id	sid	tid	token	lemma	pos
ejpam-6025	1	1	european	european	PROPN
ejpam-6025	1	2	journal	journal	PROPN
ejpam-6025	1	3	of	of	ADP
ejpam-6025	1	4	pure	pure	ADJ
ejpam-6025	1	5	and	and	CCONJ
ejpam-6025	1	6	applied	applied	ADJ
ejpam-6025	1	7	mathematics	mathematic	NOUN
ejpam-6025	1	8	2025	2025	NUM
ejpam-6025	1	9	,	,	PUNCT
ejpam-6025	1	10	vol	vol	NOUN
ejpam-6025	1	11	.	.	PROPN
ejpam-6025	1	12	18	18	NUM
ejpam-6025	1	13	,	,	PUNCT
ejpam-6025	1	14	issue	issue	NOUN
ejpam-6025	1	15	3	3	NUM
ejpam-6025	1	16	,	,	PUNCT
ejpam-6025	1	17	article	article	NOUN
ejpam-6025	1	18	number	number	NOUN
ejpam-6025	1	19	6025	6025	NUM
ejpam-6025	1	20	issn	issn	VERB
ejpam-6025	1	21	1307	1307	NUM
ejpam-6025	1	22	-	-	SYM
ejpam-6025	1	23	5543	5543	NUM
ejpam-6025	1	24	–	–	PUNCT
ejpam-6025	1	25	ejpam.com	ejpam.com	X
ejpam-6025	1	26	published	publish	VERB
ejpam-6025	1	27	by	by	ADP
ejpam-6025	1	28	new	new	PROPN
ejpam-6025	1	29	york	york	PROPN
ejpam-6025	1	30	business	business	PROPN
ejpam-6025	1	31	global	global	PROPN
ejpam-6025	1	32	portfolio	portfolio	NOUN
ejpam-6025	1	33	optimization	optimization	NOUN
ejpam-6025	1	34	using	use	VERB
ejpam-6025	1	35	cart	cart	NOUN
ejpam-6025	1	36	and	and	CCONJ
ejpam-6025	1	37	genetic	genetic	ADJ
ejpam-6025	1	38	algorithm	algorithm	NOUN
ejpam-6025	1	39	cheibetta	cheibetta	PROPN
ejpam-6025	1	40	ahmed	ahmed	PROPN
ejpam-6025	1	41	baba1,∗	baba1,∗	PROPN
ejpam-6025	1	42	,	,	PUNCT
ejpam-6025	1	43	abdou	abdou	PROPN
ejpam-6025	1	44	ka	ka	PROPN
ejpam-6025	2	1	dionque1	dionque1	PROPN
ejpam-6025	2	2	1	1	NUM
ejpam-6025	2	3	department	department	NOUN
ejpam-6025	2	4	of	of	ADP
ejpam-6025	2	5	applied	apply	VERB
ejpam-6025	2	6	mathematics	mathematic	NOUN
ejpam-6025	2	7	,	,	PUNCT
ejpam-6025	2	8	faculty	faculty	NOUN
ejpam-6025	2	9	of	of	ADP
ejpam-6025	2	10	science	science	NOUN
ejpam-6025	2	11	and	and	CCONJ
ejpam-6025	2	12	technology	technology	NOUN
ejpam-6025	2	13	,	,	PUNCT
ejpam-6025	2	14	gaston	gaston	PROPN
ejpam-6025	2	15	berger	berger	PROPN
ejpam-6025	2	16	university	university	PROPN
ejpam-6025	2	17	of	of	ADP
ejpam-6025	2	18	saint	saint	PROPN
ejpam-6025	2	19	-	-	PUNCT
ejpam-6025	2	20	louis	louis	NOUN
ejpam-6025	2	21	,	,	PUNCT
ejpam-6025	2	22	saint	saint	NOUN
ejpam-6025	2	23	-	-	PUNCT
ejpam-6025	2	24	louis	louis	NOUN
ejpam-6025	2	25	,	,	PUNCT
ejpam-6025	2	26	senegal	senegal	ADJ
ejpam-6025	2	27	abstract	abstract	NOUN
ejpam-6025	2	28	.	.	PUNCT
ejpam-6025	3	1	in	in	ADP
ejpam-6025	3	2	this	this	DET
ejpam-6025	3	3	article	article	NOUN
ejpam-6025	3	4	,	,	PUNCT
ejpam-6025	3	5	we	we	PRON
ejpam-6025	3	6	present	present	VERB
ejpam-6025	3	7	an	an	DET
ejpam-6025	3	8	approach	approach	NOUN
ejpam-6025	3	9	based	base	VERB
ejpam-6025	3	10	on	on	ADP
ejpam-6025	3	11	the	the	DET
ejpam-6025	3	12	approximation	approximation	NOUN
ejpam-6025	3	13	of	of	ADP
ejpam-6025	3	14	data	datum	NOUN
ejpam-6025	3	15	by	by	ADP
ejpam-6025	3	16	segmentation	segmentation	NOUN
ejpam-6025	3	17	using	use	VERB
ejpam-6025	3	18	the	the	DET
ejpam-6025	3	19	cart	cart	NOUN
ejpam-6025	3	20	algorithm	algorithm	NOUN
ejpam-6025	3	21	and	and	CCONJ
ejpam-6025	3	22	genetic	genetic	ADJ
ejpam-6025	3	23	algorithms	algorithm	NOUN
ejpam-6025	3	24	,	,	PUNCT
ejpam-6025	3	25	with	with	ADP
ejpam-6025	3	26	a	a	DET
ejpam-6025	3	27	view	view	NOUN
ejpam-6025	3	28	to	to	ADP
ejpam-6025	3	29	constructing	construct	VERB
ejpam-6025	3	30	an	an	DET
ejpam-6025	3	31	optimal	optimal	ADJ
ejpam-6025	3	32	portfolio	portfolio	NOUN
ejpam-6025	3	33	-	-	PUNCT
ejpam-6025	3	34	extract	extract	NOUN
ejpam-6025	3	35	of	of	ADP
ejpam-6025	3	36	financial	financial	ADJ
ejpam-6025	3	37	assets	asset	NOUN
ejpam-6025	3	38	.	.	PUNCT
ejpam-6025	4	1	this	this	DET
ejpam-6025	4	2	approach	approach	NOUN
ejpam-6025	4	3	generates	generate	VERB
ejpam-6025	4	4	a	a	DET
ejpam-6025	4	5	surplus	surplus	NOUN
ejpam-6025	4	6	of	of	ADP
ejpam-6025	4	7	financial	financial	ADJ
ejpam-6025	4	8	gains	gain	NOUN
ejpam-6025	4	9	in	in	ADP
ejpam-6025	4	10	terms	term	NOUN
ejpam-6025	4	11	of	of	ADP
ejpam-6025	4	12	costs	cost	NOUN
ejpam-6025	4	13	,	,	PUNCT
ejpam-6025	4	14	and	and	CCONJ
ejpam-6025	4	15	improves	improve	VERB
ejpam-6025	4	16	performance	performance	NOUN
ejpam-6025	4	17	by	by	ADP
ejpam-6025	4	18	reducing	reduce	VERB
ejpam-6025	4	19	computing	computing	NOUN
ejpam-6025	4	20	loads	load	NOUN
ejpam-6025	4	21	.	.	PUNCT
ejpam-6025	5	1	this	this	PRON
ejpam-6025	5	2	is	be	AUX
ejpam-6025	5	3	a	a	DET
ejpam-6025	5	4	three	three	NUM
ejpam-6025	5	5	-	-	PUNCT
ejpam-6025	5	6	stage	stage	NOUN
ejpam-6025	5	7	process	process	NOUN
ejpam-6025	5	8	:	:	PUNCT
ejpam-6025	5	9	the	the	DET
ejpam-6025	5	10	first	first	ADJ
ejpam-6025	5	11	is	be	AUX
ejpam-6025	5	12	to	to	PART
ejpam-6025	5	13	represent	represent	VERB
ejpam-6025	5	14	the	the	DET
ejpam-6025	5	15	financial	financial	ADJ
ejpam-6025	5	16	series	series	NOUN
ejpam-6025	5	17	using	use	VERB
ejpam-6025	5	18	a	a	DET
ejpam-6025	5	19	piecewise	piecewise	NOUN
ejpam-6025	5	20	linear	linear	NOUN
ejpam-6025	5	21	approximation	approximation	NOUN
ejpam-6025	5	22	obtained	obtain	VERB
ejpam-6025	5	23	by	by	ADP
ejpam-6025	5	24	cart	cart	NOUN
ejpam-6025	5	25	,	,	PUNCT
ejpam-6025	5	26	where	where	SCONJ
ejpam-6025	5	27	the	the	DET
ejpam-6025	5	28	trend	trend	NOUN
ejpam-6025	5	29	change	change	NOUN
ejpam-6025	5	30	points	point	NOUN
ejpam-6025	5	31	are	be	AUX
ejpam-6025	5	32	optimally	optimally	ADV
ejpam-6025	5	33	determined	determine	VERB
ejpam-6025	5	34	by	by	ADP
ejpam-6025	5	35	segmentation	segmentation	NOUN
ejpam-6025	5	36	of	of	ADP
ejpam-6025	5	37	the	the	DET
ejpam-6025	5	38	series	series	NOUN
ejpam-6025	5	39	into	into	ADP
ejpam-6025	5	40	periods	period	NOUN
ejpam-6025	5	41	of	of	ADP
ejpam-6025	5	42	economic	economic	ADJ
ejpam-6025	5	43	regime	regime	NOUN
ejpam-6025	5	44	change	change	NOUN
ejpam-6025	5	45	.	.	PUNCT
ejpam-6025	6	1	in	in	ADP
ejpam-6025	6	2	the	the	DET
ejpam-6025	6	3	second	second	ADJ
ejpam-6025	6	4	stage	stage	NOUN
ejpam-6025	6	5	,	,	PUNCT
ejpam-6025	6	6	once	once	SCONJ
ejpam-6025	6	7	the	the	DET
ejpam-6025	6	8	segments	segment	NOUN
ejpam-6025	6	9	have	have	AUX
ejpam-6025	6	10	been	be	AUX
ejpam-6025	6	11	determined	determine	VERB
ejpam-6025	6	12	,	,	PUNCT
ejpam-6025	6	13	each	each	DET
ejpam-6025	6	14	segment	segment	NOUN
ejpam-6025	6	15	is	be	AUX
ejpam-6025	6	16	represented	represent	VERB
ejpam-6025	6	17	in	in	ADP
ejpam-6025	6	18	the	the	DET
ejpam-6025	6	19	plan	plan	NOUN
ejpam-6025	6	20	(	(	PUNCT
ejpam-6025	6	21	yield	yield	NOUN
ejpam-6025	6	22	,	,	PUNCT
ejpam-6025	6	23	volatility).we	volatility).we	NOUN
ejpam-6025	6	24	then	then	ADV
ejpam-6025	6	25	develop	develop	VERB
ejpam-6025	6	26	an	an	DET
ejpam-6025	6	27	algorithm	algorithm	NOUN
ejpam-6025	6	28	that	that	PRON
ejpam-6025	6	29	selects	select	VERB
ejpam-6025	6	30	the	the	DET
ejpam-6025	6	31	top	top	ADJ
ejpam-6025	6	32	ten	ten	NUM
ejpam-6025	6	33	financial	financial	ADJ
ejpam-6025	6	34	assets	asset	NOUN
ejpam-6025	6	35	in	in	ADP
ejpam-6025	6	36	the	the	DET
ejpam-6025	6	37	overall	overall	ADJ
ejpam-6025	6	38	portfolio	portfolio	NOUN
ejpam-6025	6	39	,	,	PUNCT
ejpam-6025	6	40	known	know	VERB
ejpam-6025	6	41	as	as	ADP
ejpam-6025	6	42	the	the	DET
ejpam-6025	6	43	extracted	extract	VERB
ejpam-6025	6	44	portfolio	portfolio	NOUN
ejpam-6025	6	45	,	,	PUNCT
ejpam-6025	6	46	in	in	ADP
ejpam-6025	6	47	terms	term	NOUN
ejpam-6025	6	48	of	of	ADP
ejpam-6025	6	49	the	the	DET
ejpam-6025	6	50	best	good	ADJ
ejpam-6025	6	51	ratio	ratio	NOUN
ejpam-6025	6	52	between	between	ADP
ejpam-6025	6	53	return	return	NOUN
ejpam-6025	6	54	and	and	CCONJ
ejpam-6025	6	55	var	var	NOUN
ejpam-6025	6	56	.	.	PUNCT
ejpam-6025	7	1	in	in	ADP
ejpam-6025	7	2	the	the	DET
ejpam-6025	7	3	third	third	ADJ
ejpam-6025	7	4	step	step	NOUN
ejpam-6025	7	5	,	,	PUNCT
ejpam-6025	7	6	we	we	PRON
ejpam-6025	7	7	apply	apply	VERB
ejpam-6025	7	8	heuristic	heuristic	ADJ
ejpam-6025	7	9	optimization	optimization	NOUN
ejpam-6025	7	10	algorithms	algorithm	NOUN
ejpam-6025	7	11	based	base	VERB
ejpam-6025	7	12	on	on	ADP
ejpam-6025	7	13	genetic	genetic	ADJ
ejpam-6025	7	14	algorithms	algorithm	NOUN
ejpam-6025	7	15	and	and	CCONJ
ejpam-6025	7	16	particle	particle	NOUN
ejpam-6025	7	17	swarm	swarm	NOUN
ejpam-6025	7	18	optimization	optimization	NOUN
ejpam-6025	7	19	to	to	ADP
ejpam-6025	7	20	the	the	DET
ejpam-6025	7	21	extracted	extract	VERB
ejpam-6025	7	22	portfolio	portfolio	NOUN
ejpam-6025	7	23	.	.	PUNCT
ejpam-6025	8	1	the	the	DET
ejpam-6025	8	2	aim	aim	NOUN
ejpam-6025	8	3	of	of	ADP
ejpam-6025	8	4	this	this	DET
ejpam-6025	8	5	algorithm	algorithm	NOUN
ejpam-6025	8	6	is	be	AUX
ejpam-6025	8	7	to	to	PART
ejpam-6025	8	8	optimize	optimize	VERB
ejpam-6025	8	9	the	the	DET
ejpam-6025	8	10	weights	weight	NOUN
ejpam-6025	8	11	that	that	PRON
ejpam-6025	8	12	will	will	AUX
ejpam-6025	8	13	minimize	minimize	VERB
ejpam-6025	8	14	the	the	DET
ejpam-6025	8	15	var	var	NOUN
ejpam-6025	8	16	and	and	CCONJ
ejpam-6025	8	17	maximize	maximize	VERB
ejpam-6025	8	18	the	the	DET
ejpam-6025	8	19	value	value	NOUN
ejpam-6025	8	20	of	of	ADP
ejpam-6025	8	21	the	the	DET
ejpam-6025	8	22	extracted	extract	VERB
ejpam-6025	8	23	portfolio	portfolio	NOUN
ejpam-6025	8	24	.	.	PUNCT
ejpam-6025	9	1	2020	2020	NUM
ejpam-6025	9	2	mathematics	mathematic	NOUN
ejpam-6025	9	3	subject	subject	NOUN
ejpam-6025	9	4	classifications	classification	NOUN
ejpam-6025	9	5	:	:	PUNCT
ejpam-6025	9	6	91g10	91g10	NUM
ejpam-6025	9	7	,	,	PUNCT
ejpam-6025	9	8	90c59	90c59	NUM
ejpam-6025	9	9	,	,	PUNCT
ejpam-6025	9	10	62h30	62h30	NUM
ejpam-6025	9	11	,	,	PUNCT
ejpam-6025	9	12	62m10	62m10	NUM
ejpam-6025	9	13	,	,	PUNCT
ejpam-6025	9	14	68w50	68w50	NUM
ejpam-6025	9	15	key	key	ADJ
ejpam-6025	9	16	words	word	NOUN
ejpam-6025	9	17	and	and	CCONJ
ejpam-6025	9	18	phrases	phrase	NOUN
ejpam-6025	9	19	:	:	PUNCT
ejpam-6025	9	20	time	time	NOUN
ejpam-6025	9	21	series	series	PROPN
ejpam-6025	9	22	,	,	PUNCT
ejpam-6025	9	23	portfolio	portfolio	NOUN
ejpam-6025	9	24	management	management	NOUN
ejpam-6025	9	25	,	,	PUNCT
ejpam-6025	9	26	classification	classification	NOUN
ejpam-6025	9	27	and	and	CCONJ
ejpam-6025	9	28	regression	regression	NOUN
ejpam-6025	9	29	trees	tree	NOUN
ejpam-6025	9	30	,	,	PUNCT
ejpam-6025	9	31	decision	decision	NOUN
ejpam-6025	9	32	tree	tree	NOUN
ejpam-6025	9	33	,	,	PUNCT
ejpam-6025	9	34	genetic	genetic	ADJ
ejpam-6025	9	35	algorithm	algorithm	NOUN
ejpam-6025	9	36	,	,	PUNCT
ejpam-6025	9	37	particle	particle	NOUN
ejpam-6025	9	38	swarm	swarm	NOUN
ejpam-6025	9	39	optimization	optimization	NOUN
ejpam-6025	9	40	.	.	PUNCT
ejpam-6025	10	1	1	1	X
ejpam-6025	10	2	.	.	X
ejpam-6025	10	3	introduction	introduction	NOUN
ejpam-6025	10	4	portfolio	portfolio	NOUN
ejpam-6025	10	5	optimization	optimization	NOUN
ejpam-6025	10	6	has	have	AUX
ejpam-6025	10	7	always	always	ADV
ejpam-6025	10	8	been	be	AUX
ejpam-6025	10	9	a	a	DET
ejpam-6025	10	10	central	central	ADJ
ejpam-6025	10	11	issue	issue	NOUN
ejpam-6025	10	12	in	in	ADP
ejpam-6025	10	13	finance	finance	NOUN
ejpam-6025	10	14	.	.	PUNCT
ejpam-6025	11	1	in	in	ADP
ejpam-6025	11	2	this	this	DET
ejpam-6025	11	3	context	context	NOUN
ejpam-6025	11	4	,	,	PUNCT
ejpam-6025	11	5	markowitz	markowitz	PROPN
ejpam-6025	11	6	pioneered	pioneer	VERB
ejpam-6025	11	7	the	the	DET
ejpam-6025	11	8	mean	mean	ADJ
ejpam-6025	11	9	-	-	PUNCT
ejpam-6025	11	10	variance	variance	NOUN
ejpam-6025	11	11	model	model	NOUN
ejpam-6025	11	12	in	in	ADP
ejpam-6025	11	13	1952	1952	NUM
ejpam-6025	11	14	,	,	PUNCT
ejpam-6025	11	15	which	which	PRON
ejpam-6025	11	16	uses	use	VERB
ejpam-6025	11	17	the	the	DET
ejpam-6025	11	18	variance	variance	NOUN
ejpam-6025	11	19	of	of	ADP
ejpam-6025	11	20	portfolio	portfolio	NOUN
ejpam-6025	11	21	returns	return	NOUN
ejpam-6025	11	22	from	from	ADP
ejpam-6025	11	23	their	their	PRON
ejpam-6025	11	24	mean	mean	NOUN
ejpam-6025	11	25	as	as	ADP
ejpam-6025	11	26	a	a	DET
ejpam-6025	11	27	measure	measure	NOUN
ejpam-6025	11	28	of	of	ADP
ejpam-6025	11	29	risk	risk	NOUN
ejpam-6025	11	30	to	to	PART
ejpam-6025	11	31	facilitate	facilitate	VERB
ejpam-6025	11	32	optimal	optimal	ADJ
ejpam-6025	11	33	portfolio	portfolio	NOUN
ejpam-6025	11	34	selection	selection	NOUN
ejpam-6025	11	35	.	.	PUNCT
ejpam-6025	12	1	however	however	ADV
ejpam-6025	12	2	,	,	PUNCT
ejpam-6025	12	3	this	this	DET
ejpam-6025	12	4	model	model	NOUN
ejpam-6025	12	5	has	have	AUX
ejpam-6025	12	6	been	be	AUX
ejpam-6025	12	7	widely	widely	ADV
ejpam-6025	12	8	criticized	criticize	VERB
ejpam-6025	12	9	,	,	PUNCT
ejpam-6025	12	10	particularly	particularly	ADV
ejpam-6025	12	11	for	for	ADP
ejpam-6025	12	12	its	its	PRON
ejpam-6025	12	13	use	use	NOUN
ejpam-6025	12	14	of	of	ADP
ejpam-6025	12	15	variance	variance	NOUN
ejpam-6025	12	16	as	as	ADP
ejpam-6025	12	17	a	a	DET
ejpam-6025	12	18	measure	measure	NOUN
ejpam-6025	12	19	of	of	ADP
ejpam-6025	12	20	risk	risk	NOUN
ejpam-6025	12	21	,	,	PUNCT
ejpam-6025	12	22	the	the	DET
ejpam-6025	12	23	quadratic	quadratic	NOUN
ejpam-6025	12	24	of	of	ADP
ejpam-6025	12	25	the	the	DET
ejpam-6025	12	26	calculations	calculation	NOUN
ejpam-6025	12	27	,	,	PUNCT
ejpam-6025	12	28	as	as	ADV
ejpam-6025	12	29	well	well	ADV
ejpam-6025	12	30	as	as	ADP
ejpam-6025	12	31	the	the	DET
ejpam-6025	12	32	objective	objective	ADJ
ejpam-6025	12	33	function	function	NOUN
ejpam-6025	12	34	and	and	CCONJ
ejpam-6025	12	35	the	the	DET
ejpam-6025	12	36	normality	normality	NOUN
ejpam-6025	12	37	of	of	ADP
ejpam-6025	12	38	returns	return	NOUN
ejpam-6025	12	39	on	on	ADP
ejpam-6025	12	40	financial	financial	ADJ
ejpam-6025	12	41	assets	asset	NOUN
ejpam-6025	12	42	.	.	PUNCT
ejpam-6025	13	1	these	these	DET
ejpam-6025	13	2	criticisms	criticism	NOUN
ejpam-6025	13	3	have	have	AUX
ejpam-6025	13	4	led	lead	VERB
ejpam-6025	13	5	to	to	ADP
ejpam-6025	13	6	various	various	ADJ
ejpam-6025	13	7	attempts	attempt	NOUN
ejpam-6025	13	8	to	to	PART
ejpam-6025	13	9	improve	improve	VERB
ejpam-6025	13	10	the	the	DET
ejpam-6025	13	11	model	model	NOUN
ejpam-6025	13	12	,	,	PUNCT
ejpam-6025	13	13	or	or	CCONJ
ejpam-6025	13	14	to	to	ADP
ejpam-6025	13	15	the	the	DET
ejpam-6025	13	16	development	development	NOUN
ejpam-6025	13	17	of	of	ADP
ejpam-6025	13	18	new	new	ADJ
ejpam-6025	13	19	models	model	NOUN
ejpam-6025	13	20	.	.	PUNCT
ejpam-6025	14	1	in	in	ADP
ejpam-6025	14	2	this	this	DET
ejpam-6025	14	3	context	context	NOUN
ejpam-6025	14	4	,	,	PUNCT
ejpam-6025	14	5	∗corresponding	∗corresponde	VERB
ejpam-6025	14	6	author	author	NOUN
ejpam-6025	14	7	.	.	PUNCT
ejpam-6025	15	1	doi	doi	NOUN
ejpam-6025	15	2	:	:	PUNCT
ejpam-6025	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6025	https://doi.org/10.29020/nybg.ejpam.v18i3.6025	ADP
ejpam-6025	15	4	email	email	NOUN
ejpam-6025	15	5	addresses	address	NOUN
ejpam-6025	15	6	:	:	PUNCT
ejpam-6025	15	7	cheibetta	cheibetta	PROPN
ejpam-6025	15	8	ahmed88@yahoo.com	ahmed88@yahoo.com	PROPN
ejpam-6025	15	9	(	(	PUNCT
ejpam-6025	15	10	ch	ch	NOUN
ejpam-6025	15	11	.	.	PUNCT
ejpam-6025	16	1	ahmed	ahmed	PROPN
ejpam-6025	16	2	baba	baba	PROPN
ejpam-6025	16	3	)	)	PUNCT
ejpam-6025	16	4	,	,	PUNCT
ejpam-6025	17	1	abdou.diongue@ugb.edu.sn	abdou.diongue@ugb.edu.sn	PROPN
ejpam-6025	17	2	(	(	PUNCT
ejpam-6025	17	3	a.	a.	NOUN
ejpam-6025	17	4	ka	ka	PROPN
ejpam-6025	17	5	dionque	dionque	PROPN
ejpam-6025	17	6	)	)	PUNCT
ejpam-6025	17	7	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6025	18	1	1	1	NUM
ejpam-6025	18	2	copyright	copyright	NOUN
ejpam-6025	18	3	:	:	PUNCT
ejpam-6025	18	4	©	©	PROPN
ejpam-6025	18	5	2025	2025	NUM
ejpam-6025	18	6	the	the	DET
ejpam-6025	18	7	author(s	author(s	NOUN
ejpam-6025	18	8	)	)	PUNCT
ejpam-6025	18	9	.	.	PUNCT
ejpam-6025	19	1	(	(	PUNCT
ejpam-6025	19	2	cc	cc	NOUN
ejpam-6025	19	3	by	by	ADP
ejpam-6025	19	4	-	-	PUNCT
ejpam-6025	19	5	nc	nc	PROPN
ejpam-6025	19	6	4.0	4.0	NUM
ejpam-6025	19	7	)	)	PUNCT
ejpam-6025	19	8	ch	ch	NOUN
ejpam-6025	19	9	.	.	PUNCT
ejpam-6025	20	1	ahmed	ahmed	PROPN
ejpam-6025	20	2	baba	baba	PROPN
ejpam-6025	20	3	,	,	PUNCT
ejpam-6025	20	4	a.	a.	PROPN
ejpam-6025	20	5	ka	ka	PROPN
ejpam-6025	20	6	dionque	dionque	PROPN
ejpam-6025	20	7	/	/	SYM
ejpam-6025	20	8	eur	eur	PROPN
ejpam-6025	20	9	.	.	PUNCT
ejpam-6025	21	1	j.	j.	PROPN
ejpam-6025	21	2	pure	pure	PROPN
ejpam-6025	21	3	appl	appl	PROPN
ejpam-6025	21	4	.	.	PROPN
ejpam-6025	21	5	math	math	PROPN
ejpam-6025	21	6	,	,	PUNCT
ejpam-6025	21	7	18	18	NUM
ejpam-6025	21	8	(	(	PUNCT
ejpam-6025	21	9	3	3	NUM
ejpam-6025	21	10	)	)	PUNCT
ejpam-6025	21	11	(	(	PUNCT
ejpam-6025	21	12	2025	2025	NUM
ejpam-6025	21	13	)	)	PUNCT
ejpam-6025	21	14	,	,	PUNCT
ejpam-6025	21	15	6025	6025	NUM
ejpam-6025	21	16	2	2	NUM
ejpam-6025	21	17	of	of	ADP
ejpam-6025	21	18	19	19	NUM
ejpam-6025	21	19	several	several	ADJ
ejpam-6025	21	20	models	model	NOUN
ejpam-6025	21	21	have	have	AUX
ejpam-6025	21	22	been	be	AUX
ejpam-6025	21	23	developed	develop	VERB
ejpam-6025	21	24	to	to	PART
ejpam-6025	21	25	lighten	lighten	VERB
ejpam-6025	21	26	the	the	DET
ejpam-6025	21	27	computational	computational	ADJ
ejpam-6025	21	28	load	load	NOUN
ejpam-6025	21	29	and	and	CCONJ
ejpam-6025	21	30	linearize	linearize	VERB
ejpam-6025	21	31	the	the	DET
ejpam-6025	21	32	optimal	optimal	ADJ
ejpam-6025	21	33	portfolio	portfolio	NOUN
ejpam-6025	21	34	choice	choice	NOUN
ejpam-6025	21	35	problem	problem	NOUN
ejpam-6025	21	36	,	,	PUNCT
ejpam-6025	21	37	of	of	ADP
ejpam-6025	21	38	which	which	PRON
ejpam-6025	21	39	the	the	DET
ejpam-6025	21	40	sharpe	sharpe	NOUN
ejpam-6025	21	41	[	[	X
ejpam-6025	21	42	1	1	NUM
ejpam-6025	21	43	]	]	PUNCT
ejpam-6025	21	44	and	and	CCONJ
ejpam-6025	21	45	stone	stone	NOUN
ejpam-6025	21	46	models	model	NOUN
ejpam-6025	21	47	[	[	X
ejpam-6025	21	48	2	2	X
ejpam-6025	21	49	]	]	PUNCT
ejpam-6025	21	50	are	be	AUX
ejpam-6025	21	51	the	the	DET
ejpam-6025	21	52	best	good	ADJ
ejpam-6025	21	53	known.alternatively	known.alternatively	ADV
ejpam-6025	21	54	,	,	PUNCT
ejpam-6025	21	55	authors	author	NOUN
ejpam-6025	21	56	such	such	ADJ
ejpam-6025	21	57	as	as	ADP
ejpam-6025	21	58	konno	konno	NOUN
ejpam-6025	21	59	,	,	PUNCT
ejpam-6025	21	60	konno	konno	NOUN
ejpam-6025	21	61	and	and	CCONJ
ejpam-6025	21	62	yamazaki	yamazaki	PROPN
ejpam-6025	22	1	[	[	X
ejpam-6025	22	2	3	3	NUM
ejpam-6025	22	3	]	]	PUNCT
ejpam-6025	22	4	,	,	PUNCT
ejpam-6025	22	5	and	and	CCONJ
ejpam-6025	22	6	zenios	zenios	PROPN
ejpam-6025	22	7	,	,	PUNCT
ejpam-6025	22	8	pang	pang	NOUN
ejpam-6025	22	9	and	and	CCONJ
ejpam-6025	22	10	speranza	speranza	PROPN
ejpam-6025	22	11	[	[	X
ejpam-6025	22	12	4	4	NUM
ejpam-6025	22	13	]	]	PUNCT
ejpam-6025	22	14	,	,	PUNCT
ejpam-6025	22	15	have	have	AUX
ejpam-6025	22	16	suggested	suggest	VERB
ejpam-6025	22	17	that	that	SCONJ
ejpam-6025	22	18	portfolio	portfolio	NOUN
ejpam-6025	22	19	risk	risk	NOUN
ejpam-6025	22	20	should	should	AUX
ejpam-6025	22	21	be	be	AUX
ejpam-6025	22	22	calculated	calculate	VERB
ejpam-6025	22	23	in	in	ADP
ejpam-6025	22	24	linear	linear	PROPN
ejpam-6025	22	25	rather	rather	ADV
ejpam-6025	22	26	than	than	ADP
ejpam-6025	22	27	quadratic	quadratic	ADJ
ejpam-6025	22	28	form	form	NOUN
ejpam-6025	22	29	,	,	PUNCT
ejpam-6025	22	30	to	to	PART
ejpam-6025	22	31	create	create	VERB
ejpam-6025	22	32	linear	linear	ADJ
ejpam-6025	22	33	programming	programming	NOUN
ejpam-6025	22	34	models	model	NOUN
ejpam-6025	22	35	for	for	ADP
ejpam-6025	22	36	selecting	select	VERB
ejpam-6025	22	37	an	an	DET
ejpam-6025	22	38	optimal	optimal	ADJ
ejpam-6025	22	39	portfolio	portfolio	NOUN
ejpam-6025	22	40	,	,	PUNCT
ejpam-6025	22	41	while	while	SCONJ
ejpam-6025	22	42	incorporating	incorporate	VERB
ejpam-6025	22	43	asymmetrical	asymmetrical	ADJ
ejpam-6025	22	44	risk	risk	NOUN
ejpam-6025	22	45	criteria	criterion	NOUN
ejpam-6025	22	46	to	to	PART
ejpam-6025	22	47	simplify	simplify	VERB
ejpam-6025	22	48	optimization	optimization	NOUN
ejpam-6025	22	49	.	.	PUNCT
ejpam-6025	23	1	other	other	ADJ
ejpam-6025	23	2	researchers	researcher	NOUN
ejpam-6025	23	3	,	,	PUNCT
ejpam-6025	23	4	such	such	ADJ
ejpam-6025	23	5	as	as	ADP
