id	sid	tid	token	lemma	pos
app01-10213	1	1	acta	acta	PROPN
app01-10213	1	2	polytechnica	polytechnica	PROPN
app01-10213	1	3	ctu	ctu	NOUN
app01-10213	1	4	proceedings	proceeding	NOUN
app01-10213	1	5	https://doi.org/10.14311/app.2024.49.0077	https://doi.org/10.14311/app.2024.49.0077	PROPN
app01-10213	1	6	acta	acta	PROPN
app01-10213	1	7	polytechnica	polytechnica	PROPN
app01-10213	1	8	ctu	ctu	NOUN
app01-10213	1	9	proceedings	proceeding	NOUN
app01-10213	1	10	49:77–84	49:77–84	NOUN
app01-10213	1	11	,	,	PUNCT
app01-10213	1	12	2024	2024	NUM
app01-10213	1	13	©	©	ADP
app01-10213	1	14	2024	2024	NUM
app01-10213	1	15	the	the	DET
app01-10213	1	16	author(s	author(s	NOUN
app01-10213	1	17	)	)	PUNCT
app01-10213	1	18	.	.	PUNCT
app01-10213	2	1	licensed	license	VERB
app01-10213	2	2	under	under	ADP
app01-10213	2	3	a	a	DET
app01-10213	2	4	cc	cc	NOUN
app01-10213	2	5	-	-	PUNCT
app01-10213	2	6	by	by	ADP
app01-10213	2	7	4.0	4.0	NUM
app01-10213	2	8	licence	licence	NOUN
app01-10213	2	9	published	publish	VERB
app01-10213	2	10	by	by	ADP
app01-10213	2	11	the	the	DET
app01-10213	2	12	czech	czech	PROPN
app01-10213	2	13	technical	technical	PROPN
app01-10213	2	14	university	university	PROPN
app01-10213	2	15	in	in	ADP
app01-10213	2	16	prague	prague	PROPN
app01-10213	2	17	image	image	NOUN
app01-10213	2	18	-	-	PUNCT
app01-10213	2	19	based	base	VERB
app01-10213	2	20	random	random	ADJ
app01-10213	2	21	fields	field	NOUN
app01-10213	2	22	in	in	ADP
app01-10213	2	23	numerical	numerical	ADJ
app01-10213	2	24	modeling	modeling	NOUN
app01-10213	2	25	of	of	ADP
app01-10213	2	26	heterogeneous	heterogeneous	ADJ
app01-10213	2	27	materials	material	NOUN
app01-10213	2	28	david	david	PROPN
app01-10213	2	29	šilhánek	šilhánek	PROPN
app01-10213	2	30	,	,	PUNCT
app01-10213	2	31	jan	jan	PROPN
app01-10213	2	32	sýkora∗	sýkora∗	PROPN
app01-10213	2	33	czech	czech	PROPN
app01-10213	2	34	technical	technical	PROPN
app01-10213	2	35	university	university	PROPN
app01-10213	2	36	in	in	ADP
app01-10213	2	37	prague	prague	PROPN
app01-10213	2	38	,	,	PUNCT
app01-10213	2	39	faculty	faculty	NOUN
app01-10213	2	40	of	of	ADP
app01-10213	2	41	civil	civil	ADJ
app01-10213	2	42	engineering	engineering	NOUN
app01-10213	2	43	,	,	PUNCT
app01-10213	2	44	department	department	NOUN
app01-10213	2	45	of	of	ADP
app01-10213	2	46	mechanics	mechanic	NOUN
app01-10213	2	47	,	,	PUNCT
app01-10213	2	48	thákurova	thákurova	X
app01-10213	2	49	7	7	NUM
app01-10213	2	50	,	,	PUNCT
app01-10213	2	51	160	160	NUM
app01-10213	2	52	00	00	NUM
app01-10213	2	53	prague	prague	PROPN
app01-10213	2	54	,	,	PUNCT
app01-10213	2	55	czech	czech	PROPN
app01-10213	2	56	republic	republic	NOUN
app01-10213	2	57	∗	∗	NOUN
app01-10213	2	58	corresponding	correspond	VERB
app01-10213	2	59	author	author	NOUN
app01-10213	2	60	:	:	PUNCT
app01-10213	2	61	jan.sykora.1@fsv.cvut.cz	jan.sykora.1@fsv.cvut.cz	NOUN
app01-10213	2	62	abstract	abstract	ADJ
app01-10213	2	63	.	.	PUNCT
app01-10213	3	1	modeling	modeling	NOUN
app01-10213	3	2	of	of	ADP
app01-10213	3	3	spatial	spatial	ADJ
app01-10213	3	4	variability	variability	NOUN
app01-10213	3	5	using	use	VERB
app01-10213	3	6	random	random	ADJ
app01-10213	3	7	fields	field	NOUN
app01-10213	3	8	is	be	AUX
app01-10213	3	9	nowadays	nowadays	ADV
app01-10213	3	10	standard	standard	ADJ
app01-10213	3	11	in	in	ADP
app01-10213	3	12	computational	computational	ADJ
app01-10213	3	13	modeling	modeling	NOUN
app01-10213	3	14	of	of	ADP
app01-10213	3	15	heterogeneous	heterogeneous	ADJ
app01-10213	3	16	materials	material	NOUN
app01-10213	3	17	.	.	PUNCT
app01-10213	4	1	the	the	DET
app01-10213	4	2	only	only	ADJ
app01-10213	4	3	difficulty	difficulty	NOUN
app01-10213	4	4	remains	remain	VERB
app01-10213	4	5	in	in	ADP
app01-10213	4	6	determining	determine	VERB
app01-10213	4	7	the	the	DET
app01-10213	4	8	input	input	NOUN
app01-10213	4	9	parameters	parameter	NOUN
app01-10213	4	10	of	of	ADP
app01-10213	4	11	the	the	DET
app01-10213	4	12	random	random	ADJ
app01-10213	4	13	field	field	NOUN
app01-10213	4	14	in	in	ADP
app01-10213	4	15	order	order	NOUN
app01-10213	4	16	to	to	PART
app01-10213	4	17	represent	represent	VERB
app01-10213	4	18	the	the	DET
app01-10213	4	19	modeled	model	VERB
app01-10213	4	20	material	material	NOUN
app01-10213	4	21	morphology	morphology	NOUN
app01-10213	4	22	as	as	ADV
app01-10213	4	23	accurately	accurately	ADV
app01-10213	4	24	as	as	ADP
app01-10213	4	25	possible	possible	ADJ
app01-10213	4	26	.	.	PUNCT
app01-10213	5	1	the	the	DET
app01-10213	5	2	most	most	ADV
app01-10213	5	3	frequent	frequent	ADJ
app01-10213	5	4	method	method	NOUN
app01-10213	5	5	of	of	ADP
app01-10213	5	6	constructing	construct	VERB
app01-10213	5	7	a	a	DET
app01-10213	5	8	random	random	ADJ
app01-10213	5	9	field	field	NOUN
app01-10213	5	10	relies	rely	VERB
app01-10213	5	11	on	on	ADP
app01-10213	5	12	various	various	ADJ
app01-10213	5	13	covariance	covariance	NOUN
app01-10213	5	14	kernels	kernel	NOUN
app01-10213	5	15	that	that	PRON
app01-10213	5	16	primarily	primarily	ADV
app01-10213	5	17	use	use	VERB
app01-10213	5	18	as	as	SCONJ
app01-10213	5	19	input	input	NOUN
app01-10213	5	20	the	the	DET
app01-10213	5	21	values	value	NOUN
app01-10213	5	22	of	of	ADP
app01-10213	5	23	the	the	DET
app01-10213	5	24	correlation	correlation	NOUN
app01-10213	5	25	lengths	length	NOUN
app01-10213	5	26	,	,	PUNCT
app01-10213	5	27	which	which	PRON
app01-10213	5	28	are	be	AUX
app01-10213	5	29	typically	typically	ADV
app01-10213	5	30	estimated	estimate	VERB
app01-10213	5	31	ad	ad	NOUN
app01-10213	5	32	-	-	PUNCT
app01-10213	5	33	hoc	hoc	X
app01-10213	5	34	.	.	PUNCT
app01-10213	6	1	however	however	ADV
app01-10213	6	2	,	,	PUNCT
app01-10213	6	3	another	another	DET
app01-10213	6	4	possibility	possibility	NOUN
app01-10213	6	5	is	be	AUX
app01-10213	6	6	to	to	PART
app01-10213	6	7	extract	extract	VERB
app01-10213	6	8	input	input	NOUN
app01-10213	6	9	parameters	parameter	NOUN
app01-10213	6	10	from	from	ADP
app01-10213	6	11	the	the	DET
app01-10213	6	12	modeled	model	VERB
app01-10213	6	13	material	material	NOUN
app01-10213	6	14	morphology	morphology	NOUN
app01-10213	6	15	.	.	PUNCT
app01-10213	7	1	moreover	moreover	ADV
app01-10213	7	2	,	,	PUNCT
app01-10213	7	3	this	this	DET
app01-10213	7	4	approach	approach	NOUN
app01-10213	7	5	enables	enable	VERB
app01-10213	7	6	to	to	PART
app01-10213	7	7	calculate	calculate	VERB
app01-10213	7	8	the	the	DET
app01-10213	7	9	covariance	covariance	NOUN
app01-10213	7	10	kernel	kernel	NOUN
app01-10213	7	11	itself	itself	PRON
app01-10213	7	12	.	.	PUNCT
app01-10213	8	1	the	the	DET
app01-10213	8	2	performance	performance	NOUN
app01-10213	8	3	of	of	ADP
app01-10213	8	4	the	the	DET
app01-10213	8	5	image	image	NOUN
app01-10213	8	6	-	-	PUNCT
app01-10213	8	7	based	base	VERB
app01-10213	8	8	procedure	procedure	NOUN
app01-10213	8	9	is	be	AUX
app01-10213	8	10	compared	compare	VERB
app01-10213	8	11	with	with	ADP
app01-10213	8	12	standard	standard	ADJ
app01-10213	8	13	methods	method	NOUN
app01-10213	8	14	of	of	ADP
app01-10213	8	15	random	random	ADJ
app01-10213	8	16	field	field	NOUN
app01-10213	8	17	construction	construction	NOUN
app01-10213	8	18	on	on	ADP
app01-10213	8	19	the	the	DET
app01-10213	8	20	response	response	NOUN
app01-10213	8	21	of	of	ADP
app01-10213	8	22	the	the	DET
app01-10213	8	23	two	two	NUM
app01-10213	8	24	-	-	PUNCT
app01-10213	8	25	phase	phase	NOUN
app01-10213	8	26	elastic	elastic	ADJ
app01-10213	8	27	material	material	NOUN
app01-10213	8	28	.	.	PUNCT
app01-10213	9	1	keywords	keyword	NOUN
app01-10213	9	2	:	:	PUNCT
app01-10213	9	3	karhunen	karhunen	NOUN
app01-10213	9	4	-	-	PUNCT
app01-10213	9	5	loève	loève	NOUN
app01-10213	9	6	expansion	expansion	NOUN
app01-10213	9	7	,	,	PUNCT
app01-10213	9	8	random	random	ADJ
app01-10213	9	9	field	field	NOUN
app01-10213	9	10	,	,	PUNCT
app01-10213	9	11	monte	monte	PROPN
app01-10213	9	12	carlo	carlo	PROPN
app01-10213	9	13	,	,	PUNCT
app01-10213	9	14	two	two	NUM
app01-10213	9	15	-	-	PUNCT
app01-10213	9	16	phase	phase	NOUN
app01-10213	9	17	elastic	elastic	ADJ
app01-10213	9	18	material	material	NOUN
app01-10213	9	19	.	.	PUNCT
app01-10213	10	1	1	1	X
app01-10213	10	2	.	.	X
app01-10213	10	3	introduction	introduction	NOUN
app01-10213	10	4	the	the	DET
app01-10213	10	5	stochastic	stochastic	ADJ
app01-10213	10	6	finite	finite	ADJ
app01-10213	10	7	element	element	NOUN
app01-10213	10	8	method	method	NOUN
app01-10213	10	9	is	be	AUX
app01-10213	10	10	an	an	DET
app01-10213	10	11	extension	extension	NOUN
app01-10213	10	12	of	of	ADP
app01-10213	10	13	the	the	DET
app01-10213	10	14	deterministic	deterministic	ADJ
app01-10213	10	15	finite	finite	PROPN
app01-10213	10	16	element	element	NOUN
app01-10213	10	17	method	method	NOUN
app01-10213	10	18	that	that	PRON
app01-10213	10	19	introduces	introduce	VERB
app01-10213	10	20	randomness	randomness	NOUN
app01-10213	10	21	into	into	ADP
app01-10213	10	22	the	the	DET
app01-10213	10	23	computational	computational	ADJ
app01-10213	10	24	scheme	scheme	NOUN
app01-10213	10	25	,	,	PUNCT
app01-10213	10	26	see	see	VERB
app01-10213	10	27	[	[	X
app01-10213	10	28	1	1	NUM
app01-10213	10	29	,	,	PUNCT
app01-10213	10	30	2	2	NUM
app01-10213	10	31	]	]	PUNCT
app01-10213	10	32	.	.	PUNCT
app01-10213	11	1	mostly	mostly	ADV
app01-10213	11	2	,	,	PUNCT
app01-10213	11	3	the	the	DET
app01-10213	11	4	input	input	NOUN
app01-10213	11	5	parameters	parameter	NOUN
app01-10213	11	6	are	be	AUX
app01-10213	11	7	cast	cast	VERB
app01-10213	11	8	in	in	ADP
app01-10213	11	9	a	a	DET
app01-10213	11	10	probabilistic	probabilistic	ADJ
app01-10213	11	11	setting	setting	NOUN
app01-10213	11	12	,	,	PUNCT
app01-10213	11	13	and	and	CCONJ
app01-10213	11	14	random	random	ADJ
app01-10213	11	15	fields	field	NOUN
app01-10213	11	16	(	(	PUNCT
app01-10213	11	17	see	see	VERB
app01-10213	11	18	[	[	X
app01-10213	11	19	3–5	3–5	NOUN
app01-10213	11	20	]	]	PUNCT
app01-10213	11	21	)	)	PUNCT
app01-10213	11	22	play	play	VERB
app01-10213	11	23	a	a	DET
app01-10213	11	24	crucial	crucial	ADJ
app01-10213	11	25	role	role	NOUN
app01-10213	11	26	in	in	ADP
app01-10213	11	27	this	this	PRON
app01-10213	11	28	because	because	SCONJ
app01-10213	11	29	they	they	PRON
app01-10213	11	30	allow	allow	VERB
app01-10213	11	31	us	we	PRON
app01-10213	11	32	to	to	PART
app01-10213	11	33	incorporate	incorporate	VERB
app01-10213	11	34	randomness	randomness	NOUN
app01-10213	11	35	and	and	CCONJ
app01-10213	11	36	spatial	spatial	ADJ
app01-10213	11	37	variability	variability	NOUN
app01-10213	11	38	.	.	PUNCT
app01-10213	12	1	so	so	ADV
app01-10213	12	2	,	,	PUNCT
app01-10213	12	3	our	our	PRON
app01-10213	12	4	goal	goal	NOUN
app01-10213	12	5	is	be	AUX
app01-10213	12	6	to	to	PART
app01-10213	12	7	investigate	investigate	VERB
app01-10213	12	8	the	the	DET
app01-10213	12	9	efficiency	efficiency	NOUN
app01-10213	12	10	of	of	ADP
app01-10213	12	11	constructing	construct	VERB
app01-10213	12	12	a	a	DET
app01-10213	12	13	random	random	ADJ
app01-10213	12	14	field	field	NOUN
app01-10213	12	15	using	use	VERB
app01-10213	12	16	several	several	ADJ
app01-10213	12	17	different	different	ADJ
app01-10213	12	18	strategies	strategy	NOUN
app01-10213	12	19	on	on	ADP
app01-10213	12	20	the	the	DET
app01-10213	12	21	material	material	NOUN
app01-10213	12	22	response	response	NOUN
app01-10213	12	23	,	,	PUNCT
app01-10213	12	24	which	which	PRON
app01-10213	12	25	is	be	AUX
app01-10213	12	26	here	here	ADV
app01-10213	12	27	represented	represent	VERB
app01-10213	12	28	by	by	ADP
app01-10213	12	29	the	the	DET
app01-10213	12	30	elastic	elastic	ADJ
app01-10213	12	31	problem	problem	NOUN
app01-10213	12	32	of	of	ADP
app01-10213	12	33	the	the	DET
app01-10213	12	34	two	two	NUM
app01-10213	12	35	-	-	PUNCT
app01-10213	12	36	phase	phase	NOUN
app01-10213	12	37	medium	medium	NOUN
app01-10213	12	38	.	.	NOUN
app01-10213	13	1	2	2	X
app01-10213	13	2	.	.	X
app01-10213	13	3	estimation	estimation	NOUN
app01-10213	13	4	of	of	ADP
app01-10213	13	5	the	the	DET
app01-10213	13	6	rve	rve	PROPN
app01-10213	13	7	cell	cell	NOUN
app01-10213	13	8	the	the	DET
app01-10213	13	9	first	first	ADJ
app01-10213	13	10	step	step	NOUN
app01-10213	13	11	in	in	ADP
app01-10213	13	12	our	our	PRON
app01-10213	13	13	work	work	NOUN
app01-10213	13	14	is	be	AUX
app01-10213	13	15	estimating	estimate	VERB
app01-10213	13	16	the	the	DET
app01-10213	13	17	dimensions	dimension	NOUN
app01-10213	13	18	of	of	ADP
app01-10213	13	19	the	the	DET
app01-10213	13	20	representative	representative	ADJ
app01-10213	13	21	volume	volume	NOUN
app01-10213	13	22	element	element	NOUN
app01-10213	13	23	(	(	PUNCT
app01-10213	13	24	rve	rve	PROPN
app01-10213	13	25	)	)	PUNCT
app01-10213	13	26	,	,	PUNCT
app01-10213	13	27	which	which	PRON
app01-10213	13	28	means	mean	VERB
app01-10213	13	29	an	an	DET
app01-10213	13	30	area	area	NOUN
app01-10213	13	31	with	with	ADP
app01-10213	13	32	statistically	statistically	ADV
app01-10213	13	33	homogeneous	homogeneous	ADJ
app01-10213	13	34	properties	property	NOUN
app01-10213	13	35	or	or	CCONJ
app01-10213	13	36	at	at	ADP
app01-10213	13	37	least	least	ADJ
app01-10213	13	38	with	with	ADP
app01-10213	13	39	properties	property	NOUN
app01-10213	13	40	insignificantly	insignificantly	ADV
app01-10213	13	41	affected	affect	VERB
app01-10213	13	42	by	by	ADP
app01-10213	13	43	a	a	DET
app01-10213	13	44	particular	particular	ADJ
app01-10213	13	45	choice	choice	NOUN
app01-10213	13	46	.	.	PUNCT
app01-10213	14	1	let	let	VERB
app01-10213	14	2	us	we	PRON
app01-10213	14	3	consider	consider	VERB
app01-10213	14	4	a	a	DET
app01-10213	14	5	two	two	NUM
app01-10213	14	6	-	-	PUNCT
app01-10213	14	7	dimensional	dimensional	ADJ
app01-10213	14	8	heterogeneous	heterogeneous	ADJ
app01-10213	14	9	composite	composite	ADJ
app01-10213	14	10	material	material	NOUN
app01-10213	14	11	with	with	ADP
app01-10213	14	12	two	two	NUM
app01-10213	14	13	phases	phase	NOUN
app01-10213	14	14	represented	represent	VERB
app01-10213	14	15	by	by	ADP
app01-10213	14	16	an	an	DET
app01-10213	14	17	integer	integer	NOUN
app01-10213	14	18	matrix	matrix	NOUN
app01-10213	14	19	containing	contain	VERB
app01-10213	14	20	only	only	ADV
app01-10213	14	21	0	0	NUM
app01-10213	14	22	(	(	PUNCT
app01-10213	14	23	black	black	ADJ
app01-10213	14	24	color	color	NOUN
app01-10213	14	25	)	)	PUNCT
app01-10213	14	26	and	and	CCONJ
app01-10213	14	27	1	1	NUM
app01-10213	14	28	(	(	PUNCT
app01-10213	14	29	white	white	ADJ
app01-10213	14	30	color	color	NOUN
app01-10213	14	31	)	)	PUNCT
app01-10213	14	32	,	,	PUNCT
app01-10213	14	33	see	see	VERB
app01-10213	14	34	figure	figure	NOUN
app01-10213	14	35	1	1	NUM
app01-10213	14	36	depicting	depict	VERB
app01-10213	14	37	several	several	ADJ
app01-10213	14	38	cut	cut	NOUN
app01-10213	14	39	-	-	PUNCT
app01-10213	14	40	outs	out	NOUN
app01-10213	14	41	of	of	ADP
app01-10213	14	42	the	the	DET
app01-10213	14	43	original	original	ADJ
app01-10213	14	44	medium	medium	NOUN
app01-10213	14	45	.	.	PUNCT
app01-10213	15	1	each	each	DET
app01-10213	15	2	matrix	matrix	NOUN
app01-10213	15	3	member	member	NOUN
app01-10213	15	4	corresponds	correspond	VERB
app01-10213	15	5	to	to	ADP
app01-10213	15	6	one	one	NUM
app01-10213	15	7	pixel	pixel	NOUN
app01-10213	15	8	in	in	ADP
app01-10213	15	9	the	the	DET
app01-10213	15	10	image	image	NOUN
app01-10213	15	11	and	and	CCONJ
app01-10213	15	12	simultaneously	simultaneously	ADV
app01-10213	15	13	to	to	ADP
app01-10213	15	14	one	one	NUM
app01-10213	15	15	rectangular	rectangular	ADJ
app01-10213	15	16	element	element	NOUN
app01-10213	15	17	in	in	ADP
app01-10213	15	18	the	the	DET
app01-10213	15	19	finite	finite	ADJ
app01-10213	15	20	element	element	NOUN
app01-10213	15	21	mesh	mesh	NOUN
app01-10213	15	22	.	.	PUNCT
app01-10213	16	1	the	the	DET
app01-10213	16	2	domain	domain	NOUN
app01-10213	16	3	under	under	ADP
app01-10213	16	4	the	the	DET
app01-10213	16	5	study	study	NOUN
app01-10213	16	6	contains	contain	VERB
app01-10213	16	7	different	different	ADJ
app01-10213	16	8	-	-	PUNCT
app01-10213	16	9	sized	sized	ADJ
app01-10213	16	10	circular	circular	ADJ
app01-10213	16	11	white	white	ADJ
app01-10213	16	12	-	-	PUNCT
app01-10213	16	13	labeled	label	VERB
app01-10213	16	14	inclusions	inclusion	NOUN
app01-10213	16	15	with	with	ADP
app01-10213	16	16	the	the	DET
app01-10213	16	17	following	follow	VERB
app01-10213	16	18	prescribed	prescribe	VERB
app01-10213	16	19	grain	grain	NOUN
app01-10213	16	20	-	-	PUNCT
app01-10213	16	21	size	size	NOUN
app01-10213	16	22	distribution	distribution	NOUN
app01-10213	16	23	curve	curve	NOUN
app01-10213	16	24	:	:	PUNCT
app01-10213	16	25	diameter	diameter	NOUN
app01-10213	16	26	2	2	NUM
app01-10213	16	27	px	px	PROPN
app01-10213	16	28	(	(	PUNCT
app01-10213	16	29	10	10	NUM
app01-10213	16	30	%	%	NOUN
app01-10213	16	31	)	)	PUNCT
app01-10213	16	32	,	,	PUNCT
app01-10213	16	33	4	4	NUM
app01-10213	16	34	px	px	NOUN
app01-10213	16	35	(	(	PUNCT
app01-10213	16	36	10	10	NUM
app01-10213	16	37	%	%	NOUN
app01-10213	16	38	)	)	PUNCT
app01-10213	16	39	,	,	PUNCT
app01-10213	16	40	8	8	NUM
app01-10213	16	41	px	px	NOUN
app01-10213	16	42	(	(	PUNCT
app01-10213	16	43	15	15	NUM
app01-10213	16	44	%	%	NOUN
app01-10213	16	45	)	)	PUNCT
app01-10213	16	46	,	,	PUNCT
app01-10213	16	47	16	16	NUM
app01-10213	16	48	px	px	X
app01-10213	16	49	(	(	PUNCT
app01-10213	16	50	20	20	NUM
app01-10213	16	51	%	%	NOUN
app01-10213	16	52	)	)	PUNCT
app01-10213	16	53	,	,	PUNCT
app01-10213	16	54	24	24	NUM
app01-10213	16	55	px	px	NOUN
app01-10213	16	56	(	(	PUNCT
app01-10213	16	57	20	20	NUM
app01-10213	16	58	%	%	NOUN
app01-10213	16	59	)	)	PUNCT
app01-10213	16	60	,	,	PUNCT
app01-10213	16	61	and	and	CCONJ
app01-10213	16	62	32	32	NUM
app01-10213	16	63	px	px	NOUN
app01-10213	16	64	(	(	PUNCT
app01-10213	16	65	25	25	NUM
app01-10213	16	66	%	%	NOUN
app01-10213	16	67	)	)	PUNCT
app01-10213	16	68	.	.	PUNCT
app01-10213	17	1	its	its	PRON
app01-10213	17	2	overall	overall	ADJ
app01-10213	17	3	dimensions	dimension	NOUN
app01-10213	17	4	are	be	AUX
app01-10213	17	5	10	10	NUM
app01-10213	17	6	000	000	NUM
app01-10213	17	7	×	×	NOUN
app01-10213	17	8	10	10	NUM
app01-10213	17	9	000	000	NUM
app01-10213	17	10	px	px	NOUN
app01-10213	17	11	,	,	PUNCT
app01-10213	17	12	and	and	CCONJ
app01-10213	17	13	the	the	DET
app01-10213	17	14	volume	volume	NOUN
app01-10213	17	15	fraction	fraction	NOUN
app01-10213	17	16	of	of	ADP
app01-10213	17	17	inclusions	inclusion	NOUN
app01-10213	17	18	is	be	AUX
app01-10213	17	19	c1	c1	NOUN
app01-10213	17	20	=	=	PROPN
app01-10213	17	21	0.5	0.5	NUM
app01-10213	17	22	.	.	PUNCT
app01-10213	18	1	here	here	ADV
app01-10213	18	2	,	,	PUNCT
app01-10213	18	3	the	the	DET
app01-10213	18	4	determination	determination	NOUN
app01-10213	18	5	of	of	ADP
app01-10213	18	6	the	the	DET
app01-10213	18	7	rve	rve	PROPN
app01-10213	18	8	size	size	NOUN
app01-10213	18	9	stems	stem	VERB
app01-10213	18	10	from	from	ADP
app01-10213	18	11	an	an	DET
app01-10213	18	12	engineer	engineer	NOUN
app01-10213	18	13	’s	’s	PART
app01-10213	18	14	approach	approach	NOUN
app01-10213	18	15	a	a	PRON
app01-10213	18	16	priori	priori	ADV
app01-10213	18	17	estimating	estimate	VERB
app01-10213	18	18	the	the	DET
app01-10213	18	19	dimen(a	dimen(a	NOUN
app01-10213	18	20	)	)	PUNCT
app01-10213	18	21	.	.	PUNCT
app01-10213	19	1	150	150	NUM
app01-10213	19	2	×	×	NOUN
app01-10213	19	3	150	150	NUM
app01-10213	19	4	px	px	NOUN
app01-10213	19	5	(	(	PUNCT
app01-10213	19	6	b	b	NOUN
app01-10213	19	7	)	)	PUNCT
app01-10213	19	8	.	.	PUNCT
app01-10213	20	1	100	100	NUM
