id	sid	tid	token	lemma	pos
ijassa-1167	1	1	microsoft	microsoft	PROPN
ijassa-1167	1	2	word	word	PROPN
ijassa-1167	1	3	1167	1167	NUM
ijassa-1167	1	4	adv	adv	PROPN
ijassa-1167	1	5	syst	syst	PROPN
ijassa-1167	1	6	sci	sci	PROPN
ijassa-1167	1	7	appl	appl	PROPN
ijassa-1167	1	8	2022	2022	NUM
ijassa-1167	1	9	;	;	PUNCT
ijassa-1167	1	10	04	04	NUM
ijassa-1167	1	11	;	;	PUNCT
ijassa-1167	1	12	233	233	NUM
ijassa-1167	1	13	-	-	SYM
ijassa-1167	1	14	241	241	NUM
ijassa-1167	1	15	published	publish	VERB
ijassa-1167	1	16	online	online	ADV
ijassa-1167	1	17	at	at	ADP
ijassa-1167	1	18	http://ijassa.ipu.ru	http://ijassa.ipu.ru	ADV
ijassa-1167	1	19	.	.	PUNCT
ijassa-1167	2	1	estimation	estimation	NOUN
ijassa-1167	2	2	of	of	ADP
ijassa-1167	2	3	the	the	DET
ijassa-1167	2	4	posterior	posterior	ADJ
ijassa-1167	2	5	probabilities	probability	NOUN
ijassa-1167	2	6	of	of	ADP
ijassa-1167	2	7	classes	class	NOUN
ijassa-1167	2	8	by	by	ADP
ijassa-1167	2	9	the	the	DET
ijassa-1167	2	10	approximation	approximation	NOUN
ijassa-1167	2	11	of	of	ADP
ijassa-1167	2	12	the	the	DET
ijassa-1167	2	13	anderson	anderson	PROPN
ijassa-1167	2	14	discriminant	discriminant	PROPN
ijassa-1167	2	15	function	function	PROPN
ijassa-1167	2	16	valery	valery	PROPN
ijassa-1167	2	17	zenkov	zenkov	PROPN
ijassa-1167	2	18	v.a	v.a	PROPN
ijassa-1167	2	19	.	.	PROPN
ijassa-1167	2	20	trapeznikov	trapeznikov	PROPN
ijassa-1167	2	21	institute	institute	PROPN
ijassa-1167	2	22	of	of	ADP
ijassa-1167	2	23	control	control	PROPN
ijassa-1167	2	24	sciences	sciences	PROPN
ijassa-1167	2	25	of	of	ADP
ijassa-1167	2	26	ras	ras	PROPN
ijassa-1167	2	27	,	,	PUNCT
ijassa-1167	2	28	moscow	moscow	PROPN
ijassa-1167	2	29	,	,	PUNCT
ijassa-1167	2	30	russia	russia	PROPN
ijassa-1167	2	31	email	email	NOUN
ijassa-1167	2	32	:	:	PUNCT
ijassa-1167	2	33	zenkov-v@yandex.ru	zenkov-v@yandex.ru	X
ijassa-1167	2	34	abstract	abstract	NOUN
ijassa-1167	2	35	:	:	PUNCT
ijassa-1167	2	36	the	the	DET
ijassa-1167	2	37	approximation	approximation	NOUN
ijassa-1167	2	38	of	of	ADP
ijassa-1167	2	39	the	the	DET
ijassa-1167	2	40	anderson	anderson	PROPN
ijassa-1167	2	41	discriminant	discriminant	PROPN
ijassa-1167	2	42	function	function	VERB
ijassa-1167	2	43	at	at	ADP
ijassa-1167	2	44	a	a	DET
ijassa-1167	2	45	given	give	VERB
ijassa-1167	2	46	point	point	NOUN
ijassa-1167	2	47	in	in	ADP
ijassa-1167	2	48	the	the	DET
ijassa-1167	2	49	feature	feature	NOUN
ijassa-1167	2	50	space	space	NOUN
ijassa-1167	2	51	of	of	ADP
ijassa-1167	2	52	two	two	NUM
ijassa-1167	2	53	classes	class	NOUN
ijassa-1167	2	54	using	use	VERB
ijassa-1167	2	55	a	a	DET
ijassa-1167	2	56	supervised	supervised	ADJ
ijassa-1167	2	57	training	training	NOUN
ijassa-1167	2	58	sample	sample	NOUN
ijassa-1167	2	59	allows	allow	VERB
ijassa-1167	2	60	estimating	estimate	VERB
ijassa-1167	2	61	the	the	DET
ijassa-1167	2	62	posterior	posterior	ADJ
ijassa-1167	2	63	probabilities	probability	NOUN
ijassa-1167	2	64	of	of	ADP
ijassa-1167	2	65	classes	class	NOUN
ijassa-1167	2	66	as	as	ADV
ijassa-1167	2	67	easily	easily	ADV
ijassa-1167	2	68	as	as	ADP
ijassa-1167	2	69	converting	convert	VERB
ijassa-1167	2	70	fahrenheit	fahrenheit	NOUN
ijassa-1167	2	71	degrees	degree	NOUN
ijassa-1167	2	72	to	to	ADP
ijassa-1167	2	73	celsius	celsius	NOUN
ijassa-1167	2	74	degrees	degree	NOUN
ijassa-1167	2	75	.	.	PUNCT
ijassa-1167	3	1	these	these	DET
ijassa-1167	3	2	probabilities	probability	NOUN
ijassa-1167	3	3	make	make	VERB
ijassa-1167	3	4	it	it	PRON
ijassa-1167	3	5	possible	possible	ADJ
ijassa-1167	3	6	to	to	PART
ijassa-1167	3	7	further	far	ADV
ijassa-1167	3	8	solve	solve	VERB
ijassa-1167	3	9	the	the	DET
ijassa-1167	3	10	classification	classification	NOUN
ijassa-1167	3	11	problem	problem	NOUN
ijassa-1167	3	12	with	with	ADP
ijassa-1167	3	13	subjectively	subjectively	ADV
ijassa-1167	3	14	specified	specify	VERB
ijassa-1167	3	15	costs	cost	NOUN
ijassa-1167	3	16	of	of	ADP
ijassa-1167	3	17	classification	classification	NOUN
ijassa-1167	3	18	errors	error	NOUN
ijassa-1167	3	19	and	and	CCONJ
ijassa-1167	3	20	criteria	criterion	NOUN
ijassa-1167	3	21	.	.	PUNCT
ijassa-1167	4	1	the	the	DET
ijassa-1167	4	2	training	training	NOUN
ijassa-1167	4	3	sample	sample	NOUN
ijassa-1167	4	4	is	be	AUX
ijassa-1167	4	5	simply	simply	ADV
ijassa-1167	4	6	converted	convert	VERB
ijassa-1167	4	7	to	to	ADP
ijassa-1167	4	8	a	a	DET
ijassa-1167	4	9	regression	regression	NOUN
ijassa-1167	4	10	analysis	analysis	NOUN
ijassa-1167	4	11	sample	sample	NOUN
ijassa-1167	4	12	by	by	ADP
ijassa-1167	4	13	replacing	replace	VERB
ijassa-1167	4	14	the	the	DET
ijassa-1167	4	15	class	class	NOUN
ijassa-1167	4	16	numbers	number	NOUN
ijassa-1167	4	17	with	with	ADP
ijassa-1167	4	18	differences	difference	NOUN
ijassa-1167	4	19	in	in	ADP
ijassa-1167	4	20	error	error	NOUN
ijassa-1167	4	21	costs	cost	NOUN
ijassa-1167	4	22	.	.	PUNCT
ijassa-1167	5	1	a	a	DET
ijassa-1167	5	2	nonparametric	nonparametric	NOUN
ijassa-1167	5	3	method	method	NOUN
ijassa-1167	5	4	for	for	ADP
ijassa-1167	5	5	approximating	approximate	VERB
ijassa-1167	5	6	the	the	DET
ijassa-1167	5	7	discriminant	discriminant	NOUN
ijassa-1167	5	8	function	function	VERB
ijassa-1167	5	9	at	at	ADP
ijassa-1167	5	10	a	a	DET
ijassa-1167	5	11	point	point	NOUN
ijassa-1167	5	12	is	be	AUX
ijassa-1167	5	13	proposed	propose	VERB
ijassa-1167	5	14	.	.	PUNCT
ijassa-1167	6	1	it	it	PRON
ijassa-1167	6	2	does	do	AUX
ijassa-1167	6	3	not	not	PART
ijassa-1167	6	4	require	require	VERB
ijassa-1167	6	5	the	the	DET
ijassa-1167	6	6	specification	specification	NOUN
ijassa-1167	6	7	of	of	ADP
ijassa-1167	6	8	an	an	DET
ijassa-1167	6	9	approximation	approximation	NOUN
ijassa-1167	6	10	function	function	NOUN
ijassa-1167	6	11	at	at	ADP
ijassa-1167	6	12	a	a	DET
ijassa-1167	6	13	point	point	NOUN
ijassa-1167	6	14	more	more	ADV
ijassa-1167	6	15	complex	complex	ADJ
ijassa-1167	6	16	than	than	ADP
ijassa-1167	6	17	a	a	DET
ijassa-1167	6	18	linear	linear	ADJ
ijassa-1167	6	19	one	one	NUM
ijassa-1167	6	20	.	.	PUNCT
ijassa-1167	7	1	examples	example	NOUN
ijassa-1167	7	2	are	be	AUX
ijassa-1167	7	3	given	give	VERB
ijassa-1167	7	4	.	.	PUNCT
ijassa-1167	8	1	keywords	keyword	NOUN
ijassa-1167	8	2	:	:	PUNCT
ijassa-1167	8	3	machine	machine	NOUN
ijassa-1167	8	4	learning	learning	NOUN
ijassa-1167	8	5	,	,	PUNCT
ijassa-1167	8	6	anderson	anderson	PROPN
ijassa-1167	8	7	discriminant	discriminant	PROPN
ijassa-1167	8	8	function	function	PROPN
ijassa-1167	8	9	,	,	PUNCT
ijassa-1167	8	10	approximation	approximation	NOUN
ijassa-1167	8	11	,	,	PUNCT
ijassa-1167	8	12	class	class	NOUN
ijassa-1167	8	13	posterior	posterior	ADJ
ijassa-1167	8	14	probability	probability	NOUN
ijassa-1167	8	15	,	,	PUNCT
ijassa-1167	8	16	weighted	weight	VERB
ijassa-1167	8	17	least	least	ADJ
ijassa-1167	8	18	squares	square	NOUN
ijassa-1167	8	19	.	.	PUNCT
ijassa-1167	9	1	1	1	X
ijassa-1167	9	2	.	.	X
ijassa-1167	9	3	introduction	introduction	NOUN
ijassa-1167	9	4	the	the	DET
ijassa-1167	9	5	posterior	posterior	ADJ
ijassa-1167	9	6	probabilities	probability	NOUN
ijassa-1167	9	7	(	(	PUNCT
ijassa-1167	9	8	pop	pop	NOUN
ijassa-1167	9	9	)	)	PUNCT
ijassa-1167	9	10	of	of	ADP
ijassa-1167	9	11	the	the	DET
ijassa-1167	9	12	classes	class	NOUN
ijassa-1167	9	13	are	be	AUX
ijassa-1167	9	14	exhaustive	exhaustive	ADJ
ijassa-1167	9	15	information	information	NOUN
ijassa-1167	9	16	for	for	ADP
ijassa-1167	9	17	solving	solve	VERB
ijassa-1167	9	18	the	the	DET
ijassa-1167	9	19	problem	problem	NOUN
ijassa-1167	9	20	of	of	ADP
ijassa-1167	9	21	object	object	NOUN
ijassa-1167	9	22	classification	classification	NOUN
ijassa-1167	9	23	.	.	PUNCT
ijassa-1167	10	1	they	they	PRON
ijassa-1167	10	2	allow	allow	VERB
ijassa-1167	10	3	attributing	attribute	VERB
ijassa-1167	10	4	a	a	DET
ijassa-1167	10	5	classification	classification	NOUN
ijassa-1167	10	6	object	object	NOUN
ijassa-1167	10	7	to	to	ADP
ijassa-1167	10	8	a	a	DET
ijassa-1167	10	9	particular	particular	ADJ
ijassa-1167	10	10	class	class	NOUN
ijassa-1167	10	11	,	,	PUNCT
ijassa-1167	10	12	taking	take	VERB
ijassa-1167	10	13	into	into	ADP
ijassa-1167	10	14	account	account	NOUN
ijassa-1167	10	15	different	different	ADJ
ijassa-1167	10	16	matrices	matrix	NOUN
ijassa-1167	10	17	of	of	ADP
ijassa-1167	10	18	the	the	DET
ijassa-1167	10	19	costs	cost	NOUN
ijassa-1167	10	20	of	of	ADP
ijassa-1167	10	21	classification	classification	NOUN
ijassa-1167	10	22	errors	error	NOUN
ijassa-1167	10	23	,	,	PUNCT
ijassa-1167	10	24	set	set	VERB
ijassa-1167	10	25	by	by	ADP
ijassa-1167	10	26	the	the	DET
ijassa-1167	10	27	user	user	NOUN
ijassa-1167	10	28	not	not	PART
ijassa-1167	10	29	only	only	ADV
ijassa-1167	10	30	for	for	ADP
ijassa-1167	10	31	the	the	DET
ijassa-1167	10	32	entire	entire	ADJ
ijassa-1167	10	33	task	task	NOUN
ijassa-1167	10	34	as	as	ADP
ijassa-1167	10	35	a	a	DET
ijassa-1167	10	36	whole	whole	NOUN
ijassa-1167	10	37	,	,	PUNCT
ijassa-1167	10	38	but	but	CCONJ
ijassa-1167	10	39	also	also	ADV
ijassa-1167	10	40	for	for	ADP
ijassa-1167	10	41	some	some	DET
ijassa-1167	10	42	categories	category	NOUN
ijassa-1167	10	43	of	of	ADP
ijassa-1167	10	44	classified	classified	ADJ
ijassa-1167	10	45	objects	object	NOUN
ijassa-1167	10	46	separately	separately	ADV
ijassa-1167	10	47	,	,	PUNCT
ijassa-1167	10	48	for	for	ADP
ijassa-1167	10	49	example	example	NOUN
ijassa-1167	10	50	,	,	PUNCT
ijassa-1167	10	51	by	by	ADP
ijassa-1167	10	52	the	the	DET
ijassa-1167	10	53	status	status	NOUN
ijassa-1167	10	54	of	of	ADP
ijassa-1167	10	55	the	the	DET
ijassa-1167	10	56	classified	classified	ADJ
ijassa-1167	10	57	object	object	NOUN
ijassa-1167	10	58	.	.	PUNCT
ijassa-1167	11	1	we	we	PRON
ijassa-1167	11	2	solve	solve	VERB
ijassa-1167	11	3	the	the	DET
ijassa-1167	11	4	problem	problem	NOUN
ijassa-1167	11	5	in	in	ADP
ijassa-1167	11	6	two	two	NUM
ijassa-1167	11	7	steps	step	NOUN
ijassa-1167	11	8	.	.	PUNCT
ijassa-1167	12	1	at	at	ADP
ijassa-1167	12	2	the	the	DET
ijassa-1167	12	3	first	first	ADJ
ijassa-1167	12	4	stage	stage	NOUN
ijassa-1167	12	5	,	,	PUNCT
ijassa-1167	12	6	for	for	ADP
ijassa-1167	12	7	the	the	DET
ijassa-1167	12	8	object	object	NOUN
ijassa-1167	12	9	of	of	ADP
ijassa-1167	12	10	classification	classification	NOUN
ijassa-1167	12	11	,	,	PUNCT
ijassa-1167	12	12	we	we	PRON
ijassa-1167	12	13	find	find	VERB
ijassa-1167	12	14	the	the	DET
ijassa-1167	12	15	pop	pop	NOUN
ijassa-1167	12	16	of	of	ADP
ijassa-1167	12	17	the	the	DET
ijassa-1167	12	18	classes	class	NOUN
ijassa-1167	12	19	objective	objective	ADJ
ijassa-1167	12	20	data	datum	NOUN
ijassa-1167	12	21	.	.	PUNCT
ijassa-1167	13	1	at	at	ADP
ijassa-1167	13	2	the	the	DET
ijassa-1167	13	3	second	second	ADJ
ijassa-1167	13	4	stage	stage	NOUN
ijassa-1167	13	5	,	,	PUNCT
ijassa-1167	13	6	we	we	PRON
ijassa-1167	13	7	assign	assign	VERB
ijassa-1167	13	8	the	the	DET
ijassa-1167	13	9	object	object	NOUN
ijassa-1167	13	10	to	to	ADP
ijassa-1167	13	11	one	one	NUM
ijassa-1167	13	12	or	or	CCONJ
ijassa-1167	13	13	another	another	DET
ijassa-1167	13	14	class	class	NOUN
ijassa-1167	13	15	,	,	PUNCT
ijassa-1167	13	16	taking	take	VERB
ijassa-1167	13	17	into	into	ADP
ijassa-1167	13	18	account	account	NOUN
ijassa-1167	13	19	the	the	DET
ijassa-1167	13	20	subjective	subjective	ADJ
ijassa-1167	13	21	preferences	preference	NOUN
ijassa-1167	13	22	of	of	ADP
ijassa-1167	13	23	the	the	DET
ijassa-1167	13	24	user	user	NOUN
ijassa-1167	13	25	:	:	PUNCT
ijassa-1167	14	1	different	different	ADJ
ijassa-1167	14	2	the	the	DET
ijassa-1167	14	3	classification	classification	NOUN
ijassa-1167	14	4	error	error	NOUN
ijassa-1167	14	5	costs	cost	NOUN
ijassa-1167	14	6	,	,	PUNCT
ijassa-1167	14	7	the	the	DET
ijassa-1167	14	8	method	method	NOUN
ijassa-1167	14	9	of	of	ADP
ijassa-1167	14	10	making	make	VERB
ijassa-1167	14	11	a	a	DET
ijassa-1167	14	12	decision	decision	NOUN
ijassa-1167	14	13	taking	take	VERB
ijassa-1167	14	14	into	into	ADP
ijassa-1167	14	15	account	account	NOUN
ijassa-1167	14	16	some	some	DET
ijassa-1167	14	17	restrictions	restriction	NOUN
ijassa-1167	14	18	,	,	PUNCT
ijassa-1167	14	19	etc	etc	X
ijassa-1167	14	20	.	.	X
ijassa-1167	14	21	in	in	ADP
ijassa-1167	14	22	connection	connection	NOUN
ijassa-1167	14	23	with	with	ADP
ijassa-1167	14	24	the	the	DET
ijassa-1167	14	25	importance	importance	NOUN
ijassa-1167	14	26	of	of	ADP
ijassa-1167	14	27	the	the	DET
ijassa-1167	14	28	pop	pop	NOUN
ijassa-1167	14	29	of	of	ADP
ijassa-1167	14	30	the	the	DET
ijassa-1167	14	31	classes	class	NOUN
ijassa-1167	14	32	for	for	ADP
ijassa-1167	14	33	solving	solve	VERB
ijassa-1167	14	34	the	the	DET
ijassa-1167	14	35	classification	classification	NOUN
ijassa-1167	14	36	problem	problem	NOUN
ijassa-1167	14	37	and	and	CCONJ
ijassa-1167	14	38	for	for	ADP
ijassa-1167	14	39	interpreting	interpret	VERB
ijassa-1167	14	40	the	the	DET
ijassa-1167	14	41	decisions	decision	NOUN
ijassa-1167	14	42	made	make	VERB
ijassa-1167	14	43	when	when	SCONJ
ijassa-1167	14	44	classifying	classify	VERB
ijassa-1167	14	45	objects	object	NOUN
ijassa-1167	14	46	,	,	PUNCT
ijassa-1167	14	47	add	add	NOUN
ijassa-1167	14	48	-	-	PUNCT
ijassa-1167	14	49	ons	ons	NOUN
ijassa-1167	14	50	to	to	ADP
ijassa-1167	14	51	some	some	DET
ijassa-1167	14	52	already	already	ADV
ijassa-1167	14	53	existing	exist	VERB
ijassa-1167	14	54	classification	classification	NOUN
ijassa-1167	14	55	methods	method	NOUN
ijassa-1167	14	56	are	be	AUX
ijassa-1167	14	57	used	use	VERB
ijassa-1167	14	58	.	.	PUNCT
ijassa-1167	15	1	so	so	ADV
ijassa-1167	15	2	,	,	PUNCT
ijassa-1167	15	3	for	for	ADP
ijassa-1167	15	4	the	the	DET
ijassa-1167	15	5	support	support	NOUN
ijassa-1167	15	6	vector	vector	NOUN
ijassa-1167	15	7	machine	machine	NOUN
ijassa-1167	15	8	,	,	PUNCT
ijassa-1167	15	9	the	the	DET
ijassa-1167	15	10	platt	platt	NOUN
ijassa-1167	15	11	calibrator	calibrator	NOUN
ijassa-1167	15	12	is	be	AUX
ijassa-1167	15	13	used	use	VERB
ijassa-1167	15	14	[	[	PUNCT
ijassa-1167	15	15	1	1	NUM
ijassa-1167	15	16	]	]	PUNCT
ijassa-1167	15	17	,	,	PUNCT
ijassa-1167	15	18	which	which	PRON
ijassa-1167	15	19	estimates	estimate	VERB
ijassa-1167	15	20	the	the	DET
ijassa-1167	15	21	pop	pop	NOUN
ijassa-1167	15	22	of	of	ADP
ijassa-1167	15	23	the	the	DET
ijassa-1167	15	24	classes	class	NOUN
ijassa-1167	15	25	by	by	ADP
ijassa-1167	15	26	the	the	DET
ijassa-1167	15	27	distance	distance	NOUN
ijassa-1167	15	28	of	of	ADP
ijassa-1167	15	29	a	a	DET
ijassa-1167	15	30	point	point	NOUN
ijassa-1167	15	31	in	in	ADP
ijassa-1167	15	32	the	the	DET
ijassa-1167	15	33	class	class	NOUN
ijassa-1167	15	34	feature	feature	NOUN
ijassa-1167	15	35	space	space	NOUN
ijassa-1167	15	36	to	to	ADP
ijassa-1167	15	37	the	the	DET
ijassa-1167	15	38	boundary	boundary	NOUN
ijassa-1167	15	39	between	between	ADP
ijassa-1167	15	40	classes	class	NOUN
ijassa-1167	15	41	.	.	PUNCT
ijassa-1167	16	1	in	in	ADP
ijassa-1167	16	2	this	this	DET
ijassa-1167	16	3	case	case	NOUN
ijassa-1167	16	4	,	,	PUNCT
ijassa-1167	16	5	a	a	DET
ijassa-1167	16	6	hypothesis	hypothesis	NOUN
ijassa-1167	16	7	is	be	AUX
ijassa-1167	16	8	put	put	VERB
ijassa-1167	16	9	forward	forward	ADV
ijassa-1167	16	10	about	about	ADP
ijassa-1167	16	11	the	the	DET
ijassa-1167	16	12	form	form	NOUN
ijassa-1167	16	13	of	of	ADP
ijassa-1167	16	14	the	the	DET
ijassa-1167	16	15	dependence	dependence	NOUN
ijassa-1167	16	16	of	of	ADP
ijassa-1167	16	17	the	the	DET
ijassa-1167	16	18	pop	pop	NOUN
ijassa-1167	16	19	of	of	ADP
ijassa-1167	16	20	the	the	DET
ijassa-1167	16	21	classes	class	NOUN
ijassa-1167	16	22	on	on	ADP
ijassa-1167	16	23	the	the	DET
ijassa-1167	16	24	distance	distance	NOUN
ijassa-1167	16	25	of	of	ADP
ijassa-1167	16	26	the	the	DET
ijassa-1167	16	27	point	point	NOUN
ijassa-1167	16	28	to	to	ADP
ijassa-1167	16	29	the	the	DET
ijassa-1167	16	30	boundary	boundary	NOUN
ijassa-1167	16	31	between	between	ADP
ijassa-1167	16	32	the	the	DET
ijassa-1167	16	33	classes	class	NOUN
ijassa-1167	16	34	,	,	PUNCT
ijassa-1167	16	35	and	and	CCONJ
ijassa-1167	16	36	then	then	ADV
ijassa-1167	16	37	the	the	DET
ijassa-1167	16	38	parameters	parameter	NOUN
ijassa-1167	16	39	of	of	ADP
ijassa-1167	16	40	the	the	DET
ijassa-1167	16	41	hypothetical	hypothetical	ADJ
ijassa-1167	16	42	dependence	dependence	NOUN
ijassa-1167	16	43	are	be	AUX
ijassa-1167	16	44	found	find	VERB
ijassa-1167	16	45	using	use	VERB
ijassa-1167	16	46	the	the	DET
ijassa-1167	16	47	maximum	maximum	ADJ
ijassa-1167	16	48	likelihood	likelihood	NOUN
ijassa-1167	16	49	method	method	NOUN
ijassa-1167	16	50	using	use	VERB
ijassa-1167	16	51	the	the	DET
ijassa-1167	16	52	training	training	NOUN
ijassa-1167	16	53	set	set	NOUN
ijassa-1167	16	54	.	.	PUNCT
ijassa-1167	17	1	the	the	DET
ijassa-1167	17	2	anderson	anderson	PROPN
ijassa-1167	17	3	discriminant	discriminant	PROPN
ijassa-1167	17	4	function	function	PROPN
ijassa-1167	17	5	(	(	PUNCT
ijassa-1167	17	6	adf	adf	PROPN
ijassa-1167	17	7	)	)	PUNCT
ijassa-1167	17	8	,	,	PUNCT
ijassa-1167	17	9	according	accord	VERB
ijassa-1167	17	10	to	to	ADP
ijassa-1167	17	11	the	the	DET
ijassa-1167	17	12	sign	sign	NOUN
ijassa-1167	17	13	of	of	ADP
ijassa-1167	17	14	which	which	PRON
ijassa-1167	17	15	a	a	DET
ijassa-1167	17	16	point	point	NOUN
ijassa-1167	17	17	in	in	ADP
ijassa-1167	17	18	the	the	DET
ijassa-1167	17	19	class	class	NOUN
ijassa-1167	17	20	feature	feature	NOUN
ijassa-1167	17	21	space	space	NOUN
ijassa-1167	17	22	belongs	belong	VERB
ijassa-1167	17	23	to	to	ADP
ijassa-1167	17	24	one	one	NUM
ijassa-1167	17	25	of	of	ADP
ijassa-1167	17	26	two	two	NUM
ijassa-1167	17	27	classes	class	NOUN
ijassa-1167	17	28	,	,	PUNCT
ijassa-1167	17	29	is	be	AUX
ijassa-1167	17	30	a	a	DET
ijassa-1167	17	31	regression	regression	NOUN
ijassa-1167	17	32	dependence	dependence	NOUN
ijassa-1167	17	33	.	.	PUNCT
ijassa-1167	18	1	it	it	PRON
ijassa-1167	18	2	is	be	AUX
ijassa-1167	18	3	convenient	convenient	ADJ
ijassa-1167	18	4	in	in	ADP
ijassa-1167	18	5	that	that	PRON
ijassa-1167	18	6	,	,	PUNCT
ijassa-1167	18	7	according	accord	VERB
ijassa-1167	18	8	to	to	ADP
ijassa-1167	18	9	its	its	PRON
ijassa-1167	18	10	approximation	approximation	NOUN
ijassa-1167	18	11	,	,	PUNCT
ijassa-1167	18	12	obtained	obtain	VERB
ijassa-1167	18	13	by	by	ADP
ijassa-1167	18	14	the	the	DET
ijassa-1167	18	15	weighted	weight	VERB
ijassa-1167	18	16	least	least	ADJ
ijassa-1167	18	17	squares	square	NOUN
ijassa-1167	18	18	method	method	NOUN
ijassa-1167	18	19	from	from	ADP
ijassa-1167	18	20	a	a	DET
ijassa-1167	18	21	supervised	supervised	ADJ
ijassa-1167	18	22	training	training	NOUN
ijassa-1167	18	23	set	set	NOUN
ijassa-1167	18	24	and	and	CCONJ
ijassa-1167	18	25	by	by	ADP
ijassa-1167	18	26	the	the	DET
ijassa-1167	18	27	cost	cost	NOUN
ijassa-1167	18	28	of	of	ADP
ijassa-1167	18	29	classification	classification	NOUN
ijassa-1167	18	30	errors	error	NOUN
ijassa-1167	18	31	used	use	VERB
ijassa-1167	18	32	to	to	PART
ijassa-1167	18	33	determine	determine	VERB
ijassa-1167	18	34	it	it	PRON
ijassa-1167	18	35	,	,	PUNCT
ijassa-1167	18	36	we	we	PRON
ijassa-1167	18	37	calculate	calculate	VERB
ijassa-1167	18	38	pop	pop	NOUN
ijassa-1167	18	39	classes	class	NOUN
ijassa-1167	18	40	as	as	ADV
ijassa-1167	18	41	simply	simply	ADV
ijassa-1167	18	42	as	as	SCONJ
ijassa-1167	18	43	we	we	PRON
ijassa-1167	18	44	get	get	VERB
ijassa-1167	18	45	degrees	degree	NOUN
ijassa-1167	18	46	celsius	celsius	NOUN
ijassa-1167	18	47	from	from	ADP
ijassa-1167	18	48	degrees	degree	NOUN
ijassa-1167	18	49	fahrenheit	fahrenheit	NOUN
ijassa-1167	18	50	.	.	PUNCT
ijassa-1167	19	1	we	we	PRON
ijassa-1167	19	2	define	define	VERB
ijassa-1167	19	3	adf	adf	PROPN
ijassa-1167	19	4	from	from	ADP
ijassa-1167	19	5	the	the	DET
ijassa-1167	19	6	bayesian	bayesian	NOUN
ijassa-1167	19	7	solution	solution	NOUN
ijassa-1167	19	8	of	of	ADP
ijassa-1167	19	9	the	the	DET
ijassa-1167	19	10	classification	classification	NOUN
ijassa-1167	19	11	problem	problem	NOUN
ijassa-1167	19	12	[	[	X
ijassa-1167	19	13	2	2	NUM
ijassa-1167	19	14	]	]	PUNCT
ijassa-1167	19	15	,	,	PUNCT
ijassa-1167	19	16	obtained	obtain	VERB
ijassa-1167	19	17	by	by	ADP
ijassa-1167	19	18	theodore	theodore	PROPN
ijassa-1167	19	19	wilburne	wilburne	PROPN
ijassa-1167	19	20	anderson	anderson	PROPN
ijassa-1167	19	21	.	.	PUNCT
ijassa-1167	20	1	adf	adf	PROPN
ijassa-1167	20	2	is	be	AUX
ijassa-1167	20	3	the	the	DET
ijassa-1167	20	4	difference	difference	NOUN
ijassa-1167	20	5	between	between	ADP
ijassa-1167	20	6	the	the	DET
ijassa-1167	20	7	two	two	NUM
ijassa-1167	20	8	functions	function	NOUN
ijassa-1167	20	9	of	of	ADP
ijassa-1167	20	10	average	average	ADJ
ijassa-1167	20	11	losses	loss	NOUN
ijassa-1167	20	12	from	from	ADP
ijassa-1167	20	13	classification	classification	NOUN
ijassa-1167	20	14	errors	error	NOUN
ijassa-1167	20	15	in	in	ADP
ijassa-1167	20	16	the	the	DET
ijassa-1167	20	17	space	space	NOUN
ijassa-1167	20	18	of	of	ADP
ijassa-1167	20	19	attributes	attribute	NOUN
ijassa-1167	20	20	of	of	ADP
ijassa-1167	20	21	the	the	DET
ijassa-1167	20	22	two	two	NUM
ijassa-1167	20	23	classes	class	NOUN
ijassa-1167	20	24	at	at	ADP
ijassa-1167	20	25	given	give	VERB
ijassa-1167	20	26	costs	cost	NOUN
ijassa-1167	20	27	of	of	ADP
ijassa-1167	20	28	losses	loss	NOUN
ijassa-1167	20	29	from	from	ADP
ijassa-1167	20	30	classification	classification	NOUN
ijassa-1167	20	31	errors	error	NOUN
ijassa-1167	20	32	.	.	PUNCT
ijassa-1167	21	1	234	234	NUM
ijassa-1167	21	2	v.	v.	ADP
ijassa-1167	21	3	zenkov	zenkov	PROPN
ijassa-1167	21	4	copyright	copyright	PROPN
ijassa-1167	21	5	©	©	PROPN
ijassa-1167	21	6	2022	2022	NUM
ijassa-1167	21	7	assa	assa	PROPN
ijassa-1167	21	8	adv	adv	PROPN
ijassa-1167	21	9	.	.	PUNCT
ijassa-1167	22	1	in	in	ADP
ijassa-1167	22	2	systems	system	NOUN
ijassa-1167	22	3	science	science	NOUN
ijassa-1167	22	4	and	and	CCONJ
ijassa-1167	22	5	appl	appl	NOUN
ijassa-1167	22	6	.	.	PUNCT
ijassa-1167	23	1	(	(	PUNCT
ijassa-1167	23	2	2022	2022	NUM
ijassa-1167	23	3	)	)	PUNCT
ijassa-1167	23	4	we	we	PRON
ijassa-1167	23	5	approximate	approximate	VERB
ijassa-1167	23	6	the	the	DET
ijassa-1167	23	7	adf	adf	NOUN
ijassa-1167	23	8	using	use	VERB
ijassa-1167	23	9	a	a	DET
ijassa-1167	23	10	supervised	supervised	ADJ
ijassa-1167	23	11	training	training	NOUN
ijassa-1167	23	12	set	set	NOUN
ijassa-1167	23	13	of	of	ADP
ijassa-1167	23	14	the	the	DET
ijassa-1167	23	15	classification	classification	NOUN
ijassa-1167	23	16	problem	problem	NOUN
ijassa-1167	23	17	,	,	PUNCT
ijassa-1167	23	18	transforming	transform	VERB
ijassa-1167	23	19	it	it	PRON
ijassa-1167	23	20	into	into	ADP
ijassa-1167	23	21	a	a	DET
ijassa-1167	23	22	regression	regression	NOUN
ijassa-1167	23	23	analysis	analysis	NOUN
ijassa-1167	23	24	set	set	VERB
ijassa-1167	23	25	by	by	ADP
ijassa-1167	23	26	replacing	replace	VERB
ijassa-1167	23	27	the	the	DET
ijassa-1167	23	28	class	class	NOUN
ijassa-1167	23	29	numbers	number	NOUN
ijassa-1167	23	30	(	(	PUNCT
ijassa-1167	23	31	labels	label	NOUN
ijassa-1167	23	32	)	)	PUNCT
ijassa-1167	23	33	with	with	ADP
ijassa-1167	23	34	the	the	DET
ijassa-1167	23	35	corresponding	correspond	VERB
ijassa-1167	23	36	differences	difference	NOUN
ijassa-1167	23	37	in	in	ADP
ijassa-1167	23	38	the	the	DET
ijassa-1167	23	39	cost	cost	NOUN
ijassa-1167	23	40	of	of	ADP
ijassa-1167	23	41	classification	classification	NOUN
ijassa-1167	23	42	errors	error	NOUN
ijassa-1167	23	43	.	.	PUNCT
ijassa-1167	24	1	when	when	SCONJ
ijassa-1167	24	2	approximating	approximate	VERB
ijassa-1167	24	3	the	the	DET
ijassa-1167	24	4	adf	adf	NOUN
ijassa-1167	24	5	at	at	ADP
ijassa-1167	24	6	a	a	DET
ijassa-1167	24	7	point	point	NOUN
ijassa-1167	24	8	,	,	PUNCT
ijassa-1167	24	9	there	there	PRON
ijassa-1167	24	10	is	be	VERB
ijassa-1167	24	11	no	no	DET
