	PROPN
bracis-28348	276	29	,	,	PUNCT
bracis-28348	276	30	campello	campello	PROPN
bracis-28348	276	31	,	,	PUNCT
bracis-28348	276	32	r.j	r.j	PROPN
bracis-28348	276	33	.	.	PROPN
bracis-28348	276	34	,	,	PUNCT
bracis-28348	276	35	sander	sander	PROPN
bracis-28348	276	36	,	,	PUNCT
bracis-28348	276	37	j.	j.	PROPN
bracis-28348	276	38	:	:	PUNCT
bracis-28348	276	39	hierarchical	hierarchical	ADJ
bracis-28348	276	40	density	density	NOUN
bracis-28348	276	41	-	-	PUNCT
bracis-28348	276	42	based	base	VERB
bracis-28348	276	43	clustering	clustering	NOUN
bracis-28348	276	44	using	use	VERB
bracis-28348	276	45	mapreduce	mapreduce	PROPN
bracis-28348	276	46	.	.	PUNCT
bracis-28348	277	1	ieee	ieee	PROPN
bracis-28348	277	2	trans	trans	PROPN
bracis-28348	277	3	.	.	PUNCT
bracis-28348	278	1	big	big	ADJ
bracis-28348	278	2	data	datum	NOUN
bracis-28348	278	3	7(1	7(1	NUM
bracis-28348	278	4	)	)	PUNCT
bracis-28348	278	5	,	,	PUNCT
bracis-28348	278	6	102–114	102–114	NUM
bracis-28348	278	7	(	(	PUNCT
bracis-28348	278	8	2019	2019	NUM
bracis-28348	278	9	)	)	PUNCT
bracis-28348	278	10	article	article	NOUN
bracis-28348	278	11	  	  	SPACE
bracis-28348	278	12	google	google	PROPN
bracis-28348	278	13	scholar	scholar	NOUN
bracis-28348	278	14	  	  	SPACE
bracis-28348	278	15	savoie	savoie	PROPN
bracis-28348	278	16	,	,	PUNCT
bracis-28348	278	17	w.	w.	PROPN
bracis-28348	278	18	,	,	PUNCT
bracis-28348	278	19	et	et	PROPN
bracis-28348	278	20	al	al	PROPN
bracis-28348	278	21	.	.	PUNCT
bracis-28348	278	22	:	:	PUNCT
bracis-28348	279	1	a	a	DET
bracis-28348	279	2	robot	robot	NOUN
bracis-28348	279	3	made	make	VERB
bracis-28348	279	4	of	of	ADP
bracis-28348	279	5	robots	robot	NOUN
bracis-28348	279	6	:	:	PUNCT
bracis-28348	279	7	emergent	emergent	ADJ
bracis-28348	279	8	transport	transport	NOUN
bracis-28348	279	9	and	and	CCONJ
bracis-28348	279	10	control	control	NOUN
bracis-28348	279	11	of	of	ADP
bracis-28348	279	12	a	a	DET
bracis-28348	279	13	smarticle	smarticle	NOUN
bracis-28348	279	14	ensemble	ensemble	ADJ
bracis-28348	279	15	.	.	PUNCT
bracis-28348	280	1	sci	sci	PROPN
bracis-28348	280	2	.	.	PROPN
bracis-28348	280	3	robot	robot	PROPN
bracis-28348	280	4	.	.	PUNCT
bracis-28348	281	1	4(34	4(34	NUM
bracis-28348	281	2	)	)	PUNCT
bracis-28348	281	3	,	,	PUNCT
bracis-28348	281	4	eaax4316	eaax4316	PROPN
bracis-28348	281	5	(	(	PUNCT
bracis-28348	281	6	2019	2019	NUM
bracis-28348	281	7	)	)	PUNCT
bracis-28348	281	8	article	article	NOUN
bracis-28348	281	9	  	  	SPACE
bracis-28348	281	10	google	google	PROPN
bracis-28348	281	11	scholar	scholar	NOUN
bracis-28348	281	12	  	  	SPACE
bracis-28348	281	13	vendramin	vendramin	NOUN
bracis-28348	281	14	,	,	PUNCT
bracis-28348	281	15	l.	l.	PROPN
bracis-28348	281	16	,	,	PUNCT
bracis-28348	281	17	campello	campello	PROPN
bracis-28348	281	18	,	,	PUNCT
bracis-28348	281	19	r.j	r.j	PROPN
bracis-28348	281	20	.	.	PROPN
bracis-28348	281	21	,	,	PUNCT
bracis-28348	281	22	hruschka	hruschka	PROPN
bracis-28348	281	23	,	,	PUNCT
bracis-28348	281	24	e.r	e.r	PROPN
bracis-28348	281	25	.	.	PROPN
bracis-28348	281	26	:	:	PUNCT
bracis-28348	281	27	relative	relative	ADJ
bracis-28348	281	28	clustering	cluster	VERB
bracis-28348	281	29	validity	validity	NOUN
bracis-28348	281	30	criteria	criterion	NOUN
bracis-28348	281	31	:	:	PUNCT
bracis-28348	281	32	a	a	DET
bracis-28348	281	33	comparative	comparative	ADJ
bracis-28348	281	34	overview	overview	NOUN
bracis-28348	281	35	.	.	PUNCT
bracis-28348	282	1	statist	statist	ADJ
bracis-28348	282	2	.	.	PUNCT
bracis-28348	283	1	anal	anal	PROPN
bracis-28348	283	2	.	.	PUNCT
bracis-28348	284	1	data	data	PROPN
bracis-28348	284	2	mining	mining	PROPN
bracis-28348	284	3	asa	asa	PROPN
bracis-28348	284	4	data	data	PROPN
bracis-28348	284	5	sci	sci	PROPN
bracis-28348	284	6	.	.	PUNCT
bracis-28348	284	7	j.	j.	PROPN
bracis-28348	284	8	3(4	3(4	PROPN
bracis-28348	284	9	)	)	PUNCT
bracis-28348	284	10	,	,	PUNCT