app01-10213	20	2	×	×	NOUN
app01-10213	20	3	100	100	NUM
app01-10213	20	4	px	px	X
app01-10213	20	5	(	(	PUNCT
app01-10213	20	6	c	c	NOUN
app01-10213	20	7	)	)	PUNCT
app01-10213	20	8	.	.	PUNCT
app01-10213	21	1	50	50	NUM
app01-10213	21	2	×	×	NOUN
app01-10213	21	3	50	50	NUM
app01-10213	21	4	px	px	NOUN
app01-10213	21	5	figure	figure	NOUN
app01-10213	21	6	1	1	NUM
app01-10213	21	7	.	.	PUNCT
app01-10213	22	1	samples	sample	NOUN
app01-10213	22	2	of	of	ADP
app01-10213	22	3	the	the	DET
app01-10213	22	4	windows	window	NOUN
app01-10213	22	5	with	with	ADP
app01-10213	22	6	predefined	predefine	VERB
app01-10213	22	7	dimensions	dimension	NOUN
app01-10213	22	8	taken	take	VERB
app01-10213	22	9	randomly	randomly	ADV
app01-10213	22	10	from	from	ADP
app01-10213	22	11	the	the	DET
app01-10213	22	12	original	original	ADJ
app01-10213	22	13	domain	domain	NOUN
app01-10213	22	14	.	.	PUNCT
app01-10213	23	1	sions	sion	NOUN
app01-10213	23	2	based	base	VERB
app01-10213	23	3	on	on	ADP
app01-10213	23	4	easily	easily	ADV
app01-10213	23	5	observable	observable	ADJ
app01-10213	23	6	parameters	parameter	NOUN
app01-10213	23	7	,	,	PUNCT
app01-10213	23	8	namely	namely	ADV
app01-10213	23	9	the	the	DET
app01-10213	23	10	volume	volume	NOUN
app01-10213	23	11	fraction	fraction	NOUN
app01-10213	23	12	of	of	ADP
app01-10213	23	13	the	the	DET
app01-10213	23	14	white	white	ADJ
app01-10213	23	15	phase	phase	NOUN
app01-10213	23	16	and	and	CCONJ
app01-10213	23	17	the	the	DET
app01-10213	23	18	optimal	optimal	ADJ
app01-10213	23	19	correlation	correlation	NOUN
app01-10213	23	20	lengths	length	NOUN
app01-10213	23	21	.	.	PUNCT
app01-10213	24	1	authors	author	NOUN
app01-10213	24	2	are	be	AUX
app01-10213	24	3	aware	aware	ADJ
app01-10213	24	4	of	of	ADP
app01-10213	24	5	a	a	DET
app01-10213	24	6	more	more	ADV
app01-10213	24	7	correct	correct	ADJ
app01-10213	24	8	approach	approach	NOUN
app01-10213	24	9	to	to	ADP
app01-10213	24	10	identifying	identify	VERB
app01-10213	24	11	rve	rve	PROPN
app01-10213	24	12	size	size	NOUN
app01-10213	24	13	from	from	ADP
app01-10213	24	14	the	the	DET
app01-10213	24	15	statistical	statistical	ADJ
app01-10213	24	16	analysis	analysis	NOUN
app01-10213	24	17	of	of	ADP
app01-10213	24	18	model	model	NOUN
app01-10213	24	19	responses	response	NOUN
app01-10213	24	20	.	.	PUNCT
app01-10213	25	1	however	however	ADV
app01-10213	25	2	,	,	PUNCT
app01-10213	25	3	this	this	PRON
app01-10213	25	4	does	do	AUX
app01-10213	25	5	not	not	PART
app01-10213	25	6	have	have	VERB
app01-10213	25	7	to	to	PART
app01-10213	25	8	be	be	AUX
app01-10213	25	9	always	always	ADV
app01-10213	25	10	possible	possible	ADJ
app01-10213	25	11	and	and	CCONJ
app01-10213	25	12	brings	bring	VERB
app01-10213	25	13	ob77	ob77	PROPN
app01-10213	25	14	https://doi.org/10.14311/app.2024.49.0077	https://doi.org/10.14311/app.2024.49.0077	PROPN
app01-10213	25	15	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-10213	25	16	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-10213	25	17	david	david	PROPN
app01-10213	25	18	šilhánek	šilhánek	PROPN
app01-10213	25	19	,	,	PUNCT
app01-10213	25	20	jan	jan	PROPN
app01-10213	25	21	sýkora	sýkora	PROPN
app01-10213	25	22	acta	acta	PROPN
app01-10213	25	23	polytechnica	polytechnica	PROPN
app01-10213	25	24	ctu	ctu	PROPN
app01-10213	25	25	proceedings	proceeding	NOUN
app01-10213	25	26	figure	figure	VERB
app01-10213	25	27	2	2	NUM
app01-10213	25	28	.	.	PUNCT
app01-10213	26	1	the	the	DET
app01-10213	26	2	convergence	convergence	NOUN
app01-10213	26	3	graph	graph	NOUN
app01-10213	26	4	computed	compute	VERB
app01-10213	26	5	for	for	ADP
app01-10213	26	6	the	the	DET
app01-10213	26	7	volume	volume	NOUN
app01-10213	26	8	fraction	fraction	NOUN
app01-10213	26	9	of	of	ADP
app01-10213	26	10	the	the	DET
app01-10213	26	11	inclusions	inclusion	NOUN
app01-10213	26	12	as	as	ADP
app01-10213	26	13	a	a	DET
app01-10213	26	14	function	function	NOUN
app01-10213	26	15	of	of	ADP
app01-10213	26	16	the	the	DET
app01-10213	26	17	window	window	NOUN
app01-10213	26	18	size	size	NOUN
app01-10213	26	19	.	.	PUNCT
app01-10213	27	1	the	the	DET
app01-10213	27	2	solid	solid	ADJ
app01-10213	27	3	line	line	NOUN
app01-10213	27	4	denotes	denote	VERB
app01-10213	27	5	the	the	DET
app01-10213	27	6	mean	mean	NOUN
app01-10213	27	7	and	and	CCONJ
app01-10213	27	8	the	the	DET
app01-10213	27	9	light	light	NOUN
app01-10213	27	10	-	-	PUNCT
app01-10213	27	11	hatched	hatch	VERB
app01-10213	27	12	area	area	NOUN
app01-10213	27	13	represents	represent	VERB
app01-10213	27	14	the	the	DET
app01-10213	27	15	±	±	NUM
app01-10213	27	16	standard	standard	ADJ
app01-10213	27	17	deviation	deviation	NOUN
app01-10213	27	18	.	.	PUNCT
app01-10213	28	1	stacles	stacle	NOUN
app01-10213	28	2	,	,	PUNCT
app01-10213	28	3	especially	especially	ADV
app01-10213	28	4	for	for	ADP
app01-10213	28	5	the	the	DET
app01-10213	28	6	time	time	NOUN
app01-10213	28	7	-	-	PUNCT
app01-10213	28	8	demanding	demand	VERB
app01-10213	28	9	numerical	numerical	ADJ
app01-10213	28	10	simulations	simulation	NOUN
app01-10213	28	11	.	.	PUNCT
app01-10213	29	1	the	the	DET
app01-10213	29	2	first	first	ADJ
app01-10213	29	3	study	study	NOUN
app01-10213	29	4	addressing	address	VERB
app01-10213	29	5	the	the	DET
app01-10213	29	6	optimal	optimal	ADJ
app01-10213	29	7	rve	rve	PROPN
app01-10213	29	8	size	size	NOUN
app01-10213	29	9	is	be	AUX
app01-10213	29	10	built	build	VERB
app01-10213	29	11	upon	upon	SCONJ
app01-10213	29	12	the	the	DET
app01-10213	29	13	parameter	parameter	NOUN
app01-10213	29	14	of	of	ADP
app01-10213	29	15	volume	volume	NOUN
app01-10213	29	16	fraction	fraction	NOUN
app01-10213	29	17	.	.	PUNCT
app01-10213	30	1	a	a	DET
app01-10213	30	2	window	window	NOUN
app01-10213	30	3	of	of	ADP
app01-10213	30	4	predefined	predefine	VERB
app01-10213	30	5	dimensions	dimension	NOUN
app01-10213	30	6	is	be	AUX
app01-10213	30	7	randomly	randomly	ADV
app01-10213	30	8	placed	place	VERB
app01-10213	30	9	1	1	NUM
app01-10213	30	10	000	000	NUM
app01-10213	30	11	times	time	NOUN
app01-10213	30	12	in	in	ADP
app01-10213	30	13	the	the	DET
app01-10213	30	14	original	original	ADJ
app01-10213	30	15	medium	medium	NOUN
app01-10213	30	16	.	.	PUNCT
app01-10213	31	1	consequently	consequently	ADV
app01-10213	31	2	,	,	PUNCT
app01-10213	31	3	the	the	DET
app01-10213	31	4	difference	difference	NOUN
app01-10213	31	5	in	in	ADP
app01-10213	31	6	the	the	DET
app01-10213	31	7	studied	study	VERB
app01-10213	31	8	properties	property	NOUN
app01-10213	31	9	and	and	CCONJ
app01-10213	31	10	their	their	PRON
app01-10213	31	11	statistical	statistical	ADJ
app01-10213	31	12	moments	moment	NOUN
app01-10213	31	13	are	be	AUX
app01-10213	31	14	then	then	ADV
app01-10213	31	15	evaluated	evaluate	VERB
app01-10213	31	16	on	on	ADP
app01-10213	31	17	the	the	DET
app01-10213	31	18	obtained	obtain	VERB
app01-10213	31	19	dataset	dataset	NOUN
app01-10213	31	20	.	.	PUNCT
app01-10213	32	1	the	the	DET
app01-10213	32	2	entire	entire	ADJ
app01-10213	32	3	procedure	procedure	NOUN
app01-10213	32	4	is	be	AUX
app01-10213	32	5	repeated	repeat	VERB
app01-10213	32	6	for	for	ADP
app01-10213	32	7	various	various	ADJ
app01-10213	32	8	dimensions	dimension	NOUN
app01-10213	32	9	of	of	ADP
app01-10213	32	10	the	the	DET
app01-10213	32	11	placed	place	VERB
app01-10213	32	12	window	window	NOUN
app01-10213	32	13	.	.	PUNCT
app01-10213	33	1	the	the	DET
app01-10213	33	2	plotted	plot	VERB
app01-10213	33	3	graphs	graph	NOUN
app01-10213	33	4	serve	serve	VERB
app01-10213	33	5	for	for	ADP
app01-10213	33	6	the	the	DET
app01-10213	33	7	visual	visual	ADJ
app01-10213	33	8	determination	determination	NOUN
app01-10213	33	9	of	of	ADP
app01-10213	33	10	optimal	optimal	ADJ
app01-10213	33	11	rve	rve	PROPN
app01-10213	33	12	dimensions	dimension	NOUN
app01-10213	33	13	.	.	PUNCT
app01-10213	34	1	the	the	DET
app01-10213	34	2	results	result	NOUN
app01-10213	34	3	obtained	obtain	VERB
app01-10213	34	4	from	from	ADP
app01-10213	34	5	the	the	DET
app01-10213	34	6	first	first	ADJ
app01-10213	34	7	study	study	NOUN
app01-10213	34	8	are	be	AUX
app01-10213	34	9	shown	show	VERB
app01-10213	34	10	in	in	ADP
app01-10213	34	11	figure	figure	NOUN
app01-10213	34	12	2	2	NUM
app01-10213	34	13	.	.	PUNCT
app01-10213	35	1	the	the	DET
app01-10213	35	2	mean	mean	NOUN
app01-10213	35	3	of	of	ADP
app01-10213	35	4	the	the	DET
app01-10213	35	5	volume	volume	NOUN
app01-10213	35	6	fraction	fraction	NOUN
app01-10213	35	7	is	be	AUX
app01-10213	35	8	almost	almost	ADV
app01-10213	35	9	constant	constant	ADJ
app01-10213	35	10	for	for	ADP
app01-10213	35	11	all	all	DET
app01-10213	35	12	predefined	predefine	VERB
app01-10213	35	13	window	window	NOUN
app01-10213	35	14	sizes	size	NOUN
app01-10213	35	15	,	,	PUNCT
app01-10213	35	16	contrary	contrary	ADV
app01-10213	35	17	to	to	ADP
app01-10213	35	18	the	the	DET
app01-10213	35	19	standard	standard	ADJ
app01-10213	35	20	deviation	deviation	NOUN
app01-10213	35	21	,	,	PUNCT
app01-10213	35	22	which	which	PRON
app01-10213	35	23	steeply	steeply	VERB
app01-10213	35	24	converges	converge	VERB
app01-10213	35	25	with	with	ADP
app01-10213	35	26	increasing	increase	VERB
app01-10213	35	27	dimensions	dimension	NOUN
app01-10213	35	28	,	,	PUNCT
app01-10213	35	29	and	and	CCONJ
app01-10213	35	30	the	the	DET
app01-10213	35	31	values	value	NOUN
app01-10213	35	32	around	around	ADP
app01-10213	35	33	the	the	DET
app01-10213	35	34	window	window	NOUN
app01-10213	35	35	size	size	NOUN
app01-10213	35	36	of	of	ADP
app01-10213	35	37	100	100	NUM
app01-10213	35	38	×	×	NOUN
app01-10213	35	39	100	100	NUM
app01-10213	35	40	px	px	NOUN
app01-10213	35	41	reach	reach	VERB
app01-10213	35	42	the	the	DET
app01-10213	35	43	final	final	ADJ
app01-10213	35	44	plateau	plateau	NOUN
app01-10213	35	45	.	.	PUNCT
app01-10213	36	1	so	so	ADV
app01-10213	36	2	,	,	PUNCT
app01-10213	36	3	optimal	optimal	ADJ
app01-10213	36	4	rve	rve	NOUN
app01-10213	36	5	sizes	size	NOUN
app01-10213	36	6	in	in	ADP
app01-10213	36	7	the	the	DET
app01-10213	36	8	view	view	NOUN
app01-10213	36	9	of	of	ADP
app01-10213	36	10	the	the	DET
app01-10213	36	11	volume	volume	NOUN
app01-10213	36	12	fraction	fraction	NOUN
app01-10213	36	13	are	be	AUX
app01-10213	36	14	the	the	DET
app01-10213	36	15	dimensions	dimension	NOUN
app01-10213	36	16	above	above	ADP
app01-10213	36	17	100×100	100×100	NUM
app01-10213	36	18	px	px	NOUN
app01-10213	36	19	.	.	PUNCT
app01-10213	37	1	the	the	DET
app01-10213	37	2	second	second	ADJ
app01-10213	37	3	study	study	NOUN
app01-10213	37	4	focuses	focus	VERB
app01-10213	37	5	on	on	ADP
app01-10213	37	6	estimating	estimate	VERB
app01-10213	37	7	the	the	DET
app01-10213	37	8	rve	rve	PROPN
app01-10213	37	9	size	size	NOUN
app01-10213	37	10	based	base	VERB
app01-10213	37	11	on	on	ADP
app01-10213	37	12	the	the	DET
app01-10213	37	13	optimal	optimal	ADJ
app01-10213	37	14	correlation	correlation	NOUN
app01-10213	37	15	lengths	length	NOUN
app01-10213	37	16	(	(	PUNCT
app01-10213	37	17	lx	lx	NOUN
app01-10213	37	18	,	,	PUNCT
app01-10213	37	19	ly	ly	NOUN
app01-10213	37	20	)	)	PUNCT
app01-10213	37	21	.	.	PUNCT
app01-10213	38	1	the	the	DET
app01-10213	38	2	algorithmic	algorithmic	ADJ
app01-10213	38	3	procedure	procedure	NOUN
app01-10213	38	4	is	be	AUX
app01-10213	38	5	similar	similar	ADJ
app01-10213	38	6	to	to	ADP
app01-10213	38	7	the	the	DET
app01-10213	38	8	previous	previous	ADJ
app01-10213	38	9	case	case	NOUN
app01-10213	38	10	,	,	PUNCT
app01-10213	38	11	except	except	SCONJ
app01-10213	38	12	that	that	SCONJ
app01-10213	38	13	an	an	DET
app01-10213	38	14	additional	additional	ADJ
app01-10213	38	15	step	step	NOUN
app01-10213	38	16	of	of	ADP
app01-10213	38	17	identifying	identify	VERB
app01-10213	38	18	the	the	DET
app01-10213	38	19	correlation	correlation	NOUN
app01-10213	38	20	lengths	length	NOUN
app01-10213	38	21	for	for	ADP
app01-10213	38	22	every	every	DET
app01-10213	38	23	placed	place	VERB
app01-10213	38	24	window	window	NOUN
app01-10213	38	25	with	with	ADP
app01-10213	38	26	predefined	predefine	VERB
app01-10213	38	27	dimensions	dimension	NOUN
app01-10213	38	28	is	be	AUX
app01-10213	38	29	added	add	VERB
app01-10213	38	30	to	to	ADP
app01-10213	38	31	the	the	DET
app01-10213	38	32	calculation	calculation	NOUN
app01-10213	38	33	.	.	PUNCT
app01-10213	39	1	this	this	DET
app01-10213	39	2	step	step	NOUN
app01-10213	39	3	does	do	AUX
app01-10213	39	4	not	not	PART
app01-10213	39	5	significantly	significantly	ADV
app01-10213	39	6	increase	increase	VERB
app01-10213	39	7	the	the	DET
app01-10213	39	8	computational	computational	ADJ
app01-10213	39	9	costs	cost	NOUN
app01-10213	39	10	,	,	PUNCT
app01-10213	39	11	since	since	SCONJ
app01-10213	39	12	the	the	DET
app01-10213	39	13	relatively	relatively	ADV
app01-10213	39	14	small	small	ADJ
app01-10213	39	15	window	window	NOUN
app01-10213	39	16	sizes	size	NOUN
app01-10213	39	17	enter	enter	VERB
app01-10213	39	18	the	the	DET
app01-10213	39	19	optimization	optimization	NOUN
app01-10213	39	20	process	process	NOUN
app01-10213	39	21	of	of	ADP
app01-10213	39	22	correlation	correlation	NOUN
app01-10213	39	23	lengths	length	NOUN
app01-10213	39	24	.	.	PUNCT
app01-10213	40	1	the	the	DET
app01-10213	40	2	built	build	VERB
app01-10213	40	3	-	-	PUNCT
app01-10213	40	4	in	in	ADP
app01-10213	40	5	matlab	matlab	PROPN
app01-10213	40	6	function	function	NOUN
app01-10213	40	7	is	be	AUX
app01-10213	40	8	used	use	VERB
app01-10213	40	9	as	as	ADP
app01-10213	40	10	an	an	DET
app01-10213	40	11	optimizer	optimizer	NOUN
app01-10213	40	12	for	for	ADP
app01-10213	40	13	minimizing	minimize	VERB
app01-10213	40	14	the	the	DET
app01-10213	40	15	value	value	NOUN
app01-10213	40	16	of	of	ADP
app01-10213	40	17	error	error	NOUN
app01-10213	40	18	εlopt	εlopt	VERB
app01-10213	40	19	between	between	ADP
app01-10213	40	20	the	the	DET
app01-10213	40	21	correlation	correlation	NOUN
app01-10213	40	22	functions	function	NOUN
app01-10213	40	23	cg	cg	NOUN
app01-10213	40	24	and	and	CCONJ
app01-10213	40	25	ct	ct	PRON
app01-10213	41	1	p	p	NOUN
app01-10213	42	1	p	p	NOUN
app01-10213	42	2	:	:	PUNCT
app01-10213	42	3	εlopt	εlopt	VERB
app01-10213	42	4	=	=	SYM
app01-10213	42	5	1	1	NUM
app01-10213	42	6	nx	nx	X
app01-10213	42	7	·	·	PUNCT
app01-10213	42	8	ny	ny	PROPN
app01-10213	42	9	nx∑	nx∑	PROPN
app01-10213	42	10	i=1	i=1	PROPN
app01-10213	42	11	ny∑	ny∑	VERB
app01-10213	42	12	j=1	j=1	NOUN
app01-10213	43	1	|ct	|ct	NUM
app01-10213	43	2	p	p	X
app01-10213	43	3	p	p	X
app01-10213	43	4	,	,	PUNCT
app01-10213	43	5	ij	ij	X
app01-10213	43	6	−cg	−cg	NOUN
app01-10213	43	7	,	,	PUNCT
app01-10213	43	8	ij(lx	ij(lx	NOUN
app01-10213	43	9	,	,	PUNCT
app01-10213	43	10	ly)|	ly)|	PROPN
app01-10213	43	11	,	,	PUNCT
app01-10213	43	12	(	(	PUNCT
app01-10213	43	13	1	1	X
app01-10213	43	14	)	)	PUNCT
app01-10213	43	15	where	where	SCONJ
app01-10213	43	16	nx	nx	PROPN
app01-10213	43	17	denotes	denote	VERB
app01-10213	43	18	the	the	DET
app01-10213	43	19	window	window	NOUN
app01-10213	43	20	dimension	dimension	NOUN
app01-10213	43	21	in	in	ADP
app01-10213	43	22	x	x	NOUN
app01-10213	43	23	-	-	NOUN
app01-10213	43	24	direction	direction	NOUN
app01-10213	43	25	,	,	PUNCT
app01-10213	43	26	ny	ny	PROPN
app01-10213	43	27	denotes	denote	VERB
app01-10213	43	28	the	the	DET
app01-10213	43	29	window	window	NOUN
app01-10213	43	30	dimension	dimension	NOUN
app01-10213	43	31	in	in	ADP
app01-10213	43	32	y	y	NOUN
app01-10213	43	33	-	-	PUNCT
app01-10213	43	34	direction	direction	NOUN
app01-10213	43	35	,	,	PUNCT
app01-10213	43	36	ct	ct	PROPN
app01-10213	43	37	p	p	NOUN
app01-10213	43	38	p	p	NOUN
app01-10213	43	39	is	be	AUX
app01-10213	43	40	the	the	DET
app01-10213	43	41	image	image	NOUN
app01-10213	43	42	-	-	PUNCT
app01-10213	43	43	based	base	VERB
app01-10213	43	44	correlation	correlation	NOUN
app01-10213	43	45	kernel	kernel	NOUN
app01-10213	43	46	stored	store	VERB
app01-10213	43	47	as	as	ADP
app01-10213	43	48	a	a	DET
app01-10213	43	49	matrix	matrix	NOUN
app01-10213	43	50	and	and	CCONJ
app01-10213	43	51	enumerated	enumerate	VERB
app01-10213	43	52	according	accord	VERB
app01-10213	43	53	to	to	ADP
app01-10213	43	54	equation	equation	NOUN
app01-10213	43	55	(	(	PUNCT
app01-10213	43	56	4	4	NUM
app01-10213	43	57	)	)	PUNCT
app01-10213	43	58	,	,	PUNCT
app01-10213	43	59	cg	cg	NOUN
app01-10213	43	60	is	be	AUX
app01-10213	43	61	the	the	DET
app01-10213	43	62	gaussian	gaussian	ADJ
app01-10213	43	63	correlation	correlation	NOUN
app01-10213	43	64	kernel	kernel	NOUN
app01-10213	43	65	based	base	VERB
app01-10213	43	66	on	on	ADP
app01-10213	43	67	equation	equation	NOUN
app01-10213	43	68	(	(	PUNCT
app01-10213	43	69	3	3	NUM
app01-10213	43	70	)	)	PUNCT
app01-10213	43	71	.	.	PUNCT
app01-10213	44	1	the	the	DET
app01-10213	44	2	optimal	optimal	ADJ
app01-10213	44	3	correlation	correlation	NOUN
app01-10213	44	4	lengths	length	NOUN
app01-10213	44	5	are	be	AUX
app01-10213	44	6	plotted	plot	VERB
app01-10213	44	7	in	in	ADP
app01-10213	44	8	figure	figure	NOUN
app01-10213	44	9	3	3	NUM
app01-10213	44	10	.	.	PUNCT
app01-10213	45	1	as	as	SCONJ
app01-10213	45	2	we	we	PRON
app01-10213	45	3	can	can	AUX
app01-10213	45	4	notice	notice	VERB
app01-10213	45	5	,	,	PUNCT
app01-10213	45	6	the	the	DET
app01-10213	45	7	values	value	NOUN
app01-10213	45	8	of	of	ADP
app01-10213	45	9	optimal	optimal	ADJ
app01-10213	45	10	correlation	correlation	NOUN
app01-10213	45	11	length	length	NOUN
app01-10213	45	12	become	become	VERB
app01-10213	45	13	constant	constant	ADJ
app01-10213	45	14	for	for	ADP
app01-10213	45	15	window	window	NOUN
app01-10213	45	16	dimensions	dimension	NOUN
app01-10213	45	17	greater	great	ADJ
app01-10213	45	18	than	than	ADP
app01-10213	45	19	70	70	NUM
app01-10213	45	20	×	×	NOUN
app01-10213	45	21	70	70	NUM
app01-10213	45	22	px	px	NOUN
app01-10213	45	23	.	.	PROPN
app01-10213	46	1	moreover	moreover	ADV
app01-10213	46	2	,	,	PUNCT
app01-10213	46	3	the	the	DET
app01-10213	46	4	mean	mean	ADJ
app01-10213	46	5	values	value	NOUN
app01-10213	46	6	of	of	ADP
app01-10213	46	7	correlation	correlation	NOUN
app01-10213	46	8	length	length	NOUN
app01-10213	46	9	for	for	ADP
app01-10213	46	10	the	the	DET
app01-10213	46	11	same	same	ADJ
app01-10213	46	12	threshold	threshold	NOUN
app01-10213	46	13	also	also	ADV
app01-10213	46	14	correspond	correspond	VERB
app01-10213	46	15	to	to	ADP
app01-10213	46	16	the	the	DET
app01-10213	46	17	optimal	optimal	ADJ
app01-10213	46	18	values	value	NOUN
app01-10213	46	19	computed	compute	VERB
app01-10213	46	20	for	for	ADP
app01-10213	46	21	the	the	DET
app01-10213	46	22	entire	entire	ADJ
app01-10213	46	23	original	original	ADJ
app01-10213	46	24	domain	domain	NOUN
app01-10213	46	25	(	(	PUNCT
app01-10213	46	26	10	10	NUM
app01-10213	46	27	000×10	000×10	NOUN
app01-10213	46	28	000	000	NUM
app01-10213	46	29	px	px	NOUN
app01-10213	46	30	)	)	PUNCT
app01-10213	46	31	,	,	PUNCT
app01-10213	46	32	as	as	SCONJ
app01-10213	46	33	one	one	PRON
app01-10213	46	34	can	can	AUX
app01-10213	46	35	ensure	ensure	VERB
app01-10213	46	36	from	from	ADP
app01-10213	46	37	figure	figure	NOUN
app01-10213	46	38	4	4	NUM
app01-10213	46	39	,	,	PUNCT
app01-10213	46	40	where	where	SCONJ
app01-10213	46	41	the	the	DET
app01-10213	46	42	absolute	absolute	ADJ
app01-10213	46	43	values	value	NOUN
app01-10213	46	44	of	of	ADP
app01-10213	46	45	the	the	DET
app01-10213	46	46	error	error	NOUN
app01-10213	46	47	are	be	AUX
app01-10213	46	48	plotted	plot	VERB
app01-10213	46	49	.	.	PUNCT
app01-10213	47	1	the	the	DET
app01-10213	47	2	optimal	optimal	ADJ