ijassa-1167	24	12	need	need	NOUN
ijassa-1167	24	13	to	to	PART
ijassa-1167	24	14	specify	specify	VERB
ijassa-1167	24	15	the	the	DET
ijassa-1167	24	16	form	form	NOUN
ijassa-1167	24	17	of	of	ADP
ijassa-1167	24	18	the	the	DET
ijassa-1167	24	19	approximating	approximate	VERB
ijassa-1167	24	20	dependence	dependence	NOUN
ijassa-1167	24	21	in	in	ADP
ijassa-1167	24	22	the	the	DET
ijassa-1167	24	23	class	class	NOUN
ijassa-1167	24	24	feature	feature	NOUN
ijassa-1167	24	25	space	space	NOUN
ijassa-1167	24	26	.	.	PUNCT
ijassa-1167	25	1	it	it	PRON
ijassa-1167	25	2	is	be	AUX
ijassa-1167	25	3	enough	enough	ADJ
ijassa-1167	25	4	to	to	PART
ijassa-1167	25	5	construct	construct	VERB
ijassa-1167	25	6	a	a	DET
ijassa-1167	25	7	linear	linear	ADJ
ijassa-1167	25	8	approximation	approximation	NOUN
ijassa-1167	25	9	of	of	ADP
ijassa-1167	25	10	the	the	DET
ijassa-1167	25	11	adf	adf	NOUN
ijassa-1167	25	12	by	by	ADP
ijassa-1167	25	13	the	the	DET
ijassa-1167	25	14	closest	close	ADJ
ijassa-1167	25	15	points	point	NOUN
ijassa-1167	25	16	to	to	ADP
ijassa-1167	25	17	a	a	DET
ijassa-1167	25	18	given	give	VERB
ijassa-1167	25	19	point	point	NOUN
ijassa-1167	25	20	,	,	PUNCT
ijassa-1167	25	21	or	or	CCONJ
ijassa-1167	25	22	by	by	ADP
ijassa-1167	25	23	the	the	DET
ijassa-1167	25	24	nadaray	nadaray	PROPN
ijassa-1167	25	25	-	-	PUNCT
ijassa-1167	25	26	watson	watson	PROPN
ijassa-1167	25	27	method	method	NOUN
ijassa-1167	25	28	[	[	X
ijassa-1167	25	29	3	3	X
ijassa-1167	25	30	]	]	PUNCT
ijassa-1167	25	31	to	to	PART
ijassa-1167	25	32	find	find	VERB
ijassa-1167	25	33	the	the	DET
ijassa-1167	25	34	adf	adf	NOUN
ijassa-1167	25	35	value	value	NOUN
ijassa-1167	25	36	at	at	ADP
ijassa-1167	25	37	this	this	DET
ijassa-1167	25	38	point	point	NOUN
ijassa-1167	25	39	.	.	PUNCT
ijassa-1167	26	1	the	the	DET
ijassa-1167	26	2	pop	pop	NOUN
ijassa-1167	26	3	estimates	estimate	NOUN
ijassa-1167	26	4	of	of	ADP
ijassa-1167	26	5	the	the	DET
ijassa-1167	26	6	classes	class	NOUN
ijassa-1167	26	7	at	at	ADP
ijassa-1167	26	8	a	a	DET
ijassa-1167	26	9	point	point	NOUN
ijassa-1167	26	10	based	base	VERB
ijassa-1167	26	11	on	on	ADP
ijassa-1167	26	12	the	the	DET
ijassa-1167	26	13	adf	adf	NOUN
ijassa-1167	26	14	approximation	approximation	NOUN
ijassa-1167	26	15	at	at	ADP
ijassa-1167	26	16	this	this	DET
ijassa-1167	26	17	point	point	NOUN
ijassa-1167	26	18	do	do	AUX
ijassa-1167	26	19	not	not	PART
ijassa-1167	26	20	depend	depend	VERB
ijassa-1167	26	21	on	on	ADP
ijassa-1167	26	22	the	the	DET
ijassa-1167	26	23	choice	choice	NOUN
ijassa-1167	26	24	of	of	ADP
ijassa-1167	26	25	error	error	NOUN
ijassa-1167	26	26	costs	cost	NOUN
ijassa-1167	26	27	used	use	VERB
ijassa-1167	26	28	to	to	PART
ijassa-1167	26	29	determine	determine	VERB
ijassa-1167	26	30	the	the	DET
ijassa-1167	26	31	adf	adf	NOUN
ijassa-1167	26	32	.	.	PUNCT
ijassa-1167	27	1	you	you	PRON
ijassa-1167	27	2	can	can	AUX
ijassa-1167	27	3	set	set	VERB
ijassa-1167	27	4	the	the	DET
ijassa-1167	27	5	error	error	NOUN
ijassa-1167	27	6	costs	cost	NOUN
ijassa-1167	27	7	equal	equal	ADJ
ijassa-1167	27	8	,	,	PUNCT
ijassa-1167	27	9	for	for	ADP
ijassa-1167	27	10	example	example	NOUN
ijassa-1167	27	11	,	,	PUNCT
ijassa-1167	27	12	1	1	NUM
ijassa-1167	27	13	and	and	CCONJ
ijassa-1167	27	14	1	1	NUM
ijassa-1167	27	15	,	,	PUNCT
ijassa-1167	27	16	or	or	CCONJ
ijassa-1167	27	17	not	not	PART
ijassa-1167	27	18	equal	equal	ADJ
ijassa-1167	27	19	,	,	PUNCT
ijassa-1167	27	20	for	for	ADP
ijassa-1167	27	21	example	example	NOUN
ijassa-1167	27	22	,	,	PUNCT
ijassa-1167	27	23	2	2	NUM
ijassa-1167	27	24	and	and	CCONJ
ijassa-1167	27	25	5	5	NUM
ijassa-1167	27	26	.	.	PUNCT
ijassa-1167	28	1	the	the	DET
ijassa-1167	28	2	adf	adf	NOUN
ijassa-1167	28	3	and	and	CCONJ
ijassa-1167	28	4	approximations	approximation	NOUN
ijassa-1167	28	5	at	at	ADP
ijassa-1167	28	6	the	the	DET
ijassa-1167	28	7	point	point	NOUN
ijassa-1167	28	8	will	will	AUX
ijassa-1167	28	9	be	be	AUX
ijassa-1167	28	10	different	different	ADJ
ijassa-1167	28	11	,	,	PUNCT
ijassa-1167	28	12	but	but	CCONJ
ijassa-1167	28	13	the	the	DET
ijassa-1167	28	14	pop	pop	NOUN
ijassa-1167	28	15	estimates	estimate	NOUN
ijassa-1167	28	16	at	at	ADP
ijassa-1167	28	17	the	the	DET
ijassa-1167	28	18	point	point	NOUN
ijassa-1167	28	19	will	will	AUX
ijassa-1167	28	20	be	be	AUX
ijassa-1167	28	21	the	the	DET
ijassa-1167	28	22	same	same	ADJ
ijassa-1167	28	23	.	.	PUNCT
ijassa-1167	29	1	this	this	PRON
ijassa-1167	29	2	is	be	AUX
ijassa-1167	29	3	the	the	DET
ijassa-1167	29	4	main	main	ADJ
ijassa-1167	29	5	property	property	NOUN
ijassa-1167	29	6	of	of	ADP
ijassa-1167	29	7	adf	adf	PROPN
ijassa-1167	29	8	.	.	PUNCT
ijassa-1167	30	1	the	the	DET
ijassa-1167	30	2	classification	classification	NOUN
ijassa-1167	30	3	error	error	NOUN
ijassa-1167	30	4	costs	cost	NOUN
ijassa-1167	30	5	are	be	AUX
ijassa-1167	30	6	used	use	VERB
ijassa-1167	30	7	to	to	PART
ijassa-1167	30	8	transform	transform	VERB
ijassa-1167	30	9	the	the	DET
ijassa-1167	30	10	supervised	supervised	ADJ
ijassa-1167	30	11	training	training	NOUN
ijassa-1167	30	12	set	set	VERB
ijassa-1167	30	13	into	into	ADP
ijassa-1167	30	14	a	a	DET
ijassa-1167	30	15	regression	regression	NOUN
ijassa-1167	30	16	analysis	analysis	NOUN
ijassa-1167	30	17	set	set	VERB
ijassa-1167	30	18	.	.	PUNCT
ijassa-1167	31	1	class	class	NOUN
ijassa-1167	31	2	numbers	number	NOUN
ijassa-1167	31	3	in	in	ADP
ijassa-1167	31	4	the	the	DET
ijassa-1167	31	5	first	first	ADJ
ijassa-1167	31	6	case	case	NOUN
ijassa-1167	31	7	are	be	AUX
ijassa-1167	31	8	replaced	replace	VERB
ijassa-1167	31	9	by	by	ADP
ijassa-1167	31	10	-1	-1	PUNCT
ijassa-1167	31	11	and	and	CCONJ
ijassa-1167	31	12	+1	+1	X
ijassa-1167	31	13	in	in	ADP
ijassa-1167	31	14	the	the	DET
ijassa-1167	31	15	first	first	ADJ
ijassa-1167	31	16	case	case	NOUN
ijassa-1167	31	17	and	and	CCONJ
ijassa-1167	31	18	by	by	ADP
ijassa-1167	31	19	-2	-2	INTJ
ijassa-1167	31	20	and	and	CCONJ
ijassa-1167	31	21	+5	+5	PROPN
ijassa-1167	31	22	in	in	ADP
ijassa-1167	31	23	the	the	DET
ijassa-1167	31	24	second	second	ADJ
ijassa-1167	31	25	case	case	NOUN
ijassa-1167	31	26	.	.	PUNCT
ijassa-1167	32	1	due	due	ADP
ijassa-1167	32	2	to	to	ADP
ijassa-1167	32	3	the	the	DET
ijassa-1167	32	4	independence	independence	NOUN
ijassa-1167	32	5	of	of	ADP
ijassa-1167	32	6	the	the	DET
ijassa-1167	32	7	estimates	estimate	NOUN
ijassa-1167	32	8	of	of	ADP
ijassa-1167	32	9	the	the	DET
ijassa-1167	32	10	pop	pop	NOUN
ijassa-1167	32	11	of	of	ADP
ijassa-1167	32	12	the	the	DET
ijassa-1167	32	13	classes	class	NOUN
ijassa-1167	32	14	on	on	ADP
ijassa-1167	32	15	the	the	DET
ijassa-1167	32	16	choice	choice	NOUN
ijassa-1167	32	17	of	of	ADP
ijassa-1167	32	18	the	the	DET
ijassa-1167	32	19	costs	cost	NOUN
ijassa-1167	32	20	of	of	ADP
ijassa-1167	32	21	classification	classification	NOUN
ijassa-1167	32	22	errors	error	NOUN
ijassa-1167	32	23	,	,	PUNCT
ijassa-1167	32	24	the	the	DET
ijassa-1167	32	25	classification	classification	NOUN
ijassa-1167	32	26	error	error	NOUN
ijassa-1167	32	27	can	can	AUX
ijassa-1167	32	28	always	always	ADV
ijassa-1167	32	29	be	be	AUX
ijassa-1167	32	30	set	set	VERB
ijassa-1167	32	31	to	to	ADP
ijassa-1167	32	32	0.5	0.5	NUM
ijassa-1167	32	33	and	and	CCONJ
ijassa-1167	32	34	0.5	0.5	NUM
ijassa-1167	32	35	.	.	PUNCT
ijassa-1167	33	1	the	the	DET
ijassa-1167	33	2	method	method	NOUN
ijassa-1167	33	3	for	for	ADP
ijassa-1167	33	4	obtaining	obtain	VERB
ijassa-1167	33	5	pop	pop	NOUN
ijassa-1167	33	6	estimates	estimate	NOUN
ijassa-1167	33	7	from	from	ADP
ijassa-1167	33	8	the	the	DET
ijassa-1167	33	9	adf	adf	NOUN
ijassa-1167	33	10	approximation	approximation	NOUN
ijassa-1167	33	11	does	do	AUX
ijassa-1167	33	12	not	not	PART
ijassa-1167	33	13	depend	depend	VERB
ijassa-1167	33	14	on	on	ADP
ijassa-1167	33	15	the	the	DET
ijassa-1167	33	16	class	class	NOUN
ijassa-1167	33	17	imbalance	imbalance	NOUN
ijassa-1167	33	18	in	in	ADP
ijassa-1167	33	19	the	the	DET
ijassa-1167	33	20	training	training	NOUN
ijassa-1167	33	21	sample	sample	NOUN
ijassa-1167	33	22	.	.	PUNCT
ijassa-1167	34	1	class	class	NOUN
ijassa-1167	34	2	imbalance	imbalance	NOUN
ijassa-1167	34	3	in	in	ADP
ijassa-1167	34	4	the	the	DET
ijassa-1167	34	5	training	training	NOUN
ijassa-1167	34	6	set	set	NOUN
ijassa-1167	34	7	occurs	occur	VERB
ijassa-1167	34	8	when	when	SCONJ
ijassa-1167	34	9	the	the	DET
ijassa-1167	34	10	number	number	NOUN
ijassa-1167	34	11	of	of	ADP
ijassa-1167	34	12	points	point	NOUN
ijassa-1167	34	13	of	of	ADP
ijassa-1167	34	14	one	one	NUM
ijassa-1167	34	15	class	class	NOUN
ijassa-1167	34	16	is	be	AUX
ijassa-1167	34	17	much	much	ADV
ijassa-1167	34	18	less	less	ADJ
ijassa-1167	34	19	than	than	ADP
ijassa-1167	34	20	the	the	DET
ijassa-1167	34	21	number	number	NOUN
ijassa-1167	34	22	of	of	ADP
ijassa-1167	34	23	points	point	NOUN
ijassa-1167	34	24	of	of	ADP
ijassa-1167	34	25	another	another	DET
ijassa-1167	34	26	class	class	NOUN
ijassa-1167	34	27	.	.	PUNCT
ijassa-1167	35	1	class	class	NOUN
ijassa-1167	35	2	imbalance	imbalance	NOUN
ijassa-1167	35	3	makes	make	VERB
ijassa-1167	35	4	it	it	PRON
ijassa-1167	35	5	difficult	difficult	ADJ
ijassa-1167	35	6	to	to	PART
ijassa-1167	35	7	detect	detect	VERB
ijassa-1167	35	8	objects	object	NOUN
ijassa-1167	35	9	of	of	ADP
ijassa-1167	35	10	a	a	DET
ijassa-1167	35	11	small	small	ADJ
ijassa-1167	35	12	class	class	NOUN
ijassa-1167	35	13	if	if	SCONJ
ijassa-1167	35	14	classification	classification	NOUN
ijassa-1167	35	15	methods	method	NOUN
ijassa-1167	35	16	are	be	AUX
ijassa-1167	35	17	used	use	VERB
ijassa-1167	35	18	that	that	PRON
ijassa-1167	35	19	are	be	AUX
ijassa-1167	35	20	not	not	PART
ijassa-1167	35	21	based	base	VERB
ijassa-1167	35	22	on	on	ADP
ijassa-1167	35	23	pop	pop	NOUN
ijassa-1167	35	24	estimations	estimation	NOUN
ijassa-1167	35	25	and	and	CCONJ
ijassa-1167	35	26	costs	cost	NOUN
ijassa-1167	35	27	of	of	ADP
ijassa-1167	35	28	classification	classification	NOUN
ijassa-1167	35	29	errors	error	NOUN
ijassa-1167	35	30	.	.	PUNCT
ijassa-1167	36	1	the	the	DET
ijassa-1167	36	2	method	method	NOUN
ijassa-1167	36	3	for	for	ADP
ijassa-1167	36	4	solving	solve	VERB
ijassa-1167	36	5	the	the	DET
ijassa-1167	36	6	classification	classification	NOUN
ijassa-1167	36	7	problem	problem	NOUN
ijassa-1167	36	8	at	at	ADP
ijassa-1167	36	9	a	a	DET
ijassa-1167	36	10	point	point	NOUN
ijassa-1167	36	11	in	in	ADP
ijassa-1167	36	12	the	the	DET
ijassa-1167	36	13	feature	feature	NOUN
ijassa-1167	36	14	space	space	NOUN
ijassa-1167	36	15	using	use	VERB
ijassa-1167	36	16	a	a	DET
ijassa-1167	36	17	supervised	supervised	ADJ
ijassa-1167	36	18	training	training	NOUN
ijassa-1167	36	19	set	set	NOUN
ijassa-1167	36	20	,	,	PUNCT
ijassa-1167	36	21	when	when	SCONJ
ijassa-1167	36	22	we	we	PRON
ijassa-1167	36	23	use	use	VERB
ijassa-1167	36	24	the	the	DET
ijassa-1167	36	25	entire	entire	ADJ
ijassa-1167	36	26	training	training	NOUN
ijassa-1167	36	27	set	set	VERB
ijassa-1167	36	28	for	for	ADP
ijassa-1167	36	29	each	each	DET
ijassa-1167	36	30	classified	classified	ADJ
ijassa-1167	36	31	point	point	NOUN
ijassa-1167	36	32	,	,	PUNCT
ijassa-1167	36	33	is	be	AUX
ijassa-1167	36	34	nonparametric	nonparametric	NOUN
ijassa-1167	36	35	,	,	PUNCT
ijassa-1167	36	36	and	and	CCONJ
ijassa-1167	36	37	the	the	DET
ijassa-1167	36	38	resulting	result	VERB
ijassa-1167	36	39	model	model	NOUN
ijassa-1167	36	40	is	be	AUX
ijassa-1167	36	41	a	a	DET
ijassa-1167	36	42	nonparametric	nonparametric	ADJ
ijassa-1167	36	43	model	model	NOUN
ijassa-1167	36	44	.	.	PUNCT
ijassa-1167	37	1	2	2	NUM
ijassa-1167	37	2	.	.	X
ijassa-1167	37	3	anderson	anderson	PROPN
ijassa-1167	37	4	discriminant	discriminant	PROPN
ijassa-1167	37	5	function	function	VERB
ijassa-1167	37	6	we	we	PRON
ijassa-1167	37	7	define	define	VERB
ijassa-1167	37	8	adf	adf	PROPN
ijassa-1167	37	9	as	as	ADP
ijassa-1167	37	10	the	the	DET
ijassa-1167	37	11	difference	difference	NOUN
ijassa-1167	37	12	of	of	ADP
ijassa-1167	37	13	two	two	NUM
ijassa-1167	37	14	functions	function	NOUN
ijassa-1167	37	15	of	of	ADP
ijassa-1167	37	16	average	average	ADJ
ijassa-1167	37	17	losses	loss	NOUN
ijassa-1167	37	18	of	of	ADP
ijassa-1167	37	19	classification	classification	NOUN
ijassa-1167	37	20	errors	error	NOUN
ijassa-1167	37	21	in	in	ADP
ijassa-1167	37	22	a	a	DET
ijassa-1167	37	23	problem	problem	NOUN
ijassa-1167	37	24	with	with	ADP
ijassa-1167	37	25	two	two	NUM
ijassa-1167	37	26	classes	class	NOUN
ijassa-1167	37	27	:	:	PUNCT
ijassa-1167	37	28			NOUN
ijassa-1167	38	1			SYM
ijassa-1167	38	2			NOUN
ijassa-1167	38	3			SYM
ijassa-1167	38	4			NOUN
ijassa-1167	38	5			PUNCT
ijassa-1167	38	6			NOUN
ijassa-1167	38	7	12	12	PUNCT
ijassa-1167	38	8	1	1	NUM
ijassa-1167	38	9	2	2	NUM
ijassa-1167	38	10	1	1	NUM
ijassa-1167	38	11	2|	2|	NUM
ijassa-1167	38	12	,	,	PUNCT
ijassa-1167	38	13	,	,	PUNCT
ijassa-1167	38	14	,	,	PUNCT
ijassa-1167	38	15	–	–	PUNCT
ijassa-1167	38	16	k	k	X
ijassa-1167	38	17	x	x	X
ijassa-1167	38	18	k	k	NOUN
ijassa-1167	38	19	kf	kf	NOUN
ijassa-1167	38	20	x	x	X
ijassa-1167	39	1	c	c	NOUN
ijassa-1167	39	2	g	g	NOUN
ijassa-1167	39	3	x	x	SYM
ijassa-1167	39	4	c	c	NOUN
ijassa-1167	39	5	g	g	NOUN
ijassa-1167	39	6	x	x	X
ijassa-1167	39	7	c	c	NOUN
ijassa-1167	39	8	m	m	NOUN
ijassa-1167	39	9	c	c	NOUN
ijassa-1167	39	10	c	c	PROPN
ijassa-1167	39	11			PROPN
ijassa-1167	39	12			NUM
ijassa-1167	39	13	,	,	PUNCT
ijassa-1167	39	14	(	(	PUNCT
ijassa-1167	39	15	2.1	2.1	NUM
ijassa-1167	39	16	)	)	PUNCT
ijassa-1167	40	1	where	where	SCONJ
ijassa-1167	40	2			NOUN
ijassa-1167	40	3			SYM
ijassa-1167	40	4			PROPN
ijassa-1167	40	5			NOUN
ijassa-1167	40	6			PUNCT
ijassa-1167	40	7			NOUN
ijassa-1167	40	8			SYM
ijassa-1167	40	9			NOUN
ijassa-1167	40	10	1	1	VERB
ijassa-1167	40	11	12	12	NUM
ijassa-1167	40	12	2	2	NUM
ijassa-1167	40	13	21	21	NUM
ijassa-1167	40	14	,	,	PUNCT
ijassa-1167	40	15	1	1	NUM
ijassa-1167	40	16	1	1	NUM
ijassa-1167	40	17	,	,	PUNCT
ijassa-1167	40	18	,	,	PUNCT
ijassa-1167	40	19	1|	1|	PRON
ijassa-1167	40	20	|g	|g	VERB
ijassa-1167	40	21	x	x	X
ijassa-1167	40	22	c	c	NOUN
ijassa-1167	40	23	c	c	NOUN
ijassa-1167	41	1	p	p	NOUN
ijassa-1167	41	2	x	x	X
ijassa-1167	41	3	g	g	NOUN
ijassa-1167	41	4	x	x	X
ijassa-1167	41	5	c	c	NOUN
ijassa-1167	41	6	c	c	NOUN
ijassa-1167	42	1	p	p	PROPN
ijassa-1167	42	2	x	x	PROPN
ijassa-1167	42	3			PROPN
ijassa-1167	42	4			ADV
ijassa-1167	42	5	there	there	PRON
ijassa-1167	42	6	are	be	VERB
ijassa-1167	42	7	average	average	ADJ
ijassa-1167	42	8	losses	loss	NOUN
ijassa-1167	42	9	at	at	ADP
ijassa-1167	42	10	the	the	DET
ijassa-1167	42	11	point	point	NOUN
ijassa-1167	42	12	,	,	PUNCT
ijassa-1167	42	13	if	if	SCONJ
ijassa-1167	42	14	the	the	DET
ijassa-1167	42	15	point	point	NOUN
ijassa-1167	42	16	is	be	AUX
ijassa-1167	42	17	classified	classify	VERB
ijassa-1167	42	18	as	as	ADP
ijassa-1167	42	19	class	class	NOUN
ijassa-1167	42	20	1	1	NUM
ijassa-1167	42	21	or	or	CCONJ
ijassa-1167	42	22	,	,	PUNCT
ijassa-1167	42	23	respectively	respectively	ADV
ijassa-1167	42	24	,	,	PUNCT
ijassa-1167	42	25	class	class	NOUN
ijassa-1167	42	26	2	2	NUM
ijassa-1167	42	27	;	;	PUNCT
ijassa-1167	42	28	ijc	ijc	PROPN
ijassa-1167	42	29	is	be	AUX
ijassa-1167	42	30	the	the	DET
ijassa-1167	42	31	cost	cost	NOUN
ijassa-1167	42	32	of	of	ADP
ijassa-1167	42	33	the	the	DET
ijassa-1167	42	34	error	error	NOUN
ijassa-1167	42	35	when	when	SCONJ
ijassa-1167	42	36	a	a	DET
ijassa-1167	42	37	point	point	NOUN
ijassa-1167	42	38	from	from	ADP
ijassa-1167	42	39	a	a	DET
ijassa-1167	42	40	class	class	NOUN
ijassa-1167	42	41	j	j	PROPN
ijassa-1167	42	42	is	be	AUX
ijassa-1167	42	43	mistakenly	mistakenly	ADV
ijassa-1167	42	44	referred	refer	VERB
ijassa-1167	42	45	to	to	ADP
ijassa-1167	42	46	a	a	DET
ijassa-1167	42	47	class	class	NOUN
ijassa-1167	42	48	i.	i.	NOUN
ijassa-1167	42	49	0	0	NUM
ijassa-1167	42	50	,	,	PUNCT
ijassa-1167	42	51	#	#	NOUN
ijassa-1167	42	52	,	,	PUNCT
ijassa-1167	43	1	0ij	0ij	ADJ
ijassa-1167	43	2	iic	iic	PROPN
ijassa-1167	44	1	i	i	PRON
ijassa-1167	44	2	j	j	PROPN
ijassa-1167	45	1	c	c	ADV
ijassa-1167	45	2			PROPN
ijassa-1167	45	3	.	.	PUNCT
ijassa-1167	46	1	p(k|x	p(k|x	NOUN
ijassa-1167	46	2	)	)	PUNCT
ijassa-1167	46	3	is	be	AUX
ijassa-1167	46	4	the	the	DET
ijassa-1167	46	5	pop	pop	NOUN
ijassa-1167	46	6	of	of	ADP
ijassa-1167	46	7	the	the	DET
ijassa-1167	46	8	class	class	NOUN
ijassa-1167	46	9	k	k	PROPN
ijassa-1167	46	10	at	at	ADP
ijassa-1167	46	11	the	the	DET
ijassa-1167	46	12	point	point	NOUN
ijassa-1167	46	13	x	x	X
ijassa-1167	46	14	,	,	PUNCT
ijassa-1167	46	15			PROPN
ijassa-1167	46	16			SYM
ijassa-1167	46	17			NOUN
ijassa-1167	46	18	1	1	VERB
ijassa-1167	46	19	2	2	NUM
ijassa-1167	46	20	1|	1|	NUM
ijassa-1167	46	21	|p	|p	NOUN
ijassa-1167	46	22	x	x	X
ijassa-1167	46	23	p	p	X
ijassa-1167	46	24	x	x	PROPN
ijassa-1167	46	25			NUM
ijassa-1167	46	26	,	,	PUNCT
ijassa-1167	46	27			NOUN
ijassa-1167	46	28			SYM
ijassa-1167	46	29			NOUN
ijassa-1167	46	30			SYM
ijassa-1167	46	31			NOUN
ijassa-1167	46	32			PROPN
ijassa-1167	46	33	,	,	PUNCT
ijassa-1167	46	34	/|	/|	PROPN
ijassa-1167	46	35	|kp	|kp	NUM
ijassa-1167	46	36	k	k	NOUN
ijassa-1167	46	37	x	x	PUNCT
ijassa-1167	47	1	p	p	X
ijassa-1167	47	2	p	p	X
ijassa-1167	47	3	x	x	X
ijassa-1167	47	4	k	k	PROPN
ijassa-1167	47	5	p	p	X
ijassa-1167	47	6	x	x	PROPN
ijassa-1167	47	7			PROPN
ijassa-1167	47	8			SYM
ijassa-1167	47	9			NOUN
ijassa-1167	47	10	|	|	PUNCT
ijassa-1167	48	1	k	k	PROPN
ijassa-1167	48	2	kp	kp	PROPN
ijassa-1167	49	1	x	x	X
ijassa-1167	49	2	p	p	X
ijassa-1167	49	3	p	p	X
ijassa-1167	49	4	x	x	X
ijassa-1167	49	5	k	k	ADJ
ijassa-1167	49	6			X
ijassa-1167	49	7	,	,	PUNCT
ijassa-1167	49	8	pk	pk	NOUN
ijassa-1167	49	9	is	be	AUX
ijassa-1167	49	10	the	the	DET
ijassa-1167	49	11	prior	prior	ADJ
ijassa-1167	49	12	probabilities	probability	NOUN
ijassa-1167	49	13	of	of	ADP
ijassa-1167	49	14	classes	class	NOUN
ijassa-1167	49	15	,	,	PUNCT
ijassa-1167	49	16	p(x|k	p(x|k	NOUN
ijassa-1167	49	17	)	)	PUNCT
ijassa-1167	49	18	is	be	AUX
ijassa-1167	49	19	the	the	DET
ijassa-1167	49	20	conditional	conditional	ADJ
ijassa-1167	49	21	distributions	distribution	NOUN
ijassa-1167	49	22	of	of	ADP
ijassa-1167	49	23	class	class	NOUN
ijassa-1167	49	24	features	feature	NOUN
ijassa-1167	49	25	;	;	PUNCT
ijassa-1167	49	26	k	k	X
ijassa-1167	49	27	is	be	AUX
ijassa-1167	49	28	the	the	DET
ijassa-1167	49	29	class	class	NOUN
ijassa-1167	49	30	numbers	number	NOUN
ijassa-1167	49	31	1	1	NUM
ijassa-1167	49	32	or	or	CCONJ
ijassa-1167	49	33	2	2	NUM
ijassa-1167	49	34	;	;	PUNCT
ijassa-1167	49	35			PROPN
ijassa-1167	49	36	|k	|k	NOUN
ijassa-1167	50	1	xm	xm	PROPN
ijassa-1167	50	2			PROPN
ijassa-1167	50	3	is	be	AUX
ijassa-1167	50	4	the	the	DET
ijassa-1167	50	5	mathematical	mathematical	ADJ
ijassa-1167	50	6	expectation	expectation	NOUN
ijassa-1167	50	7	of	of	ADP
ijassa-1167	50	8	at	at	ADP
ijassa-1167	50	9	a	a	DET
ijassa-1167	50	10	point	point	NOUN
ijassa-1167	50	11	.	.	PUNCT
ijassa-1167	51	1	if	if	SCONJ
ijassa-1167	51	2			PROPN
ijassa-1167	51	3	12	12	PUNCT
ijassa-1167	51	4	,	,	PUNCT
ijassa-1167	51	5	0f	0f	NOUN
ijassa-1167	51	6	x	x	SYM
ijassa-1167	51	7	c	c	NOUN
ijassa-1167	51	8			NOUN
ijassa-1167	51	9	,	,	PUNCT
ijassa-1167	51	10	then	then	ADV
ijassa-1167	51	11	the	the	DET
ijassa-1167	51	12	point	point	NOUN
ijassa-1167	51	13	referred	refer	VERB
ijassa-1167	51	14	to	to	ADP
ijassa-1167	51	15	class	class	NOUN
ijassa-1167	51	16	1	1	NUM
ijassa-1167	51	17	,	,	PUNCT
ijassa-1167	51	18	otherwise	otherwise	ADV
ijassa-1167	51	19	to	to	ADP
ijassa-1167	51	20	class	class	NOUN
ijassa-1167	51	21	2	2	NUM
ijassa-1167	51	22	.	.	PUNCT
ijassa-1167	52	1	if	if	SCONJ
ijassa-1167	52	2			PROPN
ijassa-1167	52	3	12	12	PUNCT
ijassa-1167	52	4	,	,	PUNCT
ijassa-1167	52	5	0f	0f	NOUN
ijassa-1167	52	6	x	x	SYM
ijassa-1167	52	7	c	c	NOUN
ijassa-1167	52	8			NOUN
ijassa-1167	52	9	,	,	PUNCT
ijassa-1167	52	10	then	then	ADV
ijassa-1167	52	11	the	the	DET
ijassa-1167	52	12	point	point	NOUN
ijassa-1167	52	13	referred	refer	VERB
ijassa-1167	52	14	to	to	ADP
ijassa-1167	52	15	class	class	NOUN
ijassa-1167	52	16	1	1	NUM
ijassa-1167	52	17	,	,	PUNCT
ijassa-1167	52	18	otherwise	otherwise	ADV
ijassa-1167	52	19	to	to	ADP
ijassa-1167	52	20	class	class	NOUN
ijassa-1167	52	21	2	2	NUM
ijassa-1167	52	22	.	.	NOUN
ijassa-1167	53	1	3	3	NUM
ijassa-1167	53	2	.	.	X
ijassa-1167	53	3	adf	adf	NOUN
ijassa-1167	53	4	properties	property	NOUN
ijassa-1167	53	5	3.1	3.1	NUM
ijassa-1167	53	6	.	.	PUNCT
ijassa-1167	54	1	adf	adf	NOUN
ijassa-1167	54	2	is	be	AUX
ijassa-1167	54	3	by	by	ADP
ijassa-1167	54	4	definition	definition	NOUN
ijassa-1167	54	5	a	a	DET
ijassa-1167	54	6	regression	regression	NOUN
ijassa-1167	54	7	function	function	NOUN
ijassa-1167	54	8	.	.	PUNCT
ijassa-1167	55	1	to	to	PART
ijassa-1167	55	2	transform	transform	VERB
ijassa-1167	55	3	the	the	DET
ijassa-1167	55	4	training	training	NOUN
ijassa-1167	55	5	set	set	NOUN
ijassa-1167	55	6	of	of	ADP
ijassa-1167	55	7	the	the	DET
ijassa-1167	55	8	supervised	supervised	ADJ
ijassa-1167	55	9	classification	classification	NOUN
ijassa-1167	55	10	problem	problem	NOUN
ijassa-1167	55	11	into	into	ADP
ijassa-1167	55	12	a	a	DET
ijassa-1167	55	13	regression	regression	NOUN
ijassa-1167	55	14	analysis	analysis	NOUN
ijassa-1167	55	15	set	set	VERB
ijassa-1167	55	16	,	,	PUNCT
ijassa-1167	55	17	due	due	ADJ
ijassa-1167	55	18	(	(	PUNCT
ijassa-1167	55	19	2.1	2.1	NUM
ijassa-1167	55	20	)	)	PUNCT
ijassa-1167	55	21	,	,	PUNCT
ijassa-1167	55	22	on	on	ADP
ijassa-1167	55	23	the	the	DET
ijassa-1167	55	24	set	set	NOUN
ijassa-1167	55	25	,	,	PUNCT
ijassa-1167	55	26	the	the	DET
ijassa-1167	55	27	class	class	NOUN
ijassa-1167	55	28	number	number	NOUN
ijassa-1167	55	29	1	1	NUM
ijassa-1167	55	30	should	should	AUX
ijassa-1167	55	31	be	be	AUX
ijassa-1167	55	32	replaced	replace	VERB
ijassa-1167	55	33	by	by	ADP
ijassa-1167	55	34	-c21	-c21	NOUN
ijassa-1167	55	35	and	and	CCONJ
ijassa-1167	55	36	the	the	DET
ijassa-1167	55	37	class	class	NOUN
ijassa-1167	55	38	number	number	NOUN
ijassa-1167	55	39	2	2	NUM
ijassa-1167	55	40	by	by	ADP
ijassa-1167	55	41	c12	c12	PROPN
ijassa-1167	55	42	.	.	PUNCT
ijassa-1167	56	1	estimation	estimation	NOUN
ijassa-1167	56	2	of	of	ADP
ijassa-1167	56	3	the	the	DET
ijassa-1167	56	4	posterior	posterior	ADJ
ijassa-1167	56	5	probabilities	probability	NOUN
ijassa-1167	56	6	of	of	ADP
ijassa-1167	56	7	classes	class	NOUN
ijassa-1167	56	8	…	…	PUNCT
ijassa-1167	56	9	235	235	NUM
ijassa-1167	56	10	copyright	copyright	NOUN
ijassa-1167	56	11	©	©	PROPN
ijassa-1167	56	12	2022	2022	NUM
ijassa-1167	56	13	assa	assa	NOUN
ijassa-1167	56	14	.	.	PUNCT
ijassa-1167	57	1	adv	adv	PROPN
ijassa-1167	57	2	.	.	PUNCT
ijassa-1167	58	1	in	in	ADP
ijassa-1167	58	2	systems	system	NOUN
ijassa-1167	58	3	science	science	NOUN
ijassa-1167	58	4	and	and	CCONJ
ijassa-1167	58	5	appl	appl	NOUN
ijassa-1167	58	6	.	.	PUNCT
ijassa-1167	59	1	(	(	PUNCT
ijassa-1167	59	2	2022	2022	NUM
ijassa-1167	59	3	)	)	PUNCT
ijassa-1167	59	4	3.2	3.2	NUM
ijassa-1167	59	5	.	.	PUNCT
ijassa-1167	60	1	the	the	DET
ijassa-1167	60	2	first	first	ADJ
ijassa-1167	60	3	class	class	NOUN
ijassa-1167	60	4	pop	pop	NOUN
ijassa-1167	60	5	and	and	CCONJ
ijassa-1167	60	6	the	the	DET
ijassa-1167	60	7	adf	adf	NOUN
ijassa-1167	60	8	defined	define	VERB
ijassa-1167	60	9	for	for	ADP
ijassa-1167	60	10	given	give	VERB
ijassa-1167	60	11	c12	c12	PROPN
ijassa-1167	60	12	and	and	CCONJ
ijassa-1167	60	13	c21	c21	NOUN
ijassa-1167	60	14	are	be	AUX
ijassa-1167	60	15	identically	identically	ADV
ijassa-1167	60	16	related	relate	VERB
ijassa-1167	60	17			NOUN
ijassa-1167	60	18			SYM
ijassa-1167	60	19			NOUN
ijassa-1167	61	1			NOUN
ijassa-1167	62	1			PUNCT
ijassa-1167	63	1			NOUN