bracis-28348	284	11	209–235	209–235	NUM
bracis-28348	284	12	(	(	PUNCT
bracis-28348	284	13	2010	2010	NUM
bracis-28348	284	14	)	)	PUNCT
bracis-28348	284	15	article	article	NOUN
bracis-28348	284	16	  	  	SPACE
bracis-28348	284	17	mathscinet	mathscinet	NOUN
bracis-28348	284	18	  	  	SPACE
bracis-28348	284	19	math	math	NOUN
bracis-28348	284	20	  	  	SPACE
bracis-28348	284	21	google	google	PROPN
bracis-28348	284	22	scholar	scholar	NOUN
bracis-28348	284	23	  	  	SPACE
bracis-28348	284	24	zerhari	zerhari	X
bracis-28348	284	25	,	,	PUNCT
bracis-28348	284	26	b.	b.	PROPN
bracis-28348	284	27	,	,	PUNCT
bracis-28348	284	28	lahcen	lahcen	PROPN
bracis-28348	284	29	,	,	PUNCT
bracis-28348	284	30	a.a	a.a	PROPN
bracis-28348	284	31	.	.	PROPN
bracis-28348	284	32	,	,	PUNCT
bracis-28348	284	33	mouline	mouline	PROPN
bracis-28348	284	34	,	,	PUNCT
bracis-28348	284	35	s.	s.	PROPN
bracis-28348	284	36	:	:	PUNCT
bracis-28348	284	37	big	big	ADJ
bracis-28348	284	38	data	datum	NOUN
bracis-28348	284	39	clustering	cluster	VERB
bracis-28348	284	40	:	:	PUNCT
bracis-28348	284	41	algorithms	algorithm	NOUN
bracis-28348	284	42	and	and	CCONJ
bracis-28348	284	43	challenges	challenge	NOUN
bracis-28348	284	44	.	.	PUNCT
bracis-28348	285	1	in	in	ADP
bracis-28348	285	2	:	:	PUNCT
bracis-28348	285	3	proceedings	proceeding	NOUN
bracis-28348	285	4	of	of	ADP
bracis-28348	285	5	international	international	ADJ
bracis-28348	285	6	conference	conference	NOUN
bracis-28348	285	7	on	on	ADP
bracis-28348	285	8	big	big	ADJ
bracis-28348	285	9	data	datum	NOUN
bracis-28348	285	10	,	,	PUNCT
bracis-28348	285	11	cloud	cloud	NOUN
bracis-28348	285	12	and	and	CCONJ
bracis-28348	285	13	applications	application	NOUN
bracis-28348	285	14	(	(	PUNCT
bracis-28348	285	15	bdca-5	bdca-5	PROPN
bracis-28348	285	16	)	)	PUNCT
bracis-28348	285	17	(	(	PUNCT
bracis-28348	285	18	2015	2015	NUM
bracis-28348	285	19	)	)	PUNCT
bracis-28348	285	20	google	google	PROPN
bracis-28348	285	21	scholar	scholar	NOUN
bracis-28348	285	22	  	  	SPACE
bracis-28348	285	23	zhang	zhang	PROPN
bracis-28348	285	24	,	,	PUNCT
bracis-28348	285	25	t.	t.	PROPN
bracis-28348	285	26	,	,	PUNCT
bracis-28348	285	27	ramakrishnan	ramakrishnan	PROPN
bracis-28348	285	28	,	,	PUNCT
bracis-28348	285	29	r.	r.	PROPN
bracis-28348	285	30	,	,	PUNCT
bracis-28348	285	31	livny	livny	NOUN
bracis-28348	285	32	,	,	PUNCT
bracis-28348	285	33	m.	m.	NOUN
bracis-28348	285	34	:	:	PUNCT
bracis-28348	285	35	birch	birch	NOUN
bracis-28348	285	36	:	:	PUNCT
bracis-28348	285	37	an	an	DET
bracis-28348	285	38	efficient	efficient	ADJ
bracis-28348	285	39	data	datum	NOUN
bracis-28348	285	40	clustering	clustering	NOUN
bracis-28348	285	41	method	method	NOUN
bracis-28348	285	42	for	for	ADP
bracis-28348	285	43	very	very	ADV
bracis-28348	285	44	large	large	ADJ
bracis-28348	285	45	databases	database	NOUN
bracis-28348	285	46	.	.	PUNCT
bracis-28348	286	1	sigmod	sigmod	PROPN
bracis-28348	286	2	rec	rec	PROPN
bracis-28348	286	3	.	.	PROPN
bracis-28348	286	4	25(2	25(2	NUM
bracis-28348	286	5	)	)	PUNCT
bracis-28348	286	6	,	,	PUNCT
bracis-28348	286	7	103–114	103–114	NUM
bracis-28348	286	8	(	(	PUNCT
bracis-28348	286	9	1996	1996	NUM
bracis-28348	286	10	)	)	PUNCT
bracis-28348	286	11	article	article	NOUN
bracis-28348	286	12	  	  	SPACE
bracis-28348	286	13	google	google	PROPN
bracis-28348	286	14	scholar	scholar	NOUN
bracis-28348	286	15	  	  	SPACE
bracis-28348	286	16	zhang	zhang	PROPN
bracis-28348	286	17	,	,	PUNCT
bracis-28348	286	18	y.	y.	PROPN
bracis-28348	286	19	,	,	PUNCT
bracis-28348	286	20	cheung	cheung	PROPN
bracis-28348	286	21	,	,	PUNCT
bracis-28348	286	22	y.	y.	PROPN
bracis-28348	286	23	,	,	PUNCT
bracis-28348	286	24	liu	liu	PROPN
bracis-28348	286	25	,	,	PUNCT
bracis-28348	286	26	y.	y.	NOUN
bracis-28348	286	27	:	:	PUNCT
bracis-28348	286	28	quality	quality	NOUN
bracis-28348	286	29	preserved	preserve	VERB
bracis-28348	286	30	data	datum	NOUN