app01-10213	47	3	values	value	NOUN
app01-10213	47	4	of	of	ADP
app01-10213	47	5	correlation	correlation	NOUN
app01-10213	47	6	length	length	NOUN
app01-10213	47	7	are	be	AUX
app01-10213	47	8	primarily	primarily	ADV
app01-10213	47	9	affected	affect	VERB
app01-10213	47	10	by	by	ADP
app01-10213	47	11	the	the	DET
app01-10213	47	12	spatial	spatial	ADJ
app01-10213	47	13	distribution	distribution	NOUN
app01-10213	47	14	of	of	ADP
app01-10213	47	15	inclusions	inclusion	NOUN
app01-10213	47	16	,	,	PUNCT
app01-10213	47	17	the	the	DET
app01-10213	47	18	sizes	size	NOUN
app01-10213	47	19	of	of	ADP
app01-10213	47	20	the	the	DET
app01-10213	47	21	inclusions	inclusion	NOUN
app01-10213	47	22	,	,	PUNCT
app01-10213	47	23	and	and	CCONJ
app01-10213	47	24	the	the	DET
app01-10213	47	25	value	value	NOUN
app01-10213	47	26	of	of	ADP
app01-10213	47	27	the	the	DET
app01-10213	47	28	volume	volume	NOUN
app01-10213	47	29	fraction	fraction	NOUN
app01-10213	47	30	.	.	PUNCT
app01-10213	48	1	so	so	ADV
app01-10213	48	2	,	,	PUNCT
app01-10213	48	3	the	the	DET
app01-10213	48	4	observed	observed	ADJ
app01-10213	48	5	evolution	evolution	NOUN
app01-10213	48	6	of	of	ADP
app01-10213	48	7	error	error	NOUN
app01-10213	48	8	curves	curve	NOUN
app01-10213	48	9	coincides	coincide	VERB
app01-10213	48	10	with	with	ADP
app01-10213	48	11	the	the	DET
app01-10213	48	12	study	study	NOUN
app01-10213	48	13	findings	finding	NOUN
app01-10213	48	14	examining	examine	VERB
app01-10213	48	15	the	the	DET
app01-10213	48	16	effect	effect	NOUN
app01-10213	48	17	of	of	ADP
app01-10213	48	18	volume	volume	NOUN
app01-10213	48	19	fraction	fraction	NOUN
app01-10213	48	20	on	on	ADP
app01-10213	48	21	the	the	DET
app01-10213	48	22	window	window	NOUN
app01-10213	48	23	size	size	NOUN
app01-10213	48	24	.	.	PUNCT
app01-10213	49	1	consequently	consequently	ADV
app01-10213	49	2	,	,	PUNCT
app01-10213	49	3	the	the	DET
app01-10213	49	4	influence	influence	NOUN
app01-10213	49	5	of	of	ADP
app01-10213	49	6	window	window	NOUN
app01-10213	49	7	size	size	NOUN
app01-10213	49	8	on	on	ADP
app01-10213	49	9	optimal	optimal	ADJ
app01-10213	49	10	correlation	correlation	NOUN
app01-10213	49	11	lengths	length	NOUN
app01-10213	49	12	is	be	AUX
app01-10213	49	13	negligible	negligible	ADJ
app01-10213	49	14	for	for	ADP
app01-10213	49	15	dimensions	dimension	NOUN
app01-10213	49	16	above	above	ADP
app01-10213	49	17	100	100	NUM
app01-10213	49	18	×	×	NOUN
app01-10213	49	19	100	100	NUM
app01-10213	49	20	px	px	NOUN
app01-10213	49	21	and	and	CCONJ
app01-10213	49	22	almost	almost	ADV
app01-10213	49	23	disappears	disappear	VERB
app01-10213	49	24	for	for	ADP
app01-10213	49	25	the	the	DET
app01-10213	49	26	window	window	NOUN
app01-10213	49	27	sizes	size	NOUN
app01-10213	49	28	above	above	ADP
app01-10213	49	29	150	150	NUM
app01-10213	49	30	×	×	NOUN
app01-10213	49	31	150	150	NUM
app01-10213	49	32	px	px	NOUN
app01-10213	49	33	.	.	PUNCT
app01-10213	50	1	usually	usually	ADV
app01-10213	50	2	,	,	PUNCT
app01-10213	50	3	the	the	DET
app01-10213	50	4	s2	s2	NOUN
app01-10213	50	5	function	function	NOUN
app01-10213	50	6	is	be	AUX
app01-10213	50	7	computed	compute	VERB
app01-10213	50	8	using	use	VERB
app01-10213	50	9	the	the	DET
app01-10213	50	10	discrete	discrete	ADJ
app01-10213	50	11	fast	fast	ADJ
app01-10213	50	12	-	-	PUNCT
app01-10213	50	13	fourier	fourier	NOUN
app01-10213	50	14	transform	transform	NOUN
app01-10213	50	15	algorithms	algorithm	NOUN
app01-10213	50	16	(	(	PUNCT
app01-10213	50	17	dft	dft	NOUN
app01-10213	50	18	)	)	PUNCT
app01-10213	51	1	[	[	X
app01-10213	51	2	5	5	NUM
app01-10213	51	3	]	]	PUNCT
app01-10213	51	4	to	to	PART
app01-10213	51	5	save	save	VERB
app01-10213	51	6	an	an	DET
app01-10213	51	7	enormous	enormous	ADJ
app01-10213	51	8	amount	amount	NOUN
app01-10213	51	9	of	of	ADP
app01-10213	51	10	computational	computational	ADJ
app01-10213	51	11	time	time	NOUN
app01-10213	51	12	.	.	PUNCT
app01-10213	52	1	however	however	ADV
app01-10213	52	2	,	,	PUNCT
app01-10213	52	3	this	this	DET
app01-10213	52	4	procedure	procedure	NOUN
app01-10213	52	5	requires	require	VERB
app01-10213	52	6	the	the	DET
app01-10213	52	7	periodic	periodic	ADJ
app01-10213	52	8	medium	medium	NOUN
app01-10213	52	9	as	as	ADP
app01-10213	52	10	an	an	DET
app01-10213	52	11	input	input	NOUN
app01-10213	52	12	,	,	PUNCT
app01-10213	52	13	which	which	PRON
app01-10213	52	14	is	be	AUX
app01-10213	52	15	not	not	PART
app01-10213	52	16	our	our	PRON
app01-10213	52	17	case	case	NOUN
app01-10213	52	18	of	of	ADP
app01-10213	52	19	windows	window	NOUN
app01-10213	52	20	randomly	randomly	ADV
app01-10213	52	21	placed	place	VERB
app01-10213	52	22	into	into	ADP
app01-10213	52	23	the	the	DET
app01-10213	52	24	original	original	ADJ
app01-10213	52	25	medium	medium	NOUN
app01-10213	52	26	,	,	PUNCT
app01-10213	52	27	thus	thus	ADV
app01-10213	52	28	the	the	DET
app01-10213	52	29	effect	effect	NOUN
app01-10213	52	30	of	of	ADP
app01-10213	52	31	the	the	DET
app01-10213	52	32	non	non	ADJ
app01-10213	52	33	-	-	ADJ
app01-10213	52	34	periodic	periodic	ADJ
app01-10213	52	35	domain	domain	NOUN
app01-10213	52	36	on	on	ADP
app01-10213	52	37	the	the	DET
app01-10213	52	38	final	final	ADJ
app01-10213	52	39	s2	s2	NOUN
app01-10213	52	40	dft	dft	NOUN
app01-10213	52	41	-	-	PUNCT
app01-10213	52	42	based	base	VERB
app01-10213	52	43	values	value	NOUN
app01-10213	52	44	needs	need	VERB
app01-10213	52	45	to	to	PART
app01-10213	52	46	be	be	AUX
app01-10213	52	47	carefully	carefully	ADV
app01-10213	52	48	investigated	investigate	VERB
app01-10213	52	49	.	.	PUNCT
app01-10213	53	1	for	for	ADP
app01-10213	53	2	this	this	DET
app01-10213	53	3	reason	reason	NOUN
app01-10213	53	4	,	,	PUNCT
app01-10213	53	5	the	the	DET
app01-10213	53	6	algorithm	algorithm	NOUN
app01-10213	53	7	computing	compute	VERB
app01-10213	53	8	s2	s2	NOUN
app01-10213	53	9	values	value	NOUN
app01-10213	53	10	for	for	ADP
app01-10213	53	11	the	the	DET
app01-10213	53	12	non	non	ADJ
app01-10213	53	13	-	-	ADJ
app01-10213	53	14	periodic	periodic	ADJ
app01-10213	53	15	medium	medium	NOUN
app01-10213	53	16	has	have	AUX
app01-10213	53	17	been	be	AUX
app01-10213	53	18	implemented	implement	VERB
app01-10213	53	19	as	as	ADP
app01-10213	53	20	a	a	DET
app01-10213	53	21	comparison	comparison	NOUN
app01-10213	53	22	tool	tool	NOUN
app01-10213	53	23	with	with	ADP
app01-10213	53	24	dft	dft	NOUN
app01-10213	53	25	-	-	PUNCT
app01-10213	53	26	based	base	VERB
app01-10213	53	27	values	value	NOUN
app01-10213	53	28	.	.	PUNCT
app01-10213	54	1	the	the	DET
app01-10213	54	2	computational	computational	ADJ
app01-10213	54	3	testing	testing	NOUN
app01-10213	54	4	protocol	protocol	NOUN
app01-10213	54	5	is	be	AUX
app01-10213	54	6	the	the	DET
app01-10213	54	7	same	same	ADJ
app01-10213	54	8	as	as	ADP
app01-10213	54	9	in	in	ADP
app01-10213	54	10	previous	previous	ADJ
app01-10213	54	11	studies	study	NOUN
app01-10213	54	12	and	and	CCONJ
app01-10213	54	13	the	the	DET
app01-10213	54	14	observed	observed	ADJ
app01-10213	54	15	values	value	NOUN
app01-10213	54	16	of	of	ADP
app01-10213	54	17	error	error	NOUN
app01-10213	54	18	are	be	AUX
app01-10213	54	19	obtained	obtain	VERB
app01-10213	54	20	from	from	ADP
app01-10213	54	21	the	the	DET
app01-10213	54	22	following	follow	VERB
app01-10213	54	23	equation	equation	NOUN
app01-10213	54	24	as	as	ADP
app01-10213	54	25	:	:	PUNCT
app01-10213	54	26	εs2,p	εs2,p	NUM
app01-10213	54	27	,	,	PUNCT
app01-10213	54	28	s2,np	s2,np	NOUN
app01-10213	54	29	=	=	SYM
app01-10213	54	30	1	1	NUM
app01-10213	54	31	nx	nx	X
app01-10213	54	32	·	·	PUNCT
app01-10213	54	33	ny	ny	PROPN
app01-10213	54	34	nx∑	nx∑	PROPN
app01-10213	54	35	i=1	i=1	PROPN
app01-10213	55	1	ny∑	ny∑	PROPN
app01-10213	55	2	j=1	j=1	PROPN
app01-10213	55	3	|speriodic	|speriodic	ADJ
app01-10213	55	4	2,ij	2,ij	NUM
app01-10213	55	5	−	−	PROPN
app01-10213	55	6	snonperiodic	snonperiodic	NOUN
app01-10213	55	7	2,ij	2,ij	NUM
app01-10213	55	8	|	|	ADV
app01-10213	55	9	,	,	PUNCT
app01-10213	55	10	(	(	PUNCT
app01-10213	55	11	2	2	X
app01-10213	55	12	)	)	PUNCT
app01-10213	55	13	where	where	SCONJ
app01-10213	55	14	nx	nx	PROPN
app01-10213	55	15	denotes	denote	VERB
app01-10213	55	16	the	the	DET
app01-10213	55	17	window	window	NOUN
app01-10213	55	18	dimension	dimension	NOUN
app01-10213	55	19	in	in	ADP
app01-10213	55	20	x	x	NOUN
app01-10213	55	21	-	-	NOUN
app01-10213	55	22	direction	direction	NOUN
app01-10213	55	23	,	,	PUNCT
app01-10213	55	24	78	78	NUM
app01-10213	55	25	vol	vol	NOUN
app01-10213	55	26	.	.	PUNCT
app01-10213	56	1	49/2024	49/2024	NUM
app01-10213	56	2	image	image	NOUN
app01-10213	56	3	-	-	PUNCT
app01-10213	56	4	based	base	VERB
app01-10213	56	5	rf	rf	NOUN
app01-10213	56	6	in	in	ADP
app01-10213	56	7	numerical	numerical	ADJ
app01-10213	56	8	modeling	modeling	NOUN
app01-10213	56	9	of	of	ADP
app01-10213	56	10	heterogeneous	heterogeneous	ADJ
app01-10213	56	11	materials	material	NOUN
app01-10213	56	12	figure	figure	NOUN
app01-10213	56	13	3	3	NUM
app01-10213	56	14	.	.	PUNCT
app01-10213	57	1	the	the	DET
app01-10213	57	2	convergence	convergence	NOUN
app01-10213	57	3	of	of	ADP
app01-10213	57	4	optimal	optimal	ADJ
app01-10213	57	5	correlation	correlation	NOUN
app01-10213	57	6	lengths	length	NOUN
app01-10213	57	7	as	as	ADP
app01-10213	57	8	a	a	DET
app01-10213	57	9	function	function	NOUN
app01-10213	57	10	of	of	ADP
app01-10213	57	11	the	the	DET
app01-10213	57	12	window	window	NOUN
app01-10213	57	13	size	size	NOUN
app01-10213	57	14	.	.	PUNCT
app01-10213	58	1	the	the	DET
app01-10213	58	2	solid	solid	ADJ
app01-10213	58	3	line	line	NOUN
app01-10213	58	4	denotes	denote	VERB
app01-10213	58	5	the	the	DET
app01-10213	58	6	mean	mean	NOUN
app01-10213	58	7	and	and	CCONJ
app01-10213	58	8	the	the	DET
app01-10213	58	9	light	light	NOUN
app01-10213	58	10	-	-	PUNCT
app01-10213	58	11	hatched	hatch	VERB
app01-10213	58	12	area	area	NOUN
app01-10213	58	13	represents	represent	VERB
app01-10213	58	14	the	the	DET
app01-10213	58	15	±	±	NUM
app01-10213	58	16	standard	standard	ADJ
app01-10213	58	17	deviation	deviation	NOUN
app01-10213	58	18	.	.	PUNCT
app01-10213	59	1	figure	figure	NOUN
app01-10213	59	2	4	4	NUM
app01-10213	59	3	.	.	PUNCT
app01-10213	60	1	the	the	DET
app01-10213	60	2	difference	difference	NOUN
app01-10213	60	3	between	between	ADP
app01-10213	60	4	the	the	DET
app01-10213	60	5	optimal	optimal	ADJ
app01-10213	60	6	correlation	correlation	NOUN
app01-10213	60	7	length	length	NOUN
app01-10213	60	8	obtained	obtain	VERB
app01-10213	60	9	from	from	ADP
app01-10213	60	10	the	the	DET
app01-10213	60	11	entire	entire	ADJ
app01-10213	60	12	original	original	ADJ
app01-10213	60	13	domain	domain	NOUN
app01-10213	60	14	and	and	CCONJ
app01-10213	60	15	mean	mean	ADJ
app01-10213	60	16	values	value	NOUN
app01-10213	60	17	of	of	ADP
app01-10213	60	18	the	the	DET
app01-10213	60	19	correlation	correlation	NOUN
app01-10213	60	20	length	length	NOUN
app01-10213	60	21	computed	compute	VERB
app01-10213	60	22	for	for	ADP
app01-10213	60	23	the	the	DET
app01-10213	60	24	various	various	ADJ
app01-10213	60	25	dimensions	dimension	NOUN
app01-10213	60	26	of	of	ADP
app01-10213	60	27	the	the	DET
app01-10213	60	28	placed	place	VERB
app01-10213	60	29	window	window	NOUN
app01-10213	60	30	.	.	PUNCT
app01-10213	61	1	ny	ny	PROPN
app01-10213	61	2	denotes	denote	VERB
app01-10213	61	3	the	the	DET
app01-10213	61	4	window	window	NOUN
app01-10213	61	5	dimension	dimension	NOUN
app01-10213	61	6	in	in	ADP
app01-10213	61	7	y	y	NOUN
app01-10213	61	8	-	-	PUNCT
app01-10213	61	9	direction	direction	NOUN
app01-10213	61	10	,	,	PUNCT
app01-10213	61	11	speriodic	speriodic	ADJ
app01-10213	61	12	2,ij	2,ij	PROPN
app01-10213	61	13	is	be	AUX
app01-10213	61	14	the	the	DET
app01-10213	61	15	i	i	PROPN
app01-10213	61	16	,	,	PUNCT
app01-10213	61	17	j	j	PROPN
app01-10213	61	18	-	-	PUNCT
app01-10213	61	19	th	th	X
app01-10213	61	20	element	element	NOUN
app01-10213	61	21	of	of	ADP
app01-10213	61	22	two	two	NUM
app01-10213	61	23	-	-	PUNCT
app01-10213	61	24	point	point	NOUN
app01-10213	61	25	probability	probability	NOUN
app01-10213	61	26	matrix	matrix	NOUN
app01-10213	61	27	computed	compute	VERB
app01-10213	61	28	with	with	ADP
app01-10213	61	29	the	the	DET
app01-10213	61	30	assumption	assumption	NOUN
app01-10213	61	31	of	of	ADP
app01-10213	61	32	periodicity	periodicity	NOUN
app01-10213	61	33	according	accord	VERB
app01-10213	61	34	to	to	ADP
app01-10213	61	35	equation	equation	NOUN
app01-10213	61	36	(	(	PUNCT
app01-10213	61	37	5	5	NUM
app01-10213	61	38	)	)	PUNCT
app01-10213	61	39	,	,	PUNCT
app01-10213	61	40	and	and	CCONJ
app01-10213	61	41	i	i	PROPN
app01-10213	61	42	,	,	PUNCT
app01-10213	61	43	j	j	PROPN
app01-10213	61	44	-	-	PUNCT
app01-10213	61	45	th	th	X
app01-10213	61	46	element	element	NOUN
app01-10213	61	47	of	of	ADP
app01-10213	61	48	two	two	NUM
app01-10213	61	49	-	-	PUNCT
app01-10213	61	50	point	point	NOUN
app01-10213	61	51	probability	probability	NOUN
app01-10213	61	52	matrix	matrix	NOUN
app01-10213	61	53	obtained	obtain	VERB
app01-10213	61	54	for	for	ADP
app01-10213	61	55	the	the	DET
app01-10213	61	56	nonperiodic	nonperiodic	ADJ
app01-10213	61	57	medium	medium	NOUN
app01-10213	61	58	with	with	ADP
app01-10213	61	59	the	the	DET
app01-10213	61	60	help	help	NOUN
app01-10213	61	61	of	of	ADP
app01-10213	61	62	equation	equation	NOUN
app01-10213	61	63	(	(	PUNCT
app01-10213	61	64	7	7	NUM
app01-10213	61	65	)	)	PUNCT
app01-10213	61	66	.	.	PUNCT
app01-10213	62	1	as	as	SCONJ
app01-10213	62	2	expected	expect	VERB
app01-10213	62	3	,	,	PUNCT
app01-10213	62	4	the	the	DET
app01-10213	62	5	curves	curve	NOUN
app01-10213	62	6	in	in	ADP
app01-10213	62	7	figure	figure	NOUN
app01-10213	62	8	5	5	NUM
app01-10213	62	9	show	show	VERB
app01-10213	62	10	good	good	ADJ
app01-10213	62	11	convergence	convergence	NOUN
app01-10213	62	12	of	of	ADP
app01-10213	62	13	values	value	NOUN
app01-10213	62	14	of	of	ADP
app01-10213	62	15	error	error	NOUN
app01-10213	62	16	with	with	ADP
app01-10213	62	17	higher	high	ADJ
app01-10213	62	18	window	window	NOUN
app01-10213	62	19	sizes	size	NOUN
app01-10213	62	20	.	.	PUNCT
app01-10213	63	1	therefore	therefore	ADV
app01-10213	63	2	,	,	PUNCT
app01-10213	63	3	the	the	DET
app01-10213	63	4	effect	effect	NOUN
app01-10213	63	5	of	of	ADP
app01-10213	63	6	the	the	DET
app01-10213	63	7	periodic	periodic	ADJ
app01-10213	63	8	assumption	assumption	NOUN
app01-10213	63	9	on	on	ADP
app01-10213	63	10	the	the	DET
app01-10213	63	11	optimized	optimize	VERB
app01-10213	63	12	values	value	NOUN
app01-10213	63	13	of	of	ADP
app01-10213	63	14	correlation	correlation	NOUN
app01-10213	63	15	lengths	length	NOUN
app01-10213	63	16	is	be	AUX
app01-10213	63	17	negligible	negligible	ADJ
app01-10213	63	18	for	for	ADP
app01-10213	63	19	the	the	DET
app01-10213	63	20	window	window	NOUN
app01-10213	63	21	sizes	size	NOUN
app01-10213	63	22	of	of	ADP
app01-10213	63	23	our	our	PRON
app01-10213	63	24	interest	interest	NOUN
app01-10213	63	25	,	,	PUNCT
app01-10213	63	26	and	and	CCONJ
app01-10213	63	27	the	the	DET
app01-10213	63	28	fast	fast	ADJ
app01-10213	63	29	evaluation	evaluation	NOUN
app01-10213	63	30	of	of	ADP
app01-10213	63	31	the	the	DET
app01-10213	63	32	two	two	NUM
app01-10213	63	33	-	-	PUNCT
app01-10213	63	34	point	point	NOUN
app01-10213	63	35	probability	probability	NOUN
app01-10213	63	36	based	base	VERB
app01-10213	63	37	on	on	ADP
app01-10213	63	38	the	the	DET
app01-10213	63	39	dft	dft	PROPN
app01-10213	63	40	algorithm	algorithm	NOUN
app01-10213	63	41	can	can	AUX
app01-10213	63	42	be	be	AUX
app01-10213	63	43	performed	perform	VERB
app01-10213	63	44	in	in	ADP
app01-10213	63	45	our	our	PRON
app01-10213	63	46	computational	computational	ADJ
app01-10213	63	47	scheme	scheme	NOUN
app01-10213	63	48	.	.	PUNCT
app01-10213	64	1	considering	consider	VERB
app01-10213	64	2	the	the	DET
app01-10213	64	3	outcomes	outcome	NOUN
app01-10213	64	4	mentioned	mention	VERB
app01-10213	64	5	above	above	ADV
app01-10213	64	6	,	,	PUNCT
app01-10213	64	7	we	we	PRON
app01-10213	64	8	decided	decide	VERB
app01-10213	64	9	to	to	PART
app01-10213	64	10	proceed	proceed	VERB
app01-10213	64	11	further	far	ADV
app01-10213	64	12	with	with	ADP
app01-10213	64	13	an	an	DET
app01-10213	64	14	rve	rve	NOUN
app01-10213	64	15	size	size	NOUN
app01-10213	64	16	of	of	ADP
app01-10213	64	17	100	100	NUM
app01-10213	64	18	×	×	NOUN
app01-10213	64	19	100	100	NUM
app01-10213	64	20	px	px	NOUN
app01-10213	64	21	.	.	PUNCT
app01-10213	65	1	it	it	PRON
app01-10213	65	2	is	be	AUX
app01-10213	65	3	a	a	DET
app01-10213	65	4	reasonable	reasonable	ADJ
app01-10213	65	5	compromise	compromise	NOUN
app01-10213	65	6	between	between	ADP
app01-10213	65	7	the	the	DET
app01-10213	65	8	obtained	obtain	VERB
app01-10213	65	9	results	result	NOUN
app01-10213	65	10	–	–	PUNCT
app01-10213	65	11	the	the	DET
app01-10213	65	12	variance	variance	NOUN
app01-10213	65	13	of	of	ADP
app01-10213	65	14	the	the	DET
app01-10213	65	15	volume	volume	NOUN
app01-10213	65	16	fraction	fraction	NOUN
app01-10213	65	17	and	and	CCONJ
app01-10213	65	18	the	the	DET
app01-10213	65	19	optimized	optimize	VERB
app01-10213	65	20	correlation	correlation	NOUN
app01-10213	65	21	length	length	NOUN
app01-10213	65	22	–	–	PUNCT
app01-10213	65	23	and	and	CCONJ
app01-10213	65	24	computational	computational	ADJ
app01-10213	65	25	cost	cost	NOUN
app01-10213	65	26	.	.	PUNCT
app01-10213	66	1	another	another	DET
app01-10213	66	2	enlarging	enlarging	NOUN
app01-10213	66	3	of	of	ADP
app01-10213	66	4	the	the	DET
app01-10213	66	5	window	window	NOUN
app01-10213	66	6	area	area	NOUN
app01-10213	66	7	would	would	AUX
app01-10213	66	8	not	not	PART
app01-10213	66	9	bring	bring	VERB
app01-10213	66	10	a	a	DET
app01-10213	66	11	huge	huge	ADJ
app01-10213	66	12	benefit	benefit	NOUN
app01-10213	66	13	since	since	SCONJ
app01-10213	66	14	the	the	DET
app01-10213	66	15	values	value	NOUN
app01-10213	66	16	of	of	ADP
app01-10213	66	17	mean	mean	ADV
app01-10213	66	18	computed	compute	VERB
app01-10213	66	19	for	for	ADP
app01-10213	66	20	the	the	DET
app01-10213	66	21	correlation	correlation	NOUN
app01-10213	66	22	length	length	NOUN
app01-10213	66	23	and	and	CCONJ
app01-10213	66	24	volume	volume	NOUN
app01-10213	66	25	fraction	fraction	NOUN
app01-10213	66	26	are	be	AUX
app01-10213	66	27	further	far	ADV
app01-10213	66	28	invariable	invariable	ADJ
app01-10213	66	29	,	,	PUNCT
app01-10213	66	30	and	and	CCONJ
app01-10213	66	31	their	their	PRON
app01-10213	66	32	standard	standard	ADJ
app01-10213	66	33	deviations	deviation	NOUN
app01-10213	66	34	reach	reach	VERB
app01-10213	66	35	almost	almost	ADV
app01-10213	66	36	the	the	DET
app01-10213	66	37	plateau	plateau	NOUN
app01-10213	66	38	.	.	PUNCT
app01-10213	67	1	3	3	X
app01-10213	67	2	.	.	X
app01-10213	67	3	numerical	numerical	ADJ
app01-10213	67	4	example	example	NOUN
app01-10213	67	5	this	this	DET
app01-10213	67	6	numerical	numerical	ADJ
app01-10213	67	7	example	example	NOUN
app01-10213	67	8	is	be	AUX
app01-10213	67	9	devoted	devote	VERB
app01-10213	67	10	to	to	ADP
app01-10213	67	11	the	the	DET
app01-10213	67	12	assessment	assessment	NOUN
app01-10213	67	13	of	of	ADP
app01-10213	67	14	several	several	ADJ
app01-10213	67	15	proposed	propose	VERB
app01-10213	67	16	techniques	technique	NOUN
app01-10213	67	17	of	of	ADP
app01-10213	67	18	random	random	ADJ
app01-10213	67	19	field	field	NOUN
app01-10213	67	20	constructions	construction	NOUN
app01-10213	67	21	in	in	ADP