ijassa-1167	64	1	12	12	NUM
ijassa-1167	65	1	12	12	NUM
ijassa-1167	65	2	12	12	NUM
ijassa-1167	65	3	211	211	NUM
ijassa-1167	65	4	–	–	PUNCT
ijassa-1167	65	5	,	,	PUNCT
ijassa-1167	65	6	/|p	/|p	PUNCT
ijassa-1167	65	7	x	x	X
ijassa-1167	65	8	c	c	NOUN
ijassa-1167	65	9	f	f	NOUN
ijassa-1167	65	10	x	x	X
ijassa-1167	65	11	c	c	NOUN
ijassa-1167	65	12	c	c	PROPN
ijassa-1167	65	13	c	c	PROPN
ijassa-1167	65	14			PROPN
ijassa-1167	65	15	.	.	PUNCT
ijassa-1167	66	1	(	(	PUNCT
ijassa-1167	66	2	3.1	3.1	NUM
ijassa-1167	66	3	)	)	PUNCT
ijassa-1167	66	4	corollary	corollary	NOUN
ijassa-1167	66	5	3.1	3.1	NUM
ijassa-1167	66	6	:	:	PUNCT
ijassa-1167	66	7	if	if	SCONJ
ijassa-1167	66	8	we	we	PRON
ijassa-1167	66	9	set	set	VERB
ijassa-1167	66	10	the	the	DET
ijassa-1167	66	11	cost	cost	NOUN
ijassa-1167	66	12	of	of	ADP
ijassa-1167	66	13	errors	error	NOUN
ijassa-1167	66	14	under	under	ADP
ijassa-1167	66	15	the	the	DET
ijassa-1167	66	16	condition	condition	NOUN
ijassa-1167	66	17	12	12	NUM
ijassa-1167	66	18	21	21	NUM
ijassa-1167	66	19	1c	1c	NUM
ijassa-1167	66	20	c	c	NOUN
ijassa-1167	66	21			NUM
ijassa-1167	66	22	,	,	PUNCT
ijassa-1167	66	23	that	that	SCONJ
ijassa-1167	66	24	it	it	PRON
ijassa-1167	66	25	does	do	AUX
ijassa-1167	66	26	not	not	PART
ijassa-1167	66	27	lead	lead	VERB
ijassa-1167	66	28	to	to	ADP
ijassa-1167	66	29	a	a	DET
ijassa-1167	66	30	loss	loss	NOUN
ijassa-1167	66	31	of	of	ADP
ijassa-1167	66	32	generality	generality	NOUN
ijassa-1167	66	33	,	,	PUNCT
ijassa-1167	66	34	then	then	ADV
ijassa-1167	66	35	the	the	DET
ijassa-1167	66	36	equal	equal	ADJ
ijassa-1167	66	37	(	(	PUNCT
ijassa-1167	66	38	3.1	3.1	NUM
ijassa-1167	66	39	)	)	PUNCT
ijassa-1167	66	40	is	be	AUX
ijassa-1167	66	41	simplified	simplify	VERB
ijassa-1167	66	42			NOUN
ijassa-1167	66	43	121	121	VERB
ijassa-1167	66	44	*	*	PUNCT
ijassa-1167	66	45	,	,	PUNCT
ijassa-1167	66	46	*	*	PUNCT
ijassa-1167	66	47	(	(	PUNCT
ijassa-1167	66	48	|	|	ADV
ijassa-1167	66	49	)	)	PUNCT
ijassa-1167	66	50	p	p	NOUN
ijassa-1167	67	1	x	x	X
ijassa-1167	67	2	p	p	X
ijassa-1167	67	3	f	f	X
ijassa-1167	67	4	x	x	X
ijassa-1167	67	5	p	p	PROPN
ijassa-1167	67	6			NOUN
ijassa-1167	67	7	(	(	PUNCT
ijassa-1167	67	8	3.2	3.2	NUM
ijassa-1167	67	9	)	)	PUNCT
ijassa-1167	67	10	and	and	CCONJ
ijassa-1167	67	11	on	on	ADP
ijassa-1167	67	12	the	the	DET
ijassa-1167	67	13	boundary	boundary	NOUN
ijassa-1167	67	14	between	between	ADP
ijassa-1167	67	15	the	the	DET
ijassa-1167	67	16	classes	class	NOUN
ijassa-1167	67	17	,	,	PUNCT
ijassa-1167	67	18	where	where	SCONJ
ijassa-1167	67	19			NOUN
ijassa-1167	67	20			SYM
ijassa-1167	67	21			NOUN
ijassa-1167	67	22	12	12	NUM
ijassa-1167	67	23	12	12	NUM
ijassa-1167	67	24	,	,	PUNCT
ijassa-1167	67	25	*	*	PUNCT
ijassa-1167	68	1	|	|	ADV
ijassa-1167	68	2	0	0	NUM
ijassa-1167	68	3	,	,	PUNCT
ijassa-1167	68	4	*	*	PUNCT
ijassa-1167	68	5	1f	1f	NUM
ijassa-1167	68	6	x	x	X
ijassa-1167	69	1	p	p	X
ijassa-1167	69	2	p	p	X
ijassa-1167	69	3	p	p	X
ijassa-1167	69	4	x	x	X
ijassa-1167	69	5	с	с	PROPN
ijassa-1167	69	6			NUM
ijassa-1167	69	7			NOUN
ijassa-1167	69	8	and	and	CCONJ
ijassa-1167	69	9	211	211	NUM
ijassa-1167	70	1	*	*	PUNCT
ijassa-1167	70	2	p	p	NOUN
ijassa-1167	70	3	c	c	NOUN
ijassa-1167	70	4			PROPN
ijassa-1167	70	5	.	.	PUNCT
ijassa-1167	71	1	the	the	DET
ijassa-1167	71	2	pop	pop	NOUN
ijassa-1167	71	3	of	of	ADP
ijassa-1167	71	4	the	the	DET
ijassa-1167	71	5	first	first	ADJ
ijassa-1167	71	6	class	class	NOUN
ijassa-1167	71	7	on	on	ADP
ijassa-1167	71	8	the	the	DET
ijassa-1167	71	9	class	class	NOUN
ijassa-1167	71	10	boundary	boundary	NOUN
ijassa-1167	71	11	is	be	AUX
ijassa-1167	71	12	p	p	PRON
ijassa-1167	71	13	*	*	PROPN
ijassa-1167	71	14	.	.	PUNCT
ijassa-1167	72	1	corollary	corollary	ADJ
ijassa-1167	72	2	3.2	3.2	NUM
ijassa-1167	72	3	:	:	PUNCT
ijassa-1167	72	4	the	the	DET
ijassa-1167	72	5	pop	pop	NOUN
ijassa-1167	72	6	of	of	ADP
ijassa-1167	72	7	the	the	DET
ijassa-1167	72	8	classes	class	NOUN
ijassa-1167	72	9	at	at	ADP
ijassa-1167	72	10	the	the	DET
ijassa-1167	72	11	point	point	NOUN
ijassa-1167	72	12	x	x	PRON
ijassa-1167	72	13	are	be	AUX
ijassa-1167	72	14	not	not	PART
ijassa-1167	72	15	addicts	addict	NOUN
ijassa-1167	72	16	on	on	ADP
ijassa-1167	72	17	for	for	ADP
ijassa-1167	72	18	which	which	PRON
ijassa-1167	72	19	*	*	PUNCT
ijassa-1167	72	20	0p	0p	X
ijassa-1167	72	21			X
ijassa-1167	72	22	,	,	PUNCT
ijassa-1167	72	23	or	or	CCONJ
ijassa-1167	72	24	c12	c12	PROPN
ijassa-1167	72	25	and	and	CCONJ
ijassa-1167	72	26	c21	c21	NOUN
ijassa-1167	72	27	,	,	PUNCT
ijassa-1167	72	28	the	the	DET
ijassa-1167	72	29	adf	adf	PROPN
ijassa-1167	72	30	is	be	AUX
ijassa-1167	72	31	defined	define	VERB
ijassa-1167	72	32	.	.	PUNCT
ijassa-1167	73	1	for	for	ADP
ijassa-1167	73	2	the	the	DET
ijassa-1167	73	3	formal	formal	ADJ
ijassa-1167	73	4	proof	proof	NOUN
ijassa-1167	73	5	,	,	PUNCT
ijassa-1167	73	6	it	it	PRON
ijassa-1167	73	7	suffices	suffice	VERB
ijassa-1167	73	8	to	to	PART
ijassa-1167	73	9	substitute	substitute	NOUN
ijassa-1167	73	10	expression	expression	NOUN
ijassa-1167	73	11	(	(	PUNCT
ijassa-1167	73	12	2.1	2.1	NUM
ijassa-1167	73	13	)	)	PUNCT
ijassa-1167	73	14	for	for	ADP
ijassa-1167	73	15	adf	adf	PROPN
ijassa-1167	73	16	in	in	ADP
ijassa-1167	73	17	(	(	PUNCT
ijassa-1167	73	18	3.1	3.1	NUM
ijassa-1167	73	19	)	)	PUNCT
ijassa-1167	73	20	or	or	CCONJ
ijassa-1167	73	21	(	(	PUNCT
ijassa-1167	73	22	3.2	3.2	NUM
ijassa-1167	73	23	)	)	PUNCT
ijassa-1167	73	24	.	.	PUNCT
ijassa-1167	74	1	corollary	corollary	ADJ
ijassa-1167	74	2	3.3	3.3	NUM
ijassa-1167	74	3	:	:	PUNCT
ijassa-1167	74	4	when	when	SCONJ
ijassa-1167	74	5	choosing	choose	VERB
ijassa-1167	74	6	the	the	DET
ijassa-1167	74	7	error	error	NOUN
ijassa-1167	74	8	costs	cost	VERB
ijassa-1167	74	9	c	c	NOUN
ijassa-1167	74	10	for	for	ADP
ijassa-1167	74	11	classifying	classify	VERB
ijassa-1167	74	12	a	a	DET
ijassa-1167	74	13	point	point	NOUN
ijassa-1167	74	14	by	by	ADP
ijassa-1167	74	15	the	the	DET
ijassa-1167	74	16	pop	pop	NOUN
ijassa-1167	74	17	of	of	ADP
ijassa-1167	74	18	the	the	DET
ijassa-1167	74	19	classes	class	NOUN
ijassa-1167	74	20	obtained	obtain	VERB
ijassa-1167	74	21	at	at	ADP
ijassa-1167	74	22	the	the	DET
ijassa-1167	74	23	first	first	ADJ
ijassa-1167	74	24	stage	stage	NOUN
ijassa-1167	74	25	of	of	ADP
ijassa-1167	74	26	solving	solve	VERB
ijassa-1167	74	27	the	the	DET
ijassa-1167	74	28	classification	classification	NOUN
ijassa-1167	74	29	problem	problem	NOUN
ijassa-1167	74	30	,	,	PUNCT
ijassa-1167	74	31	at	at	ADP
ijassa-1167	74	32	the	the	DET
ijassa-1167	74	33	second	second	ADJ
ijassa-1167	74	34	stage	stage	NOUN
ijassa-1167	74	35	there	there	PRON
ijassa-1167	74	36	will	will	AUX
ijassa-1167	74	37	be	be	AUX
ijassa-1167	74	38	indistinguishability	indistinguishability	NOUN
ijassa-1167	74	39	of	of	ADP
ijassa-1167	74	40	classes	class	NOUN
ijassa-1167	74	41	in	in	ADP
ijassa-1167	74	42	the	the	DET
ijassa-1167	74	43	feature	feature	NOUN
ijassa-1167	74	44	space	space	NOUN
ijassa-1167	74	45	if	if	SCONJ
ijassa-1167	74	46			PROPN
ijassa-1167	74	47			PROPN
ijassa-1167	75	1			PUNCT
ijassa-1167	75	2			NOUN
ijassa-1167	75	3	12	12	NUM
ijassa-1167	75	4	12	12	NUM
ijassa-1167	75	5	,	,	PUNCT
ijassa-1167	75	6	0	0	NUM
ijassa-1167	75	7	v	v	NOUN
ijassa-1167	75	8	)	)	PUNCT
ijassa-1167	75	9	(	(	PUNCT
ijassa-1167	75	10	,	,	PUNCT
ijassa-1167	75	11	0x	0x	X
ijassa-1167	75	12	xmin	xmin	NOUN
ijassa-1167	76	1	f	f	PROPN
ijassa-1167	76	2	x	x	X
ijassa-1167	76	3	c	c	PROPN
ijassa-1167	76	4	max	max	PROPN
ijassa-1167	76	5	f	f	PROPN
ijassa-1167	76	6	x	x	PROPN
ijassa-1167	76	7	c	c	PROPN
ijassa-1167	76	8			PROPN
ijassa-1167	76	9	.	.	PUNCT
ijassa-1167	77	1	(	(	PUNCT
ijassa-1167	77	2	3.3	3.3	NUM
ijassa-1167	77	3	)	)	PUNCT
ijassa-1167	77	4	in	in	ADP
ijassa-1167	77	5	this	this	DET
ijassa-1167	77	6	case	case	NOUN
ijassa-1167	77	7	,	,	PUNCT
ijassa-1167	77	8	all	all	DET
ijassa-1167	77	9	points	point	NOUN
ijassa-1167	77	10	will	will	AUX
ijassa-1167	77	11	need	need	VERB
ijassa-1167	77	12	to	to	PART
ijassa-1167	77	13	be	be	AUX
ijassa-1167	77	14	assigned	assign	VERB
ijassa-1167	77	15	to	to	ADP
ijassa-1167	77	16	the	the	DET
ijassa-1167	77	17	same	same	ADJ
ijassa-1167	77	18	class	class	NOUN
ijassa-1167	77	19	.	.	PUNCT
ijassa-1167	78	1	4	4	X
ijassa-1167	78	2	.	.	X
ijassa-1167	78	3	adf	adf	NOUN
ijassa-1167	78	4	approximation	approximation	NOUN
ijassa-1167	78	5	methods	method	NOUN
ijassa-1167	78	6	the	the	DET
ijassa-1167	78	7	adf	adf	PROPN
ijassa-1167	78	8	can	can	AUX
ijassa-1167	78	9	be	be	AUX
ijassa-1167	78	10	approximated	approximate	VERB
ijassa-1167	78	11	in	in	ADP
ijassa-1167	78	12	at	at	ADV
ijassa-1167	78	13	least	least	ADV
ijassa-1167	78	14	three	three	NUM
ijassa-1167	78	15	ways	way	NOUN
ijassa-1167	78	16	:	:	PUNCT
ijassa-1167	78	17	–	–	PUNCT
ijassa-1167	78	18	to	to	PART
ijassa-1167	78	19	approximate	approximate	VERB
ijassa-1167	78	20	the	the	DET
ijassa-1167	78	21	adf	adf	NOUN
ijassa-1167	78	22	at	at	ADP
ijassa-1167	78	23	a	a	DET
ijassa-1167	78	24	point	point	NOUN
ijassa-1167	78	25	in	in	ADP
ijassa-1167	78	26	the	the	DET
ijassa-1167	78	27	class	class	NOUN
ijassa-1167	78	28	feature	feature	NOUN
ijassa-1167	78	29	space	space	NOUN
ijassa-1167	78	30	to	to	PART
ijassa-1167	78	31	obtain	obtain	VERB
ijassa-1167	78	32	estimates	estimate	NOUN
ijassa-1167	78	33	of	of	ADP
ijassa-1167	78	34	the	the	DET
ijassa-1167	78	35	pop	pop	NOUN
ijassa-1167	78	36	of	of	ADP
ijassa-1167	78	37	the	the	DET
ijassa-1167	78	38	classes	class	NOUN
ijassa-1167	78	39	at	at	ADP
ijassa-1167	78	40	this	this	DET
ijassa-1167	78	41	point	point	NOUN
ijassa-1167	78	42	according	accord	VERB
ijassa-1167	78	43	to	to	ADP
ijassa-1167	78	44	(	(	PUNCT
ijassa-1167	78	45	3.1	3.1	NUM
ijassa-1167	78	46	)	)	PUNCT
ijassa-1167	78	47	or	or	CCONJ
ijassa-1167	78	48	(	(	PUNCT
ijassa-1167	78	49	3.2	3.2	NUM
ijassa-1167	78	50	)	)	PUNCT
ijassa-1167	78	51	.	.	PUNCT
ijassa-1167	79	1	this	this	PRON
ijassa-1167	79	2	is	be	AUX
ijassa-1167	79	3	a	a	DET
ijassa-1167	79	4	nonparametric	nonparametric	ADJ
ijassa-1167	79	5	model	model	NOUN
ijassa-1167	79	6	for	for	ADP
ijassa-1167	79	7	solving	solve	VERB
ijassa-1167	79	8	a	a	DET
ijassa-1167	79	9	problem	problem	NOUN
ijassa-1167	79	10	.	.	PUNCT
ijassa-1167	80	1	–	–	PUNCT
ijassa-1167	80	2	to	to	PART
ijassa-1167	80	3	approximate	approximate	VERB
ijassa-1167	80	4	the	the	DET
ijassa-1167	80	5	adf	adf	NOUN
ijassa-1167	80	6	in	in	ADP
ijassa-1167	80	7	the	the	DET
ijassa-1167	80	8	entire	entire	ADJ
ijassa-1167	80	9	area	area	NOUN
ijassa-1167	80	10	of	of	ADP
ijassa-1167	80	11	the	the	DET
ijassa-1167	80	12	training	training	NOUN
ijassa-1167	80	13	set	set	NOUN
ijassa-1167	80	14	,	,	PUNCT
ijassa-1167	80	15	having	having	AUX
ijassa-1167	80	16	specified	specify	VERB
ijassa-1167	80	17	the	the	DET
ijassa-1167	80	18	type	type	NOUN
ijassa-1167	80	19	of	of	ADP
ijassa-1167	80	20	the	the	DET
ijassa-1167	80	21	approximating	approximate	VERB
ijassa-1167	80	22	function	function	NOUN
ijassa-1167	80	23	and	and	CCONJ
ijassa-1167	80	24	choosing	choose	VERB
ijassa-1167	80	25	the	the	DET
ijassa-1167	80	26	approximation	approximation	NOUN
ijassa-1167	80	27	method	method	NOUN
ijassa-1167	80	28	.	.	PUNCT
ijassa-1167	81	1	for	for	ADP
ijassa-1167	81	2	this	this	DET
ijassa-1167	81	3	parametric	parametric	ADJ
ijassa-1167	81	4	model	model	NOUN
ijassa-1167	81	5	,	,	PUNCT
ijassa-1167	81	6	a	a	DET
ijassa-1167	81	7	method	method	NOUN
ijassa-1167	81	8	is	be	AUX
ijassa-1167	81	9	proposed	propose	VERB
ijassa-1167	81	10	for	for	ADP
ijassa-1167	81	11	approximating	approximate	VERB
ijassa-1167	81	12	the	the	DET
ijassa-1167	81	13	adf	adf	NOUN
ijassa-1167	81	14	in	in	ADP
ijassa-1167	81	15	the	the	DET
ijassa-1167	81	16	initially	initially	ADV
ijassa-1167	81	17	unknown	unknown	ADJ
ijassa-1167	81	18	neighborhood	neighborhood	NOUN
ijassa-1167	81	19	of	of	ADP
ijassa-1167	81	20	its	its	PRON
ijassa-1167	81	21	zero	zero	NUM
ijassa-1167	81	22	values	value	NOUN
ijassa-1167	81	23	,	,	PUNCT
ijassa-1167	81	24	to	to	PART
ijassa-1167	81	25	solve	solve	VERB
ijassa-1167	81	26	more	more	ADV
ijassa-1167	81	27	accurately	accurately	ADV
ijassa-1167	81	28	the	the	DET
ijassa-1167	81	29	classification	classification	NOUN
ijassa-1167	81	30	problem	problem	NOUN
ijassa-1167	81	31	for	for	ADP
ijassa-1167	81	32	the	the	DET
ijassa-1167	81	33	selected	select	VERB
ijassa-1167	81	34	type	type	NOUN
ijassa-1167	81	35	of	of	ADP
ijassa-1167	81	36	approximating	approximate	VERB
ijassa-1167	81	37	dependence	dependence	NOUN
ijassa-1167	81	38	and	and	CCONJ
ijassa-1167	81	39	the	the	DET
ijassa-1167	81	40	given	give	VERB
ijassa-1167	81	41	costs	cost	NOUN
ijassa-1167	81	42	of	of	ADP
ijassa-1167	81	43	classification	classification	NOUN
ijassa-1167	81	44	errors	error	NOUN
ijassa-1167	81	45	and	and	CCONJ
ijassa-1167	81	46	not	not	PART
ijassa-1167	81	47	pursue	pursue	VERB
ijassa-1167	81	48	the	the	DET
ijassa-1167	81	49	goal	goal	NOUN
ijassa-1167	81	50	of	of	ADP
ijassa-1167	81	51	evaluating	evaluate	VERB
ijassa-1167	81	52	the	the	DET
ijassa-1167	81	53	pop	pop	NOUN
ijassa-1167	81	54	of	of	ADP
ijassa-1167	81	55	the	the	DET
ijassa-1167	81	56	classes	class	NOUN
ijassa-1167	81	57	.	.	PUNCT
ijassa-1167	82	1	–	–	PUNCT
ijassa-1167	82	2	to	to	PART
ijassa-1167	82	3	approximate	approximate	VERB
ijassa-1167	82	4	several	several	ADJ
ijassa-1167	82	5	adf	adf	NOUN
ijassa-1167	82	6	for	for	ADP
ijassa-1167	82	7	the	the	DET
ijassa-1167	82	8	given	give	VERB
ijassa-1167	82	9	pop	pop	NOUN
ijassa-1167	82	10	values	value	NOUN
ijassa-1167	82	11	of	of	ADP
ijassa-1167	82	12	the	the	DET
ijassa-1167	82	13	first	first	ADJ
ijassa-1167	82	14	class	class	NOUN
ijassa-1167	82	15	at	at	ADP
ijassa-1167	82	16	the	the	DET
ijassa-1167	82	17	boundary	boundary	NOUN
ijassa-1167	82	18	between	between	ADP
ijassa-1167	82	19	the	the	DET
ijassa-1167	82	20	classes	class	NOUN
ijassa-1167	82	21	,	,	PUNCT
ijassa-1167	82	22	for	for	ADP
ijassa-1167	82	23	example	example	NOUN
ijassa-1167	82	24	,	,	PUNCT
ijassa-1167	82	25	0.1	0.1	NUM
ijassa-1167	82	26	,	,	PUNCT
ijassa-1167	82	27	0.3	0.3	NUM
ijassa-1167	82	28	,	,	PUNCT
ijassa-1167	82	29	…	…	PUNCT
ijassa-1167	82	30	,	,	PUNCT
ijassa-1167	82	31	0.9	0.9	NUM
ijassa-1167	82	32	and	and	CCONJ
ijassa-1167	82	33	for	for	ADP
ijassa-1167	82	34	a	a	DET
ijassa-1167	82	35	given	give	VERB
ijassa-1167	82	36	type	type	NOUN
ijassa-1167	82	37	of	of	ADP
ijassa-1167	82	38	approximating	approximate	VERB
ijassa-1167	82	39	dependence	dependence	NOUN
ijassa-1167	82	40	.	.	PUNCT
ijassa-1167	83	1	this	this	PRON
ijassa-1167	83	2	is	be	AUX
ijassa-1167	83	3	a	a	DET
ijassa-1167	83	4	variant	variant	NOUN
ijassa-1167	83	5	of	of	ADP
ijassa-1167	83	6	a	a	DET
ijassa-1167	83	7	series	series	NOUN
ijassa-1167	83	8	of	of	ADP
ijassa-1167	83	9	adf	adf	PROPN
ijassa-1167	83	10	approximations	approximation	NOUN
ijassa-1167	83	11	.	.	PUNCT
ijassa-1167	84	1	for	for	ADP
ijassa-1167	84	2	a	a	DET
ijassa-1167	84	3	given	give	VERB
ijassa-1167	84	4	point	point	NOUN
ijassa-1167	84	5	,	,	PUNCT
ijassa-1167	84	6	the	the	DET
ijassa-1167	84	7	pop	pop	NOUN
ijassa-1167	84	8	of	of	ADP
ijassa-1167	84	9	the	the	DET
ijassa-1167	84	10	classes	class	NOUN
ijassa-1167	84	11	is	be	AUX
ijassa-1167	84	12	found	find	VERB
ijassa-1167	84	13	by	by	ADP
ijassa-1167	84	14	the	the	DET
ijassa-1167	84	15	method	method	NOUN
ijassa-1167	84	16	of	of	ADP
ijassa-1167	84	17	interor	interor	NOUN
ijassa-1167	84	18	extrapolation	extrapolation	NOUN
ijassa-1167	84	19	over	over	ADP
ijassa-1167	84	20	neighboring	neighboring	NOUN
ijassa-1167	84	21	approximations	approximation	NOUN
ijassa-1167	84	22	of	of	ADP
ijassa-1167	84	23	the	the	DET
ijassa-1167	84	24	adf	adf	NOUN
ijassa-1167	84	25	,	,	PUNCT
ijassa-1167	84	26	between	between	ADP
ijassa-1167	84	27	which	which	PRON
ijassa-1167	84	28	the	the	DET
ijassa-1167	84	29	point	point	NOUN
ijassa-1167	84	30	is	be	AUX
ijassa-1167	84	31	located	locate	VERB
ijassa-1167	84	32	.	.	PUNCT
ijassa-1167	85	1	the	the	DET
ijassa-1167	85	2	nonparametric	nonparametric	NOUN
ijassa-1167	85	3	model	model	NOUN
ijassa-1167	85	4	is	be	AUX
ijassa-1167	85	5	slower	slow	ADJ
ijassa-1167	85	6	it	it	PRON
ijassa-1167	85	7	uses	use	VERB
ijassa-1167	85	8	the	the	DET
ijassa-1167	85	9	entire	entire	ADJ
ijassa-1167	85	10	training	training	NOUN
ijassa-1167	85	11	set	set	VERB
ijassa-1167	85	12	in	in	ADP
ijassa-1167	85	13	the	the	DET
ijassa-1167	85	14	test	test	NOUN
ijassa-1167	85	15	stage	stage	NOUN
ijassa-1167	85	16	.	.	PUNCT
ijassa-1167	86	1	parametric	parametric	ADJ
ijassa-1167	86	2	ones	one	NOUN
ijassa-1167	86	3	work	work	VERB
ijassa-1167	86	4	faster	fast	ADV
ijassa-1167	86	5	,	,	PUNCT
ijassa-1167	86	6	but	but	CCONJ
ijassa-1167	86	7	they	they	PRON
ijassa-1167	86	8	require	require	VERB
ijassa-1167	86	9	the	the	DET
ijassa-1167	86	10	choice	choice	NOUN
ijassa-1167	86	11	of	of	ADP
ijassa-1167	86	12	the	the	DET
ijassa-1167	86	13	type	type	NOUN
ijassa-1167	86	14	of	of	ADP
ijassa-1167	86	15	the	the	DET
ijassa-1167	86	16	approximating	approximate	VERB
ijassa-1167	86	17	function	function	NOUN
ijassa-1167	86	18	for	for	ADP
ijassa-1167	86	19	adf	adf	PROPN
ijassa-1167	86	20	in	in	ADP
ijassa-1167	86	21	the	the	DET
ijassa-1167	86	22	training	training	NOUN
ijassa-1167	86	23	stage	stage	NOUN
ijassa-1167	86	24	.	.	PUNCT
ijassa-1167	87	1	4.1	4.1	NUM
ijassa-1167	87	2	.	.	PUNCT
ijassa-1167	88	1	adf	adf	NOUN
ijassa-1167	88	2	approximation	approximation	NOUN
ijassa-1167	88	3	at	at	ADP
ijassa-1167	88	4	point	point	NOUN
ijassa-1167	88	5	this	this	DET
ijassa-1167	88	6	version	version	NOUN
ijassa-1167	88	7	builds	build	VERB
ijassa-1167	88	8	a	a	DET
ijassa-1167	88	9	nonparametric	nonparametric	ADJ
ijassa-1167	88	10	model	model	NOUN
ijassa-1167	88	11	.	.	PUNCT
ijassa-1167	89	1	its	its	PRON
ijassa-1167	89	2	distinctive	distinctive	ADJ
ijassa-1167	89	3	feature	feature	NOUN
ijassa-1167	89	4	is	be	AUX
ijassa-1167	89	5	the	the	DET
ijassa-1167	89	6	need	need	NOUN
ijassa-1167	89	7	to	to	PART
ijassa-1167	89	8	use	use	VERB
ijassa-1167	89	9	all	all	PRON
ijassa-1167	89	10	or	or	CCONJ
ijassa-1167	89	11	part	part	NOUN
ijassa-1167	89	12	of	of	ADP
ijassa-1167	89	13	the	the	DET
ijassa-1167	89	14	supervised	supervised	ADJ
ijassa-1167	89	15	training	training	NOUN
ijassa-1167	89	16	sеt	sеt	NOUN
ijassa-1167	89	17	to	to	PART
ijassa-1167	89	18	estimate	estimate	VERB
ijassa-1167	89	19	the	the	DET
ijassa-1167	89	20	pop	pop	NOUN
ijassa-1167	89	21	of	of	ADP
ijassa-1167	89	22	the	the	DET
ijassa-1167	89	23	classes	class	NOUN
ijassa-1167	89	24	at	at	ADP
ijassa-1167	89	25	each	each	DET
ijassa-1167	89	26	given	give	VERB
ijassa-1167	89	27	point	point	NOUN
ijassa-1167	89	28	.	.	PUNCT
ijassa-1167	90	1	in	in	ADP
ijassa-1167	90	2	[	[	X
ijassa-1167	90	3	4	4	NUM
ijassa-1167	90	4	]	]	PUNCT
ijassa-1167	90	5	,	,	PUNCT
ijassa-1167	90	6	to	to	PART
ijassa-1167	90	7	estimate	estimate	VERB
ijassa-1167	90	8	the	the	DET
ijassa-1167	90	9	adf	adf	NOUN
ijassa-1167	90	10	at	at	ADP
ijassa-1167	90	11	a	a	DET
ijassa-1167	90	12	point	point	NOUN
ijassa-1167	90	13	,	,	PUNCT
ijassa-1167	90	14	we	we	PRON
ijassa-1167	90	15	select	select	VERB
ijassa-1167	90	16	such	such	ADJ
ijassa-1167	90	17	costs	cost	NOUN
ijassa-1167	90	18	of	of	ADP
ijassa-1167	90	19	classification	classification	NOUN
ijassa-1167	90	20	errors	error	NOUN
ijassa-1167	90	21	for	for	ADP
ijassa-1167	90	22	which	which	PRON
ijassa-1167	90	23	the	the	DET
ijassa-1167	90	24	adf	adf	PROPN
ijassa-1167	90	25	approximation	approximation	NOUN
ijassa-1167	90	26	at	at	ADP
ijassa-1167	90	27	a	a	DET
ijassa-1167	90	28	given	give	VERB
ijassa-1167	90	29	point	point	NOUN
ijassa-1167	90	30	takes	take	VERB
ijassa-1167	90	31	zero	zero	NUM
ijassa-1167	90	32	value	value	NOUN
ijassa-1167	90	33	.	.	PUNCT
ijassa-1167	91	1	but	but	CCONJ
ijassa-1167	91	2	more	more	ADV
ijassa-1167	91	3	preferable	preferable	ADJ
ijassa-1167	91	4	,	,	PUNCT
ijassa-1167	91	5	in	in	ADP
ijassa-1167	91	6	our	our	PRON
ijassa-1167	91	7	opinion	opinion	NOUN
ijassa-1167	91	8	,	,	PUNCT
ijassa-1167	91	9	236	236	NUM
ijassa-1167	91	10	v.	v.	ADP
ijassa-1167	91	11	zenkov	zenkov	PROPN
ijassa-1167	91	12	copyright	copyright	PROPN
ijassa-1167	92	1	©	©	PROPN
ijassa-1167	92	2	2022	2022	NUM
ijassa-1167	92	3	assa	assa	PROPN
ijassa-1167	92	4	adv	adv	PROPN
ijassa-1167	92	5	.	.	PUNCT
ijassa-1167	93	1	in	in	ADP
ijassa-1167	93	2	systems	system	NOUN
ijassa-1167	93	3	science	science	NOUN
ijassa-1167	93	4	and	and	CCONJ
ijassa-1167	93	5	appl	appl	NOUN
ijassa-1167	93	6	.	.	PUNCT
ijassa-1167	94	1	(	(	PUNCT
ijassa-1167	94	2	2022	2022	NUM
ijassa-1167	94	3	)	)	PUNCT
ijassa-1167	94	4	is	be	AUX
ijassa-1167	94	5	the	the	DET
ijassa-1167	94	6	adf	adf	NOUN
ijassa-1167	94	7	approximation	approximation	NOUN
ijassa-1167	94	8	by	by	ADP
ijassa-1167	94	9	a	a	DET
ijassa-1167	94	10	plane	plane	NOUN
ijassa-1167	94	11	(	(	PUNCT
ijassa-1167	94	12	at	at	ADP
ijassa-1167	94	13	least	least	ADJ
ijassa-1167	94	14	by	by	ADP
ijassa-1167	94	15	a	a	DET
ijassa-1167	94	16	second	second	ADJ
ijassa-1167	94	17	-	-	PUNCT
ijassa-1167	94	18	order	order	NOUN
ijassa-1167	94	19	polynomial	polynomial	NOUN
ijassa-1167	94	20	)	)	PUNCT
ijassa-1167	94	21	in	in	ADP
ijassa-1167	94	22	the	the	DET
ijassa-1167	94	23	vicinity	vicinity	NOUN
ijassa-1167	94	24	of	of	ADP
ijassa-1167	94	25	a	a	DET
ijassa-1167	94	26	given	give	VERB
ijassa-1167	94	27	point	point	NOUN
ijassa-1167	94	28	.	.	PUNCT
ijassa-1167	95	1	the	the	DET
ijassa-1167	95	2	criterion	criterion	NOUN
ijassa-1167	95	3	for	for	ADP
ijassa-1167	95	4	approximating	approximate	VERB
ijassa-1167	95	5	the	the	DET
ijassa-1167	95	6	adf	adf	NOUN
ijassa-1167	95	7	at	at	ADP
ijassa-1167	95	8	a	a	DET
ijassa-1167	95	9	given	give	VERB
ijassa-1167	95	10	set	set	NOUN
ijassa-1167	95	11	point	point	NOUN
ijassa-1167	95	12	xj	xj	PROPN
ijassa-1167	95	13	is	be	AUX
ijassa-1167	95	14	the	the	DET
ijassa-1167	95	15	weighted	weight	VERB
ijassa-1167	95	16	root	root	NOUN
ijassa-1167	95	17	mean	mean	NOUN
ijassa-1167	95	18	square	square	NOUN
ijassa-1167	95	19	error	error	NOUN
ijassa-1167	95	20	.	.	PUNCT
ijassa-1167	96	1	at	at	ADP
ijassa-1167	96	2	the	the	DET
ijassa-1167	96	3	training	training	NOUN
ijassa-1167	96	4	stage	stage	NOUN
ijassa-1167	96	5	,	,	PUNCT
ijassa-1167	96	6	for	for	ADP
ijassa-1167	96	7	each	each	DET
ijassa-1167	96	8	set	set	NOUN
ijassa-1167	96	9	point	point	NOUN
ijassa-1167	96	10	xj	xj	PROPN
ijassa-1167	96	11	used	use	VERB
ijassa-1167	96	12	as	as	ADP
ijassa-1167	96	13	a	a	DET
ijassa-1167	96	14	test	test	NOUN
ijassa-1167	96	15	one	one	NUM
ijassa-1167	96	16	,	,	PUNCT
ijassa-1167	96	17	there	there	PRON
ijassa-1167	96	18	is	be	VERB
ijassa-1167	96	19	a	a	DET
ijassa-1167	96	20	vector	vector	NOUN
ijassa-1167	96	21	of	of	ADP
ijassa-1167	96	22	coefficients	coefficient	NOUN
ijassa-1167	96	23	λj	λj	VERB
ijassa-1167	96	24	approximating	approximate	VERB
ijassa-1167	96	25	the	the	DET
ijassa-1167	96	26	adf	adf	NOUN
ijassa-1167	96	27	in	in	ADP
ijassa-1167	96	28	the	the	DET
ijassa-1167	96	29	form	form	NOUN
ijassa-1167	96	30	(	(	PUNCT
ijassa-1167	96	31	1	1	NUM
ijassa-1167	96	32	,	,	PUNCT
ijassa-1167	96	33	xj	xj	NOUN
ijassa-1167	96	34	)	)	PUNCT
ijassa-1167	96	35	λj	λj	VERB
ijassa-1167	96	36	for	for	ADP
ijassa-1167	96	37	given	give	VERB
ijassa-1167	96	38	values	value	NOUN
ijassa-1167	96	39	of	of	ADP
ijassa-1167	96	40	the	the	DET
ijassa-1167	96	41	parameters	parameter	NOUN
ijassa-1167	96	42	w	w	PROPN
ijassa-1167	96	43	and	and	CCONJ
ijassa-1167	96	44	s	s	PROPN
ijassa-1167	96	45	of	of	ADP
ijassa-1167	96	46	the	the	DET
ijassa-1167	96	47	weight	weight	NOUN
ijassa-1167	96	48	function	function	NOUN
ijassa-1167	96	49	,	,	PUNCT