bracis-28348	286	31	summarization	summarization	NOUN
bracis-28348	286	32	for	for	ADP
bracis-28348	286	33	fast	fast	ADJ
bracis-28348	286	34	hierarchical	hierarchical	ADJ
bracis-28348	286	35	clustering	clustering	NOUN
bracis-28348	286	36	.	.	PUNCT
bracis-28348	287	1	in	in	ADP
bracis-28348	287	2	:	:	PUNCT
bracis-28348	287	3	2016	2016	NUM
bracis-28348	287	4	international	international	ADJ
bracis-28348	287	5	joint	joint	ADJ
bracis-28348	287	6	conference	conference	NOUN
bracis-28348	287	7	on	on	ADP
bracis-28348	287	8	neural	neural	ADJ
bracis-28348	287	9	networks	network	NOUN
bracis-28348	287	10	(	(	PUNCT
bracis-28348	287	11	ijcnn	ijcnn	PROPN
bracis-28348	287	12	)	)	PUNCT
bracis-28348	287	13	,	,	PUNCT
bracis-28348	287	14	pp	pp	ADP
bracis-28348	287	15	.	.	PUNCT
bracis-28348	288	1	4139–4146	4139–4146	NUM
bracis-28348	288	2	(	(	PUNCT
bracis-28348	288	3	2016	2016	NUM
bracis-28348	288	4	)	)	PUNCT
bracis-28348	288	5	google	google	PROPN
bracis-28348	288	6	scholar	scholar	NOUN
bracis-28348	288	7	  	  	SPACE
bracis-28348	288	8	zhou	zhou	PROPN
bracis-28348	288	9	,	,	PUNCT
bracis-28348	288	10	j.	j.	PROPN
bracis-28348	288	11	,	,	PUNCT
bracis-28348	288	12	sander	sander	PROPN
bracis-28348	288	13	,	,	PUNCT
bracis-28348	288	14	j.	j.	PROPN
bracis-28348	288	15	:	:	PUNCT
bracis-28348	288	16	data	datum	NOUN
bracis-28348	288	17	bubbles	bubble	NOUN
bracis-28348	288	18	for	for	ADP
bracis-28348	288	19	non	non	ADJ
bracis-28348	288	20	-	-	ADJ
bracis-28348	288	21	vector	vector	ADJ
bracis-28348	288	22	data	datum	NOUN
bracis-28348	288	23	:	:	PUNCT
bracis-28348	288	24	speeding	speed	VERB
bracis-28348	288	25	-	-	PUNCT
bracis-28348	288	26	up	up	ADP
bracis-28348	288	27	hierarchical	hierarchical	ADJ
bracis-28348	288	28	clustering	clustering	NOUN
bracis-28348	288	29	in	in	ADP
bracis-28348	288	30	arbitrary	arbitrary	ADJ
bracis-28348	288	31	metric	metric	ADJ
bracis-28348	288	32	spaces	space	NOUN
bracis-28348	288	33	.	.	PUNCT
bracis-28348	289	1	in	in	ADP
bracis-28348	289	2	:	:	PUNCT
bracis-28348	289	3	freytag	freytag	NOUN
bracis-28348	289	4	,	,	PUNCT
bracis-28348	289	5	j.c	j.c	PROPN
bracis-28348	289	6	.	.	PROPN
bracis-28348	289	7	,	,	PUNCT
bracis-28348	289	8	lockemann	lockemann	PROPN
bracis-28348	289	9	,	,	PUNCT
bracis-28348	289	10	p.	p.	NOUN
bracis-28348	289	11	,	,	PUNCT
bracis-28348	289	12	abiteboul	abiteboul	PROPN
bracis-28348	289	13	,	,	PUNCT
bracis-28348	289	14	s.	s.	PROPN
bracis-28348	289	15	,	,	PUNCT
bracis-28348	289	16	carey	carey	PROPN
bracis-28348	289	17	,	,	PUNCT
bracis-28348	289	18	m.	m.	NOUN
bracis-28348	289	19	,	,	PUNCT
bracis-28348	289	20	selinger	selinger	NOUN
bracis-28348	289	21	,	,	PUNCT
bracis-28348	289	22	p.	p.	NOUN
bracis-28348	289	23	,	,	PUNCT
bracis-28348	289	24	heuer	heuer	PROPN
bracis-28348	289	25	,	,	PUNCT
bracis-28348	289	26	a.	a.	PROPN
bracis-28348	289	27	(	(	PUNCT
bracis-28348	289	28	eds	eds	PROPN
bracis-28348	289	29	.	.	PUNCT
bracis-28348	289	30	)	)	PUNCT
bracis-28348	289	31	proc	proc	NOUN
bracis-28348	289	32	.	.	PUNCT
bracis-28348	290	1	2003	2003	NUM
bracis-28348	290	2	vldb	vldb	NOUN
bracis-28348	290	3	conf	conf	NOUN
bracis-28348	290	4	.	.	PUNCT
bracis-28348	290	5	,	,	PUNCT
bracis-28348	290	6	pp	pp	ADJ
bracis-28348	290	7	.	.	PUNCT
bracis-28348	291	1	452–463	452–463	NUM
bracis-28348	291	2	.	.	PUNCT
bracis-28348	292	1	morgan	morgan	PROPN
bracis-28348	292	2	kaufmann	kaufmann	PROPN
bracis-28348	292	3	,	,	PUNCT
bracis-28348	292	4	san	san	PROPN
bracis-28348	292	5	francisco	francisco	PROPN
bracis-28348	292	6	(	(	PUNCT
bracis-28348	292	7	2003	2003	NUM
bracis-28348	292	8	)	)	PUNCT
bracis-28348	292	9	chapter	chapter	NOUN
bracis-28348	292	10	  	  	SPACE
bracis-28348	292	11	google	google	PROPN
bracis-28348	292	12	scholar	scholar	NOUN
bracis-28348	292	13	  	  	SPACE
bracis-28348	292	14	download	download	NOUN
bracis-28348	292	15	references	reference	NOUN
bracis-28348	292	16	acknowledgement	acknowledgement	NOUN
