id	sid	tid	token	lemma	pos
6m311n8249t	1	1	predicting	predict	VERB
6m311n8249t	1	2	effective	effective	ADJ
6m311n8249t	1	3	material	material	NOUN
6m311n8249t	1	4	properties	property	NOUN
6m311n8249t	1	5	of	of	ADP
6m311n8249t	1	6	nonlinear	nonlinear	ADJ
6m311n8249t	1	7	heterogeneous	heterogeneous	ADJ
6m311n8249t	1	8	materials	material	NOUN
6m311n8249t	1	9	from	from	ADP
6m311n8249t	1	10	the	the	DET
6m311n8249t	1	11	knowledge	knowledge	NOUN
6m311n8249t	1	12	of	of	ADP
6m311n8249t	1	13	its	its	PRON
6m311n8249t	1	14	microstructure	microstructure	NOUN
6m311n8249t	1	15	through	through	ADP
6m311n8249t	1	16	numerical	numerical	ADJ
6m311n8249t	1	17	modeling	modeling	NOUN
6m311n8249t	1	18	and	and	CCONJ
6m311n8249t	1	19	computational	computational	ADJ
6m311n8249t	1	20	homogenization	homogenization	NOUN
6m311n8249t	1	21	(	(	PUNCT
6m311n8249t	1	22	ch	ch	PROPN
6m311n8249t	1	23	)	)	PUNCT
6m311n8249t	1	24	has	have	VERB
6m311n8249t	1	25	many	many	ADJ
6m311n8249t	1	26	applications	application	NOUN
6m311n8249t	1	27	in	in	ADP
6m311n8249t	1	28	engineering	engineering	NOUN
6m311n8249t	1	29	design	design	NOUN
6m311n8249t	1	30	.	.	PUNCT
6m311n8249t	2	1	direct	direct	ADJ
6m311n8249t	2	2	numerical	numerical	ADJ
6m311n8249t	2	3	modeling	modeling	NOUN
6m311n8249t	2	4	(	(	PUNCT
6m311n8249t	2	5	dnm	dnm	PROPN
6m311n8249t	2	6	)	)	PUNCT
6m311n8249t	2	7	using	use	VERB
6m311n8249t	2	8	finite	finite	NOUN
6m311n8249t	2	9	element	element	NOUN
6m311n8249t	2	10	method	method	NOUN
6m311n8249t	2	11	(	(	PUNCT
6m311n8249t	2	12	fem	fem	PROPN
6m311n8249t	2	13	)	)	PUNCT
6m311n8249t	2	14	is	be	AUX
6m311n8249t	2	15	capable	capable	ADJ
6m311n8249t	2	16	of	of	ADP
6m311n8249t	2	17	predicting	predict	VERB
6m311n8249t	2	18	material	material	ADJ
6m311n8249t	2	19	behavior	behavior	NOUN
6m311n8249t	2	20	accurately	accurately	ADV
6m311n8249t	2	21	.	.	PUNCT
6m311n8249t	3	1	unfortunately	unfortunately	ADV
6m311n8249t	3	2	,	,	PUNCT
6m311n8249t	3	3	dnm	dnm	PROPN
6m311n8249t	3	4	and/or	and/or	CCONJ
6m311n8249t	3	5	ch	ch	NOUN
6m311n8249t	3	6	are	be	AUX
6m311n8249t	3	7	computationally	computationally	ADV
6m311n8249t	3	8	expensive	expensive	ADJ
6m311n8249t	3	9	methods	method	NOUN
6m311n8249t	3	10	.	.	PUNCT
6m311n8249t	4	1	to	to	PART
6m311n8249t	4	2	address	address	VERB
6m311n8249t	4	3	the	the	DET
6m311n8249t	4	4	computational	computational	ADJ
6m311n8249t	4	5	complexity	complexity	NOUN
6m311n8249t	4	6	issue	issue	NOUN
6m311n8249t	4	7	,	,	PUNCT
6m311n8249t	4	8	many	many	ADJ
6m311n8249t	4	9	researchers	researcher	NOUN
6m311n8249t	4	10	have	have	AUX
6m311n8249t	4	11	focused	focus	VERB
6m311n8249t	4	12	on	on	ADP
6m311n8249t	4	13	reduced	reduce	VERB
6m311n8249t	4	14	order	order	NOUN