ijassa-1167	96	50	for	for	ADP
ijassa-1167	96	51	example	example	NOUN
ijassa-1167	96	52	,	,	PUNCT
ijassa-1167	96	53	an	an	DET
ijassa-1167	96	54	exponent	exponent	NOUN
ijassa-1167	96	55	:	:	PUNCT
ijassa-1167	96	56	11	11	NUM
ijassa-1167	96	57	,	,	PUNCT
ijassa-1167	96	58	2	2	NUM
ijassa-1167	96	59	2	2	NUM
ijassa-1167	96	60	(	(	PUNCT
ijassa-1167	96	61	)	)	PUNCT
ijassa-1167	96	62	[	[	PUNCT
ijassa-1167	96	63	)	)	PUNCT
ijassa-1167	96	64	]	]	PUNCT
ijassa-1167	96	65	(	(	PUNCT
ijassa-1167	96	66	||	||	INTJ
ijassa-1167	96	67	||	||	X
ijassa-1167	96	68	)	)	PUNCT
ijassa-1167	96	69	,	,	PUNCT
ijassa-1167	96	70	=	=	SYM
ijassa-1167	96	71	min	min	X
ijassa-1167	96	72	–	–	PUNCT
ijassa-1167	96	73	–	–	PUNCT
ijassa-1167	96	74	(	(	PUNCT
ijassa-1167	96	75	1	1	NUM
ijassa-1167	96	76	,	,	PUNCT
ijassa-1167	96	77	exp	exp	NOUN
ijassa-1167	96	78	j	j	PROPN
ijassa-1167	96	79	n	n	NUM
ijassa-1167	96	80	nj	nj	PROPN
ijassa-1167	96	81	k	k	PROPN
ijassa-1167	96	82	k	k	PROPN
ijassa-1167	96	83	n	n	CCONJ
ijassa-1167	96	84	j	j	PROPN
ijassa-1167	96	85	n	n	CCONJ
ijassa-1167	96	86	n	n	PROPN
ijassa-1167	96	87	n	n	PROPN
ijassa-1167	96	88	s	s	PROPN
ijassa-1167	96	89	jn	jn	PROPN
ijassa-1167	96	90	n	n	PROPN
ijassa-1167	96	91	j	j	PROPN
ijassa-1167	96	92	q	q	X
ijassa-1167	96	93	x	x	X
ijassa-1167	96	94	c	c	NOUN
ijassa-1167	96	95	c	c	NOUN
ijassa-1167	96	96	x	x	SYM
ijassa-1167	96	97	w	w	PROPN
ijassa-1167	96	98	xx	xx	PROPN
ijassa-1167	96	99			ADJ
ijassa-1167	96	100			PROPN
ijassa-1167	96	101			PROPN
ijassa-1167	96	102			PROPN
ijassa-1167	96	103			PROPN
ijassa-1167	96	104	,	,	PUNCT
ijassa-1167	96	105	(	(	PUNCT
ijassa-1167	96	106	4.1	4.1	NUM
ijassa-1167	96	107	)	)	PUNCT
ijassa-1167	96	108	where	where	SCONJ
ijassa-1167	96	109	the	the	DET
ijassa-1167	96	110	row	row	NOUN
ijassa-1167	96	111	vector	vector	NOUN
ijassa-1167	96	112	(	(	PUNCT
ijassa-1167	96	113	1	1	NUM
ijassa-1167	96	114	,	,	PUNCT
ijassa-1167	96	115	xn	xn	PROPN
ijassa-1167	96	116	)	)	PUNCT
ijassa-1167	96	117	,	,	PUNCT
ijassa-1167	96	118	in	in	ADP
ijassa-1167	96	119	addition	addition	NOUN
ijassa-1167	96	120	to	to	ADP
ijassa-1167	96	121	the	the	DET
ijassa-1167	96	122	row	row	NOUN
ijassa-1167	96	123	vector	vector	NOUN
ijassa-1167	96	124	of	of	ADP
ijassa-1167	96	125	features	feature	NOUN
ijassa-1167	96	126	xn	xn	PROPN
ijassa-1167	96	127	of	of	ADP
ijassa-1167	96	128	the	the	DET
ijassa-1167	96	129	training	training	NOUN
ijassa-1167	96	130	set	set	NOUN
ijassa-1167	96	131	of	of	ADP
ijassa-1167	96	132	components	component	NOUN
ijassa-1167	96	133	,	,	PUNCT
ijassa-1167	96	134	contains	contain	VERB
ijassa-1167	96	135	a	a	DET
ijassa-1167	96	136	component	component	NOUN
ijassa-1167	96	137	one	one	NUM
ijassa-1167	96	138	.	.	PUNCT
ijassa-1167	97	1	n	n	PRON
ijassa-1167	97	2	is	be	AUX
ijassa-1167	97	3	the	the	DET
ijassa-1167	97	4	number	number	NOUN
ijassa-1167	97	5	of	of	ADP
ijassa-1167	97	6	rows	row	NOUN
ijassa-1167	97	7	in	in	ADP
ijassa-1167	97	8	the	the	DET
ijassa-1167	97	9	set	set	NOUN
ijassa-1167	97	10	without	without	ADP
ijassa-1167	97	11	row	row	NOUN
ijassa-1167	97	12	xj	xj	PROPN
ijassa-1167	97	13	at	at	ADP
ijassa-1167	97	14	the	the	DET
ijassa-1167	97	15	training	training	NOUN
ijassa-1167	97	16	stage	stage	NOUN
ijassa-1167	97	17	,	,	PUNCT
ijassa-1167	97	18	as	as	SCONJ
ijassa-1167	97	19	required	require	VERB
ijassa-1167	97	20	by	by	ADP
ijassa-1167	97	21	the	the	DET
ijassa-1167	97	22	loo	loo	NOUN
ijassa-1167	97	23	overfitting	overfitte	VERB
ijassa-1167	97	24	method	method	NOUN
ijassa-1167	97	25	(	(	PUNCT
ijassa-1167	97	26	leave	leave	VERB
ijassa-1167	97	27	-	-	PUNCT
ijassa-1167	97	28	one	one	NUM
ijassa-1167	97	29	-	-	PUNCT
ijassa-1167	97	30	out	out	NOUN
ijassa-1167	97	31	)	)	PUNCT
ijassa-1167	97	32	.	.	PUNCT
ijassa-1167	98	1	kn	kn	PROPN
ijassa-1167	98	2	is	be	AUX
ijassa-1167	98	3	the	the	DET
ijassa-1167	98	4	class	class	NOUN
ijassa-1167	98	5	number	number	NOUN
ijassa-1167	98	6	1	1	NUM
ijassa-1167	98	7	or	or	CCONJ
ijassa-1167	98	8	2	2	NUM
ijassa-1167	98	9	in	in	ADP
ijassa-1167	98	10	the	the	DET
ijassa-1167	98	11	set	set	NOUN
ijassa-1167	98	12	line	line	NOUN
ijassa-1167	98	13	n.	n.	PROPN
ijassa-1167	98	14	xn	xn	PROPN
ijassa-1167	98	15	is	be	AUX
ijassa-1167	98	16	the	the	DET
ijassa-1167	98	17	feature	feature	NOUN
ijassa-1167	98	18	vector	vector	NOUN
ijassa-1167	98	19	in	in	ADP
ijassa-1167	98	20	the	the	DET
ijassa-1167	98	21	set	set	NOUN
ijassa-1167	98	22	line	line	NOUN
ijassa-1167	98	23	n.	n.	PROPN
ijassa-1167	98	24	0w	0w	PROPN
ijassa-1167	99	1			NUM
ijassa-1167	99	2	is	be	AUX
ijassa-1167	99	3	a	a	DET
ijassa-1167	99	4	weighting	weighting	NOUN
ijassa-1167	99	5	factor	factor	NOUN
ijassa-1167	99	6	that	that	PRON
ijassa-1167	99	7	sets	set	VERB
ijassa-1167	99	8	the	the	DET
ijassa-1167	99	9	rate	rate	NOUN
ijassa-1167	99	10	of	of	ADP
ijassa-1167	99	11	decay	decay	NOUN
ijassa-1167	99	12	of	of	ADP
ijassa-1167	99	13	the	the	DET
ijassa-1167	99	14	weighting	weighting	NOUN
ijassa-1167	99	15	function	function	NOUN
ijassa-1167	99	16	(	(	PUNCT
ijassa-1167	99	17	in	in	ADP
ijassa-1167	99	18	this	this	DET
ijassa-1167	99	19	case	case	NOUN
ijassa-1167	99	20	,	,	PUNCT
ijassa-1167	99	21	the	the	DET
ijassa-1167	99	22	exponent	exponent	NOUN
ijassa-1167	99	23	is	be	AUX
ijassa-1167	99	24	from	from	ADP
ijassa-1167	99	25	the	the	DET
ijassa-1167	99	26	distance	distance	NOUN
ijassa-1167	99	27	of	of	ADP
ijassa-1167	99	28	the	the	DET
ijassa-1167	99	29	training	training	NOUN
ijassa-1167	99	30	set	set	NOUN
ijassa-1167	99	31	point	point	NOUN
ijassa-1167	99	32	to	to	ADP
ijassa-1167	99	33	a	a	DET
ijassa-1167	99	34	given	give	VERB
ijassa-1167	99	35	point	point	NOUN
ijassa-1167	99	36	)	)	PUNCT
ijassa-1167	99	37	.	.	PUNCT
ijassa-1167	100	1	s	s	PART
ijassa-1167	100	2	is	be	AUX
ijassa-1167	100	3	an	an	DET
ijassa-1167	100	4	exponent	exponent	NOUN
ijassa-1167	100	5	to	to	PART
ijassa-1167	100	6	which	which	PRON
ijassa-1167	100	7	the	the	DET
ijassa-1167	100	8	distance	distance	NOUN
ijassa-1167	100	9	from	from	ADP
ijassa-1167	100	10	the	the	DET
ijassa-1167	100	11	sampling	sampling	NOUN
ijassa-1167	100	12	point	point	NOUN
ijassa-1167	100	13	to	to	ADP
ijassa-1167	100	14	a	a	DET
ijassa-1167	100	15	given	give	VERB
ijassa-1167	100	16	point	point	NOUN
ijassa-1167	100	17	is	be	AUX
ijassa-1167	100	18	raised	raise	VERB
ijassa-1167	100	19	.	.	PUNCT
ijassa-1167	101	1	1	1	NUM
ijassa-1167	101	2	2	2	NUM
ijassa-1167	101	3	–	–	PUNCT
ijassa-1167	101	4	n	n	CCONJ
ijassa-1167	101	5	n	n	NOUN
ijassa-1167	101	6	k	k	NOUN
ijassa-1167	102	1	k	k	X
ijassa-1167	102	2	c	c	PUNCT
ijassa-1167	102	3	c	c	PROPN
ijassa-1167	102	4	is	be	AUX
ijassa-1167	102	5	the	the	DET
ijassa-1167	102	6	estimate	estimate	NOUN
ijassa-1167	102	7	of	of	ADP
ijassa-1167	102	8	the	the	DET
ijassa-1167	102	9	adf	adf	NOUN
ijassa-1167	102	10	in	in	ADP
ijassa-1167	102	11	the	the	DET
ijassa-1167	102	12	set	set	NOUN
ijassa-1167	102	13	row	row	NOUN
ijassa-1167	102	14	n	n	CCONJ
ijassa-1167	102	15	,	,	PUNCT
ijassa-1167	102	16	obtained	obtain	VERB
ijassa-1167	102	17	by	by	ADP
ijassa-1167	102	18	replacing	replace	VERB
ijassa-1167	102	19	the	the	DET
ijassa-1167	102	20	class	class	NOUN
ijassa-1167	102	21	number	number	NOUN
ijassa-1167	102	22	kn	kn	PROPN
ijassa-1167	102	23	,	,	PUNCT
ijassa-1167	102	24	1	1	NUM
ijassa-1167	102	25	or	or	CCONJ
ijassa-1167	102	26	2	2	NUM
ijassa-1167	102	27	,	,	PUNCT
ijassa-1167	102	28	in	in	ADP
ijassa-1167	102	29	the	the	DET
ijassa-1167	102	30	row	row	NOUN
ijassa-1167	102	31	by	by	ADP
ijassa-1167	102	32	the	the	DET
ijassa-1167	102	33	difference	difference	NOUN
ijassa-1167	102	34	in	in	ADP
ijassa-1167	102	35	error	error	NOUN
ijassa-1167	102	36	costs	cost	NOUN
ijassa-1167	102	37	determined	determine	VERB
ijassa-1167	102	38	by	by	ADP
ijassa-1167	102	39	the	the	DET
ijassa-1167	102	40	given	give	VERB
ijassa-1167	102	41	p	p	NOUN
ijassa-1167	102	42	*	*	PUNCT
ijassa-1167	102	43	.	.	PUNCT
ijassa-1167	103	1	having	having	AUX
ijassa-1167	103	2	obtained	obtain	VERB
ijassa-1167	103	3	the	the	DET
ijassa-1167	103	4	vector	vector	NOUN
ijassa-1167	103	5	of	of	ADP
ijassa-1167	103	6	coefficients	coefficient	NOUN
ijassa-1167	103	7	λj	λj	VERB
ijassa-1167	103	8	by	by	ADP
ijassa-1167	103	9	minimizing	minimize	VERB
ijassa-1167	103	10	criterion	criterion	NOUN
ijassa-1167	103	11	(	(	PUNCT
ijassa-1167	103	12	4.1	4.1	NUM
ijassa-1167	103	13	)	)	PUNCT
ijassa-1167	103	14	for	for	ADP
ijassa-1167	103	15	the	the	DET
ijassa-1167	103	16	given	give	VERB
ijassa-1167	103	17	parameters	parameter	NOUN
ijassa-1167	103	18	of	of	ADP
ijassa-1167	103	19	the	the	DET
ijassa-1167	103	20	method	method	NOUN
ijassa-1167	103	21	w	w	PROPN
ijassa-1167	103	22	and	and	CCONJ
ijassa-1167	103	23	s	s	VERB
ijassa-1167	103	24	,	,	PUNCT
ijassa-1167	103	25	we	we	PRON
ijassa-1167	103	26	calculate	calculate	VERB
ijassa-1167	103	27	the	the	DET
ijassa-1167	103	28	estimate	estimate	NOUN
ijassa-1167	103	29	of	of	ADP
ijassa-1167	103	30	the	the	DET
ijassa-1167	103	31	adf	adf	NOUN
ijassa-1167	103	32	at	at	ADP
ijassa-1167	103	33	the	the	DET
ijassa-1167	103	34	point	point	NOUN
ijassa-1167	103	35	xj	xj	PROPN
ijassa-1167	103	36	,	,	PUNCT
ijassa-1167	103	37	and	and	CCONJ
ijassa-1167	103	38	,	,	PUNCT
ijassa-1167	103	39	using	use	VERB
ijassa-1167	103	40	(	(	PUNCT
ijassa-1167	103	41	3.1	3.1	NUM
ijassa-1167	103	42	)	)	PUNCT
ijassa-1167	103	43	,	,	PUNCT
ijassa-1167	103	44	(	(	PUNCT
ijassa-1167	103	45	3.2	3.2	NUM
ijassa-1167	103	46	)	)	PUNCT
ijassa-1167	103	47	,	,	PUNCT
ijassa-1167	103	48	we	we	PRON
ijassa-1167	103	49	find	find	VERB
ijassa-1167	103	50	the	the	DET
ijassa-1167	103	51	estimate	estimate	NOUN
ijassa-1167	103	52	of	of	ADP
ijassa-1167	103	53	the	the	DET
ijassa-1167	103	54	pop	pop	NOUN
ijassa-1167	103	55	of	of	ADP
ijassa-1167	103	56	the	the	DET
ijassa-1167	103	57	first	first	ADJ
ijassa-1167	103	58	class	class	NOUN
ijassa-1167	103	59	at	at	ADP
ijassa-1167	103	60	the	the	DET
ijassa-1167	103	61	point	point	NOUN
ijassa-1167	103	62	xj	xj	PROPN
ijassa-1167	103	63	.	.	PUNCT
ijassa-1167	104	1	if	if	SCONJ
ijassa-1167	104	2	the	the	DET
ijassa-1167	104	3	number	number	NOUN
ijassa-1167	104	4	of	of	ADP
ijassa-1167	104	5	classes	class	NOUN
ijassa-1167	104	6	2k	2k	PROPN
ijassa-1167	104	7			INTJ
ijassa-1167	104	8	,	,	PUNCT
ijassa-1167	104	9	then	then	ADV
ijassa-1167	104	10	similarly	similarly	ADV
ijassa-1167	104	11	we	we	PRON
ijassa-1167	104	12	obtain	obtain	VERB
ijassa-1167	104	13	the	the	DET
ijassa-1167	104	14	pop	pop	NOUN
ijassa-1167	104	15	of	of	ADP
ijassa-1167	104	16	the	the	DET
ijassa-1167	104	17	class	class	NOUN
ijassa-1167	104	18	at	at	ADP
ijassa-1167	104	19	this	this	DET
ijassa-1167	104	20	point	point	NOUN
ijassa-1167	104	21	,	,	PUNCT
ijassa-1167	104	22	using	use	VERB
ijassa-1167	104	23	the	the	DET
ijassa-1167	104	24	method	method	NOUN
ijassa-1167	104	25	one	one	NUM
ijassa-1167	104	26	class	class	NOUN
ijassa-1167	104	27	against	against	ADP
ijassa-1167	104	28	all	all	DET
ijassa-1167	104	29	the	the	DET
ijassa-1167	104	30	others	other	NOUN
ijassa-1167	104	31	.	.	PUNCT
ijassa-1167	105	1	the	the	DET
ijassa-1167	105	2	best	good	ADJ
ijassa-1167	105	3	values	value	NOUN
ijassa-1167	105	4	of	of	ADP
ijassa-1167	105	5	the	the	DET
ijassa-1167	105	6	parameters	parameter	NOUN
ijassa-1167	105	7	w	w	PROPN
ijassa-1167	105	8	and	and	CCONJ
ijassa-1167	105	9	s	s	VERB
ijassa-1167	105	10	are	be	AUX
ijassa-1167	105	11	selected	select	VERB
ijassa-1167	105	12	,	,	PUNCT
ijassa-1167	105	13	for	for	ADP
ijassa-1167	105	14	example	example	NOUN
ijassa-1167	105	15	,	,	PUNCT
ijassa-1167	105	16	according	accord	VERB
ijassa-1167	105	17	to	to	ADP
ijassa-1167	105	18	the	the	DET
ijassa-1167	105	19	minimum	minimum	ADJ
ijassa-1167	105	20	criterion	criterion	NOUN
ijassa-1167	105	21	1	1	NUM
ijassa-1167	105	22	12	12	NUM
ijassa-1167	105	23	2	2	NUM
ijassa-1167	105	24	21	21	NUM
ijassa-1167	105	25	1	1	NUM
ijassa-1167	105	26	(	(	PUNCT
ijassa-1167	105	27	)	)	PUNCT
ijassa-1167	105	28	r	r	NOUN
ijassa-1167	105	29	n	n	NOUN
ijassa-1167	105	30	c	c	NOUN
ijassa-1167	105	31	n	n	NOUN
ijassa-1167	105	32	c	c	PROPN
ijassa-1167	105	33	n	n	PROPN
ijassa-1167	105	34			PRON
ijassa-1167	105	35	(	(	PUNCT
ijassa-1167	105	36	4.2	4.2	NUM
ijassa-1167	105	37	)	)	PUNCT
ijassa-1167	105	38	where	where	SCONJ
ijassa-1167	105	39	n1	n1	PROPN
ijassa-1167	105	40	is	be	AUX
ijassa-1167	105	41	the	the	DET
ijassa-1167	105	42	number	number	NOUN
ijassa-1167	105	43	of	of	ADP
ijassa-1167	105	44	points	point	NOUN
ijassa-1167	105	45	of	of	ADP
ijassa-1167	105	46	the	the	DET
ijassa-1167	105	47	first	first	ADJ
ijassa-1167	105	48	class	class	NOUN
ijassa-1167	105	49	,	,	PUNCT
ijassa-1167	105	50	erroneously	erroneously	ADV
ijassa-1167	105	51	assigned	assign	VERB
ijassa-1167	105	52	to	to	ADP
ijassa-1167	105	53	the	the	DET
ijassa-1167	105	54	second	second	ADJ
ijassa-1167	105	55	class	class	NOUN
ijassa-1167	105	56	,	,	PUNCT
ijassa-1167	105	57	n2	n2	NOUN
ijassa-1167	105	58	is	be	AUX
ijassa-1167	105	59	the	the	DET
ijassa-1167	105	60	number	number	NOUN
ijassa-1167	105	61	of	of	ADP
ijassa-1167	105	62	points	point	NOUN
ijassa-1167	105	63	of	of	ADP
ijassa-1167	105	64	the	the	DET
ijassa-1167	105	65	second	second	ADJ
ijassa-1167	105	66	class	class	NOUN
ijassa-1167	105	67	,	,	PUNCT
ijassa-1167	105	68	erroneously	erroneously	ADV
ijassa-1167	105	69	assigned	assign	VERB
ijassa-1167	105	70	to	to	ADP
ijassa-1167	105	71	the	the	DET
ijassa-1167	105	72	first	first	ADJ
ijassa-1167	105	73	class	class	NOUN
ijassa-1167	105	74	.	.	PUNCT
ijassa-1167	106	1	often	often	ADV
ijassa-1167	106	2	s	s	VERB
ijassa-1167	106	3	=	=	SYM
ijassa-1167	106	4	1	1	NUM
ijassa-1167	106	5	and	and	CCONJ
ijassa-1167	106	6	the	the	DET
ijassa-1167	106	7	value	value	NOUN
ijassa-1167	106	8	of	of	ADP
ijassa-1167	106	9	the	the	DET
ijassa-1167	106	10	only	only	ADJ
ijassa-1167	106	11	parameter	parameter	NOUN
ijassa-1167	106	12	w	w	PROPN
ijassa-1167	106	13	is	be	AUX
ijassa-1167	106	14	selected	select	VERB
ijassa-1167	106	15	.	.	PUNCT
ijassa-1167	107	1	the	the	DET
ijassa-1167	107	2	type	type	NOUN
ijassa-1167	107	3	of	of	ADP
ijassa-1167	107	4	the	the	DET
ijassa-1167	107	5	weighting	weighting	NOUN
ijassa-1167	107	6	function	function	NOUN
ijassa-1167	107	7	is	be	AUX
ijassa-1167	107	8	not	not	PART
ijassa-1167	107	9	necessarily	necessarily	ADV
ijassa-1167	107	10	exponential	exponential	ADJ
ijassa-1167	107	11	.	.	PUNCT
ijassa-1167	108	1	4.2	4.2	NUM
ijassa-1167	108	2	.	.	PUNCT
ijassa-1167	109	1	adf	adf	NOUN
ijassa-1167	109	2	approximation	approximation	NOUN
ijassa-1167	109	3	in	in	ADP
ijassa-1167	109	4	the	the	DET
ijassa-1167	109	5	neighborhood	neighborhood	NOUN
ijassa-1167	109	6	of	of	ADP
ijassa-1167	109	7	zero	zero	NUM
ijassa-1167	109	8	values	value	NOUN
ijassa-1167	109	9	in	in	ADP
ijassa-1167	109	10	some	some	DET
ijassa-1167	109	11	cases	case	NOUN
ijassa-1167	109	12	(	(	PUNCT
ijassa-1167	109	13	a	a	DET
ijassa-1167	109	14	large	large	ADJ
ijassa-1167	109	15	volume	volume	NOUN
ijassa-1167	109	16	of	of	ADP
ijassa-1167	109	17	the	the	DET
ijassa-1167	109	18	training	training	NOUN
ijassa-1167	109	19	set	set	NOUN
ijassa-1167	109	20	,	,	PUNCT
ijassa-1167	109	21	the	the	DET
ijassa-1167	109	22	presence	presence	NOUN
ijassa-1167	109	23	of	of	ADP
ijassa-1167	109	24	a	a	DET
ijassa-1167	109	25	priori	priori	ADJ
ijassa-1167	109	26	information	information	NOUN
ijassa-1167	109	27	about	about	ADP
ijassa-1167	109	28	the	the	DET
ijassa-1167	109	29	conditional	conditional	ADJ
ijassa-1167	109	30	distributions	distribution	NOUN
ijassa-1167	109	31	of	of	ADP
ijassa-1167	109	32	features	feature	NOUN
ijassa-1167	109	33	of	of	ADP
ijassa-1167	109	34	classes	class	NOUN
ijassa-1167	109	35	,	,	PUNCT
ijassa-1167	109	36	or	or	CCONJ
ijassa-1167	109	37	about	about	ADP
ijassa-1167	109	38	the	the	DET
ijassa-1167	109	39	type	type	NOUN
ijassa-1167	109	40	of	of	ADP
ijassa-1167	109	41	surface	surface	NOUN
ijassa-1167	109	42	separating	separate	VERB
ijassa-1167	109	43	the	the	DET
ijassa-1167	109	44	classes	class	NOUN
ijassa-1167	109	45	)	)	PUNCT
ijassa-1167	109	46	,	,	PUNCT
ijassa-1167	109	47	it	it	PRON
ijassa-1167	109	48	is	be	AUX
ijassa-1167	109	49	more	more	ADV
ijassa-1167	109	50	expedient	expedient	ADJ
ijassa-1167	109	51	to	to	PART
ijassa-1167	109	52	build	build	VERB
ijassa-1167	109	53	a	a	DET
ijassa-1167	109	54	parametric	parametric	ADJ
ijassa-1167	109	55	model	model	NOUN
ijassa-1167	109	56	.	.	PUNCT
ijassa-1167	110	1	it	it	PRON
ijassa-1167	110	2	can	can	AUX
ijassa-1167	110	3	be	be	AUX
ijassa-1167	110	4	in	in	ADP
ijassa-1167	110	5	the	the	DET
ijassa-1167	110	6	form	form	NOUN
ijassa-1167	110	7	of	of	ADP
ijassa-1167	110	8	a	a	DET
ijassa-1167	110	9	discriminant	discriminant	ADJ
ijassa-1167	110	10	function	function	NOUN
ijassa-1167	110	11	of	of	ADP
ijassa-1167	110	12	a	a	DET
ijassa-1167	110	13	given	give	VERB
ijassa-1167	110	14	form	form	NOUN
ijassa-1167	110	15	with	with	ADP
ijassa-1167	110	16	unknown	unknown	ADJ
ijassa-1167	110	17	parameters	parameter	NOUN
ijassa-1167	110	18	determined	determine	VERB
ijassa-1167	110	19	from	from	ADP
ijassa-1167	110	20	the	the	DET
ijassa-1167	110	21	training	training	NOUN
ijassa-1167	110	22	set	set	NOUN
ijassa-1167	110	23	.	.	PUNCT
ijassa-1167	111	1	to	to	PART
ijassa-1167	111	2	classify	classify	VERB
ijassa-1167	111	3	a	a	DET
ijassa-1167	111	4	point	point	NOUN
ijassa-1167	111	5	,	,	PUNCT
ijassa-1167	111	6	we	we	PRON
ijassa-1167	111	7	can	can	AUX
ijassa-1167	111	8	use	use	VERB
ijassa-1167	111	9	the	the	DET
ijassa-1167	111	10	bayes	bayes	NOUN
ijassa-1167	111	11	formula	formula	NOUN
ijassa-1167	111	12	to	to	PART
ijassa-1167	111	13	recalculate	recalculate	VERB
ijassa-1167	111	14	the	the	DET
ijassa-1167	111	15	reconstructed	reconstructed	ADJ
ijassa-1167	111	16	conditional	conditional	ADJ
ijassa-1167	111	17	distributions	distribution	NOUN
ijassa-1167	111	18	of	of	ADP
ijassa-1167	111	19	class	class	NOUN
ijassa-1167	111	20	features	feature	NOUN
ijassa-1167	111	21	to	to	ADP
ijassa-1167	111	22	the	the	DET
ijassa-1167	111	23	pop	pop	NOUN
ijassa-1167	111	24	of	of	ADP
ijassa-1167	111	25	the	the	DET
ijassa-1167	111	26	classes	class	NOUN
ijassa-1167	111	27	at	at	ADP
ijassa-1167	111	28	the	the	DET
ijassa-1167	111	29	specified	specified	ADJ
ijassa-1167	111	30	point	point	NOUN
ijassa-1167	111	31	and	and	CCONJ
ijassa-1167	111	32	,	,	PUNCT
ijassa-1167	111	33	taking	take	VERB
ijassa-1167	111	34	into	into	ADP
ijassa-1167	111	35	account	account	NOUN
ijassa-1167	111	36	the	the	DET
ijassa-1167	111	37	costs	cost	NOUN
ijassa-1167	111	38	of	of	ADP
ijassa-1167	111	39	classification	classification	NOUN
ijassa-1167	111	40	errors	error	NOUN
ijassa-1167	111	41	,	,	PUNCT
ijassa-1167	111	42	assign	assign	VERB
ijassa-1167	111	43	the	the	DET
ijassa-1167	111	44	point	point	NOUN
ijassa-1167	111	45	to	to	ADP
ijassa-1167	111	46	a	a	DET
ijassa-1167	111	47	particular	particular	ADJ
ijassa-1167	111	48	class	class	NOUN
ijassa-1167	111	49	.	.	PUNCT
ijassa-1167	112	1	we	we	PRON
ijassa-1167	112	2	propose	propose	VERB
ijassa-1167	112	3	in	in	ADP
ijassa-1167	112	4	[	[	X
ijassa-1167	112	5	5	5	NUM
ijassa-1167	112	6	]	]	PUNCT
ijassa-1167	112	7	a	a	DET
ijassa-1167	112	8	heuristic	heuristic	ADJ
ijassa-1167	112	9	method	method	NOUN
ijassa-1167	112	10	for	for	ADP
ijassa-1167	112	11	constructing	construct	VERB
ijassa-1167	112	12	a	a	DET
ijassa-1167	112	13	parametric	parametric	ADJ
ijassa-1167	112	14	model	model	NOUN
ijassa-1167	112	15	of	of	ADP
ijassa-1167	112	16	the	the	DET
ijassa-1167	112	17	classification	classification	NOUN
ijassa-1167	112	18	problem	problem	NOUN
ijassa-1167	112	19	based	base	VERB
ijassa-1167	112	20	on	on	ADP
ijassa-1167	112	21	a	a	DET
ijassa-1167	112	22	supervised	supervised	ADJ
ijassa-1167	112	23	training	training	NOUN
ijassa-1167	112	24	set	set	NOUN
ijassa-1167	112	25	,	,	PUNCT
ijassa-1167	112	26	used	use	VERB
ijassa-1167	112	27	for	for	ADP
ijassa-1167	112	28	the	the	DET
ijassa-1167	112	29	approximation	approximation	NOUN
ijassa-1167	112	30	of	of	ADP
ijassa-1167	112	31	the	the	DET
ijassa-1167	112	32	discriminant	discriminant	NOUN
ijassa-1167	112	33	function	function	VERB
ijassa-1167	112	34	in	in	ADP
ijassa-1167	112	35	the	the	DET
ijassa-1167	112	36	vicinity	vicinity	NOUN
ijassa-1167	112	37	of	of	ADP
ijassa-1167	112	38	its	its	PRON
ijassa-1167	112	39	zero	zero	NUM
ijassa-1167	112	40	values	value	NOUN
ijassa-1167	112	41	for	for	ADP
ijassa-1167	112	42	given	give	VERB
ijassa-1167	112	43	costs	cost	NOUN
ijassa-1167	112	44	of	of	ADP
ijassa-1167	112	45	classification	classification	NOUN
ijassa-1167	112	46	errors	error	NOUN
ijassa-1167	112	47	.	.	PUNCT
ijassa-1167	113	1	in	in	ADP
ijassa-1167	113	2	this	this	DET
ijassa-1167	113	3	case	case	NOUN
ijassa-1167	113	4	,	,	PUNCT
ijassa-1167	113	5	we	we	PRON
ijassa-1167	113	6	usually	usually	ADV
ijassa-1167	113	7	do	do	AUX
ijassa-1167	113	8	not	not	PART
ijassa-1167	113	9	talk	talk	VERB
ijassa-1167	113	10	about	about	ADP
ijassa-1167	113	11	evaluating	evaluate	VERB
ijassa-1167	113	12	the	the	DET
ijassa-1167	113	13	pop	pop	NOUN
ijassa-1167	113	14	of	of	ADP
ijassa-1167	113	15	the	the	DET
ijassa-1167	113	16	classes	class	NOUN
ijassa-1167	113	17	.	.	PUNCT
ijassa-1167	114	1	the	the	DET
ijassa-1167	114	2	supervised	supervised	ADJ
ijassa-1167	114	3	training	training	NOUN
ijassa-1167	114	4	set	set	NOUN
ijassa-1167	114	5	does	do	AUX
ijassa-1167	114	6	not	not	PART
ijassa-1167	114	7	contain	contain	VERB
ijassa-1167	114	8	information	information	NOUN
ijassa-1167	114	9	about	about	ADP
ijassa-1167	114	10	the	the	DET
ijassa-1167	114	11	position	position	NOUN
ijassa-1167	114	12	of	of	ADP
ijassa-1167	114	13	the	the	DET
ijassa-1167	114	14	adf	adf	PROPN
ijassa-1167	114	15	zero	zero	NUM
ijassa-1167	114	16	points	point	NOUN
ijassa-1167	114	17	.	.	PUNCT
ijassa-1167	115	1	for	for	ADP
ijassa-1167	115	2	given	give	VERB
ijassa-1167	115	3	values	value	NOUN
ijassa-1167	115	4	of	of	ADP
ijassa-1167	115	5	classification	classification	NOUN
ijassa-1167	115	6	errors	error	NOUN
ijassa-1167	115	7	,	,	PUNCT
ijassa-1167	115	8	there	there	PRON
ijassa-1167	115	9	may	may	AUX
ijassa-1167	115	10	be	be	AUX
ijassa-1167	115	11	no	no	DET
ijassa-1167	115	12	boundary	boundary	NOUN
ijassa-1167	115	13	between	between	ADP
ijassa-1167	115	14	classes	class	NOUN
ijassa-1167	115	15	and	and	CCONJ
ijassa-1167	115	16	all	all	DET
ijassa-1167	115	17	points	point	NOUN
ijassa-1167	115	18	should	should	AUX
ijassa-1167	115	19	be	be	AUX
ijassa-1167	115	20	assigned	assign	VERB
ijassa-1167	115	21	to	to	ADP
ijassa-1167	115	22	the	the	DET
ijassa-1167	115	23	same	same	ADJ
ijassa-1167	115	24	class	class	NOUN
ijassa-1167	115	25	.	.	PUNCT
ijassa-1167	116	1	to	to	PART
ijassa-1167	116	2	solve	solve	VERB
ijassa-1167	116	3	the	the	DET
ijassa-1167	116	4	problem	problem	NOUN
ijassa-1167	116	5	,	,	PUNCT
ijassa-1167	116	6	a	a	DET
ijassa-1167	116	7	heuristic	heuristic	ADJ
ijassa-1167	116	8	method	method	NOUN
ijassa-1167	116	9	[	[	X
ijassa-1167	116	10	5	5	NUM
ijassa-1167	116	11	]	]	PUNCT
ijassa-1167	116	12	of	of	ADP
ijassa-1167	116	13	approaching	approach	VERB
ijassa-1167	116	14	the	the	DET
ijassa-1167	116	15	boundary	boundary	NOUN
ijassa-1167	116	16	between	between	ADP
ijassa-1167	116	17	classes	class	NOUN
ijassa-1167	116	18	is	be	AUX
ijassa-1167	116	19	used	use	VERB
ijassa-1167	116	20	.	.	PUNCT
ijassa-1167	117	1	first	first	ADV
ijassa-1167	117	2	,	,	PUNCT
ijassa-1167	117	3	based	base	VERB
ijassa-1167	117	4	on	on	ADP
ijassa-1167	117	5	the	the	DET
ijassa-1167	117	6	given	give	VERB
ijassa-1167	117	7	costs	cost	NOUN
ijassa-1167	117	8	of	of	ADP
ijassa-1167	117	9	classification	classification	NOUN