ejpam-6025	23	6	pedersen	pedersen	NOUN
ejpam-6025	23	7	and	and	CCONJ
ejpam-6025	23	8	stchell	stchell	NOUN
ejpam-6025	23	9	,	,	PUNCT
ejpam-6025	23	10	have	have	AUX
ejpam-6025	23	11	extended	extend	VERB
ejpam-6025	23	12	a	a	DET
ejpam-6025	23	13	family	family	NOUN
ejpam-6025	23	14	of	of	ADP
ejpam-6025	23	15	risk	risk	NOUN
ejpam-6025	23	16	functions	function	NOUN
ejpam-6025	23	17	by	by	ADP
ejpam-6025	23	18	introducing	introduce	VERB
ejpam-6025	23	19	a	a	DET
ejpam-6025	23	20	class	class	NOUN
ejpam-6025	23	21	that	that	PRON
ejpam-6025	23	22	encompasses	encompass	VERB
ejpam-6025	23	23	most	most	ADJ
ejpam-6025	23	24	existing	exist	VERB
ejpam-6025	23	25	risk	risk	NOUN
ejpam-6025	23	26	measures	measure	NOUN
ejpam-6025	23	27	.	.	PUNCT
ejpam-6025	24	1	however	however	ADV
ejpam-6025	24	2	,	,	PUNCT
ejpam-6025	24	3	when	when	SCONJ
ejpam-6025	24	4	markowitz	markowitz	PROPN
ejpam-6025	24	5	[	[	X
ejpam-6025	24	6	5	5	NUM
ejpam-6025	24	7	]	]	PUNCT
ejpam-6025	24	8	established	establish	VERB
ejpam-6025	24	9	what	what	PRON
ejpam-6025	24	10	is	be	AUX
ejpam-6025	24	11	now	now	ADV
ejpam-6025	24	12	recognized	recognize	VERB
ejpam-6025	24	13	as	as	ADP
ejpam-6025	24	14	modern	modern	ADJ
ejpam-6025	24	15	portfolio	portfolio	NOUN
ejpam-6025	24	16	theory	theory	NOUN
ejpam-6025	24	17	,	,	PUNCT
ejpam-6025	24	18	little	little	ADJ
ejpam-6025	24	19	effort	effort	NOUN
ejpam-6025	24	20	has	have	AUX
ejpam-6025	24	21	been	be	AUX
ejpam-6025	24	22	made	make	VERB
ejpam-6025	24	23	to	to	PART
ejpam-6025	24	24	explore	explore	VERB
ejpam-6025	24	25	improved	improved	ADJ
ejpam-6025	24	26	methods	method	NOUN
ejpam-6025	24	27	for	for	ADP
ejpam-6025	24	28	analyzing	analyze	VERB
ejpam-6025	24	29	the	the	DET
ejpam-6025	24	30	price	price	NOUN
ejpam-6025	24	31	data	datum	NOUN
ejpam-6025	24	32	used	use	VERB
ejpam-6025	24	33	in	in	ADP
ejpam-6025	24	34	its	its	PRON
ejpam-6025	24	35	mean	mean	ADJ
ejpam-6025	24	36	-	-	PUNCT
ejpam-6025	24	37	variance	variance	NOUN
ejpam-6025	24	38	framework	framework	NOUN
ejpam-6025	24	39	.	.	PUNCT
ejpam-6025	25	1	since	since	SCONJ
ejpam-6025	25	2	then	then	ADV
ejpam-6025	25	3	,	,	PUNCT
ejpam-6025	25	4	several	several	ADJ
ejpam-6025	25	5	advances	advance	NOUN
ejpam-6025	25	6	in	in	ADP
ejpam-6025	25	7	financial	financial	ADJ
ejpam-6025	25	8	mathematics	mathematic	NOUN
ejpam-6025	25	9	have	have	AUX
ejpam-6025	25	10	enabled	enable	VERB
ejpam-6025	25	11	us	we	PRON
ejpam-6025	25	12	to	to	PART
ejpam-6025	25	13	better	well	ADV
ejpam-6025	25	14	understand	understand	VERB
ejpam-6025	25	15	these	these	DET
ejpam-6025	25	16	data	datum	NOUN
ejpam-6025	25	17	series	series	NOUN
ejpam-6025	25	18	,	,	PUNCT
ejpam-6025	25	19	leading	lead	VERB
ejpam-6025	25	20	to	to	ADP
ejpam-6025	25	21	models	model	NOUN
ejpam-6025	25	22	that	that	PRON
ejpam-6025	25	23	are	be	AUX
ejpam-6025	25	24	better	well	ADV
ejpam-6025	25	25	adapted	adapt	VERB
ejpam-6025	25	26	to	to	ADP
ejpam-6025	25	27	reality	reality	NOUN
ejpam-6025	25	28	.	.	PUNCT
ejpam-6025	26	1	bayesian	bayesian	NOUN
ejpam-6025	26	2	parameter	parameter	NOUN
ejpam-6025	26	3	estimation	estimation	NOUN
ejpam-6025	26	4	approaches	approach	NOUN
ejpam-6025	26	5	based	base	VERB
ejpam-6025	26	6	on	on	ADP
ejpam-6025	26	7	historical	historical	ADJ
ejpam-6025	26	8	data	datum	NOUN
ejpam-6025	26	9	,	,	PUNCT
ejpam-6025	26	10	such	such	ADJ
ejpam-6025	26	11	as	as	ADP
ejpam-6025	26	12	those	those	PRON
ejpam-6025	26	13	by	by	ADP
ejpam-6025	26	14	garlappi	garlappi	PROPN
ejpam-6025	26	15	et	et	PROPN
ejpam-6025	26	16	al	al	PROPN
ejpam-6025	27	1	[	[	X
ejpam-6025	27	2	6	6	NUM
ejpam-6025	27	3	]	]	PUNCT
ejpam-6025	27	4	,	,	PUNCT
ejpam-6025	27	5	avramov	avramov	PROPN
ejpam-6025	27	6	and	and	CCONJ
ejpam-6025	27	7	zhou	zhou	PROPN
ejpam-6025	28	1	[	[	X
ejpam-6025	28	2	7	7	X
ejpam-6025	28	3	]	]	PUNCT
ejpam-6025	28	4	and	and	CCONJ
ejpam-6025	28	5	lai	lai	VERB
ejpam-6025	28	6	et	et	PROPN
ejpam-6025	28	7	al	al	PROPN
ejpam-6025	29	1	[	[	X
ejpam-6025	29	2	8	8	NUM
ejpam-6025	29	3	]	]	PUNCT
ejpam-6025	29	4	,	,	PUNCT
ejpam-6025	29	5	have	have	AUX
ejpam-6025	29	6	been	be	AUX
ejpam-6025	29	7	widely	widely	ADV
ejpam-6025	29	8	cited	cite	VERB
ejpam-6025	29	9	and	and	CCONJ
ejpam-6025	29	10	applied	apply	VERB
ejpam-6025	29	11	recently	recently	ADV
ejpam-6025	29	12	.	.	PUNCT
ejpam-6025	30	1	the	the	DET
ejpam-6025	30	2	factor	factor	NOUN
ejpam-6025	30	3	models	model	NOUN
ejpam-6025	30	4	of	of	ADP
ejpam-6025	30	5	fama	fama	NOUN
ejpam-6025	30	6	and	and	CCONJ
ejpam-6025	30	7	french	french	ADJ
ejpam-6025	30	8	[	[	X
ejpam-6025	30	9	9	9	NUM
ejpam-6025	30	10	]	]	PUNCT
ejpam-6025	30	11	have	have	AUX
ejpam-6025	30	12	also	also	ADV
ejpam-6025	30	13	significantly	significantly	ADV
ejpam-6025	30	14	improved	improve	VERB
ejpam-6025	30	15	on	on	ADP
ejpam-6025	30	16	conventional	conventional	ADJ
ejpam-6025	30	17	pricing	pricing	NOUN
ejpam-6025	30	18	models	model	NOUN
ejpam-6025	30	19	based	base	VERB
ejpam-6025	30	20	on	on	ADP
ejpam-6025	30	21	mean	mean	ADJ
ejpam-6025	30	22	-	-	PUNCT
ejpam-6025	30	23	variance	variance	NOUN
ejpam-6025	30	24	optimization	optimization	NOUN
ejpam-6025	30	25	.	.	PUNCT
ejpam-6025	31	1	selecting	select	VERB
ejpam-6025	31	2	assets	asset	NOUN
ejpam-6025	31	3	for	for	ADP
ejpam-6025	31	4	a	a	DET
ejpam-6025	31	5	portfolio	portfolio	NOUN
ejpam-6025	31	6	is	be	AUX
ejpam-6025	31	7	an	an	DET
ejpam-6025	31	8	issue	issue	NOUN
ejpam-6025	31	9	shared	share	VERB
ejpam-6025	31	10	by	by	ADP
ejpam-6025	31	11	a	a	DET
ejpam-6025	31	12	large	large	ADJ
ejpam-6025	31	13	number	number	NOUN
ejpam-6025	31	14	of	of	ADP
ejpam-6025	31	15	financial	financial	ADJ
ejpam-6025	31	16	market	market	NOUN
ejpam-6025	31	17	professionals	professional	NOUN
ejpam-6025	31	18	.	.	PUNCT
ejpam-6025	32	1	financial	financial	ADJ
ejpam-6025	32	2	markets	market	NOUN
ejpam-6025	32	3	.	.	PUNCT
ejpam-6025	33	1	the	the	DET
ejpam-6025	33	2	aim	aim	NOUN
ejpam-6025	33	3	is	be	AUX
ejpam-6025	33	4	to	to	PART
ejpam-6025	33	5	determine	determine	VERB
ejpam-6025	33	6	,	,	PUNCT
ejpam-6025	33	7	from	from	ADP
ejpam-6025	33	8	among	among	ADP
ejpam-6025	33	9	the	the	DET
ejpam-6025	33	10	assets	asset	NOUN
ejpam-6025	33	11	available	available	ADJ
ejpam-6025	33	12	for	for	ADP
ejpam-6025	33	13	investment	investment	NOUN
ejpam-6025	33	14	,	,	PUNCT
ejpam-6025	33	15	the	the	DET
ejpam-6025	33	16	capital	capital	NOUN
ejpam-6025	33	17	allocation	allocation	NOUN
ejpam-6025	33	18	that	that	PRON
ejpam-6025	33	19	makes	make	VERB
ejpam-6025	33	20	up	up	ADP
ejpam-6025	33	21	the	the	DET
ejpam-6025	33	22	best	good	ADJ
ejpam-6025	33	23	possible	possible	ADJ
ejpam-6025	33	24	portfolio.since	portfolio.since	NOUN
ejpam-6025	33	25	the	the	DET
ejpam-6025	33	26	future	future	NOUN
ejpam-6025	33	27	is	be	AUX
ejpam-6025	33	28	uncertain	uncertain	ADJ
ejpam-6025	33	29	,	,	PUNCT
ejpam-6025	33	30	asset	asset	NOUN
ejpam-6025	33	31	returns	return	NOUN
ejpam-6025	33	32	must	must	AUX
ejpam-6025	33	33	be	be	AUX
ejpam-6025	33	34	considered	consider	VERB
ejpam-6025	33	35	as	as	ADP
ejpam-6025	33	36	a	a	DET
ejpam-6025	33	37	random	random	ADJ
ejpam-6025	33	38	vector	vector	NOUN
ejpam-6025	33	39	,	,	PUNCT
ejpam-6025	33	40	and	and	CCONJ
ejpam-6025	33	41	“	"	PUNCT
ejpam-6025	33	42	best	good	ADJ
ejpam-6025	33	43	”	"	PUNCT
ejpam-6025	33	44	is	be	AUX
ejpam-6025	33	45	generally	generally	ADV
ejpam-6025	33	46	understood	understand	VERB
ejpam-6025	33	47	as	as	ADP
ejpam-6025	33	48	taking	take	VERB
ejpam-6025	33	49	into	into	ADP
ejpam-6025	33	50	account	account	NOUN
ejpam-6025	33	51	both	both	CCONJ
ejpam-6025	33	52	the	the	DET
ejpam-6025	33	53	expected	expect	VERB
ejpam-6025	33	54	gain	gain	NOUN
ejpam-6025	33	55	and	and	CCONJ
ejpam-6025	33	56	the	the	DET
ejpam-6025	33	57	risk	risk	NOUN
ejpam-6025	33	58	taken.this	taken.this	DET
ejpam-6025	33	59	objective	objective	NOUN
ejpam-6025	33	60	can	can	AUX
ejpam-6025	33	61	be	be	AUX
ejpam-6025	33	62	simplified	simplify	VERB
ejpam-6025	33	63	within	within	ADP
ejpam-6025	33	64	the	the	DET
ejpam-6025	33	65	framework	framework	NOUN
ejpam-6025	33	66	of	of	ADP
ejpam-6025	33	67	modern	modern	ADJ
ejpam-6025	33	68	portfolio	portfolio	NOUN
ejpam-6025	33	69	theory	theory	NOUN
ejpam-6025	33	70	[	[	X
ejpam-6025	33	71	5	5	NUM
ejpam-6025	33	72	]	]	PUNCT
ejpam-6025	33	73	which	which	PRON
ejpam-6025	33	74	formulates	formulate	VERB
ejpam-6025	33	75	the	the	DET
ejpam-6025	33	76	selection	selection	NOUN
ejpam-6025	33	77	problem	problem	NOUN
ejpam-6025	33	78	as	as	ADP
ejpam-6025	33	79	a	a	DET
ejpam-6025	33	80	minimization	minimization	NOUN
ejpam-6025	33	81	of	of	ADP
ejpam-6025	33	82	the	the	DET
ejpam-6025	33	83	estimated	estimate	VERB
ejpam-6025	33	84	variance	variance	NOUN
ejpam-6025	33	85	of	of	ADP
ejpam-6025	33	86	the	the	DET
ejpam-6025	33	87	portfolio	portfolio	NOUN
ejpam-6025	33	88	under	under	ADP
ejpam-6025	33	89	the	the	DET
ejpam-6025	33	90	expected	expect	VERB
ejpam-6025	33	91	return	return	NOUN
ejpam-6025	33	92	constraint	constraint	NOUN
ejpam-6025	33	93	.	.	PUNCT
ejpam-6025	34	1	however	however	ADV
ejpam-6025	34	2	,	,	PUNCT
ejpam-6025	34	3	the	the	DET
ejpam-6025	34	4	optimization	optimization	NOUN
ejpam-6025	34	5	implies	imply	VERB
ejpam-6025	34	6	estimating	estimate	VERB
ejpam-6025	34	7	the	the	DET
ejpam-6025	34	8	expectation	expectation	NOUN
ejpam-6025	34	9	of	of	ADP
ejpam-6025	34	10	the	the	DET
ejpam-6025	34	11	asset	asset	NOUN
ejpam-6025	34	12	return	return	NOUN
ejpam-6025	34	13	vector	vector	NOUN
ejpam-6025	34	14	and	and	CCONJ
ejpam-6025	34	15	its	its	PRON
ejpam-6025	34	16	variance	variance	NOUN
ejpam-6025	34	17	-	-	PUNCT
ejpam-6025	34	18	covariance	covariance	NOUN
ejpam-6025	34	19	matrix	matrix	NOUN
ejpam-6025	34	20	.	.	PUNCT
ejpam-6025	35	1	a	a	DET
ejpam-6025	35	2	wide	wide	ADJ
ejpam-6025	35	3	variety	variety	NOUN
ejpam-6025	35	4	of	of	ADP
ejpam-6025	35	5	approaches	approach	NOUN
ejpam-6025	35	6	have	have	AUX
ejpam-6025	35	7	been	be	AUX
ejpam-6025	35	8	proposed	propose	VERB
ejpam-6025	35	9	and	and	CCONJ
ejpam-6025	35	10	practiced	practice	VERB
ejpam-6025	35	11	by	by	ADP
ejpam-6025	35	12	market	market	NOUN
ejpam-6025	35	13	players	player	NOUN
ejpam-6025	35	14	to	to	PART
ejpam-6025	35	15	make	make	VERB
ejpam-6025	35	16	this	this	DET
ejpam-6025	35	17	estimate	estimate	NOUN
ejpam-6025	35	18	.	.	PUNCT
ejpam-6025	36	1	three	three	NUM
ejpam-6025	36	2	main	main	ADJ
ejpam-6025	36	3	methodological	methodological	ADJ
ejpam-6025	36	4	trends	trend	NOUN
ejpam-6025	36	5	can	can	AUX
ejpam-6025	36	6	be	be	AUX
ejpam-6025	36	7	identified	identify	VERB
ejpam-6025	36	8	:	:	PUNCT
ejpam-6025	36	9	fundamental	fundamental	ADJ
ejpam-6025	36	10	analysis	analysis	NOUN
ejpam-6025	36	11	,	,	PUNCT
ejpam-6025	36	12	technical	technical	ADJ
ejpam-6025	36	13	analysis	analysis	NOUN
ejpam-6025	36	14	and	and	CCONJ
ejpam-6025	36	15	quantitative	quantitative	ADJ
ejpam-6025	36	16	analysis	analysis	NOUN
ejpam-6025	36	17	.	.	PUNCT
ejpam-6025	37	1	for	for	ADP
ejpam-6025	37	2	our	our	PRON
ejpam-6025	37	3	approach	approach	NOUN
ejpam-6025	37	4	,	,	PUNCT
ejpam-6025	37	5	we	we	PRON
ejpam-6025	37	6	have	have	AUX
ejpam-6025	37	7	proposed	propose	VERB
ejpam-6025	37	8	the	the	DET
ejpam-6025	37	9	(	(	PUNCT
ejpam-6025	37	10	cart	cart	NOUN
ejpam-6025	37	11	)	)	PUNCT
ejpam-6025	37	12	algorithm	algorithm	NOUN
ejpam-6025	37	13	for	for	ADP
ejpam-6025	37	14	piecewise	piecewise	NOUN
ejpam-6025	37	15	linear	linear	PROPN
ejpam-6025	37	16	approximation	approximation	NOUN
ejpam-6025	37	17	,	,	PUNCT
ejpam-6025	37	18	where	where	SCONJ
ejpam-6025	37	19	trend	trend	NOUN
ejpam-6025	37	20	change	change	NOUN
ejpam-6025	37	21	points	point	NOUN
ejpam-6025	37	22	are	be	AUX
ejpam-6025	37	23	determined	determine	VERB
ejpam-6025	37	24	optimally	optimally	ADV
ejpam-6025	37	25	by	by	ADP
ejpam-6025	37	26	segmenting	segment	VERB
ejpam-6025	37	27	the	the	DET
ejpam-6025	37	28	financial	financial	ADJ
ejpam-6025	37	29	series	series	NOUN
ejpam-6025	37	30	into	into	ADP
ejpam-6025	37	31	periods	period	NOUN
ejpam-6025	37	32	of	of	ADP
ejpam-6025	37	33	economic	economic	ADJ
ejpam-6025	37	34	regime	regime	NOUN
ejpam-6025	38	1	change.then	change.then	PRON
ejpam-6025	38	2	we	we	PRON
ejpam-6025	38	3	consider	consider	VERB
ejpam-6025	38	4	that	that	SCONJ
ejpam-6025	38	5	each	each	DET
ejpam-6025	38	6	segment	segment	NOUN
ejpam-6025	38	7	will	will	AUX
ejpam-6025	38	8	be	be	AUX
ejpam-6025	38	9	represented	represent	VERB
ejpam-6025	38	10	in	in	ADP
ejpam-6025	38	11	the	the	DET
ejpam-6025	38	12	plan	plan	NOUN
ejpam-6025	38	13	(	(	PUNCT
ejpam-6025	38	14	yield	yield	NOUN
ejpam-6025	38	15	,	,	PUNCT
ejpam-6025	38	16	volatility	volatility	NOUN
ejpam-6025	38	17	)	)	PUNCT
ejpam-6025	38	18	,	,	PUNCT
ejpam-6025	38	19	by	by	ADP
ejpam-6025	38	20	choosing	choose	VERB
ejpam-6025	38	21	the	the	DET
ejpam-6025	38	22	ten	ten	NUM
ejpam-6025	38	23	best	good	ADJ
ejpam-6025	38	24	assets	asset	NOUN
ejpam-6025	38	25	in	in	ADP
ejpam-6025	38	26	this	this	DET
ejpam-6025	38	27	portfolio	portfolio	NOUN
ejpam-6025	38	28	,	,	PUNCT
ejpam-6025	38	29	called	call	VERB
ejpam-6025	38	30	portfolio	portfolio	NOUN
ejpam-6025	38	31	-	-	PUNCT
ejpam-6025	38	32	extract	extract	NOUN
ejpam-6025	38	33	,	,	PUNCT
ejpam-6025	38	34	with	with	ADP
ejpam-6025	38	35	the	the	DET
ejpam-6025	38	36	best	good	ADJ
ejpam-6025	38	37	ratio	ratio	NOUN
ejpam-6025	38	38	between	between	ADP
ejpam-6025	38	39	expected	expect	VERB
ejpam-6025	38	40	returns	return	NOUN
ejpam-6025	38	41	and	and	CCONJ
ejpam-6025	38	42	var	var	NOUN
ejpam-6025	38	43	,	,	PUNCT
ejpam-6025	38	44	using	use	VERB
ejpam-6025	38	45	the	the	DET
ejpam-6025	38	46	algorithm	algorithm	NOUN
ejpam-6025	38	47	we	we	PRON
ejpam-6025	38	48	’ve	’ve	AUX
ejpam-6025	38	49	developed	develop	VERB
ejpam-6025	38	50	.	.	PUNCT
ejpam-6025	39	1	we	we	PRON
ejpam-6025	39	2	then	then	ADV
ejpam-6025	39	3	apply	apply	VERB
ejpam-6025	39	4	heuristic	heuristic	ADJ
ejpam-6025	39	5	optimization	optimization	NOUN
ejpam-6025	39	6	algorithms	algorithm	NOUN
ejpam-6025	39	7	based	base	VERB
ejpam-6025	39	8	on	on	ADP
ejpam-6025	39	9	genetic	genetic	ADJ
ejpam-6025	39	10	algorithms	algorithm	NOUN
ejpam-6025	39	11	and	and	CCONJ
ejpam-6025	39	12	particle	particle	NOUN
ejpam-6025	39	13	swarm	swarm	NOUN
ejpam-6025	39	14	optimization	optimization	NOUN
ejpam-6025	39	15	to	to	ADP
ejpam-6025	39	16	the	the	DET
ejpam-6025	39	17	extracted	extract	VERB
ejpam-6025	39	18	portfolio	portfolio	NOUN
ejpam-6025	39	19	..	..	PUNCT
ejpam-6025	40	1	this	this	DET
ejpam-6025	40	2	work	work	NOUN
ejpam-6025	40	3	is	be	AUX
ejpam-6025	40	4	organized	organize	VERB
ejpam-6025	40	5	as	as	SCONJ
ejpam-6025	40	6	follows	follow	VERB
ejpam-6025	40	7	.	.	PUNCT
ejpam-6025	41	1	in	in	ADP
ejpam-6025	41	2	section	section	NOUN
ejpam-6025	41	3	1	1	NUM
ejpam-6025	41	4	,	,	PUNCT
ejpam-6025	41	5	we	we	PRON
ejpam-6025	41	6	present	present	VERB
ejpam-6025	41	7	the	the	DET
ejpam-6025	41	8	data	datum	NOUN
ejpam-6025	41	9	representation	representation	NOUN
ejpam-6025	41	10	methods	method	NOUN
ejpam-6025	41	11	.	.	PUNCT
ejpam-6025	42	1	some	some	DET
ejpam-6025	42	2	elements	element	NOUN
ejpam-6025	42	3	of	of	ADP
ejpam-6025	42	4	the	the	DET
ejpam-6025	42	5	approximation	approximation	NOUN
ejpam-6025	42	6	method	method	NOUN
ejpam-6025	42	7	are	be	AUX
ejpam-6025	42	8	discussed	discuss	VERB
ejpam-6025	42	9	in	in	ADP
ejpam-6025	42	10	section	section	NOUN
ejpam-6025	42	11	2	2	NUM
ejpam-6025	42	12	.	.	PUNCT
ejpam-6025	43	1	in	in	ADP
ejpam-6025	43	2	section	section	NOUN
ejpam-6025	43	3	3	3	NUM
ejpam-6025	43	4	,	,	PUNCT
ejpam-6025	43	5	we	we	PRON
ejpam-6025	43	6	deal	deal	VERB
ejpam-6025	43	7	with	with	ADP
ejpam-6025	43	8	the	the	DET
ejpam-6025	43	9	choice	choice	NOUN
ejpam-6025	43	10	of	of	ADP
ejpam-6025	43	11	method	method	NOUN
ejpam-6025	43	12	.	.	PUNCT
ejpam-6025	44	1	in	in	ADP
ejpam-6025	44	2	section	section	NOUN
ejpam-6025	44	3	4	4	NUM
ejpam-6025	44	4	,	,	PUNCT
ejpam-6025	44	5	we	we	PRON
ejpam-6025	44	6	present	present	VERB
ejpam-6025	44	7	the	the	DET
ejpam-6025	44	8	method	method	NOUN
ejpam-6025	44	9	for	for	ADP
ejpam-6025	44	10	selecting	select	VERB
ejpam-6025	44	11	the	the	DET
ejpam-6025	44	12	ten	ten	NUM
ejpam-6025	44	13	best	good	ADJ
ejpam-6025	44	14	assets	asset	NOUN
ejpam-6025	44	15	using	use	VERB
ejpam-6025	44	16	the	the	DET
ejpam-6025	44	17	algorithm	algorithm	NOUN
ejpam-6025	44	18	we	we	PRON
ejpam-6025	44	19	have	have	AUX
ejpam-6025	44	20	developed	develop	VERB
ejpam-6025	44	21	,	,	PUNCT
ejpam-6025	44	22	and	and	CCONJ
ejpam-6025	44	23	the	the	DET
ejpam-6025	44	24	heuristic	heuristic	ADJ
ejpam-6025	44	25	optimization	optimization	NOUN
ejpam-6025	44	26	algorithms	algorithm	NOUN
ejpam-6025	44	27	using	use	VERB
ejpam-6025	44	28	genetic	genetic	ADJ
ejpam-6025	44	29	algorithms	algorithm	NOUN
ejpam-6025	44	30	and	and	CCONJ
ejpam-6025	44	31	particle	particle	NOUN
ejpam-6025	44	32	swarm	swarm	NOUN
ejpam-6025	44	33	optimization	optimization	NOUN
ejpam-6025	44	34	to	to	ADP
ejpam-6025	44	35	the	the	DET
ejpam-6025	44	36	extracted	extract	VERB
ejpam-6025	44	37	portfolio	portfolio	NOUN
ejpam-6025	44	38	.	.	PUNCT
ejpam-6025	45	1	finally	finally	ADV
ejpam-6025	45	2	,	,	PUNCT
ejpam-6025	45	3	a	a	DET
ejpam-6025	45	4	numerical	numerical	ADJ
ejpam-6025	45	5	application	application	NOUN
ejpam-6025	45	6	is	be	AUX
ejpam-6025	45	7	considered	consider	VERB
ejpam-6025	45	8	to	to	PART
ejpam-6025	45	9	describe	describe	VERB
ejpam-6025	45	10	the	the	DET
ejpam-6025	45	11	performance	performance	NOUN
ejpam-6025	45	12	of	of	ADP
ejpam-6025	45	13	our	our	PRON
ejpam-6025	45	14	approach	approach	NOUN
ejpam-6025	45	15	.	.	PUNCT
ejpam-6025	46	1	ch	ch	NOUN
ejpam-6025	46	2	.	.	PUNCT
ejpam-6025	47	1	ahmed	ahmed	PROPN
ejpam-6025	47	2	baba	baba	PROPN
ejpam-6025	47	3	,	,	PUNCT
ejpam-6025	47	4	a.	a.	PROPN
ejpam-6025	47	5	ka	ka	PROPN
ejpam-6025	47	6	dionque	dionque	PROPN
ejpam-6025	47	7	/	/	SYM
ejpam-6025	47	8	eur	eur	PROPN
ejpam-6025	47	9	.	.	PUNCT
ejpam-6025	48	1	j.	j.	PROPN
ejpam-6025	48	2	pure	pure	PROPN
ejpam-6025	48	3	appl	appl	PROPN
ejpam-6025	48	4	.	.	PROPN
ejpam-6025	48	5	math	math	PROPN
ejpam-6025	48	6	,	,	PUNCT
ejpam-6025	48	7	18	18	NUM
ejpam-6025	48	8	(	(	PUNCT
ejpam-6025	48	9	3	3	NUM
ejpam-6025	48	10	)	)	PUNCT
ejpam-6025	48	11	(	(	PUNCT
ejpam-6025	48	12	2025	2025	NUM
ejpam-6025	48	13	)	)	PUNCT
ejpam-6025	48	14	,	,	PUNCT
ejpam-6025	48	15	6025	6025	NUM
ejpam-6025	48	16	3	3	NUM
ejpam-6025	48	17	of	of	ADP
ejpam-6025	48	18	19	19	NUM
ejpam-6025	48	19	2	2	NUM
ejpam-6025	48	20	.	.	PUNCT
ejpam-6025	48	21	representation	representation	NOUN
ejpam-6025	48	22	methods	method	NOUN
ejpam-6025	48	23	in	in	ADP
ejpam-6025	48	24	this	this	DET
ejpam-6025	48	25	study	study	NOUN
ejpam-6025	48	26	,	,	PUNCT
ejpam-6025	48	27	we	we	PRON
ejpam-6025	48	28	work	work	VERB
ejpam-6025	48	29	with	with	ADP
ejpam-6025	48	30	historical	historical	ADJ
ejpam-6025	48	31	daily	daily	ADJ
ejpam-6025	48	32	financial	financial	ADJ
ejpam-6025	48	33	data	datum	NOUN
ejpam-6025	48	34	from	from	ADP
ejpam-6025	48	35	multiple	multiple	ADJ
ejpam-6025	48	36	asset	asset	NOUN
ejpam-6025	48	37	classes	class	NOUN
ejpam-6025	48	38	:	:	PUNCT
ejpam-6025	48	39	equities	equity	NOUN
ejpam-6025	48	40	,	,	PUNCT
ejpam-6025	48	41	indices	index	NOUN
ejpam-6025	48	42	,	,	PUNCT
ejpam-6025	48	43	interest	interest	NOUN
ejpam-6025	48	44	rates	rate	NOUN
ejpam-6025	48	45	,	,	PUNCT
ejpam-6025	48	46	credit	credit	NOUN
ejpam-6025	48	47	instruments	instrument	NOUN
ejpam-6025	48	48	,	,	PUNCT
ejpam-6025	48	49	currencies	currency	NOUN
ejpam-6025	48	50	,	,	PUNCT
ejpam-6025	48	51	and	and	CCONJ
ejpam-6025	48	52	commodities	commodity	NOUN
ejpam-6025	48	53	.	.	PUNCT
ejpam-6025	49	1	to	to	PART
ejpam-6025	49	2	meaningfully	meaningfully	ADV
ejpam-6025	49	3	exploit	exploit	VERB
ejpam-6025	49	4	this	this	DET
ejpam-6025	49	5	raw	raw	ADJ
ejpam-6025	49	6	information	information	NOUN
ejpam-6025	49	7	,	,	PUNCT
ejpam-6025	49	8	a	a	DET