6m311n8249t	4	15	modeling	modeling	NOUN
6m311n8249t	4	16	.	.	PUNCT
6m311n8249t	5	1	however	however	ADV
6m311n8249t	5	2	,	,	PUNCT
6m311n8249t	5	3	most	most	ADJ
6m311n8249t	5	4	of	of	ADP
6m311n8249t	5	5	the	the	DET
6m311n8249t	5	6	available	available	ADJ
6m311n8249t	5	7	schemes	scheme	NOUN
6m311n8249t	5	8	are	be	AUX
6m311n8249t	5	9	only	only	ADV
6m311n8249t	5	10	suited	suited	ADJ
6m311n8249t	5	11	for	for	ADP
6m311n8249t	5	12	linear	linear	ADJ
6m311n8249t	5	13	and	and	CCONJ
6m311n8249t	5	14	moderately	moderately	ADV
6m311n8249t	5	15	nonlinear	nonlinear	ADJ
6m311n8249t	5	16	behavior	behavior	NOUN
6m311n8249t	5	17	in	in	ADP
6m311n8249t	5	18	2d	2d	NOUN
6m311n8249t	5	19	setting	setting	NOUN
6m311n8249t	5	20	.	.	PUNCT
6m311n8249t	6	1	moreover	moreover	ADV
6m311n8249t	6	2	,	,	PUNCT
6m311n8249t	6	3	these	these	DET
6m311n8249t	6	4	techniques	technique	NOUN
6m311n8249t	6	5	do	do	AUX
6m311n8249t	6	6	not	not	PART
6m311n8249t	6	7	preserve	preserve	VERB
6m311n8249t	6	8	local	local	ADJ
6m311n8249t	6	9	micro	micro	ADJ
6m311n8249t	6	10	-	-	ADJ
6m311n8249t	6	11	scale	scale	ADJ
6m311n8249t	6	12	fields	field	NOUN
6m311n8249t	6	13	in	in	ADP
6m311n8249t	6	14	localization	localization	NOUN
6m311n8249t	6	15	processes	process	NOUN
6m311n8249t	6	16	and	and	CCONJ
6m311n8249t	6	17	can	can	AUX
6m311n8249t	6	18	not	not	PART
6m311n8249t	6	19	accommodate	accommodate	VERB
6m311n8249t	6	20	generic	generic	ADJ
6m311n8249t	6	21	loading	loading	NOUN
6m311n8249t	6	22	conditions	condition	NOUN
6m311n8249t	6	23	.	.	PUNCT
6m311n8249t	7	1	addressing	address	VERB
6m311n8249t	7	2	these	these	DET
6m311n8249t	7	3	shortcomings	shortcoming	NOUN
6m311n8249t	7	4	,	,	PUNCT
6m311n8249t	7	5	this	this	DET
6m311n8249t	7	6	doctoral	doctoral	ADJ
6m311n8249t	7	7	work	work	NOUN
6m311n8249t	7	8	presents	present	VERB
6m311n8249t	7	9	a	a	DET
6m311n8249t	7	10	robust	robust	ADJ
6m311n8249t	7	11	reduced	reduce	VERB
6m311n8249t	7	12	order	order	NOUN
6m311n8249t	7	13	modeling	modeling	NOUN
6m311n8249t	7	14	technique	technique	NOUN
6m311n8249t	7	15	for	for	ADP
6m311n8249t	7	16	heterogeneous	heterogeneous	ADJ
6m311n8249t	7	17	materials	material	NOUN
6m311n8249t	7	18	with	with	ADP
6m311n8249t	7	19	nonlinear	nonlinear	ADJ
6m311n8249t	7	20	hyper	hyper	ADJ
6m311n8249t	7	21	-	-	ADJ
6m311n8249t	7	22	elastic	elastic	ADJ
6m311n8249t	7	23	constitutive	constitutive	ADJ
6m311n8249t	7	24	behavior	behavior	NOUN
6m311n8249t	7	25	in	in	ADP
6m311n8249t	7	26	a	a	DET
6m311n8249t	7	27	finite	finite	ADJ
6m311n8249t	7	28	strain	strain	NOUN
6m311n8249t	7	29	setting	set	VERB
6m311n8249t	7	30	.	.	PUNCT
6m311n8249t	8	1	the	the	DET
6m311n8249t	8	2	model	model	NOUN