ijassa-1167	117	10	errors	error	NOUN
ijassa-1167	117	11	,	,	PUNCT
ijassa-1167	117	12	the	the	DET
ijassa-1167	117	13	training	training	NOUN
ijassa-1167	117	14	set	set	NOUN
ijassa-1167	117	15	is	be	AUX
ijassa-1167	117	16	transformed	transform	VERB
ijassa-1167	117	17	into	into	ADP
ijassa-1167	117	18	a	a	DET
ijassa-1167	117	19	set	set	NOUN
ijassa-1167	117	20	of	of	ADP
ijassa-1167	117	21	the	the	DET
ijassa-1167	117	22	regression	regression	NOUN
ijassa-1167	117	23	analysis	analysis	NOUN
ijassa-1167	117	24	problem	problem	NOUN
ijassa-1167	117	25	by	by	ADP
ijassa-1167	117	26	replacing	replace	VERB
ijassa-1167	117	27	the	the	DET
ijassa-1167	117	28	class	class	NOUN
ijassa-1167	117	29	numbers	number	NOUN
ijassa-1167	117	30	(	(	PUNCT
ijassa-1167	117	31	labels	label	NOUN
ijassa-1167	117	32	)	)	PUNCT
ijassa-1167	117	33	with	with	ADP
ijassa-1167	117	34	the	the	DET
ijassa-1167	117	35	corresponding	correspond	VERB
ijassa-1167	117	36	differences	difference	NOUN
ijassa-1167	117	37	of	of	ADP
ijassa-1167	117	38	the	the	DET
ijassa-1167	117	39	costs	cost	NOUN
ijassa-1167	117	40	of	of	ADP
ijassa-1167	117	41	classification	classification	NOUN
ijassa-1167	117	42	errors	error	NOUN
ijassa-1167	117	43	(	(	PUNCT
ijassa-1167	117	44	2.1	2.1	NUM
ijassa-1167	117	45	)	)	PUNCT
ijassa-1167	117	46	.	.	PUNCT
ijassa-1167	118	1	then	then	ADV
ijassa-1167	118	2	,	,	PUNCT
ijassa-1167	118	3	several	several	ADJ
ijassa-1167	118	4	iterations	iteration	NOUN
ijassa-1167	118	5	of	of	ADP
ijassa-1167	118	6	solving	solve	VERB
ijassa-1167	118	7	the	the	DET
ijassa-1167	118	8	problems	problem	NOUN
ijassa-1167	118	9	of	of	ADP
ijassa-1167	118	10	approximation	approximation	NOUN
ijassa-1167	118	11	of	of	ADP
ijassa-1167	118	12	adf	adf	PROPN
ijassa-1167	118	13	by	by	ADP
ijassa-1167	118	14	the	the	DET
ijassa-1167	118	15	weighted	weight	VERB
ijassa-1167	118	16	least	least	ADJ
ijassa-1167	118	17	squares	square	NOUN
ijassa-1167	118	18	method	method	NOUN
ijassa-1167	118	19	are	be	AUX
ijassa-1167	118	20	estimation	estimation	NOUN
ijassa-1167	118	21	of	of	ADP
ijassa-1167	118	22	the	the	DET
ijassa-1167	118	23	posterior	posterior	ADJ
ijassa-1167	118	24	probabilities	probability	NOUN
ijassa-1167	118	25	of	of	ADP
ijassa-1167	118	26	classes	class	NOUN
ijassa-1167	118	27	…	…	PUNCT
ijassa-1167	118	28	237	237	NUM
ijassa-1167	118	29	copyright	copyright	NOUN
ijassa-1167	118	30	©	©	PROPN
ijassa-1167	118	31	2022	2022	NUM
ijassa-1167	118	32	assa	assa	NOUN
ijassa-1167	118	33	.	.	PUNCT
ijassa-1167	119	1	adv	adv	PROPN
ijassa-1167	119	2	.	.	PUNCT
ijassa-1167	120	1	in	in	ADP
ijassa-1167	120	2	systems	system	NOUN
ijassa-1167	120	3	science	science	NOUN
ijassa-1167	120	4	and	and	CCONJ
ijassa-1167	120	5	appl	appl	NOUN
ijassa-1167	120	6	.	.	PUNCT
ijassa-1167	121	1	(	(	PUNCT
ijassa-1167	121	2	2022	2022	NUM
ijassa-1167	121	3	)	)	PUNCT
ijassa-1167	121	4	started	start	VERB
ijassa-1167	121	5	.	.	PUNCT
ijassa-1167	122	1	the	the	DET
ijassa-1167	122	2	weight	weight	NOUN
ijassa-1167	122	3	function	function	NOUN
ijassa-1167	122	4	from	from	ADP
ijassa-1167	122	5	the	the	DET
ijassa-1167	122	6	distance	distance	NOUN
ijassa-1167	122	7	of	of	ADP
ijassa-1167	122	8	the	the	DET
ijassa-1167	122	9	point	point	NOUN
ijassa-1167	122	10	to	to	ADP
ijassa-1167	122	11	zero	zero	NUM
ijassa-1167	122	12	on	on	ADP
ijassa-1167	122	13	the	the	DET
ijassa-1167	122	14	previously	previously	ADV
ijassa-1167	122	15	obtained	obtain	VERB
ijassa-1167	122	16	adf	adf	NOUN
ijassa-1167	122	17	approximation	approximation	NOUN
ijassa-1167	122	18	is	be	AUX
ijassa-1167	122	19	used	use	VERB
ijassa-1167	122	20	as	as	ADP
ijassa-1167	122	21	the	the	DET
ijassa-1167	122	22	weights	weight	NOUN
ijassa-1167	122	23	of	of	ADP
ijassa-1167	122	24	the	the	DET
ijassa-1167	122	25	set	set	NOUN
ijassa-1167	122	26	points	point	NOUN
ijassa-1167	122	27	.	.	PUNCT
ijassa-1167	123	1	the	the	DET
ijassa-1167	123	2	measure	measure	NOUN
ijassa-1167	123	3	of	of	ADP
ijassa-1167	123	4	the	the	DET
ijassa-1167	123	5	distance	distance	NOUN
ijassa-1167	123	6	of	of	ADP
ijassa-1167	123	7	a	a	DET
ijassa-1167	123	8	point	point	NOUN
ijassa-1167	123	9	to	to	ADP
ijassa-1167	123	10	the	the	DET
ijassa-1167	123	11	zero	zero	NUM
ijassa-1167	123	12	of	of	ADP
ijassa-1167	123	13	the	the	DET
ijassa-1167	123	14	previous	previous	ADJ
ijassa-1167	123	15	approximation	approximation	NOUN
ijassa-1167	123	16	is	be	AUX
ijassa-1167	123	17	the	the	DET
ijassa-1167	123	18	module	module	NOUN
ijassa-1167	123	19	of	of	ADP
ijassa-1167	123	20	the	the	DET
ijassa-1167	123	21	previous	previous	ADJ
ijassa-1167	123	22	approximation	approximation	NOUN
ijassa-1167	123	23	of	of	ADP
ijassa-1167	123	24	the	the	DET
ijassa-1167	123	25	adf	adf	NOUN
ijassa-1167	123	26	at	at	ADP
ijassa-1167	123	27	this	this	DET
ijassa-1167	123	28	point	point	NOUN
ijassa-1167	123	29	.	.	PUNCT
ijassa-1167	124	1	solution	solution	NOUN
ijassa-1167	124	2	criterion	criterion	NOUN
ijassa-1167	124	3	at	at	ADP
ijassa-1167	124	4	each	each	DET
ijassa-1167	124	5	step	step	NOUN
ijassa-1167	124	6	with	with	ADP
ijassa-1167	124	7	an	an	DET
ijassa-1167	124	8	exponential	exponential	ADJ
ijassa-1167	124	9	weighting	weighting	NOUN
ijassa-1167	124	10	function	function	NOUN
ijassa-1167	124	11	:	:	PUNCT
ijassa-1167	124	12	2	2	NUM
ijassa-1167	124	13	11	11	NUM
ijassa-1167	124	14	2	2	NUM
ijassa-1167	124	15	1	1	NUM
ijassa-1167	124	16	min	min	NOUN
ijassa-1167	124	17	–	–	PUNCT
ijassa-1167	124	18	]	]	PUNCT
ijassa-1167	124	19	–	–	PUNCT
ijassa-1167	124	20	'	'	PUNCT
ijassa-1167	124	21	exp	exp	NOUN
ijassa-1167	124	22	(	(	PUNCT
ijassa-1167	124	23	)	)	PUNCT
ijassa-1167	124	24	{	{	PUNCT
ijassa-1167	124	25	[	[	PUNCT
ijassa-1167	124	26	(	(	PUNCT
ijassa-1167	124	27	)	)	PUNCT
ijassa-1167	124	28	(	(	PUNCT
ijassa-1167	124	29	|	|	ADV
ijassa-1167	124	30	(	(	PUNCT
ijassa-1167	124	31	)	)	PUNCT
ijassa-1167	124	32	|	|	ADV
ijassa-1167	124	33	)	)	PUNCT
ijassa-1167	124	34	}	}	PUNCT
ijassa-1167	124	35	'	'	PUNCT
ijassa-1167	124	36	i	i	PRON
ijassa-1167	124	37	n	n	VERB
ijassa-1167	124	38	n	n	NOUN
ijassa-1167	124	39	s	s	VERB
ijassa-1167	125	1	i	i	INTJ
ijassa-1167	125	2	k	k	PROPN
ijassa-1167	126	1	k	k	PROPN
ijassa-1167	126	2	i	i	PRON
ijassa-1167	127	1	n	n	VERB
ijassa-1167	127	2	i	i	PRON
ijassa-1167	128	1	n	n	VERB
ijassa-1167	128	2	i	i	PRON
ijassa-1167	128	3	n	n	VERB
ijassa-1167	128	4	n	n	CCONJ
ijassa-1167	129	1	nq	nq	NOUN
ijassa-1167	130	1	c	c	NOUN
ijassa-1167	130	2	c	c	NOUN
ijassa-1167	130	3	x	x	SYM
ijassa-1167	130	4	w	w	PROPN
ijassa-1167	130	5	x	x	PROPN
ijassa-1167	130	6			ADJ
ijassa-1167	130	7			PROPN
ijassa-1167	130	8			ADJ
ijassa-1167	130	9			NOUN
ijassa-1167	130	10			PROPN
ijassa-1167	130	11			NUM
ijassa-1167	130	12			NUM
ijassa-1167	131	1			PROPN
ijassa-1167	131	2	,	,	PUNCT
ijassa-1167	131	3	(	(	PUNCT
ijassa-1167	131	4	4.3	4.3	NUM
ijassa-1167	131	5	)	)	PUNCT
ijassa-1167	131	6	where	where	SCONJ
ijassa-1167	131	7	i	i	PRON
ijassa-1167	131	8	is	be	AUX
ijassa-1167	131	9	the	the	DET
ijassa-1167	131	10	iteration	iteration	NOUN
ijassa-1167	131	11	number	number	NOUN
ijassa-1167	131	12	,	,	PUNCT
ijassa-1167	131	13	1,2	1,2	NUM
ijassa-1167	131	14	,	,	PUNCT
ijassa-1167	131	15	...	...	PUNCT
ijassa-1167	131	16	,	,	PUNCT
ijassa-1167	131	17	{	{	PUNCT
ijassa-1167	131	18	}	}	PUNCT
ijassa-1167	131	19	i	i	PRON
ijassa-1167	131	20	i	i	NOUN
ijassa-1167	131	21	.	.	PUNCT
ijassa-1167	132	1	at	at	ADP
ijassa-1167	132	2	the	the	DET
ijassa-1167	132	3	first	first	ADJ
ijassa-1167	132	4	step	step	NOUN
ijassa-1167	132	5	,	,	PUNCT
ijassa-1167	132	6	the	the	DET
ijassa-1167	132	7	problem	problem	NOUN
ijassa-1167	132	8	is	be	AUX
ijassa-1167	132	9	solved	solve	VERB
ijassa-1167	132	10	without	without	ADP
ijassa-1167	132	11	a	a	DET
ijassa-1167	132	12	weighting	weighting	NOUN
ijassa-1167	132	13	function	function	NOUN
ijassa-1167	132	14			NOUN
ijassa-1167	133	1	0	0	PRON
ijassa-1167	133	2	0w	0w	NOUN
ijassa-1167	134	1			X
ijassa-1167	135	1	;	;	PUNCT
ijassa-1167	135	2	at	at	ADP
ijassa-1167	135	3	subsequent	subsequent	ADJ
ijassa-1167	135	4	steps	step	NOUN
ijassa-1167	135	5	,	,	PUNCT
ijassa-1167	135	6	the	the	DET
ijassa-1167	135	7	weighting	weighting	NOUN
ijassa-1167	135	8	function	function	NOUN
ijassa-1167	135	9	gives	give	VERB
ijassa-1167	135	10	more	more	ADJ
ijassa-1167	135	11	weight	weight	NOUN
ijassa-1167	135	12	to	to	PART
ijassa-1167	135	13	points	point	VERB
ijassa-1167	135	14	closer	close	ADV
ijassa-1167	135	15	to	to	ADP
ijassa-1167	135	16	the	the	DET
ijassa-1167	135	17	zero	zero	NUM
ijassa-1167	135	18	region	region	NOUN
ijassa-1167	135	19	of	of	ADP
ijassa-1167	135	20	the	the	DET
ijassa-1167	135	21	previous	previous	ADJ
ijassa-1167	135	22	adf	adf	NOUN
ijassa-1167	135	23	approximation	approximation	NOUN
ijassa-1167	135	24	.	.	PUNCT
ijassa-1167	136	1	i	i	PRON
ijassa-1167	136	2	is	be	AUX
ijassa-1167	136	3	a	a	DET
ijassa-1167	136	4	given	give	VERB
ijassa-1167	136	5	number	number	NOUN
ijassa-1167	136	6	of	of	ADP
ijassa-1167	136	7	iterations	iteration	NOUN
ijassa-1167	136	8	i	i	PRON
ijassa-1167	136	9			PUNCT
ijassa-1167	136	10	.	.	PUNCT
ijassa-1167	137	1	wi	wi	PROPN
ijassa-1167	137	2	is	be	AUX
ijassa-1167	137	3	a	a	DET
ijassa-1167	137	4	given	give	VERB
ijassa-1167	137	5	weighting	weighting	NOUN
ijassa-1167	137	6	factor	factor	NOUN
ijassa-1167	137	7	at	at	ADP
ijassa-1167	137	8	a	a	DET
ijassa-1167	137	9	step	step	NOUN
ijassa-1167	137	10	s	s	VERB
ijassa-1167	137	11	is	be	AUX
ijassa-1167	137	12	a	a	DET
ijassa-1167	137	13	given	give	VERB
ijassa-1167	137	14	exponent	exponent	NOUN
ijassa-1167	137	15	,	,	PUNCT
ijassa-1167	137	16	usually	usually	ADV
ijassa-1167	137	17	1s	1s	X
ijassa-1167	137	18			NOUN
ijassa-1167	137	19	.	.	PUNCT
ijassa-1167	138	1	the	the	DET
ijassa-1167	138	2	weighting	weighting	NOUN
ijassa-1167	138	3	factor	factor	NOUN
ijassa-1167	138	4	in	in	ADP
ijassa-1167	138	5	iterations	iteration	NOUN
ijassa-1167	138	6	can	can	AUX
ijassa-1167	138	7	be	be	AUX
ijassa-1167	138	8	constant	constant	ADJ
ijassa-1167	138	9	or	or	CCONJ
ijassa-1167	138	10	change	change	NOUN
ijassa-1167	138	11	,	,	PUNCT
ijassa-1167	138	12	for	for	ADP
ijassa-1167	138	13	example	example	NOUN
ijassa-1167	138	14	*	*	PUNCT
ijassa-1167	138	15	,	,	PUNCT
ijassa-1167	138	16	{	{	PUNCT
ijassa-1167	138	17	0,1	0,1	NOUN
ijassa-1167	138	18	,	,	PUNCT
ijassa-1167	138	19	...	...	PUNCT
ijassa-1167	138	20	,	,	PUNCT
ijassa-1167	138	21	}	}	PUNCT
ijassa-1167	138	22	iw	iw	X
ijassa-1167	138	23	w	w	NOUN
ijassa-1167	139	1	i	i	PRON
ijassa-1167	140	1	i	i	PRON
ijassa-1167	140	2	i	i	VERB
ijassa-1167	140	3			ADJ
ijassa-1167	140	4	.	.	PUNCT
ijassa-1167	141	1	for	for	ADP
ijassa-1167	141	2	each	each	DET
ijassa-1167	141	3	iteration	iteration	NOUN
ijassa-1167	141	4	,	,	PUNCT
ijassa-1167	141	5	the	the	DET
ijassa-1167	141	6	losses	loss	NOUN
ijassa-1167	141	7	are	be	AUX
ijassa-1167	141	8	found	find	VERB
ijassa-1167	141	9	from	from	ADP
ijassa-1167	141	10	the	the	DET
ijassa-1167	141	11	obtained	obtain	VERB
ijassa-1167	141	12	adf	adf	PROPN
ijassa-1167	141	13	approximation	approximation	NOUN
ijassa-1167	141	14	(	(	PUNCT
ijassa-1167	141	15	4.3	4.3	NUM
ijassa-1167	141	16	)	)	PUNCT
ijassa-1167	141	17	.	.	PUNCT
ijassa-1167	142	1	the	the	DET
ijassa-1167	142	2	best	good	ADJ
ijassa-1167	142	3	value	value	NOUN
ijassa-1167	142	4	of	of	ADP
ijassa-1167	142	5	λ	λ	PROPN
ijassa-1167	142	6	is	be	AUX
ijassa-1167	142	7	the	the	DET
ijassa-1167	142	8	vector	vector	NOUN
ijassa-1167	142	9	to	to	PART
ijassa-1167	142	10	which	which	PRON
ijassa-1167	142	11	the	the	DET
ijassa-1167	142	12	lower	low	ADJ
ijassa-1167	142	13	losses	loss	NOUN
ijassa-1167	142	14	correspond	correspond	VERB
ijassa-1167	142	15	(	(	PUNCT
ijassa-1167	142	16	4.2	4.2	NUM
ijassa-1167	142	17	)	)	PUNCT
ijassa-1167	142	18	.	.	PUNCT
ijassa-1167	143	1	4.3	4.3	NUM
ijassa-1167	143	2	.	.	PUNCT
ijassa-1167	143	3	estimation	estimation	NOUN
ijassa-1167	143	4	of	of	ADP
ijassa-1167	143	5	pop	pop	NOUN
ijassa-1167	143	6	of	of	ADP
ijassa-1167	143	7	the	the	DET
ijassa-1167	143	8	class	class	NOUN
ijassa-1167	143	9	at	at	ADP
ijassa-1167	143	10	a	a	DET
ijassa-1167	143	11	point	point	NOUN
ijassa-1167	143	12	from	from	ADP
ijassa-1167	143	13	a	a	DET
ijassa-1167	143	14	series	series	NOUN
ijassa-1167	143	15	of	of	ADP
ijassa-1167	143	16	adf	adf	PROPN
ijassa-1167	143	17	approximations	approximation	NOUN
ijassa-1167	143	18	in	in	ADP
ijassa-1167	143	19	this	this	DET
ijassa-1167	143	20	parametric	parametric	ADJ
ijassa-1167	143	21	method	method	NOUN
ijassa-1167	143	22	[	[	X
ijassa-1167	143	23	6	6	NUM
ijassa-1167	143	24	]	]	PUNCT
ijassa-1167	143	25	,	,	PUNCT
ijassa-1167	143	26	based	base	VERB
ijassa-1167	143	27	on	on	ADP
ijassa-1167	143	28	a	a	DET
ijassa-1167	143	29	supervised	supervised	ADJ
ijassa-1167	143	30	training	training	NOUN
ijassa-1167	143	31	set	set	NOUN
ijassa-1167	143	32	,	,	PUNCT
ijassa-1167	143	33	we	we	PRON
ijassa-1167	143	34	construct	construct	VERB
ijassa-1167	143	35	several	several	ADJ
ijassa-1167	143	36	approximations	approximation	NOUN
ijassa-1167	143	37	of	of	ADP
ijassa-1167	143	38	the	the	DET
ijassa-1167	143	39	adf	adf	NOUN
ijassa-1167	143	40	specified	specify	VERB
ijassa-1167	143	41	for	for	ADP
ijassa-1167	143	42	multiple	multiple	ADJ
ijassa-1167	143	43	pop	pop	NOUN
ijassa-1167	143	44	of	of	ADP
ijassa-1167	143	45	the	the	DET
ijassa-1167	143	46	first	first	ADJ
ijassa-1167	143	47	class	class	NOUN
ijassa-1167	143	48	at	at	ADP
ijassa-1167	143	49	the	the	DET
ijassa-1167	143	50	boundaries	boundary	NOUN
ijassa-1167	143	51	between	between	ADP
ijassa-1167	143	52	classes	class	NOUN
ijassa-1167	143	53	.	.	PUNCT
ijassa-1167	144	1	this	this	PRON
ijassa-1167	144	2	completes	complete	VERB
ijassa-1167	144	3	the	the	DET
ijassa-1167	144	4	training	training	NOUN
ijassa-1167	144	5	process	process	NOUN
ijassa-1167	144	6	and	and	CCONJ
ijassa-1167	144	7	the	the	DET
ijassa-1167	144	8	training	training	NOUN
ijassa-1167	144	9	set	set	NOUN
ijassa-1167	144	10	is	be	AUX
ijassa-1167	144	11	no	no	ADV
ijassa-1167	144	12	longer	long	ADV
ijassa-1167	144	13	used	use	VERB
ijassa-1167	144	14	.	.	PUNCT
ijassa-1167	145	1	the	the	DET
ijassa-1167	145	2	constructed	construct	VERB
ijassa-1167	145	3	series	series	NOUN
ijassa-1167	145	4	of	of	ADP
ijassa-1167	145	5	approximations	approximation	NOUN
ijassa-1167	145	6	can	can	AUX
ijassa-1167	145	7	be	be	AUX
ijassa-1167	145	8	used	use	VERB
ijassa-1167	145	9	to	to	PART
ijassa-1167	145	10	estimate	estimate	VERB
ijassa-1167	145	11	the	the	DET
ijassa-1167	145	12	pop	pop	NOUN
ijassa-1167	145	13	of	of	ADP
ijassa-1167	145	14	the	the	DET
ijassa-1167	145	15	first	first	ADJ
ijassa-1167	145	16	-	-	PUNCT
ijassa-1167	145	17	class	class	NOUN
ijassa-1167	145	18	at	at	ADP
ijassa-1167	145	19	a	a	DET
ijassa-1167	145	20	given	give	VERB
ijassa-1167	145	21	point	point	NOUN
ijassa-1167	145	22	in	in	ADP
ijassa-1167	145	23	the	the	DET
ijassa-1167	145	24	feature	feature	NOUN
ijassa-1167	145	25	space	space	NOUN
ijassa-1167	145	26	by	by	ADP
ijassa-1167	145	27	two	two	NUM
ijassa-1167	145	28	methods	method	NOUN
ijassa-1167	145	29	:	:	PUNCT
ijassa-1167	145	30	the	the	DET
ijassa-1167	145	31	interpolation	interpolation	NOUN
ijassa-1167	145	32	method	method	NOUN
ijassa-1167	145	33	and	and	CCONJ
ijassa-1167	145	34	the	the	DET
ijassa-1167	145	35	smoothing	smoothing	NOUN
ijassa-1167	145	36	method	method	NOUN
ijassa-1167	145	37	.	.	PUNCT
ijassa-1167	146	1	in	in	ADP
ijassa-1167	146	2	the	the	DET
ijassa-1167	146	3	interpolation	interpolation	NOUN
ijassa-1167	146	4	method	method	NOUN
ijassa-1167	146	5	for	for	ADP
ijassa-1167	146	6	estimating	estimate	VERB
ijassa-1167	146	7	the	the	DET
ijassa-1167	146	8	pop	pop	NOUN
ijassa-1167	146	9	of	of	ADP
ijassa-1167	146	10	the	the	DET
ijassa-1167	146	11	first	first	ADJ
ijassa-1167	146	12	class	class	NOUN
ijassa-1167	146	13	at	at	ADP
ijassa-1167	146	14	a	a	DET
ijassa-1167	146	15	given	give	VERB
ijassa-1167	146	16	point	point	NOUN
ijassa-1167	146	17	by	by	ADP
ijassa-1167	146	18	the	the	DET
ijassa-1167	146	19	signs	sign	NOUN
ijassa-1167	146	20	of	of	ADP
ijassa-1167	146	21	the	the	DET
ijassa-1167	146	22	adf	adf	NOUN
ijassa-1167	146	23	approximations	approximation	NOUN
ijassa-1167	146	24	in	in	ADP
ijassa-1167	146	25	the	the	DET
ijassa-1167	146	26	series	series	NOUN
ijassa-1167	146	27	,	,	PUNCT
ijassa-1167	146	28	at	at	ADP
ijassa-1167	146	29	this	this	DET
ijassa-1167	146	30	point	point	NOUN
ijassa-1167	146	31	,	,	PUNCT
ijassa-1167	146	32	there	there	PRON
ijassa-1167	146	33	is	be	VERB
ijassa-1167	146	34	a	a	DET
ijassa-1167	146	35	pair	pair	NOUN
ijassa-1167	146	36	of	of	ADP
ijassa-1167	146	37	neighboring	neighboring	NOUN
ijassa-1167	146	38	approximations	approximation	NOUN
ijassa-1167	146	39	,	,	PUNCT
ijassa-1167	146	40	between	between	ADP
ijassa-1167	146	41	which	which	PRON
ijassa-1167	146	42	the	the	DET
ijassa-1167	146	43	point	point	NOUN
ijassa-1167	146	44	is	be	AUX
ijassa-1167	146	45	located	locate	VERB
ijassa-1167	146	46	.	.	PUNCT
ijassa-1167	147	1	if	if	SCONJ
ijassa-1167	147	2	a	a	DET
ijassa-1167	147	3	pair	pair	NOUN
ijassa-1167	147	4	is	be	AUX
ijassa-1167	147	5	found	find	VERB
ijassa-1167	147	6	,	,	PUNCT
ijassa-1167	147	7	then	then	ADV
ijassa-1167	147	8	the	the	DET
ijassa-1167	147	9	interpolation	interpolation	NOUN
ijassa-1167	147	10	method	method	NOUN
ijassa-1167	147	11	yields	yield	VERB
ijassa-1167	147	12	an	an	DET
ijassa-1167	147	13	estimate	estimate	NOUN
ijassa-1167	147	14	for	for	ADP
ijassa-1167	147	15	pop	pop	NOUN
ijassa-1167	147	16	of	of	ADP
ijassa-1167	147	17	the	the	DET
ijassa-1167	147	18	first	first	ADJ
ijassa-1167	147	19	class	class	NOUN
ijassa-1167	147	20	.	.	PUNCT
ijassa-1167	148	1	a	a	DET
ijassa-1167	148	2	measure	measure	NOUN
ijassa-1167	148	3	of	of	ADP
ijassa-1167	148	4	the	the	DET
ijassa-1167	148	5	distance	distance	NOUN
ijassa-1167	148	6	to	to	ADP
ijassa-1167	148	7	neighboring	neighboring	NOUN
ijassa-1167	148	8	boundaries	boundary	NOUN
ijassa-1167	148	9	and	and	CCONJ
ijassa-1167	148	10	known	know	VERB
ijassa-1167	148	11	by	by	ADP
ijassa-1167	148	12	the	the	DET
ijassa-1167	148	13	construction	construction	NOUN
ijassa-1167	148	14	of	of	ADP
ijassa-1167	148	15	pop	pop	NOUN
ijassa-1167	148	16	of	of	ADP
ijassa-1167	148	17	the	the	DET
ijassa-1167	148	18	first	first	ADJ
ijassa-1167	148	19	class	class	NOUN
ijassa-1167	148	20	on	on	ADP
ijassa-1167	148	21	these	these	DET
ijassa-1167	148	22	boundaries	boundary	NOUN
ijassa-1167	148	23	is	be	AUX
ijassa-1167	148	24	the	the	DET
ijassa-1167	148	25	module	module	NOUN
ijassa-1167	148	26	of	of	ADP
ijassa-1167	148	27	the	the	DET
ijassa-1167	148	28	values	value	NOUN
ijassa-1167	148	29	of	of	ADP
ijassa-1167	148	30	neighboring	neighboring	NOUN
ijassa-1167	148	31	adf	adf	NOUN
ijassa-1167	148	32	approximations	approximation	NOUN
ijassa-1167	148	33	at	at	ADP
ijassa-1167	148	34	a	a	DET
ijassa-1167	148	35	given	give	VERB
ijassa-1167	148	36	point	point	NOUN
ijassa-1167	148	37	.	.	PUNCT
ijassa-1167	149	1	if	if	SCONJ
ijassa-1167	149	2	a	a	DET
ijassa-1167	149	3	given	give	VERB
ijassa-1167	149	4	point	point	NOUN
ijassa-1167	149	5	is	be	AUX
ijassa-1167	149	6	outside	outside	ADP
ijassa-1167	149	7	the	the	DET
ijassa-1167	149	8	limits	limit	NOUN
ijassa-1167	149	9	of	of	ADP
ijassa-1167	149	10	the	the	DET
ijassa-1167	149	11	adf	adf	PROPN
ijassa-1167	149	12	approximations	approximation	NOUN
ijassa-1167	149	13	,	,	PUNCT
ijassa-1167	149	14	then	then	ADV
ijassa-1167	149	15	the	the	DET
ijassa-1167	149	16	estimate	estimate	NOUN
ijassa-1167	149	17	of	of	ADP
ijassa-1167	149	18	the	the	DET
ijassa-1167	149	19	pop	pop	NOUN
ijassa-1167	149	20	of	of	ADP
ijassa-1167	149	21	the	the	DET
ijassa-1167	149	22	class	class	NOUN
ijassa-1167	149	23	is	be	AUX
ijassa-1167	149	24	found	find	VERB
ijassa-1167	149	25	by	by	ADP
ijassa-1167	149	26	extrapolation	extrapolation	NOUN
ijassa-1167	149	27	from	from	ADP
ijassa-1167	149	28	the	the	DET
ijassa-1167	149	29	first	first	ADJ
ijassa-1167	149	30	or	or	CCONJ
ijassa-1167	149	31	last	last	ADJ
ijassa-1167	149	32	adf	adf	NOUN
ijassa-1167	149	33	approximation	approximation	NOUN
ijassa-1167	149	34	in	in	ADP
ijassa-1167	149	35	the	the	DET
ijassa-1167	149	36	series	series	NOUN
ijassa-1167	149	37	,	,	PUNCT
ijassa-1167	149	38	checking	check	VERB
ijassa-1167	149	39	the	the	DET
ijassa-1167	149	40	result	result	NOUN
ijassa-1167	149	41	for	for	ADP
ijassa-1167	149	42	non	non	ADJ
ijassa-1167	149	43	-	-	ADJ
ijassa-1167	149	44	negativity	negativity	ADJ
ijassa-1167	149	45	and	and	CCONJ
ijassa-1167	149	46	not	not	PART
ijassa-1167	149	47	exceeding	exceed	VERB
ijassa-1167	149	48	one	one	NUM
ijassa-1167	149	49	.	.	PUNCT
ijassa-1167	150	1	in	in	ADP
ijassa-1167	150	2	the	the	DET
ijassa-1167	150	3	smoothing	smoothing	NOUN
ijassa-1167	150	4	method	method	NOUN
ijassa-1167	150	5	,	,	PUNCT
ijassa-1167	150	6	the	the	DET
ijassa-1167	150	7	weighted	weighted	ADJ
ijassa-1167	150	8	pj	pj	PROPN
ijassa-1167	150	9	*	*	PROPN
ijassa-1167	150	10	values	value	NOUN
ijassa-1167	150	11	used	use	VERB
ijassa-1167	150	12	to	to	PART
ijassa-1167	150	13	obtain	obtain	VERB
ijassa-1167	150	14	the	the	DET
ijassa-1167	150	15	j	j	NOUN
ijassa-1167	150	16	-	-	PUNCT
ijassa-1167	150	17	approximations	approximation	NOUN
ijassa-1167	150	18	of	of	ADP
ijassa-1167	150	19	the	the	DET
ijassa-1167	150	20	adf	adf	NOUN
ijassa-1167	150	21	are	be	AUX
ijassa-1167	150	22	used	use	VERB
ijassa-1167	150	23	to	to	PART
ijassa-1167	150	24	estimate	estimate	VERB
ijassa-1167	150	25	the	the	DET
ijassa-1167	150	26	pop	pop	NOUN
ijassa-1167	150	27	of	of	ADP
ijassa-1167	150	28	the	the	DET
ijassa-1167	150	29	classes	class	NOUN
ijassa-1167	150	30	at	at	ADP
ijassa-1167	150	31	a	a	DET
ijassa-1167	150	32	given	give	VERB
ijassa-1167	150	33	point	point	NOUN
ijassa-1167	150	34	.	.	PUNCT
ijassa-1167	151	1	as	as	ADP
ijassa-1167	151	2	a	a	DET
ijassa-1167	151	3	measure	measure	NOUN
ijassa-1167	151	4	of	of	ADP
ijassa-1167	151	5	the	the	DET
ijassa-1167	151	6	distance	distance	NOUN
ijassa-1167	151	7	of	of	ADP
ijassa-1167	151	8	a	a	DET
ijassa-1167	151	9	point	point	NOUN
ijassa-1167	151	10	to	to	ADP
ijassa-1167	151	11	the	the	DET
ijassa-1167	151	12	boundary	boundary	ADJ
ijassa-1167	151	13	j	j	PROPN
ijassa-1167	151	14	between	between	ADP
ijassa-1167	151	15	classes	class	NOUN
ijassa-1167	151	16	,	,	PUNCT
ijassa-1167	151	17	the	the	DET
ijassa-1167	151	18	modulus	modulus	NOUN
ijassa-1167	151	19	of	of	ADP
ijassa-1167	151	20	the	the	DET
ijassa-1167	151	21	value	value	NOUN
ijassa-1167	151	22	of	of	ADP
ijassa-1167	151	23	the	the	DET
ijassa-1167	151	24	japproximation	japproximation	NOUN
ijassa-1167	151	25	of	of	ADP
ijassa-1167	151	26	the	the	DET
ijassa-1167	151	27	adf	adf	NOUN
ijassa-1167	151	28	at	at	ADP
ijassa-1167	151	29	a	a	DET
ijassa-1167	151	30	given	give	VERB
ijassa-1167	151	31	point	point	NOUN
ijassa-1167	151	32			NOUN
ijassa-1167	151	33			PROPN
ijassa-1167	151	34	,	,	PUNCT
ijassa-1167	151	35	*	*	PUNCT
ijassa-1167	151	36	j	j	X
ijassa-1167	151	37	jf	jf	PROPN
ijassa-1167	151	38	x	x	PROPN
ijassa-1167	151	39	p	p	NOUN
ijassa-1167	151	40	is	be	AUX
ijassa-1167	151	41	used	use	VERB
ijassa-1167	151	42	.	.	PUNCT
ijassa-1167	152	1	as	as	ADP
ijassa-1167	152	2	a	a	DET
ijassa-1167	152	3	weighting	weighting	NOUN
ijassa-1167	152	4	function	function	NOUN
ijassa-1167	152	5	,	,	PUNCT
ijassa-1167	152	6	for	for	ADP
ijassa-1167	152	7	example	example	NOUN
ijassa-1167	152	8	,	,	PUNCT
ijassa-1167	152	9	the	the	DET
ijassa-1167	152	10	exponent	exponent	NOUN
ijassa-1167	152	11	is	be	AUX
ijassa-1167	152	12	used	use	VERB
ijassa-1167	152	13	*	*	PUNCT