ejpam-6025	49	9	structured	structured	ADJ
ejpam-6025	49	10	representation	representation	NOUN
ejpam-6025	49	11	of	of	ADP
ejpam-6025	49	12	time	time	NOUN
ejpam-6025	49	13	series	series	NOUN
ejpam-6025	49	14	is	be	AUX
ejpam-6025	49	15	essential	essential	ADJ
ejpam-6025	49	16	.	.	PUNCT
ejpam-6025	50	1	we	we	PRON
ejpam-6025	50	2	chose	choose	VERB
ejpam-6025	50	3	to	to	PART
ejpam-6025	50	4	represent	represent	VERB
ejpam-6025	50	5	these	these	DET
ejpam-6025	50	6	time	time	NOUN
ejpam-6025	50	7	series	series	NOUN
ejpam-6025	50	8	using	use	VERB
ejpam-6025	50	9	piecewise	piecewise	PROPN
ejpam-6025	50	10	linear	linear	PROPN
ejpam-6025	50	11	approximation	approximation	NOUN
ejpam-6025	50	12	,	,	PUNCT
ejpam-6025	50	13	a	a	DET
ejpam-6025	50	14	method	method	NOUN
ejpam-6025	50	15	that	that	PRON
ejpam-6025	50	16	involves	involve	VERB
ejpam-6025	50	17	dividing	divide	VERB
ejpam-6025	50	18	the	the	DET
ejpam-6025	50	19	series	series	NOUN
ejpam-6025	50	20	into	into	ADP
ejpam-6025	50	21	homogeneous	homogeneous	ADJ
ejpam-6025	50	22	segments	segment	NOUN
ejpam-6025	50	23	and	and	CCONJ
ejpam-6025	50	24	modeling	model	VERB
ejpam-6025	50	25	their	their	PRON
ejpam-6025	50	26	behavior	behavior	NOUN
ejpam-6025	50	27	locally	locally	ADV
ejpam-6025	50	28	using	use	VERB
ejpam-6025	50	29	simple	simple	ADJ
ejpam-6025	50	30	functions	function	NOUN
ejpam-6025	50	31	(	(	PUNCT
ejpam-6025	50	32	e.g.	e.g.	ADV
ejpam-6025	50	33	,	,	PUNCT
ejpam-6025	50	34	linear	linear	ADJ
ejpam-6025	50	35	)	)	PUNCT
ejpam-6025	50	36	.	.	PUNCT
ejpam-6025	51	1	this	this	DET
ejpam-6025	51	2	approach	approach	NOUN
ejpam-6025	51	3	is	be	AUX
ejpam-6025	51	4	particularly	particularly	ADV
ejpam-6025	51	5	suited	suit	VERB
ejpam-6025	51	6	to	to	ADP
ejpam-6025	51	7	the	the	DET
ejpam-6025	51	8	nature	nature	NOUN
ejpam-6025	51	9	of	of	ADP
ejpam-6025	51	10	financial	financial	ADJ
ejpam-6025	51	11	time	time	NOUN
ejpam-6025	51	12	series	series	NOUN
ejpam-6025	51	13	,	,	PUNCT
ejpam-6025	51	14	which	which	PRON
ejpam-6025	51	15	typically	typically	ADV
ejpam-6025	51	16	exhibit	exhibit	VERB
ejpam-6025	51	17	stable	stable	ADJ
ejpam-6025	51	18	regime	regime	NOUN
ejpam-6025	51	19	phases	phase	NOUN
ejpam-6025	51	20	interspersed	intersperse	VERB
ejpam-6025	51	21	with	with	ADP
ejpam-6025	51	22	trend	trend	NOUN
ejpam-6025	51	23	changes	change	NOUN
ejpam-6025	51	24	.	.	PUNCT
ejpam-6025	52	1	thus	thus	ADV
ejpam-6025	52	2	,	,	PUNCT
ejpam-6025	52	3	this	this	DET
ejpam-6025	52	4	method	method	NOUN
ejpam-6025	52	5	not	not	PART
ejpam-6025	52	6	only	only	ADV
ejpam-6025	52	7	simplifies	simplify	VERB
ejpam-6025	52	8	the	the	DET
ejpam-6025	52	9	series	series	NOUN
ejpam-6025	52	10	but	but	CCONJ
ejpam-6025	52	11	also	also	ADV
ejpam-6025	52	12	highlights	highlight	VERB
ejpam-6025	52	13	the	the	DET
ejpam-6025	52	14	underlying	underlie	VERB
ejpam-6025	52	15	economic	economic	ADJ
ejpam-6025	52	16	regimes	regime	NOUN
ejpam-6025	52	17	,	,	PUNCT
ejpam-6025	52	18	providing	provide	VERB
ejpam-6025	52	19	a	a	DET
ejpam-6025	52	20	solid	solid	ADJ
ejpam-6025	52	21	foundation	foundation	NOUN
ejpam-6025	52	22	for	for	ADP
ejpam-6025	52	23	analysis	analysis	NOUN
ejpam-6025	52	24	,	,	PUNCT
ejpam-6025	52	25	interpretation	interpretation	NOUN
ejpam-6025	52	26	,	,	PUNCT
ejpam-6025	52	27	and	and	CCONJ
ejpam-6025	52	28	portfolio	portfolio	NOUN
ejpam-6025	52	29	optimization	optimization	NOUN
ejpam-6025	52	30	.	.	PUNCT
ejpam-6025	53	1	2.1	2.1	NUM
ejpam-6025	53	2	.	.	PUNCT
ejpam-6025	54	1	piecewise	piecewise	NOUN
ejpam-6025	54	2	approximation	approximation	NOUN
ejpam-6025	54	3	:	:	PUNCT
ejpam-6025	54	4	principles	principle	NOUN
ejpam-6025	54	5	and	and	CCONJ
ejpam-6025	54	6	justification	justification	NOUN
ejpam-6025	54	7	piecewise	piecewise	NOUN
ejpam-6025	54	8	approximation	approximation	NOUN
ejpam-6025	54	9	is	be	AUX
ejpam-6025	54	10	based	base	VERB
ejpam-6025	54	11	on	on	ADP
ejpam-6025	54	12	the	the	DET
ejpam-6025	54	13	assumption	assumption	NOUN
ejpam-6025	54	14	that	that	SCONJ
ejpam-6025	54	15	time	time	NOUN
ejpam-6025	54	16	series	series	PROPN
ejpam-6025	54	17	can	can	AUX
ejpam-6025	54	18	be	be	AUX
ejpam-6025	54	19	divided	divide	VERB
ejpam-6025	54	20	into	into	ADP
ejpam-6025	54	21	homogeneous	homogeneous	ADJ
ejpam-6025	54	22	periods	period	NOUN
ejpam-6025	54	23	—	—	PUNCT
ejpam-6025	54	24	that	that	PRON
ejpam-6025	54	25	is	be	AUX
ejpam-6025	54	26	,	,	PUNCT
ejpam-6025	54	27	subintervals	subinterval	NOUN
ejpam-6025	54	28	where	where	SCONJ
ejpam-6025	54	29	price	price	NOUN
ejpam-6025	54	30	behavior	behavior	NOUN
ejpam-6025	54	31	remains	remain	VERB
ejpam-6025	54	32	relatively	relatively	ADV
ejpam-6025	54	33	stable	stable	ADJ
ejpam-6025	54	34	.	.	PUNCT
ejpam-6025	55	1	this	this	DET
ejpam-6025	55	2	assumption	assumption	NOUN
ejpam-6025	55	3	is	be	AUX
ejpam-6025	55	4	economically	economically	ADV
ejpam-6025	55	5	justified	justified	ADJ
ejpam-6025	55	6	:	:	PUNCT
ejpam-6025	55	7	financial	financial	ADJ
ejpam-6025	55	8	assets	asset	NOUN
ejpam-6025	55	9	evolve	evolve	VERB
ejpam-6025	55	10	in	in	ADP
ejpam-6025	55	11	environments	environment	NOUN
ejpam-6025	55	12	that	that	PRON
ejpam-6025	55	13	change	change	VERB
ejpam-6025	55	14	over	over	ADP
ejpam-6025	55	15	time	time	NOUN
ejpam-6025	55	16	(	(	PUNCT
ejpam-6025	55	17	monetary	monetary	ADJ
ejpam-6025	55	18	policy	policy	NOUN
ejpam-6025	55	19	shifts	shift	NOUN
ejpam-6025	55	20	,	,	PUNCT
ejpam-6025	55	21	macroeconomic	macroeconomic	ADJ
ejpam-6025	55	22	shocks	shock	NOUN
ejpam-6025	55	23	,	,	PUNCT
ejpam-6025	55	24	crises	crisis	NOUN
ejpam-6025	55	25	,	,	PUNCT
ejpam-6025	55	26	recoveries	recovery	NOUN
ejpam-6025	55	27	,	,	PUNCT
ejpam-6025	55	28	etc	etc	X
ejpam-6025	55	29	.	.	X
ejpam-6025	55	30	)	)	PUNCT
ejpam-6025	55	31	,	,	PUNCT
ejpam-6025	55	32	leading	lead	VERB
ejpam-6025	55	33	to	to	ADP
ejpam-6025	55	34	changes	change	NOUN
ejpam-6025	55	35	in	in	ADP
ejpam-6025	55	36	trends	trend	NOUN
ejpam-6025	55	37	or	or	CCONJ
ejpam-6025	55	38	volatility	volatility	NOUN
ejpam-6025	55	39	in	in	ADP
ejpam-6025	55	40	prices	price	NOUN
ejpam-6025	55	41	.	.	PUNCT
ejpam-6025	56	1	this	this	DET
ejpam-6025	56	2	type	type	NOUN
ejpam-6025	56	3	of	of	ADP
ejpam-6025	56	4	method	method	NOUN
ejpam-6025	56	5	has	have	AUX
ejpam-6025	56	6	attracted	attract	VERB
ejpam-6025	56	7	significant	significant	ADJ
ejpam-6025	56	8	interest	interest	NOUN
ejpam-6025	56	9	in	in	ADP
ejpam-6025	56	10	the	the	DET
ejpam-6025	56	11	field	field	NOUN
ejpam-6025	56	12	of	of	ADP
ejpam-6025	56	13	financial	financial	ADJ
ejpam-6025	56	14	analysis	analysis	NOUN
ejpam-6025	56	15	(	(	PUNCT
ejpam-6025	56	16	see	see	VERB
ejpam-6025	56	17	[	[	X
ejpam-6025	56	18	10	10	NUM
ejpam-6025	56	19	,	,	PUNCT
ejpam-6025	56	20	11	11	NUM
ejpam-6025	56	21	]	]	NUM
ejpam-6025	56	22	)	)	PUNCT
ejpam-6025	56	23	,	,	PUNCT
ejpam-6025	56	24	as	as	SCONJ
ejpam-6025	56	25	it	it	PRON
ejpam-6025	56	26	enables	enable	VERB
ejpam-6025	56	27	local	local	ADJ
ejpam-6025	56	28	modeling	modeling	NOUN
ejpam-6025	56	29	of	of	ADP
ejpam-6025	56	30	the	the	DET
ejpam-6025	56	31	signal	signal	NOUN
ejpam-6025	56	32	y(t	y(t	PROPN
ejpam-6025	56	33	)	)	PUNCT
ejpam-6025	56	34	over	over	ADP
ejpam-6025	56	35	k	k	PROPN
ejpam-6025	56	36	distinct	distinct	ADJ
ejpam-6025	56	37	segments	segment	NOUN
ejpam-6025	56	38	.	.	PUNCT
ejpam-6025	57	1	each	each	DET
ejpam-6025	57	2	segment	segment	NOUN
ejpam-6025	57	3	is	be	AUX
ejpam-6025	57	4	defined	define	VERB
ejpam-6025	57	5	by	by	ADP
ejpam-6025	57	6	:	:	PUNCT
ejpam-6025	57	7	∀t	∀t	PROPN
ejpam-6025	57	8	∈	∈	PROPN
ejpam-6025	58	1	[	[	X
ejpam-6025	58	2	ti−1	ti−1	NOUN
ejpam-6025	58	3	,	,	PUNCT
ejpam-6025	58	4	ti	ti	NOUN
ejpam-6025	58	5	]	]	X
ejpam-6025	58	6	,	,	PUNCT
ejpam-6025	58	7	y(t	y(t	NUM
ejpam-6025	58	8	)	)	PUNCT
ejpam-6025	58	9	=	=	SYM
ejpam-6025	58	10	fi(t	fi(t	X
ejpam-6025	58	11	)	)	PUNCT
ejpam-6025	58	12	+	+	CCONJ
ejpam-6025	58	13	εi(t	εi(t	NOUN
ejpam-6025	58	14	)	)	PUNCT
ejpam-6025	58	15	,	,	PUNCT
ejpam-6025	58	16	where	where	SCONJ
ejpam-6025	58	17	fi	fi	NOUN
ejpam-6025	58	18	is	be	AUX
ejpam-6025	58	19	a	a	DET
ejpam-6025	58	20	deterministic	deterministic	ADJ
ejpam-6025	58	21	function	function	NOUN
ejpam-6025	58	22	(	(	PUNCT
ejpam-6025	58	23	typically	typically	ADV
ejpam-6025	58	24	affine	affine	ADJ
ejpam-6025	58	25	)	)	PUNCT
ejpam-6025	58	26	,	,	PUNCT
ejpam-6025	58	27	and	and	CCONJ
ejpam-6025	58	28	εi	εi	VERB
ejpam-6025	58	29	is	be	AUX
ejpam-6025	58	30	a	a	DET
ejpam-6025	58	31	centered	center	VERB
ejpam-6025	58	32	noise	noise	NOUN
ejpam-6025	58	33	.	.	PUNCT
ejpam-6025	59	1	this	this	DET
ejpam-6025	59	2	representation	representation	NOUN
ejpam-6025	59	3	offers	offer	VERB
ejpam-6025	59	4	several	several	ADJ
ejpam-6025	59	5	major	major	ADJ
ejpam-6025	59	6	advantages	advantage	NOUN
ejpam-6025	59	7	:	:	PUNCT
ejpam-6025	59	8	•	•	NUM
ejpam-6025	59	9	it	it	PRON
ejpam-6025	59	10	reduces	reduce	VERB
ejpam-6025	59	11	data	datum	NOUN
ejpam-6025	59	12	dimensionality	dimensionality	NOUN
ejpam-6025	59	13	by	by	ADP
ejpam-6025	59	14	summarizing	summarize	VERB
ejpam-6025	59	15	each	each	DET
ejpam-6025	59	16	segment	segment	NOUN
ejpam-6025	59	17	with	with	ADP
ejpam-6025	59	18	a	a	DET
ejpam-6025	59	19	small	small	ADJ
ejpam-6025	59	20	number	number	NOUN
ejpam-6025	59	21	of	of	ADP
ejpam-6025	59	22	interpretable	interpretable	ADJ
ejpam-6025	59	23	parameters	parameter	NOUN
ejpam-6025	59	24	(	(	PUNCT
ejpam-6025	59	25	slope	slope	NOUN
ejpam-6025	59	26	,	,	PUNCT
ejpam-6025	59	27	duration	duration	NOUN
ejpam-6025	59	28	,	,	PUNCT
ejpam-6025	59	29	variance	variance	NOUN
ejpam-6025	59	30	)	)	PUNCT
ejpam-6025	59	31	.	.	PUNCT
ejpam-6025	60	1	•	•	INTJ
ejpam-6025	60	2	it	it	PRON
ejpam-6025	60	3	provides	provide	VERB
ejpam-6025	60	4	a	a	DET
ejpam-6025	60	5	structured	structured	ADJ
ejpam-6025	60	6	and	and	CCONJ
ejpam-6025	60	7	economically	economically	ADV
ejpam-6025	60	8	meaningful	meaningful	ADJ
ejpam-6025	60	9	view	view	NOUN
ejpam-6025	60	10	of	of	ADP
ejpam-6025	60	11	price	price	NOUN
ejpam-6025	60	12	evolution	evolution	NOUN
ejpam-6025	60	13	,	,	PUNCT
ejpam-6025	60	14	whereas	whereas	SCONJ
ejpam-6025	60	15	more	more	ADV
ejpam-6025	60	16	global	global	ADJ
ejpam-6025	60	17	or	or	CCONJ
ejpam-6025	60	18	mathematical	mathematical	ADJ
ejpam-6025	60	19	approaches	approach	NOUN
ejpam-6025	60	20	(	(	PUNCT
ejpam-6025	60	21	filtering	filtering	NOUN
ejpam-6025	60	22	,	,	PUNCT
ejpam-6025	60	23	wavelets	wavelet	NOUN
ejpam-6025	60	24	,	,	PUNCT
ejpam-6025	60	25	regularization	regularization	NOUN
ejpam-6025	60	26	)	)	PUNCT
ejpam-6025	60	27	often	often	ADV
ejpam-6025	60	28	lack	lack	VERB
ejpam-6025	60	29	interpretability	interpretability	NOUN
ejpam-6025	60	30	.	.	PUNCT
ejpam-6025	61	1	•	•	INTJ
ejpam-6025	61	2	it	it	PRON
ejpam-6025	61	3	facilitates	facilitate	VERB
ejpam-6025	61	4	regime	regime	NOUN
ejpam-6025	61	5	break	break	NOUN
ejpam-6025	61	6	detection	detection	NOUN
ejpam-6025	61	7	by	by	ADP
ejpam-6025	61	8	identifying	identify	VERB
ejpam-6025	61	9	trend	trend	NOUN
ejpam-6025	61	10	change	change	NOUN
ejpam-6025	61	11	points	point	NOUN
ejpam-6025	61	12	,	,	PUNCT
ejpam-6025	61	13	which	which	PRON
ejpam-6025	61	14	is	be	AUX
ejpam-6025	61	15	essential	essential	ADJ
ejpam-6025	61	16	for	for	ADP
ejpam-6025	61	17	financial	financial	ADJ
ejpam-6025	61	18	decision	decision	NOUN
ejpam-6025	61	19	-	-	PUNCT
ejpam-6025	61	20	making	making	NOUN
ejpam-6025	61	21	.	.	PUNCT
ejpam-6025	62	1	the	the	DET
ejpam-6025	62	2	main	main	ADJ
ejpam-6025	62	3	challenge	challenge	NOUN
ejpam-6025	62	4	of	of	ADP
ejpam-6025	62	5	this	this	DET
ejpam-6025	62	6	method	method	NOUN
ejpam-6025	62	7	lies	lie	VERB
ejpam-6025	62	8	not	not	PART
ejpam-6025	62	9	in	in	ADP
ejpam-6025	62	10	estimating	estimate	VERB
ejpam-6025	62	11	the	the	DET
ejpam-6025	62	12	segments	segment	NOUN
ejpam-6025	62	13	themselves	themselves	PRON
ejpam-6025	62	14	,	,	PUNCT
ejpam-6025	62	15	but	but	CCONJ
ejpam-6025	62	16	in	in	ADP
ejpam-6025	62	17	detecting	detect	VERB
ejpam-6025	62	18	the	the	DET
ejpam-6025	62	19	breakpoints	breakpoint	NOUN
ejpam-6025	62	20	—	—	PUNCT
ejpam-6025	62	21	a	a	DET
ejpam-6025	62	22	well	well	ADV
ejpam-6025	62	23	-	-	PUNCT
ejpam-6025	62	24	known	know	VERB
ejpam-6025	62	25	problem	problem	NOUN
ejpam-6025	62	26	in	in	ADP
ejpam-6025	62	27	statistics	statistic	NOUN
ejpam-6025	62	28	(	(	PUNCT
ejpam-6025	62	29	[	[	X
ejpam-6025	62	30	12	12	NUM
ejpam-6025	62	31	,	,	PUNCT
ejpam-6025	62	32	13	13	NUM
ejpam-6025	62	33	]	]	NUM
ejpam-6025	62	34	)	)	PUNCT
ejpam-6025	62	35	.	.	PUNCT
ejpam-6025	63	1	recent	recent	ADJ
ejpam-6025	63	2	work	work	NOUN
ejpam-6025	63	3	(	(	PUNCT
ejpam-6025	63	4	[	[	X
ejpam-6025	63	5	14–16	14–16	NUM
ejpam-6025	63	6	]	]	PUNCT
ejpam-6025	63	7	)	)	PUNCT
ejpam-6025	63	8	has	have	AUX
ejpam-6025	63	9	proposed	propose	VERB
ejpam-6025	63	10	effective	effective	ADJ
ejpam-6025	63	11	solutions	solution	NOUN
ejpam-6025	63	12	,	,	PUNCT
ejpam-6025	63	13	even	even	ADV
ejpam-6025	63	14	in	in	ADP
ejpam-6025	63	15	the	the	DET
ejpam-6025	63	16	presence	presence	NOUN
ejpam-6025	63	17	of	of	ADP
ejpam-6025	63	18	dependent	dependent	ADJ
ejpam-6025	63	19	data	datum	NOUN
ejpam-6025	63	20	and	and	CCONJ
ejpam-6025	63	21	an	an	DET
ejpam-6025	63	22	unknown	unknown	ADJ
ejpam-6025	63	23	number	number	NOUN
ejpam-6025	63	24	of	of	ADP
ejpam-6025	63	25	breakpoints	breakpoint	NOUN
ejpam-6025	63	26	.	.	PUNCT
ejpam-6025	64	1	three	three	NUM
ejpam-6025	64	2	main	main	ADJ
ejpam-6025	64	3	segmentation	segmentation	NOUN
ejpam-6025	64	4	approaches	approach	NOUN
ejpam-6025	64	5	exist	exist	VERB
ejpam-6025	64	6	(	(	PUNCT
ejpam-6025	64	7	[	[	X
ejpam-6025	64	8	12	12	NUM
ejpam-6025	64	9	]	]	PUNCT
ejpam-6025	64	10	):	):	PUNCT
ejpam-6025	64	11	•	•	NUM
ejpam-6025	64	12	sliding	slide	VERB
ejpam-6025	64	13	window	window	NOUN
ejpam-6025	64	14	:	:	PUNCT
ejpam-6025	64	15	progressive	progressive	ADJ
ejpam-6025	64	16	construction	construction	NOUN
ejpam-6025	64	17	of	of	ADP
ejpam-6025	64	18	segments	segment	NOUN
ejpam-6025	64	19	.	.	PUNCT
ejpam-6025	65	1	ch	ch	NOUN
ejpam-6025	65	2	.	.	PUNCT
ejpam-6025	66	1	ahmed	ahmed	PROPN
ejpam-6025	66	2	baba	baba	PROPN
ejpam-6025	66	3	,	,	PUNCT
ejpam-6025	66	4	a.	a.	PROPN
ejpam-6025	66	5	ka	ka	PROPN
ejpam-6025	66	6	dionque	dionque	PROPN
ejpam-6025	66	7	/	/	SYM
ejpam-6025	66	8	eur	eur	PROPN
ejpam-6025	66	9	.	.	PUNCT
ejpam-6025	67	1	j.	j.	PROPN
ejpam-6025	67	2	pure	pure	PROPN
ejpam-6025	67	3	appl	appl	PROPN
ejpam-6025	67	4	.	.	PROPN
ejpam-6025	67	5	math	math	PROPN
ejpam-6025	67	6	,	,	PUNCT
ejpam-6025	67	7	18	18	NUM
ejpam-6025	67	8	(	(	PUNCT
ejpam-6025	67	9	3	3	NUM
ejpam-6025	67	10	)	)	PUNCT
ejpam-6025	67	11	(	(	PUNCT
ejpam-6025	67	12	2025	2025	NUM
ejpam-6025	67	13	)	)	PUNCT
ejpam-6025	67	14	,	,	PUNCT
ejpam-6025	67	15	6025	6025	NUM
ejpam-6025	67	16	4	4	NUM
ejpam-6025	67	17	of	of	ADP
ejpam-6025	67	18	19	19	NUM
ejpam-6025	67	19	•	•	NOUN
ejpam-6025	67	20	top	top	NOUN
ejpam-6025	67	21	-	-	PUNCT
ejpam-6025	67	22	down	down	NOUN
ejpam-6025	67	23	:	:	PUNCT
ejpam-6025	67	24	recursive	recursive	ADJ
ejpam-6025	67	25	division	division	NOUN
ejpam-6025	67	26	of	of	ADP
ejpam-6025	67	27	a	a	DET
ejpam-6025	67	28	global	global	ADJ
ejpam-6025	67	29	segment	segment	NOUN
ejpam-6025	67	30	.	.	PUNCT
ejpam-6025	68	1	•	•	NOUN
ejpam-6025	68	2	bottom	bottom	ADP
ejpam-6025	68	3	-	-	PUNCT
ejpam-6025	68	4	up	up	NOUN
ejpam-6025	68	5	:	:	PUNCT
ejpam-6025	68	6	recursive	recursive	ADJ
ejpam-6025	68	7	merging	merging	NOUN
ejpam-6025	68	8	of	of	ADP
ejpam-6025	68	9	elementary	elementary	ADJ
ejpam-6025	68	10	segments	segment	NOUN
ejpam-6025	68	11	.	.	PUNCT
ejpam-6025	69	1	2.2	2.2	NUM
ejpam-6025	69	2	.	.	PUNCT
ejpam-6025	70	1	why	why	SCONJ
ejpam-6025	70	2	this	this	DET
ejpam-6025	70	3	method	method	NOUN
ejpam-6025	70	4	?	?	PUNCT
ejpam-6025	71	1	the	the	DET
ejpam-6025	71	2	choice	choice	NOUN
ejpam-6025	71	3	of	of	ADP
ejpam-6025	71	4	piecewise	piecewise	NOUN
ejpam-6025	71	5	linear	linear	NOUN
ejpam-6025	71	6	approximation	approximation	NOUN
ejpam-6025	71	7	is	be	AUX
ejpam-6025	71	8	based	base	VERB
ejpam-6025	71	9	on	on	ADP
ejpam-6025	71	10	the	the	DET
ejpam-6025	71	11	search	search	NOUN
ejpam-6025	71	12	for	for	ADP
ejpam-6025	71	13	a	a	DET
ejpam-6025	71	14	balance	balance	NOUN
ejpam-6025	71	15	between	between	ADP
ejpam-6025	71	16	accuracy	accuracy	NOUN
ejpam-6025	71	17	,	,	PUNCT
ejpam-6025	71	18	simplicity	simplicity	NOUN
ejpam-6025	71	19	,	,	PUNCT
ejpam-6025	71	20	and	and	CCONJ
ejpam-6025	71	21	interpretability	interpretability	NOUN
ejpam-6025	71	22	:	:	PUNCT
ejpam-6025	71	23	•	•	NUM
ejpam-6025	71	24	economic	economic	ADJ
ejpam-6025	71	25	interpretability	interpretability	NOUN
ejpam-6025	71	26	:	:	PUNCT
ejpam-6025	71	27	unlike	unlike	ADP
ejpam-6025	71	28	other	other	ADJ
ejpam-6025	71	29	methods	method	NOUN
ejpam-6025	71	30	(	(	PUNCT
ejpam-6025	71	31	frequency	frequency	NOUN
ejpam-6025	71	32	filtering	filtering	NOUN
ejpam-6025	71	33	,	,	PUNCT
ejpam-6025	71	34	wavelets	wavelet	NOUN
ejpam-6025	71	35	,	,	PUNCT
ejpam-6025	71	36	regularization	regularization	NOUN
ejpam-6025	71	37	)	)	PUNCT
ejpam-6025	71	38	,	,	PUNCT
ejpam-6025	71	39	this	this	DET
ejpam-6025	71	40	approach	approach	NOUN
ejpam-6025	71	41	allows	allow	VERB
ejpam-6025	71	42	direct	direct	ADJ
ejpam-6025	71	43	reading	reading	NOUN
ejpam-6025	71	44	of	of	ADP
ejpam-6025	71	45	trends	trend	NOUN
ejpam-6025	71	46	,	,	PUNCT
ejpam-6025	71	47	market	market	NOUN
ejpam-6025	71	48	reversals	reversal	NOUN
ejpam-6025	71	49	,	,	PUNCT
ejpam-6025	71	50	and	and	CCONJ
ejpam-6025	71	51	volatility	volatility	NOUN
ejpam-6025	71	52	.	.	PUNCT
ejpam-6025	72	1	each	each	DET
ejpam-6025	72	2	segment	segment	NOUN
ejpam-6025	72	3	can	can	AUX
ejpam-6025	72	4	be	be	AUX
ejpam-6025	72	5	interpreted	interpret	VERB
ejpam-6025	72	6	as	as	ADP
ejpam-6025	72	7	an	an	DET
ejpam-6025	72	8	identifiable	identifiable	ADJ
ejpam-6025	72	9	economic	economic	ADJ
ejpam-6025	72	10	or	or	CCONJ
ejpam-6025	72	11	financial	financial	ADJ
ejpam-6025	72	12	regime	regime	NOUN
ejpam-6025	72	13	.	.	PUNCT
ejpam-6025	73	1	•	•	NUM
ejpam-6025	73	2	relevance	relevance	NOUN
ejpam-6025	73	3	to	to	ADP
ejpam-6025	73	4	financial	financial	ADJ
ejpam-6025	73	5	data	datum	NOUN
ejpam-6025	73	6	:	:	PUNCT
ejpam-6025	73	7	it	it	PRON
ejpam-6025	73	8	is	be	AUX
ejpam-6025	73	9	widely	widely	ADV
ejpam-6025	73	10	acknowledged	acknowledge	VERB
ejpam-6025	73	11	that	that	SCONJ
ejpam-6025	73	12	financial	financial	ADJ
ejpam-6025	73	13	series	series	NOUN
ejpam-6025	73	14	go	go	VERB
ejpam-6025	73	15	through	through	ADP
ejpam-6025	73	16	periods	period	NOUN
ejpam-6025	73	17	of	of	ADP
ejpam-6025	73	18	stability	stability	NOUN
ejpam-6025	73	19	,	,	PUNCT
ejpam-6025	73	20	interspersed	intersperse	VERB
ejpam-6025	73	21	with	with	ADP
ejpam-6025	73	22	abrupt	abrupt	ADJ
ejpam-6025	73	23	or	or	CCONJ
ejpam-6025	73	24	gradual	gradual	ADJ
ejpam-6025	73	25	regime	regime	NOUN
ejpam-6025	73	26	changes	change	NOUN
ejpam-6025	73	27	.	.	PUNCT
ejpam-6025	74	1	segmentation	segmentation	NOUN
ejpam-6025	74	2	allows	allow	VERB
ejpam-6025	74	3	explicit	explicit	ADJ
ejpam-6025	74	4	identification	identification	NOUN
ejpam-6025	74	5	of	of	ADP
ejpam-6025	74	6	these	these	DET
ejpam-6025	74	7	breaks	break	NOUN
ejpam-6025	74	8	(	(	PUNCT
ejpam-6025	74	9	[	[	X
ejpam-6025	74	10	17	17	NUM
ejpam-6025	74	11	]	]	NUM
ejpam-6025	74	12	)	)	PUNCT
ejpam-6025	74	13	.	.	PUNCT
ejpam-6025	75	1	•	•	NUM
ejpam-6025	75	2	intuitive	intuitive	ADJ
ejpam-6025	75	3	modeling	modeling	NOUN
ejpam-6025	75	4	:	:	PUNCT
ejpam-6025	75	5	using	use	VERB
ejpam-6025	75	6	linear	linear	ADJ
ejpam-6025	75	7	or	or	CCONJ
ejpam-6025	75	8	exponential	exponential	ADJ
ejpam-6025	75	9	functions	function	NOUN
ejpam-6025	75	10	to	to	PART
ejpam-6025	75	11	model	model	VERB
ejpam-6025	75	12	each	each	DET
ejpam-6025	75	13	segment	segment	NOUN
ejpam-6025	75	14	is	be	AUX
ejpam-6025	75	15	natural	natural	ADJ