6m311n8249t	8	3	is	be	AUX
6m311n8249t	8	4	not	not	PART
6m311n8249t	8	5	only	only	ADV
6m311n8249t	8	6	capable	capable	ADJ
6m311n8249t	8	7	of	of	ADP
6m311n8249t	8	8	predicting	predict	VERB
6m311n8249t	8	9	homogenized	homogenize	VERB
6m311n8249t	8	10	(	(	PUNCT
6m311n8249t	8	11	overall	overall	ADJ
6m311n8249t	8	12	)	)	PUNCT
6m311n8249t	8	13	material	material	NOUN
6m311n8249t	8	14	properties	property	NOUN
6m311n8249t	8	15	,	,	PUNCT
6m311n8249t	8	16	but	but	CCONJ
6m311n8249t	8	17	also	also	ADV
6m311n8249t	8	18	recovers	recover	VERB
6m311n8249t	8	19	the	the	DET
6m311n8249t	8	20	micro	micro	NOUN
6m311n8249t	8	21	-	-	NOUN
6m311n8249t	8	22	fields	field	NOUN
6m311n8249t	8	23	(	(	PUNCT
6m311n8249t	8	24	i.e.	i.e.	X
6m311n8249t	8	25	,	,	PUNCT
6m311n8249t	8	26	the	the	DET
6m311n8249t	8	27	local	local	ADJ
6m311n8249t	8	28	deformation	deformation	NOUN
6m311n8249t	8	29	gradients	gradient	NOUN
6m311n8249t	8	30	)	)	PUNCT
6m311n8249t	8	31	with	with	ADP
6m311n8249t	8	32	acceptable	acceptable	ADJ
6m311n8249t	8	33	accuracy	accuracy	NOUN
6m311n8249t	8	34	.	.	PUNCT
6m311n8249t	9	1	in	in	ADP
6m311n8249t	9	2	the	the	DET
6m311n8249t	9	3	present	present	ADJ
6m311n8249t	9	4	work	work	NOUN
6m311n8249t	9	5	,	,	PUNCT
6m311n8249t	9	6	a	a	DET
6m311n8249t	9	7	novel	novel	NOUN
6m311n8249t	9	8	manifold	manifold	ADJ
6m311n8249t	9	9	based	base	VERB
6m311n8249t	9	10	reduced	reduce	VERB
6m311n8249t	9	11	order	order	NOUN
6m311n8249t	9	12	model	model	NOUN
6m311n8249t	9	13	has	have	AUX
6m311n8249t	9	14	been	be	AUX
6m311n8249t	9	15	developed	develop	VERB
6m311n8249t	9	16	for	for	ADP
6m311n8249t	9	17	nonlinear	nonlinear	ADJ
6m311n8249t	9	18	hyperelastic	hyperelastic	ADJ
6m311n8249t	9	19	materials	material	NOUN
6m311n8249t	9	20	utilizing	utilize	VERB
6m311n8249t	9	21	advanced	advanced	ADJ
6m311n8249t	9	22	machine	machine	NOUN
6m311n8249t	9	23	learning	learn	VERB
6m311n8249t	9	24	techniques	technique	NOUN
6m311n8249t	9	25	.	.	PUNCT
6m311n8249t	10	1	this	this	DET
6m311n8249t	10	2	data	data	NOUN
6m311n8249t	10	3	-	-	PUNCT
6m311n8249t	10	4	driven	drive	VERB
6m311n8249t	10	5	model	model	NOUN
6m311n8249t	10	6	can	can	AUX
6m311n8249t	10	7	perform	perform	VERB
6m311n8249t	10	8	well	well	ADV
6m311n8249t	10	9	in	in	ADP
6m311n8249t	10	10	comparison	comparison	NOUN
6m311n8249t	10	11	with	with	ADP
6m311n8249t	10	12	traditional	traditional	ADJ
6m311n8249t	10	13	ch.proposed	ch.propose	VERB
6m311n8249t	10	14	technique	technique	NOUN
6m311n8249t	10	15	extracts	extract	VERB
6m311n8249t	10	16	the	the	DET
6m311n8249t	10	17	pattern	pattern	NOUN
6m311n8249t	10	18	in	in	ADP
6m311n8249t	10	19	the	the	DET
6m311n8249t	10	20	solution	solution	NOUN
6m311n8249t	10	21	manifold	manifold	ADJ