ijassa-1167	152	14	1	1	NUM
ijassa-1167	152	15	(	(	PUNCT
ijassa-1167	152	16	)	)	PUNCT
ijassa-1167	152	17	(	(	PUNCT
ijassa-1167	152	18	|	|	ADV
ijassa-1167	152	19	,	,	PUNCT
ijassa-1167	152	20	(	(	PUNCT
ijassa-1167	152	21	exp	exp	NOUN
ijassa-1167	152	22	f	f	PROPN
ijassa-1167	152	23	,	,	PUNCT
ijassa-1167	152	24	)	)	PUNCT
ijassa-1167	152	25	)	)	PUNCT
ijassa-1167	153	1	|j	|j	PUNCT
ijassa-1167	154	1	j	j	PROPN
ijassa-1167	155	1	j	j	PROPN
ijassa-1167	155	2	j	j	PROPN
ijassa-1167	155	3	jw	jw	PROPN
ijassa-1167	155	4	x	x	PROPN
ijassa-1167	156	1	w	w	NOUN
ijassa-1167	156	2	x	x	X
ijassa-1167	156	3	p	p	X
ijassa-1167	156	4			NUM
ijassa-1167	156	5			PROPN
ijassa-1167	156	6			NOUN
ijassa-1167	156	7	,	,	PUNCT
ijassa-1167	156	8	(	(	PUNCT
ijassa-1167	156	9	4.4	4.4	NUM
ijassa-1167	156	10	)	)	PUNCT
ijassa-1167	156	11	where	where	SCONJ
ijassa-1167	156	12	w	w	NOUN
ijassa-1167	156	13	is	be	AUX
ijassa-1167	156	14	the	the	DET
ijassa-1167	156	15	parameter	parameter	NOUN
ijassa-1167	156	16	setting	set	VERB
ijassa-1167	156	17	the	the	DET
ijassa-1167	156	18	smoothing	smooth	VERB
ijassa-1167	156	19	properties	property	NOUN
ijassa-1167	156	20	of	of	ADP
ijassa-1167	156	21	the	the	DET
ijassa-1167	156	22	method	method	NOUN
ijassa-1167	156	23	.	.	PUNCT
ijassa-1167	157	1	the	the	DET
ijassa-1167	157	2	weighted	weight	VERB
ijassa-1167	157	3	estimated	estimate	VERB
ijassa-1167	157	4	pop	pop	NOUN
ijassa-1167	157	5	at	at	ADP
ijassa-1167	157	6	a	a	DET
ijassa-1167	157	7	point	point	NOUN
ijassa-1167	157	8	using	use	VERB
ijassa-1167	157	9	a	a	DET
ijassa-1167	157	10	series	series	NOUN
ijassa-1167	157	11	of	of	ADP
ijassa-1167	157	12	adf	adf	PROPN
ijassa-1167	157	13	approximation	approximation	NOUN
ijassa-1167	157	14	and	and	CCONJ
ijassa-1167	157	15	(	(	PUNCT
ijassa-1167	157	16	4.4	4.4	NUM
ijassa-1167	157	17	)	)	PUNCT
ijassa-1167	157	18	will	will	AUX
ijassa-1167	157	19	be	be	AUX
ijassa-1167	157	20	*	*	PUNCT
ijassa-1167	157	21	(	(	PUNCT
ijassa-1167	157	22	|	|	ADV
ijassa-1167	157	23	)	)	PUNCT
ijassa-1167	157	24	(	(	PUNCT
ijassa-1167	157	25	)	)	PUNCT
ijassa-1167	157	26	(	(	PUNCT
ijassa-1167	157	27	)	)	SYM
ijassa-1167	157	28	1	1	NUM
ijassa-1167	157	29	/	/	SYM
ijassa-1167	157	30	j	j	PROPN
ijassa-1167	158	1	j	j	PROPN
ijassa-1167	158	2	j	j	PROPN
ijassa-1167	158	3	j	j	PROPN
ijassa-1167	158	4	jp	jp	INTJ
ijassa-1167	158	5	x	x	X
ijassa-1167	159	1	p	p	X
ijassa-1167	159	2	w	w	X
ijassa-1167	159	3	x	x	X
ijassa-1167	159	4	w	w	PROPN
ijassa-1167	159	5	x	x	X
ijassa-1167	159	6			X
ijassa-1167	159	7			X
ijassa-1167	159	8	.	.	PUNCT
ijassa-1167	160	1	(	(	PUNCT
ijassa-1167	160	2	4.5	4.5	NUM
ijassa-1167	160	3	)	)	PUNCT
ijassa-1167	160	4	the	the	DET
ijassa-1167	160	5	best	good	ADJ
ijassa-1167	160	6	value	value	NOUN
ijassa-1167	160	7	of	of	ADP
ijassa-1167	160	8	w	w	NOUN
ijassa-1167	160	9	can	can	AUX
ijassa-1167	160	10	be	be	AUX
ijassa-1167	160	11	selected	select	VERB
ijassa-1167	160	12	according	accord	VERB
ijassa-1167	160	13	to	to	ADP
ijassa-1167	160	14	(	(	PUNCT
ijassa-1167	160	15	4.2	4.2	NUM
ijassa-1167	160	16	)	)	PUNCT
ijassa-1167	160	17	,	,	PUNCT
ijassa-1167	160	18	performing	perform	VERB
ijassa-1167	160	19	classifications	classification	NOUN
ijassa-1167	160	20	according	accord	VERB
ijassa-1167	160	21	to	to	ADP
ijassa-1167	160	22	the	the	DET
ijassa-1167	160	23	pop	pop	NOUN
ijassa-1167	160	24	of	of	ADP
ijassa-1167	160	25	the	the	DET
ijassa-1167	160	26	classes	class	NOUN
ijassa-1167	160	27	(	(	PUNCT
ijassa-1167	160	28	4.5	4.5	NUM
ijassa-1167	160	29	)	)	PUNCT
ijassa-1167	160	30	.	.	PUNCT
ijassa-1167	161	1	238	238	NUM
ijassa-1167	162	1	v.	v.	ADP
ijassa-1167	162	2	zenkov	zenkov	PROPN
ijassa-1167	162	3	copyright	copyright	PROPN
ijassa-1167	162	4	©	©	PROPN
ijassa-1167	162	5	2022	2022	NUM
ijassa-1167	162	6	assa	assa	PROPN
ijassa-1167	162	7	adv	adv	PROPN
ijassa-1167	162	8	.	.	PUNCT
ijassa-1167	163	1	in	in	ADP
ijassa-1167	163	2	systems	system	NOUN
ijassa-1167	163	3	science	science	NOUN
ijassa-1167	163	4	and	and	CCONJ
ijassa-1167	163	5	appl	appl	NOUN
ijassa-1167	163	6	.	.	PUNCT
ijassa-1167	164	1	(	(	PUNCT
ijassa-1167	164	2	2022	2022	NUM
ijassa-1167	164	3	)	)	PUNCT
ijassa-1167	164	4	5	5	NUM
ijassa-1167	164	5	.	.	PUNCT
ijassa-1167	164	6	examples	example	NOUN
ijassa-1167	164	7	5.1	5.1	NUM
ijassa-1167	164	8	.	.	PUNCT
ijassa-1167	165	1	approximation	approximation	NOUN
ijassa-1167	165	2	of	of	ADP
ijassa-1167	165	3	the	the	DET
ijassa-1167	165	4	adf	adf	NOUN
ijassa-1167	165	5	at	at	ADP
ijassa-1167	165	6	a	a	DET
ijassa-1167	165	7	point	point	NOUN
ijassa-1167	165	8	we	we	PRON
ijassa-1167	165	9	present	present	VERB
ijassa-1167	165	10	the	the	DET
ijassa-1167	165	11	case	case	NOUN
ijassa-1167	165	12	of	of	ADP
ijassa-1167	165	13	solving	solve	VERB
ijassa-1167	165	14	the	the	DET
ijassa-1167	165	15	problem	problem	NOUN
ijassa-1167	165	16	by	by	ADP
ijassa-1167	165	17	minimizing	minimize	VERB
ijassa-1167	165	18	(	(	PUNCT
ijassa-1167	165	19	4.3	4.3	NUM
ijassa-1167	165	20	)	)	PUNCT
ijassa-1167	165	21	and	and	CCONJ
ijassa-1167	165	22	(	(	PUNCT
ijassa-1167	165	23	4.2	4.2	NUM
ijassa-1167	165	24	)	)	PUNCT
ijassa-1167	165	25	in	in	ADP
ijassa-1167	165	26	fig	fig	NOUN
ijassa-1167	165	27	.	.	PUNCT
ijassa-1167	166	1	5.1	5.1	NUM
ijassa-1167	166	2	with	with	ADP
ijassa-1167	166	3	normal	normal	ADJ
ijassa-1167	166	4	conditional	conditional	ADJ
ijassa-1167	166	5	distributions	distribution	NOUN
ijassa-1167	166	6	of	of	ADP
ijassa-1167	166	7	two	two	NUM
ijassa-1167	166	8	-	-	PUNCT
ijassa-1167	166	9	dimensional	dimensional	ADJ
ijassa-1167	166	10	features	feature	NOUN
ijassa-1167	166	11	of	of	ADP
ijassa-1167	166	12	three	three	NUM
ijassa-1167	166	13	classes	class	NOUN
ijassa-1167	166	14	.	.	PUNCT
ijassa-1167	167	1	one	one	NUM
ijassa-1167	167	2	of	of	ADP
ijassa-1167	167	3	them	they	PRON
ijassa-1167	167	4	,	,	PUNCT
ijassa-1167	167	5	class	class	PROPN
ijassa-1167	167	6	a	a	NOUN
ijassa-1167	167	7	,	,	PUNCT
ijassa-1167	167	8	is	be	AUX
ijassa-1167	167	9	located	locate	VERB
ijassa-1167	167	10	between	between	ADP
ijassa-1167	167	11	classes	class	NOUN
ijassa-1167	167	12	b	b	PROPN
ijassa-1167	167	13	and	and	CCONJ
ijassa-1167	167	14	c.	c.	PROPN
ijassa-1167	167	15	class	class	PROPN
ijassa-1167	167	16	a	a	PRON
ijassa-1167	167	17	is	be	AUX
ijassa-1167	167	18	designated	designate	VERB
ijassa-1167	167	19	by	by	ADP
ijassa-1167	167	20	the	the	DET
ijassa-1167	167	21	number	number	NOUN
ijassa-1167	167	22	1	1	NUM
ijassa-1167	167	23	,	,	PUNCT
ijassa-1167	167	24	classes	class	NOUN
ijassa-1167	167	25	b	b	NOUN
ijassa-1167	167	26	and	and	CCONJ
ijassa-1167	167	27	c	c	PROPN
ijassa-1167	167	28	will	will	AUX
ijassa-1167	167	29	be	be	AUX
ijassa-1167	167	30	combined	combine	VERB
ijassa-1167	167	31	into	into	ADP
ijassa-1167	167	32	one	one	NUM
ijassa-1167	167	33	class	class	NOUN
ijassa-1167	167	34	and	and	CCONJ
ijassa-1167	167	35	designated	designate	VERB
ijassa-1167	167	36	by	by	ADP
ijassa-1167	167	37	the	the	DET
ijassa-1167	167	38	number	number	NOUN
ijassa-1167	167	39	2	2	NUM
ijassa-1167	167	40	.	.	PUNCT
ijassa-1167	167	41	class	class	NOUN
ijassa-1167	167	42	middles	middle	NOUN
ijassa-1167	167	43	:	:	PUNCT
ijassa-1167	167	44			NOUN
ijassa-1167	168	1			SYM
ijassa-1167	168	2			NOUN
ijassa-1167	168	3			SYM
ijassa-1167	168	4			NOUN
ijassa-1167	168	5			PROPN
ijassa-1167	168	6	0	0	NUM
ijassa-1167	168	7	,	,	PUNCT
ijassa-1167	168	8	0	0	NUM
ijassa-1167	168	9	,	,	PUNCT
ijassa-1167	168	10	3	3	NUM
ijassa-1167	168	11	,	,	PUNCT
ijassa-1167	168	12	0	0	NUM
ijassa-1167	168	13	,	,	PUNCT
ijassa-1167	168	14	3	3	NUM
ijassa-1167	168	15	,	,	PUNCT
ijassa-1167	168	16	0a	0a	PROPN
ijassa-1167	168	17	b	b	SYM
ijassa-1167	168	18	cm	cm	NOUN
ijassa-1167	168	19	m	m	VERB
ijassa-1167	168	20	m	m	NOUN
ijassa-1167	168	21			ADJ
ijassa-1167	168	22			PROPN
ijassa-1167	168	23			NUM
ijassa-1167	168	24	.the	.the	PUNCT
ijassa-1167	168	25	covariance	covariance	NOUN
ijassa-1167	168	26	matrices	matrix	NOUN
ijassa-1167	168	27	of	of	ADP
ijassa-1167	168	28	the	the	DET
ijassa-1167	168	29	classes	class	NOUN
ijassa-1167	168	30	are	be	AUX
ijassa-1167	168	31	the	the	DET
ijassa-1167	168	32	same	same	ADJ
ijassa-1167	168	33	.	.	PUNCT
ijassa-1167	169	1	the	the	DET
ijassa-1167	169	2	prior	prior	ADJ
ijassa-1167	169	3	probabilities	probability	NOUN
ijassa-1167	169	4	of	of	ADP
ijassa-1167	169	5	the	the	DET
ijassa-1167	169	6	classes	class	NOUN
ijassa-1167	169	7	0.5ap	0.5ap	X
ijassa-1167	170	1			NUM
ijassa-1167	170	2	,	,	PUNCT
ijassa-1167	170	3	0.25b	0.25b	PROPN
ijassa-1167	170	4	cp	cp	INTJ
ijassa-1167	170	5	p	p	ADV
ijassa-1167	171	1			INTJ
ijassa-1167	171	2	.	.	PUNCT
ijassa-1167	172	1	the	the	DET
ijassa-1167	172	2	set	set	NOUN
ijassa-1167	172	3	generated	generate	VERB
ijassa-1167	172	4	by	by	ADP
ijassa-1167	172	5	this	this	DET
ijassa-1167	172	6	parameter	parameter	NOUN
ijassa-1167	172	7	contains	contain	VERB
ijassa-1167	172	8	120	120	NUM
ijassa-1167	172	9	points	point	NOUN
ijassa-1167	172	10	.	.	PUNCT
ijassa-1167	173	1	the	the	DET
ijassa-1167	173	2	figure	figure	NOUN
ijassa-1167	173	3	shows	show	VERB
ijassa-1167	173	4	the	the	DET
ijassa-1167	173	5	theoretical	theoretical	ADJ
ijassa-1167	173	6	densities	density	NOUN
ijassa-1167	173	7	of	of	ADP
ijassa-1167	173	8	conditional	conditional	ADJ
ijassa-1167	173	9	distributions	distribution	NOUN
ijassa-1167	173	10	of	of	ADP
ijassa-1167	173	11	class	class	NOUN
ijassa-1167	173	12	features	feature	NOUN
ijassa-1167	173	13	,	,	PUNCT
ijassa-1167	173	14	theoretical	theoretical	ADJ
ijassa-1167	173	15	adf	adf	NOUN
ijassa-1167	173	16	and	and	CCONJ
ijassa-1167	173	17	pop	pop	NOUN
ijassa-1167	173	18	of	of	ADP
ijassa-1167	173	19	the	the	DET
ijassa-1167	173	20	first	first	ADJ
ijassa-1167	173	21	class	class	NOUN
ijassa-1167	173	22	,	,	PUNCT
ijassa-1167	173	23	as	as	ADV
ijassa-1167	173	24	well	well	ADV
ijassa-1167	173	25	as	as	ADP
ijassa-1167	173	26	estimates	estimate	NOUN
ijassa-1167	173	27	of	of	ADP
ijassa-1167	173	28	pop	pop	NOUN
ijassa-1167	173	29	at	at	ADP
ijassa-1167	173	30	given	give	VERB
ijassa-1167	173	31	points	point	NOUN
ijassa-1167	173	32	,	,	PUNCT
ijassa-1167	173	33	obtained	obtain	VERB
ijassa-1167	173	34	from	from	ADP
ijassa-1167	173	35	1s	1s	NUM
ijassa-1167	173	36			NOUN
ijassa-1167	173	37	and	and	CCONJ
ijassa-1167	173	38	3w	3w	NUM
ijassa-1167	173	39			NUM
ijassa-1167	173	40	(	(	PUNCT
ijassa-1167	173	41	4.2	4.2	NUM
ijassa-1167	173	42	)	)	PUNCT
ijassa-1167	173	43	.	.	PUNCT
ijassa-1167	174	1	fig	fig	NOUN
ijassa-1167	174	2	.	.	PUNCT
ijassa-1167	175	1	5.1	5.1	NUM
ijassa-1167	175	2	the	the	DET
ijassa-1167	175	3	root	root	NOUN
ijassa-1167	175	4	-	-	PUNCT
ijassa-1167	175	5	mean	mean	ADJ
ijassa-1167	175	6	-	-	PUNCT
ijassa-1167	175	7	square	square	ADJ
ijassa-1167	175	8	errors	error	NOUN
ijassa-1167	175	9	(	(	PUNCT
ijassa-1167	175	10	rms	rm	NOUN
ijassa-1167	175	11	)	)	PUNCT
ijassa-1167	175	12	in	in	ADP
ijassa-1167	175	13	the	the	DET
ijassa-1167	175	14	estimation	estimation	NOUN
ijassa-1167	175	15	of	of	ADP
ijassa-1167	175	16	pop	pop	NOUN
ijassa-1167	175	17	of	of	ADP
ijassa-1167	175	18	the	the	DET
ijassa-1167	175	19	first	first	ADJ
ijassa-1167	175	20	-	-	PUNCT
ijassa-1167	175	21	class	class	NOUN
ijassa-1167	175	22	about	about	ADP
ijassa-1167	175	23	with	with	ADP
ijassa-1167	175	24	concern	concern	NOUN
ijassa-1167	175	25	to	to	ADP
ijassa-1167	175	26	the	the	DET
ijassa-1167	175	27	theoretical	theoretical	ADJ
ijassa-1167	175	28	ones	one	NOUN
ijassa-1167	175	29	were	be	AUX
ijassa-1167	175	30	0.09	0.09	NUM
ijassa-1167	175	31	and	and	CCONJ
ijassa-1167	175	32	0.18	0.18	NUM
ijassa-1167	175	33	,	,	PUNCT
ijassa-1167	175	34	respectively	respectively	ADV
ijassa-1167	175	35	,	,	PUNCT
ijassa-1167	175	36	for	for	ADP
ijassa-1167	175	37	the	the	DET
ijassa-1167	175	38	linear	linear	ADJ
ijassa-1167	175	39	and	and	CCONJ
ijassa-1167	175	40	polynomial	polynomial	ADJ
ijassa-1167	175	41	approximation	approximation	NOUN
ijassa-1167	175	42	of	of	ADP
ijassa-1167	175	43	the	the	DET
ijassa-1167	175	44	second	second	ADJ
ijassa-1167	175	45	-	-	PUNCT
ijassa-1167	175	46	order	order	NOUN
ijassa-1167	175	47	of	of	ADP
ijassa-1167	175	48	the	the	DET
ijassa-1167	175	49	adf	adf	PROPN
ijassa-1167	175	50	.	.	PUNCT
ijassa-1167	176	1	the	the	DET
ijassa-1167	176	2	linear	linear	PROPN
ijassa-1167	176	3	approximation	approximation	NOUN
ijassa-1167	176	4	of	of	ADP
ijassa-1167	176	5	adf	adf	PROPN
ijassa-1167	176	6	turned	turn	VERB
ijassa-1167	176	7	out	out	ADP
ijassa-1167	176	8	to	to	PART
ijassa-1167	176	9	be	be	AUX
ijassa-1167	176	10	more	more	ADV
ijassa-1167	176	11	accurate	accurate	ADJ
ijassa-1167	176	12	in	in	ADP
ijassa-1167	176	13	this	this	DET
ijassa-1167	176	14	set	set	NOUN
ijassa-1167	176	15	.	.	PUNCT
ijassa-1167	177	1	the	the	DET
ijassa-1167	177	2	estimates	estimate	NOUN
ijassa-1167	177	3	of	of	ADP
ijassa-1167	177	4	pop	pop	NOUN
ijassa-1167	177	5	of	of	ADP
ijassa-1167	177	6	the	the	DET
ijassa-1167	177	7	first	first	ADJ
ijassa-1167	177	8	class	class	NOUN
ijassa-1167	177	9	at	at	ADP
ijassa-1167	177	10	the	the	DET
ijassa-1167	177	11	given	give	VERB
ijassa-1167	177	12	points	point	NOUN
ijassa-1167	177	13	are	be	AUX
ijassa-1167	177	14	located	locate	VERB
ijassa-1167	177	15	near	near	ADP
ijassa-1167	177	16	the	the	DET
ijassa-1167	177	17	curve	curve	NOUN
ijassa-1167	177	18	of	of	ADP
ijassa-1167	177	19	pop	pop	NOUN
ijassa-1167	177	20	of	of	ADP
ijassa-1167	177	21	the	the	DET
ijassa-1167	177	22	first	first	ADJ
ijassa-1167	177	23	class	class	NOUN
ijassa-1167	177	24	,	,	PUNCT
ijassa-1167	177	25	obtained	obtain	VERB
ijassa-1167	177	26	from	from	ADP
ijassa-1167	177	27	the	the	DET
ijassa-1167	177	28	estimates	estimate	NOUN
ijassa-1167	177	29	of	of	ADP
ijassa-1167	177	30	the	the	DET
ijassa-1167	177	31	parameters	parameter	NOUN
ijassa-1167	177	32	of	of	ADP
ijassa-1167	177	33	the	the	DET
ijassa-1167	177	34	normal	normal	ADJ
ijassa-1167	177	35	laws	law	NOUN
ijassa-1167	177	36	of	of	ADP
ijassa-1167	177	37	conditional	conditional	ADJ
ijassa-1167	177	38	distributions	distribution	NOUN
ijassa-1167	177	39	of	of	ADP
ijassa-1167	177	40	features	feature	NOUN
ijassa-1167	177	41	(	(	PUNCT
ijassa-1167	177	42	the	the	DET
ijassa-1167	177	43	dashed	dash	VERB
ijassa-1167	177	44	curve	curve	NOUN
ijassa-1167	177	45	next	next	ADV
ijassa-1167	177	46	to	to	ADP
ijassa-1167	177	47	the	the	DET
ijassa-1167	177	48	solid	solid	ADJ
ijassa-1167	177	49	theoretical	theoretical	ADJ
ijassa-1167	177	50	curve	curve	NOUN
ijassa-1167	177	51	of	of	ADP
ijassa-1167	177	52	pop	pop	NOUN
ijassa-1167	177	53	of	of	ADP
ijassa-1167	177	54	the	the	DET
ijassa-1167	177	55	first	first	ADJ
ijassa-1167	177	56	class	class	NOUN
ijassa-1167	177	57	)	)	PUNCT
ijassa-1167	177	58	.	.	PUNCT
ijassa-1167	178	1	since	since	SCONJ
ijassa-1167	178	2	there	there	PRON
ijassa-1167	178	3	are	be	VERB
ijassa-1167	178	4	two	two	NUM
ijassa-1167	178	5	features	feature	NOUN
ijassa-1167	178	6	,	,	PUNCT
ijassa-1167	178	7	the	the	DET
ijassa-1167	178	8	flat	flat	ADJ
ijassa-1167	178	9	figure	figure	NOUN
ijassa-1167	178	10	shows	show	VERB
ijassa-1167	178	11	a	a	DET
ijassa-1167	178	12	section	section	NOUN
ijassa-1167	178	13	by	by	ADP
ijassa-1167	178	14	a	a	DET
ijassa-1167	178	15	plane	plane	NOUN
ijassa-1167	178	16	passing	pass	VERB
ijassa-1167	178	17	along	along	ADP
ijassa-1167	178	18	the	the	DET
ijassa-1167	178	19	axis	axis	NOUN
ijassa-1167	178	20	of	of	ADP
ijassa-1167	178	21	the	the	DET
ijassa-1167	178	22	values	value	NOUN
ijassa-1167	178	23	of	of	ADP
ijassa-1167	178	24	the	the	DET
ijassa-1167	178	25	first	first	ADJ
ijassa-1167	178	26	feature	feature	NOUN
ijassa-1167	178	27	and	and	CCONJ
ijassa-1167	178	28	the	the	DET
ijassa-1167	178	29	ordinate	ordinate	NOUN
ijassa-1167	178	30	.	.	PUNCT
ijassa-1167	179	1	estimation	estimation	NOUN
ijassa-1167	179	2	of	of	ADP
ijassa-1167	179	3	the	the	DET
ijassa-1167	179	4	posterior	posterior	ADJ
ijassa-1167	179	5	probabilities	probability	NOUN
ijassa-1167	179	6	of	of	ADP
ijassa-1167	179	7	classes	class	NOUN
ijassa-1167	179	8	…	…	PUNCT
ijassa-1167	179	9	239	239	NUM
ijassa-1167	179	10	copyright	copyright	NOUN
ijassa-1167	179	11	©	©	PROPN
ijassa-1167	179	12	2022	2022	NUM
ijassa-1167	179	13	assa	assa	NOUN
ijassa-1167	179	14	.	.	PUNCT
ijassa-1167	180	1	adv	adv	PROPN
ijassa-1167	180	2	.	.	PUNCT
ijassa-1167	181	1	in	in	ADP
ijassa-1167	181	2	systems	system	NOUN
ijassa-1167	181	3	science	science	NOUN
ijassa-1167	181	4	and	and	CCONJ
ijassa-1167	181	5	appl	appl	NOUN
ijassa-1167	181	6	.	.	PUNCT
ijassa-1167	182	1	(	(	PUNCT
ijassa-1167	182	2	2022	2022	NUM
ijassa-1167	182	3	)	)	PUNCT
ijassa-1167	182	4	fig	fig	NOUN
ijassa-1167	182	5	.	.	PUNCT
ijassa-1167	183	1	5.2	5.2	NUM
ijassa-1167	183	2	fig	fig	NOUN
ijassa-1167	183	3	.	.	PUNCT
ijassa-1167	184	1	5.2	5.2	NUM
ijassa-1167	184	2	shows	show	VERB
ijassa-1167	184	3	an	an	DET
ijassa-1167	184	4	example	example	NOUN
ijassa-1167	184	5	with	with	ADP
ijassa-1167	184	6	a	a	DET
ijassa-1167	184	7	one	one	NUM
ijassa-1167	184	8	-	-	PUNCT
ijassa-1167	184	9	dimensional	dimensional	ADJ
ijassa-1167	184	10	feature	feature	NOUN
ijassa-1167	184	11	distributed	distribute	VERB
ijassa-1167	184	12	according	accord	VERB
ijassa-1167	184	13	to	to	ADP
ijassa-1167	184	14	a	a	DET
ijassa-1167	184	15	uniform	uniform	ADJ
ijassa-1167	184	16	law	law	NOUN
ijassa-1167	184	17	of	of	ADP
ijassa-1167	184	18	probability	probability	NOUN
ijassa-1167	184	19	distribution	distribution	NOUN
ijassa-1167	184	20	.	.	PUNCT
ijassa-1167	185	1	classes	class	NOUN
ijassa-1167	185	2	a	a	PRON
ijassa-1167	185	3	,	,	PUNCT
ijassa-1167	185	4	b	b	PROPN
ijassa-1167	185	5	and	and	CCONJ
ijassa-1167	185	6	c	c	PROPN
ijassa-1167	185	7	have	have	VERB
ijassa-1167	185	8	averages	average	NOUN
ijassa-1167	185	9	0	0	NUM
ijassa-1167	185	10	,	,	PUNCT
ijassa-1167	185	11	3	3	NUM
ijassa-1167	185	12	,	,	PUNCT
ijassa-1167	185	13	3a	3a	NUM
ijassa-1167	185	14	b	b	SYM
ijassa-1167	185	15	cm	cm	NUM
ijassa-1167	185	16	m	m	VERB
ijassa-1167	185	17	m	m	NOUN
ijassa-1167	185	18			ADJ
ijassa-1167	185	19			PROPN
ijassa-1167	185	20			NUM
ijassa-1167	185	21	.	.	PUNCT
ijassa-1167	186	1	the	the	DET
ijassa-1167	186	2	limits	limit	NOUN
ijassa-1167	186	3	of	of	ADP
ijassa-1167	186	4	maximum	maximum	ADJ
ijassa-1167	186	5	deviations	deviation	NOUN
ijassa-1167	186	6	from	from	ADP
ijassa-1167	186	7	the	the	DET
ijassa-1167	186	8	average	average	NOUN
ijassa-1167	186	9	in	in	ADP
ijassa-1167	186	10	both	both	DET
ijassa-1167	186	11	directions	direction	NOUN
ijassa-1167	186	12	are	be	AUX
ijassa-1167	186	13	the	the	DET
ijassa-1167	186	14	same	same	ADJ
ijassa-1167	186	15	and	and	CCONJ
ijassa-1167	186	16	equal	equal	ADJ
ijassa-1167	186	17	to	to	ADP
ijassa-1167	186	18	2	2	NUM
ijassa-1167	186	19	.	.	PUNCT
ijassa-1167	187	1	the	the	DET
ijassa-1167	187	2	classes	class	NOUN
ijassa-1167	187	3	are	be	AUX
ijassa-1167	187	4	intersected	intersect	VERB
ijassa-1167	187	5	in	in	ADP
ijassa-1167	187	6	the	the	DET
ijassa-1167	187	7	feature	feature	NOUN
ijassa-1167	187	8	space	space	NOUN
ijassa-1167	187	9	.	.	PUNCT
ijassa-1167	188	1	the	the	DET
ijassa-1167	188	2	prior	prior	ADJ
ijassa-1167	188	3	probabilities	probability	NOUN
ijassa-1167	188	4	of	of	ADP
ijassa-1167	188	5	the	the	DET
ijassa-1167	188	6	classes	class	NOUN
ijassa-1167	188	7	are	be	AUX
ijassa-1167	188	8	the	the	DET
ijassa-1167	188	9	same	same	ADJ
ijassa-1167	188	10	as	as	ADP
ijassa-1167	188	11	in	in	ADP
ijassa-1167	188	12	the	the	DET
ijassa-1167	188	13	previous	previous	ADJ
ijassa-1167	188	14	case	case	NOUN
ijassa-1167	188	15	.	.	PUNCT
ijassa-1167	189	1	there	there	PRON
ijassa-1167	189	2	are	be	VERB
ijassa-1167	189	3	120	120	NUM
ijassa-1167	189	4	points	point	NOUN
ijassa-1167	189	5	in	in	ADP
ijassa-1167	189	6	the	the	DET
ijassa-1167	189	7	training	training	NOUN
ijassa-1167	189	8	set	set	NOUN
ijassa-1167	189	9	,	,	PUNCT
ijassa-1167	189	10	1s	1s	NUM
ijassa-1167	189	11			NUM
ijassa-1167	189	12	and	and	CCONJ
ijassa-1167	189	13	3w	3w	NUM
ijassa-1167	189	14			NUM
ijassa-1167	189	15	.	.	PUNCT
ijassa-1167	190	1	visually	visually	ADV
ijassa-1167	190	2	,	,	PUNCT
ijassa-1167	190	3	the	the	DET
ijassa-1167	190	4	estimates	estimate	NOUN
ijassa-1167	190	5	of	of	ADP
ijassa-1167	190	6	pop	pop	NOUN
ijassa-1167	190	7	of	of	ADP
ijassa-1167	190	8	the	the	DET
ijassa-1167	190	9	first	first	ADJ
ijassa-1167	190	10	class	class	NOUN
ijassa-1167	190	11	by	by	ADP
ijassa-1167	190	12	a	a	DET
ijassa-1167	190	13	second	second	ADJ
ijassa-1167	190	14	-	-	PUNCT
ijassa-1167	190	15	order	order	NOUN
ijassa-1167	190	16	polynomial	polynomial	NOUN
ijassa-1167	190	17	in	in	ADP
ijassa-1167	190	18	being	be	AUX
ijassa-1167	190	19	more	more	ADV
ijassa-1167	190	20	accurate	accurate	ADJ
ijassa-1167	190	21	.	.	PUNCT
ijassa-1167	191	1	explanations	explanation	NOUN
ijassa-1167	191	2	for	for	ADP
ijassa-1167	191	3	fig	fig	NOUN
ijassa-1167	191	4	.	.	PUNCT
ijassa-1167	192	1	5.1	5.1	NUM
ijassa-1167	192	2	and	and	CCONJ
ijassa-1167	192	3	fig	fig	NOUN
ijassa-1167	192	4	.	.	PUNCT
ijassa-1167	193	1	5.2	5.2	NUM
ijassa-1167	193	2	.	.	PUNCT
ijassa-1167	194	1	the	the	DET
ijassa-1167	194	2	sampling	sample	VERB
ijassa-1167	194	3	points	point	NOUN
ijassa-1167	194	4	of	of	ADP
ijassa-1167	194	5	the	the	DET
ijassa-1167	194	6	three	three	NUM
ijassa-1167	194	7	classes	class	NOUN
ijassa-1167	194	8	a	a	DET
ijassa-1167	194	9	,	,	PUNCT
ijassa-1167	194	10	b	b	NOUN
ijassa-1167	194	11	,	,	PUNCT
ijassa-1167	194	12	and	and	CCONJ
ijassa-1167	194	13	c	c	PROPN
ijassa-1167	194	14	are	be	AUX
ijassa-1167	194	15	located	locate	VERB
ijassa-1167	194	16	at	at	ADP
ijassa-1167	194	17	levels	level	NOUN
ijassa-1167	194	18	p	p	X
ijassa-1167	194	19	*	*	PUNCT
ijassa-1167	194	20	and	and	CCONJ
ijassa-1167	194	21	1	1	NUM
ijassa-1167	194	22	*	*	ADJ
ijassa-1167	194	23	p	p	NOUN
ijassa-1167	194	24	.	.	PUNCT
ijassa-1167	195	1	the	the	DET
ijassa-1167	195	2	conditional	conditional	ADJ
ijassa-1167	195	3	distributions	distribution	NOUN
ijassa-1167	195	4	of	of	ADP
ijassa-1167	195	5	features	feature	NOUN
ijassa-1167	195	6	of	of	ADP
ijassa-1167	195	7	classes	class	NOUN
ijassa-1167	195	8	1	1	NUM
ijassa-1167	195	9	and	and	CCONJ
ijassa-1167	195	10	2	2	NUM
ijassa-1167	195	11	(	(	PUNCT
ijassa-1167	195	12	one	one	NUM
ijassa-1167	195	13	against	against	ADP
ijassa-1167	195	14	combining	combine	VERB
ijassa-1167	195	15	the	the	DET
ijassa-1167	195	16	other	other	ADJ
ijassa-1167	195	17	two	two	NUM
ijassa-1167	195	18	)	)	PUNCT
ijassa-1167	195	19	are	be	AUX
ijassa-1167	195	20	the	the	DET
ijassa-1167	195	21	dashed	dash	VERB
ijassa-1167	195	22	lines	line	NOUN
ijassa-1167	195	23			PROPN
ijassa-1167	195	24	|1p	|1p	ADJ
ijassa-1167	195	25	x	x	PUNCT
ijassa-1167	195	26	and	and	CCONJ
ijassa-1167	195	27			PROPN
ijassa-1167	195	28	|	|	PROPN
ijassa-1167	196	1	2p	2p	NUM
ijassa-1167	196	2	x	x	PUNCT
ijassa-1167	196	3	in	in	ADP
ijassa-1167	196	4	the	the	DET
ijassa-1167	196	5	figures	figure	NOUN
ijassa-1167	196	6	.	.	PUNCT
ijassa-1167	197	1	the	the	DET
ijassa-1167	197	2	solid	solid	ADJ
ijassa-1167	197	3	thin	thin	ADJ
ijassa-1167	197	4	line	line	NOUN
ijassa-1167	197	5	is	be	AUX
ijassa-1167	197	6	the	the	DET
ijassa-1167	197	7	distribution	distribution	NOUN
ijassa-1167	197	8	density	density	NOUN
ijassa-1167	197	9	of	of	ADP
ijassa-1167	197	10	x	x	PRON
ijassa-1167	197	11	,	,	PUNCT
ijassa-1167	197	12	p(x	p(x	PROPN
ijassa-1167	197	13	)	)	PUNCT
ijassa-1167	197	14	.	.	PUNCT
ijassa-1167	198	1	the	the	DET
ijassa-1167	198	2	inscription	inscription	NOUN
ijassa-1167	198	3	adf	adf	PROPN
ijassa-1167	198	4	denotes	denote	VERB
ijassa-1167	198	5	the	the	DET
ijassa-1167	198	6	position	position	NOUN