bracis-28348	292	17	the	the	DET
bracis-28348	292	18	authors	author	NOUN
bracis-28348	292	19	would	would	AUX
bracis-28348	292	20	like	like	VERB
bracis-28348	292	21	to	to	PART
bracis-28348	292	22	thank	thank	VERB
bracis-28348	292	23	cnpq	cnpq	PROPN
bracis-28348	292	24	mai	mai	PROPN
bracis-28348	292	25	/	/	SYM
bracis-28348	292	26	dai	dai	PROPN
bracis-28348	292	27	program	program	NOUN
bracis-28348	292	28	,	,	PUNCT
bracis-28348	292	29	capes	cape	NOUN
bracis-28348	292	30	,	,	PUNCT
bracis-28348	292	31	and	and	CCONJ
bracis-28348	292	32	fapesp	fapesp	NOUN
bracis-28348	292	33	for	for	ADP
bracis-28348	292	34	their	their	PRON
bracis-28348	292	35	financial	financial	ADJ
bracis-28348	292	36	support	support	NOUN
bracis-28348	292	37	.	.	PUNCT
bracis-28348	293	1	we	we	PRON
bracis-28348	293	2	also	also	ADV
bracis-28348	293	3	thank	thank	VERB
bracis-28348	293	4	prof	prof	PROPN
bracis-28348	293	5	.	.	PUNCT
bracis-28348	294	1	jörg	jörg	PROPN
bracis-28348	294	2	sander	sander	VERB
bracis-28348	294	3	for	for	ADP
bracis-28348	294	4	his	his	PRON
bracis-28348	294	5	insight	insight	NOUN
bracis-28348	294	6	and	and	CCONJ
bracis-28348	294	7	support	support	NOUN
bracis-28348	294	8	.	.	PUNCT
bracis-28348	295	1	author	author	NOUN
bracis-28348	295	2	information	information	NOUN
bracis-28348	295	3	authors	author	NOUN
bracis-28348	295	4	and	and	CCONJ
bracis-28348	295	5	affiliations	affiliation	NOUN
bracis-28348	295	6	department	department	PROPN
bracis-28348	295	7	of	of	ADP
bracis-28348	295	8	computing	computing	PROPN
bracis-28348	295	9	science	science	NOUN
bracis-28348	295	10	,	,	PUNCT
bracis-28348	295	11	federal	federal	ADJ
bracis-28348	295	12	university	university	PROPN
bracis-28348	295	13	of	of	ADP
bracis-28348	295	14	são	são	PROPN
bracis-28348	295	15	carlos	carlos	PROPN
bracis-28348	295	16	(	(	PUNCT
bracis-28348	295	17	ufscar	ufscar	NOUN
bracis-28348	295	18	)	)	PUNCT
bracis-28348	295	19	rod	rod	NOUN
bracis-28348	295	20	,	,	PUNCT
bracis-28348	295	21	washington	washington	PROPN
bracis-28348	295	22	luís	luís	PROPN
bracis-28348	295	23	,	,	PUNCT
bracis-28348	295	24	km	km	PROPN
bracis-28348	295	25	235	235	NUM
bracis-28348	295	26	pbox	pbox	NOUN
bracis-28348	295	27	676	676	NUM
bracis-28348	295	28	,	,	PUNCT
bracis-28348	295	29	são	são	PROPN
bracis-28348	295	30	carlos	carlos	PROPN
bracis-28348	295	31	,	,	PUNCT
bracis-28348	295	32	sp	sp	PROPN
bracis-28348	295	33	,	,	PUNCT
bracis-28348	295	34	brazil	brazil	PROPN
bracis-28348	295	35	natanael	natanael	PROPN
bracis-28348	295	36	f.	f.	PROPN
bracis-28348	295	37	dacioli	dacioli	PROPN
bracis-28348	295	38	batista	batista	PROPN
bracis-28348	295	39	,	,	PUNCT
bracis-28348	295	40	 	 	SPACE
bracis-28348	295	41	bruno	bruno	PROPN
bracis-28348	295	42	leonel	leonel	PROPN
bracis-28348	295	43	nunes	nunes	PROPN
bracis-28348	295	44	 	 	SPACE
bracis-28348	295	45	&	&	CCONJ
bracis-28348	295	46	 	 	SPACE
bracis-28348	295	47	murilo	murilo	PROPN
bracis-28348	295	48	coelho	coelho	PROPN
bracis-28348	295	49	naldi	naldi	PROPN
bracis-28348	295	50	authors	authors	PROPN
bracis-28348	295	51	natanael	natanael	PROPN
bracis-28348	295	52	f.	f.	PROPN
bracis-28348	295	53	dacioli	dacioli	PROPN
bracis-28348	295	54	batistaview	batistaview	VERB
bracis-28348	295	55	author	author	NOUN
bracis-28348	295	56	publications	publication	NOUN
bracis-28348	295	57	search	search	NOUN
bracis-28348	295	58	author	author	NOUN
bracis-28348	295	59	on	on	ADP
bracis-28348	295	60	:	:	PUNCT
bracis-28348	295	61	pubmed	pubmed	PROPN
bracis-28348	295	62	 	 	SPACE
bracis-28348	295	63	google	google	PROPN
bracis-28348	295	64	scholar	scholar	PROPN
bracis-28348	295	65	bruno	bruno	PROPN
bracis-28348	295	66	leonel	leonel	PROPN
bracis-28348	295	67	nunesview	nunesview	PROPN
bracis-28348	295	68	author	author	NOUN
bracis-28348	295	69	publications	publication	NOUN
bracis-28348	295	70	search	search	NOUN
bracis-28348	295	71	author	author	NOUN