6m311n8249t	10	22	,	,	PUNCT
6m311n8249t	10	23	which	which	PRON
6m311n8249t	10	24	consists	consist	VERB
6m311n8249t	10	25	of	of	ADP
6m311n8249t	10	26	an	an	DET
6m311n8249t	10	27	ordered	order	VERB
6m311n8249t	10	28	set	set	NOUN
6m311n8249t	10	29	of	of	ADP
6m311n8249t	10	30	microscale	microscale	ADJ
6m311n8249t	10	31	deformation	deformation	NOUN
6m311n8249t	10	32	fields	field	NOUN
6m311n8249t	10	33	.	.	PUNCT
6m311n8249t	11	1	each	each	DET
6m311n8249t	11	2	point	point	NOUN
6m311n8249t	11	3	on	on	ADP
6m311n8249t	11	4	the	the	DET
6m311n8249t	11	5	manifold	manifold	ADJ
6m311n8249t	11	6	represents	represent	VERB
6m311n8249t	11	7	data	datum	NOUN
6m311n8249t	11	8	obtained	obtain	VERB
6m311n8249t	11	9	from	from	ADP
6m311n8249t	11	10	a	a	DET
6m311n8249t	11	11	detailed	detailed	ADJ
6m311n8249t	11	12	parallel	parallel	ADJ
6m311n8249t	11	13	finite	finite	NOUN
6m311n8249t	11	14	element	element	NOUN
6m311n8249t	11	15	simulation	simulation	NOUN
6m311n8249t	11	16	of	of	ADP
6m311n8249t	11	17	a	a	DET
6m311n8249t	11	18	representative	representative	ADJ
6m311n8249t	11	19	microstructure	microstructure	NOUN
6m311n8249t	11	20	.	.	PUNCT
6m311n8249t	12	1	since	since	SCONJ
6m311n8249t	12	2	essential	essential	ADJ
6m311n8249t	12	3	micro	micro	NOUN
6m311n8249t	12	4	-	-	NOUN
6m311n8249t	12	5	fields	field	NOUN
6m311n8249t	12	6	are	be	AUX
6m311n8249t	12	7	invariant	invariant	ADJ
6m311n8249t	12	8	of	of	ADP
6m311n8249t	12	9	macro	macro	NOUN
6m311n8249t	12	10	-	-	NOUN
6m311n8249t	12	11	rotations	rotation	NOUN
6m311n8249t	12	12	,	,	PUNCT
6m311n8249t	12	13	the	the	DET
6m311n8249t	12	14	parameter	parameter	NOUN
6m311n8249t	12	15	space	space	NOUN
6m311n8249t	12	16	is	be	AUX
6m311n8249t	12	17	created	create	VERB
6m311n8249t	12	18	based	base	VERB
6m311n8249t	12	19	on	on	ADP
6m311n8249t	12	20	the	the	DET
6m311n8249t	12	21	macro	macro	ADJ
6m311n8249t	12	22	-	-	NOUN
6m311n8249t	12	23	scale	scale	ADJ
6m311n8249t	12	24	stretch	stretch	NOUN
6m311n8249t	12	25	tensor	tensor	NOUN
6m311n8249t	12	26	,	,	PUNCT
6m311n8249t	12	27	which	which	PRON
6m311n8249t	12	28	is	be	AUX
6m311n8249t	12	29	parameterized	parameterize	VERB
6m311n8249t	12	30	by	by	ADP
6m311n8249t	12	31	three	three	NUM
6m311n8249t	12	32	principal	principal	ADJ
6m311n8249t	12	33	stretches	stretch	NOUN
6m311n8249t	12	34	and	and	CCONJ
6m311n8249t	12	35	three	three	NUM
6m311n8249t	12	36	rotation	rotation	NOUN
6m311n8249t	12	37	parameters	parameter	NOUN
6m311n8249t	12	38	which	which	PRON
6m311n8249t	12	39	represent	represent	VERB
6m311n8249t	12	40	the	the	DET
6m311n8249t	12	41	corresponding	corresponding	ADJ
6m311n8249t	12	42	principal	principal	ADJ
6m311n8249t	12	43	directions	direction	NOUN