ejpam-6025	75	16	in	in	ADP
ejpam-6025	75	17	finance	finance	NOUN
ejpam-6025	75	18	,	,	PUNCT
ejpam-6025	75	19	and	and	CCONJ
ejpam-6025	75	20	allows	allow	VERB
ejpam-6025	75	21	each	each	DET
ejpam-6025	75	22	period	period	NOUN
ejpam-6025	75	23	to	to	PART
ejpam-6025	75	24	be	be	AUX
ejpam-6025	75	25	characterized	characterize	VERB
ejpam-6025	75	26	by	by	ADP
ejpam-6025	75	27	its	its	PRON
ejpam-6025	75	28	trend	trend	NOUN
ejpam-6025	75	29	and	and	CCONJ
ejpam-6025	75	30	volatility	volatility	NOUN
ejpam-6025	75	31	.	.	PUNCT
ejpam-6025	76	1	•	•	NUM
ejpam-6025	76	2	complexity	complexity	NOUN
ejpam-6025	76	3	control	control	NOUN
ejpam-6025	76	4	:	:	PUNCT
ejpam-6025	76	5	the	the	DET
ejpam-6025	76	6	method	method	NOUN
ejpam-6025	76	7	allows	allow	VERB
ejpam-6025	76	8	the	the	DET
ejpam-6025	76	9	number	number	NOUN
ejpam-6025	76	10	of	of	ADP
ejpam-6025	76	11	segments	segment	NOUN
ejpam-6025	76	12	to	to	PART
ejpam-6025	76	13	be	be	AUX
ejpam-6025	76	14	adapted	adapt	VERB
ejpam-6025	76	15	to	to	ADP
ejpam-6025	76	16	the	the	DET
ejpam-6025	76	17	desired	desire	VERB
ejpam-6025	76	18	level	level	NOUN
ejpam-6025	76	19	of	of	ADP
ejpam-6025	76	20	granularity	granularity	NOUN
ejpam-6025	76	21	.	.	PUNCT
ejpam-6025	77	1	a	a	DET
ejpam-6025	77	2	penalization	penalization	NOUN
ejpam-6025	77	3	criterion	criterion	NOUN
ejpam-6025	77	4	can	can	AUX
ejpam-6025	77	5	be	be	AUX
ejpam-6025	77	6	added	add	VERB
ejpam-6025	77	7	to	to	PART
ejpam-6025	77	8	avoid	avoid	VERB
ejpam-6025	77	9	over	over	ADP
ejpam-6025	77	10	-	-	PUNCT
ejpam-6025	77	11	segmentation	segmentation	NOUN
ejpam-6025	77	12	and	and	CCONJ
ejpam-6025	77	13	maintain	maintain	VERB
ejpam-6025	77	14	an	an	DET
ejpam-6025	77	15	economically	economically	ADV
ejpam-6025	77	16	usable	usable	ADJ
ejpam-6025	77	17	representation	representation	NOUN
ejpam-6025	77	18	.	.	PUNCT
ejpam-6025	78	1	2.3	2.3	NUM
ejpam-6025	78	2	.	.	X
ejpam-6025	79	1	indexing	indexing	NOUN
ejpam-6025	79	2	of	of	ADP
ejpam-6025	79	3	financial	financial	ADJ
ejpam-6025	79	4	series	series	NOUN
ejpam-6025	79	5	we	we	PRON
ejpam-6025	79	6	suggest	suggest	VERB
ejpam-6025	79	7	modeling	model	VERB
ejpam-6025	79	8	financial	financial	ADJ
ejpam-6025	79	9	asset	asset	NOUN
ejpam-6025	79	10	time	time	NOUN
ejpam-6025	79	11	series	series	NOUN
ejpam-6025	79	12	by	by	ADP
ejpam-6025	79	13	estimating	estimate	VERB
ejpam-6025	79	14	local	local	ADJ
ejpam-6025	79	15	trends	trend	NOUN
ejpam-6025	79	16	.	.	PUNCT
ejpam-6025	80	1	thus	thus	ADV
ejpam-6025	80	2	,	,	PUNCT
ejpam-6025	80	3	we	we	PRON
ejpam-6025	80	4	adopt	adopt	VERB
ejpam-6025	80	5	the	the	DET
ejpam-6025	80	6	following	following	ADJ
ejpam-6025	80	7	model	model	NOUN
ejpam-6025	80	8	for	for	ADP
ejpam-6025	80	9	the	the	DET
ejpam-6025	80	10	price	price	NOUN
ejpam-6025	80	11	series	series	NOUN
ejpam-6025	80	12	y(t	y(t	PROPN
ejpam-6025	80	13	)	)	PUNCT
ejpam-6025	80	14	of	of	ADP
ejpam-6025	80	15	a	a	DET
ejpam-6025	80	16	specific	specific	ADJ
ejpam-6025	80	17	asset	asset	NOUN
ejpam-6025	80	18	:	:	PUNCT
ejpam-6025	80	19	there	there	PRON
ejpam-6025	80	20	is	be	VERB
ejpam-6025	80	21	a	a	DET
ejpam-6025	80	22	function	function	NOUN
ejpam-6025	80	23	f	f	NOUN
ejpam-6025	80	24	and	and	CCONJ
ejpam-6025	80	25	a	a	DET
ejpam-6025	80	26	centered	center	VERB
ejpam-6025	80	27	noise	noise	NOUN
ejpam-6025	80	28	.	.	PUNCT
ejpam-6025	81	1	ε(t	ε(t	NOUN
ejpam-6025	81	2	)	)	PUNCT
ejpam-6025	82	1	such	such	ADJ
ejpam-6025	82	2	that	that	PRON
ejpam-6025	82	3	y(t	y(t	NOUN
ejpam-6025	82	4	)	)	PUNCT
ejpam-6025	82	5	=	=	SYM
ejpam-6025	82	6	f(t	f(t	NOUN
ejpam-6025	82	7	)	)	PUNCT
ejpam-6025	83	1	+	+	CCONJ
ejpam-6025	83	2	ε(t	ε(t	NOUN
ejpam-6025	83	3	)	)	PUNCT
ejpam-6025	83	4	,	,	PUNCT
ejpam-6025	83	5	where	where	SCONJ
ejpam-6025	83	6	f	f	PROPN
ejpam-6025	83	7	is	be	AUX
ejpam-6025	83	8	a	a	DET
ejpam-6025	83	9	piecewise	piecewise	NOUN
ejpam-6025	83	10	affine	affine	NOUN
ejpam-6025	83	11	function	function	NOUN
ejpam-6025	83	12	,	,	PUNCT
ejpam-6025	83	13	which	which	PRON
ejpam-6025	83	14	may	may	AUX
ejpam-6025	83	15	not	not	PART
ejpam-6025	83	16	be	be	AUX
ejpam-6025	83	17	continuous	continuous	ADJ
ejpam-6025	83	18	,	,	PUNCT
ejpam-6025	83	19	and	and	CCONJ
ejpam-6025	83	20	that	that	SCONJ
ejpam-6025	83	21	ε	ε	PROPN
ejpam-6025	83	22	is	be	AUX
ejpam-6025	83	23	locally	locally	ADV
ejpam-6025	83	24	stationary	stationary	ADJ
ejpam-6025	83	25	on	on	ADP
ejpam-6025	83	26	each	each	DET
ejpam-6025	83	27	segment	segment	NOUN
ejpam-6025	83	28	of	of	ADP
ejpam-6025	83	29	f	f	PROPN
ejpam-6025	83	30	.	.	PUNCT
ejpam-6025	84	1	we	we	PRON
ejpam-6025	84	2	will	will	AUX
ejpam-6025	84	3	use	use	VERB
ejpam-6025	84	4	linear	linear	ADJ
ejpam-6025	84	5	modeling	modeling	NOUN
ejpam-6025	84	6	throughout	throughout	ADP
ejpam-6025	84	7	this	this	DET
ejpam-6025	84	8	document	document	NOUN
ejpam-6025	84	9	,	,	PUNCT
ejpam-6025	84	10	but	but	CCONJ
ejpam-6025	84	11	the	the	DET
ejpam-6025	84	12	use	use	NOUN
ejpam-6025	84	13	of	of	ADP
ejpam-6025	84	14	a	a	DET
ejpam-6025	84	15	piecewise	piecewise	NOUN
ejpam-6025	84	16	exponential	exponential	ADJ
ejpam-6025	84	17	function	function	NOUN
ejpam-6025	84	18	,	,	PUNCT
ejpam-6025	84	19	which	which	PRON
ejpam-6025	84	20	is	be	AUX
ejpam-6025	84	21	also	also	ADV
ejpam-6025	84	22	common	common	ADJ
ejpam-6025	84	23	in	in	ADP
ejpam-6025	84	24	finance	finance	NOUN
ejpam-6025	84	25	,	,	PUNCT
ejpam-6025	84	26	does	do	AUX
ejpam-6025	84	27	not	not	PART
ejpam-6025	84	28	constitute	constitute	VERB
ejpam-6025	84	29	an	an	DET
ejpam-6025	84	30	additional	additional	ADJ
ejpam-6025	84	31	difficulty	difficulty	NOUN
ejpam-6025	84	32	.	.	PUNCT
ejpam-6025	85	1	notice	notice	VERB
ejpam-6025	85	2	this	this	DET
ejpam-6025	85	3	model	model	NOUN
ejpam-6025	85	4	can	can	AUX
ejpam-6025	85	5	be	be	AUX
ejpam-6025	85	6	considered	consider	VERB
ejpam-6025	85	7	as	as	ADP
ejpam-6025	85	8	a	a	DET
ejpam-6025	85	9	variant	variant	NOUN
ejpam-6025	85	10	of	of	ADP
ejpam-6025	85	11	the	the	DET
ejpam-6025	85	12	ornstein	ornstein	PROPN
ejpam-6025	85	13	-	-	PUNCT
ejpam-6025	85	14	uhlenbeck	uhlenbeck	PROPN
ejpam-6025	85	15	processes	process	NOUN
ejpam-6025	85	16	,	,	PUNCT
ejpam-6025	85	17	defined	define	VERB
ejpam-6025	85	18	that	that	SCONJ
ejpam-6025	85	19	by	by	ADP
ejpam-6025	85	20	dy(t	dy(t	NOUN
ejpam-6025	85	21	)	)	PUNCT
ejpam-6025	86	1	=	=	PRON
ejpam-6025	86	2	−θ(r	−θ(r	NOUN
ejpam-6025	87	1	−	−	NOUN
ejpam-6025	87	2	y(t))dt+	y(t))dt+	ADV
ejpam-6025	87	3	σdb(t	σdb(t	PROPN
ejpam-6025	87	4	)	)	PUNCT
ejpam-6025	87	5	,	,	PUNCT
ejpam-6025	88	1	where	where	SCONJ
ejpam-6025	88	2	b(t	b(t	NOUN
ejpam-6025	88	3	)	)	PUNCT
ejpam-6025	88	4	is	be	AUX
ejpam-6025	88	5	brownian	brownian	ADJ
ejpam-6025	88	6	motion	motion	NOUN
ejpam-6025	88	7	.	.	PUNCT
ejpam-6025	89	1	we	we	PRON
ejpam-6025	89	2	distinguish	distinguish	VERB
ejpam-6025	89	3	ourselves	ourselves	PRON
ejpam-6025	89	4	from	from	ADP
ejpam-6025	89	5	these	these	DET
ejpam-6025	89	6	processes	process	NOUN
ejpam-6025	89	7	by	by	ADP
ejpam-6025	89	8	assuming	assume	VERB
ejpam-6025	89	9	the	the	DET
ejpam-6025	89	10	existence	existence	NOUN
ejpam-6025	89	11	of	of	ADP
ejpam-6025	89	12	trend	trend	NOUN
ejpam-6025	89	13	changes	change	NOUN
ejpam-6025	89	14	in	in	ADP
ejpam-6025	89	15	f(t	f(t	NOUN
ejpam-6025	89	16	)	)	PUNCT
ejpam-6025	89	17	and	and	CCONJ
ejpam-6025	89	18	more	more	ADJ
ejpam-6025	89	19	over	over	ADP
ejpam-6025	89	20	we	we	PRON
ejpam-6025	89	21	do	do	AUX
ejpam-6025	89	22	not	not	PART
ejpam-6025	89	23	define	define	VERB
ejpam-6025	89	24	the	the	DET
ejpam-6025	89	25	noise	noise	NOUN
ejpam-6025	89	26	distribution	distribution	NOUN
ejpam-6025	89	27	a	a	DET
ejpam-6025	89	28	priori	priori	ADV
ejpam-6025	89	29	.	.	PUNCT
ejpam-6025	90	1	as	as	SCONJ
ejpam-6025	90	2	mentioned	mention	VERB
ejpam-6025	90	3	previously	previously	ADV
ejpam-6025	90	4	,	,	PUNCT
ejpam-6025	90	5	the	the	DET
ejpam-6025	90	6	goal	goal	NOUN
ejpam-6025	90	7	of	of	ADP
ejpam-6025	90	8	piecewise	piecewise	NOUN
ejpam-6025	90	9	representation	representation	NOUN
ejpam-6025	90	10	is	be	AUX
ejpam-6025	90	11	to	to	PART
ejpam-6025	90	12	efficiently	efficiently	ADV
ejpam-6025	90	13	identify	identify	VERB
ejpam-6025	90	14	homogeneous	homogeneous	ADJ
ejpam-6025	90	15	periods	period	NOUN
ejpam-6025	90	16	,	,	PUNCT
ejpam-6025	90	17	i.e.	i.e.	X
ejpam-6025	90	18	,	,	PUNCT
ejpam-6025	90	19	breakpoints.this	breakpoints.this	PRON
ejpam-6025	90	20	involves	involve	VERB
ejpam-6025	90	21	determining	determine	VERB
ejpam-6025	90	22	,	,	PUNCT
ejpam-6025	90	23	at	at	ADP
ejpam-6025	90	24	each	each	DET
ejpam-6025	90	25	point	point	NOUN
ejpam-6025	90	26	,	,	PUNCT
ejpam-6025	90	27	ch	ch	NOUN
ejpam-6025	90	28	.	.	PUNCT
ejpam-6025	91	1	ahmed	ahmed	PROPN
ejpam-6025	91	2	baba	baba	PROPN
ejpam-6025	91	3	,	,	PUNCT
ejpam-6025	91	4	a.	a.	PROPN
ejpam-6025	91	5	ka	ka	PROPN
ejpam-6025	91	6	dionque	dionque	PROPN
ejpam-6025	91	7	/	/	SYM
ejpam-6025	91	8	eur	eur	PROPN
ejpam-6025	91	9	.	.	PUNCT
ejpam-6025	92	1	j.	j.	PROPN
ejpam-6025	92	2	pure	pure	PROPN
ejpam-6025	92	3	appl	appl	PROPN
ejpam-6025	92	4	.	.	PROPN
ejpam-6025	92	5	math	math	PROPN
ejpam-6025	92	6	,	,	PUNCT
ejpam-6025	92	7	18	18	NUM
ejpam-6025	92	8	(	(	PUNCT
ejpam-6025	92	9	3	3	NUM
ejpam-6025	92	10	)	)	PUNCT
ejpam-6025	92	11	(	(	PUNCT
ejpam-6025	92	12	2025	2025	NUM
ejpam-6025	92	13	)	)	PUNCT
ejpam-6025	92	14	,	,	PUNCT
ejpam-6025	92	15	6025	6025	NUM
ejpam-6025	92	16	5	5	NUM
ejpam-6025	92	17	of	of	ADP
ejpam-6025	92	18	19	19	NUM
ejpam-6025	92	19	whether	whether	SCONJ
ejpam-6025	92	20	it	it	PRON
ejpam-6025	92	21	represents	represent	VERB
ejpam-6025	92	22	a	a	DET
ejpam-6025	92	23	change	change	NOUN
ejpam-6025	92	24	in	in	ADP
ejpam-6025	92	25	trend	trend	NOUN
ejpam-6025	92	26	or	or	CCONJ
ejpam-6025	92	27	simply	simply	ADV
ejpam-6025	92	28	a	a	DET
ejpam-6025	92	29	fluctuation	fluctuation	NOUN
ejpam-6025	92	30	due	due	ADP
ejpam-6025	92	31	to	to	ADP
ejpam-6025	92	32	volatility	volatility	NOUN
ejpam-6025	92	33	.	.	PUNCT
ejpam-6025	93	1	our	our	PRON
ejpam-6025	93	2	method	method	NOUN
ejpam-6025	93	3	will	will	AUX
ejpam-6025	93	4	therefore	therefore	ADV
ejpam-6025	93	5	have	have	VERB
ejpam-6025	93	6	to	to	PART
ejpam-6025	93	7	divide	divide	VERB
ejpam-6025	93	8	the	the	DET
ejpam-6025	93	9	series	series	NOUN
ejpam-6025	93	10	into	into	ADP
ejpam-6025	93	11	a	a	DET
ejpam-6025	93	12	number	number	NOUN
ejpam-6025	93	13	k	k	NOUN
ejpam-6025	93	14	,	,	PUNCT
ejpam-6025	93	15	unknown	unknown	ADJ
ejpam-6025	93	16	in	in	ADP
ejpam-6025	93	17	advance	advance	NOUN
ejpam-6025	93	18	,	,	PUNCT
ejpam-6025	93	19	of	of	ADP
ejpam-6025	93	20	segments	segment	NOUN
ejpam-6025	93	21	,	,	PUNCT
ejpam-6025	93	22	ik	ik	X
ejpam-6025	93	23	=	=	PUNCT
ejpam-6025	94	1	[	[	X
ejpam-6025	94	2	tk−1	tk−1	PROPN
ejpam-6025	94	3	,	,	PUNCT
ejpam-6025	94	4	tk	tk	PROPN
ejpam-6025	94	5	]	]	PUNCT
ejpam-6025	94	6	.	.	PUNCT
ejpam-6025	95	1	furthermore	furthermore	ADV
ejpam-6025	95	2	,	,	PUNCT
ejpam-6025	95	3	we	we	PRON
ejpam-6025	95	4	want	want	VERB
ejpam-6025	95	5	to	to	PART
ejpam-6025	95	6	control	control	VERB
ejpam-6025	95	7	the	the	DET
ejpam-6025	95	8	complexity	complexity	NOUN
ejpam-6025	95	9	of	of	ADP
ejpam-6025	95	10	the	the	DET
ejpam-6025	95	11	segmentation	segmentation	NOUN
ejpam-6025	95	12	,	,	PUNCT
ejpam-6025	95	13	since	since	SCONJ
ejpam-6025	95	14	a	a	DET
ejpam-6025	95	15	very	very	ADV
ejpam-6025	95	16	fine	fine	ADJ
ejpam-6025	95	17	division	division	NOUN
ejpam-6025	95	18	would	would	AUX
ejpam-6025	95	19	offer	offer	VERB
ejpam-6025	95	20	a	a	DET
ejpam-6025	95	21	good	good	ADJ
ejpam-6025	95	22	approximation	approximation	NOUN
ejpam-6025	95	23	of	of	ADP
ejpam-6025	95	24	the	the	DET
ejpam-6025	95	25	data	datum	NOUN
ejpam-6025	95	26	but	but	CCONJ
ejpam-6025	95	27	would	would	AUX
ejpam-6025	95	28	not	not	PART
ejpam-6025	95	29	provide	provide	VERB
ejpam-6025	95	30	relevant	relevant	ADJ
ejpam-6025	95	31	information	information	NOUN
ejpam-6025	95	32	on	on	ADP
ejpam-6025	95	33	trend	trend	NOUN
ejpam-6025	95	34	and	and	CCONJ
ejpam-6025	95	35	noise	noise	NOUN
ejpam-6025	95	36	.	.	PUNCT
ejpam-6025	96	1	it	it	PRON
ejpam-6025	96	2	is	be	AUX
ejpam-6025	96	3	therefore	therefore	ADV
ejpam-6025	96	4	necessary	necessary	ADJ
ejpam-6025	96	5	to	to	PART
ejpam-6025	96	6	penalize	penalize	VERB
ejpam-6025	96	7	the	the	DET
ejpam-6025	96	8	criterion	criterion	NOUN
ejpam-6025	96	9	,	,	PUNCT
ejpam-6025	96	10	in	in	ADP
ejpam-6025	96	11	adequation	adequation	NOUN
ejpam-6025	96	12	with	with	ADP
ejpam-6025	96	13	the	the	DET
ejpam-6025	96	14	representation	representation	NOUN
ejpam-6025	96	15	to	to	ADP
ejpam-6025	96	16	the	the	DET
ejpam-6025	96	17	data	datum	NOUN
ejpam-6025	96	18	,	,	PUNCT
ejpam-6025	96	19	by	by	ADP
ejpam-6025	96	20	adding	add	VERB
ejpam-6025	96	21	a	a	DET
ejpam-6025	96	22	complex	complex	ADJ
ejpam-6025	96	23	criterion	criterion	NOUN
ejpam-6025	96	24	,	,	PUNCT
ejpam-6025	96	25	such	such	ADJ
ejpam-6025	96	26	as	as	ADP
ejpam-6025	96	27	the	the	DET
ejpam-6025	96	28	number	number	NOUN
ejpam-6025	96	29	or	or	CCONJ
ejpam-6025	96	30	size	size	NOUN
ejpam-6025	96	31	of	of	ADP
ejpam-6025	96	32	the	the	DET
ejpam-6025	96	33	segments	segment	NOUN
ejpam-6025	96	34	.	.	PUNCT
ejpam-6025	97	1	2.4	2.4	NUM
ejpam-6025	97	2	.	.	PUNCT
ejpam-6025	97	3	formulation	formulation	NOUN
ejpam-6025	97	4	of	of	ADP
ejpam-6025	97	5	an	an	DET
ejpam-6025	97	6	adequation	adequation	NOUN
ejpam-6025	97	7	with	with	ADP
ejpam-6025	97	8	the	the	DET
ejpam-6025	97	9	representation	representation	NOUN
ejpam-6025	97	10	of	of	ADP
ejpam-6025	97	11	the	the	DET
ejpam-6025	97	12	data	datum	NOUN
ejpam-6025	97	13	suppose	suppose	VERB
ejpam-6025	97	14	we	we	PRON
ejpam-6025	97	15	have	have	VERB
ejpam-6025	97	16	n	n	NUM
ejpam-6025	97	17	data	data	NOUN
ejpam-6025	97	18	points	point	NOUN
ejpam-6025	97	19	{	{	PUNCT
ejpam-6025	97	20	y0	y0	NOUN
ejpam-6025	97	21	,	,	PUNCT
ejpam-6025	97	22	y1	y1	NOUN
ejpam-6025	97	23	,	,	PUNCT
ejpam-6025	97	24	...	...	PUNCT
ejpam-6025	97	25	yn	yn	NOUN
ejpam-6025	97	26	}	}	PUNCT
ejpam-6025	97	27	0	0	NUM
ejpam-6025	98	1	=	=	SYM
ejpam-6025	98	2	t0	t0	PROPN
ejpam-6025	98	3	<	<	X
ejpam-6025	98	4	t1	t1	NOUN
ejpam-6025	98	5	<	<	X
ejpam-6025	98	6	t2	t2	PROPN
ejpam-6025	98	7	,	,	PUNCT
ejpam-6025	98	8	...	...	PUNCT
ejpam-6025	98	9	<	<	X
ejpam-6025	98	10	tk	tk	PROPN
ejpam-6025	98	11	=	=	NOUN
ejpam-6025	98	12	1	1	NUM
ejpam-6025	98	13	determining	determine	VERB
ejpam-6025	98	14	the	the	DET
ejpam-6025	98	15	segments	segment	NOUN
ejpam-6025	98	16	ik	ik	PROPN
ejpam-6025	98	17	the	the	DET
ejpam-6025	98	18	time	time	NOUN
ejpam-6025	98	19	can	can	AUX
ejpam-6025	98	20	thus	thus	ADV
ejpam-6025	98	21	be	be	AUX
ejpam-6025	98	22	indexed	index	VERB
ejpam-6025	98	23	by	by	ADP
ejpam-6025	98	24	jk	jk	PROPN
ejpam-6025	98	25	(	(	PUNCT
ejpam-6025	98	26	j	j	PROPN
ejpam-6025	98	27	=	=	SYM
ejpam-6025	98	28	0	0	PROPN
ejpam-6025	98	29	,	,	PUNCT
ejpam-6025	98	30	...	...	PUNCT
ejpam-6025	98	31	,	,	PUNCT
ejpam-6025	98	32	k	k	NOUN
ejpam-6025	98	33	)	)	PUNCT
ejpam-6025	98	34	,	,	PUNCT
ejpam-6025	98	35	and	and	CCONJ
ejpam-6025	98	36	we	we	PRON
ejpam-6025	98	37	note	note	VERB
ejpam-6025	98	38	εj	εj	NOUN
ejpam-6025	98	39	=	=	PUNCT
ejpam-6025	98	40	ε(j	ε(j	PROPN
ejpam-6025	98	41	/	/	SYM
ejpam-6025	98	42	n	n	CCONJ
ejpam-6025	98	43	)	)	PUNCT
ejpam-6025	98	44	we	we	PRON
ejpam-6025	98	45	observe	observe	VERB
ejpam-6025	98	46	a	a	DET
ejpam-6025	98	47	noisy	noisy	ADJ
ejpam-6025	98	48	signal	signal	NOUN
ejpam-6025	98	49	,	,	PUNCT
ejpam-6025	98	50	composed	compose	VERB
ejpam-6025	98	51	of	of	ADP
ejpam-6025	98	52	linear	linear	ADJ
ejpam-6025	98	53	segments	segment	NOUN
ejpam-6025	98	54	:	:	PUNCT
ejpam-6025	98	55	∀(j	∀(j	PUNCT
ejpam-6025	99	1	=	=	SYM
ejpam-6025	99	2	0	0	NUM
ejpam-6025	99	3	,	,	PUNCT
ejpam-6025	99	4	...	...	PUNCT
ejpam-6025	99	5	,	,	PUNCT
ejpam-6025	99	6	k	k	PROPN
ejpam-6025	99	7	)	)	PUNCT
ejpam-6025	99	8	,	,	PUNCT
ejpam-6025	99	9	yj	yj	PROPN
ejpam-6025	99	10	=	=	PUNCT
ejpam-6025	99	11	f(j	f(j	NOUN
ejpam-6025	99	12	/	/	SYM
ejpam-6025	99	13	n	n	CCONJ
ejpam-6025	99	14	)	)	PUNCT
ejpam-6025	100	1	+	+	CCONJ
ejpam-6025	100	2	εj	εj	NOUN
ejpam-6025	100	3	.	.	PUNCT
ejpam-6025	101	1	the	the	DET
ejpam-6025	101	2	target	target	NOUN
ejpam-6025	101	3	function	function	NOUN
ejpam-6025	101	4	f⋆	f⋆	NOUN
ejpam-6025	101	5	is	be	AUX
ejpam-6025	101	6	entirely	entirely	ADV
ejpam-6025	101	7	determined	determine	VERB
ejpam-6025	101	8	by	by	ADP
ejpam-6025	101	9	its	its	PRON
ejpam-6025	101	10	values	value	NOUN
ejpam-6025	101	11	at	at	ADP
ejpam-6025	101	12	the	the	DET
ejpam-6025	101	13	breakpoints	breakpoint	NOUN
ejpam-6025	101	14	:	:	PUNCT
ejpam-6025	101	15	for	for	ADP
ejpam-6025	101	16	each	each	DET
ejpam-6025	101	17	j	j	PROPN
ejpam-6025	101	18	∈	∈	PROPN
ejpam-6025	101	19	1	1	NUM
ejpam-6025	101	20	,	,	PUNCT
ejpam-6025	101	21	...	...	PUNCT
ejpam-6025	101	22	,	,	PUNCT
ejpam-6025	101	23	k	k	NOUN
ejpam-6025	101	24	,	,	PUNCT
ejpam-6025	101	25	∀t	∀t	PROPN
ejpam-6025	101	26	∈	∈	PROPN
ejpam-6025	101	27	[	[	X
ejpam-6025	101	28	tj−1	tj−1	NOUN
ejpam-6025	101	29	,	,	PUNCT
ejpam-6025	101	30	tj	tj	X
ejpam-6025	101	31	]	]	PUNCT
ejpam-6025	101	32	,	,	PUNCT
ejpam-6025	101	33	f	f	PROPN
ejpam-6025	101	34	⋆(t	⋆(t	PROPN
ejpam-6025	101	35	)	)	PUNCT
ejpam-6025	101	36	=	=	SYM
ejpam-6025	101	37	f⋆(tj−1	f⋆(tj−1	NOUN
ejpam-6025	101	38	)	)	PUNCT
ejpam-6025	101	39	+	+	CCONJ
ejpam-6025	101	40	f⋆(tj)−	f⋆(tj)−	NOUN
ejpam-6025	101	41	f⋆(tj−1	f⋆(tj−1	NOUN
ejpam-6025	101	42	)	)	PUNCT
ejpam-6025	102	1	tj	tj	NOUN
ejpam-6025	102	2	−	−	PROPN
ejpam-6025	102	3	tj−1	tj−1	NOUN
ejpam-6025	102	4	with	with	ADP
ejpam-6025	102	5	f(ti	f(ti	NOUN
ejpam-6025	102	6	)	)	PUNCT
ejpam-6025	102	7	=	=	SYM
ejpam-6025	103	1	limt→tit	limt→tit	NOUN
ejpam-6025	103	2	<	<	X
ejpam-6025	103	3	ti	ti	X
ejpam-6025	103	4	f(t	f(t	PROPN
ejpam-6025	103	5	)	)	PUNCT
ejpam-6025	103	6	.we	.we	PUNCT
ejpam-6025	104	1	denote	denote	VERB
ejpam-6025	104	2	by	by	ADP
ejpam-6025	104	3	f	f	PROPN
ejpam-6025	104	4	the	the	DET
ejpam-6025	104	5	set	set	NOUN
ejpam-6025	104	6	of	of	ADP
ejpam-6025	104	7	piecewise	piecewise	NOUN
ejpam-6025	104	8	linear	linear	NOUN
ejpam-6025	104	9	functions	function	NOUN
ejpam-6025	104	10	in	in	ADP
ejpam-6025	104	11	which	which	PRON
ejpam-6025	104	12	we	we	PRON
ejpam-6025	104	13	will	will	AUX
ejpam-6025	104	14	look	look	VERB
ejpam-6025	104	15	for	for	ADP
ejpam-6025	104	16	the	the	DET
ejpam-6025	104	17	solutions	solution	NOUN
ejpam-6025	104	18	.	.	PUNCT
ejpam-6025	105	1	the	the	DET
ejpam-6025	105	2	quality	quality	NOUN
ejpam-6025	105	3	of	of	ADP
ejpam-6025	105	4	an	an	DET
ejpam-6025	105	5	estimated	estimate	VERB
ejpam-6025	105	6	function	function	NOUN
ejpam-6025	105	7	f⋆	f⋆	NOUN
ejpam-6025	105	8	∈	∈	PROPN
ejpam-6025	105	9	f	f	PROPN
ejpam-6025	105	10	is	be	AUX
ejpam-6025	105	11	assessed	assess	VERB
ejpam-6025	105	12	using	use	VERB
ejpam-6025	105	13	its	its	PRON
ejpam-6025	105	14	mean	mean	ADJ
ejpam-6025	105	15	square	square	NOUN
ejpam-6025	105	16	error	error	NOUN
ejpam-6025	105	17	,	,	PUNCT
ejpam-6025	105	18	or	or	CCONJ
ejpam-6025	105	19	quadratic	quadratic	ADJ
ejpam-6025	105	20	risk	risk	NOUN
ejpam-6025	105	21	:	:	PUNCT
ejpam-6025	105	22	r(f⋆	r(f⋆	NOUN
ejpam-6025	105	23	)	)	PUNCT
ejpam-6025	105	24	=	=	SYM
ejpam-6025	106	1	ey	ey	PROPN
ejpam-6025	107	1	[	[	X
ejpam-6025	107	2	∫	∫	PROPN
ejpam-6025	107	3	1	1	NUM
ejpam-6025	107	4	0	0	NUM
ejpam-6025	107	5	(	(	PUNCT
ejpam-6025	107	6	f⋆(t)−	f⋆(t)−	PROPN
ejpam-6025	107	7	f(t	f(t	PROPN
ejpam-6025	107	8	)	)	PUNCT
ejpam-6025	107	9	)	)	PUNCT
ejpam-6025	107	10	2	2	X
ejpam-6025	107	11	]	]	PUNCT
ejpam-6025	107	12	dt	dt	X
ejpam-6025	107	13	.	.	PUNCT
ejpam-6025	108	1	this	this	DET
ejpam-6025	108	2	risk	risk	NOUN
ejpam-6025	108	3	is	be	AUX
ejpam-6025	108	4	estimated	estimate	VERB
ejpam-6025	108	5	statistically	statistically	ADV
ejpam-6025	108	6	from	from	ADP
ejpam-6025	108	7	the	the	DET
ejpam-6025	108	8	data	datum	NOUN
ejpam-6025	108	9	by	by	ADP