bracis-28348	295	72	on	on	ADP
bracis-28348	295	73	:	:	PUNCT
bracis-28348	295	74	pubmed	pubmed	PROPN
bracis-28348	295	75	 	 	SPACE
bracis-28348	295	76	google	google	PROPN
bracis-28348	295	77	scholar	scholar	PROPN
bracis-28348	295	78	murilo	murilo	PROPN
bracis-28348	295	79	coelho	coelho	PROPN
bracis-28348	295	80	naldiview	naldiview	PROPN
bracis-28348	295	81	author	author	NOUN
bracis-28348	295	82	publications	publication	NOUN
bracis-28348	295	83	search	search	NOUN
bracis-28348	295	84	author	author	NOUN
bracis-28348	295	85	on	on	ADP
bracis-28348	295	86	:	:	PUNCT
bracis-28348	295	87	pubmed	pubmed	PROPN
bracis-28348	295	88	 	 	SPACE
bracis-28348	295	89	google	google	PROPN
bracis-28348	295	90	scholar	scholar	NOUN
bracis-28348	295	91	corresponding	correspond	VERB
bracis-28348	295	92	author	author	NOUN
bracis-28348	295	93	correspondence	correspondence	NOUN
bracis-28348	295	94	to	to	ADP
bracis-28348	295	95	natanael	natanael	PROPN
bracis-28348	295	96	f.	f.	PROPN
bracis-28348	295	97	dacioli	dacioli	PROPN
bracis-28348	295	98	batista	batista	PROPN
bracis-28348	295	99	.	.	PUNCT
bracis-28348	296	1	editor	editor	NOUN
bracis-28348	296	2	information	information	NOUN
bracis-28348	296	3	editors	editor	NOUN
bracis-28348	296	4	and	and	CCONJ
bracis-28348	296	5	affiliations	affiliation	NOUN
bracis-28348	296	6	federal	federal	PROPN
bracis-28348	296	7	university	university	PROPN
bracis-28348	296	8	of	of	ADP
bracis-28348	296	9	são	são	PROPN
bracis-28348	296	10	carlos	carlos	PROPN
bracis-28348	296	11	,	,	PUNCT
bracis-28348	296	12	são	são	PROPN
bracis-28348	296	13	carlos	carlos	PROPN
bracis-28348	296	14	,	,	PUNCT
bracis-28348	296	15	brazil	brazil	PROPN
bracis-28348	296	16	murilo	murilo	PROPN
bracis-28348	296	17	c.	c.	PROPN
bracis-28348	296	18	naldi	naldi	PROPN
bracis-28348	296	19	centro	centro	PROPN
bracis-28348	296	20	universitario	universitario	PROPN
bracis-28348	296	21	da	da	PROPN
bracis-28348	296	22	fei	fei	PROPN
bracis-28348	296	23	,	,	PUNCT
bracis-28348	296	24	são	são	PROPN
bracis-28348	296	25	bernardo	bernardo	PROPN
bracis-28348	296	26	do	do	AUX
bracis-28348	296	27	campo	campo	PROPN
bracis-28348	296	28	,	,	PUNCT
bracis-28348	296	29	brazil	brazil	PROPN
bracis-28348	296	30	reinaldo	reinaldo	PROPN
bracis-28348	296	31	a.	a.	PROPN
bracis-28348	296	32	c.	c.	PROPN
bracis-28348	296	33	bianchi	bianchi	PROPN
bracis-28348	296	34	rights	right	NOUN
bracis-28348	296	35	and	and	CCONJ
bracis-28348	296	36	permissions	permission	NOUN
bracis-28348	296	37	reprints	reprint	NOUN
bracis-28348	296	38	and	and	CCONJ
bracis-28348	296	39	permissions	permission	VERB
bracis-28348	296	40	copyright	copyright	NOUN
bracis-28348	296	41	information	information	NOUN
bracis-28348	296	42	©	©	ADP
bracis-28348	296	43	2023	2023	NUM
bracis-28348	296	44	the	the	DET
bracis-28348	296	45	author(s	author(s	NOUN
bracis-28348	296	46	)	)	PUNCT
bracis-28348	296	47	,	,	PUNCT
bracis-28348	296	48	under	under	ADP
bracis-28348	296	49	exclusive	exclusive	ADJ
bracis-28348	296	50	license	license	NOUN
bracis-28348	296	51	to	to	ADP
bracis-28348	296	52	springer	springer	NOUN
bracis-28348	296	53	nature	nature	PROPN
bracis-28348	296	54	switzerland	switzerland	PROPN
bracis-28348	296	55	ag	ag	PROPN
bracis-28348	296	56	about	about	ADP
bracis-28348	296	57	this	this	DET
bracis-28348	296	58	paper	paper	NOUN
bracis-28348	296	59	cite	cite	VERB
bracis-28348	296	60	this	this	DET
bracis-28348	296	61	paper	paper	NOUN
bracis-28348	296	62	batista	batista	PROPN
bracis-28348	296	63	,	,	PUNCT
bracis-28348	296	64	n.f.d	n.f.d	PROPN
bracis-28348	296	65	.	.	PROPN
bracis-28348	296	66	,	,	PUNCT
bracis-28348	296	67	nunes	nunes	PROPN
bracis-28348	296	68	,	,	PUNCT
bracis-28348	296	69	b.l	b.l	PROPN
bracis-28348	296	70	.	.	PROPN
bracis-28348	296	71	,	,	PUNCT
bracis-28348	296	72	naldi	naldi	PROPN
bracis-28348	296	73	,	,	PUNCT
bracis-28348	296	74	m.c	m.c	PROPN