6m311n8249t	12	44	.	.	PUNCT
6m311n8249t	13	1	this	this	DET
6m311n8249t	13	2	parametrization	parametrization	NOUN
6m311n8249t	13	3	leads	lead	VERB
6m311n8249t	13	4	to	to	ADP
6m311n8249t	13	5	a	a	DET
6m311n8249t	13	6	6	6	NUM
6m311n8249t	13	7	-	-	PUNCT
6m311n8249t	13	8	dimensional	dimensional	ADJ
6m311n8249t	13	9	loading	loading	NOUN
6m311n8249t	13	10	space	space	NOUN
6m311n8249t	13	11	.	.	PUNCT
6m311n8249t	14	1	also	also	ADV
6m311n8249t	14	2	a	a	DET
6m311n8249t	14	3	novel	novel	ADJ
6m311n8249t	14	4	pattern	pattern	NOUN
6m311n8249t	14	5	/	/	SYM
6m311n8249t	14	6	physics	physics	NOUN
6m311n8249t	14	7	based	base	VERB
6m311n8249t	14	8	sampling	sampling	NOUN
6m311n8249t	14	9	strategy	strategy	NOUN
6m311n8249t	14	10	has	have	AUX
6m311n8249t	14	11	been	be	AUX
6m311n8249t	14	12	introduced	introduce	VERB
6m311n8249t	14	13	to	to	PART
6m311n8249t	14	14	construct	construct	VERB
6m311n8249t	14	15	a	a	DET
6m311n8249t	14	16	representative	representative	ADJ
6m311n8249t	14	17	solution	solution	NOUN
6m311n8249t	14	18	manifold	manifold	ADJ
6m311n8249t	14	19	with	with	ADP
6m311n8249t	14	20	a	a	DET
6m311n8249t	14	21	few	few	ADJ
6m311n8249t	14	22	number	number	NOUN
6m311n8249t	14	23	of	of	ADP
6m311n8249t	14	24	simulations	simulation	NOUN
6m311n8249t	14	25	.	.	PUNCT
6m311n8249t	15	1	this	this	DET
6m311n8249t	15	2	graph	graph	NOUN
6m311n8249t	15	3	-	-	PUNCT
6m311n8249t	15	4	based	base	VERB
6m311n8249t	15	5	technique	technique	NOUN
6m311n8249t	15	6	essentially	essentially	ADV
6m311n8249t	15	7	explores	explore	VERB
6m311n8249t	15	8	the	the	DET
6m311n8249t	15	9	rotational	rotational	ADJ
6m311n8249t	15	10	(	(	PUNCT
6m311n8249t	15	11	principal	principal	ADJ
6m311n8249t	15	12	direction	direction	NOUN
6m311n8249t	15	13	)	)	PUNCT
6m311n8249t	15	14	sensitivity	sensitivity	NOUN
6m311n8249t	15	15	(	(	PUNCT
6m311n8249t	15	16	in	in	ADP
6m311n8249t	15	17	terms	term	NOUN
6m311n8249t	15	18	of	of	ADP
6m311n8249t	15	19	an	an	DET
6m311n8249t	15	20	approximate	approximate	ADJ
6m311n8249t	15	21	diameter	diameter	NOUN
6m311n8249t	15	22	of	of	ADP
6m311n8249t	15	23	the	the	DET
6m311n8249t	15	24	submanifold	submanifold	NOUN
6m311n8249t	15	25	)	)	PUNCT
6m311n8249t	15	26	of	of	ADP
6m311n8249t	15	27	the	the	DET
6m311n8249t	15	28	principal	principal	ADJ
6m311n8249t	15	29	stretch	stretch	NOUN
6m311n8249t	15	30	vector	vector	NOUN
6m311n8249t	15	31	with	with	ADP
6m311n8249t	15	32	a	a	DET
6m311n8249t	15	33	few	few	ADJ
6m311n8249t	15	34	number	number	NOUN
6m311n8249t	15	35	of	of	ADP
6m311n8249t	15	36	fe	fe	PROPN
6m311n8249t	15	37	solutions	solution	NOUN
6m311n8249t	15	38	and	and	CCONJ
6m311n8249t	15	39	guides	guide	NOUN
6m311n8249t	15	40	to	to	PART