app01-10213	67	22	stochastic	stochastic	ADJ
app01-10213	67	23	material	material	NOUN
app01-10213	67	24	modeling	modeling	NOUN
app01-10213	67	25	.	.	PUNCT
app01-10213	68	1	since	since	SCONJ
app01-10213	68	2	the	the	DET
app01-10213	68	3	efficiency	efficiency	NOUN
app01-10213	68	4	of	of	ADP
app01-10213	68	5	the	the	DET
app01-10213	68	6	random	random	ADJ
app01-10213	68	7	fields	field	NOUN
app01-10213	68	8	is	be	AUX
app01-10213	68	9	demonstrated	demonstrate	VERB
app01-10213	68	10	mostly	mostly	ADV
app01-10213	68	11	on	on	ADP
app01-10213	68	12	the	the	DET
app01-10213	68	13	model	model	NOUN
app01-10213	68	14	inputs	input	NOUN
app01-10213	68	15	,	,	PUNCT
app01-10213	68	16	the	the	DET
app01-10213	68	17	emphasis	emphasis	NOUN
app01-10213	68	18	is	be	AUX
app01-10213	68	19	here	here	ADV
app01-10213	68	20	mainly	mainly	ADV
app01-10213	68	21	on	on	ADP
app01-10213	68	22	checking	check	VERB
app01-10213	68	23	the	the	DET
app01-10213	68	24	quality	quality	NOUN
app01-10213	68	25	of	of	ADP
app01-10213	68	26	the	the	DET
app01-10213	68	27	prediction	prediction	NOUN
app01-10213	68	28	of	of	ADP
app01-10213	68	29	material	material	ADJ
app01-10213	68	30	behavior	behavior	NOUN
app01-10213	68	31	.	.	PUNCT
app01-10213	69	1	to	to	PART
app01-10213	69	2	begin	begin	VERB
app01-10213	69	3	with	with	ADP
app01-10213	69	4	,	,	PUNCT
app01-10213	69	5	the	the	DET
app01-10213	69	6	ideal	ideal	ADJ
app01-10213	69	7	elastic	elastic	ADJ
app01-10213	69	8	model	model	NOUN
app01-10213	69	9	simulating	simulate	VERB
app01-10213	69	10	the	the	DET
app01-10213	69	11	mechanical	mechanical	ADJ
app01-10213	69	12	behavior	behavior	NOUN
app01-10213	69	13	is	be	AUX
app01-10213	69	14	employed	employ	VERB
app01-10213	69	15	for	for	ADP
app01-10213	69	16	both	both	DET
app01-10213	69	17	material	material	ADJ
app01-10213	69	18	phases	phase	NOUN
app01-10213	69	19	.	.	PUNCT
app01-10213	70	1	their	their	PRON
app01-10213	70	2	material	material	NOUN
app01-10213	70	3	properties	property	NOUN
app01-10213	70	4	–	–	PUNCT
app01-10213	70	5	e	e	X
app01-10213	70	6	young	young	PROPN
app01-10213	70	7	’s	’s	PART
app01-10213	70	8	modulus	modulus	NOUN
app01-10213	70	9	and	and	CCONJ
app01-10213	70	10	ν	ν	ADP
app01-10213	70	11	poisson	poisson	NOUN
app01-10213	70	12	’s	’s	PART
app01-10213	70	13	ratio	ratio	NOUN
app01-10213	70	14	–	–	PUNCT
app01-10213	70	15	differing	differ	VERB
app01-10213	70	16	by	by	ADP
app01-10213	70	17	an	an	DET
app01-10213	70	18	order	order	NOUN
app01-10213	70	19	of	of	ADP
app01-10213	70	20	magnitude	magnitude	NOUN
app01-10213	70	21	,	,	PUNCT
app01-10213	70	22	are	be	AUX
app01-10213	70	23	summarized	summarize	VERB
app01-10213	70	24	in	in	ADP
app01-10213	70	25	table	table	NOUN
app01-10213	70	26	1	1	NUM
app01-10213	70	27	.	.	PUNCT
app01-10213	71	1	the	the	DET
app01-10213	71	2	geometrical	geometrical	ADJ
app01-10213	71	3	domain	domain	NOUN
app01-10213	71	4	with	with	ADP
app01-10213	71	5	applied	apply	VERB
app01-10213	71	6	boundary	boundary	ADJ
app01-10213	71	7	conditions	condition	NOUN
app01-10213	71	8	is	be	AUX
app01-10213	71	9	depicted	depict	VERB
app01-10213	71	10	in	in	ADP
app01-10213	71	11	figure	figure	NOUN
app01-10213	71	12	6	6	NUM
app01-10213	71	13	.	.	PUNCT
app01-10213	72	1	the	the	DET
app01-10213	72	2	dirichlet	dirichlet	PROPN
app01-10213	72	3	boundary	boundary	PROPN
app01-10213	72	4	conditions	condition	NOUN
app01-10213	72	5	are	be	AUX
app01-10213	72	6	imposed	impose	VERB
app01-10213	72	7	on	on	ADP
app01-10213	72	8	the	the	DET
app01-10213	72	9	left	left	ADJ
app01-10213	72	10	side	side	NOUN
app01-10213	72	11	of	of	ADP
app01-10213	72	12	the	the	DET
app01-10213	72	13	domain	domain	NOUN
app01-10213	72	14	as	as	ADP
app01-10213	72	15	ux	ux	PROPN
app01-10213	72	16	=	=	SYM
app01-10213	72	17	0	0	PROPN
app01-10213	72	18	,	,	PUNCT
app01-10213	72	19	on	on	ADP
app01-10213	72	20	the	the	DET
app01-10213	72	21	right	right	ADJ
app01-10213	72	22	side	side	NOUN
app01-10213	72	23	as	as	ADP
app01-10213	72	24	incrementally	incrementally	ADV
app01-10213	72	25	increasing	increase	VERB
app01-10213	72	26	up	up	ADP
app01-10213	72	27	to	to	ADP
app01-10213	72	28	ux	ux	NOUN
app01-10213	72	29	=	=	SYM
app01-10213	72	30	1.5	1.5	NUM
app01-10213	72	31	·	·	PUNCT
app01-10213	72	32	10−6	10−6	NUM
app01-10213	72	33	m	m	NOUN
app01-10213	72	34	,	,	PUNCT
app01-10213	72	35	and	and	CCONJ
app01-10213	72	36	79	79	NUM
app01-10213	72	37	david	david	PROPN
app01-10213	72	38	šilhánek	šilhánek	PROPN
app01-10213	72	39	,	,	PUNCT
app01-10213	72	40	jan	jan	PROPN
app01-10213	72	41	sýkora	sýkora	PROPN
app01-10213	72	42	acta	acta	PROPN
app01-10213	72	43	polytechnica	polytechnica	PROPN
app01-10213	72	44	ctu	ctu	PROPN
app01-10213	72	45	proceedings	proceeding	NOUN
app01-10213	72	46	figure	figure	VERB
app01-10213	72	47	5	5	NUM
app01-10213	72	48	.	.	PUNCT
app01-10213	73	1	the	the	DET
app01-10213	73	2	comparison	comparison	NOUN
app01-10213	73	3	of	of	ADP
app01-10213	73	4	the	the	DET
app01-10213	73	5	periodic	periodic	ADJ
app01-10213	73	6	and	and	CCONJ
app01-10213	73	7	non	non	ADJ
app01-10213	73	8	-	-	ADJ
app01-10213	73	9	periodic	periodic	ADJ
app01-10213	73	10	assumptions	assumption	NOUN
app01-10213	73	11	on	on	ADP
app01-10213	73	12	the	the	DET
app01-10213	73	13	values	value	NOUN
app01-10213	73	14	of	of	ADP
app01-10213	73	15	s2	s2	PROPN
app01-10213	73	16	function	function	NOUN
app01-10213	73	17	.	.	PUNCT
app01-10213	74	1	phase	phase	NOUN
app01-10213	74	2	e	e	PROPN
app01-10213	74	3	[	[	X
app01-10213	74	4	mpa	mpa	X
app01-10213	74	5	]	]	X
app01-10213	74	6	ν	ν	X
app01-10213	74	7	[	[	X
app01-10213	74	8	-	-	PUNCT
app01-10213	74	9	]	]	X
app01-10213	74	10	black	black	ADJ
app01-10213	74	11	phase	phase	NOUN
app01-10213	74	12	,	,	PUNCT
app01-10213	74	13	0	0	NUM
app01-10213	74	14	1	1	NUM
app01-10213	74	15	325	325	NUM
app01-10213	74	16	0.43	0.43	NUM
app01-10213	74	17	white	white	ADJ
app01-10213	74	18	phase	phase	NOUN
app01-10213	74	19	,	,	PUNCT
app01-10213	74	20	1	1	NUM
app01-10213	74	21	25	25	NUM
app01-10213	74	22	000	000	NUM
app01-10213	74	23	0.20	0.20	NUM
app01-10213	74	24	table	table	NOUN
app01-10213	74	25	1	1	NUM
app01-10213	74	26	.	.	PUNCT
app01-10213	74	27	elastic	elastic	ADJ
app01-10213	74	28	properties	property	NOUN
app01-10213	74	29	of	of	ADP
app01-10213	74	30	black	black	ADJ
app01-10213	74	31	and	and	CCONJ
app01-10213	74	32	white	white	ADJ
app01-10213	74	33	phase	phase	NOUN
app01-10213	74	34	representing	represent	VERB
app01-10213	74	35	the	the	DET
app01-10213	74	36	material	material	ADJ
app01-10213	74	37	constants	constant	NOUN
app01-10213	74	38	of	of	ADP
app01-10213	74	39	polypropylene	polypropylene	NOUN
app01-10213	74	40	composite	composite	ADJ
app01-10213	74	41	materials	material	NOUN
app01-10213	74	42	[	[	X
app01-10213	74	43	6	6	NUM
app01-10213	74	44	]	]	PUNCT
app01-10213	74	45	.	.	PUNCT
app01-10213	75	1	figure	figure	NOUN
app01-10213	75	2	6	6	NUM
app01-10213	75	3	.	.	PUNCT
app01-10213	76	1	a	a	DET
app01-10213	76	2	scheme	scheme	NOUN
app01-10213	76	3	of	of	ADP
app01-10213	76	4	the	the	DET
app01-10213	76	5	tensile	tensile	NOUN
app01-10213	76	6	st	st	PROPN
app01-10213	76	7	problem	problem	NOUN
app01-10213	76	8	.	.	PUNCT
app01-10213	77	1	finally	finally	ADV
app01-10213	77	2	uy	uy	VERB
app01-10213	78	1	=	=	NOUN
app01-10213	78	2	0	0	NUM
app01-10213	79	1	at	at	ADP
app01-10213	79	2	bottom	bottom	ADJ
app01-10213	79	3	left	leave	VERB
app01-10213	79	4	corner	corner	NOUN
app01-10213	79	5	.	.	PUNCT
app01-10213	80	1	the	the	DET
app01-10213	80	2	entire	entire	ADJ
app01-10213	80	3	domain	domain	NOUN
app01-10213	80	4	with	with	ADP
app01-10213	80	5	dimensions	dimension	NOUN
app01-10213	80	6	of	of	ADP
app01-10213	80	7	100	100	NUM
app01-10213	80	8	×	×	NOUN
app01-10213	80	9	100	100	NUM
app01-10213	80	10	px	px	NOUN
app01-10213	80	11	is	be	AUX
app01-10213	80	12	discretized	discretize	VERB
app01-10213	80	13	into	into	ADP
app01-10213	80	14	10	10	NUM
app01-10213	80	15	000	000	NUM
app01-10213	80	16	finite	finite	VERB
app01-10213	80	17	rectangular	rectangular	ADJ
app01-10213	80	18	elements	element	NOUN
app01-10213	80	19	.	.	PUNCT
app01-10213	81	1	the	the	DET
app01-10213	81	2	observed	observed	ADJ
app01-10213	81	3	responses	response	NOUN
app01-10213	81	4	are	be	AUX
app01-10213	81	5	displacements	displacement	NOUN
app01-10213	81	6	ux	ux	PROPN
app01-10213	81	7	,	,	PUNCT
app01-10213	81	8	uy	uy	PROPN
app01-10213	81	9	,	,	PUNCT
app01-10213	81	10	and	and	CCONJ
app01-10213	81	11	average	average	ADJ
app01-10213	81	12	stresses	stress	NOUN
app01-10213	81	13	σx	σx	NOUN
app01-10213	81	14	.	.	PROPN
app01-10213	81	15	3.1	3.1	NUM
app01-10213	81	16	.	.	PUNCT
app01-10213	82	1	random	random	ADJ
app01-10213	82	2	field	field	NOUN
app01-10213	82	3	the	the	DET
app01-10213	82	4	spatial	spatial	ADJ
app01-10213	82	5	variability	variability	NOUN
app01-10213	82	6	of	of	ADP
app01-10213	82	7	material	material	NOUN
app01-10213	82	8	properties	property	NOUN
app01-10213	82	9	is	be	AUX
app01-10213	82	10	modeled	model	VERB
app01-10213	82	11	here	here	ADV
app01-10213	82	12	by	by	ADP
app01-10213	82	13	the	the	DET
app01-10213	82	14	random	random	ADJ
app01-10213	82	15	fields	field	NOUN
app01-10213	82	16	,	,	PUNCT
app01-10213	82	17	which	which	PRON
app01-10213	82	18	are	be	AUX
app01-10213	82	19	essentially	essentially	ADV
app01-10213	82	20	dependent	dependent	ADJ
app01-10213	82	21	on	on	ADP
app01-10213	82	22	the	the	DET
app01-10213	82	23	auto	auto	NOUN
app01-10213	82	24	-	-	PUNCT
app01-10213	82	25	covariance	covariance	NOUN
app01-10213	82	26	function	function	NOUN
app01-10213	82	27	.	.	PUNCT
app01-10213	83	1	since	since	SCONJ
app01-10213	83	2	the	the	DET
app01-10213	83	3	correct	correct	ADJ
app01-10213	83	4	determination	determination	NOUN
app01-10213	83	5	of	of	ADP
app01-10213	83	6	the	the	DET
app01-10213	83	7	auto	auto	NOUN
app01-10213	83	8	-	-	PUNCT
app01-10213	83	9	covariance	covariance	NOUN
app01-10213	83	10	function	function	NOUN
app01-10213	83	11	plays	play	VERB
app01-10213	83	12	a	a	DET
app01-10213	83	13	crucial	crucial	ADJ
app01-10213	83	14	role	role	NOUN
app01-10213	83	15	,	,	PUNCT
app01-10213	83	16	several	several	ADJ
app01-10213	83	17	methods	method	NOUN
app01-10213	83	18	of	of	ADP
app01-10213	83	19	constructing	construct	VERB
app01-10213	83	20	this	this	DET
app01-10213	83	21	key	key	ADJ
app01-10213	83	22	function	function	NOUN
app01-10213	83	23	are	be	AUX
app01-10213	83	24	tested	test	VERB
app01-10213	83	25	within	within	ADP
app01-10213	83	26	this	this	DET
app01-10213	83	27	study	study	NOUN
app01-10213	83	28	.	.	PUNCT
app01-10213	84	1	the	the	DET
app01-10213	84	2	classical	classical	ADJ
app01-10213	84	3	approach	approach	NOUN
app01-10213	84	4	,	,	PUNCT
app01-10213	84	5	published	publish	VERB
app01-10213	84	6	in	in	ADP
app01-10213	84	7	literature	literature	NOUN
app01-10213	84	8	[	[	X
app01-10213	84	9	4	4	NUM
app01-10213	84	10	,	,	PUNCT
app01-10213	84	11	5	5	NUM
app01-10213	84	12	,	,	PUNCT
app01-10213	84	13	7	7	NUM
app01-10213	84	14	]	]	PUNCT
app01-10213	84	15	,	,	PUNCT
app01-10213	84	16	is	be	AUX
app01-10213	84	17	based	base	VERB
app01-10213	84	18	on	on	ADP
app01-10213	84	19	the	the	DET
app01-10213	84	20	approximation	approximation	NOUN
app01-10213	84	21	of	of	ADP
app01-10213	84	22	the	the	DET
app01-10213	84	23	covariance	covariance	NOUN
app01-10213	84	24	function	function	NOUN
app01-10213	84	25	by	by	ADP
app01-10213	84	26	the	the	DET
app01-10213	84	27	gaussian	gaussian	ADJ
app01-10213	84	28	correlation	correlation	NOUN
app01-10213	84	29	kernel	kernel	NOUN
app01-10213	84	30	,	,	PUNCT
app01-10213	84	31	which	which	PRON
app01-10213	84	32	is	be	AUX
app01-10213	84	33	a	a	DET
app01-10213	84	34	function	function	NOUN
app01-10213	84	35	of	of	ADP
app01-10213	84	36	a	a	DET
app01-10213	84	37	material	material	NOUN
app01-10213	84	38	variance	variance	NOUN
app01-10213	84	39	σ2	σ2	NOUN
app01-10213	84	40	,	,	PUNCT
app01-10213	84	41	correlation	correlation	NOUN
app01-10213	84	42	lengths	length	NOUN
app01-10213	84	43	lx	lx	NOUN
app01-10213	84	44	,	,	PUNCT
app01-10213	84	45	ly	ly	PROPN
app01-10213	84	46	,	,	PUNCT
app01-10213	84	47	and	and	CCONJ
app01-10213	84	48	the	the	DET
app01-10213	84	49	vector	vector	NOUN
app01-10213	84	50	of	of	ADP
app01-10213	84	51	relative	relative	ADJ
app01-10213	84	52	position	position	NOUN
app01-10213	84	53	r	r	NOUN
app01-10213	84	54	=	=	PUNCT
app01-10213	84	55	(	(	PUNCT
app01-10213	84	56	x−x0	x−x0	NOUN
app01-10213	84	57	,	,	PUNCT
app01-10213	84	58	y	y	PROPN
app01-10213	84	59	−y0	−y0	PROPN
app01-10213	84	60	)	)	PUNCT
app01-10213	84	61	,	,	PUNCT
app01-10213	84	62	where	where	SCONJ
app01-10213	84	63	(	(	PUNCT
app01-10213	84	64	x0	x0	PROPN
app01-10213	84	65	,	,	PUNCT
app01-10213	84	66	y0	y0	PROPN
app01-10213	84	67	)	)	PUNCT
app01-10213	84	68	are	be	AUX
app01-10213	84	69	coordinates	coordinate	NOUN
app01-10213	84	70	of	of	ADP
app01-10213	84	71	an	an	DET
app01-10213	84	72	arbitrarily	arbitrarily	ADV
app01-10213	84	73	chosen	choose	VERB
app01-10213	84	74	point	point	NOUN
app01-10213	84	75	(	(	PUNCT
app01-10213	84	76	pixel	pixel	NOUN
app01-10213	84	77	in	in	ADP
app01-10213	84	78	our	our	PRON
app01-10213	84	79	case	case	NOUN
app01-10213	84	80	)	)	PUNCT
app01-10213	84	81	.	.	PUNCT
app01-10213	85	1	the	the	DET
app01-10213	85	2	gaussian	gaussian	ADJ
app01-10213	85	3	kernel	kernel	NOUN
app01-10213	85	4	is	be	AUX
app01-10213	85	5	then	then	ADV
app01-10213	85	6	expressed	express	VERB
app01-10213	85	7	as	as	ADP
app01-10213	85	8	:	:	PUNCT
app01-10213	85	9	cg(r	cg(r	NUM
app01-10213	85	10	)	)	PUNCT
app01-10213	86	1	=	=	SYM
app01-10213	86	2	σ2	σ2	PROPN
app01-10213	86	3	·	·	PUNCT
app01-10213	86	4	exp	exp	NOUN
app01-10213	86	5	(	(	PUNCT
app01-10213	86	6	−	−	PROPN
app01-10213	86	7	(	(	PUNCT
app01-10213	86	8	x	x	SYM
app01-10213	86	9	−	−	NOUN
app01-10213	86	10	x0)2	x0)2	SYM
app01-10213	86	11	2	2	NUM
app01-10213	86	12	·	·	PUNCT
app01-10213	86	13	l2	l2	NOUN
app01-10213	86	14	x	x	X
app01-10213	86	15	−	−	PROPN
app01-10213	87	1	(	(	PUNCT
app01-10213	87	2	y	y	PROPN
app01-10213	87	3	−	−	PROPN
app01-10213	87	4	y0)2	y0)2	SYM
app01-10213	87	5	2	2	NUM
app01-10213	87	6	·	·	PUNCT
app01-10213	87	7	l2	l2	VERB
app01-10213	87	8	y	y	PROPN
app01-10213	87	9	)	)	PUNCT
app01-10213	87	10	.	.	PUNCT
app01-10213	88	1	(	(	PUNCT
app01-10213	88	2	3	3	X
app01-10213	88	3	)	)	PUNCT
app01-10213	88	4	the	the	DET
app01-10213	88	5	input	input	NOUN
app01-10213	88	6	correlation	correlation	NOUN
app01-10213	88	7	lengths	length	NOUN
app01-10213	88	8	are	be	AUX
app01-10213	88	9	chosen	choose	VERB
app01-10213	88	10	based	base	VERB
app01-10213	88	11	on	on	ADP
app01-10213	88	12	the	the	DET
app01-10213	88	13	expert	expert	NOUN
app01-10213	88	14	’s	’s	PART
app01-10213	88	15	guess	guess	NOUN
app01-10213	88	16	or	or	CCONJ
app01-10213	88	17	their	their	PRON
app01-10213	88	18	values	value	NOUN
app01-10213	88	19	can	can	AUX
app01-10213	88	20	be	be	AUX
app01-10213	88	21	estimated	estimate	VERB
app01-10213	88	22	from	from	ADP
app01-10213	88	23	the	the	DET
app01-10213	88	24	optimization	optimization	NOUN
app01-10213	88	25	process	process	NOUN
app01-10213	88	26	minimizing	minimize	VERB
app01-10213	88	27	the	the	DET
app01-10213	88	28	absolute	absolute	ADJ
app01-10213	88	29	difference	difference	NOUN
app01-10213	88	30	between	between	ADP
app01-10213	88	31	the	the	DET
app01-10213	88	32	gaussian	gaussian	ADJ
app01-10213	88	33	covariance	covariance	NOUN
app01-10213	88	34	kernel	kernel	PROPN
app01-10213	88	35	(	(	PUNCT
app01-10213	88	36	see	see	VERB
app01-10213	88	37	equation	equation	NOUN
app01-10213	88	38	(	(	PUNCT
app01-10213	88	39	3	3	NUM
app01-10213	88	40	)	)	PUNCT
app01-10213	88	41	)	)	PUNCT
app01-10213	88	42	and	and	CCONJ
app01-10213	88	43	image	image	NOUN
app01-10213	88	44	-	-	PUNCT
app01-10213	88	45	based	base	VERB
app01-10213	88	46	covariance	covariance	NOUN
app01-10213	88	47	kernel	kernel	NOUN
app01-10213	88	48	,	,	PUNCT
app01-10213	88	49	see	see	VERB
app01-10213	88	50	[	[	X
app01-10213	88	51	5	5	NUM
app01-10213	88	52	]	]	PUNCT
app01-10213	88	53	,	,	PUNCT
app01-10213	88	54	derived	derive	VERB
app01-10213	88	55	from	from	ADP
app01-10213	88	56	a	a	DET
app01-10213	88	57	two	two	NUM
app01-10213	88	58	-	-	PUNCT
app01-10213	88	59	point	point	NOUN
app01-10213	88	60	probability	probability	NOUN
app01-10213	88	61	function	function	NOUN
app01-10213	88	62	.	.	PUNCT
app01-10213	89	1	the	the	DET
app01-10213	89	2	latter	latter	ADV
app01-10213	89	3	-	-	PUNCT
app01-10213	89	4	mentioned	mention	VERB
app01-10213	89	5	approach	approach	NOUN
app01-10213	89	6	represents	represent	VERB
app01-10213	89	7	relatively	relatively	ADV
app01-10213	89	8	new	new	ADJ
app01-10213	89	9	concepts	concept	NOUN
app01-10213	89	10	of	of	ADP
app01-10213	89	11	extracting	extract	VERB
app01-10213	89	12	the	the	DET
app01-10213	89	13	spatial	spatial	ADJ
app01-10213	89	14	covariance	covariance	NOUN
app01-10213	89	15	from	from	ADP
app01-10213	89	16	images	image	NOUN
app01-10213	89	17	according	accord	VERB
app01-10213	89	18	to	to	ADP
app01-10213	89	19	the	the	DET
app01-10213	89	20	following	follow	VERB
app01-10213	89	21	formula	formula	NOUN
app01-10213	89	22	:	:	PUNCT
app01-10213	89	23	ct	ct	PROPN
app01-10213	90	1	p	p	X
app01-10213	90	2	p	p	X
app01-10213	90	3	(	(	PUNCT
app01-10213	90	4	r	r	NOUN
app01-10213	90	5	)	)	PUNCT
app01-10213	90	6	=	=	SYM
app01-10213	91	1	(	(	PUNCT
app01-10213	91	2	κ0	κ0	PRON
app01-10213	91	3	−	−	PROPN
app01-10213	91	4	κ1)2	κ1)2	NUM
app01-10213	91	5	·	·	PUNCT
app01-10213	91	6	(	(	PUNCT
app01-10213	91	7	s1	s1	PROPN
app01-10213	91	8	2(r	2(r	NUM
app01-10213	91	9	)	)	PUNCT
app01-10213	91	10	−	−	PROPN
app01-10213	91	11	(	(	PUNCT
app01-10213	91	12	c1)2	c1)2	NUM
app01-10213	91	13	)	)	PUNCT
app01-10213	91	14	,	,	PUNCT
app01-10213	91	15	(	(	PUNCT
app01-10213	91	16	4	4	X
app01-10213	91	17	)	)	PUNCT
app01-10213	91	18	where	where	SCONJ
app01-10213	91	19	κf	κf	ADP
app01-10213	91	20	is	be	AUX
app01-10213	91	21	the	the	DET
app01-10213	91	22	selected	select	VERB
app01-10213	91	23	material	material	NOUN
app01-10213	91	24	property	property	NOUN
app01-10213	91	25	(	(	PUNCT
app01-10213	91	26	e.g.	e.g.	ADV
app01-10213	91	27	poisson	poisson	PROPN
app01-10213	91	28	’s	’s	PART
app01-10213	91	29	ratio	ratio	NOUN
app01-10213	91	30	)	)	PUNCT
app01-10213	91	31	of	of	ADP
app01-10213	91	32	given	give	VERB
app01-10213	91	33	phase	phase	NOUN
app01-10213	91	34	f	f	PROPN
app01-10213	91	35	,	,	PUNCT
app01-10213	91	36	c1	c1	PROPN
app01-10213	91	37	denotes	denote	VERB
app01-10213	91	38	the	the	DET
app01-10213	91	39	volume	volume	NOUN
app01-10213	91	40	fraction	fraction	NOUN
app01-10213	91	41	of	of	ADP
app01-10213	91	42	the	the	DET
app01-10213	91	43	white	white	ADJ
app01-10213	91	44	phase	phase	NOUN
app01-10213	91	45	,	,	PUNCT
app01-10213	91	46	s1	s1	PROPN
app01-10213	91	47	2	2	NUM
app01-10213	91	48	is	be	AUX
app01-10213	91	49	the	the	DET
app01-10213	91	50	two	two	NUM
app01-10213	91	51	-	-	PUNCT
app01-10213	91	52	point	point	NOUN
app01-10213	91	53	probability	probability	NOUN
app01-10213	91	54	function	function	NOUN
app01-10213	91	55	computed	compute	VERB
app01-10213	91	56	by	by	ADP
app01-10213	91	57	the	the	DET
app01-10213	91	58	fast	fast	ADJ
app01-10213	91	59	fourier	fourier	NOUN
app01-10213	91	60	transformation	transformation	NOUN
app01-10213	91	61	,	,	PUNCT
app01-10213	91	62	see	see	VERB
app01-10213	91	63	[	[	X
app01-10213	91	64	7	7	NUM
app01-10213	91	65	]	]	PUNCT
app01-10213	91	66	,	,	PUNCT
app01-10213	91	67	as	as	ADP