bracis-28348	296	75	.	.	PROPN
bracis-28348	296	76	(	(	PUNCT
bracis-28348	296	77	2023	2023	NUM
bracis-28348	296	78	)	)	PUNCT
bracis-28348	296	79	.	.	PUNCT
bracis-28348	297	1	efficient	efficient	ADJ
bracis-28348	297	2	density	density	NOUN
bracis-28348	297	3	-	-	PUNCT
bracis-28348	297	4	based	base	VERB
bracis-28348	297	5	models	model	NOUN
bracis-28348	297	6	for	for	ADP
bracis-28348	297	7	 	 	SPACE
bracis-28348	297	8	multiple	multiple	ADJ
bracis-28348	297	9	machine	machine	NOUN
bracis-28348	297	10	learning	learn	VERB
bracis-28348	297	11	solutions	solution	NOUN
bracis-28348	297	12	over	over	ADP
bracis-28348	297	13	 	 	SPACE
bracis-28348	297	14	large	large	ADJ
bracis-28348	297	15	datasets	dataset	NOUN
bracis-28348	297	16	.	.	PUNCT
bracis-28348	298	1	in	in	ADP
bracis-28348	298	2	:	:	PUNCT
bracis-28348	298	3	naldi	naldi	PROPN
bracis-28348	298	4	,	,	PUNCT
bracis-28348	298	5	m.c	m.c	PROPN
bracis-28348	298	6	.	.	PROPN
bracis-28348	298	7	,	,	PUNCT
bracis-28348	298	8	bianchi	bianchi	PROPN
bracis-28348	298	9	,	,	PUNCT
bracis-28348	298	10	r.a.c	r.a.c	ADP
bracis-28348	298	11	.	.	PUNCT
bracis-28348	298	12	(	(	PUNCT
bracis-28348	298	13	eds	ed	NOUN
bracis-28348	298	14	)	)	PUNCT
bracis-28348	298	15	intelligent	intelligent	ADJ
bracis-28348	298	16	systems	system	NOUN
bracis-28348	298	17	.	.	PUNCT
bracis-28348	299	1	bracis	bracis	PROPN
bracis-28348	299	2	2023	2023	NUM
bracis-28348	299	3	.	.	PUNCT
bracis-28348	300	1	lecture	lecture	NOUN
bracis-28348	300	2	notes	note	NOUN
bracis-28348	300	3	in	in	ADP
bracis-28348	300	4	computer	computer	NOUN
bracis-28348	300	5	science	science	NOUN
bracis-28348	300	6	(	(	PUNCT
bracis-28348	300	7	)	)	PUNCT
bracis-28348	300	8	,	,	PUNCT
bracis-28348	300	9	vol	vol	NOUN
bracis-28348	300	10	14195	14195	NUM
bracis-28348	300	11	.	.	PUNCT
bracis-28348	301	1	springer	springer	NOUN
bracis-28348	301	2	,	,	PUNCT
bracis-28348	301	3	cham	cham	PROPN
bracis-28348	301	4	.	.	PUNCT
bracis-28348	302	1	https://doi.org/10.1007/978-3-031-45368-7_4	https://doi.org/10.1007/978-3-031-45368-7_4	NOUN
bracis-28348	302	2	download	download	NOUN
bracis-28348	302	3	citation	citation	NOUN
bracis-28348	302	4	.ris	.ris	PUNCT
bracis-28348	302	5	.enw	.enw	PROPN
bracis-28348	302	6	.bib	.bib	PUNCT
bracis-28348	303	1	doi	doi	PROPN
bracis-28348	303	2	:	:	PUNCT
bracis-28348	303	3	https://doi.org/10.1007/978-3-031-45368-7_4	https://doi.org/10.1007/978-3-031-45368-7_4	NOUN
bracis-28348	303	4	published	publish	VERB
bracis-28348	303	5	:	:	PUNCT
bracis-28348	303	6	12	12	NUM
bracis-28348	303	7	october	october	PROPN
bracis-28348	303	8	2023	2023	NUM
bracis-28348	303	9	publisher	publisher	NOUN
bracis-28348	303	10	name	name	NOUN
bracis-28348	303	11	:	:	PUNCT
bracis-28348	303	12	springer	springer	NOUN
bracis-28348	303	13	,	,	PUNCT
bracis-28348	303	14	cham	cham	PROPN
bracis-28348	303	15	print	print	PROPN
bracis-28348	303	16	isbn	isbn	PROPN
bracis-28348	303	17	:	:	PUNCT
bracis-28348	303	18	978	978	NUM
bracis-28348	303	19	-	-	SYM
bracis-28348	303	20	3	3	NUM
bracis-28348	303	21	-	-	PUNCT
bracis-28348	303	22	031	031	NUM
bracis-28348	303	23	-	-	PUNCT
bracis-28348	303	24	45367	45367	NUM
bracis-28348	303	25	-	-	PUNCT
bracis-28348	303	26	0	0	NUM
bracis-28348	303	27	online	online	ADJ
bracis-28348	303	28	isbn	isbn	NOUN
bracis-28348	303	29	:	:	PUNCT
bracis-28348	303	30	978	978	NUM
bracis-28348	303	31	-	-	SYM
bracis-28348	303	32	3	3	NUM
bracis-28348	303	33	-	-	PUNCT
bracis-28348	303	34	031	031	NUM
bracis-28348	303	35	-	-	PUNCT
bracis-28348	303	36	45368	45368	NUM
bracis-28348	303	37	-	-	PUNCT
bracis-28348	303	38	7	7	NUM
bracis-28348	303	39	ebook	ebook	NOUN
bracis-28348	303	40	packages	package	NOUN
bracis-28348	303	41	:	:	PUNCT
bracis-28348	303	42	computer	computer	NOUN
bracis-28348	303	43	sciencecomputer	sciencecomputer	NOUN
bracis-28348	303	44	science	science	NOUN
bracis-28348	303	45	(	(	PUNCT
bracis-28348	303	46	r0	r0	NOUN