ejpam-6025	108	10	calculating	calculate	VERB
ejpam-6025	108	11	the	the	DET
ejpam-6025	108	12	average	average	NOUN
ejpam-6025	108	13	of	of	ADP
ejpam-6025	108	14	the	the	DET
ejpam-6025	108	15	square	square	NOUN
ejpam-6025	108	16	of	of	ADP
ejpam-6025	108	17	the	the	DET
ejpam-6025	108	18	residuals	residual	NOUN
ejpam-6025	108	19	,	,	PUNCT
ejpam-6025	108	20	also	also	ADV
ejpam-6025	108	21	called	call	VERB
ejpam-6025	108	22	empirical	empirical	ADJ
ejpam-6025	108	23	risk	risk	NOUN
ejpam-6025	108	24	:	:	PUNCT
ejpam-6025	108	25	r(f⋆	r(f⋆	NOUN
ejpam-6025	108	26	)	)	PUNCT
ejpam-6025	108	27	=	=	NOUN
ejpam-6025	108	28	σn	σn	NOUN
ejpam-6025	108	29	j=0(yj	j=0(yj	PRON
ejpam-6025	108	30	−	−	PROPN
ejpam-6025	108	31	f⋆(j	f⋆(j	NOUN
ejpam-6025	108	32	/	/	SYM
ejpam-6025	108	33	n))2	n))2	NOUN
ejpam-6025	108	34	.	.	PUNCT
ejpam-6025	108	35	to	to	PART
ejpam-6025	108	36	control	control	VERB
ejpam-6025	108	37	the	the	DET
ejpam-6025	108	38	complexity	complexity	NOUN
ejpam-6025	108	39	of	of	ADP
ejpam-6025	108	40	the	the	DET
ejpam-6025	108	41	solution	solution	NOUN
ejpam-6025	108	42	,	,	PUNCT
ejpam-6025	108	43	we	we	PRON
ejpam-6025	108	44	add	add	VERB
ejpam-6025	108	45	a	a	DET
ejpam-6025	108	46	penalty	penalty	NOUN
ejpam-6025	108	47	proportional	proportional	NOUN
ejpam-6025	108	48	to	to	ADP
ejpam-6025	108	49	the	the	DET
ejpam-6025	108	50	number	number	NOUN
ejpam-6025	108	51	k	k	PROPN
ejpam-6025	108	52	of	of	ADP
ejpam-6025	108	53	segments	segment	NOUN
ejpam-6025	108	54	in	in	ADP
ejpam-6025	108	55	f⋆.	f⋆.	NOUN
ejpam-6025	108	56	the	the	DET
ejpam-6025	108	57	final	final	ADJ
ejpam-6025	108	58	criterion	criterion	NOUN
ejpam-6025	108	59	is	be	AUX
ejpam-6025	108	60	therefore	therefore	ADV
ejpam-6025	108	61	the	the	DET
ejpam-6025	108	62	empirical	empirical	ADJ
ejpam-6025	108	63	risk	risk	NOUN
ejpam-6025	108	64	adjusted	adjust	VERB
ejpam-6025	108	65	by	by	ADP
ejpam-6025	108	66	a	a	DET
ejpam-6025	108	67	regularization	regularization	NOUN
ejpam-6025	108	68	:	:	PUNCT
ejpam-6025	108	69	rpen(f	rpen(f	AUX
ejpam-6025	108	70	⋆	⋆	VERB
ejpam-6025	108	71	,	,	PUNCT
ejpam-6025	108	72	λ	λ	NOUN
ejpam-6025	108	73	)	)	PUNCT
ejpam-6025	108	74	=	=	NOUN
ejpam-6025	108	75	σn	σn	NOUN
ejpam-6025	109	1	j=0(yj	j=0(yj	NOUN
ejpam-6025	109	2	−	−	PROPN
ejpam-6025	109	3	f⋆(j	f⋆(j	NOUN
ejpam-6025	109	4	/	/	SYM
ejpam-6025	109	5	n))2	n))2	NOUN
ejpam-6025	109	6	+	+	X
ejpam-6025	109	7	λk	λk	INTJ
ejpam-6025	109	8	,	,	PUNCT
ejpam-6025	109	9	where	where	SCONJ
ejpam-6025	109	10	λ	λ	X
ejpam-6025	109	11	>	>	X
ejpam-6025	109	12	0	0	NUM
ejpam-6025	109	13	is	be	AUX
ejpam-6025	109	14	a	a	DET
ejpam-6025	109	15	regularization	regularization	NOUN
ejpam-6025	109	16	parameter	parameter	NOUN
ejpam-6025	109	17	measuring	measure	VERB
ejpam-6025	109	18	the	the	DET
ejpam-6025	109	19	trade	trade	NOUN
ejpam-6025	109	20	-	-	PUNCT
ejpam-6025	109	21	off	off	NOUN
ejpam-6025	109	22	between	between	ADP
ejpam-6025	109	23	approximation	approximation	NOUN
ejpam-6025	109	24	and	and	CCONJ
ejpam-6025	109	25	complexity	complexity	NOUN
ejpam-6025	109	26	.	.	PUNCT
ejpam-6025	110	1	finally	finally	ADV
ejpam-6025	110	2	,	,	PUNCT
ejpam-6025	110	3	the	the	DET
ejpam-6025	110	4	optimal	optimal	ADJ
ejpam-6025	110	5	function	function	NOUN
ejpam-6025	110	6	is	be	AUX
ejpam-6025	110	7	the	the	DET
ejpam-6025	110	8	one	one	NUM
ejpam-6025	110	9	which	which	PRON
ejpam-6025	110	10	minimizes	minimize	VERB
ejpam-6025	110	11	the	the	DET
ejpam-6025	110	12	regularized	regularized	ADJ
ejpam-6025	110	13	empirical	empirical	ADJ
ejpam-6025	110	14	risk	risk	NOUN
ejpam-6025	110	15	:	:	PUNCT
ejpam-6025	110	16	f⋆	f⋆	NOUN
ejpam-6025	110	17	=	=	SYM
ejpam-6025	110	18	argminf∈hrpen(f	argminf∈hrpen(f	NOUN
ejpam-6025	110	19	⋆	⋆	NOUN
ejpam-6025	110	20	,	,	PUNCT
ejpam-6025	110	21	λ	λ	NOUN
ejpam-6025	110	22	)	)	PUNCT
ejpam-6025	110	23	.	.	PUNCT
ejpam-6025	111	1	when	when	SCONJ
ejpam-6025	111	2	the	the	DET
ejpam-6025	111	3	segmentation	segmentation	NOUN
ejpam-6025	111	4	is	be	AUX
ejpam-6025	111	5	known	know	VERB
ejpam-6025	111	6	,	,	PUNCT
ejpam-6025	111	7	the	the	DET
ejpam-6025	111	8	problem	problem	NOUN
ejpam-6025	111	9	reduces	reduce	VERB
ejpam-6025	111	10	to	to	PART
ejpam-6025	111	11	estimating	estimate	VERB
ejpam-6025	111	12	the	the	DET
ejpam-6025	111	13	best	good	ADJ
ejpam-6025	111	14	line	line	NOUN
ejpam-6025	111	15	for	for	ADP
ejpam-6025	111	16	each	each	DET
ejpam-6025	111	17	interval	interval	NOUN
ejpam-6025	111	18	,	,	PUNCT
ejpam-6025	111	19	ii	ii	PROPN
ejpam-6025	111	20	from	from	ADP
ejpam-6025	111	21	the	the	DET
ejpam-6025	111	22	data	datum	NOUN
ejpam-6025	111	23	.	.	PUNCT
ejpam-6025	112	1	thanks	thank	NOUN
ejpam-6025	112	2	to	to	ADP
ejpam-6025	112	3	the	the	DET
ejpam-6025	112	4	additivity	additivity	NOUN
ejpam-6025	112	5	of	of	ADP
ejpam-6025	112	6	risk	risk	NOUN
ejpam-6025	112	7	,	,	PUNCT
ejpam-6025	112	8	it	it	PRON
ejpam-6025	112	9	is	be	AUX
ejpam-6025	112	10	enough	enough	ADJ
ejpam-6025	112	11	to	to	PART
ejpam-6025	112	12	decompose	decompose	VERB
ejpam-6025	112	13	the	the	DET
ejpam-6025	112	14	empirical	empirical	ADJ
ejpam-6025	112	15	risk	risk	NOUN
ejpam-6025	112	16	into	into	ADP
ejpam-6025	112	17	k	k	PROPN
ejpam-6025	112	18	parts	part	NOUN
ejpam-6025	112	19	:	:	PUNCT
ejpam-6025	112	20	f⋆	f⋆	NOUN
ejpam-6025	112	21	=	=	SYM
ejpam-6025	112	22	σk	σk	X
ejpam-6025	112	23	j=1l(ij	j=1l(ij	PROPN
ejpam-6025	112	24	)	)	PUNCT
ejpam-6025	112	25	,	,	PUNCT
ejpam-6025	112	26	with	with	ADP
ejpam-6025	112	27	l(ik	l(ik	PROPN
ejpam-6025	112	28	)	)	PUNCT
ejpam-6025	112	29	=	=	SYM
ejpam-6025	112	30	σn	σn	X
ejpam-6025	112	31	j=1(yj	j=1(yj	PUNCT
ejpam-6025	112	32	−	−	PROPN
ejpam-6025	112	33	f⋆(j	f⋆(j	PROPN
ejpam-6025	112	34	/	/	SYM
ejpam-6025	112	35	n))2	n))2	PROPN
ejpam-6025	112	36	ch	ch	NOUN
ejpam-6025	112	37	.	.	PUNCT
ejpam-6025	113	1	ahmed	ahmed	PROPN
ejpam-6025	113	2	baba	baba	PROPN
ejpam-6025	113	3	,	,	PUNCT
ejpam-6025	113	4	a.	a.	PROPN
ejpam-6025	113	5	ka	ka	PROPN
ejpam-6025	113	6	dionque	dionque	PROPN
ejpam-6025	113	7	/	/	SYM
ejpam-6025	113	8	eur	eur	PROPN
ejpam-6025	113	9	.	.	PUNCT
ejpam-6025	114	1	j.	j.	PROPN
ejpam-6025	114	2	pure	pure	PROPN
ejpam-6025	114	3	appl	appl	PROPN
ejpam-6025	114	4	.	.	PROPN
ejpam-6025	114	5	math	math	PROPN
ejpam-6025	114	6	,	,	PUNCT
ejpam-6025	114	7	18	18	NUM
ejpam-6025	114	8	(	(	PUNCT
ejpam-6025	114	9	3	3	NUM
ejpam-6025	114	10	)	)	PUNCT
ejpam-6025	114	11	(	(	PUNCT
ejpam-6025	114	12	2025	2025	NUM
ejpam-6025	114	13	)	)	PUNCT
ejpam-6025	114	14	,	,	PUNCT
ejpam-6025	114	15	6025	6025	NUM
ejpam-6025	114	16	6	6	NUM
ejpam-6025	114	17	of	of	ADP
ejpam-6025	114	18	19	19	NUM
ejpam-6025	114	19	the	the	DET
ejpam-6025	114	20	minimization	minimization	NOUN
ejpam-6025	114	21	of	of	ADP
ejpam-6025	114	22	each	each	DET
ejpam-6025	114	23	l(ik	l(ik	PROPN
ejpam-6025	114	24	)	)	PUNCT
ejpam-6025	114	25	is	be	AUX
ejpam-6025	114	26	carried	carry	VERB
ejpam-6025	114	27	out	out	ADP
ejpam-6025	114	28	using	use	VERB
ejpam-6025	114	29	a	a	DET
ejpam-6025	114	30	regression	regression	NOUN
ejpam-6025	114	31	line	line	NOUN
ejpam-6025	114	32	estimated	estimate	VERB
ejpam-6025	114	33	by	by	ADP
ejpam-6025	114	34	the	the	DET
ejpam-6025	114	35	least	least	ADJ
ejpam-6025	114	36	squares	square	NOUN
ejpam-6025	114	37	method.the	method.the	DET
ejpam-6025	114	38	function	function	NOUN
ejpam-6025	114	39	f	f	PROPN
ejpam-6025	114	40	is	be	AUX
ejpam-6025	114	41	defined	define	VERB
ejpam-6025	114	42	on	on	ADP
ejpam-6025	114	43	each	each	DET
ejpam-6025	114	44	ik	ik	PROPN
ejpam-6025	114	45	by	by	ADP
ejpam-6025	114	46	∀t	∀t	PROPN
ejpam-6025	114	47	∈	∈	PROPN
ejpam-6025	114	48	ik	ik	PROPN
ejpam-6025	114	49	,	,	PUNCT
ejpam-6025	114	50	f	f	PROPN
ejpam-6025	114	51	⋆(t	⋆(t	PROPN
ejpam-6025	114	52	)	)	PUNCT
ejpam-6025	114	53	=	=	SYM
ejpam-6025	115	1	αk	αk	NOUN
ejpam-6025	115	2	+	+	NOUN
ejpam-6025	115	3	βkt	βkt	NOUN
ejpam-6025	115	4	.	.	PUNCT
ejpam-6025	116	1	let	let	VERB
ejpam-6025	116	2	|ik|	|ik|	PROPN
ejpam-6025	116	3	represent	represent	VERB
ejpam-6025	116	4	the	the	DET
ejpam-6025	116	5	number	number	NOUN
ejpam-6025	116	6	of	of	ADP
ejpam-6025	116	7	data	datum	NOUN
ejpam-6025	116	8	points	point	NOUN
ejpam-6025	116	9	in	in	ADP
ejpam-6025	116	10	the	the	DET
ejpam-6025	116	11	interval	interval	NOUN
ejpam-6025	116	12	ik	ik	PROPN
ejpam-6025	116	13	.	.	PUNCT
ejpam-6025	117	1	we	we	PRON
ejpam-6025	117	2	define	define	VERB
ejpam-6025	117	3	the	the	DET
ejpam-6025	117	4	following	follow	VERB
ejpam-6025	117	5	statistical	statistical	ADJ
ejpam-6025	117	6	quantities	quantity	NOUN
ejpam-6025	117	7	for	for	ADP
ejpam-6025	117	8	the	the	DET
ejpam-6025	117	9	data	datum	NOUN
ejpam-6025	117	10	:	:	PUNCT
ejpam-6025	117	11	t̄k	t̄k	PROPN
ejpam-6025	117	12	=	=	SYM
ejpam-6025	117	13	1	1	NUM
ejpam-6025	117	14	|ik|	|ik|	PROPN
ejpam-6025	117	15	∑	∑	PROPN
ejpam-6025	117	16	j	j	PROPN
ejpam-6025	117	17	:	:	PUNCT
ejpam-6025	117	18	j	j	PROPN
ejpam-6025	117	19	/	/	SYM
ejpam-6025	117	20	n	n	CCONJ
ejpam-6025	117	21	,	,	PUNCT
ejpam-6025	117	22	n∈ik	n∈ik	PROPN
ejpam-6025	117	23	j	j	PROPN
ejpam-6025	117	24	/	/	SYM
ejpam-6025	117	25	n	n	CCONJ
ejpam-6025	117	26	,	,	PUNCT
ejpam-6025	117	27	ȳk	ȳk	PROPN
ejpam-6025	117	28	=	=	NOUN
ejpam-6025	117	29	1	1	NUM
ejpam-6025	117	30	|ik|	|ik|	PROPN
ejpam-6025	117	31	∑	∑	PROPN
ejpam-6025	117	32	j	j	PROPN
ejpam-6025	117	33	:	:	PUNCT
ejpam-6025	117	34	j	j	PROPN
ejpam-6025	117	35	/	/	SYM
ejpam-6025	117	36	n	n	CCONJ
ejpam-6025	117	37	,	,	PUNCT
ejpam-6025	117	38	n∈ik	n∈ik	PROPN
ejpam-6025	117	39	yj	yj	PROPN
ejpam-6025	117	40	,	,	PUNCT
ejpam-6025	117	41	γk	γk	PROPN
ejpam-6025	117	42	=	=	SYM
ejpam-6025	117	43	1	1	NUM
ejpam-6025	117	44	|ik|	|ik|	PROPN
ejpam-6025	117	45	∑	∑	PROPN
ejpam-6025	117	46	j	j	PROPN
ejpam-6025	117	47	:	:	PUNCT
ejpam-6025	117	48	j	j	PROPN
ejpam-6025	117	49	/	/	SYM
ejpam-6025	117	50	n	n	CCONJ
ejpam-6025	117	51	,	,	PUNCT
ejpam-6025	117	52	n∈ik	n∈ik	PROPN
ejpam-6025	117	53	(	(	PUNCT
ejpam-6025	117	54	j	j	PROPN
ejpam-6025	117	55	/	/	SYM
ejpam-6025	117	56	n−	n−	PROPN
ejpam-6025	117	57	t̄k)(yj	t̄k)(yj	ADV
ejpam-6025	117	58	−	−	PROPN
ejpam-6025	117	59	ȳk	ȳk	PROPN
ejpam-6025	117	60	)	)	PUNCT
ejpam-6025	117	61	,	,	PUNCT
ejpam-6025	117	62	s2k	s2k	PROPN
ejpam-6025	117	63	=	=	NOUN
ejpam-6025	117	64	1	1	NUM
ejpam-6025	117	65	|ik|	|ik|	PROPN
ejpam-6025	117	66	∑	∑	PROPN
ejpam-6025	117	67	j	j	PROPN
ejpam-6025	117	68	:	:	PUNCT
ejpam-6025	117	69	j	j	PROPN
ejpam-6025	117	70	/	/	SYM
ejpam-6025	117	71	n	n	CCONJ
ejpam-6025	117	72	,	,	PUNCT
ejpam-6025	117	73	n∈ik	n∈ik	PROPN
ejpam-6025	117	74	(	(	PUNCT
ejpam-6025	117	75	j	j	PROPN
ejpam-6025	117	76	/	/	SYM
ejpam-6025	117	77	n−	n−	PROPN
ejpam-6025	117	78	t̄k	t̄k	PROPN
ejpam-6025	117	79	)	)	PUNCT
ejpam-6025	117	80	2	2	NUM
ejpam-6025	117	81	,	,	PUNCT
ejpam-6025	117	82	u2k	u2k	PROPN
ejpam-6025	117	83	=	=	SYM
ejpam-6025	117	84	1	1	NUM
ejpam-6025	117	85	|ik|	|ik|	PROPN
ejpam-6025	117	86	∑	∑	PROPN
ejpam-6025	117	87	j	j	PROPN
ejpam-6025	117	88	:	:	PUNCT
ejpam-6025	117	89	j	j	PROPN
ejpam-6025	117	90	/	/	SYM
ejpam-6025	117	91	n	n	CCONJ
ejpam-6025	117	92	,	,	PUNCT
ejpam-6025	117	93	n∈ik	n∈ik	PROPN
ejpam-6025	117	94	(	(	PUNCT
ejpam-6025	117	95	yj	yj	PROPN
ejpam-6025	117	96	−	−	PROPN
ejpam-6025	117	97	ȳk	ȳk	PROPN
ejpam-6025	117	98	)	)	PUNCT
ejpam-6025	117	99	2	2	NUM
ejpam-6025	117	100	.	.	PUNCT
ejpam-6025	118	1	the	the	DET
ejpam-6025	118	2	regression	regression	NOUN
ejpam-6025	118	3	coefficients	coefficient	NOUN
ejpam-6025	118	4	are	be	AUX
ejpam-6025	118	5	:	:	PUNCT
ejpam-6025	118	6	αk	αk	ADP
ejpam-6025	118	7	=	=	SYM
ejpam-6025	118	8	ȳk	ȳk	PROPN
ejpam-6025	118	9	−	−	PROPN
ejpam-6025	118	10	βk	βk	ADP
ejpam-6025	118	11	t̄k	t̄k	PROPN
ejpam-6025	118	12	.	.	PUNCT
ejpam-6025	119	1	and	and	CCONJ
ejpam-6025	119	2	βk	βk	ADP
ejpam-6025	119	3	=	=	PUNCT
ejpam-6025	119	4	γk	γk	PROPN
ejpam-6025	119	5	/	/	SYM
ejpam-6025	119	6	s	s	PART
ejpam-6025	119	7	2	2	NUM
ejpam-6025	119	8	k	k	NOUN
ejpam-6025	119	9	,	,	PUNCT
ejpam-6025	119	10	and	and	CCONJ
ejpam-6025	119	11	the	the	DET
ejpam-6025	119	12	error	error	NOUN
ejpam-6025	119	13	resulting	result	VERB
ejpam-6025	119	14	from	from	ADP
ejpam-6025	119	15	the	the	DET
ejpam-6025	119	16	regression	regression	NOUN
ejpam-6025	119	17	is	be	AUX
ejpam-6025	119	18	written	write	VERB
ejpam-6025	119	19	:	:	PUNCT
ejpam-6025	119	20	l⋆(ik	l⋆(ik	PROPN
ejpam-6025	119	21	)	)	PUNCT
ejpam-6025	119	22	=	=	SYM
ejpam-6025	119	23	|ik|(u2k	|ik|(u2k	NOUN
ejpam-6025	120	1	−	−	NOUN
ejpam-6025	120	2	γ2k	γ2k	PROPN
ejpam-6025	120	3	/	/	SYM
ejpam-6025	120	4	s	s	PART
ejpam-6025	120	5	2	2	NUM
ejpam-6025	120	6	k	k	NOUN
ejpam-6025	120	7	)	)	PUNCT
ejpam-6025	120	8	3	3	NUM
ejpam-6025	120	9	.	.	X
ejpam-6025	120	10	segmentation	segmentation	NOUN
ejpam-6025	120	11	by	by	ADP
ejpam-6025	120	12	trees	tree	NOUN
ejpam-6025	120	13	with	with	ADP
ejpam-6025	120	14	this	this	DET
ejpam-6025	120	15	least	least	ADJ
ejpam-6025	120	16	squares	square	NOUN
ejpam-6025	120	17	regression	regression	NOUN
ejpam-6025	120	18	criterion	criterion	NOUN
ejpam-6025	120	19	,	,	PUNCT
ejpam-6025	120	20	we	we	PRON
ejpam-6025	120	21	suggest	suggest	VERB
ejpam-6025	120	22	splitting	split	VERB
ejpam-6025	120	23	the	the	DET
ejpam-6025	120	24	series	series	NOUN
ejpam-6025	120	25	using	use	VERB
ejpam-6025	120	26	cart	cart	NOUN
ejpam-6025	120	27	.	.	PUNCT
ejpam-6025	121	1	the	the	DET
ejpam-6025	121	2	cart	cart	NOUN
ejpam-6025	121	3	(	(	PUNCT
ejpam-6025	121	4	classification	classification	NOUN
ejpam-6025	121	5	and	and	CCONJ
ejpam-6025	121	6	regression	regression	NOUN
ejpam-6025	121	7	trees	tree	NOUN
ejpam-6025	121	8	)	)	PUNCT
ejpam-6025	121	9	algorithm	algorithm	NOUN
ejpam-6025	121	10	,	,	PUNCT
ejpam-6025	121	11	developed	develop	VERB
ejpam-6025	121	12	by	by	ADP
ejpam-6025	121	13	breiman	breiman	NOUN
ejpam-6025	121	14	et	et	PROPN
ejpam-6025	121	15	al	al	PROPN
ejpam-6025	122	1	[	[	X
ejpam-6025	122	2	18	18	NUM
ejpam-6025	122	3	]	]	PUNCT
ejpam-6025	122	4	,	,	PUNCT
ejpam-6025	122	5	is	be	AUX
ejpam-6025	122	6	a	a	DET
ejpam-6025	122	7	well	well	ADV
ejpam-6025	122	8	-	-	PUNCT
ejpam-6025	122	9	known	know	VERB
ejpam-6025	122	10	method	method	NOUN
ejpam-6025	122	11	for	for	ADP
ejpam-6025	122	12	recursive	recursive	ADJ
ejpam-6025	122	13	binary	binary	ADJ
ejpam-6025	122	14	tree	tree	NOUN
ejpam-6025	122	15	partitioning	partitioning	NOUN
ejpam-6025	122	16	.	.	PUNCT
ejpam-6025	123	1	this	this	PRON
ejpam-6025	123	2	is	be	AUX
ejpam-6025	123	3	a	a	DET
ejpam-6025	123	4	top	top	ADJ
ejpam-6025	123	5	-	-	PUNCT
ejpam-6025	123	6	down	down	ADP
ejpam-6025	123	7	partitioning	partitioning	NOUN
ejpam-6025	123	8	,	,	PUNCT
ejpam-6025	123	9	which	which	PRON
ejpam-6025	123	10	starts	start	VERB
ejpam-6025	123	11	with	with	ADP
ejpam-6025	123	12	a	a	DET
ejpam-6025	123	13	single	single	ADJ
ejpam-6025	123	14	segment	segment	NOUN
ejpam-6025	123	15	and	and	CCONJ
ejpam-6025	123	16	results	result	NOUN
ejpam-6025	123	17	in	in	ADP
ejpam-6025	123	18	a	a	DET
ejpam-6025	123	19	more	more	ADV
ejpam-6025	123	20	detailed	detailed	ADJ
ejpam-6025	123	21	partition	partition	NOUN
ejpam-6025	123	22	.	.	PUNCT
ejpam-6025	124	1	this	this	DET
ejpam-6025	124	2	process	process	NOUN
ejpam-6025	124	3	consists	consist	VERB
ejpam-6025	124	4	of	of	ADP
ejpam-6025	124	5	two	two	NUM
ejpam-6025	124	6	steps	step	NOUN
ejpam-6025	124	7	.	.	PUNCT
ejpam-6025	125	1	3.1	3.1	NUM
ejpam-6025	125	2	.	.	PUNCT
ejpam-6025	125	3	tree	tree	NOUN
ejpam-6025	125	4	construction	construction	NOUN
ejpam-6025	125	5	the	the	DET
ejpam-6025	125	6	root	root	NOUN
ejpam-6025	125	7	of	of	ADP
ejpam-6025	125	8	the	the	DET
ejpam-6025	125	9	tree	tree	NOUN
ejpam-6025	125	10	corresponds	correspond	VERB
ejpam-6025	125	11	to	to	ADP
ejpam-6025	125	12	the	the	DET
ejpam-6025	125	13	full	full	ADJ
ejpam-6025	125	14	interval	interval	NOUN
ejpam-6025	125	15	,	,	PUNCT
ejpam-6025	125	16	(	(	PUNCT
ejpam-6025	125	17	i0.1	i0.1	NOUN
ejpam-6025	125	18	)	)	PUNCT
ejpam-6025	125	19	characterized	characterize	VERB
ejpam-6025	125	20	by	by	ADP
ejpam-6025	125	21	the	the	DET
ejpam-6025	125	22	error	error	NOUN
ejpam-6025	125	23	l⋆(i0.1	l⋆(i0.1	PROPN
ejpam-6025	125	24	)	)	PUNCT
ejpam-6025	125	25	coming	come	VERB
ejpam-6025	125	26	from	from	ADP
ejpam-6025	125	27	the	the	DET
ejpam-6025	125	28	least	least	ADJ
ejpam-6025	125	29	squares	square	NOUN
ejpam-6025	125	30	regression	regression	NOUN
ejpam-6025	125	31	on	on	ADP
ejpam-6025	125	32	this	this	PRON
ejpam-6025	125	33	interval.the	interval.the	DET
ejpam-6025	125	34	objective	objective	NOUN
ejpam-6025	125	35	is	be	AUX
ejpam-6025	125	36	to	to	PART
ejpam-6025	125	37	find	find	VERB
ejpam-6025	125	38	the	the	DET
ejpam-6025	125	39	best	good	ADJ
ejpam-6025	125	40	possible	possible	ADJ
ejpam-6025	125	41	division,(i0.1	division,(i0.1	PROPN
ejpam-6025	125	42	)	)	PUNCT
ejpam-6025	125	43	into	into	ADP
ejpam-6025	125	44	two	two	NUM
ejpam-6025	125	45	intervals	interval	NOUN
ejpam-6025	125	46	(	(	PUNCT
ejpam-6025	125	47	i1.1	i1.1	NOUN
ejpam-6025	125	48	)	)	PUNCT
ejpam-6025	125	49	and	and	CCONJ
ejpam-6025	125	50	(	(	PUNCT
ejpam-6025	125	51	i1.2	i1.2	PROPN
ejpam-6025	125	52	)	)	PUNCT
ejpam-6025	125	53	which	which	PRON
ejpam-6025	125	54	constitute	constitute	VERB
ejpam-6025	125	55	the	the	DET
ejpam-6025	125	56	ch	ch	NOUN
ejpam-6025	125	57	.	.	PUNCT
ejpam-6025	126	1	ahmed	ahmed	PROPN
ejpam-6025	126	2	baba	baba	PROPN
ejpam-6025	126	3	,	,	PUNCT
ejpam-6025	126	4	a.	a.	PROPN
ejpam-6025	126	5	ka	ka	PROPN
ejpam-6025	126	6	dionque	dionque	PROPN
ejpam-6025	126	7	/	/	SYM
ejpam-6025	126	8	eur	eur	PROPN
ejpam-6025	126	9	.	.	PUNCT
ejpam-6025	127	1	j.	j.	PROPN
ejpam-6025	127	2	pure	pure	PROPN
ejpam-6025	127	3	appl	appl	PROPN
ejpam-6025	127	4	.	.	PROPN
ejpam-6025	127	5	math	math	PROPN
ejpam-6025	127	6	,	,	PUNCT
ejpam-6025	127	7	18	18	NUM
ejpam-6025	127	8	(	(	PUNCT
ejpam-6025	127	9	3	3	NUM
ejpam-6025	127	10	)	)	PUNCT
ejpam-6025	127	11	(	(	PUNCT
ejpam-6025	127	12	2025	2025	NUM
ejpam-6025	127	13	)	)	PUNCT
ejpam-6025	127	14	,	,	PUNCT
ejpam-6025	127	15	6025	6025	NUM
ejpam-6025	127	16	7	7	NUM
ejpam-6025	127	17	of	of	ADP
ejpam-6025	127	18	19	19	NUM
ejpam-6025	127	19	child	child	NOUN
ejpam-6025	127	20	nodes	node	NOUN
ejpam-6025	127	21	.	.	PUNCT
ejpam-6025	128	1	the	the	DET
ejpam-6025	128	2	division	division	NOUN
ejpam-6025	128	3	criterion	criterion	NOUN
ejpam-6025	128	4	is	be	AUX
ejpam-6025	128	5	the	the	DET
ejpam-6025	128	6	error	error	NOUN
ejpam-6025	128	7	improvement	improvement	NOUN
ejpam-6025	128	8	between	between	ADP
ejpam-6025	128	9	the	the	DET
ejpam-6025	128	10	root	root	NOUN
ejpam-6025	128	11	and	and	CCONJ
ejpam-6025	128	12	child	child	NOUN
ejpam-6025	128	13	nodes	node	NOUN
ejpam-6025	128	14	,	,	PUNCT
ejpam-6025	128	15	that	that	PRON
ejpam-6025	128	16	is	be	AUX
ejpam-6025	128	17	:	:	PUNCT
ejpam-6025	128	18	△	△	X
ejpam-6025	128	19	{	{	PUNCT
ejpam-6025	128	20	l}(i0.1	l}(i0.1	NOUN
ejpam-6025	128	21	,	,	PUNCT
ejpam-6025	128	22	i1.1	i1.1	NOUN
ejpam-6025	128	23	,	,	PUNCT
ejpam-6025	128	24	i1.2	i1.2	PROPN
ejpam-6025	128	25	)	)	PUNCT
ejpam-6025	128	26	=	=	SYM
ejpam-6025	128	27	l⋆(i0.1)−	l⋆(i0.1)−	PROPN
ejpam-6025	128	28	l⋆(i1.1)−	l⋆(i1.1)−	PROPN
ejpam-6025	128	29	l⋆(i1.2	l⋆(i1.2	PROPN
ejpam-6025	128	30	)	)	PUNCT
ejpam-6025	128	31	.	.	PUNCT
ejpam-6025	129	1	we	we	PRON
ejpam-6025	129	2	select	select	VERB
ejpam-6025	129	3	the	the	DET
ejpam-6025	129	4	breaking	breaking	NOUN
ejpam-6025	129	5	point	point	NOUN
ejpam-6025	129	6	which	which	PRON
ejpam-6025	129	7	maximizes	maximize	VERB
ejpam-6025	129	8	this	this	DET
ejpam-6025	129	9	improvement	improvement	NOUN
ejpam-6025	129	10	.	.	PUNCT
ejpam-6025	130	1	at	at	ADP
ejpam-6025	130	2	each	each	DET
ejpam-6025	130	3	iteration	iteration	NOUN
ejpam-6025	130	4	of	of	ADP
ejpam-6025	130	5	the	the	DET
ejpam-6025	130	6	algorithm	algorithm	NOUN
ejpam-6025	130	7	,	,	PUNCT
ejpam-6025	130	8	it	it	PRON
ejpam-6025	130	9	is	be	AUX
ejpam-6025	130	10	therefore	therefore	ADV
ejpam-6025	130	11	a	a	DET