app01-10213	91	68	:	:	PUNCT
app01-10213	91	69	sf	sf	NOUN
app01-10213	91	70	2	2	NUM
app01-10213	91	71	(	(	PUNCT
app01-10213	91	72	r	r	NOUN
app01-10213	91	73	)	)	PUNCT
app01-10213	91	74	=	=	NOUN
app01-10213	91	75	idft	idft	NOUN
app01-10213	91	76	{	{	PUNCT
app01-10213	91	77	dft{χf	dft{χf	NOUN
app01-10213	91	78	(	(	PUNCT
app01-10213	91	79	r)}dft{χf	r)}dft{χf	NOUN
app01-10213	91	80	(	(	PUNCT
app01-10213	91	81	r	r	NOUN
app01-10213	91	82	)	)	PUNCT
app01-10213	91	83	}	}	PUNCT
app01-10213	91	84	}	}	PUNCT
app01-10213	91	85	nx	nx	X
app01-10213	91	86	·	·	PUNCT
app01-10213	91	87	ny	ny	PROPN
app01-10213	91	88	,	,	PUNCT
app01-10213	91	89	(	(	PUNCT
app01-10213	91	90	5	5	X
app01-10213	91	91	)	)	PUNCT
app01-10213	91	92	where	where	SCONJ
app01-10213	91	93	dft	dft	PROPN
app01-10213	91	94	is	be	AUX
app01-10213	91	95	the	the	DET
app01-10213	91	96	discrete	discrete	ADJ
app01-10213	91	97	fourier	fourier	NOUN
app01-10213	91	98	transformation	transformation	NOUN
app01-10213	91	99	,	,	PUNCT
app01-10213	91	100	idft	idft	NOUN
app01-10213	91	101	is	be	AUX
app01-10213	91	102	the	the	DET
app01-10213	91	103	inverse	inverse	NOUN
app01-10213	91	104	discrete	discrete	ADJ
app01-10213	91	105	fourier	fourier	NOUN
app01-10213	91	106	transformation	transformation	NOUN
app01-10213	91	107	,	,	PUNCT
app01-10213	91	108	·	·	PUNCT
app01-10213	91	109	·	·	PUNCT
app01-10213	91	110	·	·	PUNCT
app01-10213	91	111	stands	stand	VERB
app01-10213	91	112	for	for	ADP
app01-10213	91	113	the	the	DET
app01-10213	91	114	complex	complex	ADJ
app01-10213	91	115	conjugate	conjugate	NOUN
app01-10213	91	116	,	,	PUNCT
app01-10213	91	117	nx	nx	X
app01-10213	91	118	·	·	PUNCT
app01-10213	91	119	ny	ny	PROPN
app01-10213	91	120	is	be	AUX
app01-10213	91	121	the	the	DET
app01-10213	91	122	image	image	NOUN
app01-10213	91	123	area	area	NOUN
app01-10213	91	124	,	,	PUNCT
app01-10213	91	125	f	f	PROPN
app01-10213	91	126	is	be	AUX
app01-10213	91	127	the	the	DET
app01-10213	91	128	given	give	VERB
app01-10213	91	129	phase	phase	NOUN
app01-10213	91	130	,	,	PUNCT
app01-10213	91	131	χf	χf	VERB
app01-10213	91	132	is	be	AUX
app01-10213	91	133	the	the	DET
app01-10213	91	134	characteristic	characteristic	ADJ
app01-10213	91	135	function	function	NOUN
app01-10213	91	136	defined	define	VERB
app01-10213	91	137	as	as	ADP
app01-10213	91	138	:	:	PUNCT
app01-10213	91	139	χf	χf	PROPN
app01-10213	91	140	(	(	PUNCT
app01-10213	91	141	x	x	X
app01-10213	91	142	)	)	PUNCT
app01-10213	91	143	=	=	SYM
app01-10213	91	144	{	{	PUNCT
app01-10213	91	145	1	1	NUM
app01-10213	91	146	if	if	SCONJ
app01-10213	91	147	the	the	DET
app01-10213	91	148	point	point	NOUN
app01-10213	91	149	x	x	PUNCT
app01-10213	91	150	lies	lie	VERB
app01-10213	91	151	in	in	ADP
app01-10213	91	152	the	the	DET
app01-10213	91	153	phase	phase	NOUN
app01-10213	91	154	f	f	X
app01-10213	91	155	,	,	PUNCT
app01-10213	91	156	0	0	NUM
app01-10213	91	157	otherwise	otherwise	ADV
app01-10213	91	158	.	.	PUNCT
app01-10213	92	1	(	(	PUNCT
app01-10213	92	2	6	6	NUM
app01-10213	92	3	)	)	SYM
app01-10213	92	4	80	80	NUM
app01-10213	92	5	vol	vol	NOUN
app01-10213	92	6	.	.	PUNCT
app01-10213	93	1	49/2024	49/2024	NUM
app01-10213	93	2	image	image	NOUN
app01-10213	93	3	-	-	PUNCT
app01-10213	93	4	based	base	VERB
app01-10213	93	5	rf	rf	NOUN
app01-10213	93	6	in	in	ADP
app01-10213	93	7	numerical	numerical	ADJ
app01-10213	93	8	modeling	modeling	NOUN
app01-10213	93	9	of	of	ADP
app01-10213	93	10	heterogeneous	heterogeneous	ADJ
app01-10213	93	11	materials	material	NOUN
app01-10213	93	12	if	if	SCONJ
app01-10213	93	13	the	the	DET
app01-10213	93	14	non	non	ADJ
app01-10213	93	15	-	-	ADJ
app01-10213	93	16	periodic	periodic	ADJ
app01-10213	93	17	medium	medium	NOUN
app01-10213	93	18	is	be	AUX
app01-10213	93	19	considered	consider	VERB
app01-10213	93	20	,	,	PUNCT
app01-10213	93	21	the	the	DET
app01-10213	93	22	formula	formula	NOUN
app01-10213	93	23	used	use	VERB
app01-10213	93	24	for	for	ADP
app01-10213	93	25	the	the	DET
app01-10213	93	26	evaluation	evaluation	NOUN
app01-10213	93	27	of	of	ADP
app01-10213	93	28	a	a	DET
app01-10213	93	29	two	two	NUM
app01-10213	93	30	-	-	PUNCT
app01-10213	93	31	point	point	NOUN
app01-10213	93	32	probability	probability	NOUN
app01-10213	93	33	function	function	NOUN
app01-10213	93	34	arises	arise	VERB
app01-10213	93	35	directly	directly	ADV
app01-10213	93	36	from	from	ADP
app01-10213	93	37	its	its	PRON
app01-10213	93	38	definition	definition	NOUN
app01-10213	93	39	:	:	PUNCT
app01-10213	93	40	sf	sf	NOUN
app01-10213	93	41	2	2	NUM
app01-10213	93	42	(	(	PUNCT
app01-10213	93	43	x	x	NOUN
app01-10213	93	44	,	,	PUNCT
app01-10213	93	45	x′	x′	NUM
app01-10213	93	46	)	)	PUNCT
app01-10213	93	47	=	=	SYM
app01-10213	93	48	∑(2·nx−dx−1	∑(2·nx−dx−1	NOUN
app01-10213	93	49	)	)	PUNCT
app01-10213	93	50	x=0	x=0	SYM
app01-10213	94	1	∑(2·ny−dy−1	∑(2·ny−dy−1	NOUN
app01-10213	94	2	)	)	PUNCT
app01-10213	95	1	y=0	y=0	PRON
app01-10213	95	2	χf	χf	VERB
app01-10213	95	3	(	(	PUNCT
app01-10213	95	4	x)χf	x)χf	PROPN
app01-10213	95	5	(	(	PUNCT
app01-10213	95	6	x′	x′	NUM
app01-10213	95	7	)	)	PUNCT
app01-10213	95	8	(	(	PUNCT
app01-10213	95	9	2nx	2nx	ADJ
app01-10213	95	10	−	−	PROPN
app01-10213	95	11	dx	dx	PROPN
app01-10213	95	12	)	)	PUNCT
app01-10213	95	13	·	·	PUNCT
app01-10213	96	1	(	(	PUNCT
app01-10213	96	2	2ny	2ny	ADJ
app01-10213	96	3	−	−	NOUN
app01-10213	96	4	dy	dy	NOUN
app01-10213	96	5	)	)	PUNCT
app01-10213	96	6	,	,	PUNCT
app01-10213	96	7	(	(	PUNCT
app01-10213	96	8	7	7	X
app01-10213	96	9	)	)	PUNCT
app01-10213	96	10	where	where	SCONJ
app01-10213	96	11	x	x	X
app01-10213	96	12	=	=	PRON
app01-10213	96	13	(	(	PUNCT
app01-10213	96	14	x	x	NOUN
app01-10213	96	15	,	,	PUNCT
app01-10213	96	16	y	y	NOUN
app01-10213	96	17	)	)	PUNCT
app01-10213	96	18	are	be	AUX
app01-10213	96	19	the	the	DET
app01-10213	96	20	coordinates	coordinate	NOUN
app01-10213	96	21	of	of	ADP
app01-10213	96	22	the	the	DET
app01-10213	96	23	starting	starting	NOUN
app01-10213	96	24	point	point	NOUN
app01-10213	96	25	,	,	PUNCT
app01-10213	96	26	x′	x′	PROPN
app01-10213	96	27	=	=	SYM
app01-10213	96	28	(	(	PUNCT
app01-10213	96	29	x+dx	x+dx	NOUN
app01-10213	96	30	,	,	PUNCT
app01-10213	96	31	y+dy	y+dy	NOUN
app01-10213	96	32	)	)	PUNCT
app01-10213	96	33	are	be	AUX
app01-10213	96	34	the	the	DET
app01-10213	96	35	coordinates	coordinate	NOUN
app01-10213	96	36	of	of	ADP
app01-10213	96	37	the	the	DET
app01-10213	96	38	ending	ending	NOUN
app01-10213	96	39	point	point	NOUN
app01-10213	96	40	.	.	PUNCT
app01-10213	97	1	finally	finally	ADV
app01-10213	97	2	,	,	PUNCT
app01-10213	97	3	the	the	DET
app01-10213	97	4	auto	auto	NOUN
app01-10213	97	5	-	-	PUNCT
app01-10213	97	6	covariance	covariance	NOUN
app01-10213	97	7	matrix	matrix	NOUN
app01-10213	97	8	entering	enter	VERB
app01-10213	97	9	the	the	DET
app01-10213	97	10	random	random	ADJ
app01-10213	97	11	field	field	NOUN
app01-10213	97	12	construction	construction	NOUN
app01-10213	97	13	is	be	AUX
app01-10213	97	14	obtained	obtain	VERB
app01-10213	97	15	as	as	ADP
app01-10213	97	16	a	a	DET
app01-10213	97	17	resulting	result	VERB
app01-10213	97	18	covariance	covariance	NOUN
app01-10213	97	19	computed	compute	VERB
app01-10213	97	20	from	from	ADP
app01-10213	97	21	equations	equation	NOUN
app01-10213	97	22	(	(	PUNCT
app01-10213	97	23	3	3	NUM
app01-10213	97	24	)	)	PUNCT
app01-10213	97	25	or	or	CCONJ
app01-10213	97	26	(	(	PUNCT
app01-10213	97	27	4	4	NUM
app01-10213	97	28	)	)	PUNCT
app01-10213	97	29	,	,	PUNCT
app01-10213	97	30	which	which	PRON
app01-10213	97	31	is	be	AUX
app01-10213	97	32	further	far	ADV
app01-10213	97	33	reassembled	reassemble	VERB
app01-10213	97	34	into	into	ADP
app01-10213	97	35	the	the	DET
app01-10213	97	36	row	row	NOUN
app01-10213	97	37	vector	vector	NOUN
app01-10213	97	38	.	.	PUNCT
app01-10213	98	1	then	then	ADV
app01-10213	98	2	,	,	PUNCT
app01-10213	98	3	this	this	DET
app01-10213	98	4	reshaped	reshaped	ADJ
app01-10213	98	5	product	product	NOUN
app01-10213	98	6	determines	determine	VERB
app01-10213	98	7	the	the	DET
app01-10213	98	8	first	first	ADJ
app01-10213	98	9	row	row	NOUN
app01-10213	98	10	in	in	ADP
app01-10213	98	11	a	a	DET
app01-10213	98	12	symmetric	symmetric	ADJ
app01-10213	98	13	square	square	ADJ
app01-10213	98	14	toeplitz	toeplitz	NOUN
app01-10213	98	15	matrix	matrix	NOUN
app01-10213	98	16	representing	represent	VERB
app01-10213	98	17	the	the	DET
app01-10213	98	18	autocovariance	autocovariance	NOUN
app01-10213	98	19	matrix	matrix	NOUN
app01-10213	98	20	such	such	ADJ
app01-10213	98	21	that	that	DET
app01-10213	98	22	ci	ci	PROPN
app01-10213	98	23	,	,	PUNCT
app01-10213	98	24	j	j	PROPN
app01-10213	98	25	=	=	SYM
app01-10213	98	26	ci+1,j+1	ci+1,j+1	PROPN
app01-10213	98	27	.	.	PUNCT
app01-10213	99	1	another	another	DET
app01-10213	99	2	possibility	possibility	NOUN
app01-10213	99	3	of	of	ADP
app01-10213	99	4	computing	compute	VERB
app01-10213	99	5	the	the	DET
app01-10213	99	6	auto	auto	NOUN
app01-10213	99	7	-	-	PUNCT
app01-10213	99	8	covariance	covariance	NOUN
app01-10213	99	9	matrix	matrix	NOUN
app01-10213	99	10	is	be	AUX
app01-10213	99	11	directly	directly	ADV
app01-10213	99	12	from	from	ADP
app01-10213	99	13	the	the	DET
app01-10213	99	14	definition	definition	NOUN
app01-10213	99	15	itself	itself	PRON
app01-10213	99	16	.	.	PUNCT
app01-10213	100	1	based	base	VERB
app01-10213	100	2	on	on	ADP
app01-10213	100	3	the	the	DET
app01-10213	100	4	assumption	assumption	NOUN
app01-10213	100	5	that	that	SCONJ
app01-10213	100	6	our	our	PRON
app01-10213	100	7	original	original	ADJ
app01-10213	100	8	domain	domain	NOUN
app01-10213	100	9	is	be	AUX
app01-10213	100	10	sufficiently	sufficiently	ADV
app01-10213	100	11	large	large	ADJ
app01-10213	100	12	enough	enough	ADV
app01-10213	100	13	,	,	PUNCT
app01-10213	100	14	many	many	ADJ
app01-10213	100	15	independent	independent	ADJ
app01-10213	100	16	samples	sample	NOUN
app01-10213	100	17	are	be	AUX
app01-10213	100	18	collected	collect	VERB
app01-10213	100	19	via	via	ADP
app01-10213	100	20	a	a	DET
app01-10213	100	21	window	window	NOUN
app01-10213	100	22	of	of	ADP
app01-10213	100	23	predefined	predefine	VERB
app01-10213	100	24	dimensions	dimension	NOUN
app01-10213	100	25	randomly	randomly	ADV
app01-10213	100	26	placed	place	VERB
app01-10213	100	27	in	in	ADP
app01-10213	100	28	the	the	DET
app01-10213	100	29	original	original	ADJ
app01-10213	100	30	structure	structure	NOUN
app01-10213	100	31	.	.	PUNCT
app01-10213	101	1	each	each	PRON
app01-10213	101	2	of	of	ADP
app01-10213	101	3	these	these	DET
app01-10213	101	4	cut	cut	NOUN
app01-10213	101	5	-	-	PUNCT
app01-10213	101	6	outs	out	NOUN
app01-10213	101	7	can	can	AUX
app01-10213	101	8	be	be	AUX
app01-10213	101	9	then	then	ADV
app01-10213	101	10	rearranged	rearrange	VERB
app01-10213	101	11	into	into	ADP
app01-10213	101	12	a	a	DET
app01-10213	101	13	row	row	NOUN
app01-10213	101	14	vector	vector	NOUN
app01-10213	101	15	,	,	PUNCT
app01-10213	101	16	and	and	CCONJ
app01-10213	101	17	subsequently	subsequently	ADV
app01-10213	101	18	,	,	PUNCT
app01-10213	101	19	the	the	DET
app01-10213	101	20	auto	auto	NOUN
app01-10213	101	21	-	-	PUNCT
app01-10213	101	22	covariance	covariance	NOUN
app01-10213	101	23	is	be	AUX
app01-10213	101	24	calculated	calculate	VERB
app01-10213	101	25	as	as	SCONJ
app01-10213	101	26	follows	follow	VERB
app01-10213	101	27	:	:	PUNCT
app01-10213	101	28	cs(x	cs(x	NOUN
app01-10213	101	29	,	,	PUNCT
app01-10213	101	30	x	x	NOUN
app01-10213	101	31	′	′	NUM
app01-10213	101	32	)	)	PUNCT
app01-10213	102	1	=	=	SYM
app01-10213	102	2	e[(x	e[(x	NOUN
app01-10213	102	3	−	−	PROPN
app01-10213	102	4	e(x))(x	e(x))(x	PROPN
app01-10213	102	5	′	′	NUM
app01-10213	103	1	−	−	PROPN
app01-10213	103	2	e(x	e(x	NUM
app01-10213	103	3	′	′	NUM
app01-10213	103	4	)	)	PUNCT
app01-10213	103	5	)	)	PUNCT
app01-10213	103	6	]	]	PUNCT
app01-10213	103	7	.	.	PUNCT
app01-10213	104	1	(	(	PUNCT
app01-10213	104	2	8)	8)	NUM
app01-10213	104	3	3.1.1	3.1.1	NUM
app01-10213	104	4	.	.	PUNCT
app01-10213	105	1	karhunen	karhunen	NOUN
app01-10213	105	2	-	-	PUNCT
app01-10213	105	3	loève	loève	NOUN
app01-10213	105	4	expansion	expansion	NOUN
app01-10213	105	5	the	the	DET
app01-10213	105	6	karhunen	karhunen	NOUN
app01-10213	105	7	-	-	PUNCT
app01-10213	105	8	loève	loève	NOUN
app01-10213	105	9	expansion	expansion	NOUN
app01-10213	105	10	is	be	AUX
app01-10213	105	11	an	an	DET
app01-10213	105	12	extremely	extremely	ADV
app01-10213	105	13	useful	useful	ADJ
app01-10213	105	14	tool	tool	NOUN
app01-10213	105	15	representing	represent	VERB
app01-10213	105	16	the	the	DET
app01-10213	105	17	stochastic	stochastic	ADJ
app01-10213	105	18	process	process	NOUN
app01-10213	105	19	as	as	ADP
app01-10213	105	20	an	an	DET
app01-10213	105	21	infinite	infinite	ADJ
app01-10213	105	22	linear	linear	ADJ
app01-10213	105	23	combination	combination	NOUN
app01-10213	105	24	of	of	ADP
app01-10213	105	25	orthogonal	orthogonal	ADJ
app01-10213	105	26	functions	function	NOUN
app01-10213	105	27	.	.	PUNCT
app01-10213	106	1	based	base	VERB
app01-10213	106	2	on	on	ADP
app01-10213	106	3	the	the	DET
app01-10213	106	4	spectral	spectral	ADJ
app01-10213	106	5	decomposition	decomposition	NOUN
app01-10213	106	6	of	of	ADP
app01-10213	106	7	the	the	DET
app01-10213	106	8	discretized	discretized	ADJ
app01-10213	106	9	form	form	NOUN
app01-10213	106	10	of	of	ADP
app01-10213	106	11	the	the	DET
app01-10213	106	12	auto	auto	NOUN
app01-10213	106	13	-	-	PUNCT
app01-10213	106	14	covariance	covariance	NOUN
app01-10213	106	15	function	function	NOUN
app01-10213	106	16	c(x	c(x	NOUN
app01-10213	106	17	,	,	PUNCT
app01-10213	106	18	x	x	NOUN
app01-10213	106	19	′	′	NUM
app01-10213	106	20	)	)	PUNCT
app01-10213	106	21	,	,	PUNCT
app01-10213	106	22	and	and	CCONJ
app01-10213	106	23	the	the	DET
app01-10213	106	24	orthogonality	orthogonality	NOUN
app01-10213	106	25	of	of	ADP
app01-10213	106	26	eigenfunctions	eigenfunction	NOUN
app01-10213	106	27	ϕi	ϕi	ADP
app01-10213	106	28	,	,	PUNCT
app01-10213	106	29	the	the	DET
app01-10213	106	30	gaussian	gaussian	ADJ
app01-10213	106	31	random	random	ADJ
app01-10213	106	32	field	field	NOUN
app01-10213	106	33	of	of	ADP
app01-10213	106	34	parameter	parameter	NOUN
app01-10213	106	35	κ(ω	κ(ω	PROPN
app01-10213	106	36	)	)	PUNCT
app01-10213	106	37	can	can	AUX
app01-10213	106	38	be	be	AUX
app01-10213	106	39	written	write	VERB
app01-10213	106	40	as	as	ADP
app01-10213	106	41	:	:	PUNCT
app01-10213	106	42	κ(ω	κ(ω	PROPN
app01-10213	106	43	)	)	PUNCT
app01-10213	107	1	≈	≈	NOUN
app01-10213	107	2	κµ	κµ	ADV
app01-10213	107	3	+	+	PRON
app01-10213	107	4	s	s	VERB
app01-10213	107	5	nϕ∑	nϕ∑	PROPN
app01-10213	107	6	i=1	i=1	PROPN
app01-10213	107	7	√	√	NUM
app01-10213	107	8	φiϕiξi(ω	φiϕiξi(ω	NUM
app01-10213	107	9	)	)	PUNCT
app01-10213	107	10	,	,	PUNCT
app01-10213	107	11	(	(	PUNCT
app01-10213	107	12	9	9	X
app01-10213	107	13	)	)	PUNCT
app01-10213	107	14	where	where	SCONJ
app01-10213	107	15	ξi(ω	ξi(ω	PUNCT
app01-10213	107	16	)	)	PUNCT
app01-10213	107	17	is	be	AUX
app01-10213	107	18	the	the	DET
app01-10213	107	19	standard	standard	ADJ
app01-10213	107	20	independent	independent	ADJ
app01-10213	107	21	and	and	CCONJ
app01-10213	107	22	identically	identically	ADV
app01-10213	107	23	distributed	distribute	VERB
app01-10213	107	24	random	random	ADJ
app01-10213	107	25	variable	variable	NOUN
app01-10213	107	26	,	,	PUNCT
app01-10213	107	27	κµ	κµ	ADV
app01-10213	107	28	is	be	AUX
app01-10213	107	29	the	the	DET
app01-10213	107	30	mean	mean	NOUN
app01-10213	107	31	of	of	ADP
app01-10213	107	32	material	material	NOUN
app01-10213	107	33	parameters	parameter	NOUN
app01-10213	107	34	,	,	PUNCT
app01-10213	107	35	s	s	VERB
app01-10213	107	36	is	be	AUX
app01-10213	107	37	the	the	DET
app01-10213	107	38	standard	standard	ADJ
app01-10213	107	39	deviation	deviation	NOUN
app01-10213	107	40	of	of	ADP
app01-10213	107	41	material	material	NOUN
app01-10213	107	42	parameters	parameter	NOUN
app01-10213	107	43	,	,	PUNCT
app01-10213	107	44	φi	φi	ADV
app01-10213	107	45	represents	represent	VERB
app01-10213	107	46	a	a	DET
app01-10213	107	47	corresponding	corresponding	ADJ
app01-10213	107	48	eigenvalue	eigenvalue	NOUN
app01-10213	107	49	,	,	PUNCT
app01-10213	107	50	nϕ	nϕ	X
app01-10213	107	51	is	be	AUX
app01-10213	107	52	the	the	DET
app01-10213	107	53	number	number	NOUN
app01-10213	107	54	of	of	ADP
app01-10213	107	55	eigenmodes	eigenmode	NOUN
app01-10213	107	56	.	.	PUNCT
app01-10213	108	1	smaller	small	ADJ
app01-10213	108	2	values	value	NOUN
app01-10213	108	3	of	of	ADP
app01-10213	108	4	nϕ	nϕ	INTJ
app01-10213	108	5	lead	lead	NOUN
app01-10213	108	6	to	to	ADP
app01-10213	108	7	more	more	ADV
app01-10213	108	8	significant	significant	ADJ
app01-10213	108	9	dimensionality	dimensionality	NOUN
app01-10213	108	10	reduction	reduction	NOUN
app01-10213	108	11	,	,	PUNCT
app01-10213	108	12	and	and	CCONJ
app01-10213	108	13	oppositely	oppositely	ADV
app01-10213	108	14	,	,	PUNCT
app01-10213	108	15	higher	high	ADJ
app01-10213	108	16	values	value	NOUN
app01-10213	108	17	give	give	VERB
app01-10213	108	18	better	well	ADJ
app01-10213	108	19	descriptions	description	NOUN
app01-10213	108	20	of	of	ADP
app01-10213	108	21	the	the	DET
app01-10213	108	22	resulting	result	VERB
app01-10213	108	23	random	random	ADJ
app01-10213	108	24	field	field	NOUN
app01-10213	108	25	.	.	PUNCT
app01-10213	109	1	the	the	DET
app01-10213	109	2	log	log	NOUN
app01-10213	109	3	-	-	PUNCT
app01-10213	109	4	normal	normal	ADJ
app01-10213	109	5	formulation	formulation	NOUN
app01-10213	109	6	of	of	ADP
app01-10213	109	7	the	the	DET
app01-10213	109	8	random	random	ADJ
app01-10213	109	9	field	field	NOUN
app01-10213	109	10	κln(ω	κln(ω	NOUN
app01-10213	109	11	)	)	PUNCT
app01-10213	109	12	stemming	stem	VERB
app01-10213	109	13	from	from	ADP
app01-10213	109	14	the	the	DET
app01-10213	109	15	gaussian	gaussian	ADJ
app01-10213	109	16	expression	expression	NOUN
app01-10213	109	17	is	be	AUX
app01-10213	109	18	given	give	VERB
app01-10213	109	19	by	by	ADP
app01-10213	109	20	:	:	PUNCT
app01-10213	109	21	κln(ω	κln(ω	PROPN
app01-10213	109	22	)	)	PUNCT
app01-10213	109	23	≈	≈	PROPN
app01-10213	109	24	exp	exp	NOUN
app01-10213	109	25	(	(	PUNCT
app01-10213	109	26	κµ,g	κµ,g	X
app01-10213	109	27	+	+	CCONJ
app01-10213	109	28	sg	sg	NOUN
app01-10213	109	29	∑nϕ	∑nϕ	PUNCT
app01-10213	109	30	i=1	i=1	PROPN
app01-10213	109	31	√	√	VERB
app01-10213	109	32	φiϕiξi(ω)√∑nϕ	φiϕiξi(ω)√∑nϕ	PROPN
app01-10213	109	33	i=1(√φiϕi)2	i=1(√φiϕi)2	PROPN
app01-10213	109	34	)	)	PUNCT
app01-10213	109	35	,	,	PUNCT
app01-10213	109	36	(	(	PUNCT
app01-10213	109	37	10	10	X
app01-10213	109	38	)	)	PUNCT
app01-10213	109	39	tag	tag	NOUN
app01-10213	109	40	label	label	NOUN
app01-10213	109	41	cov	cov	NOUN
app01-10213	109	42	.	.	PUNCT
app01-10213	110	1	correlation	correlation	NOUN
app01-10213	110	2	trimmed	trim	VERB
app01-10213	110	3	kernel	kernel	PROPN
app01-10213	110	4	length	length	NOUN
app01-10213	110	5	#	#	SYM
app01-10213	110	6	1	1	NUM
app01-10213	110	7	gauss	gauss	NOUN
app01-10213	110	8	(	(	PUNCT
app01-10213	110	9	3	3	X
app01-10213	110	10	)	)	PUNCT
app01-10213	110	11	lopt	lopt	VERB
app01-10213	110	12	no	no	DET
app01-10213	110	13	#	#	SYM
app01-10213	110	14	2	2	NUM
app01-10213	110	15	gauss	gauss	NOUN
app01-10213	110	16	t	t	PROPN
app01-10213	110	17	(	(	PUNCT
app01-10213	110	18	3	3	NUM
app01-10213	110	19	)	)	PUNCT
app01-10213	110	20	lopt	lopt	VERB
app01-10213	110	21	yes	yes	NOUN
app01-10213	110	22	#	#	SYM
app01-10213	110	23	3	3	NUM