bracis-28348	303	47	)	)	PUNCT
bracis-28348	303	48	share	share	VERB
bracis-28348	303	49	this	this	DET
bracis-28348	303	50	paper	paper	NOUN
bracis-28348	303	51	anyone	anyone	PRON
bracis-28348	303	52	you	you	PRON
bracis-28348	303	53	share	share	VERB
bracis-28348	303	54	the	the	DET
bracis-28348	303	55	following	follow	VERB
bracis-28348	303	56	link	link	NOUN
bracis-28348	303	57	with	with	ADP
bracis-28348	303	58	will	will	AUX
bracis-28348	303	59	be	be	AUX
bracis-28348	303	60	able	able	ADJ
bracis-28348	303	61	to	to	PART
bracis-28348	303	62	read	read	VERB
bracis-28348	303	63	this	this	DET
bracis-28348	303	64	content	content	NOUN
bracis-28348	303	65	:	:	PUNCT
bracis-28348	303	66	get	get	VERB
bracis-28348	303	67	shareable	shareable	ADJ
bracis-28348	303	68	linksorry	linksorry	NOUN
bracis-28348	303	69	,	,	PUNCT
bracis-28348	303	70	a	a	DET
bracis-28348	303	71	shareable	shareable	ADJ
bracis-28348	303	72	link	link	NOUN
bracis-28348	303	73	is	be	AUX
bracis-28348	303	74	not	not	PART
bracis-28348	303	75	currently	currently	ADV
bracis-28348	303	76	available	available	ADJ
bracis-28348	303	77	for	for	ADP
bracis-28348	303	78	this	this	DET
bracis-28348	303	79	article	article	NOUN
bracis-28348	303	80	.	.	PUNCT
bracis-28348	304	1	copy	copy	VERB
bracis-28348	304	2	shareable	shareable	ADJ
bracis-28348	304	3	link	link	NOUN
bracis-28348	304	4	to	to	PART
bracis-28348	304	5	clipboard	clipboard	NOUN
bracis-28348	304	6	provided	provide	VERB
bracis-28348	304	7	by	by	ADP
bracis-28348	304	8	the	the	DET
bracis-28348	304	9	springer	springer	NOUN
bracis-28348	304	10	nature	nature	PROPN
bracis-28348	304	11	sharedit	sharedit	PROPN
bracis-28348	304	12	content	content	NOUN
bracis-28348	304	13	-	-	PUNCT
bracis-28348	304	14	sharing	share	VERB
bracis-28348	304	15	initiative	initiative	NOUN
bracis-28348	304	16	keywords	keyword	VERB
bracis-28348	304	17	density	density	NOUN
bracis-28348	304	18	-	-	PUNCT
bracis-28348	304	19	based	base	VERB
bracis-28348	304	20	data	data	NOUN
bracis-28348	304	21	models	model	NOUN
bracis-28348	304	22	unsupervised	unsupervised	ADJ
bracis-28348	304	23	learning	learning	NOUN
bracis-28348	304	24	clustering	cluster	VERB
bracis-28348	304	25	data	datum	NOUN
bracis-28348	304	26	sumarization	sumarization	NOUN
bracis-28348	304	27	big	big	ADJ
bracis-28348	304	28	data	datum	NOUN
bracis-28348	304	29	publish	publish	VERB
bracis-28348	304	30	with	with	ADP
bracis-28348	304	31	us	us	PROPN
bracis-28348	304	32	policies	policy	NOUN
bracis-28348	304	33	and	and	CCONJ
bracis-28348	304	34	ethics	ethic	NOUN
bracis-28348	304	35	profiles	profile	NOUN
bracis-28348	304	36	natanael	natanael	PROPN
bracis-28348	304	37	f.	f.	PROPN
bracis-28348	304	38	dacioli	dacioli	PROPN
bracis-28348	304	39	batista	batista	PROPN
bracis-28348	305	1	view	view	PROPN
bracis-28348	305	2	author	author	NOUN
bracis-28348	305	3	profile	profile	PROPN
bracis-28348	305	4	murilo	murilo	PROPN
bracis-28348	305	5	coelho	coelho	PROPN
bracis-28348	305	6	naldi	naldi	PROPN
bracis-28348	305	7	view	view	PROPN
bracis-28348	305	8	author	author	NOUN
bracis-28348	305	9	profile	profile	NOUN
bracis-28348	305	10	search	search	NOUN
bracis-28348	305	11	search	search	NOUN
bracis-28348	305	12	by	by	ADP
bracis-28348	305	13	keyword	keyword	NOUN
bracis-28348	305	14	or	or	CCONJ
bracis-28348	305	15	author	author	NOUN
bracis-28348	305	16	search	search	NOUN
bracis-28348	305	17	navigation	navigation	NOUN
bracis-28348	305	18	find	find	VERB
bracis-28348	305	19	a	a	DET
bracis-28348	305	20	journal	journal	NOUN
bracis-28348	305	21	publish	publish	VERB
bracis-28348	305	22	with	with	ADP
bracis-28348	305	23	us	we	PRON
bracis-28348	305	24	track	track	VERB
bracis-28348	305	25	your	your	PRON
bracis-28348	305	26	research	research	NOUN
bracis-28348	305	27	discover	discover	VERB
bracis-28348	305	28	content	content	NOUN
bracis-28348	305	29	journals	journal	NOUN
bracis-28348	305	30	a	a	DET