6m311n8249t	15	41	achieve	achieve	VERB
6m311n8249t	15	42	a	a	DET
6m311n8249t	15	43	representative	representative	ADJ
6m311n8249t	15	44	hd	hd	NOUN
6m311n8249t	15	45	manifold	manifold	ADJ
6m311n8249t	15	46	by	by	ADP
6m311n8249t	15	47	eliminating	eliminate	VERB
6m311n8249t	15	48	the	the	DET
6m311n8249t	15	49	redundant	redundant	ADJ
6m311n8249t	15	50	expensive	expensive	ADJ
6m311n8249t	15	51	simulations	simulation	NOUN
6m311n8249t	15	52	.	.	PUNCT
6m311n8249t	16	1	in	in	ADP
6m311n8249t	16	2	this	this	DET
6m311n8249t	16	3	work	work	NOUN
6m311n8249t	16	4	,	,	PUNCT
6m311n8249t	16	5	a	a	DET
6m311n8249t	16	6	global	global	ADJ
6m311n8249t	16	7	dimension	dimension	NOUN
6m311n8249t	16	8	reduction	reduction	NOUN
6m311n8249t	16	9	technique	technique	NOUN
6m311n8249t	16	10	,	,	PUNCT
6m311n8249t	16	11	isomap	isomap	PROPN
6m311n8249t	16	12	,	,	PUNCT
6m311n8249t	16	13	is	be	AUX
6m311n8249t	16	14	used	use	VERB
6m311n8249t	16	15	to	to	PART
6m311n8249t	16	16	understand	understand	VERB
6m311n8249t	16	17	the	the	DET
6m311n8249t	16	18	underlying	underlying	ADJ
6m311n8249t	16	19	pattern	pattern	NOUN
6m311n8249t	16	20	of	of	ADP
6m311n8249t	16	21	the	the	DET
6m311n8249t	16	22	submanifolds	submanifold	NOUN
6m311n8249t	16	23	.	.	PUNCT
6m311n8249t	17	1	isomap	isomap	PROPN
6m311n8249t	17	2	returns	return	VERB
6m311n8249t	17	3	a	a	DET
6m311n8249t	17	4	reduced	reduce	VERB
6m311n8249t	17	5	low	low	ADJ
6m311n8249t	17	6	-	-	PUNCT
6m311n8249t	17	7	dimensional	dimensional	ADJ
6m311n8249t	17	8	euclidean	euclidean	ADJ
6m311n8249t	17	9	space	space	NOUN
6m311n8249t	17	10	which	which	PRON
6m311n8249t	17	11	approximately	approximately	ADV
6m311n8249t	17	12	unfolds	unfold	VERB
6m311n8249t	17	13	the	the	DET
6m311n8249t	17	14	hd	hd	NOUN
6m311n8249t	17	15	manifold	manifold	ADJ
6m311n8249t	17	16	by	by	ADP
6m311n8249t	17	17	preserving	preserve	VERB
6m311n8249t	17	18	the	the	DET
6m311n8249t	17	19	geodesic	geodesic	ADJ
6m311n8249t	17	20	distances	distance	NOUN
6m311n8249t	17	21	.	.	PUNCT
6m311n8249t	18	1	next	next	ADV
6m311n8249t	18	2	,	,	PUNCT
6m311n8249t	18	3	a	a	DET
6m311n8249t	18	4	map	map	NOUN
6m311n8249t	18	5	between	between	ADP
6m311n8249t	18	6	the	the	DET
6m311n8249t	18	7	reduced	reduce	VERB
6m311n8249t	18	8	space	space	NOUN
6m311n8249t	18	9	and	and	CCONJ
6m311n8249t	18	10	the	the	DET
6m311n8249t	18	11	macroscopic	macroscopic	ADJ
6m311n8249t	18	12	loading	loading	NOUN
6m311n8249t	18	13	conditions	condition	NOUN
6m311n8249t	18	14	has	have	AUX
6m311n8249t	18	15	been	be	AUX
6m311n8249t	18	16	established	establish	VERB
6m311n8249t	18	17	using	use	VERB
6m311n8249t	18	18	a	a	DET
6m311n8249t	18	19	neural	neural	ADJ
6m311n8249t	18	20	network	network	NOUN