ejpam-6025	130	12	question	question	NOUN
ejpam-6025	130	13	of	of	ADP
ejpam-6025	130	14	exhaustively	exhaustively	ADV
ejpam-6025	130	15	calculating	calculate	VERB
ejpam-6025	130	16	this	this	DET
ejpam-6025	130	17	criterion	criterion	NOUN
ejpam-6025	130	18	△	△	X
ejpam-6025	130	19	{	{	PUNCT
ejpam-6025	130	20	l	l	NOUN
ejpam-6025	130	21	}	}	PUNCT
ejpam-6025	130	22	for	for	ADP
ejpam-6025	130	23	each	each	DET
ejpam-6025	130	24	terminal	terminal	ADJ
ejpam-6025	130	25	node	node	NOUN
ejpam-6025	130	26	(	(	PUNCT
ejpam-6025	130	27	undivided	undivided	ADJ
ejpam-6025	130	28	interval	interval	NOUN
ejpam-6025	130	29	)	)	PUNCT
ejpam-6025	130	30	and	and	CCONJ
ejpam-6025	130	31	each	each	DET
ejpam-6025	130	32	possible	possible	ADJ
ejpam-6025	130	33	division	division	NOUN
ejpam-6025	130	34	,	,	PUNCT
ejpam-6025	130	35	then	then	ADV
ejpam-6025	130	36	choosing	choose	VERB
ejpam-6025	130	37	the	the	DET
ejpam-6025	130	38	division	division	NOUN
ejpam-6025	130	39	offering	offer	VERB
ejpam-6025	130	40	the	the	DET
ejpam-6025	130	41	△	△	X
ejpam-6025	130	42	{	{	PUNCT
ejpam-6025	130	43	l	l	NOUN
ejpam-6025	130	44	}	}	PUNCT
ejpam-6025	130	45	maximum	maximum	NOUN
ejpam-6025	130	46	”	"	PUNCT
ejpam-6025	130	47	that	that	PRON
ejpam-6025	130	48	is	be	AUX
ejpam-6025	130	49	,	,	PUNCT
ejpam-6025	130	50	the	the	DET
ejpam-6025	130	51	points	point	NOUN
ejpam-6025	130	52	at	at	ADP
ejpam-6025	130	53	which	which	PRON
ejpam-6025	130	54	there	there	PRON
ejpam-6025	130	55	is	be	VERB
ejpam-6025	130	56	a	a	DET
ejpam-6025	130	57	change	change	NOUN
ejpam-6025	130	58	in	in	ADP
ejpam-6025	130	59	trend	trend	NOUN
ejpam-6025	130	60	”	"	PUNCT
ejpam-6025	130	61	.	.	PUNCT
ejpam-6025	131	1	we	we	PRON
ejpam-6025	131	2	will	will	AUX
ejpam-6025	131	3	note	note	VERB
ejpam-6025	131	4	ij+1,2k−1	ij+1,2k−1	VERB
ejpam-6025	131	5	and	and	CCONJ
ejpam-6025	131	6	ij+1,2k	ij+1,2k	VERB
ejpam-6025	131	7	the	the	DET
ejpam-6025	131	8	child	child	NOUN
ejpam-6025	131	9	nodes	node	NOUN
ejpam-6025	131	10	of	of	ADP
ejpam-6025	131	11	ij	ij	NOUN
ejpam-6025	131	12	,	,	PUNCT
ejpam-6025	131	13	k	k	PROPN
ejpam-6025	131	14	we	we	PRON
ejpam-6025	131	15	thus	thus	ADV
ejpam-6025	131	16	obtain	obtain	VERB
ejpam-6025	131	17	a	a	DET
ejpam-6025	131	18	series	series	NOUN
ejpam-6025	131	19	of	of	ADP
ejpam-6025	131	20	p	p	PROPN
ejpam-6025	131	21	divisions	division	NOUN
ejpam-6025	131	22	,	,	PUNCT
ejpam-6025	131	23	classified	classify	VERB
ejpam-6025	131	24	in	in	ADP
ejpam-6025	131	25	descending	descend	VERB
ejpam-6025	131	26	order	order	NOUN
ejpam-6025	131	27	of	of	ADP
ejpam-6025	131	28	improvement	improvement	NOUN
ejpam-6025	131	29	,	,	PUNCT
ejpam-6025	131	30	with	with	ADP
ejpam-6025	131	31	their	their	PRON
ejpam-6025	131	32	corresponding	correspond	VERB
ejpam-6025	131	33	division	division	NOUN
ejpam-6025	131	34	points	point	NOUN
ejpam-6025	131	35	{	{	PUNCT
ejpam-6025	131	36	x1	x1	PROPN
ejpam-6025	131	37	....	....	PROPN
ejpam-6025	131	38	xp}associated	xp}associated	PROPN
ejpam-6025	131	39	,	,	PUNCT
ejpam-6025	131	40	which	which	PRON
ejpam-6025	131	41	are	be	AUX
ejpam-6025	131	42	generally	generally	ADV
ejpam-6025	131	43	not	not	PART
ejpam-6025	131	44	in	in	ADP
ejpam-6025	131	45	chronological	chronological	ADJ
ejpam-6025	131	46	order	order	NOUN
ejpam-6025	131	47	.	.	PUNCT
ejpam-6025	132	1	at	at	ADP
ejpam-6025	132	2	this	this	DET
ejpam-6025	132	3	step	step	NOUN
ejpam-6025	132	4	,	,	PUNCT
ejpam-6025	132	5	the	the	DET
ejpam-6025	132	6	complexity	complexity	NOUN
ejpam-6025	132	7	parameter	parameter	NOUN
ejpam-6025	132	8	λ	λ	PROPN
ejpam-6025	132	9	is	be	AUX
ejpam-6025	132	10	not	not	PART
ejpam-6025	132	11	taken	take	VERB
ejpam-6025	132	12	into	into	ADP
ejpam-6025	132	13	account	account	NOUN
ejpam-6025	132	14	,	,	PUNCT
ejpam-6025	132	15	because	because	SCONJ
ejpam-6025	132	16	the	the	DET
ejpam-6025	132	17	objective	objective	NOUN
ejpam-6025	132	18	is	be	AUX
ejpam-6025	132	19	to	to	PART
ejpam-6025	132	20	build	build	VERB
ejpam-6025	132	21	the	the	DET
ejpam-6025	132	22	entire	entire	ADJ
ejpam-6025	132	23	tree	tree	NOUN
ejpam-6025	132	24	until	until	ADP
ejpam-6025	132	25	obtaining	obtain	VERB
ejpam-6025	132	26	the	the	DET
ejpam-6025	132	27	finest	fine	ADJ
ejpam-6025	132	28	partition	partition	NOUN
ejpam-6025	132	29	.	.	PUNCT
ejpam-6025	133	1	in	in	ADP
ejpam-6025	133	2	practice	practice	NOUN
ejpam-6025	133	3	,	,	PUNCT
ejpam-6025	133	4	an	an	DET
ejpam-6025	133	5	additional	additional	ADJ
ejpam-6025	133	6	stopping	stopping	NOUN
ejpam-6025	133	7	criterion	criterion	NOUN
ejpam-6025	133	8	is	be	AUX
ejpam-6025	133	9	defined	define	VERB
ejpam-6025	133	10	,	,	PUNCT
ejpam-6025	133	11	such	such	ADJ
ejpam-6025	133	12	as	as	ADP
ejpam-6025	133	13	the	the	DET
ejpam-6025	133	14	minimum	minimum	ADJ
ejpam-6025	133	15	size	size	NOUN
ejpam-6025	133	16	m	m	PROPN
ejpam-6025	133	17	of	of	ADP
ejpam-6025	133	18	the	the	DET
ejpam-6025	133	19	intervals	interval	NOUN
ejpam-6025	133	20	.	.	PUNCT
ejpam-6025	134	1	thus	thus	ADV
ejpam-6025	134	2	,	,	PUNCT
ejpam-6025	134	3	in	in	ADP
ejpam-6025	134	4	each	each	DET
ejpam-6025	134	5	iteration	iteration	NOUN
ejpam-6025	134	6	,	,	PUNCT
ejpam-6025	134	7	only	only	ADV
ejpam-6025	134	8	splits	split	VERB
ejpam-6025	134	9	where	where	SCONJ
ejpam-6025	134	10	child	child	NOUN
ejpam-6025	134	11	nodes	node	NOUN
ejpam-6025	134	12	containing	contain	VERB
ejpam-6025	134	13	at	at	ADV
ejpam-6025	134	14	least	least	ADJ
ejpam-6025	134	15	m	m	NOUN
ejpam-6025	134	16	elements	element	NOUN
ejpam-6025	134	17	are	be	AUX
ejpam-6025	134	18	considered	consider	VERB
ejpam-6025	134	19	.	.	PUNCT
ejpam-6025	135	1	this	this	DET
ejpam-6025	135	2	stopping	stop	VERB
ejpam-6025	135	3	condition	condition	NOUN
ejpam-6025	135	4	helps	help	VERB
ejpam-6025	135	5	reduce	reduce	VERB
ejpam-6025	135	6	execution	execution	NOUN
ejpam-6025	135	7	time	time	NOUN
ejpam-6025	135	8	by	by	ADP
ejpam-6025	135	9	immediately	immediately	ADV
ejpam-6025	135	10	eliminating	eliminate	VERB
ejpam-6025	135	11	unwanted	unwanted	ADJ
ejpam-6025	135	12	divisions	division	NOUN
ejpam-6025	135	13	.	.	PUNCT
ejpam-6025	136	1	figure	figure	VERB
ejpam-6025	136	2	1	1	NUM
ejpam-6025	136	3	:	:	PUNCT
ejpam-6025	136	4	construction	construction	NOUN
ejpam-6025	136	5	of	of	ADP
ejpam-6025	136	6	the	the	DET
ejpam-6025	136	7	decision	decision	NOUN
ejpam-6025	136	8	tree	tree	NOUN
ejpam-6025	136	9	using	use	VERB
ejpam-6025	136	10	the	the	DET
ejpam-6025	136	11	cart	cart	NOUN
ejpam-6025	136	12	method	method	NOUN
ejpam-6025	136	13	with	with	ADP
ejpam-6025	136	14	four	four	NUM
ejpam-6025	136	15	partitioning	partitioning	NOUN
ejpam-6025	136	16	thresholds	threshold	NOUN
ejpam-6025	136	17	x1	x1	PROPN
ejpam-6025	136	18	,	,	PUNCT
ejpam-6025	136	19	x2	x2	PROPN
ejpam-6025	136	20	,	,	PUNCT
ejpam-6025	136	21	x3	x3	PROPN
ejpam-6025	136	22	,	,	PUNCT
ejpam-6025	136	23	x4	x4	PROPN
ejpam-6025	136	24	.	.	PROPN
ejpam-6025	136	25	3.2	3.2	NUM
ejpam-6025	136	26	.	.	PUNCT
ejpam-6025	137	1	pruning	prune	VERB
ejpam-6025	137	2	branches	branch	NOUN
ejpam-6025	137	3	from	from	ADP
ejpam-6025	137	4	the	the	DET
ejpam-6025	137	5	fully	fully	ADV
ejpam-6025	137	6	constructed	construct	VERB
ejpam-6025	137	7	tree	tree	NOUN
ejpam-6025	137	8	t	t	NOUN
ejpam-6025	137	9	,	,	PUNCT
ejpam-6025	137	10	this	this	DET
ejpam-6025	137	11	step	step	NOUN
ejpam-6025	137	12	aims	aim	VERB
ejpam-6025	137	13	to	to	PART
ejpam-6025	137	14	find	find	VERB
ejpam-6025	137	15	the	the	DET
ejpam-6025	137	16	optimal	optimal	ADJ
ejpam-6025	137	17	subtree	subtree	NOUN
ejpam-6025	137	18	t	t	NOUN
ejpam-6025	137	19	⋆	⋆	NOUN
ejpam-6025	137	20	minimizing	minimize	VERB
ejpam-6025	137	21	the	the	DET
ejpam-6025	137	22	regularized	regularize	VERB
ejpam-6025	137	23	empirical	empirical	ADJ
ejpam-6025	137	24	risk	risk	NOUN
ejpam-6025	137	25	:	:	PUNCT
ejpam-6025	137	26	r̂pen(t́	r̂pen(t́	NOUN
ejpam-6025	137	27	,	,	PUNCT
ejpam-6025	137	28	λ	λ	X
ejpam-6025	137	29	)	)	PUNCT
ejpam-6025	137	30	=	=	SYM
ejpam-6025	137	31	σi∈l(ṫ	σi∈l(ṫ	X
ejpam-6025	137	32	)	)	PUNCT
ejpam-6025	137	33	l(i	l(i	PROPN
ejpam-6025	137	34	)	)	PUNCT
ejpam-6025	138	1	+	+	NUM
ejpam-6025	138	2	λ|l(t	λ|l(t	NOUN
ejpam-6025	138	3	)	)	PUNCT
ejpam-6025	138	4	|	|	ADV
ejpam-6025	138	5	,	,	PUNCT
ejpam-6025	138	6	ch	ch	PROPN
ejpam-6025	138	7	.	.	PUNCT
ejpam-6025	138	8	ahmed	ahmed	PROPN
ejpam-6025	138	9	baba	baba	PROPN
ejpam-6025	138	10	,	,	PUNCT
ejpam-6025	138	11	a.	a.	PROPN
ejpam-6025	138	12	ka	ka	PROPN
ejpam-6025	138	13	dionque	dionque	PROPN
ejpam-6025	138	14	/	/	SYM
ejpam-6025	138	15	eur	eur	PROPN
ejpam-6025	138	16	.	.	PUNCT
ejpam-6025	139	1	j.	j.	PROPN
ejpam-6025	139	2	pure	pure	PROPN
ejpam-6025	139	3	appl	appl	PROPN
ejpam-6025	139	4	.	.	PROPN
ejpam-6025	139	5	math	math	PROPN
ejpam-6025	139	6	,	,	PUNCT
ejpam-6025	139	7	18	18	NUM
ejpam-6025	139	8	(	(	PUNCT
ejpam-6025	139	9	3	3	NUM
ejpam-6025	139	10	)	)	PUNCT
ejpam-6025	139	11	(	(	PUNCT
ejpam-6025	139	12	2025	2025	NUM
ejpam-6025	139	13	)	)	PUNCT
ejpam-6025	139	14	,	,	PUNCT
ejpam-6025	139	15	6025	6025	NUM
ejpam-6025	139	16	8	8	NUM
ejpam-6025	139	17	of	of	ADP
ejpam-6025	139	18	19	19	NUM
ejpam-6025	139	19	where	where	SCONJ
ejpam-6025	139	20	l(t́	l(t́	PROPN
ejpam-6025	139	21	)	)	PUNCT
ejpam-6025	139	22	consists	consist	VERB
ejpam-6025	139	23	of	of	ADP
ejpam-6025	139	24	the	the	DET
ejpam-6025	139	25	leaves	leave	NOUN
ejpam-6025	139	26	(	(	PUNCT
ejpam-6025	139	27	terminal	terminal	ADJ
ejpam-6025	139	28	nodes	node	NOUN
ejpam-6025	139	29	)	)	PUNCT
ejpam-6025	139	30	of	of	ADP
ejpam-6025	139	31	the	the	DET
ejpam-6025	139	32	tree	tree	NOUN
ejpam-6025	139	33	t́	t́	PROPN
ejpam-6025	139	34	and	and	CCONJ
ejpam-6025	139	35	|l(t́	|l(t́	NUM
ejpam-6025	139	36	)	)	PUNCT
ejpam-6025	140	1	|	|	ADV
ejpam-6025	140	2	the	the	DET
ejpam-6025	140	3	number	number	NOUN
ejpam-6025	140	4	of	of	ADP
ejpam-6025	140	5	leaves	leave	NOUN
ejpam-6025	140	6	.	.	PUNCT
ejpam-6025	141	1	the	the	DET
ejpam-6025	141	2	algorithm	algorithm	NOUN
ejpam-6025	141	3	calculates	calculate	VERB
ejpam-6025	141	4	the	the	DET
ejpam-6025	141	5	number	number	NOUN
ejpam-6025	141	6	k	k	PROPN
ejpam-6025	141	7	⩽	⩽	PROPN
ejpam-6025	141	8	p	p	PROPN
ejpam-6025	141	9	of	of	ADP
ejpam-6025	141	10	divisions	division	NOUN
ejpam-6025	141	11	to	to	PART
ejpam-6025	141	12	keep	keep	VERB
ejpam-6025	141	13	,	,	PUNCT
ejpam-6025	141	14	ranked	rank	VERB
ejpam-6025	141	15	in	in	ADP
ejpam-6025	141	16	decreasing	decrease	VERB
ejpam-6025	141	17	order	order	NOUN
ejpam-6025	141	18	of	of	ADP
ejpam-6025	141	19	error	error	NOUN
ejpam-6025	141	20	improvement	improvement	NOUN
ejpam-6025	141	21	.	.	PUNCT
ejpam-6025	142	1	we	we	PRON
ejpam-6025	142	2	fix	fix	VERB
ejpam-6025	142	3	(	(	PUNCT
ejpam-6025	142	4	△	△	X
ejpam-6025	142	5	{	{	PUNCT
ejpam-6025	142	6	l}1	l}1	PROPN
ejpam-6025	142	7	,	,	PUNCT
ejpam-6025	142	8	....	....	PUNCT
ejpam-6025	142	9	,	,	PUNCT
ejpam-6025	142	10	(	(	PUNCT
ejpam-6025	142	11	△	△	X
ejpam-6025	142	12	{	{	PUNCT
ejpam-6025	142	13	l}p)the	l}p)the	PROPN
ejpam-6025	142	14	improvements	improvement	NOUN
ejpam-6025	142	15	of	of	ADP
ejpam-6025	142	16	the	the	DET
ejpam-6025	142	17	error	error	NOUN
ejpam-6025	142	18	for	for	ADP
ejpam-6025	142	19	successive	successive	ADJ
ejpam-6025	142	20	divisions	division	NOUN
ejpam-6025	142	21	,	,	PUNCT
ejpam-6025	142	22	and	and	CCONJ
ejpam-6025	142	23	,	,	PUNCT
ejpam-6025	142	24	by	by	ADP
ejpam-6025	142	25	convention	convention	NOUN
ejpam-6025	142	26	,	,	PUNCT
ejpam-6025	142	27	△	△	X
ejpam-6025	142	28	mink0≤k≤p	mink0≤k≤p	NUM
ejpam-6025	143	1	[	[	X
ejpam-6025	143	2	−σ	−σ	X
ejpam-6025	143	3	△	△	X
ejpam-6025	143	4	{	{	PUNCT
ejpam-6025	143	5	lk}+	lk}+	PROPN
ejpam-6025	143	6	λ(k	λ(k	X
ejpam-6025	143	7	+	+	NOUN
ejpam-6025	143	8	1	1	NUM
ejpam-6025	143	9	)	)	PUNCT
ejpam-6025	143	10	]	]	PUNCT
ejpam-6025	143	11	.	.	PUNCT
ejpam-6025	144	1	the	the	DET
ejpam-6025	144	2	break	break	NOUN
ejpam-6025	144	3	points	point	NOUN
ejpam-6025	144	4	(	(	PUNCT
ejpam-6025	144	5	if	if	SCONJ
ejpam-6025	144	6	k	k	PROPN
ejpam-6025	144	7	>	>	X
ejpam-6025	144	8	0	0	NUM
ejpam-6025	144	9	,	,	PUNCT
ejpam-6025	144	10	)	)	PUNCT
ejpam-6025	144	11	are	be	AUX
ejpam-6025	144	12	then	then	ADV
ejpam-6025	144	13	the	the	DET
ejpam-6025	144	14	{	{	PUNCT
ejpam-6025	144	15	x1	x1	PROPN
ejpam-6025	144	16	,	,	PUNCT
ejpam-6025	144	17	...	...	PUNCT
ejpam-6025	144	18	,	,	PUNCT
ejpam-6025	144	19	xp	xp	INTJ
ejpam-6025	144	20	}	}	PUNCT
ejpam-6025	144	21	rearranged	rearrange	VERB
ejpam-6025	144	22	in	in	ADP
ejpam-6025	144	23	ascending	ascend	VERB
ejpam-6025	144	24	order	order	NOUN
ejpam-6025	144	25	of	of	ADP
ejpam-6025	144	26	their	their	PRON
ejpam-6025	144	27	value	value	NOUN
ejpam-6025	144	28	.	.	PUNCT
ejpam-6025	145	1	the	the	DET
ejpam-6025	145	2	complete	complete	ADJ
ejpam-6025	145	3	tree	tree	NOUN
ejpam-6025	145	4	construction	construction	NOUN
ejpam-6025	145	5	provides	provide	VERB
ejpam-6025	145	6	great	great	ADJ
ejpam-6025	145	7	flexibility	flexibility	NOUN
ejpam-6025	145	8	for	for	ADP
ejpam-6025	145	9	pruning	pruning	NOUN
ejpam-6025	145	10	,	,	PUNCT
ejpam-6025	145	11	which	which	PRON
ejpam-6025	145	12	can	can	AUX
ejpam-6025	145	13	be	be	AUX
ejpam-6025	145	14	evaluated	evaluate	VERB
ejpam-6025	145	15	without	without	ADP
ejpam-6025	145	16	having	have	VERB
ejpam-6025	145	17	to	to	PART
ejpam-6025	145	18	repeat	repeat	VERB
ejpam-6025	145	19	the	the	DET
ejpam-6025	145	20	first	first	ADJ
ejpam-6025	145	21	step	step	NOUN
ejpam-6025	145	22	.	.	PUNCT
ejpam-6025	146	1	an	an	DET
ejpam-6025	146	2	alternative	alternative	ADJ
ejpam-6025	146	3	complexity	complexity	NOUN
ejpam-6025	146	4	criterion	criterion	NOUN
ejpam-6025	146	5	can	can	AUX
ejpam-6025	146	6	consist	consist	VERB
ejpam-6025	146	7	of	of	ADP
ejpam-6025	146	8	a	a	DET
ejpam-6025	146	9	minimum	minimum	ADJ
ejpam-6025	146	10	improvement	improvement	NOUN
ejpam-6025	146	11	threshold	threshold	NOUN
ejpam-6025	146	12	△	△	X
ejpam-6025	146	13	{	{	PUNCT
ejpam-6025	146	14	l	l	NOUN
ejpam-6025	146	15	}	}	PUNCT
ejpam-6025	146	16	in	in	ADP
ejpam-6025	146	17	the	the	DET
ejpam-6025	146	18	manner	manner	NOUN
ejpam-6025	146	19	of	of	ADP
ejpam-6025	146	20	optimization	optimization	NOUN
ejpam-6025	146	21	procedures	procedure	NOUN
ejpam-6025	146	22	.	.	PUNCT
ejpam-6025	147	1	figure	figure	NOUN
ejpam-6025	147	2	2	2	NUM
ejpam-6025	147	3	:	:	PUNCT
ejpam-6025	147	4	pruning	prune	VERB
ejpam-6025	147	5	using	use	VERB
ejpam-6025	147	6	the	the	DET
ejpam-6025	147	7	cart	cart	NOUN
ejpam-6025	147	8	method	method	NOUN
ejpam-6025	147	9	:	:	PUNCT
ejpam-6025	147	10	partition	partition	NOUN
ejpam-6025	147	11	composed	compose	VERB
ejpam-6025	147	12	of	of	ADP
ejpam-6025	147	13	i1,0	i1,0	PROPN
ejpam-6025	147	14	,	,	PUNCT
ejpam-6025	147	15	i2,3	i2,3	PROPN
ejpam-6025	147	16	,	,	PUNCT
ejpam-6025	147	17	and	and	CCONJ
ejpam-6025	147	18	i2,4	i2,4	NOUN
ejpam-6025	147	19	.	.	PROPN
ejpam-6025	147	20	3.3	3.3	NUM
ejpam-6025	147	21	.	.	PUNCT
ejpam-6025	148	1	input	input	NOUN
ejpam-6025	148	2	let	let	VERB
ejpam-6025	148	3	{	{	PUNCT
ejpam-6025	148	4	t1	t1	NOUN
ejpam-6025	148	5	,	,	PUNCT
ejpam-6025	148	6	...	...	PUNCT
ejpam-6025	148	7	,	,	PUNCT
ejpam-6025	148	8	tk−1	tk−1	PROPN
ejpam-6025	148	9	}	}	PUNCT
ejpam-6025	148	10	and	and	CCONJ
ejpam-6025	148	11	the	the	DET
ejpam-6025	148	12	homogeneous	homogeneous	ADJ
ejpam-6025	148	13	segments	segment	NOUN
ejpam-6025	148	14	{	{	PUNCT
ejpam-6025	148	15	i1	i1	PROPN
ejpam-6025	148	16	,	,	PUNCT
ejpam-6025	148	17	...	...	PUNCT
ejpam-6025	148	18	,	,	PUNCT
ejpam-6025	148	19	ik	ik	X
ejpam-6025	148	20	}	}	PUNCT
ejpam-6025	148	21	,	,	PUNCT
ejpam-6025	148	22	associated	associate	VERB
ejpam-6025	148	23	,	,	PUNCT
ejpam-6025	148	24	the	the	DET
ejpam-6025	148	25	duration	duration	NOUN
ejpam-6025	148	26	{	{	PUNCT
ejpam-6025	148	27	τ1	τ1	NOUN
ejpam-6025	148	28	,	,	PUNCT
ejpam-6025	148	29	...	...	PUNCT
ejpam-6025	148	30	,	,	PUNCT
ejpam-6025	148	31	τk	τk	ADP
ejpam-6025	148	32	}	}	PUNCT
ejpam-6025	148	33	of	of	ADP
ejpam-6025	148	34	each	each	DET
ejpam-6025	148	35	homogeneous	homogeneous	ADJ
ejpam-6025	148	36	period	period	NOUN
ejpam-6025	148	37	,	,	PUNCT
ejpam-6025	148	38	the	the	DET
ejpam-6025	148	39	slope	slope	NOUN
ejpam-6025	148	40	{	{	PUNCT
ejpam-6025	148	41	β1	β1	PROPN
ejpam-6025	148	42	,	,	PUNCT
ejpam-6025	148	43	...	...	PUNCT
ejpam-6025	148	44	,	,	PUNCT
ejpam-6025	148	45	βk	βk	ADP
ejpam-6025	148	46	}	}	PUNCT
ejpam-6025	148	47	for	for	ADP
ejpam-6025	148	48	each	each	DET
ejpam-6025	148	49	segment	segment	NOUN
ejpam-6025	148	50	,	,	PUNCT
ejpam-6025	148	51	as	as	ADV
ejpam-6025	148	52	well	well	ADV
ejpam-6025	148	53	as	as	ADP
ejpam-6025	148	54	the	the	DET
ejpam-6025	148	55	variance	variance	NOUN
ejpam-6025	148	56	of	of	ADP
ejpam-6025	148	57	the	the	DET
ejpam-6025	148	58	residuals	residual	NOUN
ejpam-6025	148	59	{	{	PUNCT
ejpam-6025	148	60	ν1	ν1	NOUN
ejpam-6025	148	61	,	,	PUNCT
ejpam-6025	148	62	...	...	PUNCT
ejpam-6025	148	63	,	,	PUNCT
ejpam-6025	148	64	νk	νk	AUX
ejpam-6025	148	65	}	}	PUNCT
ejpam-6025	148	66	on	on	ADP
ejpam-6025	148	67	each	each	DET
ejpam-6025	148	68	segment	segment	NOUN
ejpam-6025	148	69	,	,	PUNCT
ejpam-6025	148	70	estimated	estimate	VERB
ejpam-6025	148	71	by	by	ADP
ejpam-6025	148	72	the	the	DET
ejpam-6025	148	73	l⋆(i0.1	l⋆(i0.1	PROPN
ejpam-6025	148	74	)	)	PUNCT
ejpam-6025	148	75	higher	high	ADJ
ejpam-6025	148	76	order	order	NOUN
ejpam-6025	148	77	moments	moment	NOUN
ejpam-6025	148	78	,	,	PUNCT
ejpam-6025	148	79	if	if	SCONJ
ejpam-6025	148	80	the	the	DET
ejpam-6025	148	81	size	size	NOUN
ejpam-6025	148	82	of	of	ADP
ejpam-6025	148	83	the	the	DET
ejpam-6025	148	84	segments	segment	NOUN
ejpam-6025	148	85	allows	allow	VERB
ejpam-6025	148	86	it	it	PRON
ejpam-6025	148	87	.	.	PUNCT
ejpam-6025	149	1	to	to	PART
ejpam-6025	149	2	work	work	VERB
ejpam-6025	149	3	with	with	ADP
ejpam-6025	149	4	comparable	comparable	ADJ
ejpam-6025	149	5	quantities	quantity	NOUN
ejpam-6025	149	6	between	between	ADP
ejpam-6025	149	7	assets	asset	NOUN
ejpam-6025	149	8	,	,	PUNCT
ejpam-6025	149	9	it	it	PRON
ejpam-6025	149	10	is	be	AUX
ejpam-6025	149	11	common	common	ADJ
ejpam-6025	149	12	in	in	ADP
ejpam-6025	149	13	the	the	DET
ejpam-6025	149	14	financial	financial	ADJ
ejpam-6025	149	15	field	field	NOUN
ejpam-6025	149	16	to	to	PART
ejpam-6025	149	17	consider	consider	VERB
ejpam-6025	149	18	the	the	DET
ejpam-6025	149	19	trend	trend	NOUN
ejpam-6025	149	20	(	(	PUNCT
ejpam-6025	149	21	average	average	ADJ
ejpam-6025	149	22	return	return	NOUN
ejpam-6025	149	23	)	)	PUNCT
ejpam-6025	149	24	and	and	CCONJ
ejpam-6025	149	25	volatility	volatility	NOUN
ejpam-6025	149	26	,	,	PUNCT
ejpam-6025	149	27	defined	define	VERB
ejpam-6025	149	28	respectively	respectively	ADV
ejpam-6025	149	29	as	as	ADP
ejpam-6025	149	30	the	the	DET
ejpam-6025	149	31	slope	slope	NOUN
ejpam-6025	149	32	and	and	CCONJ
ejpam-6025	149	33	the	the	DET
ejpam-6025	149	34	standard	standard	ADJ
ejpam-6025	149	35	deviation	deviation	NOUN
ejpam-6025	149	36	in	in	ADP
ejpam-6025	149	37	relation	relation	NOUN
ejpam-6025	149	38	to	to	ADP
ejpam-6025	149	39	the	the	DET
ejpam-6025	149	40	price	price	NOUN
ejpam-6025	149	41	,	,	PUNCT
ejpam-6025	149	42	per	per	ADP
ejpam-6025	149	43	unit	unit	NOUN
ejpam-6025	149	44	of	of	ADP
ejpam-6025	149	45	time	time	NOUN
ejpam-6025	149	46	.	.	PUNCT
ejpam-6025	150	1	rk	rk	NOUN
ejpam-6025	150	2	=	=	NOUN
ejpam-6025	150	3	1	1	NUM
ejpam-6025	150	4	τk	τk	ADP
ejpam-6025	150	5	βk	βk	ADP
ejpam-6025	150	6	ȳk	ȳk	PROPN
ejpam-6025	150	7	,	,	PUNCT
ejpam-6025	150	8	et	et	NOUN
ejpam-6025	150	9	σk	σk	ADV
ejpam-6025	150	10	=	=	NOUN
ejpam-6025	150	11	1	1	NUM
ejpam-6025	150	12	τk	τk	ADP
ejpam-6025	150	13	√	√	ADP
ejpam-6025	151	1	νk	νk	NOUN
ejpam-6025	151	2	ȳk	ȳk	PROPN
ejpam-6025	151	3	ch	ch	NOUN
ejpam-6025	151	4	.	.	PUNCT
ejpam-6025	152	1	ahmed	ahmed	PROPN
ejpam-6025	152	2	baba	baba	PROPN
ejpam-6025	152	3	,	,	PUNCT
ejpam-6025	152	4	a.	a.	PROPN
ejpam-6025	152	5	ka	ka	PROPN
ejpam-6025	152	6	dionque	dionque	PROPN
ejpam-6025	152	7	/	/	SYM