ijassa-1167	198	7	of	of	ADP
ijassa-1167	198	8	the	the	DET
ijassa-1167	198	9	theoretical	theoretical	ADJ
ijassa-1167	198	10	adf	adf	NOUN
ijassa-1167	198	11	(	(	PUNCT
ijassa-1167	198	12	solid	solid	ADJ
ijassa-1167	198	13	thick	thick	ADJ
ijassa-1167	198	14	line	line	NOUN
ijassa-1167	198	15	with	with	ADP
ijassa-1167	198	16	convexity	convexity	NOUN
ijassa-1167	198	17	downward	downward	ADV
ijassa-1167	198	18	)	)	PUNCT
ijassa-1167	198	19	.	.	PUNCT
ijassa-1167	199	1			NOUN
ijassa-1167	199	2	|1p	|1p	ADJ
ijassa-1167	199	3	x	x	PUNCT
ijassa-1167	199	4	is	be	AUX
ijassa-1167	199	5	the	the	DET
ijassa-1167	199	6	theoretical	theoretical	ADJ
ijassa-1167	199	7	pop	pop	NOUN
ijassa-1167	199	8	of	of	ADP
ijassa-1167	199	9	the	the	DET
ijassa-1167	199	10	first	first	ADJ
ijassa-1167	199	11	class	class	NOUN
ijassa-1167	199	12	(	(	PUNCT
ijassa-1167	199	13	solid	solid	ADJ
ijassa-1167	199	14	thick	thick	ADJ
ijassa-1167	199	15	line	line	NOUN
ijassa-1167	199	16	with	with	ADP
ijassa-1167	199	17	a	a	DET
ijassa-1167	199	18	convex	convex	NOUN
ijassa-1167	199	19	upward	upward	ADV
ijassa-1167	199	20	)	)	PUNCT
ijassa-1167	199	21	.	.	PUNCT
ijassa-1167	200	1	close	close	ADV
ijassa-1167	200	2	to	to	ADP
ijassa-1167	200	3	theoretical	theoretical	ADJ
ijassa-1167	200	4	dashed	dash	VERB
ijassa-1167	200	5	lines	line	NOUN
ijassa-1167	200	6	is	be	AUX
ijassa-1167	200	7	adf	adf	NOUN
ijassa-1167	200	8	and	and	CCONJ
ijassa-1167	200	9	pop	pop	NOUN
ijassa-1167	200	10	constructed	construct	VERB
ijassa-1167	200	11	from	from	ADP
ijassa-1167	200	12	the	the	DET
ijassa-1167	200	13	training	training	NOUN
ijassa-1167	200	14	set	set	NOUN
ijassa-1167	200	15	,	,	PUNCT
ijassa-1167	200	16	for	for	ADP
ijassa-1167	200	17	the	the	DET
ijassa-1167	200	18	known	know	VERB
ijassa-1167	200	19	conditional	conditional	ADJ
ijassa-1167	200	20	distributions	distribution	NOUN
ijassa-1167	200	21	of	of	ADP
ijassa-1167	200	22	class	class	NOUN
ijassa-1167	200	23	attributes	attribute	NOUN
ijassa-1167	200	24	and	and	CCONJ
ijassa-1167	200	25	the	the	DET
ijassa-1167	200	26	given	give	VERB
ijassa-1167	200	27	costs	cost	NOUN
ijassa-1167	200	28	of	of	ADP
ijassa-1167	200	29	classification	classification	NOUN
ijassa-1167	200	30	errors	error	NOUN
ijassa-1167	200	31	,	,	PUNCT
ijassa-1167	200	32	*	*	PUNCT
ijassa-1167	200	33	0.5p	0.5p	NOUN
ijassa-1167	200	34			VERB
ijassa-1167	200	35	.	.	PUNCT
ijassa-1167	201	1	the	the	DET
ijassa-1167	201	2	adf	adf	PROPN
ijassa-1167	201	3	constructed	construct	VERB
ijassa-1167	201	4	for	for	ADP
ijassa-1167	201	5	the	the	DET
ijassa-1167	201	6	training	training	NOUN
ijassa-1167	201	7	set	set	VERB
ijassa-1167	201	8	in	in	ADP
ijassa-1167	201	9	fig	fig	NOUN
ijassa-1167	201	10	.	.	PUNCT
ijassa-1167	202	1	5.2	5.2	NUM
ijassa-1167	202	2	is	be	AUX
ijassa-1167	202	3	not	not	PART
ijassa-1167	202	4	shown	show	VERB
ijassa-1167	202	5	.	.	PUNCT
ijassa-1167	203	1	it	it	PRON
ijassa-1167	203	2	is	be	AUX
ijassa-1167	203	3	a	a	DET
ijassa-1167	203	4	mirror	mirror	NOUN
ijassa-1167	203	5	image	image	NOUN
ijassa-1167	203	6	of	of	ADP
ijassa-1167	203	7	the	the	DET
ijassa-1167	203	8	pop	pop	NOUN
ijassa-1167	203	9	constructed	construct	VERB
ijassa-1167	203	10	for	for	ADP
ijassa-1167	203	11	the	the	DET
ijassa-1167	203	12	training	training	NOUN
ijassa-1167	203	13	set	set	NOUN
ijassa-1167	203	14	(	(	PUNCT
ijassa-1167	203	15	dashed	dash	VERB
ijassa-1167	203	16	line	line	NOUN
ijassa-1167	203	17	)	)	PUNCT
ijassa-1167	203	18	.	.	PUNCT
ijassa-1167	204	1	round	round	ADJ
ijassa-1167	204	2	points	point	NOUN
ijassa-1167	204	3	near	near	ADP
ijassa-1167	204	4	pop	pop	NOUN
ijassa-1167	204	5	of	of	ADP
ijassa-1167	204	6	the	the	DET
ijassa-1167	204	7	first	first	ADJ
ijassa-1167	204	8	-	-	PUNCT
ijassa-1167	204	9	class	class	NOUN
ijassa-1167	204	10	–	–	PUNCT
ijassa-1167	204	11	estimates	estimate	NOUN
ijassa-1167	204	12	of	of	ADP
ijassa-1167	204	13	pop	pop	NOUN
ijassa-1167	204	14	by	by	ADP
ijassa-1167	204	15	approximating	approximate	VERB
ijassa-1167	204	16	adf	adf	NOUN
ijassa-1167	204	17	at	at	ADP
ijassa-1167	204	18	given	give	VERB
ijassa-1167	204	19	points	point	NOUN
ijassa-1167	204	20	;	;	PUNCT
ijassa-1167	204	21	crosses	crosse	NOUN
ijassa-1167	204	22	—	—	PUNCT
ijassa-1167	204	23	estimates	estimate	NOUN
ijassa-1167	204	24	of	of	ADP
ijassa-1167	204	25	pop	pop	NOUN
ijassa-1167	204	26	using	use	VERB
ijassa-1167	204	27	a	a	DET
ijassa-1167	204	28	second	second	ADJ
ijassa-1167	204	29	-	-	PUNCT
ijassa-1167	204	30	order	order	NOUN
ijassa-1167	204	31	polynomial	polynomial	NOUN
ijassa-1167	204	32	to	to	PART
ijassa-1167	204	33	approximate	approximate	VERB
ijassa-1167	204	34	the	the	DET
ijassa-1167	204	35	adf	adf	PROPN
ijassa-1167	204	36	.	.	PUNCT
ijassa-1167	205	1	5.2	5.2	NUM
ijassa-1167	205	2	.	.	PUNCT
ijassa-1167	205	3	approximation	approximation	NOUN
ijassa-1167	205	4	of	of	ADP
ijassa-1167	205	5	the	the	DET
ijassa-1167	205	6	adf	adf	PROPN
ijassa-1167	205	7	in	in	ADP
ijassa-1167	205	8	the	the	DET
ijassa-1167	205	9	vicinity	vicinity	NOUN
ijassa-1167	205	10	of	of	ADP
ijassa-1167	205	11	zero	zero	NUM
ijassa-1167	205	12	values	value	NOUN
ijassa-1167	205	13	when	when	SCONJ
ijassa-1167	205	14	choosing	choose	VERB
ijassa-1167	205	15	the	the	DET
ijassa-1167	205	16	type	type	NOUN
ijassa-1167	205	17	of	of	ADP
ijassa-1167	205	18	adf	adf	NOUN
ijassa-1167	205	19	approximating	approximate	VERB
ijassa-1167	205	20	dependence	dependence	NOUN
ijassa-1167	205	21	,	,	PUNCT
ijassa-1167	205	22	one	one	PRON
ijassa-1167	205	23	can	can	AUX
ijassa-1167	205	24	use	use	VERB
ijassa-1167	205	25	the	the	DET
ijassa-1167	205	26	features	feature	NOUN
ijassa-1167	205	27	,	,	PUNCT
ijassa-1167	205	28	according	accord	VERB
ijassa-1167	205	29	to	to	ADP
ijassa-1167	205	30	their	their	PRON
ijassa-1167	205	31	correlation	correlation	NOUN
ijassa-1167	205	32	coefficients	coefficient	NOUN
ijassa-1167	205	33	with	with	ADP
ijassa-1167	205	34	the	the	DET
ijassa-1167	205	35	desired	desire	VERB
ijassa-1167	205	36	value	value	NOUN
ijassa-1167	205	37	.	.	PUNCT
ijassa-1167	206	1	so	so	ADV
ijassa-1167	206	2	in	in	ADP
ijassa-1167	206	3	the	the	DET
ijassa-1167	206	4	example	example	NOUN
ijassa-1167	207	1	[	[	X
ijassa-1167	207	2	5	5	NUM
ijassa-1167	207	3	]	]	PUNCT
ijassa-1167	207	4	with	with	ADP
ijassa-1167	207	5	the	the	DET
ijassa-1167	207	6	dimension	dimension	NOUN
ijassa-1167	207	7	of	of	ADP
ijassa-1167	207	8	the	the	DET
ijassa-1167	207	9	feature	feature	NOUN
ijassa-1167	207	10	space	space	NOUN
ijassa-1167	207	11	of	of	ADP
ijassa-1167	207	12	217	217	NUM
ijassa-1167	207	13	,	,	PUNCT
ijassa-1167	207	14	the	the	DET
ijassa-1167	207	15	training	training	NOUN
ijassa-1167	207	16	set	set	NOUN
ijassa-1167	207	17	consisted	consist	VERB
ijassa-1167	207	18	of	of	ADP
ijassa-1167	207	19	only	only	ADV
ijassa-1167	207	20	252	252	NUM
ijassa-1167	207	21	lines	line	NOUN
ijassa-1167	207	22	.	.	PUNCT
ijassa-1167	208	1	three	three	NUM
ijassa-1167	208	2	were	be	AUX
ijassa-1167	208	3	selected	select	VERB
ijassa-1167	208	4	with	with	ADP
ijassa-1167	208	5	a	a	DET
ijassa-1167	208	6	correlation	correlation	NOUN
ijassa-1167	208	7	coefficient	coefficient	NOUN
ijassa-1167	208	8	estimates	estimate	NOUN
ijassa-1167	208	9	of	of	ADP
ijassa-1167	208	10	the	the	DET
ijassa-1167	208	11	desired	desire	VERB
ijassa-1167	208	12	value	value	NOUN
ijassa-1167	208	13	not	not	PART
ijassa-1167	208	14	lower	low	ADJ
ijassa-1167	208	15	than	than	ADP
ijassa-1167	208	16	0.64	0.64	NUM
ijassa-1167	208	17	and	and	CCONJ
ijassa-1167	208	18	with	with	ADP
ijassa-1167	208	19	a	a	DET
ijassa-1167	208	20	cross	cross	NOUN
ijassa-1167	208	21	-	-	NOUN
ijassa-1167	208	22	correlation	correlation	NOUN
ijassa-1167	208	23	,	,	PUNCT
ijassa-1167	208	24	not	not	PART
ijassa-1167	208	25	higher	high	ADJ
ijassa-1167	208	26	than	than	ADP
ijassa-1167	208	27	0.66	0.66	NUM
ijassa-1167	208	28	.	.	PUNCT
ijassa-1167	209	1	the	the	DET
ijassa-1167	209	2	classification	classification	NOUN
ijassa-1167	209	3	error	error	NOUN
ijassa-1167	209	4	according	accord	VERB
ijassa-1167	209	5	to	to	ADP
ijassa-1167	209	6	the	the	DET
ijassa-1167	209	7	adf	adf	NOUN
ijassa-1167	209	8	approximation	approximation	NOUN
ijassa-1167	209	9	in	in	ADP
ijassa-1167	209	10	the	the	DET
ijassa-1167	209	11	vicinity	vicinity	NOUN
ijassa-1167	209	12	of	of	ADP
ijassa-1167	209	13	the	the	DET
ijassa-1167	209	14	zeros	zero	NOUN
ijassa-1167	209	15	according	accord	VERB
ijassa-1167	209	16	to	to	ADP
ijassa-1167	209	17	the	the	DET
ijassa-1167	209	18	linear	linear	ADJ
ijassa-1167	209	19	approximation	approximation	NOUN
ijassa-1167	209	20	was	be	AUX
ijassa-1167	209	21	6.8	6.8	NUM
ijassa-1167	209	22	%	%	NOUN
ijassa-1167	209	23	,	,	PUNCT
ijassa-1167	209	24	according	accord	VERB
ijassa-1167	209	25	to	to	ADP
ijassa-1167	209	26	the	the	DET
ijassa-1167	209	27	second	second	ADJ
ijassa-1167	209	28	-	-	PUNCT
ijassa-1167	209	29	order	order	NOUN
ijassa-1167	209	30	polynomial	polynomial	ADJ
ijassa-1167	209	31	–	–	PUNCT
ijassa-1167	209	32	4.8	4.8	NUM
ijassa-1167	209	33	%	%	NOUN
ijassa-1167	209	34	.	.	PUNCT
ijassa-1167	210	1	for	for	ADP
ijassa-1167	210	2	comparison	comparison	NOUN
ijassa-1167	210	3	,	,	PUNCT
ijassa-1167	210	4	the	the	DET
ijassa-1167	210	5	classification	classification	NOUN
ijassa-1167	210	6	240	240	NUM
ijassa-1167	210	7	v.	v.	ADP
ijassa-1167	210	8	zenkov	zenkov	PROPN
ijassa-1167	210	9	copyright	copyright	NOUN
ijassa-1167	211	1	©	©	PROPN
ijassa-1167	211	2	2022	2022	NUM
ijassa-1167	211	3	assa	assa	PROPN
ijassa-1167	211	4	adv	adv	PROPN
ijassa-1167	211	5	.	.	PUNCT
ijassa-1167	212	1	in	in	ADP
ijassa-1167	212	2	systems	system	NOUN
ijassa-1167	212	3	science	science	NOUN
ijassa-1167	212	4	and	and	CCONJ
ijassa-1167	212	5	appl	appl	NOUN
ijassa-1167	212	6	.	.	PUNCT
ijassa-1167	213	1	(	(	PUNCT
ijassa-1167	213	2	2022	2022	NUM
ijassa-1167	213	3	)	)	PUNCT
ijassa-1167	213	4	method	method	NOUN
ijassa-1167	213	5	based	base	VERB
ijassa-1167	213	6	on	on	ADP
ijassa-1167	213	7	the	the	DET
ijassa-1167	213	8	hypothesis	hypothesis	NOUN
ijassa-1167	213	9	of	of	ADP
ijassa-1167	213	10	conditional	conditional	ADJ
ijassa-1167	213	11	normal	normal	ADJ
ijassa-1167	213	12	distributions	distribution	NOUN
ijassa-1167	213	13	of	of	ADP
ijassa-1167	213	14	the	the	DET
ijassa-1167	213	15	selected	select	VERB
ijassa-1167	213	16	features	feature	NOUN
ijassa-1167	213	17	of	of	ADP
ijassa-1167	213	18	the	the	DET
ijassa-1167	213	19	classes	class	NOUN
ijassa-1167	213	20	,	,	PUNCT
ijassa-1167	213	21	according	accord	VERB
ijassa-1167	213	22	to	to	ADP
ijassa-1167	213	23	the	the	DET
ijassa-1167	213	24	polynomial	polynomial	NOUN
ijassa-1167	213	25	and	and	CCONJ
ijassa-1167	213	26	according	accord	VERB
ijassa-1167	213	27	to	to	ADP
ijassa-1167	213	28	the	the	DET
ijassa-1167	213	29	linear	linear	PROPN
ijassa-1167	213	30	model	model	NOUN
ijassa-1167	213	31	,	,	PUNCT
ijassa-1167	213	32	was	be	AUX
ijassa-1167	213	33	10.3	10.3	NUM
ijassa-1167	213	34	%	%	NOUN
ijassa-1167	213	35	and	and	CCONJ
ijassa-1167	213	36	9.9	9.9	NUM
ijassa-1167	213	37	%	%	NOUN
ijassa-1167	213	38	,	,	PUNCT
ijassa-1167	213	39	respectively	respectively	ADV
ijassa-1167	213	40	.	.	PUNCT
ijassa-1167	214	1	we	we	PRON
ijassa-1167	214	2	made	make	VERB
ijassa-1167	214	3	[	[	X
ijassa-1167	214	4	7	7	X
ijassa-1167	214	5	]	]	X
ijassa-1167	214	6	a	a	DET
ijassa-1167	214	7	comparison	comparison	NOUN
ijassa-1167	214	8	on	on	ADP
ijassa-1167	214	9	15	15	NUM
ijassa-1167	214	10	examples	example	NOUN
ijassa-1167	214	11	of	of	ADP
ijassa-1167	214	12	the	the	DET
ijassa-1167	214	13	quality	quality	NOUN
ijassa-1167	214	14	of	of	ADP
ijassa-1167	214	15	solving	solve	VERB
ijassa-1167	214	16	classification	classification	NOUN
ijassa-1167	214	17	problems	problem	NOUN
ijassa-1167	214	18	by	by	ADP
ijassa-1167	214	19	the	the	DET
ijassa-1167	214	20	adf	adf	PROPN
ijassa-1167	214	21	approximation	approximation	NOUN
ijassa-1167	214	22	method	method	NOUN
ijassa-1167	214	23	in	in	ADP
ijassa-1167	214	24	the	the	DET
ijassa-1167	214	25	vicinity	vicinity	NOUN
ijassa-1167	214	26	of	of	ADP
ijassa-1167	214	27	zeros	zero	NOUN
ijassa-1167	214	28	and	and	CCONJ
ijassa-1167	214	29	the	the	DET
ijassa-1167	214	30	support	support	NOUN
ijassa-1167	214	31	vector	vector	NOUN
ijassa-1167	214	32	machine	machine	NOUN
ijassa-1167	214	33	method	method	NOUN
ijassa-1167	214	34	(	(	PUNCT
ijassa-1167	214	35	svm	svm	PROPN
ijassa-1167	214	36	)	)	PUNCT
ijassa-1167	214	37	for	for	ADP
ijassa-1167	214	38	linear	linear	PROPN
ijassa-1167	214	39	adf	adf	PROPN
ijassa-1167	214	40	approximation	approximation	NOUN
ijassa-1167	214	41	and	and	CCONJ
ijassa-1167	214	42	approximation	approximation	NOUN
ijassa-1167	214	43	by	by	ADP
ijassa-1167	214	44	a	a	DET
ijassa-1167	214	45	second	second	ADJ
ijassa-1167	214	46	-	-	PUNCT
ijassa-1167	214	47	order	order	NOUN
ijassa-1167	214	48	polynomial	polynomial	NOUN
ijassa-1167	214	49	at	at	ADP
ijassa-1167	214	50	equal	equal	ADJ
ijassa-1167	214	51	costs	cost	NOUN
ijassa-1167	214	52	of	of	ADP
ijassa-1167	214	53	classification	classification	NOUN
ijassa-1167	214	54	errors	error	NOUN
ijassa-1167	214	55	.	.	PUNCT
ijassa-1167	215	1	in	in	ADP
ijassa-1167	215	2	14	14	NUM
ijassa-1167	215	3	examples	example	NOUN
ijassa-1167	215	4	,	,	PUNCT
ijassa-1167	215	5	the	the	DET
ijassa-1167	215	6	first	first	ADJ
ijassa-1167	215	7	method	method	NOUN
ijassa-1167	215	8	gave	give	VERB
ijassa-1167	215	9	a	a	DET
ijassa-1167	215	10	lower	low	ADJ
ijassa-1167	215	11	classification	classification	NOUN
ijassa-1167	215	12	error	error	NOUN
ijassa-1167	215	13	than	than	ADP
ijassa-1167	215	14	the	the	DET
ijassa-1167	215	15	second	second	NOUN
ijassa-1167	215	16	.	.	PUNCT
ijassa-1167	216	1	a	a	DET
ijassa-1167	216	2	few	few	ADJ
ijassa-1167	216	3	examples	example	NOUN
ijassa-1167	216	4	may	may	AUX
ijassa-1167	216	5	not	not	PART
ijassa-1167	216	6	be	be	AUX
ijassa-1167	216	7	a	a	DET
ijassa-1167	216	8	sufficient	sufficient	ADJ
ijassa-1167	216	9	basis	basis	NOUN
ijassa-1167	216	10	for	for	ADP
ijassa-1167	216	11	judging	judge	VERB
ijassa-1167	216	12	the	the	DET
ijassa-1167	216	13	advantages	advantage	NOUN
ijassa-1167	216	14	of	of	ADP
ijassa-1167	216	15	one	one	NUM
ijassa-1167	216	16	method	method	NOUN
ijassa-1167	216	17	over	over	ADP
ijassa-1167	216	18	another	another	PRON
ijassa-1167	216	19	.	.	PUNCT
ijassa-1167	217	1	5.3	5.3	NUM
ijassa-1167	217	2	.	.	PUNCT
ijassa-1167	217	3	estimation	estimation	NOUN
ijassa-1167	217	4	of	of	ADP
ijassa-1167	217	5	the	the	DET
ijassa-1167	217	6	pop	pop	NOUN
ijassa-1167	217	7	of	of	ADP
ijassa-1167	217	8	the	the	DET
ijassa-1167	217	9	first	first	ADJ
ijassa-1167	217	10	class	class	NOUN
ijassa-1167	217	11	at	at	ADP
ijassa-1167	217	12	a	a	DET
ijassa-1167	217	13	point	point	NOUN
ijassa-1167	217	14	from	from	ADP
ijassa-1167	217	15	a	a	DET
ijassa-1167	217	16	series	series	NOUN
ijassa-1167	217	17	of	of	ADP
ijassa-1167	217	18	the	the	DET
ijassa-1167	217	19	adf	adf	PROPN
ijassa-1167	217	20	approximations	approximation	NOUN
ijassa-1167	217	21	as	as	ADP
ijassa-1167	217	22	a	a	DET
ijassa-1167	217	23	model	model	NOUN
ijassa-1167	217	24	example	example	NOUN
ijassa-1167	217	25	,	,	PUNCT
ijassa-1167	217	26	fig	fig	NOUN
ijassa-1167	217	27	.	.	PUNCT
ijassa-1167	218	1	5.3	5.3	NUM
ijassa-1167	218	2	,	,	PUNCT
ijassa-1167	218	3	[	[	X
ijassa-1167	218	4	6	6	NUM
ijassa-1167	218	5	]	]	PUNCT
ijassa-1167	218	6	the	the	DET
ijassa-1167	218	7	classification	classification	NOUN
ijassa-1167	218	8	problem	problem	NOUN
ijassa-1167	218	9	with	with	ADP
ijassa-1167	218	10	two	two	NUM
ijassa-1167	218	11	classes	class	NOUN
ijassa-1167	218	12	with	with	ADP
ijassa-1167	218	13	normal	normal	ADJ
ijassa-1167	218	14	conditional	conditional	ADJ
ijassa-1167	218	15	distributions	distribution	NOUN
ijassa-1167	218	16	of	of	ADP
ijassa-1167	218	17	class	class	NOUN
ijassa-1167	218	18	attributes	attribute	NOUN
ijassa-1167	218	19	in	in	ADP
ijassa-1167	218	20	a	a	DET
ijassa-1167	218	21	two	two	NUM
ijassa-1167	218	22	-	-	PUNCT
ijassa-1167	218	23	dimensional	dimensional	ADJ
ijassa-1167	218	24	space	space	NOUN
ijassa-1167	218	25	with	with	ADP
ijassa-1167	218	26	different	different	ADJ
ijassa-1167	218	27	covariance	covariance	NOUN
ijassa-1167	218	28	matrices	matrix	NOUN
ijassa-1167	218	29	was	be	AUX
ijassa-1167	218	30	considered	consider	VERB
ijassa-1167	218	31	.	.	PUNCT
ijassa-1167	219	1	the	the	DET
ijassa-1167	219	2	average	average	ADJ
ijassa-1167	219	3	values	value	NOUN
ijassa-1167	219	4	of	of	ADP
ijassa-1167	219	5	the	the	DET
ijassa-1167	219	6	features	feature	NOUN
ijassa-1167	219	7	of	of	ADP
ijassa-1167	219	8	the	the	DET
ijassa-1167	219	9	first	first	ADJ
ijassa-1167	219	10	class	class	NOUN
ijassa-1167	219	11			NOUN
ijassa-1167	219	12	1	1	ADJ
ijassa-1167	219	13	0	0	NUM
ijassa-1167	219	14	,	,	PUNCT
ijassa-1167	219	15	0	0	NUM
ijassa-1167	219	16	m	m	NOUN
ijassa-1167	219	17			NOUN
ijassa-1167	219	18	.	.	PUNCT
ijassa-1167	220	1	the	the	DET
ijassa-1167	220	2	covariance	covariance	NOUN
ijassa-1167	220	3	matrix	matrix	NOUN
ijassa-1167	220	4	is	be	AUX
ijassa-1167	220	5	1	1	NUM
ijassa-1167	220	6	(	(	PUNCT
ijassa-1167	220	7	(	(	PUNCT
ijassa-1167	220	8	1	1	NUM
ijassa-1167	220	9	,	,	PUNCT
ijassa-1167	220	10	0	0	NUM
ijassa-1167	220	11	)	)	PUNCT
ijassa-1167	220	12	;	;	PUNCT
ijassa-1167	220	13	(	(	PUNCT
ijassa-1167	220	14	0,1))s	0,1))s	X
ijassa-1167	220	15			VERB
ijassa-1167	220	16	.	.	PUNCT
ijassa-1167	221	1	for	for	ADP
ijassa-1167	221	2	the	the	DET
ijassa-1167	221	3	second	second	ADJ
ijassa-1167	221	4	class	class	NOUN
ijassa-1167	221	5	:	:	PUNCT
ijassa-1167	221	6			NOUN
ijassa-1167	221	7	2	2	ADJ
ijassa-1167	221	8	0	0	NUM
ijassa-1167	221	9	,	,	PUNCT
ijassa-1167	221	10	2	2	NUM
ijassa-1167	221	11	m	m	NOUN
ijassa-1167	221	12			NUM
ijassa-1167	221	13	,	,	PUNCT
ijassa-1167	221	14	2	2	NUM
ijassa-1167	221	15	(	(	PUNCT
ijassa-1167	221	16	(	(	PUNCT
ijassa-1167	221	17	4,1	4,1	NOUN
ijassa-1167	221	18	)	)	PUNCT
ijassa-1167	221	19	;	;	PUNCT
ijassa-1167	221	20	(	(	PUNCT
ijassa-1167	221	21	1,1))s	1,1))s	X
ijassa-1167	221	22			NOUN
ijassa-1167	221	23	.	.	PUNCT
ijassa-1167	222	1	the	the	DET
ijassa-1167	222	2	prior	prior	ADJ
ijassa-1167	222	3	probabilities	probability	NOUN
ijassa-1167	222	4	of	of	ADP
ijassa-1167	222	5	the	the	DET
ijassa-1167	222	6	classes	class	NOUN
ijassa-1167	222	7	are	be	AUX
ijassa-1167	222	8	1	1	NUM
ijassa-1167	222	9	0,6p	0,6p	NUM
ijassa-1167	223	1			NUM
ijassa-1167	223	2	,	,	PUNCT
ijassa-1167	223	3	2	2	NUM
ijassa-1167	223	4	0,4p	0,4p	NUM
ijassa-1167	223	5			NOUN
ijassa-1167	223	6	.	.	PUNCT
ijassa-1167	224	1	fig	fig	NOUN
ijassa-1167	224	2	.	.	PUNCT
ijassa-1167	225	1	5.3	5.3	NUM
ijassa-1167	225	2	based	base	VERB
ijassa-1167	225	3	on	on	ADP
ijassa-1167	225	4	the	the	DET
ijassa-1167	225	5	initial	initial	ADJ
ijassa-1167	225	6	data	datum	NOUN
ijassa-1167	225	7	and	and	CCONJ
ijassa-1167	225	8	the	the	DET
ijassa-1167	225	9	generated	generate	VERB
ijassa-1167	225	10	set	set	NOUN
ijassa-1167	225	11	of	of	ADP
ijassa-1167	225	12	500	500	NUM
ijassa-1167	225	13	points	point	NOUN
ijassa-1167	225	14	,	,	PUNCT
ijassa-1167	225	15	the	the	DET
ijassa-1167	225	16	pop	pop	NOUN
ijassa-1167	225	17	of	of	ADP
ijassa-1167	225	18	the	the	DET
ijassa-1167	225	19	first	first	ADJ
ijassa-1167	225	20	class	class	NOUN
ijassa-1167	225	21	was	be	AUX
ijassa-1167	225	22	calculated	calculate	VERB
ijassa-1167	225	23	in	in	ADP
ijassa-1167	225	24	the	the	DET
ijassa-1167	225	25	following	following	ADJ
ijassa-1167	225	26	ways	way	NOUN
ijassa-1167	225	27	:	:	PUNCT
ijassa-1167	225	28	1	1	NUM
ijassa-1167	225	29	.	.	PUNCT
ijassa-1167	225	30	exact	exact	ADJ
ijassa-1167	225	31	according	accord	VERB
ijassa-1167	225	32	to	to	ADP
ijassa-1167	225	33	the	the	DET
ijassa-1167	225	34	known	know	VERB
ijassa-1167	225	35	distributions	distribution	NOUN
ijassa-1167	225	36	according	accord	VERB
ijassa-1167	225	37	to	to	ADP
ijassa-1167	225	38	the	the	DET
ijassa-1167	225	39	bayes	bayes	NOUN
ijassa-1167	225	40	formula	formula	NOUN
ijassa-1167	225	41	;	;	PUNCT
ijassa-1167	225	42	2	2	X
ijassa-1167	225	43	.	.	X
ijassa-1167	225	44	sample	sample	NOUN
ijassa-1167	225	45	based	base	VERB
ijassa-1167	225	46	on	on	ADP
ijassa-1167	225	47	sample	sample	NOUN
ijassa-1167	225	48	estimates	estimate	NOUN
ijassa-1167	225	49	of	of	ADP
ijassa-1167	225	50	distribution	distribution	NOUN
ijassa-1167	225	51	parameters	parameter	NOUN
ijassa-1167	225	52	using	use	VERB
ijassa-1167	225	53	bayes	baye	NOUN
ijassa-1167	225	54	'	'	PART
ijassa-1167	225	55	formula	formula	NOUN
ijassa-1167	225	56	for	for	ADP
ijassa-1167	225	57	calculating	calculate	VERB
ijassa-1167	225	58	pop	pop	NOUN
ijassa-1167	225	59	of	of	ADP
ijassa-1167	225	60	the	the	DET
ijassa-1167	225	61	first	first	ADJ
ijassa-1167	225	62	class	class	NOUN
ijassa-1167	225	63	;	;	PUNCT
ijassa-1167	225	64	3	3	X
ijassa-1167	225	65	.	.	X
ijassa-1167	225	66	inter	inter	ADJ
ijassa-1167	225	67	-	-	NOUN
ijassa-1167	225	68	extrapolation	extrapolation	NOUN
ijassa-1167	225	69	for	for	ADP
ijassa-1167	225	70	the	the	DET
ijassa-1167	225	71	series	series	NOUN
ijassa-1167	225	72	of	of	ADP
ijassa-1167	225	73	the	the	DET
ijassa-1167	225	74	adf	adf	PROPN
ijassa-1167	225	75	approximated	approximate	VERB
ijassa-1167	225	76	by	by	ADP
ijassa-1167	225	77	a	a	DET
ijassa-1167	225	78	second	second	ADJ
ijassa-1167	225	79	-	-	PUNCT
ijassa-1167	225	80	order	order	NOUN
ijassa-1167	225	81	polynomial	polynomial	ADJ
ijassa-1167	225	82	;	;	PUNCT
ijassa-1167	225	83	4	4	X
ijassa-1167	225	84	.	.	X
ijassa-1167	225	85	by	by	ADP
ijassa-1167	225	86	the	the	DET
ijassa-1167	225	87	method	method	NOUN
ijassa-1167	225	88	of	of	ADP
ijassa-1167	225	89	smoothing	smooth	VERB
ijassa-1167	225	90	according	accord	VERB
ijassa-1167	225	91	to	to	ADP
ijassa-1167	225	92	the	the	DET
ijassa-1167	225	93	series	series	NOUN
ijassa-1167	225	94	of	of	ADP
ijassa-1167	225	95	adf	adf	PROPN
ijassa-1167	225	96	approximations	approximation	NOUN
ijassa-1167	225	97	.	.	PUNCT
ijassa-1167	226	1	a	a	DET
ijassa-1167	226	2	series	series	NOUN
ijassa-1167	226	3	of	of	ADP
ijassa-1167	226	4	the	the	DET
ijassa-1167	226	5	adf	adf	PROPN
ijassa-1167	226	6	approximations	approximation	NOUN
ijassa-1167	226	7	is	be	AUX
ijassa-1167	226	8	built	build	VERB
ijassa-1167	226	9	for	for	ADP
ijassa-1167	226	10	p	p	PROPN
ijassa-1167	226	11	*	*	NOUN
ijassa-1167	226	12	values	value	NOUN
ijassa-1167	226	13	from	from	ADP
ijassa-1167	226	14	0.95	0.95	NUM
ijassa-1167	226	15	to	to	PART
ijassa-1167	226	16	0.05	0.05	NUM
ijassa-1167	226	17	with	with	ADP
ijassa-1167	226	18	a	a	DET
ijassa-1167	226	19	step	step	NOUN
ijassa-1167	226	20	of	of	ADP
ijassa-1167	226	21	0.1	0.1	NUM
ijassa-1167	226	22	.	.	PUNCT
ijassa-1167	227	1	circles	circle	NOUN
ijassa-1167	227	2	are	be	AUX
ijassa-1167	227	3	points	point	NOUN
ijassa-1167	227	4	of	of	ADP
ijassa-1167	227	5	the	the	DET
ijassa-1167	227	6	first	first	ADJ
ijassa-1167	227	7	class	class	NOUN
ijassa-1167	227	8	,	,	PUNCT
ijassa-1167	227	9	crosses	crosse	NOUN
ijassa-1167	227	10	are	be	AUX
ijassa-1167	227	11	of	of	ADP
ijassa-1167	227	12	the	the	DET
ijassa-1167	227	13	second	second	NOUN
ijassa-1167	227	14	.	.	PUNCT
ijassa-1167	228	1	the	the	DET
ijassa-1167	228	2	root	root	NOUN
ijassa-1167	228	3	-	-	PUNCT
ijassa-1167	228	4	mean	mean	ADJ
ijassa-1167	228	5	-	-	PUNCT
ijassa-1167	228	6	square	square	NOUN
ijassa-1167	228	7	error	error	NOUN
ijassa-1167	228	8	estimate	estimate	NOUN
ijassa-1167	228	9	of	of	ADP
ijassa-1167	228	10	the	the	DET
ijassa-1167	228	11	pop	pop	NOUN
ijassa-1167	228	12	of	of	ADP
ijassa-1167	228	13	the	the	DET
ijassa-1167	228	14	first	first	ADJ