bracis-28348	305	31	-	-	PUNCT
bracis-28348	305	32	z	z	NOUN
bracis-28348	305	33	books	book	NOUN
bracis-28348	305	34	a	a	DET
bracis-28348	305	35	-	-	PUNCT
bracis-28348	305	36	z	z	NOUN
bracis-28348	305	37	publish	publish	NOUN
bracis-28348	305	38	with	with	ADP
bracis-28348	305	39	us	us	PROPN
bracis-28348	305	40	journal	journal	PROPN
bracis-28348	305	41	finder	finder	PROPN
bracis-28348	305	42	publish	publish	VERB
bracis-28348	305	43	your	your	PRON
bracis-28348	305	44	research	research	NOUN
bracis-28348	305	45	language	language	NOUN
bracis-28348	305	46	editing	edit	VERB
bracis-28348	305	47	open	open	ADJ
bracis-28348	305	48	access	access	NOUN
bracis-28348	305	49	publishing	publishing	NOUN
bracis-28348	305	50	products	product	NOUN
bracis-28348	305	51	and	and	CCONJ
bracis-28348	305	52	services	service	NOUN
bracis-28348	305	53	our	our	PRON
bracis-28348	305	54	products	product	NOUN
bracis-28348	305	55	librarians	librarian	VERB
bracis-28348	305	56	societies	society	NOUN
bracis-28348	305	57	partners	partner	NOUN
bracis-28348	305	58	and	and	CCONJ
bracis-28348	305	59	advertisers	advertiser	NOUN
bracis-28348	305	60	our	our	PRON
bracis-28348	305	61	brands	brand	NOUN
bracis-28348	305	62	springer	springer	NOUN
bracis-28348	305	63	nature	nature	PROPN
bracis-28348	305	64	portfolio	portfolio	PROPN
bracis-28348	305	65	bmc	bmc	PROPN
bracis-28348	305	66	palgrave	palgrave	PROPN
bracis-28348	305	67	macmillan	macmillan	PROPN
bracis-28348	305	68	apress	apress	PROPN
bracis-28348	305	69	discover	discover	VERB
bracis-28348	305	70	your	your	PRON
bracis-28348	305	71	privacy	privacy	NOUN
bracis-28348	305	72	choices	choice	NOUN
bracis-28348	305	73	/	/	SYM
bracis-28348	305	74	manage	manage	NOUN
bracis-28348	305	75	cookies	cookie	NOUN
bracis-28348	305	76	your	your	PRON
bracis-28348	305	77	us	us	PROPN
bracis-28348	306	1	state	state	NOUN
bracis-28348	306	2	privacy	privacy	NOUN
bracis-28348	306	3	rights	right	NOUN
bracis-28348	306	4	accessibility	accessibility	NOUN
bracis-28348	306	5	statement	statement	NOUN
bracis-28348	306	6	terms	term	NOUN
bracis-28348	306	7	and	and	CCONJ
bracis-28348	306	8	conditions	condition	NOUN
bracis-28348	306	9	privacy	privacy	NOUN
bracis-28348	306	10	policy	policy	NOUN
bracis-28348	306	11	help	help	NOUN
bracis-28348	306	12	and	and	CCONJ
bracis-28348	306	13	support	support	VERB
bracis-28348	306	14	legal	legal	ADJ
bracis-28348	306	15	notice	notice	NOUN
bracis-28348	306	16	cancel	cancel	VERB
bracis-28348	306	17	contracts	contract	NOUN
bracis-28348	306	18	here	here	ADV
bracis-28348	306	19	129.74.145.123	129.74.145.123	NUM
bracis-28348	306	20	hesburgh	hesburgh	PROPN
bracis-28348	306	21	library	library	PROPN
bracis-28348	306	22	er	er	INTJ
bracis-28348	306	23	unit	unit	NOUN
bracis-28348	306	24	(	(	PUNCT
bracis-28348	306	25	3005732405	3005732405	NUM
bracis-28348	306	26	)	)	PUNCT
bracis-28348	306	27	northeast	northeast	ADJ
bracis-28348	306	28	research	research	NOUN
bracis-28348	306	29	libraries	library	NOUN
bracis-28348	306	30	(	(	PUNCT
bracis-28348	306	31	nerl	nerl	PROPN
bracis-28348	306	32	)	)	PUNCT
bracis-28348	306	33	(	(	PUNCT
bracis-28348	306	34	8200828607	8200828607	NUM
bracis-28348	306	35	)	)	PUNCT
bracis-28348	306	36	nerl	nerl	VERB
bracis-28348	306	37	ta	ta	X
bracis-28348	306	38	account	account	NOUN
bracis-28348	306	39	(	(	PUNCT
bracis-28348	306	40	3006206169	3006206169	NUM
bracis-28348	306	41	)	)	PUNCT
bracis-28348	306	42	university	university	NOUN
bracis-28348	306	43	of	of	ADP
bracis-28348	306	44	notre	notre	PROPN
bracis-28348	306	45	dame	dame	PROPN
bracis-28348	306	46	hesburgh	hesburgh	PROPN
bracis-28348	306	47	library	library	NOUN
bracis-28348	306	48	(	(	PUNCT
bracis-28348	306	49	3000184373	3000184373	NUM
bracis-28348	306	50	)	)	PUNCT
bracis-28348	307	1	©	©	ADP
bracis-28348	307	2	2025	2025	NUM
bracis-28348	307	3	springer	springer	NOUN
bracis-28348	307	4	nature	nature	NOUN