app01-10213	110	24	tpp	tpp	NOUN
app01-10213	110	25	(	(	PUNCT
app01-10213	110	26	4	4	NUM
app01-10213	110	27	)	)	PUNCT
app01-10213	111	1	−	−	PROPN
app01-10213	112	1	no	no	DET
app01-10213	112	2	#	#	SYM
app01-10213	112	3	4	4	NUM
app01-10213	112	4	tpp	tpp	PROPN
app01-10213	112	5	t	t	PROPN
app01-10213	112	6	(	(	PUNCT
app01-10213	112	7	4	4	NUM
app01-10213	112	8	)	)	PUNCT
app01-10213	112	9	−	−	NOUN
app01-10213	113	1	yes	yes	INTJ
app01-10213	114	1	#	#	SYM
app01-10213	114	2	5	5	NUM
app01-10213	114	3	s	s	NOUN
app01-10213	114	4	(	(	PUNCT
app01-10213	114	5	8)	8)	NUM
app01-10213	114	6	−	−	NOUN
app01-10213	114	7	no	no	PRON
app01-10213	114	8	#	#	SYM
app01-10213	114	9	6	6	NUM
app01-10213	114	10	s	s	PART
app01-10213	114	11	t	t	NOUN
app01-10213	114	12	(	(	PUNCT
app01-10213	114	13	8)	8)	NUM
app01-10213	114	14	−	−	NOUN
app01-10213	115	1	yes	yes	INTJ
app01-10213	115	2	#	#	SYM
app01-10213	115	3	7	7	NUM
app01-10213	115	4	gauss	gauss	NOUN
app01-10213	115	5	+	+	CCONJ
app01-10213	115	6	(	(	PUNCT
app01-10213	115	7	3	3	NUM
app01-10213	115	8	)	)	SYM
app01-10213	115	9	2	2	NUM
app01-10213	115	10	·	·	PUNCT
app01-10213	115	11	lopt	lopt	VERB
app01-10213	115	12	no	no	DET
app01-10213	115	13	#	#	SYM
app01-10213	115	14	8	8	NUM
app01-10213	115	15	gauss	gauss	NOUN
app01-10213	115	16	+	+	X
app01-10213	115	17	t	t	PROPN
app01-10213	115	18	(	(	PUNCT
app01-10213	115	19	3	3	NUM
app01-10213	115	20	)	)	SYM
app01-10213	115	21	2	2	NUM
app01-10213	115	22	·	·	PUNCT
app01-10213	115	23	lopt	lopt	VERB
app01-10213	115	24	yes	yes	INTJ
app01-10213	115	25	#	#	SYM
app01-10213	115	26	9	9	NUM
app01-10213	115	27	gauss	gauss	NOUN
app01-10213	116	1	+	+	PROPN
app01-10213	116	2	+	+	CCONJ
app01-10213	116	3	(	(	PUNCT
app01-10213	116	4	3	3	NUM
app01-10213	116	5	)	)	PUNCT
app01-10213	116	6	10	10	NUM
app01-10213	116	7	·	·	PUNCT
app01-10213	116	8	lopt	lopt	VERB
app01-10213	116	9	no	no	DET
app01-10213	116	10	#	#	SYM
app01-10213	116	11	10	10	NUM
app01-10213	116	12	gauss	gauss	ADJ
app01-10213	116	13	+	+	PROPN
app01-10213	116	14	+	+	PROPN
app01-10213	116	15	t	t	NOUN
app01-10213	116	16	(	(	PUNCT
app01-10213	116	17	3	3	NUM
app01-10213	116	18	)	)	PUNCT
app01-10213	116	19	10	10	NUM
app01-10213	116	20	·	·	PUNCT
app01-10213	116	21	lopt	lopt	VERB
app01-10213	116	22	yes	yes	NOUN
app01-10213	116	23	#	#	SYM
app01-10213	116	24	11	11	NUM
app01-10213	116	25	gauss	gauss	NOUN
app01-10213	116	26	−	−	PROPN
app01-10213	116	27	(	(	PUNCT
app01-10213	116	28	3	3	NUM
app01-10213	116	29	)	)	SYM
app01-10213	116	30	1	1	NUM
app01-10213	116	31	2	2	NUM
app01-10213	116	32	·	·	PUNCT
app01-10213	116	33	lopt	lopt	VERB
app01-10213	116	34	no	no	DET
app01-10213	116	35	#	#	SYM
app01-10213	116	36	12	12	NUM
app01-10213	116	37	gauss	gauss	NOUN
app01-10213	116	38	−	−	PROPN
app01-10213	116	39	t	t	PROPN
app01-10213	116	40	(	(	PUNCT
app01-10213	116	41	3	3	NUM
app01-10213	116	42	)	)	SYM
app01-10213	116	43	1	1	NUM
app01-10213	116	44	2	2	NUM
app01-10213	116	45	·	·	PUNCT
app01-10213	116	46	lopt	lopt	VERB
app01-10213	116	47	yes	yes	NOUN
app01-10213	116	48	#	#	SYM
app01-10213	116	49	13	13	NUM
app01-10213	116	50	gauss	gauss	ADJ
app01-10213	116	51	−−	−−	NOUN
app01-10213	116	52	(	(	PUNCT
app01-10213	116	53	3	3	NUM
app01-10213	116	54	)	)	PUNCT
app01-10213	116	55	1	1	NUM
app01-10213	116	56	10	10	NUM
app01-10213	116	57	·	·	PUNCT
app01-10213	116	58	lopt	lopt	VERB
app01-10213	116	59	no	no	DET
app01-10213	116	60	#	#	SYM
app01-10213	116	61	14	14	NUM
app01-10213	116	62	gauss	gauss	PROPN
app01-10213	116	63	−−	−−	PROPN
app01-10213	116	64	t	t	PROPN
app01-10213	116	65	(	(	PUNCT
app01-10213	116	66	3	3	NUM
app01-10213	116	67	)	)	PUNCT
app01-10213	116	68	1	1	NUM
app01-10213	116	69	10	10	NUM
app01-10213	116	70	·	·	PUNCT
app01-10213	116	71	lopt	lopt	VERB
app01-10213	116	72	yes	yes	INTJ
app01-10213	116	73	table	table	NOUN
app01-10213	116	74	2	2	NUM
app01-10213	116	75	.	.	PUNCT
app01-10213	116	76	description	description	NOUN
app01-10213	116	77	of	of	ADP
app01-10213	116	78	all	all	DET
app01-10213	116	79	tested	test	VERB
app01-10213	116	80	random	random	ADJ
app01-10213	116	81	field	field	NOUN
app01-10213	116	82	constructions	construction	NOUN
app01-10213	116	83	.	.	PUNCT
app01-10213	117	1	the	the	DET
app01-10213	117	2	first	first	ADJ
app01-10213	117	3	six	six	NUM
app01-10213	117	4	versions	version	NOUN
app01-10213	117	5	#	#	SYM
app01-10213	117	6	1–#6	1–#6	NUM
app01-10213	117	7	characterized	characterize	VERB
app01-10213	117	8	the	the	DET
app01-10213	117	9	main	main	ADJ
app01-10213	117	10	approaches	approach	NOUN
app01-10213	117	11	of	of	ADP
app01-10213	117	12	constructing	construct	VERB
app01-10213	117	13	random	random	ADJ
app01-10213	117	14	fields	field	NOUN
app01-10213	117	15	.	.	PUNCT
app01-10213	118	1	the	the	DET
app01-10213	118	2	rest	rest	NOUN
app01-10213	118	3	of	of	ADP
app01-10213	118	4	them	they	PRON
app01-10213	118	5	#	#	SYM
app01-10213	118	6	7–#14	7–#14	NUM
app01-10213	118	7	served	serve	VERB
app01-10213	118	8	for	for	ADP
app01-10213	118	9	simulating	simulate	VERB
app01-10213	118	10	the	the	DET
app01-10213	118	11	wrong	wrong	ADJ
app01-10213	118	12	initial	initial	ADJ
app01-10213	118	13	guess	guess	NOUN
app01-10213	118	14	of	of	ADP
app01-10213	118	15	experts	expert	NOUN
app01-10213	118	16	about	about	ADP
app01-10213	118	17	correlation	correlation	NOUN
app01-10213	118	18	lengths	length	NOUN
app01-10213	118	19	.	.	PUNCT
app01-10213	119	1	where	where	SCONJ
app01-10213	119	2	κµ,g	κµ,g	PRON
app01-10213	119	3	and	and	CCONJ
app01-10213	119	4	sg	sg	PROPN
app01-10213	119	5	are	be	AUX
app01-10213	119	6	the	the	DET
app01-10213	119	7	gaussian	gaussian	ADJ
app01-10213	119	8	mean	mean	NOUN
app01-10213	119	9	and	and	CCONJ
app01-10213	119	10	standard	standard	ADJ
app01-10213	119	11	deviation	deviation	NOUN
app01-10213	119	12	,	,	PUNCT
app01-10213	119	13	respectively	respectively	ADV
app01-10213	119	14	,	,	PUNCT
app01-10213	119	15	computed	compute	VERB
app01-10213	119	16	from	from	ADP
app01-10213	119	17	their	their	PRON
app01-10213	119	18	lognormal	lognormal	ADJ
app01-10213	119	19	counterparts	counterpart	NOUN
app01-10213	119	20	(	(	PUNCT
app01-10213	119	21	κµ,ln	κµ,ln	ADJ
app01-10213	119	22	,	,	PUNCT
app01-10213	119	23	sln	sln	PROPN
app01-10213	119	24	)	)	PUNCT
app01-10213	119	25	according	accord	VERB
app01-10213	119	26	to	to	ADP
app01-10213	119	27	the	the	DET
app01-10213	119	28	following	follow	VERB
app01-10213	119	29	equations	equation	NOUN
app01-10213	119	30	,	,	PUNCT
app01-10213	119	31	see	see	VERB
app01-10213	119	32	[	[	X
app01-10213	119	33	2	2	NUM
app01-10213	119	34	]	]	PUNCT
app01-10213	119	35	:	:	PUNCT
app01-10213	119	36	κµ,g	κµ,g	X
app01-10213	119	37	=	=	PUNCT
app01-10213	119	38	ln	ln	ADJ
app01-10213	119	39	(	(	PUNCT
app01-10213	119	40	κµ,ln	κµ,ln	NOUN
app01-10213	119	41	)	)	PUNCT
app01-10213	120	1	−	−	PROPN
app01-10213	121	1	1	1	NUM
app01-10213	121	2	2s2	2s2	NUM
app01-10213	121	3	ln	ln	ADJ
app01-10213	121	4	,	,	PUNCT
app01-10213	121	5	(	(	PUNCT
app01-10213	121	6	11	11	NUM
app01-10213	121	7	)	)	PUNCT
app01-10213	121	8	sg	sg	NOUN
app01-10213	121	9	=	=	PUNCT
app01-10213	121	10	√	√	PROPN
app01-10213	122	1	ln	ln	NOUN
app01-10213	122	2	(	(	PUNCT
app01-10213	122	3	(	(	PUNCT
app01-10213	122	4	sln	sln	PROPN
app01-10213	122	5	κµ,g	κµ,g	X
app01-10213	122	6	)	)	PUNCT
app01-10213	122	7	2	2	NUM
app01-10213	122	8	+	+	NUM
app01-10213	122	9	1	1	NUM
app01-10213	122	10	)	)	PUNCT
app01-10213	122	11	.	.	PUNCT
app01-10213	123	1	(	(	PUNCT
app01-10213	123	2	12	12	NUM
app01-10213	123	3	)	)	PUNCT
app01-10213	123	4	3.1.2	3.1.2	NUM
app01-10213	123	5	.	.	PUNCT
app01-10213	124	1	description	description	NOUN
app01-10213	124	2	of	of	ADP
app01-10213	124	3	tested	test	VERB
app01-10213	124	4	random	random	ADJ
app01-10213	124	5	field	field	NOUN
app01-10213	124	6	all	all	PRON
app01-10213	124	7	tested	test	VERB
app01-10213	124	8	versions	version	NOUN
app01-10213	124	9	of	of	ADP
app01-10213	124	10	random	random	ADJ
app01-10213	124	11	field	field	NOUN
app01-10213	124	12	constructions	construction	NOUN
app01-10213	124	13	are	be	AUX
app01-10213	124	14	summarized	summarize	VERB
app01-10213	124	15	in	in	ADP
app01-10213	124	16	table	table	NOUN
app01-10213	124	17	2	2	NUM
app01-10213	124	18	.	.	PUNCT
app01-10213	124	19	overall	overall	ADJ
app01-10213	124	20	,	,	PUNCT
app01-10213	124	21	14	14	NUM
app01-10213	124	22	different	different	ADJ
app01-10213	124	23	versions	version	NOUN
app01-10213	124	24	have	have	AUX
app01-10213	124	25	been	be	AUX
app01-10213	124	26	examined	examine	VERB
app01-10213	124	27	with	with	ADP
app01-10213	124	28	the	the	DET
app01-10213	124	29	following	follow	VERB
app01-10213	124	30	specifications	specification	NOUN
app01-10213	124	31	:	:	PUNCT
app01-10213	124	32	the	the	DET
app01-10213	124	33	labels	label	NOUN
app01-10213	124	34	–	–	PUNCT
app01-10213	124	35	gauss	gauss	NOUN
app01-10213	124	36	,	,	PUNCT
app01-10213	124	37	tpp	tpp	PROPN
app01-10213	124	38	,	,	PUNCT
app01-10213	124	39	s	s	PART
app01-10213	124	40	–	–	PUNCT
app01-10213	124	41	refer	refer	VERB
app01-10213	124	42	to	to	ADP
app01-10213	124	43	the	the	DET
app01-10213	124	44	equations	equation	NOUN
app01-10213	124	45	employed	employ	VERB
app01-10213	124	46	for	for	ADP
app01-10213	124	47	assembling	assemble	VERB
app01-10213	124	48	the	the	DET
app01-10213	124	49	covariance	covariance	NOUN
app01-10213	124	50	kernels	kernel	NOUN
app01-10213	124	51	and	and	CCONJ
app01-10213	124	52	auto	auto	NOUN
app01-10213	124	53	-	-	PUNCT
app01-10213	124	54	covariance	covariance	NOUN
app01-10213	124	55	.	.	PUNCT
app01-10213	125	1	since	since	SCONJ
app01-10213	125	2	the	the	DET
app01-10213	125	3	karhunen	karhunen	NOUN
app01-10213	125	4	-	-	PUNCT
app01-10213	125	5	loève	loève	NOUN
app01-10213	125	6	expansion	expansion	NOUN
app01-10213	125	7	delivers	deliver	VERB
app01-10213	125	8	the	the	DET
app01-10213	125	9	real	real	ADV
app01-10213	125	10	-	-	PUNCT
app01-10213	125	11	valued	value	VERB
app01-10213	125	12	random	random	ADJ
app01-10213	125	13	fields	field	NOUN
app01-10213	125	14	,	,	PUNCT
app01-10213	125	15	the	the	DET
app01-10213	125	16	additional	additional	ADJ
app01-10213	125	17	label	label	NOUN
app01-10213	125	18	–	–	PUNCT
app01-10213	125	19	t	t	NOUN
app01-10213	125	20	–	–	PUNCT
app01-10213	125	21	is	be	AUX
app01-10213	125	22	introduced	introduce	VERB
app01-10213	125	23	as	as	ADP
app01-10213	125	24	another	another	DET
app01-10213	125	25	option	option	NOUN
app01-10213	125	26	referring	refer	VERB
app01-10213	125	27	to	to	ADP
app01-10213	125	28	value	value	NOUN
app01-10213	125	29	filtering	filtering	NOUN
app01-10213	125	30	.	.	PUNCT
app01-10213	126	1	it	it	PRON
app01-10213	126	2	means	mean	VERB
app01-10213	126	3	that	that	SCONJ
app01-10213	126	4	realvalued	realvalue	VERB
app01-10213	126	5	random	random	ADJ
app01-10213	126	6	fields	field	NOUN
app01-10213	126	7	are	be	AUX
app01-10213	126	8	trimmed	trim	VERB
app01-10213	126	9	back	back	ADV
app01-10213	126	10	to	to	ADP
app01-10213	126	11	the	the	DET
app01-10213	126	12	binary	binary	ADJ
app01-10213	126	13	values	value	NOUN
app01-10213	126	14	preserving	preserve	VERB
app01-10213	126	15	the	the	DET
app01-10213	126	16	volume	volume	NOUN
app01-10213	126	17	fraction	fraction	NOUN
app01-10213	126	18	.	.	PUNCT
app01-10213	127	1	finally	finally	ADV
app01-10213	127	2	,	,	PUNCT
app01-10213	127	3	the	the	DET
app01-10213	127	4	correlation	correlation	NOUN
app01-10213	127	5	lengths	length	NOUN
app01-10213	127	6	indicate	indicate	VERB
app01-10213	127	7	the	the	DET
app01-10213	127	8	values	value	NOUN
app01-10213	127	9	entering	enter	VERB
app01-10213	127	10	the	the	DET
app01-10213	127	11	covariance	covariance	NOUN
app01-10213	127	12	kernels	kernel	NOUN
app01-10213	127	13	.	.	PUNCT
app01-10213	128	1	the	the	DET
app01-10213	128	2	versions	version	NOUN
app01-10213	128	3	with	with	ADP
app01-10213	128	4	the	the	DET
app01-10213	128	5	labels	label	NOUN
app01-10213	128	6	–	–	PUNCT
app01-10213	128	7	plus	plus	CCONJ
app01-10213	128	8	and	and	CCONJ
app01-10213	128	9	minus	minus	CCONJ
app01-10213	128	10	–	–	PUNCT
app01-10213	128	11	serve	serve	VERB
app01-10213	128	12	for	for	ADP
app01-10213	128	13	simulating	simulate	VERB
app01-10213	128	14	the	the	DET
app01-10213	128	15	wrong	wrong	ADJ
app01-10213	128	16	initial	initial	ADJ
app01-10213	128	17	guess	guess	NOUN
app01-10213	128	18	of	of	ADP
app01-10213	128	19	experts	expert	NOUN
app01-10213	128	20	,	,	PUNCT
app01-10213	128	21	i.e.	i.e.	X
app01-10213	128	22	the	the	DET
app01-10213	128	23	underestimations	underestimation	NOUN
app01-10213	128	24	and	and	CCONJ
app01-10213	128	25	overestimations	overestimation	NOUN
app01-10213	128	26	of	of	ADP
app01-10213	128	27	correlation	correlation	NOUN
app01-10213	128	28	lengths	length	NOUN
app01-10213	128	29	,	,	PUNCT
app01-10213	128	30	respectively	respectively	ADV
app01-10213	128	31	.	.	PUNCT
app01-10213	129	1	3.2	3.2	NUM
app01-10213	129	2	.	.	PUNCT
app01-10213	130	1	homogenization	homogenization	NOUN
app01-10213	130	2	bounds	bound	NOUN
app01-10213	130	3	since	since	SCONJ
app01-10213	130	4	the	the	DET
app01-10213	130	5	initial	initial	ADJ
app01-10213	130	6	guess	guess	NOUN
app01-10213	130	7	of	of	ADP
app01-10213	130	8	experts	expert	NOUN
app01-10213	130	9	about	about	ADP
app01-10213	130	10	the	the	DET
app01-10213	130	11	inputs	input	NOUN
app01-10213	130	12	entering	enter	VERB
app01-10213	130	13	the	the	DET
app01-10213	130	14	covariance	covariance	NOUN
app01-10213	130	15	kernels	kernel	NOUN
app01-10213	130	16	is	be	AUX
app01-10213	130	17	missing	miss	VERB
app01-10213	130	18	here	here	ADV
app01-10213	130	19	,	,	PUNCT
app01-10213	130	20	the	the	DET
app01-10213	130	21	theoretical	theoretical	ADJ
app01-10213	130	22	homogenization	homogenization	NOUN
app01-10213	130	23	bounds	bound	NOUN
app01-10213	130	24	are	be	AUX
app01-10213	130	25	exploited	exploit	VERB
app01-10213	130	26	for	for	ADP
app01-10213	130	27	the	the	DET
app01-10213	130	28	comparison	comparison	NOUN
app01-10213	130	29	of	of	ADP
app01-10213	130	30	our	our	PRON
app01-10213	130	31	proposed	propose	VERB
app01-10213	130	32	techniques	technique	NOUN
app01-10213	130	33	with	with	ADP
app01-10213	130	34	easily	easily	ADV
app01-10213	130	35	81	81	NUM
app01-10213	130	36	david	david	PROPN
app01-10213	130	37	šilhánek	šilhánek	PROPN
app01-10213	130	38	,	,	PUNCT
app01-10213	130	39	jan	jan	PROPN
app01-10213	130	40	sýkora	sýkora	PROPN
app01-10213	130	41	acta	acta	PROPN
app01-10213	130	42	polytechnica	polytechnica	PROPN
app01-10213	130	43	ctu	ctu	PROPN
app01-10213	130	44	proceedings	proceeding	NOUN
app01-10213	130	45	figure	figure	VERB
app01-10213	130	46	7	7	NUM
app01-10213	130	47	.	.	PUNCT
app01-10213	131	1	the	the	DET
app01-10213	131	2	evolution	evolution	NOUN
app01-10213	131	3	of	of	ADP
app01-10213	131	4	average	average	ADJ
app01-10213	131	5	stresses	stress	NOUN
app01-10213	131	6	as	as	ADP
app01-10213	131	7	a	a	DET
app01-10213	131	8	function	function	NOUN
app01-10213	131	9	of	of	ADP
app01-10213	131	10	loading	loading	NOUN
app01-10213	131	11	steps	step	NOUN
app01-10213	131	12	,	,	PUNCT
app01-10213	131	13	nϕ	nϕ	ADJ
app01-10213	131	14	=	=	VERB
app01-10213	131	15	50	50	NUM
app01-10213	131	16	.	.	PUNCT
app01-10213	132	1	figure	figure	NOUN
app01-10213	132	2	8	8	NUM
app01-10213	132	3	.	.	PUNCT
app01-10213	133	1	the	the	DET
app01-10213	133	2	values	value	NOUN
app01-10213	133	3	of	of	ADP
app01-10213	133	4	error	error	NOUN
app01-10213	133	5	computed	compute	VERB
app01-10213	133	6	for	for	ADP
app01-10213	133	7	the	the	DET
app01-10213	133	8	average	average	ADJ
app01-10213	133	9	stress	stress	NOUN
app01-10213	133	10	as	as	ADP
app01-10213	133	11	a	a	DET
app01-10213	133	12	function	function	NOUN
app01-10213	133	13	of	of	ADP
app01-10213	133	14	the	the	DET
app01-10213	133	15	number	number	NOUN
app01-10213	133	16	of	of	ADP
app01-10213	133	17	eigenmodes	eigenmode	NOUN
app01-10213	133	18	.	.	PUNCT
app01-10213	134	1	computed	compute	VERB
app01-10213	134	2	rules	rule	NOUN
app01-10213	134	3	.	.	PUNCT
app01-10213	135	1	the	the	DET
app01-10213	135	2	first	first	ADJ
app01-10213	135	3	homogenization	homogenization	NOUN
app01-10213	135	4	bound	bind	VERB
app01-10213	135	5	is	be	AUX
app01-10213	135	6	the	the	DET
app01-10213	135	7	rule	rule	NOUN
app01-10213	135	8	of	of	ADP
app01-10213	135	9	mixtures	mixture	NOUN
app01-10213	135	10	,	,	PUNCT
app01-10213	135	11	which	which	PRON
app01-10213	135	12	is	be	AUX
app01-10213	135	13	given	give	VERB
app01-10213	135	14	by	by	ADP
app01-10213	135	15	:	:	PUNCT
app01-10213	135	16	κhom	κhom	ADJ
app01-10213	135	17	=	=	PROPN
app01-10213	135	18	κ1	κ1	PROPN
app01-10213	135	19	·	·	PUNCT
app01-10213	135	20	c1	c1	PROPN
app01-10213	135	21	+	+	CCONJ
app01-10213	135	22	κ1	κ1	PROPN
app01-10213	135	23	·	·	PUNCT
app01-10213	135	24	(	(	PUNCT
app01-10213	135	25	1	1	NUM
app01-10213	135	26	−	−	PROPN
app01-10213	135	27	c1	c1	NOUN
app01-10213	135	28	)	)	PUNCT
app01-10213	135	29	,	,	PUNCT
app01-10213	135	30	(	(	PUNCT
app01-10213	135	31	13	13	NUM
app01-10213	135	32	)	)	PUNCT
app01-10213	135	33	and	and	CCONJ
app01-10213	135	34	the	the	DET
app01-10213	135	35	inverse	inverse	NOUN
app01-10213	135	36	rule	rule	NOUN
app01-10213	135	37	of	of	ADP
app01-10213	135	38	mixtures	mixture	NOUN
app01-10213	135	39	is	be	AUX
app01-10213	135	40	defined	define	VERB
app01-10213	135	41	as	as	ADP
app01-10213	135	42	:	:	PUNCT
app01-10213	135	43	κhom	κhom	ADJ
app01-10213	135	44	=	=	SYM
app01-10213	135	45	(	(	PUNCT
app01-10213	135	46	c1	c1	PROPN
app01-10213	135	47	κ1	κ1	NOUN
app01-10213	135	48	+	+	CCONJ
app01-10213	135	49	1	1	NUM
app01-10213	135	50	−	−	PROPN
app01-10213	135	51	c1	c1	NOUN
app01-10213	135	52	κ0	κ0	PROPN
app01-10213	135	53	)	)	PUNCT
app01-10213	135	54	−1	−1	NOUN
app01-10213	135	55	.	.	PUNCT
app01-10213	136	1	(	(	PUNCT
app01-10213	136	2	14	14	NUM
app01-10213	136	3	)	)	PUNCT
app01-10213	136	4	κhom	κhom	ADV
app01-10213	136	5	is	be	AUX
app01-10213	136	6	the	the	DET
app01-10213	136	7	homogenized	homogenized	ADJ
app01-10213	136	8	material	material	NOUN
app01-10213	136	9	property	property	NOUN
app01-10213	136	10	,	,	PUNCT
app01-10213	136	11	and	and	CCONJ
app01-10213	136	12	the	the	DET
app01-10213	136	13	results	result	NOUN
app01-10213	136	14	stemming	stem	VERB
app01-10213	136	15	from	from	ADP
app01-10213	136	16	these	these	DET
app01-10213	136	17	two	two	NUM
app01-10213	136	18	equations	equation	NOUN
app01-10213	136	19	are	be	AUX
app01-10213	136	20	labeled	label	VERB
app01-10213	136	21	as	as	ADP
app01-10213	136	22	rom	rom	NOUN
app01-10213	136	23	and	and	CCONJ
app01-10213	136	24	irom	irom	ADJ
app01-10213	136	25	,	,	PUNCT
app01-10213	136	26	respectively	respectively	ADV
app01-10213	136	27	.	.	PUNCT
app01-10213	137	1	4	4	X
app01-10213	137	2	.	.	X
app01-10213	137	3	results	result	NOUN
app01-10213	137	4	for	for	ADP
app01-10213	137	5	the	the	DET
app01-10213	137	6	comparison	comparison	NOUN
app01-10213	137	7	,	,	PUNCT
app01-10213	137	8	it	it	PRON
app01-10213	137	9	is	be	AUX
app01-10213	137	10	necessary	necessary	ADJ
app01-10213	137	11	to	to	PART
app01-10213	137	12	introduce	introduce	VERB
app01-10213	137	13	the	the	DET
app01-10213	137	14	metrics	metric	NOUN
app01-10213	137	15	of	of	ADP
app01-10213	137	16	error	error	NOUN
app01-10213	137	17	.	.	PUNCT
app01-10213	138	1	they	they	PRON
app01-10213	138	2	represent	represent	VERB
app01-10213	138	3	the	the	DET
app01-10213	138	4	absolute	absolute	ADJ
app01-10213	138	5	values	value	NOUN