ijassa-1167	228	15	class	class	NOUN
ijassa-1167	228	16	for	for	ADP
ijassa-1167	228	17	the	the	DET
ijassa-1167	228	18	training	training	NOUN
ijassa-1167	228	19	set	set	VERB
ijassa-1167	228	20	by	by	ADP
ijassa-1167	228	21	the	the	DET
ijassa-1167	228	22	interpolation	interpolation	NOUN
ijassa-1167	228	23	method	method	NOUN
ijassa-1167	228	24	for	for	ADP
ijassa-1167	228	25	a	a	DET
ijassa-1167	228	26	series	series	NOUN
ijassa-1167	228	27	of	of	ADP
ijassa-1167	228	28	adf	adf	PROPN
ijassa-1167	228	29	approximations	approximation	NOUN
ijassa-1167	228	30	was	be	AUX
ijassa-1167	228	31	0.055	0.055	NUM
ijassa-1167	228	32	.	.	PUNCT
ijassa-1167	229	1	the	the	DET
ijassa-1167	229	2	error	error	NOUN
ijassa-1167	229	3	in	in	ADP
ijassa-1167	229	4	its	its	PRON
ijassa-1167	229	5	estimation	estimation	NOUN
ijassa-1167	229	6	by	by	ADP
ijassa-1167	229	7	the	the	DET
ijassa-1167	229	8	smoothing	smoothing	NOUN
ijassa-1167	229	9	method	method	NOUN
ijassa-1167	229	10	was	be	AUX
ijassa-1167	229	11	0.06	0.06	NUM
ijassa-1167	229	12	.	.	PUNCT
ijassa-1167	230	1	the	the	DET
ijassa-1167	230	2	error	error	NOUN
ijassa-1167	230	3	in	in	ADP
ijassa-1167	230	4	estimating	estimate	VERB
ijassa-1167	230	5	pop	pop	NOUN
ijassa-1167	230	6	of	of	ADP
ijassa-1167	230	7	the	the	DET
ijassa-1167	230	8	first	first	ADJ
ijassa-1167	230	9	class	class	NOUN
ijassa-1167	230	10	based	base	VERB
ijassa-1167	230	11	on	on	ADP
ijassa-1167	230	12	sample	sample	NOUN
ijassa-1167	230	13	estimates	estimate	NOUN
ijassa-1167	230	14	of	of	ADP
ijassa-1167	230	15	feature	feature	NOUN
ijassa-1167	230	16	distributions	distribution	NOUN
ijassa-1167	230	17	and	and	CCONJ
ijassa-1167	230	18	using	use	VERB
ijassa-1167	230	19	bayes	baye	NOUN
ijassa-1167	230	20	'	'	PART
ijassa-1167	230	21	formulas	formula	NOUN
ijassa-1167	230	22	was	be	AUX
ijassa-1167	230	23	0.02	0.02	NUM
ijassa-1167	230	24	,	,	PUNCT
ijassa-1167	230	25	i.e.	i.e.	X
ijassa-1167	230	26	three	three	NUM
ijassa-1167	230	27	times	time	NOUN
ijassa-1167	230	28	less	less	ADJ
ijassa-1167	230	29	.	.	PUNCT
ijassa-1167	231	1	but	but	CCONJ
ijassa-1167	231	2	in	in	ADP
ijassa-1167	231	3	justification	justification	NOUN
ijassa-1167	231	4	of	of	ADP
ijassa-1167	231	5	estimation	estimation	NOUN
ijassa-1167	231	6	of	of	ADP
ijassa-1167	231	7	the	the	DET
ijassa-1167	231	8	posterior	posterior	ADJ
ijassa-1167	231	9	probabilities	probability	NOUN
ijassa-1167	231	10	of	of	ADP
ijassa-1167	231	11	classes	class	NOUN
ijassa-1167	231	12	…	…	PUNCT
ijassa-1167	231	13	241	241	NUM
ijassa-1167	231	14	copyright	copyright	NOUN
ijassa-1167	231	15	©	©	PROPN
ijassa-1167	231	16	2022	2022	NUM
ijassa-1167	231	17	assa	assa	NOUN
ijassa-1167	231	18	.	.	PUNCT
ijassa-1167	232	1	adv	adv	PROPN
ijassa-1167	232	2	.	.	PUNCT
ijassa-1167	233	1	in	in	ADP
ijassa-1167	233	2	systems	system	NOUN
ijassa-1167	233	3	science	science	NOUN
ijassa-1167	233	4	and	and	CCONJ
ijassa-1167	233	5	appl	appl	NOUN
ijassa-1167	233	6	.	.	PUNCT
ijassa-1167	234	1	(	(	PUNCT
ijassa-1167	234	2	2022	2022	NUM
ijassa-1167	234	3	)	)	PUNCT
ijassa-1167	234	4	other	other	ADJ
ijassa-1167	234	5	methods	method	NOUN
ijassa-1167	234	6	,	,	PUNCT
ijassa-1167	234	7	it	it	PRON
ijassa-1167	234	8	should	should	AUX
ijassa-1167	234	9	be	be	AUX
ijassa-1167	234	10	remembered	remember	VERB
ijassa-1167	234	11	that	that	SCONJ
ijassa-1167	234	12	they	they	PRON
ijassa-1167	234	13	do	do	AUX
ijassa-1167	234	14	not	not	PART
ijassa-1167	234	15	require	require	VERB
ijassa-1167	234	16	knowledge	knowledge	NOUN
ijassa-1167	234	17	of	of	ADP
ijassa-1167	234	18	the	the	DET
ijassa-1167	234	19	laws	law	NOUN
ijassa-1167	234	20	of	of	ADP
ijassa-1167	234	21	distribution	distribution	NOUN
ijassa-1167	234	22	of	of	ADP
ijassa-1167	234	23	the	the	DET
ijassa-1167	234	24	features	feature	NOUN
ijassa-1167	234	25	of	of	ADP
ijassa-1167	234	26	classes	class	NOUN
ijassa-1167	234	27	.	.	PUNCT
ijassa-1167	235	1	6	6	X
ijassa-1167	235	2	.	.	X
ijassa-1167	235	3	conclusion	conclusion	NOUN
ijassa-1167	235	4	approximation	approximation	NOUN
ijassa-1167	235	5	of	of	ADP
ijassa-1167	235	6	the	the	DET
ijassa-1167	235	7	anderson	anderson	PROPN
ijassa-1167	235	8	discriminant	discriminant	PROPN
ijassa-1167	235	9	function	function	PROPN
ijassa-1167	235	10	based	base	VERB
ijassa-1167	235	11	on	on	ADP
ijassa-1167	235	12	a	a	DET
ijassa-1167	235	13	supervised	supervised	ADJ
ijassa-1167	235	14	training	training	NOUN
ijassa-1167	235	15	set	set	NOUN
ijassa-1167	235	16	allows	allow	VERB
ijassa-1167	235	17	you	you	PRON
ijassa-1167	235	18	to	to	PART
ijassa-1167	235	19	simultaneously	simultaneously	ADV
ijassa-1167	235	20	find	find	VERB
ijassa-1167	235	21	estimates	estimate	NOUN
ijassa-1167	235	22	of	of	ADP
ijassa-1167	235	23	the	the	DET
ijassa-1167	235	24	posterior	posterior	ADJ
ijassa-1167	235	25	probabilities	probability	NOUN
ijassa-1167	235	26	of	of	ADP
ijassa-1167	235	27	classes	class	NOUN
ijassa-1167	235	28	of	of	ADP
ijassa-1167	235	29	classified	classified	ADJ
ijassa-1167	235	30	objects	object	NOUN
ijassa-1167	235	31	.	.	PUNCT
ijassa-1167	236	1	the	the	DET
ijassa-1167	236	2	posterior	posterior	ADJ
ijassa-1167	236	3	probabilities	probability	NOUN
ijassa-1167	236	4	of	of	ADP
ijassa-1167	236	5	the	the	DET
ijassa-1167	236	6	classes	class	NOUN
ijassa-1167	236	7	are	be	AUX
ijassa-1167	236	8	comprehensive	comprehensive	ADJ
ijassa-1167	236	9	information	information	NOUN
ijassa-1167	236	10	for	for	ADP
ijassa-1167	236	11	solving	solve	VERB
ijassa-1167	236	12	the	the	DET
ijassa-1167	236	13	problem	problem	NOUN
ijassa-1167	236	14	of	of	ADP
ijassa-1167	236	15	classification	classification	NOUN
ijassa-1167	236	16	according	accord	VERB
ijassa-1167	236	17	to	to	ADP
ijassa-1167	236	18	various	various	ADJ
ijassa-1167	236	19	criteria	criterion	NOUN
ijassa-1167	236	20	.	.	PUNCT
ijassa-1167	237	1	the	the	DET
ijassa-1167	237	2	supervised	supervised	ADJ
ijassa-1167	237	3	training	training	NOUN
ijassa-1167	237	4	set	set	NOUN
ijassa-1167	237	5	of	of	ADP
ijassa-1167	237	6	the	the	DET
ijassa-1167	237	7	classification	classification	NOUN
ijassa-1167	237	8	problem	problem	NOUN
ijassa-1167	237	9	is	be	AUX
ijassa-1167	237	10	transformed	transform	VERB
ijassa-1167	237	11	into	into	ADP
ijassa-1167	237	12	a	a	DET
ijassa-1167	237	13	training	training	NOUN
ijassa-1167	237	14	set	set	NOUN
ijassa-1167	237	15	of	of	ADP
ijassa-1167	237	16	the	the	DET
ijassa-1167	237	17	regression	regression	NOUN
ijassa-1167	237	18	analysis	analysis	NOUN
ijassa-1167	237	19	problem	problem	NOUN
ijassa-1167	237	20	by	by	ADP
ijassa-1167	237	21	replacing	replace	VERB
ijassa-1167	237	22	the	the	DET
ijassa-1167	237	23	class	class	NOUN
ijassa-1167	237	24	numbers	number	NOUN
ijassa-1167	237	25	in	in	ADP
ijassa-1167	237	26	the	the	DET
ijassa-1167	237	27	training	training	NOUN
ijassa-1167	237	28	set	set	VERB
ijassa-1167	237	29	with	with	ADP
ijassa-1167	237	30	the	the	DET
ijassa-1167	237	31	corresponding	correspond	VERB
ijassa-1167	237	32	differences	difference	NOUN
ijassa-1167	237	33	with	with	ADP
ijassa-1167	237	34	the	the	DET
ijassa-1167	237	35	costs	cost	NOUN
ijassa-1167	237	36	of	of	ADP
ijassa-1167	237	37	classification	classification	NOUN
ijassa-1167	237	38	errors	error	NOUN
ijassa-1167	237	39	,	,	PUNCT
ijassa-1167	237	40	set	set	VERB
ijassa-1167	237	41	arbitrarily	arbitrarily	ADV
ijassa-1167	237	42	at	at	ADP
ijassa-1167	237	43	the	the	DET
ijassa-1167	237	44	training	training	NOUN
ijassa-1167	237	45	stage	stage	NOUN
ijassa-1167	237	46	to	to	PART
ijassa-1167	237	47	determine	determine	VERB
ijassa-1167	237	48	the	the	DET
ijassa-1167	237	49	approximations	approximation	NOUN
ijassa-1167	237	50	of	of	ADP
ijassa-1167	237	51	the	the	DET
ijassa-1167	237	52	anderson	anderson	PROPN
ijassa-1167	237	53	discriminant	discriminant	PROPN
ijassa-1167	237	54	function	function	PROPN
ijassa-1167	237	55	.	.	PUNCT
ijassa-1167	238	1	at	at	ADP
ijassa-1167	238	2	the	the	DET
ijassa-1167	238	3	second	second	ADJ
ijassa-1167	238	4	stage	stage	NOUN
ijassa-1167	238	5	of	of	ADP
ijassa-1167	238	6	solving	solve	VERB
ijassa-1167	238	7	the	the	DET
ijassa-1167	238	8	problem	problem	NOUN
ijassa-1167	238	9	,	,	PUNCT
ijassa-1167	238	10	according	accord	VERB
ijassa-1167	238	11	to	to	ADP
ijassa-1167	238	12	the	the	DET
ijassa-1167	238	13	estimates	estimate	NOUN
ijassa-1167	238	14	of	of	ADP
ijassa-1167	238	15	the	the	DET
ijassa-1167	238	16	objective	objective	ADJ
ijassa-1167	238	17	posterior	posterior	ADJ
ijassa-1167	238	18	probabilities	probability	NOUN
ijassa-1167	238	19	of	of	ADP
ijassa-1167	238	20	classes	class	NOUN
ijassa-1167	238	21	,	,	PUNCT
ijassa-1167	238	22	the	the	DET
ijassa-1167	238	23	actual	actual	ADJ
ijassa-1167	238	24	classification	classification	NOUN
ijassa-1167	238	25	of	of	ADP
ijassa-1167	238	26	the	the	DET
ijassa-1167	238	27	object	object	NOUN
ijassa-1167	238	28	is	be	AUX
ijassa-1167	238	29	performed	perform	VERB
ijassa-1167	238	30	according	accord	VERB
ijassa-1167	238	31	to	to	ADP
ijassa-1167	238	32	the	the	DET
ijassa-1167	238	33	subjectively	subjectively	ADV
ijassa-1167	238	34	specified	specify	VERB
ijassa-1167	238	35	classification	classification	NOUN
ijassa-1167	238	36	criteria	criterion	NOUN
ijassa-1167	238	37	.	.	PUNCT
ijassa-1167	239	1	methods	method	NOUN
ijassa-1167	239	2	for	for	ADP
ijassa-1167	239	3	solving	solve	VERB
ijassa-1167	239	4	the	the	DET
ijassa-1167	239	5	problem	problem	NOUN
ijassa-1167	239	6	related	relate	VERB
ijassa-1167	239	7	to	to	ADP
ijassa-1167	239	8	the	the	DET
ijassa-1167	239	9	use	use	NOUN
ijassa-1167	239	10	of	of	ADP
ijassa-1167	239	11	nonparametric	nonparametric	NOUN
ijassa-1167	239	12	and	and	CCONJ
ijassa-1167	239	13	parametric	parametric	ADJ
ijassa-1167	239	14	approaches	approach	NOUN
ijassa-1167	239	15	are	be	AUX
ijassa-1167	239	16	proposed	propose	VERB
ijassa-1167	239	17	.	.	PUNCT
ijassa-1167	240	1	with	with	ADP
ijassa-1167	240	2	the	the	DET
ijassa-1167	240	3	nonparametric	nonparametric	NOUN
ijassa-1167	240	4	approach	approach	NOUN
ijassa-1167	240	5	,	,	PUNCT
ijassa-1167	240	6	to	to	PART
ijassa-1167	240	7	approximate	approximate	VERB
ijassa-1167	240	8	the	the	DET
ijassa-1167	240	9	anderson	anderson	PROPN
ijassa-1167	240	10	discriminant	discriminant	PROPN
ijassa-1167	240	11	function	function	VERB
ijassa-1167	240	12	at	at	ADP
ijassa-1167	240	13	a	a	DET
ijassa-1167	240	14	point	point	NOUN
ijassa-1167	240	15	in	in	ADP
ijassa-1167	240	16	the	the	DET
ijassa-1167	240	17	class	class	NOUN
ijassa-1167	240	18	feature	feature	NOUN
ijassa-1167	240	19	space	space	NOUN
ijassa-1167	240	20	representing	represent	VERB
ijassa-1167	240	21	the	the	DET
ijassa-1167	240	22	classified	classified	ADJ
ijassa-1167	240	23	object	object	NOUN
ijassa-1167	240	24	,	,	PUNCT
ijassa-1167	240	25	a	a	DET
ijassa-1167	240	26	training	training	NOUN
ijassa-1167	240	27	set	set	NOUN
ijassa-1167	240	28	is	be	AUX
ijassa-1167	240	29	used	use	VERB
ijassa-1167	240	30	for	for	ADP
ijassa-1167	240	31	each	each	DET
ijassa-1167	240	32	classified	classified	ADJ
ijassa-1167	240	33	point	point	NOUN
ijassa-1167	240	34	,	,	PUNCT
ijassa-1167	240	35	which	which	PRON
ijassa-1167	240	36	may	may	AUX
ijassa-1167	240	37	be	be	AUX
ijassa-1167	240	38	unacceptable	unacceptable	ADJ
ijassa-1167	240	39	for	for	ADP
ijassa-1167	240	40	larger	large	ADJ
ijassa-1167	240	41	set	set	VERB
ijassa-1167	240	42	sizes	size	NOUN
ijassa-1167	240	43	and	and	CCONJ
ijassa-1167	240	44	with	with	ADP
ijassa-1167	240	45	certain	certain	ADJ
ijassa-1167	240	46	performance	performance	NOUN
ijassa-1167	240	47	requirements	requirement	NOUN
ijassa-1167	240	48	.	.	PUNCT
ijassa-1167	241	1	for	for	ADP
ijassa-1167	241	2	a	a	DET
ijassa-1167	241	3	non	non	ADJ
ijassa-1167	241	4	-	-	ADJ
ijassa-1167	241	5	parametric	parametric	ADJ
ijassa-1167	241	6	approach	approach	NOUN
ijassa-1167	241	7	a	a	DET
ijassa-1167	241	8	rather	rather	ADV
ijassa-1167	241	9	linear	linear	ADJ
ijassa-1167	241	10	approximating	approximate	VERB
ijassa-1167	241	11	function	function	NOUN
ijassa-1167	241	12	.	.	PUNCT
ijassa-1167	242	1	in	in	ADP
ijassa-1167	242	2	parametric	parametric	ADJ
ijassa-1167	242	3	approaches	approach	NOUN
ijassa-1167	242	4	,	,	PUNCT
ijassa-1167	242	5	weighted	weight	VERB
ijassa-1167	242	6	least	least	ADJ
ijassa-1167	242	7	squares	square	NOUN
ijassa-1167	242	8	are	be	AUX
ijassa-1167	242	9	used	use	VERB
ijassa-1167	242	10	to	to	PART
ijassa-1167	242	11	obtain	obtain	VERB
ijassa-1167	242	12	a	a	DET
ijassa-1167	242	13	more	more	ADV
ijassa-1167	242	14	accurate	accurate	ADJ
ijassa-1167	242	15	approximation	approximation	NOUN
ijassa-1167	242	16	of	of	ADP
ijassa-1167	242	17	a	a	DET
ijassa-1167	242	18	function	function	NOUN
ijassa-1167	242	19	in	in	ADP
ijassa-1167	242	20	the	the	DET
ijassa-1167	242	21	vicinity	vicinity	NOUN
ijassa-1167	242	22	of	of	ADP
ijassa-1167	242	23	its	its	PRON
ijassa-1167	242	24	zero	zero	NUM
ijassa-1167	242	25	values	value	NOUN
ijassa-1167	242	26	.	.	PUNCT
ijassa-1167	243	1	in	in	ADP
ijassa-1167	243	2	another	another	DET
ijassa-1167	243	3	parametric	parametric	ADJ
ijassa-1167	243	4	approach	approach	NOUN
ijassa-1167	243	5	,	,	PUNCT
ijassa-1167	243	6	a	a	DET
ijassa-1167	243	7	series	series	NOUN
ijassa-1167	243	8	of	of	ADP
ijassa-1167	243	9	approximations	approximation	NOUN
ijassa-1167	243	10	of	of	ADP
ijassa-1167	243	11	the	the	DET
ijassa-1167	243	12	anderson	anderson	PROPN
ijassa-1167	243	13	discriminant	discriminant	PROPN
ijassa-1167	243	14	functions	function	NOUN
ijassa-1167	243	15	are	be	AUX
ijassa-1167	243	16	constructed	construct	VERB
ijassa-1167	243	17	from	from	ADP
ijassa-1167	243	18	a	a	DET
ijassa-1167	243	19	given	give	VERB
ijassa-1167	243	20	set	set	NOUN
ijassa-1167	243	21	of	of	ADP
ijassa-1167	243	22	a	a	DET
ijassa-1167	243	23	posteriori	posteriori	NOUN
ijassa-1167	243	24	probabilities	probability	NOUN
ijassa-1167	243	25	on	on	ADP
ijassa-1167	243	26	the	the	DET
ijassa-1167	243	27	class	class	NOUN
ijassa-1167	243	28	boundaries	boundary	NOUN
ijassa-1167	243	29	.	.	PUNCT
ijassa-1167	244	1	then	then	ADV
ijassa-1167	244	2	,	,	PUNCT
ijassa-1167	244	3	for	for	ADP
ijassa-1167	244	4	the	the	DET
ijassa-1167	244	5	classified	classified	ADJ
ijassa-1167	244	6	point	point	NOUN
ijassa-1167	244	7	,	,	PUNCT
ijassa-1167	244	8	the	the	DET
ijassa-1167	244	9	posterior	posterior	ADJ
ijassa-1167	244	10	probabilities	probability	NOUN
ijassa-1167	244	11	of	of	ADP
ijassa-1167	244	12	the	the	DET
ijassa-1167	244	13	classes	class	NOUN
ijassa-1167	244	14	are	be	AUX
ijassa-1167	244	15	found	find	VERB
ijassa-1167	244	16	using	use	VERB
ijassa-1167	244	17	the	the	DET
ijassa-1167	244	18	interpolation	interpolation	NOUN
ijassa-1167	244	19	method	method	NOUN
ijassa-1167	244	20	or	or	CCONJ
ijassa-1167	244	21	the	the	DET
ijassa-1167	244	22	smoothing	smoothing	NOUN
ijassa-1167	244	23	method	method	NOUN
ijassa-1167	244	24	.	.	PUNCT
ijassa-1167	245	1	methods	method	NOUN
ijassa-1167	245	2	are	be	AUX
ijassa-1167	245	3	demonstrated	demonstrate	VERB
ijassa-1167	245	4	by	by	ADP
ijassa-1167	245	5	examples	example	NOUN
ijassa-1167	245	6	.	.	PUNCT
ijassa-1167	246	1	references	reference	NOUN
ijassa-1167	246	2	1	1	NUM
ijassa-1167	246	3	.	.	PUNCT
ijassa-1167	247	1	platt	platt	PROPN
ijassa-1167	247	2	,	,	PUNCT
ijassa-1167	247	3	j.	j.	PROPN
ijassa-1167	247	4	(	(	PUNCT
ijassa-1167	247	5	2000	2000	NUM
ijassa-1167	247	6	)	)	PUNCT
ijassa-1167	247	7	.	.	PUNCT
ijassa-1167	248	1	probabilistic	probabilistic	ADJ
ijassa-1167	248	2	outputs	output	NOUN
ijassa-1167	248	3	for	for	ADP
ijassa-1167	248	4	support	support	NOUN
ijassa-1167	248	5	vector	vector	NOUN
ijassa-1167	248	6	machines	machine	NOUN
ijassa-1167	248	7	and	and	CCONJ
ijassa-1167	248	8	comparisons	comparison	NOUN
ijassa-1167	248	9	to	to	ADP
ijassa-1167	248	10	regularized	regularize	VERB
ijassa-1167	248	11	likelihood	likelihood	NOUN
ijassa-1167	248	12	methods	method	NOUN
ijassa-1167	248	13	,	,	PUNCT
ijassa-1167	248	14	advances	advance	NOUN
ijassa-1167	248	15	in	in	ADP
ijassa-1167	248	16	large	large	ADJ
ijassa-1167	248	17	margin	margin	NOUN
ijassa-1167	248	18	classifiers	classifier	NOUN
ijassa-1167	248	19	,	,	PUNCT
ijassa-1167	248	20	10(3	10(3	NUM
ijassa-1167	248	21	)	)	PUNCT
ijassa-1167	248	22	,	,	PUNCT
ijassa-1167	248	23	61–74	61–74	NUM
ijassa-1167	248	24	.	.	PUNCT
ijassa-1167	249	1	2	2	NUM
ijassa-1167	249	2	.	.	X
ijassa-1167	249	3	anderson	anderson	PROPN
ijassa-1167	249	4	,	,	PUNCT
ijassa-1167	249	5	t.w	t.w	PROPN
ijassa-1167	249	6	.	.	PROPN
ijassa-1167	249	7	(	(	PUNCT
ijassa-1167	249	8	2003	2003	NUM
ijassa-1167	249	9	)	)	PUNCT
ijassa-1167	249	10	an	an	DET
ijassa-1167	249	11	introduction	introduction	NOUN
ijassa-1167	249	12	to	to	PART
ijassa-1167	249	13	multivariate	multivariate	VERB
ijassa-1167	249	14	statistical	statistical	ADJ
ijassa-1167	249	15	analysis	analysis	NOUN
ijassa-1167	249	16	,	,	PUNCT
ijassa-1167	249	17	3	3	NUM
ijassa-1167	249	18	rd	rd	NOUN
ijassa-1167	249	19	.	.	PUNCT
ijassa-1167	250	1	ed	ed	NOUN
ijassa-1167	250	2	.	.	PUNCT
ijassa-1167	251	1	new	new	PROPN
ijassa-1167	251	2	york	york	PROPN
ijassa-1167	251	3	,	,	PUNCT
ijassa-1167	251	4	ny	ny	PROPN
ijassa-1167	251	5	:	:	PUNCT
ijassa-1167	251	6	john	john	PROPN
ijassa-1167	251	7	wiley	wiley	PROPN
ijassa-1167	251	8	&	&	CCONJ
ijassa-1167	251	9	sons	son	NOUN
ijassa-1167	251	10	.	.	PUNCT
ijassa-1167	252	1	3	3	X
ijassa-1167	252	2	.	.	X
ijassa-1167	252	3	hardle	hardle	PROPN
ijassa-1167	252	4	,	,	PUNCT
ijassa-1167	252	5	v.	v.	PROPN
ijassa-1167	252	6	(	(	PUNCT
ijassa-1167	252	7	1993	1993	NUM
ijassa-1167	252	8	)	)	PUNCT
ijassa-1167	252	9	applied	apply	VERB
ijassa-1167	252	10	nonparametric	nonparametric	NOUN
ijassa-1167	252	11	regression	regression	NOUN
ijassa-1167	252	12	.	.	PUNCT
ijassa-1167	253	1	moscow	moscow	PROPN
ijassa-1167	253	2	,	,	PUNCT
ijassa-1167	253	3	russia	russia	PROPN
ijassa-1167	253	4	:	:	PUNCT
ijassa-1167	253	5	mir	mir	PROPN
ijassa-1167	253	6	.	.	PROPN
ijassa-1167	253	7	4	4	NUM
ijassa-1167	253	8	.	.	X
ijassa-1167	253	9	zenkov	zenkov	PROPN
ijassa-1167	253	10	,	,	PUNCT
ijassa-1167	253	11	v.v	v.v	PROPN
ijassa-1167	253	12	.	.	PROPN
ijassa-1167	254	1	(	(	PUNCT
ijassa-1167	254	2	2018	2018	NUM
ijassa-1167	254	3	)	)	PUNCT
ijassa-1167	254	4	.	.	PUNCT
ijassa-1167	255	1	estimating	estimate	VERB
ijassa-1167	255	2	the	the	DET
ijassa-1167	255	3	probability	probability	NOUN
ijassa-1167	255	4	of	of	ADP
ijassa-1167	255	5	a	a	DET
ijassa-1167	255	6	class	class	NOUN
ijassa-1167	255	7	at	at	ADP
ijassa-1167	255	8	a	a	DET
ijassa-1167	255	9	point	point	NOUN
ijassa-1167	255	10	by	by	ADP
ijassa-1167	255	11	the	the	DET
ijassa-1167	255	12	approximation	approximation	NOUN
ijassa-1167	255	13	of	of	ADP
ijassa-1167	255	14	one	one	NUM
ijassa-1167	255	15	discriminant	discriminant	NOUN
ijassa-1167	255	16	function	function	NOUN
ijassa-1167	255	17	,	,	PUNCT
ijassa-1167	255	18	autom	autom	PROPN
ijassa-1167	255	19	remote	remote	PROPN
ijassa-1167	255	20	control	control	PROPN
ijassa-1167	255	21	,	,	PUNCT
ijassa-1167	255	22	79(9	79(9	NOUN
ijassa-1167	255	23	)	)	PUNCT
ijassa-1167	255	24	,	,	PUNCT
ijassa-1167	255	25	1582–1592	1582–1592	NUM
ijassa-1167	255	26	,	,	PUNCT
ijassa-1167	255	27	https://doi.org/10.1134/s0005117918090047	https://doi.org/10.1134/s0005117918090047	NOUN
ijassa-1167	255	28	.	.	NOUN
ijassa-1167	255	29	5	5	NUM
ijassa-1167	255	30	.	.	X
ijassa-1167	255	31	zenkov	zenkov	PROPN
ijassa-1167	255	32	,	,	PUNCT
ijassa-1167	255	33	v.v	v.v	PROPN
ijassa-1167	255	34	.	.	PROPN
ijassa-1167	255	35	(	(	PUNCT
ijassa-1167	255	36	2017	2017	NUM
ijassa-1167	255	37	)	)	PUNCT
ijassa-1167	255	38	.	.	PUNCT
ijassa-1167	256	1	using	use	VERB
ijassa-1167	256	2	weighted	weighted	ADJ
ijassa-1167	256	3	least	least	ADJ
ijassa-1167	256	4	squares	square	NOUN
ijassa-1167	256	5	to	to	PART
ijassa-1167	256	6	approximate	approximate	VERB
ijassa-1167	256	7	the	the	DET
ijassa-1167	256	8	discriminant	discriminant	NOUN
ijassa-1167	256	9	function	function	VERB
ijassa-1167	256	10	with	with	ADP
ijassa-1167	256	11	a	a	DET
ijassa-1167	256	12	cylindrical	cylindrical	ADJ
ijassa-1167	256	13	surface	surface	NOUN
ijassa-1167	256	14	in	in	ADP
ijassa-1167	256	15	classification	classification	NOUN
ijassa-1167	256	16	problems	problem	NOUN
ijassa-1167	256	17	,	,	PUNCT
ijassa-1167	256	18	autom	autom	PROPN
ijassa-1167	256	19	.	.	PUNCT
ijassa-1167	257	1	remote	remote	ADJ
ijassa-1167	257	2	control	control	NOUN
ijassa-1167	257	3	,	,	PUNCT
ijassa-1167	257	4	78(9	78(9	NOUN
ijassa-1167	257	5	)	)	PUNCT
ijassa-1167	257	6	,	,	PUNCT
ijassa-1167	257	7	1662–1673	1662–1673	NUM
ijassa-1167	257	8	,	,	PUNCT
ijassa-1167	257	9	https://doi.org/10.1134/s0005117917090107	https://doi.org/10.1134/s0005117917090107	NUM
ijassa-1167	257	10	.	.	NOUN
ijassa-1167	258	1	6	6	NUM
ijassa-1167	258	2	.	.	X
ijassa-1167	258	3	zenkov	zenkov	PROPN
ijassa-1167	258	4	,	,	PUNCT
ijassa-1167	258	5	v.v	v.v	PROPN
ijassa-1167	258	6	.	.	PROPN
ijassa-1167	258	7	(	(	PUNCT
ijassa-1167	258	8	2019	2019	NUM
ijassa-1167	258	9	)	)	PUNCT
ijassa-1167	258	10	.	.	PUNCT
ijassa-1167	259	1	estimation	estimation	NOUN
ijassa-1167	259	2	of	of	ADP
ijassa-1167	259	3	the	the	DET
ijassa-1167	259	4	posterior	posterior	ADJ
ijassa-1167	259	5	probability	probability	NOUN
ijassa-1167	259	6	of	of	ADP
ijassa-1167	259	7	a	a	DET
ijassa-1167	259	8	class	class	NOUN
ijassa-1167	259	9	from	from	ADP
ijassa-1167	259	10	a	a	DET
ijassa-1167	259	11	series	series	NOUN
ijassa-1167	259	12	of	of	ADP
ijassa-1167	259	13	discriminant	discriminant	PROPN
ijassa-1167	259	14	anderson	anderson	PROPN
ijassa-1167	259	15	functions	functions	PROPN
ijassa-1167	259	16	,	,	PUNCT
ijassa-1167	259	17	autom	autom	PROPN
ijassa-1167	259	18	remote	remote	PROPN
ijassa-1167	259	19	control	control	PROPN
ijassa-1167	259	20	,	,	PUNCT
ijassa-1167	259	21	80(3	80(3	NUM
ijassa-1167	259	22	)	)	PUNCT
ijassa-1167	259	23	,	,	PUNCT
ijassa-1167	259	24	447	447	NUM
ijassa-1167	259	25	-	-	SYM
ijassa-1167	259	26	458	458	NUM
ijassa-1167	259	27	.	.	PUNCT
ijassa-1167	260	1	https://doi.org/10.1134/s0005117919030056	https://doi.org/10.1134/s0005117919030056	NUM
ijassa-1167	260	2	.	.	NOUN
ijassa-1167	260	3	7	7	NUM
ijassa-1167	260	4	.	.	X
ijassa-1167	260	5	zenkov	zenkov	PROPN
ijassa-1167	260	6	,	,	PUNCT
ijassa-1167	260	7	v.v	v.v	PROPN
ijassa-1167	260	8	.	.	PROPN
ijassa-1167	260	9	(	(	PUNCT
ijassa-1167	260	10	2020	2020	NUM
ijassa-1167	260	11	)	)	PUNCT
ijassa-1167	260	12	.	.	PUNCT
ijassa-1167	261	1	applying	apply	VERB
ijassa-1167	261	2	an	an	DET
ijassa-1167	261	3	approximation	approximation	NOUN
ijassa-1167	261	4	of	of	ADP
ijassa-1167	261	5	the	the	DET
ijassa-1167	261	6	anderson	anderson	PROPN
ijassa-1167	261	7	discriminant	discriminant	PROPN
ijassa-1167	261	8	function	function	PROPN
ijassa-1167	261	9	and	and	CCONJ
ijassa-1167	261	10	support	support	VERB
ijassa-1167	261	11	vector	vector	NOUN
ijassa-1167	261	12	machines	machine	NOUN
ijassa-1167	261	13	for	for	ADP
ijassa-1167	261	14	solving	solve	VERB
ijassa-1167	261	15	some	some	DET
ijassa-1167	261	16	classification	classification	NOUN
ijassa-1167	261	17	tasks	task	NOUN
ijassa-1167	261	18	,	,	PUNCT
ijassa-1167	261	19	autom	autom	PROPN
ijassa-1167	261	20	remote	remote	PROPN
ijassa-1167	261	21	control	control	PROPN
ijassa-1167	261	22	,	,	PUNCT
ijassa-1167	261	23	81(1	81(1	NUM
ijassa-1167	261	24	)	)	PUNCT
ijassa-1167	261	25	,	,	PUNCT
ijassa-1167	261	26	118–129	118–129	NUM
ijassa-1167	261	27	,	,	PUNCT
ijassa-1167	261	28	https://doi.org/10.1134/s0005117920010105	https://doi.org/10.1134/s0005117920010105	PROPN
ijassa-1167	261	29	.	.	PUNCT