ejpam-6025	152	8	eur	eur	PROPN
ejpam-6025	152	9	.	.	PUNCT
ejpam-6025	153	1	j.	j.	PROPN
ejpam-6025	153	2	pure	pure	PROPN
ejpam-6025	153	3	appl	appl	PROPN
ejpam-6025	153	4	.	.	PROPN
ejpam-6025	153	5	math	math	PROPN
ejpam-6025	153	6	,	,	PUNCT
ejpam-6025	153	7	18	18	NUM
ejpam-6025	153	8	(	(	PUNCT
ejpam-6025	153	9	3	3	NUM
ejpam-6025	153	10	)	)	PUNCT
ejpam-6025	153	11	(	(	PUNCT
ejpam-6025	153	12	2025	2025	NUM
ejpam-6025	153	13	)	)	PUNCT
ejpam-6025	153	14	,	,	PUNCT
ejpam-6025	153	15	6025	6025	NUM
ejpam-6025	153	16	9	9	NUM
ejpam-6025	153	17	of	of	ADP
ejpam-6025	153	18	19	19	NUM
ejpam-6025	153	19	we	we	PRON
ejpam-6025	153	20	will	will	AUX
ejpam-6025	153	21	also	also	ADV
ejpam-6025	153	22	refer	refer	VERB
ejpam-6025	153	23	to	to	ADP
ejpam-6025	153	24	each	each	DET
ejpam-6025	153	25	segment	segment	NOUN
ejpam-6025	153	26	as	as	ADP
ejpam-6025	153	27	a	a	DET
ejpam-6025	153	28	diet	diet	NOUN
ejpam-6025	153	29	.	.	PUNCT
ejpam-6025	154	1	we	we	PRON
ejpam-6025	154	2	will	will	AUX
ejpam-6025	154	3	also	also	ADV
ejpam-6025	154	4	refer	refer	VERB
ejpam-6025	154	5	to	to	ADP
ejpam-6025	154	6	each	each	DET
ejpam-6025	154	7	segment	segment	NOUN
ejpam-6025	154	8	as	as	ADP
ejpam-6025	154	9	a	a	DET
ejpam-6025	154	10	diet	diet	NOUN
ejpam-6025	154	11	.	.	PUNCT
ejpam-6025	155	1	we	we	PRON
ejpam-6025	155	2	examine	examine	VERB
ejpam-6025	155	3	,	,	PUNCT
ejpam-6025	155	4	from	from	ADP
ejpam-6025	155	5	a	a	DET
ejpam-6025	155	6	global	global	ADJ
ejpam-6025	155	7	perspective	perspective	NOUN
ejpam-6025	155	8	,	,	PUNCT
ejpam-6025	155	9	a	a	DET
ejpam-6025	155	10	set	set	NOUN
ejpam-6025	155	11	of	of	ADP
ejpam-6025	155	12	d	d	NOUN
ejpam-6025	155	13	assets	asset	NOUN
ejpam-6025	155	14	chosen	choose	VERB
ejpam-6025	155	15	to	to	PART
ejpam-6025	155	16	represent	represent	VERB
ejpam-6025	155	17	the	the	DET
ejpam-6025	155	18	market	market	NOUN
ejpam-6025	155	19	,	,	PUNCT
ejpam-6025	155	20	at	at	ADP
ejpam-6025	155	21	a	a	DET
ejpam-6025	155	22	date	date	NOUN
ejpam-6025	155	23	t	t	NOUN
ejpam-6025	155	24	,	,	PUNCT
ejpam-6025	155	25	and	and	CCONJ
ejpam-6025	155	26	an	an	DET
ejpam-6025	155	27	observation	observation	NOUN
ejpam-6025	155	28	window	window	NOUN
ejpam-6025	155	29	t	t	PROPN
ejpam-6025	155	30	on	on	ADP
ejpam-6025	155	31	the	the	DET
ejpam-6025	155	32	data	datum	NOUN
ejpam-6025	155	33	,	,	PUNCT
ejpam-6025	155	34	i.e.	i.e.	X
ejpam-6025	155	35	the	the	DET
ejpam-6025	155	36	interval	interval	NOUN
ejpam-6025	155	37	[	[	X
ejpam-6025	155	38	t	t	PROPN
ejpam-6025	155	39	-	-	PUNCT
ejpam-6025	155	40	t	t	NOUN
ejpam-6025	155	41	+	+	NUM
ejpam-6025	155	42	1	1	NUM
ejpam-6025	155	43	,	,	PUNCT
ejpam-6025	155	44	t	t	PROPN
ejpam-6025	155	45	]	]	PUNCT
ejpam-6025	155	46	.	.	PUNCT
ejpam-6025	156	1	for	for	ADP
ejpam-6025	156	2	each	each	DET
ejpam-6025	156	3	asset	asset	NOUN
ejpam-6025	156	4	d	d	NOUN
ejpam-6025	156	5	,	,	PUNCT
ejpam-6025	156	6	we	we	PRON
ejpam-6025	156	7	propose	propose	VERB
ejpam-6025	156	8	to	to	PART
ejpam-6025	156	9	perform	perform	VERB
ejpam-6025	156	10	the	the	DET
ejpam-6025	156	11	segmentation	segmentation	NOUN
ejpam-6025	156	12	and	and	CCONJ
ejpam-6025	156	13	keep	keep	VERB
ejpam-6025	156	14	only	only	ADV
ejpam-6025	156	15	the	the	DET
ejpam-6025	156	16	last	last	ADJ
ejpam-6025	156	17	k̊	k̊	PROPN
ejpam-6025	156	18	segments	segment	NOUN
ejpam-6025	156	19	to	to	PART
ejpam-6025	156	20	reflect	reflect	VERB
ejpam-6025	156	21	the	the	DET
ejpam-6025	156	22	recent	recent	ADJ
ejpam-6025	156	23	behavior	behavior	NOUN
ejpam-6025	156	24	and	and	CCONJ
ejpam-6025	156	25	control	control	VERB
ejpam-6025	156	26	the	the	DET
ejpam-6025	156	27	final	final	ADJ
ejpam-6025	156	28	dimension	dimension	NOUN
ejpam-6025	156	29	of	of	ADP
ejpam-6025	156	30	the	the	DET
ejpam-6025	156	31	data	datum	NOUN
ejpam-6025	156	32	.	.	PUNCT
ejpam-6025	157	1	we	we	PRON
ejpam-6025	157	2	therefore	therefore	ADV
ejpam-6025	157	3	select	select	VERB
ejpam-6025	157	4	several	several	ADJ
ejpam-6025	157	5	vectors	vector	NOUN
ejpam-6025	157	6	of	of	ADP
ejpam-6025	157	7	size	size	NOUN
ejpam-6025	157	8	k̊	k̊	PROPN
ejpam-6025	157	9	:	:	PUNCT
ejpam-6025	157	10	•.	•.	NOUN
ejpam-6025	157	11	trends	trend	VERB
ejpam-6025	157	12	rdt	rdt	PROPN
ejpam-6025	157	13	=	=	SYM
ejpam-6025	157	14	(	(	PUNCT
ejpam-6025	157	15	rk−	rk−	NOUN
ejpam-6025	157	16	˚k+1	˚k+1	ADJ
ejpam-6025	157	17	,	,	PUNCT
ejpam-6025	157	18	...	...	PUNCT
ejpam-6025	157	19	rk)d́	rk)d́	NOUN
ejpam-6025	157	20	,	,	PUNCT
ejpam-6025	157	21	•.	•.	NOUN
ejpam-6025	157	22	volatilities	volatility	NOUN
ejpam-6025	157	23	ϱdt	ϱdt	NOUN
ejpam-6025	157	24	=	=	SYM
ejpam-6025	157	25	(	(	PUNCT
ejpam-6025	157	26	σk−	σk−	PROPN
ejpam-6025	157	27	˚k+1	˚k+1	PROPN
ejpam-6025	157	28	,	,	PUNCT
ejpam-6025	157	29	...	...	PUNCT
ejpam-6025	157	30	σk)d́	σk)d́	NOUN
ejpam-6025	157	31	and	and	CCONJ
ejpam-6025	157	32	•.	•.	NOUN
ejpam-6025	157	33	durations	duration	NOUN
ejpam-6025	157	34	τdt	τdt	NOUN
ejpam-6025	157	35	=	=	SYM
ejpam-6025	157	36	(	(	PUNCT
ejpam-6025	157	37	τk−	τk−	PUNCT
ejpam-6025	157	38	˚k+1	˚k+1	PROPN
ejpam-6025	157	39	,	,	PUNCT
ejpam-6025	157	40	...	...	PUNCT
ejpam-6025	157	41	τk)d́	τk)d́	NOUN
ejpam-6025	157	42	that	that	PRON
ejpam-6025	157	43	we	we	PRON
ejpam-6025	157	44	decide	decide	VERB
ejpam-6025	157	45	to	to	PART
ejpam-6025	157	46	omit	omit	VERB
ejpam-6025	157	47	at	at	ADP
ejpam-6025	157	48	first	first	ADV
ejpam-6025	157	49	.	.	PUNCT
ejpam-6025	158	1	the	the	DET
ejpam-6025	158	2	final	final	ADJ
ejpam-6025	158	3	descriptive	descriptive	ADJ
ejpam-6025	158	4	vector	vector	NOUN
ejpam-6025	158	5	at	at	ADP
ejpam-6025	158	6	date	date	NOUN
ejpam-6025	158	7	t	t	PROPN
ejpam-6025	158	8	is	be	AUX
ejpam-6025	158	9	given	give	VERB
ejpam-6025	158	10	by	by	ADP
ejpam-6025	158	11	:	:	PUNCT
ejpam-6025	158	12	xt	xt	PROPN
ejpam-6025	158	13	=	=	SYM
ejpam-6025	158	14	(	(	PUNCT
ejpam-6025	158	15	r1	r1	PROPN
ejpam-6025	158	16	t	t	PROPN
ejpam-6025	158	17	,	,	PUNCT
ejpam-6025	158	18	....	....	PUNCT
ejpam-6025	158	19	,	,	PUNCT
ejpam-6025	158	20	r	r	NOUN
ejpam-6025	158	21	d	d	PROPN
ejpam-6025	158	22	t	t	PROPN
ejpam-6025	158	23	,	,	PUNCT
ejpam-6025	158	24	σ1	σ1	PROPN
ejpam-6025	158	25	t	t	PROPN
ejpam-6025	158	26	,	,	PUNCT
ejpam-6025	158	27	...	...	PUNCT
ejpam-6025	158	28	,	,	PUNCT
ejpam-6025	158	29	σ	σ	PROPN
ejpam-6025	158	30	d	d	PROPN
ejpam-6025	158	31	t	t	PROPN
ejpam-6025	158	32	)	)	PUNCT
ejpam-6025	158	33	4	4	NUM
ejpam-6025	158	34	.	.	PUNCT
ejpam-6025	158	35	optimization	optimization	NOUN
ejpam-6025	158	36	procedure	procedure	NOUN
ejpam-6025	158	37	before	before	ADP
ejpam-6025	158	38	accessing	access	VERB
ejpam-6025	158	39	the	the	DET
ejpam-6025	158	40	optimization	optimization	NOUN
ejpam-6025	158	41	procedure	procedure	NOUN
ejpam-6025	158	42	,	,	PUNCT
ejpam-6025	158	43	we	we	PRON
ejpam-6025	158	44	define	define	VERB
ejpam-6025	158	45	some	some	DET
ejpam-6025	158	46	useful	useful	ADJ
ejpam-6025	158	47	concepts	concept	NOUN
ejpam-6025	158	48	relating	relate	VERB
ejpam-6025	158	49	to	to	ADP
ejpam-6025	158	50	portfolio	portfolio	NOUN
ejpam-6025	158	51	optimization	optimization	NOUN
ejpam-6025	158	52	:	:	PUNCT
ejpam-6025	158	53	4.1	4.1	NUM
ejpam-6025	158	54	.	.	PUNCT
ejpam-6025	158	55	profitability	profitability	NOUN
ejpam-6025	158	56	and	and	CCONJ
ejpam-6025	158	57	value	value	NOUN
ejpam-6025	158	58	portfolio	portfolio	NOUN
ejpam-6025	158	59	we	we	PRON
ejpam-6025	158	60	call	call	VERB
ejpam-6025	158	61	the	the	DET
ejpam-6025	158	62	return	return	NOUN
ejpam-6025	158	63	rt	rt	PROPN
ejpam-6025	158	64	of	of	ADP
ejpam-6025	158	65	a	a	DET
ejpam-6025	158	66	stock	stock	NOUN
ejpam-6025	158	67	obtained	obtain	VERB
ejpam-6025	158	68	by	by	ADP
ejpam-6025	158	69	investing	invest	VERB
ejpam-6025	158	70	in	in	ADP
ejpam-6025	158	71	a	a	DET
ejpam-6025	158	72	stock	stock	NOUN
ejpam-6025	158	73	,	,	PUNCT
ejpam-6025	158	74	the	the	DET
ejpam-6025	158	75	ratio	ratio	NOUN
ejpam-6025	158	76	between	between	ADP
ejpam-6025	158	77	the	the	DET
ejpam-6025	158	78	price	price	NOUN
ejpam-6025	158	79	of	of	ADP
ejpam-6025	158	80	the	the	DET
ejpam-6025	158	81	stock	stock	NOUN
ejpam-6025	158	82	at	at	ADP
ejpam-6025	158	83	time	time	NOUN
ejpam-6025	158	84	t	t	PROPN
ejpam-6025	158	85	and	and	CCONJ
ejpam-6025	158	86	its	its	PRON
ejpam-6025	158	87	price	price	NOUN
ejpam-6025	158	88	at	at	ADP
ejpam-6025	158	89	t	t	PROPN
ejpam-6025	158	90	−	−	PROPN
ejpam-6025	158	91	1	1	NUM
ejpam-6025	158	92	,	,	PUNCT
ejpam-6025	158	93	plus	plus	CCONJ
ejpam-6025	158	94	the	the	DET
ejpam-6025	158	95	income	income	NOUN
ejpam-6025	158	96	(	(	PUNCT
ejpam-6025	158	97	dividends	dividend	NOUN
ejpam-6025	158	98	)	)	PUNCT
ejpam-6025	158	99	received	receive	VERB
ejpam-6025	158	100	during	during	ADP
ejpam-6025	158	101	the	the	DET
ejpam-6025	158	102	period	period	NOUN
ejpam-6025	158	103	[	[	X
ejpam-6025	158	104	t−	t−	PROPN
ejpam-6025	158	105	1	1	NUM
ejpam-6025	158	106	;	;	PUNCT
ejpam-6025	158	107	t	t	PROPN
ejpam-6025	158	108	]	]	PUNCT
ejpam-6025	158	109	:	:	PUNCT
ejpam-6025	158	110	rt	rt	PROPN
ejpam-6025	158	111	=	=	PUNCT
ejpam-6025	158	112	ct	ct	PROPN
ejpam-6025	158	113	−	−	PROPN
ejpam-6025	158	114	ct−1	ct−1	PROPN
ejpam-6025	158	115	+	+	CCONJ
ejpam-6025	158	116	dt	dt	PROPN
ejpam-6025	158	117	ct−1	ct−1	PROPN
ejpam-6025	158	118	,	,	PUNCT
ejpam-6025	158	119	where	where	SCONJ
ejpam-6025	158	120	:	:	PUNCT
ejpam-6025	158	121	•	•	X
ejpam-6025	158	122	ct	ct	X
ejpam-6025	158	123	:	:	PUNCT
ejpam-6025	158	124	the	the	DET
ejpam-6025	158	125	price	price	NOUN
ejpam-6025	158	126	of	of	ADP
ejpam-6025	158	127	the	the	DET
ejpam-6025	158	128	stock	stock	NOUN
ejpam-6025	158	129	i	i	PRON
ejpam-6025	158	130	at	at	ADP
ejpam-6025	158	131	the	the	DET
ejpam-6025	158	132	end	end	NOUN
ejpam-6025	158	133	of	of	ADP
ejpam-6025	158	134	the	the	DET
ejpam-6025	158	135	period	period	NOUN
ejpam-6025	158	136	t.	t.	NOUN
ejpam-6025	158	137	•	•	PROPN
ejpam-6025	158	138	dt	dt	NOUN
ejpam-6025	158	139	:	:	PUNCT
ejpam-6025	158	140	dividend	dividend	NOUN
ejpam-6025	158	141	income	income	NOUN
ejpam-6025	158	142	at	at	ADP
ejpam-6025	158	143	the	the	DET
ejpam-6025	158	144	end	end	NOUN
ejpam-6025	158	145	of	of	ADP
ejpam-6025	158	146	the	the	DET
ejpam-6025	158	147	period	period	NOUN
ejpam-6025	158	148	.	.	PUNCT
ejpam-6025	159	1	the	the	DET
ejpam-6025	159	2	expected	expect	VERB
ejpam-6025	159	3	return	return	NOUN
ejpam-6025	159	4	of	of	ADP
ejpam-6025	159	5	a	a	DET
ejpam-6025	159	6	stock	stock	NOUN
ejpam-6025	159	7	for	for	ADP
ejpam-6025	159	8	a	a	DET
ejpam-6025	159	9	period	period	NOUN
ejpam-6025	159	10	t	t	NOUN
ejpam-6025	159	11	is	be	AUX
ejpam-6025	159	12	given	give	VERB
ejpam-6025	159	13	by	by	ADP
ejpam-6025	159	14	:	:	PUNCT
ejpam-6025	159	15	ri	ri	PROPN
ejpam-6025	159	16	=	=	SYM
ejpam-6025	159	17	1	1	NUM
ejpam-6025	159	18	t	t	NOUN
ejpam-6025	159	19	t∑	t∑	PROPN
ejpam-6025	159	20	t=1	t=1	PROPN
ejpam-6025	159	21	rit	rit	PROPN
ejpam-6025	159	22	.	.	PUNCT
ejpam-6025	160	1	the	the	DET
ejpam-6025	160	2	profitability	profitability	NOUN
ejpam-6025	160	3	of	of	ADP
ejpam-6025	160	4	a	a	DET
ejpam-6025	160	5	portfolio	portfolio	NOUN
ejpam-6025	160	6	consisting	consist	VERB
ejpam-6025	160	7	of	of	ADP
ejpam-6025	160	8	the	the	DET
ejpam-6025	160	9	expected	expect	VERB
ejpam-6025	160	10	returns	return	NOUN
ejpam-6025	160	11	of	of	ADP
ejpam-6025	160	12	k	k	PROPN
ejpam-6025	160	13	stocks	stocks	PROPN
ejpam-6025	160	14	ri	ri	PROPN
ejpam-6025	160	15	,	,	PUNCT
ejpam-6025	160	16	where	where	SCONJ
ejpam-6025	160	17	i	i	PRON
ejpam-6025	160	18	=	=	NOUN
ejpam-6025	160	19	1	1	NUM
ejpam-6025	160	20	,	,	PUNCT
ejpam-6025	160	21	.	.	PUNCT
ejpam-6025	160	22	.	.	PUNCT
ejpam-6025	160	23	.	.	PUNCT
ejpam-6025	161	1	,	,	PUNCT
ejpam-6025	161	2	k	k	NOUN
ejpam-6025	161	3	,	,	PUNCT
ejpam-6025	161	4	is	be	AUX
ejpam-6025	161	5	:	:	PUNCT
ejpam-6025	161	6	rp	rp	NOUN
ejpam-6025	161	7	=	=	SYM
ejpam-6025	161	8	k∑	k∑	PROPN
ejpam-6025	161	9	i=1	i=1	PROPN
ejpam-6025	162	1	xiri	xiri	PROPN
ejpam-6025	162	2	,	,	PUNCT
ejpam-6025	162	3	where	where	SCONJ
ejpam-6025	162	4	x1	x1	ADJ
ejpam-6025	162	5	,	,	PUNCT
ejpam-6025	162	6	.	.	PUNCT
ejpam-6025	162	7	.	.	PUNCT
ejpam-6025	163	1	.	.	PUNCT
ejpam-6025	164	1	,	,	PUNCT
ejpam-6025	164	2	xn	xn	PROPN
ejpam-6025	164	3	are	be	AUX
ejpam-6025	164	4	the	the	DET
ejpam-6025	164	5	proportions	proportion	NOUN
ejpam-6025	164	6	of	of	ADP
ejpam-6025	164	7	the	the	DET
ejpam-6025	164	8	investor	investor	NOUN
ejpam-6025	164	9	’s	’s	PART
ejpam-6025	164	10	wealth	wealth	NOUN
ejpam-6025	164	11	allocated	allocate	VERB
ejpam-6025	164	12	to	to	ADP
ejpam-6025	164	13	shares	share	NOUN
ejpam-6025	164	14	i	i	PRON
ejpam-6025	164	15	respectively	respectively	ADV
ejpam-6025	164	16	(	(	PUNCT
ejpam-6025	164	17	i	i	NOUN
ejpam-6025	164	18	=	=	NOUN
ejpam-6025	164	19	1	1	NUM
ejpam-6025	164	20	,	,	PUNCT
ejpam-6025	164	21	.	.	PUNCT
ejpam-6025	164	22	.	.	PUNCT
ejpam-6025	165	1	.	.	PUNCT
ejpam-6025	166	1	,	,	PUNCT
ejpam-6025	166	2	k	k	NOUN
ejpam-6025	166	3	)	)	PUNCT
ejpam-6025	166	4	.	.	PUNCT
ejpam-6025	167	1	for	for	ADP
ejpam-6025	167	2	a	a	DET
ejpam-6025	167	3	portfolio	portfolio	NOUN
ejpam-6025	167	4	containing	contain	VERB
ejpam-6025	167	5	k	k	PROPN
ejpam-6025	167	6	stocks	stock	NOUN
ejpam-6025	167	7	,	,	PUNCT
ejpam-6025	167	8	its	its	PRON
ejpam-6025	167	9	value	value	NOUN
ejpam-6025	167	10	is	be	AUX
ejpam-6025	167	11	given	give	VERB
ejpam-6025	167	12	by	by	ADP
ejpam-6025	167	13	:	:	PUNCT
ejpam-6025	167	14	v	v	NOUN
ejpam-6025	167	15	=	=	SYM
ejpam-6025	167	16	k∑	k∑	PROPN
ejpam-6025	167	17	i=1	i=1	X
ejpam-6025	167	18	xi	xi	PROPN
ejpam-6025	167	19	·	·	PUNCT
ejpam-6025	167	20	vi	vi	PROPN
ejpam-6025	167	21	ch	ch	PROPN
ejpam-6025	167	22	.	.	PUNCT
ejpam-6025	168	1	ahmed	ahmed	PROPN
ejpam-6025	168	2	baba	baba	PROPN
ejpam-6025	168	3	,	,	PUNCT
ejpam-6025	168	4	a.	a.	PROPN
ejpam-6025	168	5	ka	ka	PROPN
ejpam-6025	168	6	dionque	dionque	PROPN
ejpam-6025	168	7	/	/	SYM
ejpam-6025	168	8	eur	eur	PROPN
ejpam-6025	168	9	.	.	PUNCT
ejpam-6025	169	1	j.	j.	PROPN
ejpam-6025	169	2	pure	pure	PROPN
ejpam-6025	169	3	appl	appl	PROPN
ejpam-6025	169	4	.	.	PROPN
ejpam-6025	169	5	math	math	PROPN
ejpam-6025	169	6	,	,	PUNCT
ejpam-6025	169	7	18	18	NUM
ejpam-6025	169	8	(	(	PUNCT
ejpam-6025	169	9	3	3	NUM
ejpam-6025	169	10	)	)	PUNCT
ejpam-6025	169	11	(	(	PUNCT
ejpam-6025	169	12	2025	2025	NUM
ejpam-6025	169	13	)	)	PUNCT
ejpam-6025	169	14	,	,	PUNCT
ejpam-6025	169	15	6025	6025	NUM
ejpam-6025	169	16	10	10	NUM
ejpam-6025	169	17	of	of	ADP
ejpam-6025	169	18	19	19	NUM
ejpam-6025	169	19	where	where	SCONJ
ejpam-6025	169	20	x1	x1	ADJ
ejpam-6025	169	21	,	,	PUNCT
ejpam-6025	169	22	.	.	PUNCT
ejpam-6025	169	23	.	.	PUNCT
ejpam-6025	169	24	.	.	PUNCT
ejpam-6025	170	1	,	,	PUNCT
ejpam-6025	170	2	xk	xk	PROPN
ejpam-6025	170	3	are	be	AUX
ejpam-6025	170	4	the	the	DET
ejpam-6025	170	5	quantities	quantity	NOUN
ejpam-6025	170	6	of	of	ADP
ejpam-6025	170	7	the	the	DET
ejpam-6025	170	8	investor	investor	NOUN
ejpam-6025	170	9	’s	’s	PART
ejpam-6025	170	10	wealth	wealth	NOUN
ejpam-6025	170	11	allocated	allocate	VERB
ejpam-6025	170	12	to	to	ADP
ejpam-6025	170	13	the	the	DET
ejpam-6025	170	14	shares	share	NOUN
ejpam-6025	170	15	respectively	respectively	ADV
ejpam-6025	170	16	,	,	PUNCT
ejpam-6025	170	17	and	and	CCONJ
ejpam-6025	170	18	vi	vi	PROPN
ejpam-6025	170	19	is	be	AUX
ejpam-6025	170	20	the	the	DET
ejpam-6025	170	21	value	value	NOUN
ejpam-6025	170	22	of	of	ADP
ejpam-6025	170	23	the	the	DET
ejpam-6025	170	24	ith	ith	PROPN
ejpam-6025	170	25	action	action	NOUN
ejpam-6025	170	26	.	.	PUNCT
ejpam-6025	171	1	the	the	DET
ejpam-6025	171	2	change	change	NOUN
ejpam-6025	171	3	in	in	ADP
ejpam-6025	171	4	value	value	NOUN
ejpam-6025	171	5	will	will	AUX
ejpam-6025	171	6	obey	obey	VERB
ejpam-6025	171	7	the	the	DET
ejpam-6025	171	8	following	follow	VERB
ejpam-6025	171	9	relationship	relationship	NOUN
ejpam-6025	171	10	:	:	PUNCT
ejpam-6025	171	11	∆v	∆v	PROPN
ejpam-6025	171	12	(	(	PUNCT
ejpam-6025	171	13	x	x	X
ejpam-6025	171	14	)	)	PUNCT
ejpam-6025	171	15	=	=	SYM
ejpam-6025	171	16	k∑	k∑	VERB
ejpam-6025	171	17	i=1	i=1	X
ejpam-6025	171	18	xi∆vi	xi∆vi	PROPN
ejpam-6025	171	19	.	.	PUNCT
ejpam-6025	172	1	4.2	4.2	NUM
ejpam-6025	172	2	.	.	PUNCT
ejpam-6025	172	3	risk	risk	NOUN
ejpam-6025	172	4	portfolio	portfolio	NOUN
ejpam-6025	172	5	the	the	DET
ejpam-6025	172	6	risk	risk	NOUN
ejpam-6025	172	7	of	of	ADP
ejpam-6025	172	8	a	a	DET
ejpam-6025	172	9	financial	financial	ADJ
ejpam-6025	172	10	asset	asset	NOUN
ejpam-6025	172	11	is	be	AUX
ejpam-6025	172	12	the	the	DET
ejpam-6025	172	13	uncertainty	uncertainty	NOUN
ejpam-6025	172	14	regarding	regard	VERB
ejpam-6025	172	15	the	the	DET
ejpam-6025	172	16	value	value	NOUN
ejpam-6025	172	17	of	of	ADP
ejpam-6025	172	18	that	that	DET
ejpam-6025	172	19	asset	asset	NOUN
ejpam-6025	172	20	at	at	ADP
ejpam-6025	172	21	a	a	DET
ejpam-6025	172	22	future	future	ADJ
ejpam-6025	172	23	date	date	NOUN
ejpam-6025	172	24	.	.	PUNCT
ejpam-6025	173	1	variance	variance	NOUN
ejpam-6025	173	2	,	,	PUNCT
ejpam-6025	173	3	mean	mean	VERB
ejpam-6025	173	4	absolute	absolute	ADJ
ejpam-6025	173	5	deviation	deviation	NOUN
ejpam-6025	173	6	,	,	PUNCT
ejpam-6025	173	7	semi	semi	ADJ
ejpam-6025	173	8	-	-	NOUN
ejpam-6025	173	9	variance	variance	NOUN
ejpam-6025	173	10	,	,	PUNCT
ejpam-6025	173	11	var	var	NOUN
ejpam-6025	173	12	and	and	CCONJ
ejpam-6025	173	13	cvar	cvar	NOUN
ejpam-6025	173	14	are	be	AUX
ejpam-6025	173	15	ways	way	NOUN
ejpam-6025	173	16	of	of	ADP
ejpam-6025	173	17	measuring	measure	VERB
ejpam-6025	173	18	this	this	DET
ejpam-6025	173	19	risk	risk	NOUN
ejpam-6025	173	20	.	.	PUNCT
ejpam-6025	174	1	4.2.1	4.2.1	NOUN
ejpam-6025	174	2	.	.	PUNCT
ejpam-6025	174	3	variance	variance	NOUN
ejpam-6025	174	4	of	of	ADP
ejpam-6025	174	5	a	a	DET
ejpam-6025	174	6	portfolio	portfolio	NOUN
ejpam-6025	174	7	to	to	PART
ejpam-6025	174	8	compute	compute	VERB
ejpam-6025	174	9	the	the	DET
ejpam-6025	174	10	variance	variance	NOUN
ejpam-6025	174	11	of	of	ADP
ejpam-6025	174	12	a	a	DET
ejpam-6025	174	13	portfolio	portfolio	NOUN
ejpam-6025	174	14	,	,	PUNCT
ejpam-6025	174	15	we	we	PRON
ejpam-6025	174	16	need	need	VERB
ejpam-6025	174	17	to	to	PART
ejpam-6025	174	18	get	get	VERB
ejpam-6025	174	19	the	the	DET
ejpam-6025	174	20	variance	variance	NOUN
ejpam-6025	174	21	of	of	ADP
ejpam-6025	174	22	each	each	DET
ejpam-6025	174	23	asset	asset	NOUN
ejpam-6025	174	24	into	into	ADP
ejpam-6025	174	25	it	it	PRON
ejpam-6025	174	26	.	.	PUNCT
ejpam-6025	175	1	the	the	DET
ejpam-6025	175	2	variance	variance	NOUN
ejpam-6025	175	3	of	of	ADP
ejpam-6025	175	4	an	an	DET
ejpam-6025	175	5	individual	individual	ADJ
ejpam-6025	175	6	asset	asset	NOUN
ejpam-6025	175	7	measures	measure	VERB
ejpam-6025	175	8	the	the	DET
ejpam-6025	175	9	dispersion	dispersion	NOUN
ejpam-6025	175	10	of	of	ADP
ejpam-6025	175	11	its	its	PRON
ejpam-6025	175	12	returns	return	NOUN
ejpam-6025	175	13	relative	relative	ADJ
ejpam-6025	175	14	to	to	ADP
ejpam-6025	175	15	the	the	DET
ejpam-6025	175	16	average	average	NOUN
ejpam-6025	175	17	of	of	ADP
ejpam-6025	175	18	returns	return	NOUN
ejpam-6025	175	19	.	.	PUNCT
ejpam-6025	176	1	it	it	PRON
ejpam-6025	176	2	quantifies	quantify	VERB
ejpam-6025	176	3	the	the	DET
ejpam-6025	176	4	degree	degree	NOUN
ejpam-6025	176	5	to	to	PART
ejpam-6025	176	6	which	which	PRON
ejpam-6025	176	7	an	an	DET
ejpam-6025	176	8	asset	asset	NOUN
ejpam-6025	176	9	’s	’s	PART
ejpam-6025	176	10	returns	return	NOUN
ejpam-6025	176	11	vary	vary	VERB
ejpam-6025	176	12	over	over	ADP
ejpam-6025	176	13	time	time	NOUN
ejpam-6025	176	14	.	.	PUNCT
ejpam-6025	177	1	a	a	DET
ejpam-6025	177	2	high	high	ADJ
ejpam-6025	177	3	variance	variance	NOUN
ejpam-6025	177	4	indicates	indicate	VERB
ejpam-6025	177	5	that	that	SCONJ
ejpam-6025	177	6	returns	return	NOUN
ejpam-6025	177	7	are	be	AUX
ejpam-6025	177	8	widely	widely	ADV
ejpam-6025	177	9	dispersed	disperse	VERB
ejpam-6025	177	10	,	,	PUNCT
ejpam-6025	177	11	meaning	mean	VERB