app01-10213	138	6	calculated	calculate	VERB
app01-10213	138	7	as	as	ADP
app01-10213	138	8	a	a	DET
app01-10213	138	9	difference	difference	NOUN
app01-10213	138	10	between	between	ADP
app01-10213	138	11	the	the	DET
app01-10213	138	12	reference	reference	NOUN
app01-10213	138	13	set	set	VERB
app01-10213	138	14	of	of	ADP
app01-10213	138	15	material	material	NOUN
app01-10213	138	16	responses	response	NOUN
app01-10213	138	17	,	,	PUNCT
app01-10213	138	18	and	and	CCONJ
app01-10213	138	19	the	the	DET
app01-10213	138	20	response	response	NOUN
app01-10213	138	21	set	set	VERB
app01-10213	138	22	having	have	VERB
app01-10213	138	23	the	the	DET
app01-10213	138	24	random	random	ADJ
app01-10213	138	25	fields	field	NOUN
app01-10213	138	26	as	as	ADP
app01-10213	138	27	an	an	DET
app01-10213	138	28	input	input	NOUN
app01-10213	138	29	.	.	PUNCT
app01-10213	139	1	the	the	DET
app01-10213	139	2	equations	equation	NOUN
app01-10213	139	3	evaluating	evaluate	VERB
app01-10213	139	4	the	the	DET
app01-10213	139	5	values	value	NOUN
app01-10213	139	6	of	of	ADP
app01-10213	139	7	error	error	NOUN
app01-10213	139	8	for	for	ADP
app01-10213	139	9	the	the	DET
app01-10213	139	10	average	average	ADJ
app01-10213	139	11	stress	stress	NOUN
app01-10213	139	12	σx	σx	PROPN
app01-10213	139	13	and	and	CCONJ
app01-10213	139	14	its	its	PRON
app01-10213	139	15	variance	variance	NOUN
app01-10213	139	16	var(σx	var(σx	NOUN
app01-10213	139	17	)	)	PUNCT
app01-10213	139	18	are	be	AUX
app01-10213	139	19	expressed	express	VERB
app01-10213	139	20	as	as	ADP
app01-10213	139	21	:	:	PUNCT
app01-10213	139	22	εσx	εσx	NOUN
app01-10213	139	23	=	=	PUNCT
app01-10213	139	24	∣∣∣∣σx	∣∣∣∣σx	ADV
app01-10213	139	25	,	,	PUNCT
app01-10213	139	26	real	real	ADJ
app01-10213	139	27	−	−	PROPN
app01-10213	139	28	σx	σx	NOUN
app01-10213	139	29	,	,	PUNCT
app01-10213	139	30	rf	rf	PROPN
app01-10213	139	31	σx	σx	NOUN
app01-10213	139	32	,	,	PUNCT
app01-10213	139	33	real	real	ADJ
app01-10213	139	34	∣∣∣∣	∣∣∣∣	PROPN
app01-10213	139	35	,	,	PUNCT
app01-10213	139	36	(	(	PUNCT
app01-10213	139	37	15	15	NUM
app01-10213	139	38	)	)	PUNCT
app01-10213	139	39	and	and	CCONJ
app01-10213	139	40	:	:	PUNCT
app01-10213	139	41	εvar(σx	εvar(σx	ADJ
app01-10213	139	42	)	)	PUNCT
app01-10213	139	43	=	=	SYM
app01-10213	139	44	∣∣∣∣var(σx	∣∣∣∣var(σx	PROPN
app01-10213	139	45	,	,	PUNCT
app01-10213	139	46	real	real	ADJ
app01-10213	139	47	)	)	PUNCT
app01-10213	139	48	−	−	NOUN
app01-10213	139	49	var(σx	var(σx	X
app01-10213	139	50	,	,	PUNCT
app01-10213	139	51	rf	rf	NOUN
app01-10213	139	52	)	)	PUNCT
app01-10213	139	53	var(σx	var(σx	ADJ
app01-10213	139	54	,	,	PUNCT
app01-10213	139	55	real	real	ADJ
app01-10213	139	56	)	)	PUNCT
app01-10213	139	57	∣∣∣∣	∣∣∣∣	PROPN
app01-10213	139	58	,	,	PUNCT
app01-10213	139	59	(	(	PUNCT
app01-10213	139	60	16	16	NUM
app01-10213	139	61	)	)	PUNCT
app01-10213	139	62	where	where	SCONJ
app01-10213	139	63	the	the	DET
app01-10213	139	64	subscript	subscript	NOUN
app01-10213	139	65	real	real	ADV
app01-10213	139	66	represents	represent	VERB
app01-10213	139	67	the	the	DET
app01-10213	139	68	reference	reference	NOUN
app01-10213	139	69	set	set	VERB
app01-10213	139	70	assembled	assemble	VERB
app01-10213	139	71	from	from	ADP
app01-10213	139	72	1	1	NUM
app01-10213	139	73	000	000	NUM
app01-10213	139	74	monte	monte	PROPN
app01-10213	139	75	carlo	carlo	PROPN
app01-10213	139	76	simulations	simulation	NOUN
app01-10213	139	77	with	with	ADP
app01-10213	139	78	a	a	DET
app01-10213	139	79	domain	domain	NOUN
app01-10213	139	80	size	size	NOUN
app01-10213	139	81	of	of	ADP
app01-10213	139	82	100×100	100×100	NUM
app01-10213	139	83	px	px	NOUN
app01-10213	139	84	,	,	PUNCT
app01-10213	139	85	which	which	PRON
app01-10213	139	86	is	be	AUX
app01-10213	139	87	randomly	randomly	ADV
app01-10213	139	88	taken	take	VERB
app01-10213	139	89	from	from	ADP
app01-10213	139	90	the	the	DET
app01-10213	139	91	original	original	ADJ
app01-10213	139	92	structure	structure	NOUN
app01-10213	139	93	.	.	PUNCT
app01-10213	140	1	then	then	ADV
app01-10213	140	2	,	,	PUNCT
app01-10213	140	3	the	the	DET
app01-10213	140	4	subscript	subscript	NOUN
app01-10213	140	5	rf	rf	PRON
app01-10213	140	6	refers	refer	VERB
app01-10213	140	7	to	to	PART
app01-10213	140	8	set	set	VERB
app01-10213	140	9	collected	collect	VERB
app01-10213	140	10	for	for	ADP
app01-10213	140	11	the	the	DET
app01-10213	140	12	1	1	NUM
app01-10213	140	13	000	000	NUM
app01-10213	140	14	monte	monte	PROPN
app01-10213	140	15	carlo	carlo	PROPN
app01-10213	140	16	simulations	simulation	NOUN
app01-10213	140	17	utilizing	utilize	VERB
app01-10213	140	18	the	the	DET
app01-10213	140	19	random	random	ADJ
app01-10213	140	20	fields	field	NOUN
app01-10213	140	21	as	as	ADP
app01-10213	140	22	an	an	DET
app01-10213	140	23	input	input	NOUN
app01-10213	140	24	.	.	PUNCT
app01-10213	141	1	the	the	DET
app01-10213	141	2	first	first	ADJ
app01-10213	141	3	graph	graph	NOUN
app01-10213	141	4	(	(	PUNCT
app01-10213	141	5	figure	figure	NOUN
app01-10213	141	6	7	7	NUM
app01-10213	141	7	)	)	PUNCT
app01-10213	141	8	illustrates	illustrate	VERB
app01-10213	141	9	the	the	DET
app01-10213	141	10	evolution	evolution	NOUN
app01-10213	141	11	of	of	ADP
app01-10213	141	12	average	average	ADJ
app01-10213	141	13	stresses	stress	NOUN
app01-10213	141	14	as	as	ADP
app01-10213	141	15	a	a	DET
app01-10213	141	16	function	function	NOUN
app01-10213	141	17	of	of	ADP
app01-10213	141	18	loading	loading	NOUN
app01-10213	141	19	steps	step	NOUN
app01-10213	141	20	for	for	ADP
app01-10213	141	21	different	different	ADJ
app01-10213	141	22	constructions	construction	NOUN
app01-10213	141	23	of	of	ADP
app01-10213	141	24	random	random	ADJ
app01-10213	141	25	fields	field	NOUN
app01-10213	141	26	.	.	PUNCT
app01-10213	142	1	the	the	DET
app01-10213	142	2	results	result	NOUN
app01-10213	142	3	are	be	AUX
app01-10213	142	4	plotted	plot	VERB
app01-10213	142	5	for	for	ADP
app01-10213	142	6	the	the	DET
app01-10213	142	7	fixed	fix	VERB
app01-10213	142	8	number	number	NOUN
app01-10213	142	9	of	of	ADP
app01-10213	142	10	eigenmodes	eigenmode	NOUN
app01-10213	142	11	,	,	PUNCT
app01-10213	142	12	which	which	PRON
app01-10213	142	13	is	be	AUX
app01-10213	142	14	equal	equal	ADJ
app01-10213	142	15	to	to	ADP
app01-10213	142	16	50	50	NUM
app01-10213	142	17	.	.	PUNCT
app01-10213	143	1	the	the	DET
app01-10213	143	2	true	true	ADJ
app01-10213	143	3	values	value	NOUN
app01-10213	143	4	of	of	ADP
app01-10213	143	5	the	the	DET
app01-10213	143	6	average	average	ADJ
app01-10213	143	7	stresses	stress	NOUN
app01-10213	143	8	computed	compute	VERB
app01-10213	143	9	from	from	ADP
app01-10213	143	10	the	the	DET
app01-10213	143	11	reference	reference	NOUN
app01-10213	143	12	set	set	NOUN
app01-10213	143	13	are	be	AUX
app01-10213	143	14	shown	show	VERB
app01-10213	143	15	by	by	ADP
app01-10213	143	16	the	the	DET
app01-10213	143	17	solid	solid	ADJ
app01-10213	143	18	blue	blue	ADJ
app01-10213	143	19	line	line	NOUN
app01-10213	143	20	and	and	CCONJ
app01-10213	143	21	the	the	DET
app01-10213	143	22	homogenization	homogenization	NOUN
app01-10213	143	23	bounds	bound	NOUN
app01-10213	143	24	are	be	AUX
app01-10213	143	25	depicted	depict	VERB
app01-10213	143	26	as	as	SCONJ
app01-10213	143	27	dashed	dash	VERB
app01-10213	143	28	blue	blue	ADJ
app01-10213	143	29	lines	line	NOUN
app01-10213	143	30	.	.	PUNCT
app01-10213	144	1	the	the	DET
app01-10213	144	2	first	first	ADJ
app01-10213	144	3	six	six	NUM
app01-10213	144	4	versions	version	NOUN
app01-10213	144	5	#	#	SYM
app01-10213	144	6	1–#6	1–#6	NUM
app01-10213	144	7	of	of	ADP
app01-10213	144	8	random	random	ADJ
app01-10213	144	9	field	field	NOUN
app01-10213	144	10	construction	construction	NOUN
app01-10213	144	11	are	be	AUX
app01-10213	144	12	only	only	ADV
app01-10213	144	13	compared	compare	VERB
app01-10213	144	14	for	for	ADP
app01-10213	144	15	the	the	DET
app01-10213	144	16	sake	sake	NOUN
app01-10213	144	17	of	of	ADP
app01-10213	144	18	clarity	clarity	NOUN
app01-10213	144	19	.	.	PUNCT
app01-10213	145	1	from	from	ADP
app01-10213	145	2	the	the	DET
app01-10213	145	3	presented	present	VERB
app01-10213	145	4	graph	graph	NOUN
app01-10213	145	5	we	we	PRON
app01-10213	145	6	can	can	AUX
app01-10213	145	7	see	see	VERB
app01-10213	145	8	that	that	SCONJ
app01-10213	145	9	the	the	DET
app01-10213	145	10	trimmed	trim	VERB
app01-10213	145	11	versions	version	NOUN
app01-10213	145	12	show	show	VERB
app01-10213	145	13	good	good	ADJ
app01-10213	145	14	correspondence	correspondence	NOUN
app01-10213	145	15	with	with	ADP
app01-10213	145	16	the	the	DET
app01-10213	145	17	reference	reference	NOUN
app01-10213	145	18	values	value	NOUN
app01-10213	145	19	,	,	PUNCT
app01-10213	145	20	in	in	ADP
app01-10213	145	21	contrast	contrast	NOUN
app01-10213	145	22	to	to	ADP
app01-10213	145	23	values	value	NOUN
app01-10213	145	24	carried	carry	VERB
app01-10213	145	25	out	out	ADP
app01-10213	145	26	for	for	ADP
app01-10213	145	27	real	real	ADV
app01-10213	145	28	-	-	PUNCT
app01-10213	145	29	valued	value	VERB
app01-10213	145	30	random	random	ADJ
app01-10213	145	31	fields	field	NOUN
app01-10213	145	32	,	,	PUNCT
app01-10213	145	33	which	which	PRON
app01-10213	145	34	shift	shift	VERB
app01-10213	145	35	to	to	ADP
app01-10213	145	36	the	the	DET
app01-10213	145	37	upper	upper	ADJ
app01-10213	145	38	homogenization	homogenization	NOUN
app01-10213	145	39	bound	bind	VERB
app01-10213	145	40	.	.	PUNCT
app01-10213	146	1	a	a	DET
app01-10213	146	2	similar	similar	ADJ
app01-10213	146	3	conclusion	conclusion	NOUN
app01-10213	146	4	is	be	AUX
app01-10213	146	5	observed	observe	VERB
app01-10213	146	6	from	from	ADP
app01-10213	146	7	figure	figure	NOUN
app01-10213	146	8	8	8	NUM
app01-10213	146	9	depicting	depict	VERB
app01-10213	146	10	the	the	DET
app01-10213	146	11	values	value	NOUN
app01-10213	146	12	of	of	ADP
app01-10213	146	13	error	error	NOUN
app01-10213	146	14	computed	compute	VERB
app01-10213	146	15	for	for	ADP
app01-10213	146	16	the	the	DET
app01-10213	146	17	average	average	ADJ
app01-10213	146	18	stress	stress	NOUN
app01-10213	146	19	depending	depend	VERB
app01-10213	146	20	on	on	ADP
app01-10213	146	21	the	the	DET
app01-10213	146	22	number	number	NOUN
app01-10213	146	23	of	of	ADP
app01-10213	146	24	eigenmodes	eigenmode	NOUN
app01-10213	146	25	.	.	PUNCT
app01-10213	147	1	as	as	SCONJ
app01-10213	147	2	we	we	PRON
app01-10213	147	3	can	can	AUX
app01-10213	147	4	see	see	VERB
app01-10213	147	5	from	from	ADP
app01-10213	147	6	this	this	DET
app01-10213	147	7	graph	graph	NOUN
app01-10213	147	8	,	,	PUNCT
app01-10213	147	9	including	include	VERB
app01-10213	147	10	more	more	ADJ
app01-10213	147	11	eigenmodes	eigenmode	NOUN
app01-10213	147	12	in	in	ADP
app01-10213	147	13	the	the	DET
app01-10213	147	14	karhunen	karhunen	NOUN
app01-10213	147	15	-	-	PUNCT
app01-10213	147	16	loève	loève	NOUN
app01-10213	147	17	expansion	expansion	NOUN
app01-10213	147	18	does	do	AUX
app01-10213	147	19	not	not	PART
app01-10213	147	20	tend	tend	VERB
app01-10213	147	21	to	to	PART
app01-10213	147	22	have	have	VERB
app01-10213	147	23	smaller	small	ADJ
app01-10213	147	24	values	value	NOUN
app01-10213	147	25	of	of	ADP
app01-10213	147	26	error	error	NOUN
app01-10213	147	27	;	;	PUNCT
app01-10213	147	28	however	however	ADV
app01-10213	147	29	,	,	PUNCT
app01-10213	147	30	it	it	PRON
app01-10213	147	31	has	have	VERB
app01-10213	147	32	a	a	DET
app01-10213	147	33	significant	significant	ADJ
app01-10213	147	34	impact	impact	NOUN
app01-10213	147	35	on	on	ADP
app01-10213	147	36	values	value	NOUN
app01-10213	147	37	of	of	ADP
app01-10213	147	38	error	error	NOUN
app01-10213	147	39	82	82	NUM
app01-10213	147	40	vol	vol	NOUN
app01-10213	147	41	.	.	PUNCT
app01-10213	148	1	49/2024	49/2024	NUM
app01-10213	148	2	image	image	NOUN
app01-10213	148	3	-	-	PUNCT
app01-10213	148	4	based	base	VERB
app01-10213	148	5	rf	rf	NOUN
app01-10213	148	6	in	in	ADP
app01-10213	148	7	numerical	numerical	ADJ
app01-10213	148	8	modeling	modeling	NOUN
app01-10213	148	9	of	of	ADP
app01-10213	148	10	heterogeneous	heterogeneous	ADJ
app01-10213	148	11	materials	material	NOUN
app01-10213	148	12	figure	figure	NOUN
app01-10213	148	13	9	9	NUM
app01-10213	148	14	.	.	PUNCT
app01-10213	149	1	the	the	DET
app01-10213	149	2	variance	variance	NOUN
app01-10213	149	3	error	error	NOUN
app01-10213	149	4	in	in	ADP
app01-10213	149	5	dependence	dependence	NOUN
app01-10213	149	6	on	on	ADP
app01-10213	149	7	the	the	DET
app01-10213	149	8	number	number	NOUN
app01-10213	149	9	of	of	ADP
app01-10213	149	10	eigenvectors	eigenvector	NOUN
app01-10213	149	11	included	include	VERB
app01-10213	149	12	in	in	ADP
app01-10213	149	13	kle	kle	PROPN
app01-10213	149	14	.	.	PROPN
app01-10213	149	15	figure	figure	VERB
app01-10213	149	16	10	10	NUM
app01-10213	149	17	.	.	PUNCT
app01-10213	150	1	the	the	DET
app01-10213	150	2	ratio	ratio	NOUN
app01-10213	150	3	of	of	ADP
app01-10213	150	4	the	the	DET
app01-10213	150	5	variances	variance	NOUN
app01-10213	150	6	computed	compute	VERB
app01-10213	150	7	for	for	ADP
app01-10213	150	8	the	the	DET
app01-10213	150	9	average	average	ADJ
app01-10213	150	10	stresses	stress	NOUN
app01-10213	150	11	of	of	ADP
app01-10213	150	12	the	the	DET
app01-10213	150	13	reference	reference	NOUN
app01-10213	150	14	set	set	VERB
app01-10213	150	15	and	and	CCONJ
app01-10213	150	16	set	set	VERB
app01-10213	150	17	assembled	assemble	VERB
app01-10213	150	18	from	from	ADP
app01-10213	150	19	the	the	DET
app01-10213	150	20	random	random	ADJ
app01-10213	150	21	field	field	NOUN
app01-10213	150	22	-	-	PUNCT
app01-10213	150	23	based	base	VERB
app01-10213	150	24	simulations	simulation	NOUN
app01-10213	150	25	#	#	SYM
app01-10213	150	26	1–#6	1–#6	NUM
app01-10213	150	27	,	,	PUNCT
app01-10213	150	28	nϕ	nϕ	VERB
app01-10213	150	29	=	=	VERB
app01-10213	150	30	250	250	NUM
app01-10213	150	31	.	.	PUNCT
app01-10213	151	1	figure	figure	VERB
app01-10213	151	2	11	11	NUM
app01-10213	151	3	.	.	PUNCT
app01-10213	152	1	the	the	DET
app01-10213	152	2	average	average	ADJ
app01-10213	152	3	stress	stress	NOUN
app01-10213	152	4	for	for	ADP
app01-10213	152	5	rf	rf	VERB
app01-10213	152	6	with	with	ADP
app01-10213	152	7	arbitrarily	arbitrarily	ADV
app01-10213	152	8	chosen	choose	VERB
app01-10213	152	9	correlation	correlation	NOUN
app01-10213	152	10	lengths	length	NOUN
app01-10213	152	11	nϕ	nϕ	VERB
app01-10213	152	12	=	=	SYM
app01-10213	152	13	50	50	NUM
app01-10213	152	14	.	.	PUNCT
app01-10213	153	1	computed	compute	VERB
app01-10213	153	2	for	for	ADP
app01-10213	153	3	the	the	DET
app01-10213	153	4	stress	stress	NOUN
app01-10213	153	5	variance	variance	NOUN
app01-10213	153	6	illustrated	illustrate	VERB
app01-10213	153	7	in	in	ADP
app01-10213	153	8	figure	figure	NOUN
app01-10213	153	9	9	9	NUM
app01-10213	153	10	.	.	PUNCT
app01-10213	154	1	all	all	DET
app01-10213	154	2	trimmed	trim	VERB
app01-10213	154	3	versions	version	NOUN
app01-10213	154	4	achieve	achieve	VERB
app01-10213	154	5	the	the	DET
app01-10213	154	6	minimum	minimum	ADJ
app01-10213	154	7	values	value	NOUN
app01-10213	154	8	for	for	ADP
app01-10213	154	9	nϕ	nϕ	ADJ
app01-10213	154	10	=	=	ADJ
app01-10213	154	11	200	200	NUM
app01-10213	154	12	,	,	PUNCT
app01-10213	154	13	while	while	SCONJ
app01-10213	154	14	the	the	DET
app01-10213	154	15	real	real	ADV
app01-10213	154	16	-	-	PUNCT
app01-10213	154	17	valued	value	VERB
app01-10213	154	18	versions	version	NOUN
app01-10213	154	19	converge	converge	VERB
app01-10213	154	20	with	with	ADP
app01-10213	154	21	the	the	DET
app01-10213	154	22	higher	high	ADJ
app01-10213	154	23	number	number	NOUN
app01-10213	154	24	of	of	ADP
app01-10213	154	25	involved	involved	ADJ
app01-10213	154	26	eigenmodes	eigenmode	NOUN
app01-10213	154	27	.	.	PUNCT
app01-10213	155	1	the	the	DET
app01-10213	155	2	last	last	ADJ
app01-10213	155	3	comparison	comparison	NOUN
app01-10213	155	4	is	be	AUX
app01-10213	155	5	finally	finally	ADV
app01-10213	155	6	depicted	depict	VERB
app01-10213	155	7	in	in	ADP
app01-10213	155	8	figure	figure	NOUN
app01-10213	155	9	10	10	NUM
app01-10213	155	10	showing	show	VERB
app01-10213	155	11	the	the	DET
app01-10213	155	12	ratio	ratio	NOUN
app01-10213	155	13	between	between	ADP
app01-10213	155	14	the	the	DET
app01-10213	155	15	variances	variance	NOUN
app01-10213	155	16	of	of	ADP
app01-10213	155	17	average	average	ADJ
app01-10213	155	18	stresses	stress	NOUN
app01-10213	155	19	determined	determine	VERB
app01-10213	155	20	from	from	ADP
app01-10213	155	21	the	the	DET
app01-10213	155	22	reference	reference	NOUN
app01-10213	155	23	set	set	VERB
app01-10213	155	24	and	and	CCONJ
app01-10213	155	25	set	set	VERB
app01-10213	155	26	assembled	assemble	VERB
app01-10213	155	27	from	from	ADP
app01-10213	155	28	the	the	DET
app01-10213	155	29	random	random	ADJ
app01-10213	155	30	field	field	NOUN
app01-10213	155	31	-	-	PUNCT
app01-10213	155	32	based	base	VERB
app01-10213	155	33	simulations	simulation	NOUN
app01-10213	155	34	,	,	PUNCT
app01-10213	155	35	respectively	respectively	ADV
app01-10213	155	36	.	.	PUNCT
app01-10213	156	1	other	other	ADJ
app01-10213	156	2	interesting	interesting	ADJ
app01-10213	156	3	findings	finding	NOUN
app01-10213	156	4	arise	arise	VERB
app01-10213	156	5	from	from	ADP
app01-10213	156	6	the	the	DET
app01-10213	156	7	study	study	NOUN
app01-10213	156	8	of	of	ADP
app01-10213	156	9	the	the	DET
app01-10213	156	10	wrong	wrong	ADV
app01-10213	156	11	-	-	PUNCT
app01-10213	156	12	determined	determine	VERB
app01-10213	156	13	input	input	NOUN
app01-10213	156	14	correlation	correlation	NOUN
app01-10213	156	15	lengths	length	NOUN
app01-10213	156	16	caused	cause	VERB
app01-10213	156	17	by	by	ADP
app01-10213	156	18	the	the	DET
app01-10213	156	19	expert	expert	NOUN
app01-10213	156	20	guess	guess	NOUN
app01-10213	156	21	.	.	PUNCT
app01-10213	157	1	it	it	PRON
app01-10213	157	2	can	can	AUX
app01-10213	157	3	be	be	AUX
app01-10213	157	4	seen	see	VERB
app01-10213	157	5	from	from	ADP
app01-10213	157	6	figures	figure	NOUN
app01-10213	157	7	11	11	NUM
app01-10213	157	8	and	and	CCONJ
app01-10213	157	9	12	12	NUM
app01-10213	157	10	that	that	SCONJ
app01-10213	157	11	the	the	DET
app01-10213	157	12	random	random	ADJ
app01-10213	157	13	fields	field	NOUN
app01-10213	157	14	with	with	ADP
app01-10213	157	15	the	the	DET
app01-10213	157	16	incorrect	incorrect	ADJ
app01-10213	157	17	correlation	correlation	NOUN
app01-10213	157	18	lengths	length	NOUN
app01-10213	157	19	as	as	ADP
app01-10213	157	20	an	an	DET
app01-10213	157	21	input	input	NOUN
app01-10213	157	22	can	can	AUX
app01-10213	157	23	have	have	VERB
app01-10213	157	24	fatal	fatal	ADJ
app01-10213	157	25	consequences	consequence	NOUN
app01-10213	157	26	on	on	ADP
app01-10213	157	27	the	the	DET
app01-10213	157	28	material	material	ADJ
app01-10213	157	29	response	response	NOUN
app01-10213	157	30	and	and	CCONJ
app01-10213	157	31	can	can	AUX
app01-10213	157	32	bring	bring	VERB
app01-10213	157	33	no	no	DET
app01-10213	157	34	benefit	benefit	NOUN
app01-10213	157	35	to	to	ADP
app01-10213	157	36	the	the	DET
app01-10213	157	37	probabilistic	probabilistic	ADJ
app01-10213	157	38	analysis	analysis	NOUN
app01-10213	157	39	of	of	ADP
app01-10213	157	40	the	the	DET
app01-10213	157	41	studied	studied	ADJ
app01-10213	157	42	problem	problem	NOUN
app01-10213	157	43	.	.	PUNCT
app01-10213	158	1	from	from	ADP
app01-10213	158	2	the	the	DET
app01-10213	158	3	predicted	predict	VERB
app01-10213	158	4	lines	line	NOUN