6m311n8249t	18	21	.	.	PUNCT
6m311n8249t	19	1	finally	finally	ADV
6m311n8249t	19	2	,	,	PUNCT
6m311n8249t	19	3	the	the	DET
6m311n8249t	19	4	micro	micro	ADJ
6m311n8249t	19	5	-	-	ADJ
6m311n8249t	19	6	scale	scale	ADJ
6m311n8249t	19	7	deformation	deformation	NOUN
6m311n8249t	19	8	field	field	NOUN
6m311n8249t	19	9	is	be	AUX
6m311n8249t	19	10	obtained	obtain	VERB
6m311n8249t	19	11	through	through	ADP
6m311n8249t	19	12	a	a	DET
6m311n8249t	19	13	nonparametric	nonparametric	NOUN
6m311n8249t	19	14	regression	regression	NOUN
6m311n8249t	19	15	model	model	NOUN
6m311n8249t	19	16	by	by	ADP
6m311n8249t	19	17	exploiting	exploit	VERB
6m311n8249t	19	18	the	the	DET
6m311n8249t	19	19	concept	concept	NOUN
6m311n8249t	19	20	of	of	ADP
6m311n8249t	19	21	reproducing	reproduce	VERB
6m311n8249t	19	22	kernel	kernel	PROPN
6m311n8249t	19	23	hilbert	hilbert	PROPN
6m311n8249t	19	24	space	space	NOUN
6m311n8249t	19	25	(	(	PUNCT
6m311n8249t	19	26	rkhs	rkhs	PROPN
6m311n8249t	19	27	)	)	PUNCT
6m311n8249t	19	28	.	.	PUNCT
6m311n8249t	20	1	this	this	DET
6m311n8249t	20	2	novel	novel	ADJ
6m311n8249t	20	3	reduced	reduce	VERB
6m311n8249t	20	4	order	order	NOUN
6m311n8249t	20	5	model	model	NOUN
6m311n8249t	20	6	is	be	AUX
6m311n8249t	20	7	able	able	ADJ
6m311n8249t	20	8	to	to	PART
6m311n8249t	20	9	predict	predict	VERB
6m311n8249t	20	10	the	the	DET
6m311n8249t	20	11	macro	macro	NOUN
6m311n8249t	20	12	-	-	NOUN
6m311n8249t	20	13	scale	scale	NOUN
6m311n8249t	20	14	as	as	ADV
6m311n8249t	20	15	well	well	ADV
6m311n8249t	20	16	as	as	ADP
6m311n8249t	20	17	micro	micro	ADJ
6m311n8249t	20	18	-	-	ADJ
6m311n8249t	20	19	scale	scale	ADJ
6m311n8249t	20	20	deformation	deformation	NOUN
6m311n8249t	20	21	field	field	NOUN
6m311n8249t	20	22	for	for	ADP
6m311n8249t	20	23	any	any	DET
6m311n8249t	20	24	unknown	unknown	ADJ
6m311n8249t	20	25	loading	loading	NOUN
6m311n8249t	20	26	condition	condition	NOUN
6m311n8249t	20	27	without	without	ADP
6m311n8249t	20	28	any	any	DET
6m311n8249t	20	29	expensive	expensive	ADJ
6m311n8249t	20	30	simulation	simulation	NOUN
6m311n8249t	20	31	.	.	PUNCT
6m311n8249t	21	1	furthermore	furthermore	ADV
6m311n8249t	21	2	,	,	PUNCT
6m311n8249t	21	3	this	this	DET
6m311n8249t	21	4	model	model	NOUN
6m311n8249t	21	5	potentially	potentially	ADV
6m311n8249t	21	6	can	can	AUX
6m311n8249t	21	7	accelerate	accelerate	VERB
6m311n8249t	21	8	the	the	DET
6m311n8249t	21	9	traditional	traditional	ADJ
6m311n8249t	21	10	ch	ch	NOUN
6m311n8249t	21	11	by	by	ADP
6m311n8249t	21	12	providing	provide	VERB
6m311n8249t	21	13	an	an	DET
6m311n8249t	21	14	initial	initial	ADJ
6m311n8249t	21	15	solution	solution	NOUN
6m311n8249t	21	16	vector	vector	NOUN
6m311n8249t	21	17	.	.	PUNCT