app01-10213	158	5	,	,	PUNCT
app01-10213	158	6	the	the	DET
app01-10213	158	7	splitting	splitting	NOUN
app01-10213	158	8	into	into	ADP
app01-10213	158	9	the	the	DET
app01-10213	158	10	realvalued	realvalue	VERB
app01-10213	158	11	and	and	CCONJ
app01-10213	158	12	trimmed	trim	VERB
app01-10213	158	13	groups	group	NOUN
app01-10213	158	14	is	be	AUX
app01-10213	158	15	more	more	ADV
app01-10213	158	16	observed	observed	ADJ
app01-10213	158	17	than	than	ADP
app01-10213	158	18	the	the	DET
app01-10213	158	19	clustering	clustering	NOUN
app01-10213	158	20	based	base	VERB
app01-10213	158	21	on	on	ADP
app01-10213	158	22	the	the	DET
app01-10213	158	23	different	different	ADJ
app01-10213	158	24	covariance	covariance	NOUN
app01-10213	158	25	kernels	kernel	NOUN
app01-10213	158	26	.	.	PUNCT
app01-10213	159	1	83	83	NUM
app01-10213	160	1	david	david	PROPN
app01-10213	160	2	šilhánek	šilhánek	PROPN
app01-10213	160	3	,	,	PUNCT
app01-10213	160	4	jan	jan	PROPN
app01-10213	160	5	sýkora	sýkora	PROPN
app01-10213	160	6	acta	acta	PROPN
app01-10213	160	7	polytechnica	polytechnica	PROPN
app01-10213	160	8	ctu	ctu	PROPN
app01-10213	160	9	proceedings	proceeding	NOUN
app01-10213	160	10	figure	figure	VERB
app01-10213	160	11	12	12	NUM
app01-10213	160	12	.	.	PUNCT
app01-10213	161	1	the	the	DET
app01-10213	161	2	ratio	ratio	NOUN
app01-10213	161	3	of	of	ADP
app01-10213	161	4	the	the	DET
app01-10213	161	5	variances	variance	NOUN
app01-10213	161	6	computed	compute	VERB
app01-10213	161	7	for	for	ADP
app01-10213	161	8	the	the	DET
app01-10213	161	9	average	average	ADJ
app01-10213	161	10	stresses	stress	NOUN
app01-10213	161	11	of	of	ADP
app01-10213	161	12	the	the	DET
app01-10213	161	13	reference	reference	NOUN
app01-10213	161	14	set	set	VERB
app01-10213	161	15	and	and	CCONJ
app01-10213	161	16	set	set	VERB
app01-10213	161	17	assembled	assemble	VERB
app01-10213	161	18	from	from	ADP
app01-10213	161	19	the	the	DET
app01-10213	161	20	random	random	ADJ
app01-10213	161	21	field	field	NOUN
app01-10213	161	22	-	-	PUNCT
app01-10213	161	23	based	base	VERB
app01-10213	161	24	simulations	simulation	NOUN
app01-10213	161	25	#	#	SYM
app01-10213	161	26	7-#14	7-#14	NOUN
app01-10213	161	27	,	,	PUNCT
app01-10213	161	28	nϕ	nϕ	ADJ
app01-10213	161	29	=	=	VERB
app01-10213	161	30	250	250	NUM
app01-10213	161	31	.	.	PUNCT
app01-10213	162	1	taken	take	VERB
app01-10213	162	2	together	together	ADV
app01-10213	162	3	,	,	PUNCT
app01-10213	162	4	the	the	DET
app01-10213	162	5	values	value	NOUN
app01-10213	162	6	of	of	ADP
app01-10213	162	7	error	error	NOUN
app01-10213	162	8	for	for	ADP
app01-10213	162	9	the	the	DET
app01-10213	162	10	real	real	ADV
app01-10213	162	11	-	-	PUNCT
app01-10213	162	12	valued	value	VERB
app01-10213	162	13	random	random	ADJ
app01-10213	162	14	fields	field	NOUN
app01-10213	162	15	are	be	AUX
app01-10213	162	16	large	large	ADJ
app01-10213	162	17	in	in	ADP
app01-10213	162	18	comparison	comparison	NOUN
app01-10213	162	19	to	to	ADP
app01-10213	162	20	other	other	ADJ
app01-10213	162	21	methods	method	NOUN
app01-10213	162	22	,	,	PUNCT
app01-10213	162	23	and	and	CCONJ
app01-10213	162	24	therefore	therefore	ADV
app01-10213	162	25	they	they	PRON
app01-10213	162	26	do	do	AUX
app01-10213	162	27	not	not	PART
app01-10213	162	28	appear	appear	VERB
app01-10213	162	29	to	to	PART
app01-10213	162	30	be	be	AUX
app01-10213	162	31	adequate	adequate	ADJ
app01-10213	162	32	approaches	approach	NOUN
app01-10213	162	33	for	for	ADP
app01-10213	162	34	simulating	simulate	VERB
app01-10213	162	35	such	such	ADJ
app01-10213	162	36	type	type	NOUN
app01-10213	162	37	of	of	ADP
app01-10213	162	38	material	material	NOUN
app01-10213	162	39	.	.	PUNCT
app01-10213	163	1	5	5	X
app01-10213	163	2	.	.	X
app01-10213	163	3	conclusion	conclusion	NOUN
app01-10213	163	4	within	within	ADP
app01-10213	163	5	this	this	DET
app01-10213	163	6	contribution	contribution	NOUN
app01-10213	163	7	,	,	PUNCT
app01-10213	163	8	the	the	DET
app01-10213	163	9	efficiency	efficiency	NOUN
app01-10213	163	10	of	of	ADP
app01-10213	163	11	the	the	DET
app01-10213	163	12	imagebased	imagebased	ADJ
app01-10213	163	13	procedure	procedure	NOUN
app01-10213	163	14	of	of	ADP
app01-10213	163	15	random	random	ADJ
app01-10213	163	16	field	field	NOUN
app01-10213	163	17	construction	construction	NOUN
app01-10213	163	18	was	be	AUX
app01-10213	163	19	studied	study	VERB
app01-10213	163	20	with	with	ADP
app01-10213	163	21	classical	classical	ADJ
app01-10213	163	22	methods	method	NOUN
app01-10213	163	23	on	on	ADP
app01-10213	163	24	the	the	DET
app01-10213	163	25	elastic	elastic	ADJ
app01-10213	163	26	problem	problem	NOUN
app01-10213	163	27	of	of	ADP
app01-10213	163	28	the	the	DET
app01-10213	163	29	two	two	NUM
app01-10213	163	30	-	-	PUNCT
app01-10213	163	31	phase	phase	NOUN
app01-10213	163	32	material	material	NOUN
app01-10213	163	33	.	.	PUNCT
app01-10213	164	1	good	good	ADJ
app01-10213	164	2	results	result	NOUN
app01-10213	164	3	have	have	AUX
app01-10213	164	4	been	be	AUX
app01-10213	164	5	obtained	obtain	VERB
app01-10213	164	6	for	for	ADP
app01-10213	164	7	trimmed	trimmed	ADJ
app01-10213	164	8	versions	version	NOUN
app01-10213	164	9	of	of	ADP
app01-10213	164	10	random	random	ADJ
app01-10213	164	11	fields	field	NOUN
app01-10213	164	12	.	.	PUNCT
app01-10213	165	1	here	here	ADV
app01-10213	165	2	,	,	PUNCT
app01-10213	165	3	our	our	PRON
app01-10213	165	4	proposed	propose	VERB
app01-10213	165	5	techniques	technique	NOUN
app01-10213	165	6	for	for	ADP
app01-10213	165	7	identifying	identify	VERB
app01-10213	165	8	properties	property	NOUN
app01-10213	165	9	from	from	ADP
app01-10213	165	10	images	image	NOUN
app01-10213	165	11	,	,	PUNCT
app01-10213	165	12	e.g.	e.g.	ADV
app01-10213	165	13	correlation	correlation	NOUN
app01-10213	165	14	lengths	length	NOUN
app01-10213	165	15	or	or	CCONJ
app01-10213	165	16	imagebased	imagebase	VERB
app01-10213	165	17	covariance	covariance	NOUN
app01-10213	165	18	,	,	PUNCT
app01-10213	165	19	are	be	AUX
app01-10213	165	20	beneficial	beneficial	ADJ
app01-10213	165	21	and	and	CCONJ
app01-10213	165	22	can	can	AUX
app01-10213	165	23	be	be	AUX
app01-10213	165	24	applied	apply	VERB
app01-10213	165	25	to	to	ADP
app01-10213	165	26	such	such	ADJ
app01-10213	165	27	problems	problem	NOUN
app01-10213	165	28	.	.	PUNCT
app01-10213	166	1	unfortunately	unfortunately	ADV
app01-10213	166	2	,	,	PUNCT
app01-10213	166	3	these	these	DET
app01-10213	166	4	random	random	ADJ
app01-10213	166	5	field	field	NOUN
app01-10213	166	6	constructions	construction	NOUN
app01-10213	166	7	can	can	AUX
app01-10213	166	8	no	no	ADV
app01-10213	166	9	longer	long	ADV
app01-10213	166	10	exploit	exploit	VERB
app01-10213	166	11	the	the	DET
app01-10213	166	12	potential	potential	NOUN
app01-10213	166	13	of	of	ADP
app01-10213	166	14	the	the	DET
app01-10213	166	15	karhunen	karhunen	NOUN
app01-10213	166	16	-	-	PUNCT
app01-10213	166	17	loève	loève	NOUN
app01-10213	166	18	expansion	expansion	NOUN
app01-10213	166	19	,	,	PUNCT
app01-10213	166	20	and	and	CCONJ
app01-10213	166	21	their	their	PRON
app01-10213	166	22	contribution	contribution	NOUN
app01-10213	166	23	to	to	ADP
app01-10213	166	24	the	the	DET
app01-10213	166	25	stochastic	stochastic	ADJ
app01-10213	166	26	finite	finite	NOUN
app01-10213	166	27	method	method	NOUN
app01-10213	166	28	in	in	ADP
app01-10213	166	29	terms	term	NOUN
app01-10213	166	30	of	of	ADP
app01-10213	166	31	acceleration	acceleration	NOUN
app01-10213	166	32	is	be	AUX
app01-10213	166	33	not	not	PART
app01-10213	166	34	significant	significant	ADJ
app01-10213	166	35	.	.	PUNCT
app01-10213	167	1	acknowledgements	acknowledgement	NOUN
app01-10213	167	2	the	the	DET
app01-10213	167	3	authors	author	NOUN
app01-10213	167	4	are	be	AUX
app01-10213	167	5	thankful	thankful	ADJ
app01-10213	167	6	for	for	ADP
app01-10213	167	7	financial	financial	ADJ
app01-10213	167	8	support	support	NOUN
app01-10213	167	9	from	from	ADP
app01-10213	167	10	the	the	DET
app01-10213	167	11	student	student	NOUN
app01-10213	167	12	grant	grant	NOUN
app01-10213	167	13	competition	competition	NOUN
app01-10213	167	14	of	of	ADP
app01-10213	167	15	ctu	ctu	NOUN
app01-10213	167	16	,	,	PUNCT
app01-10213	167	17	project	project	NOUN
app01-10213	167	18	no	no	NOUN
app01-10213	167	19	.	.	PUNCT
app01-10213	168	1	sgs23/152	sgs23/152	PROPN
app01-10213	168	2	/	/	SYM
app01-10213	169	1	ohk1/3t/11	ohk1/3t/11	PROPN
app01-10213	169	2	and	and	CCONJ
app01-10213	169	3	the	the	DET
app01-10213	169	4	czech	czech	PROPN
app01-10213	169	5	science	science	PROPN
app01-10213	169	6	foundation	foundation	PROPN
app01-10213	169	7	,	,	PUNCT
app01-10213	169	8	project	project	VERB
app01-10213	169	9	no	no	NOUN
app01-10213	169	10	.	.	NOUN
app01-10213	170	1	22	22	NUM
app01-10213	170	2	-	-	PUNCT
app01-10213	170	3	35755k	35755k	NUM
app01-10213	170	4	.	.	PUNCT
app01-10213	171	1	references	reference	NOUN
app01-10213	171	2	[	[	X
app01-10213	171	3	1	1	NUM
app01-10213	171	4	]	]	PUNCT
app01-10213	171	5	r.	r.	PROPN
app01-10213	171	6	g.	g.	PROPN
app01-10213	171	7	ghanem	ghanem	PROPN
app01-10213	171	8	,	,	PUNCT
app01-10213	171	9	p.	p.	PROPN
app01-10213	171	10	d.	d.	PROPN
app01-10213	171	11	spanos	spanos	PROPN
app01-10213	171	12	.	.	PUNCT
app01-10213	172	1	stochastic	stochastic	ADJ
app01-10213	172	2	finite	finite	ADJ
app01-10213	172	3	elements	element	NOUN
app01-10213	172	4	:	:	PUNCT
app01-10213	172	5	a	a	DET
app01-10213	172	6	spectral	spectral	ADJ
app01-10213	172	7	approach	approach	NOUN
app01-10213	172	8	.	.	PUNCT
app01-10213	173	1	springer	springer	PROPN
app01-10213	173	2	new	new	PROPN
app01-10213	173	3	york	york	PROPN
app01-10213	173	4	,	,	PUNCT
app01-10213	173	5	usa	usa	PROPN
app01-10213	173	6	,	,	PUNCT
app01-10213	173	7	1991	1991	NUM
app01-10213	173	8	.	.	PUNCT
app01-10213	174	1	https://doi.org/10.1007/978-1-4612-3094-6	https://doi.org/10.1007/978-1-4612-3094-6	PROPN
app01-10213	175	1	[	[	X
app01-10213	175	2	2	2	NUM
app01-10213	175	3	]	]	PUNCT
app01-10213	175	4	b.	b.	PROPN
app01-10213	175	5	rosić	rosić	PROPN
app01-10213	175	6	,	,	PUNCT
app01-10213	175	7	h.	h.	PROPN
app01-10213	175	8	g.	g.	PROPN
app01-10213	175	9	matthies	matthies	PROPN
app01-10213	175	10	.	.	PUNCT
app01-10213	176	1	computational	computational	ADJ
app01-10213	176	2	approaches	approach	NOUN
app01-10213	176	3	to	to	ADP
app01-10213	176	4	inelastic	inelastic	ADJ
app01-10213	176	5	media	medium	NOUN
app01-10213	176	6	with	with	ADP
app01-10213	176	7	uncertain	uncertain	ADJ
app01-10213	176	8	parameters	parameter	NOUN
app01-10213	176	9	.	.	PUNCT
app01-10213	177	1	journal	journal	NOUN
app01-10213	177	2	of	of	ADP
app01-10213	177	3	the	the	DET
app01-10213	177	4	serbian	serbian	ADJ
app01-10213	177	5	society	society	NOUN
app01-10213	177	6	for	for	ADP
app01-10213	177	7	computational	computational	ADJ
app01-10213	177	8	mechanics	mechanic	NOUN
app01-10213	177	9	2(1):28–43	2(1):28–43	NUM
app01-10213	177	10	,	,	PUNCT
app01-10213	177	11	2008	2008	NUM
app01-10213	177	12	.	.	PUNCT
app01-10213	178	1	[	[	X
app01-10213	178	2	3	3	X
app01-10213	178	3	]	]	X
app01-10213	178	4	r.	r.	PROPN
app01-10213	178	5	j.	j.	PROPN
app01-10213	178	6	adler	adler	PROPN
app01-10213	178	7	,	,	PUNCT
app01-10213	178	8	j.	j.	PROPN
app01-10213	178	9	e.	e.	PROPN
app01-10213	178	10	taylor	taylor	PROPN
app01-10213	178	11	.	.	PUNCT
app01-10213	179	1	random	random	ADJ
app01-10213	179	2	fields	field	NOUN
app01-10213	179	3	and	and	CCONJ
app01-10213	179	4	geometry	geometry	NOUN
app01-10213	179	5	.	.	PUNCT
app01-10213	180	1	springer	springer	NOUN
app01-10213	180	2	-	-	PUNCT
app01-10213	180	3	verlag	verlag	PROPN
app01-10213	180	4	new	new	PROPN
app01-10213	180	5	york	york	PROPN
app01-10213	180	6	,	,	PUNCT
app01-10213	180	7	usa	usa	PROPN
app01-10213	180	8	,	,	PUNCT
app01-10213	180	9	2007	2007	NUM
app01-10213	180	10	.	.	PUNCT
app01-10213	181	1	https://doi.org/10.1007/978-0-387-48116-6	https://doi.org/10.1007/978-0-387-48116-6	PUNCT
app01-10213	182	1	[	[	X
app01-10213	182	2	4	4	X
app01-10213	182	3	]	]	PUNCT
app01-10213	182	4	j.	j.	PROPN
app01-10213	182	5	havelka	havelka	PROPN
app01-10213	182	6	,	,	PUNCT
app01-10213	182	7	a.	a.	PROPN
app01-10213	182	8	kučerová	kučerová	PROPN
app01-10213	182	9	,	,	PUNCT
app01-10213	182	10	j.	j.	PROPN
app01-10213	182	11	sýkora	sýkora	PROPN
app01-10213	182	12	.	.	PUNCT
app01-10213	183	1	dimensionality	dimensionality	NOUN
app01-10213	183	2	reduction	reduction	NOUN
app01-10213	183	3	in	in	ADP
app01-10213	183	4	thermal	thermal	ADJ
app01-10213	183	5	tomography	tomography	NOUN
app01-10213	183	6	.	.	PUNCT
app01-10213	184	1	computers	computer	NOUN
app01-10213	184	2	&	&	CCONJ
app01-10213	184	3	mathematics	mathematics	PROPN
app01-10213	184	4	with	with	ADP
app01-10213	184	5	applications	application	NOUN
app01-10213	184	6	78(9):3077–3089	78(9):3077–3089	NUM
app01-10213	184	7	,	,	PUNCT
app01-10213	184	8	2019	2019	NUM
app01-10213	184	9	.	.	PUNCT
app01-10213	185	1	https://doi.org/10.1016/j.camwa.2019.04.019	https://doi.org/10.1016/j.camwa.2019.04.019	NOUN
app01-10213	185	2	[	[	X
app01-10213	185	3	5	5	NUM
app01-10213	185	4	]	]	PUNCT
app01-10213	185	5	m.	m.	NOUN
app01-10213	185	6	lombardo	lombardo	PROPN
app01-10213	185	7	,	,	PUNCT
app01-10213	185	8	j.	j.	PROPN
app01-10213	185	9	zeman	zeman	PROPN
app01-10213	185	10	,	,	PUNCT
app01-10213	185	11	m.	m.	NOUN
app01-10213	185	12	sejnoha	sejnoha	PROPN
app01-10213	185	13	,	,	PUNCT
app01-10213	185	14	g.	g.	PROPN
app01-10213	185	15	falsone	falsone	PROPN
app01-10213	185	16	.	.	PUNCT
app01-10213	186	1	stochastic	stochastic	ADJ
app01-10213	186	2	modeling	modeling	NOUN
app01-10213	186	3	of	of	ADP
app01-10213	186	4	chaotic	chaotic	ADJ
app01-10213	186	5	masonry	masonry	NOUN
app01-10213	186	6	via	via	ADP
app01-10213	186	7	mesostructural	mesostructural	ADJ
app01-10213	186	8	characterization	characterization	NOUN
app01-10213	186	9	.	.	PUNCT
app01-10213	187	1	international	international	ADJ
app01-10213	187	2	journal	journal	PROPN
app01-10213	187	3	for	for	ADP
app01-10213	187	4	multiscale	multiscale	ADJ
app01-10213	187	5	computational	computational	ADJ
app01-10213	187	6	engineering	engineering	NOUN
app01-10213	187	7	7(2):171–185	7(2):171–185	NOUN
app01-10213	187	8	,	,	PUNCT
app01-10213	187	9	2009	2009	NUM
app01-10213	187	10	.	.	PUNCT
app01-10213	188	1	https	https	NOUN
app01-10213	188	2	:	:	PUNCT
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app01-10213	190	2	6	6	NUM
app01-10213	190	3	]	]	X
app01-10213	190	4	j.-h	j.-h	NOUN
app01-10213	190	5	.	.	PUNCT
app01-10213	191	1	yun	yun	PROPN
app01-10213	191	2	,	,	PUNCT
app01-10213	191	3	y.-j	y.-j	PROPN
app01-10213	191	4	.	.	PROPN
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app01-10213	191	6	,	,	PUNCT
app01-10213	191	7	m.-s	m.-s	PROPN
app01-10213	191	8	.	.	PUNCT
app01-10213	192	1	kang	kang	PROPN
app01-10213	192	2	.	.	PUNCT
app01-10213	193	1	analysis	analysis	NOUN
app01-10213	193	2	of	of	ADP
app01-10213	193	3	elastic	elastic	ADJ
app01-10213	193	4	properties	property	NOUN
app01-10213	193	5	of	of	ADP
app01-10213	193	6	polypropylene	polypropylene	NOUN
app01-10213	193	7	composite	composite	ADJ
app01-10213	193	8	materials	material	NOUN
app01-10213	193	9	with	with	ADP
app01-10213	193	10	ultra	ultra	ADJ
app01-10213	193	11	-	-	ADJ
app01-10213	193	12	high	high	ADJ
app01-10213	193	13	molecular	molecular	ADJ
app01-10213	193	14	weight	weight	NOUN
app01-10213	193	15	polyethylene	polyethylene	NOUN
app01-10213	193	16	spherical	spherical	ADJ
app01-10213	193	17	reinforcement	reinforcement	NOUN
app01-10213	193	18	.	.	PUNCT
app01-10213	194	1	materials	material	NOUN
app01-10213	194	2	15(16):5602	15(16):5602	NUM
app01-10213	194	3	,	,	PUNCT
app01-10213	194	4	2022	2022	NUM
app01-10213	194	5	.	.	PUNCT
app01-10213	195	1	https://doi.org/10.3390/ma15165602	https://doi.org/10.3390/ma15165602	PUNCT
app01-10213	196	1	[	[	X
app01-10213	196	2	7	7	X
app01-10213	196	3	]	]	X
app01-10213	196	4	j.	j.	PROPN
app01-10213	196	5	havelka	havelka	PROPN
app01-10213	196	6	,	,	PUNCT
app01-10213	196	7	a.	a.	PROPN
app01-10213	196	8	kučerová	kučerová	PROPN
app01-10213	196	9	,	,	PUNCT
app01-10213	196	10	j.	j.	PROPN
app01-10213	196	11	sýkora	sýkora	PROPN
app01-10213	196	12	.	.	PUNCT
app01-10213	196	13	compression	compression	NOUN
app01-10213	196	14	and	and	CCONJ
app01-10213	196	15	reconstruction	reconstruction	NOUN
app01-10213	196	16	of	of	ADP
app01-10213	196	17	random	random	ADJ
app01-10213	196	18	microstructures	microstructure	NOUN
app01-10213	196	19	using	use	VERB
app01-10213	196	20	accelerated	accelerate	VERB
app01-10213	196	21	lineal	lineal	ADJ
app01-10213	196	22	path	path	NOUN
app01-10213	196	23	function	function	NOUN
app01-10213	196	24	.	.	PUNCT
app01-10213	197	1	computational	computational	ADJ
app01-10213	197	2	materials	material	NOUN
app01-10213	197	3	science	science	NOUN
app01-10213	197	4	122:102–117	122:102–117	NUM
app01-10213	197	5	,	,	PUNCT
app01-10213	197	6	2016	2016	NUM
app01-10213	197	7	.	.	PUNCT
app01-10213	198	1	https://doi.org/10.1016/j.commatsci.2016.04.044	https://doi.org/10.1016/j.commatsci.2016.04.044	NOUN
app01-10213	198	2	84	84	NUM
app01-10213	198	3	https://doi.org/10.1007/978-1-4612-3094-6	https://doi.org/10.1007/978-1-4612-3094-6	PROPN
app01-10213	199	1	https://doi.org/10.1007/978-0-387-48116-6	https://doi.org/10.1007/978-0-387-48116-6	PROPN
app01-10213	199	2	https://doi.org/10.1016/j.camwa.2019.04.019	https://doi.org/10.1016/j.camwa.2019.04.019	VERB
app01-10213	199	3	https://doi.org/10.1615/intjmultcompeng.v7.i2.70	https://doi.org/10.1615/intjmultcompeng.v7.i2.70	NUM
app01-10213	199	4	https://doi.org/10.1615/intjmultcompeng.v7.i2.70	https://doi.org/10.1615/intjmultcompeng.v7.i2.70	NUM
app01-10213	199	5	https://doi.org/10.3390/ma15165602	https://doi.org/10.3390/ma15165602	PUNCT
app01-10213	199	6	https://doi.org/10.1016/j.commatsci.2016.04.044	https://doi.org/10.1016/j.commatsci.2016.04.044	PROPN
app01-10213	199	7	acta	acta	PROPN
app01-10213	199	8	polytechnica	polytechnica	PROPN
app01-10213	199	9	ctu	ctu	NOUN
app01-10213	199	10	proceedings	proceeding	NOUN
app01-10213	199	11	49:77–84	49:77–84	NOUN
app01-10213	199	12	,	,	PUNCT
app01-10213	199	13	2024	2024	NUM
app01-10213	199	14	1	1	NUM
app01-10213	199	15	introduction	introduction	NOUN
app01-10213	199	16	2	2	NUM
app01-10213	199	17	estimation	estimation	NOUN
app01-10213	199	18	of	of	ADP
app01-10213	199	19	the	the	DET
app01-10213	199	20	rve	rve	PROPN
app01-10213	199	21	cell	cell	PROPN
app01-10213	199	22	3	3	NUM
app01-10213	199	23	numerical	numerical	ADJ
app01-10213	199	24	example	example	NOUN
app01-10213	199	25	3.1	3.1	NUM
app01-10213	199	26	random	random	ADJ
app01-10213	199	27	field	field	NOUN
app01-10213	199	28	3.1.1	3.1.1	NUM
app01-10213	199	29	karhunen	karhunen	NOUN
app01-10213	199	30	-	-	PUNCT
app01-10213	199	31	loève	loève	NOUN
app01-10213	199	32	expansion	expansion	NOUN
app01-10213	199	33	3.1.2	3.1.2	NUM
app01-10213	199	34	description	description	NOUN
app01-10213	199	35	of	of	ADP
app01-10213	199	36	tested	test	VERB
app01-10213	199	37	random	random	ADJ
app01-10213	199	38	field	field	NOUN
app01-10213	199	39	3.2	3.2	NUM
app01-10213	199	40	homogenization	homogenization	NOUN
app01-10213	199	41	bounds	bound	VERB
app01-10213	199	42	4	4	NUM
app01-10213	199	43	results	result	NOUN
app01-10213	199	44	5	5	NUM
app01-10213	199	45	conclusion	conclusion	NOUN
app01-10213	199	46	acknowledgements	acknowledgement	NOUN
app01-10213	199	47	references	reference	NOUN