ejpam-6025	177	12	the	the	DET
ejpam-6025	177	13	asset	asset	NOUN
ejpam-6025	177	14	is	be	AUX
ejpam-6025	177	15	riskier	risky	ADJ
ejpam-6025	177	16	,	,	PUNCT
ejpam-6025	177	17	while	while	SCONJ
ejpam-6025	177	18	a	a	DET
ejpam-6025	177	19	low	low	ADJ
ejpam-6025	177	20	variance	variance	NOUN
ejpam-6025	177	21	indicates	indicate	VERB
ejpam-6025	177	22	returns	return	NOUN
ejpam-6025	177	23	are	be	AUX
ejpam-6025	177	24	more	more	ADV
ejpam-6025	177	25	concentrated	concentrated	ADJ
ejpam-6025	177	26	around	around	ADP
ejpam-6025	177	27	the	the	DET
ejpam-6025	177	28	mean	mean	NOUN
ejpam-6025	177	29	,	,	PUNCT
ejpam-6025	177	30	suggesting	suggest	VERB
ejpam-6025	177	31	lower	low	ADJ
ejpam-6025	177	32	risk	risk	NOUN
ejpam-6025	177	33	.	.	PUNCT
ejpam-6025	178	1	mathematically	mathematically	ADV
ejpam-6025	178	2	,	,	PUNCT
ejpam-6025	178	3	the	the	DET
ejpam-6025	178	4	variance	variance	NOUN
ejpam-6025	178	5	(	(	PUNCT
ejpam-6025	178	6	σ2	σ2	NOUN
ejpam-6025	178	7	)	)	PUNCT
ejpam-6025	178	8	is	be	AUX
ejpam-6025	178	9	calculated	calculate	VERB
ejpam-6025	178	10	as	as	SCONJ
ejpam-6025	178	11	follows	follow	VERB
ejpam-6025	178	12	:	:	PUNCT
ejpam-6025	178	13	σ2	σ2	NOUN
ejpam-6025	178	14	=	=	SYM
ejpam-6025	178	15	1	1	NUM
ejpam-6025	178	16	n	n	NUM
ejpam-6025	178	17	n∑	n∑	NOUN
ejpam-6025	178	18	i=1	i=1	PROPN
ejpam-6025	178	19	(	(	PUNCT
ejpam-6025	178	20	ri	ri	PROPN
ejpam-6025	178	21	−	−	PROPN
ejpam-6025	178	22	r̄)2	r̄)2	PROPN
ejpam-6025	178	23	,	,	PUNCT
ejpam-6025	178	24	when	when	SCONJ
ejpam-6025	178	25	n	n	CCONJ
ejpam-6025	178	26	the	the	DET
ejpam-6025	178	27	number	number	NOUN
ejpam-6025	178	28	of	of	ADP
ejpam-6025	178	29	periods	period	NOUN
ejpam-6025	178	30	(	(	PUNCT
ejpam-6025	178	31	or	or	CCONJ
ejpam-6025	178	32	observations	observation	NOUN
ejpam-6025	178	33	)	)	PUNCT
ejpam-6025	178	34	,	,	PUNCT
ejpam-6025	178	35	ri	ri	PROPN
ejpam-6025	178	36	represents	represent	VERB
ejpam-6025	178	37	the	the	DET
ejpam-6025	178	38	return	return	NOUN
ejpam-6025	178	39	on	on	ADP
ejpam-6025	178	40	the	the	DET
ejpam-6025	178	41	asset	asset	NOUN
ejpam-6025	178	42	in	in	ADP
ejpam-6025	178	43	period	period	NOUN
ejpam-6025	178	44	i	i	PRON
ejpam-6025	178	45	,	,	PUNCT
ejpam-6025	178	46	and	and	CCONJ
ejpam-6025	178	47	r̄	r̄	NOUN
ejpam-6025	178	48	is	be	AUX
ejpam-6025	178	49	the	the	DET
ejpam-6025	178	50	average	average	NOUN
ejpam-6025	178	51	of	of	ADP
ejpam-6025	178	52	the	the	DET
ejpam-6025	178	53	asset	asset	NOUN
ejpam-6025	178	54	’s	’s	PART
ejpam-6025	178	55	returns	return	NOUN
ejpam-6025	178	56	,	,	PUNCT
ejpam-6025	178	57	calculated	calculate	VERB
ejpam-6025	178	58	,	,	PUNCT
ejpam-6025	178	59	as	as	ADP
ejpam-6025	178	60	r̄	r̄	NOUN
ejpam-6025	178	61	=	=	SYM
ejpam-6025	178	62	1	1	NUM
ejpam-6025	179	1	n	n	NUM
ejpam-6025	179	2	n∑	n∑	NOUN
ejpam-6025	179	3	i=1	i=1	PROPN
ejpam-6025	179	4	ri	ri	PROPN
ejpam-6025	179	5	.	.	PUNCT
ejpam-6025	180	1	this	this	DET
ejpam-6025	180	2	formula	formula	NOUN
ejpam-6025	180	3	measures	measure	VERB
ejpam-6025	180	4	the	the	DET
ejpam-6025	180	5	average	average	NOUN
ejpam-6025	180	6	of	of	ADP
ejpam-6025	180	7	the	the	DET
ejpam-6025	180	8	squares	square	NOUN
ejpam-6025	180	9	of	of	ADP
ejpam-6025	180	10	the	the	DET
ejpam-6025	180	11	differences	difference	NOUN
ejpam-6025	180	12	between	between	ADP
ejpam-6025	180	13	each	each	DET
ejpam-6025	180	14	return	return	NOUN
ejpam-6025	180	15	and	and	CCONJ
ejpam-6025	180	16	the	the	DET
ejpam-6025	180	17	average	average	NOUN
ejpam-6025	180	18	of	of	ADP
ejpam-6025	180	19	the	the	DET
ejpam-6025	180	20	returns	return	NOUN
ejpam-6025	180	21	.	.	PUNCT
ejpam-6025	181	1	the	the	DET
ejpam-6025	181	2	variance	variance	NOUN
ejpam-6025	181	3	of	of	ADP
ejpam-6025	181	4	a	a	DET
ejpam-6025	181	5	portfolio	portfolio	NOUN
ejpam-6025	181	6	of	of	ADP
ejpam-6025	181	7	financial	financial	ADJ
ejpam-6025	181	8	assets	asset	NOUN
ejpam-6025	181	9	takes	take	VERB
ejpam-6025	181	10	into	into	ADP
ejpam-6025	181	11	account	account	NOUN
ejpam-6025	181	12	not	not	PART
ejpam-6025	181	13	only	only	ADV
ejpam-6025	181	14	the	the	DET
ejpam-6025	181	15	variance	variance	NOUN
ejpam-6025	181	16	of	of	ADP
ejpam-6025	181	17	returns	return	NOUN
ejpam-6025	181	18	for	for	ADP
ejpam-6025	181	19	each	each	DET
ejpam-6025	181	20	asset	asset	NOUN
ejpam-6025	181	21	,	,	PUNCT
ejpam-6025	181	22	but	but	CCONJ
ejpam-6025	181	23	also	also	ADV
ejpam-6025	181	24	the	the	DET
ejpam-6025	181	25	covariance	covariance	NOUN
ejpam-6025	181	26	between	between	ADP
ejpam-6025	181	27	assets	asset	NOUN
ejpam-6025	181	28	.	.	PUNCT
ejpam-6025	182	1	the	the	DET
ejpam-6025	182	2	formula	formula	NOUN
ejpam-6025	182	3	for	for	ADP
ejpam-6025	182	4	the	the	DET
ejpam-6025	182	5	variance	variance	NOUN
ejpam-6025	182	6	of	of	ADP
ejpam-6025	182	7	a	a	DET
ejpam-6025	182	8	portfolio	portfolio	NOUN
ejpam-6025	182	9	composed	compose	VERB
ejpam-6025	182	10	of	of	ADP
ejpam-6025	182	11	n	n	PRON
ejpam-6025	182	12	assets	asset	NOUN
ejpam-6025	182	13	is	be	AUX
ejpam-6025	182	14	given	give	VERB
ejpam-6025	182	15	by	by	ADP
ejpam-6025	182	16	:	:	PUNCT
ejpam-6025	182	17	σ2	σ2	PROPN
ejpam-6025	182	18	p	p	PROPN
ejpam-6025	182	19	=	=	PROPN
ejpam-6025	182	20	n∑	n∑	PROPN
ejpam-6025	182	21	i=1	i=1	PROPN
ejpam-6025	182	22	w2	w2	NOUN
ejpam-6025	182	23	i	i	PROPN
ejpam-6025	182	24	σ	σ	PROPN
ejpam-6025	182	25	2	2	NUM
ejpam-6025	183	1	i	i	NOUN
ejpam-6025	183	2	+	+	CCONJ
ejpam-6025	184	1	n∑	n∑	ADJ
ejpam-6025	184	2	i=1	i=1	PROPN
ejpam-6025	185	1	∑	∑	PUNCT
ejpam-6025	185	2	j	j	PROPN
ejpam-6025	186	1	̸=i	̸=i	PROPN
ejpam-6025	186	2	wiwjσij	wiwjσij	PROPN
ejpam-6025	186	3	,	,	PUNCT
ejpam-6025	186	4	where	where	SCONJ
ejpam-6025	186	5	wi	wi	PROPN
ejpam-6025	186	6	is	be	AUX
ejpam-6025	186	7	the	the	DET
ejpam-6025	186	8	proportion	proportion	NOUN
ejpam-6025	186	9	of	of	ADP
ejpam-6025	186	10	the	the	DET
ejpam-6025	186	11	asset	asset	NOUN
ejpam-6025	186	12	i	i	PRON
ejpam-6025	186	13	in	in	ADP
ejpam-6025	186	14	the	the	DET
ejpam-6025	186	15	portfolio	portfolio	NOUN
ejpam-6025	186	16	.	.	PUNCT
ejpam-6025	187	1	,	,	PUNCT
ejpam-6025	187	2	σ2	σ2	PROPN
ejpam-6025	187	3	i	i	PRON
ejpam-6025	187	4	is	be	AUX
ejpam-6025	187	5	the	the	DET
ejpam-6025	187	6	variance	variance	NOUN
ejpam-6025	187	7	of	of	ADP
ejpam-6025	187	8	the	the	DET
ejpam-6025	187	9	asset	asset	NOUN
ejpam-6025	187	10	i	i	PRON
ejpam-6025	187	11	,	,	PUNCT
ejpam-6025	187	12	and	and	CCONJ
ejpam-6025	187	13	σij	σij	NOUN
ejpam-6025	187	14	is	be	AUX
ejpam-6025	187	15	the	the	DET
ejpam-6025	187	16	covariance	covariance	NOUN
ejpam-6025	187	17	between	between	ADP
ejpam-6025	187	18	assets	asset	NOUN
ejpam-6025	187	19	i	i	PRON
ejpam-6025	187	20	and	and	CCONJ
ejpam-6025	187	21	j.	j.	PROPN
ejpam-6025	187	22	the	the	DET
ejpam-6025	187	23	first	first	ADJ
ejpam-6025	187	24	sum	sum	NOUN
ejpam-6025	187	25	represents	represent	VERB
ejpam-6025	187	26	the	the	DET
ejpam-6025	187	27	variance	variance	NOUN
ejpam-6025	187	28	contribution	contribution	NOUN
ejpam-6025	187	29	of	of	ADP
ejpam-6025	187	30	individual	individual	ADJ
ejpam-6025	187	31	assets	asset	NOUN
ejpam-6025	187	32	,	,	PUNCT
ejpam-6025	187	33	while	while	SCONJ
ejpam-6025	187	34	the	the	DET
ejpam-6025	187	35	second	second	ADJ
ejpam-6025	187	36	sum	sum	NOUN
ejpam-6025	187	37	represents	represent	VERB
ejpam-6025	187	38	the	the	DET
ejpam-6025	187	39	effect	effect	NOUN
ejpam-6025	187	40	of	of	ADP
ejpam-6025	187	41	covariance	covariance	NOUN
ejpam-6025	187	42	between	between	ADP
ejpam-6025	187	43	assets	asset	NOUN
ejpam-6025	187	44	,	,	PUNCT
ejpam-6025	187	45	which	which	PRON
ejpam-6025	187	46	can	can	AUX
ejpam-6025	187	47	reduce	reduce	VERB
ejpam-6025	187	48	the	the	DET
ejpam-6025	187	49	overall	overall	ADJ
ejpam-6025	187	50	portfolio	portfolio	NOUN
ejpam-6025	187	51	risk	risk	NOUN
ejpam-6025	187	52	.	.	PUNCT
ejpam-6025	188	1	in	in	ADP
ejpam-6025	188	2	summary	summary	NOUN
ejpam-6025	188	3	,	,	PUNCT
ejpam-6025	188	4	diversification	diversification	NOUN
ejpam-6025	188	5	across	across	ADP
ejpam-6025	188	6	assets	asset	NOUN
ejpam-6025	188	7	can	can	AUX
ejpam-6025	188	8	decrease	decrease	VERB
ejpam-6025	188	9	total	total	ADJ
ejpam-6025	188	10	portfolio	portfolio	NOUN
ejpam-6025	188	11	variance	variance	NOUN
ejpam-6025	188	12	.	.	PUNCT
ejpam-6025	189	1	ch	ch	NOUN
ejpam-6025	189	2	.	.	PUNCT
ejpam-6025	190	1	ahmed	ahmed	PROPN
ejpam-6025	190	2	baba	baba	PROPN
ejpam-6025	190	3	,	,	PUNCT
ejpam-6025	190	4	a.	a.	PROPN
ejpam-6025	190	5	ka	ka	PROPN
ejpam-6025	190	6	dionque	dionque	PROPN
ejpam-6025	190	7	/	/	SYM
ejpam-6025	190	8	eur	eur	PROPN
ejpam-6025	190	9	.	.	PUNCT
ejpam-6025	191	1	j.	j.	PROPN
ejpam-6025	191	2	pure	pure	PROPN
ejpam-6025	191	3	appl	appl	PROPN
ejpam-6025	191	4	.	.	PROPN
ejpam-6025	191	5	math	math	PROPN
ejpam-6025	191	6	,	,	PUNCT
ejpam-6025	191	7	18	18	NUM
ejpam-6025	191	8	(	(	PUNCT
ejpam-6025	191	9	3	3	NUM
ejpam-6025	191	10	)	)	PUNCT
ejpam-6025	191	11	(	(	PUNCT
ejpam-6025	191	12	2025	2025	NUM
ejpam-6025	191	13	)	)	PUNCT
ejpam-6025	191	14	,	,	PUNCT
ejpam-6025	191	15	6025	6025	NUM
ejpam-6025	191	16	11	11	NUM
ejpam-6025	191	17	of	of	ADP
ejpam-6025	191	18	19	19	NUM
ejpam-6025	191	19	4.2.2	4.2.2	NUM
ejpam-6025	191	20	.	.	PUNCT
ejpam-6025	192	1	var	var	NOUN
ejpam-6025	192	2	of	of	ADP
ejpam-6025	192	3	a	a	DET
ejpam-6025	192	4	portfolio	portfolio	NOUN
ejpam-6025	192	5	value	value	NOUN
ejpam-6025	192	6	at	at	ADP
ejpam-6025	192	7	risk	risk	NOUN
ejpam-6025	192	8	(	(	PUNCT
ejpam-6025	192	9	var	var	NOUN
ejpam-6025	192	10	)	)	PUNCT
ejpam-6025	192	11	is	be	AUX
ejpam-6025	192	12	defined	define	VERB
ejpam-6025	192	13	as	as	ADP
ejpam-6025	192	14	the	the	DET
ejpam-6025	192	15	maximum	maximum	ADJ
ejpam-6025	192	16	potential	potential	ADJ
ejpam-6025	192	17	loss	loss	NOUN
ejpam-6025	192	18	in	in	ADP
ejpam-6025	192	19	the	the	DET
ejpam-6025	192	20	portfolio	portfolio	NOUN
ejpam-6025	192	21	value	value	NOUN
ejpam-6025	192	22	of	of	ADP
ejpam-6025	192	23	financial	financial	ADJ
ejpam-6025	192	24	instruments	instrument	NOUN
ejpam-6025	192	25	with	with	ADP
ejpam-6025	192	26	a	a	DET
ejpam-6025	192	27	given	give	VERB
ejpam-6025	192	28	probability	probability	NOUN
ejpam-6025	192	29	over	over	ADP
ejpam-6025	192	30	a	a	DET
ejpam-6025	192	31	certain	certain	ADJ
ejpam-6025	192	32	horizon	horizon	NOUN
ejpam-6025	192	33	.	.	PUNCT
ejpam-6025	193	1	simply	simply	ADV
ejpam-6025	193	2	,	,	PUNCT
ejpam-6025	193	3	it	it	PRON
ejpam-6025	193	4	indicates	indicate	VERB
ejpam-6025	193	5	how	how	SCONJ
ejpam-6025	193	6	much	much	ADJ
ejpam-6025	193	7	a	a	DET
ejpam-6025	193	8	financial	financial	ADJ
ejpam-6025	193	9	institution	institution	NOUN
ejpam-6025	193	10	can	can	AUX
ejpam-6025	193	11	lose	lose	VERB
ejpam-6025	193	12	with	with	ADP
ejpam-6025	193	13	a	a	DET
ejpam-6025	193	14	certain	certain	ADJ
ejpam-6025	193	15	probability	probability	NOUN
ejpam-6025	193	16	over	over	ADP
ejpam-6025	193	17	a	a	DET
ejpam-6025	193	18	given	give	VERB
ejpam-6025	193	19	period	period	NOUN
ejpam-6025	193	20	[	[	X
ejpam-6025	193	21	19	19	NUM
ejpam-6025	193	22	]	]	PUNCT
ejpam-6025	193	23	.	.	PUNCT
ejpam-6025	194	1	the	the	DET
ejpam-6025	194	2	var	var	NOUN
ejpam-6025	194	3	of	of	ADP
ejpam-6025	194	4	assets	asset	NOUN
ejpam-6025	194	5	,	,	PUNCT
ejpam-6025	194	6	for	for	ADP
ejpam-6025	194	7	a	a	DET
ejpam-6025	194	8	period	period	NOUN
ejpam-6025	194	9	t	t	NOUN
ejpam-6025	194	10	and	and	CCONJ
ejpam-6025	194	11	a	a	DET
ejpam-6025	194	12	probability	probability	NOUN
ejpam-6025	194	13	level	level	NOUN
ejpam-6025	194	14	q	q	NOUN
ejpam-6025	194	15	,	,	PUNCT
ejpam-6025	194	16	is	be	AUX
ejpam-6025	194	17	defined	define	VERB
ejpam-6025	194	18	as	as	ADP
ejpam-6025	194	19	the	the	DET
ejpam-6025	194	20	expected	expect	VERB
ejpam-6025	194	21	loss	loss	NOUN
ejpam-6025	194	22	amount	amount	NOUN
ejpam-6025	194	23	such	such	ADJ
ejpam-6025	194	24	that	that	SCONJ
ejpam-6025	194	25	this	this	DET
ejpam-6025	194	26	amount	amount	NOUN
ejpam-6025	194	27	over	over	ADP
ejpam-6025	194	28	the	the	DET
ejpam-6025	194	29	period	period	NOUN
ejpam-6025	194	30	[	[	X
ejpam-6025	194	31	t−1	t−1	NOUN
ejpam-6025	194	32	;	;	PUNCT
ejpam-6025	194	33	t	t	PROPN
ejpam-6025	194	34	]	]	PUNCT
ejpam-6025	194	35	should	should	AUX
ejpam-6025	194	36	not	not	PART
ejpam-6025	194	37	be	be	AUX
ejpam-6025	194	38	greater	great	ADJ
ejpam-6025	194	39	than	than	ADP
ejpam-6025	194	40	the	the	DET
ejpam-6025	194	41	var	var	NOUN
ejpam-6025	194	42	with	with	ADP
ejpam-6025	194	43	probability	probability	NOUN
ejpam-6025	194	44	q.	q.	NOUN
ejpam-6025	194	45	p	p	PROPN
ejpam-6025	195	1	[	[	X
ejpam-6025	195	2	pt	pt	INTJ
ejpam-6025	195	3	,	,	PUNCT
ejpam-6025	195	4	t−1	t−1	PROPN
ejpam-6025	195	5	≤	≤	ADJ
ejpam-6025	195	6	var(t	var(t	NOUN
ejpam-6025	195	7	,	,	PUNCT
ejpam-6025	195	8	q	q	NOUN
ejpam-6025	195	9	)	)	PUNCT
ejpam-6025	195	10	]	]	PUNCT
ejpam-6025	196	1	=	=	PUNCT
ejpam-6025	196	2	q	q	X
ejpam-6025	196	3	,	,	PUNCT
ejpam-6025	196	4	where	where	SCONJ
ejpam-6025	196	5	•	•	NOUN
ejpam-6025	196	6	pt	pt	NOUN
ejpam-6025	196	7	,	,	PUNCT
ejpam-6025	196	8	t−1	t−1	NOUN
ejpam-6025	196	9	=	=	SYM
ejpam-6025	196	10	pt−pt−1	pt−pt−1	ADJ
ejpam-6025	196	11	:	:	PUNCT
ejpam-6025	196	12	represents	represent	VERB
ejpam-6025	196	13	the	the	DET
ejpam-6025	196	14	loss	loss	NOUN
ejpam-6025	196	15	(	(	PUNCT
ejpam-6025	196	16	“	"	PUNCT
ejpam-6025	196	17	loss	loss	NOUN
ejpam-6025	196	18	”	"	PUNCT
ejpam-6025	196	19	)	)	PUNCT
ejpam-6025	196	20	and	and	CCONJ
ejpam-6025	196	21	is	be	AUX
ejpam-6025	196	22	a	a	DET
ejpam-6025	196	23	positive	positive	ADJ
ejpam-6025	196	24	or	or	CCONJ
ejpam-6025	196	25	negative	negative	ADJ
ejpam-6025	196	26	random	random	ADJ
ejpam-6025	196	27	variable	variable	NOUN
ejpam-6025	196	28	;	;	PUNCT
ejpam-6025	196	29	•	•	NUM
ejpam-6025	196	30	t	t	PROPN
ejpam-6025	196	31	:	:	PUNCT
ejpam-6025	196	32	is	be	AUX
ejpam-6025	196	33	the	the	DET
ejpam-6025	196	34	horizon	horizon	NOUN
ejpam-6025	196	35	associated	associate	VERB
ejpam-6025	196	36	with	with	ADP
ejpam-6025	196	37	the	the	DET
ejpam-6025	196	38	var	var	NOUN
ejpam-6025	196	39	;	;	PUNCT
ejpam-6025	196	40	•	•	NOUN
ejpam-6025	196	41	q	q	NOUN
ejpam-6025	196	42	:	:	PUNCT
ejpam-6025	196	43	is	be	AUX
ejpam-6025	196	44	the	the	DET
ejpam-6025	196	45	probability	probability	NOUN
ejpam-6025	196	46	level	level	NOUN
ejpam-6025	196	47	,	,	PUNCT
ejpam-6025	196	48	typically	typically	ADV
ejpam-6025	196	49	95	95	NUM
ejpam-6025	196	50	var	var	NOUN
ejpam-6025	196	51	depends	depend	VERB
ejpam-6025	196	52	on	on	ADP
ejpam-6025	196	53	three	three	NUM
ejpam-6025	196	54	elements	element	NOUN
ejpam-6025	196	55	:	:	PUNCT
ejpam-6025	196	56	•	•	ADP
ejpam-6025	196	57	the	the	DET
ejpam-6025	196	58	distribution	distribution	NOUN
ejpam-6025	196	59	of	of	ADP
ejpam-6025	196	60	profits	profit	NOUN
ejpam-6025	196	61	and	and	CCONJ
ejpam-6025	196	62	losses	loss	NOUN
ejpam-6025	196	63	of	of	ADP
ejpam-6025	196	64	the	the	DET
ejpam-6025	196	65	portfolio	portfolio	NOUN
ejpam-6025	196	66	valid	valid	NOUN
ejpam-6025	196	67	for	for	ADP
ejpam-6025	196	68	the	the	DET
ejpam-6025	196	69	holding	hold	VERB
ejpam-6025	196	70	period	period	NOUN
ejpam-6025	196	71	.	.	PUNCT
ejpam-6025	197	1	•	•	NOUN
ejpam-6025	197	2	the	the	DET
ejpam-6025	197	3	confidence	confidence	NOUN
ejpam-6025	197	4	level	level	NOUN
ejpam-6025	197	5	;	;	PUNCT
ejpam-6025	197	6	•	•	NUM
ejpam-6025	197	7	the	the	DET
ejpam-6025	197	8	holding	hold	VERB
ejpam-6025	197	9	period	period	NOUN
ejpam-6025	197	10	of	of	ADP
ejpam-6025	197	11	the	the	DET
ejpam-6025	197	12	assets	asset	NOUN
ejpam-6025	197	13	.	.	PUNCT
ejpam-6025	198	1	if	if	SCONJ
ejpam-6025	198	2	the	the	DET
ejpam-6025	198	3	distribution	distribution	NOUN
ejpam-6025	198	4	of	of	ADP
ejpam-6025	198	5	assets	asset	NOUN
ejpam-6025	198	6	follows	follow	VERB
ejpam-6025	198	7	a	a	DET
ejpam-6025	198	8	normal	normal	ADJ
ejpam-6025	198	9	distribution	distribution	NOUN
ejpam-6025	198	10	,	,	PUNCT
ejpam-6025	198	11	the	the	DET
ejpam-6025	198	12	var	var	NOUN
ejpam-6025	198	13	is	be	AUX
ejpam-6025	198	14	given	give	VERB
ejpam-6025	198	15	by	by	ADP
ejpam-6025	198	16	result	result	NOUN
ejpam-6025	198	17	:	:	PUNCT
ejpam-6025	198	18	p	p	X
ejpam-6025	199	1	[	[	X
ejpam-6025	199	2	pt,0	pt,0	PROPN
ejpam-6025	199	3	≤	≤	ADJ
ejpam-6025	199	4	var(t	var(t	NOUN
ejpam-6025	199	5	,	,	PUNCT
ejpam-6025	199	6	α	α	NOUN
ejpam-6025	199	7	)	)	PUNCT
ejpam-6025	199	8	]	]	PUNCT
ejpam-6025	200	1	=	=	PUNCT
ejpam-6025	200	2	α	α	X
ejpam-6025	200	3	=	=	NOUN
ejpam-6025	200	4	⇒	⇒	NOUN
ejpam-6025	200	5	p	p	NOUN
ejpam-6025	200	6	(	(	PUNCT
ejpam-6025	200	7	pt,0	pt,0	PROPN
ejpam-6025	200	8	−	−	PROPN
ejpam-6025	200	9	e(pt,0	e(pt,0	PROPN
ejpam-6025	200	10	)	)	PUNCT
ejpam-6025	200	11	σ(pt,0	σ(pt,0	PROPN
ejpam-6025	200	12	)	)	PUNCT
ejpam-6025	200	13	≤	≤	NUM
ejpam-6025	200	14	var(t	var(t	NOUN
ejpam-6025	200	15	,	,	PUNCT
ejpam-6025	200	16	α)−	α)−	PROPN
ejpam-6025	200	17	e(pt,0	e(pt,0	NOUN
ejpam-6025	200	18	)	)	PUNCT
ejpam-6025	200	19	σ(pt,0	σ(pt,0	PROPN
ejpam-6025	200	20	)	)	PUNCT
ejpam-6025	200	21	)	)	PUNCT
ejpam-6025	201	1	=	=	PUNCT
ejpam-6025	201	2	α	α	X
ejpam-6025	201	3	=	=	NOUN
ejpam-6025	201	4	⇒	⇒	NOUN
ejpam-6025	201	5	var(t	var(t	NOUN
ejpam-6025	201	6	,	,	PUNCT
ejpam-6025	201	7	α)−	α)−	PROPN
ejpam-6025	201	8	e(pt,0	e(pt,0	NOUN
ejpam-6025	201	9	)	)	PUNCT
ejpam-6025	201	10	σ(pt,0	σ(pt,0	PROPN
ejpam-6025	201	11	)	)	PUNCT
ejpam-6025	202	1	=	=	PUNCT
ejpam-6025	202	2	zα	zα	NOUN
ejpam-6025	202	3	=	=	AUX
ejpam-6025	202	4	⇒	⇒	VERB
ejpam-6025	202	5	var(t	var(t	PROPN
ejpam-6025	202	6	,	,	PUNCT
ejpam-6025	202	7	α	α	NOUN
ejpam-6025	202	8	)	)	PUNCT
ejpam-6025	202	9	=	=	SYM
ejpam-6025	202	10	e(pt,0	e(pt,0	PROPN
ejpam-6025	202	11	)	)	PUNCT
ejpam-6025	202	12	+	+	CCONJ
ejpam-6025	202	13	σ(pt,0	σ(pt,0	NOUN
ejpam-6025	202	14	)	)	PUNCT
ejpam-6025	202	15	·	·	PUNCT
ejpam-6025	202	16	zα	zα	PROPN
ejpam-6025	202	17	for	for	ADP
ejpam-6025	202	18	a	a	DET
ejpam-6025	202	19	portfolio	portfolio	NOUN
ejpam-6025	202	20	of	of	ADP
ejpam-6025	202	21	n	n	NOUN
ejpam-6025	202	22	assets	asset	NOUN
ejpam-6025	202	23	with	with	ADP
ejpam-6025	202	24	weights	weight	NOUN
ejpam-6025	202	25	w1	w1	NOUN
ejpam-6025	202	26	,	,	PUNCT
ejpam-6025	202	27	.	.	PUNCT
ejpam-6025	202	28	.	.	PUNCT
ejpam-6025	203	1	.	.	PUNCT
ejpam-6025	204	1	,	,	PUNCT
ejpam-6025	204	2	wk	wk	INTJ
ejpam-6025	204	3	,	,	PUNCT
ejpam-6025	204	4	if	if	SCONJ
ejpam-6025	204	5	we	we	PRON
ejpam-6025	204	6	assume	assume	VERB
ejpam-6025	204	7	that	that	SCONJ
ejpam-6025	204	8	the	the	DET
ejpam-6025	204	9	value	value	NOUN
ejpam-6025	204	10	of	of	ADP
ejpam-6025	204	11	this	this	DET
ejpam-6025	204	12	portfolio	portfolio	NOUN
ejpam-6025	204	13	v	v	NOUN
ejpam-6025	204	14	follows	follow	VERB
ejpam-6025	204	15	a	a	DET
ejpam-6025	204	16	multivariate	multivariate	NOUN
ejpam-6025	204	17	normal	normal	ADJ
ejpam-6025	204	18	distribution	distribution	NOUN
ejpam-6025	204	19	,	,	PUNCT
ejpam-6025	204	20	then	then	ADV
ejpam-6025	204	21	the	the	DET
ejpam-6025	204	22	value	value	NOUN
ejpam-6025	204	23	at	at	ADP
ejpam-6025	204	24	risk	risk	NOUN
ejpam-6025	204	25	(	(	PUNCT
ejpam-6025	204	26	var	var	NOUN
ejpam-6025	204	27	)	)	PUNCT
ejpam-6025	204	28	of	of	ADP
ejpam-6025	204	29	the	the	DET
ejpam-6025	204	30	portfolio	portfolio	NOUN
ejpam-6025	204	31	is	be	AUX
ejpam-6025	204	32	given	give	VERB
ejpam-6025	204	33	by	by	ADP
ejpam-6025	204	34	:	:	PUNCT
ejpam-6025	204	35	var(t	var(t	PROPN
ejpam-6025	204	36	,	,	PUNCT
ejpam-6025	204	37	α	α	NOUN
ejpam-6025	204	38	)	)	PUNCT
ejpam-6025	204	39	=	=	NOUN
ejpam-6025	204	40	−nµt	−nµt	NOUN
ejpam-6025	205	1	+	+	CCONJ
ejpam-6025	205	2	zα	zα	PROPN
ejpam-6025	205	3	·	·	PUNCT
ejpam-6025	205	4	√	√	NUM
ejpam-6025	205	5	ntωtς	ntωtς	NOUN
ejpam-6025	205	6	where	where	SCONJ
ejpam-6025	205	7	:	:	PUNCT
ejpam-6025	205	8	µt	µt	X
ejpam-6025	205	9	=	=	ADJ
ejpam-6025	205	10	e(∆v	e(∆v	NOUN
ejpam-6025	205	11	)	)	PUNCT
ejpam-6025	205	12	,	,	PUNCT
ejpam-6025	205	13	ωt	ωt	X
ejpam-6025	205	14	=	=	PUNCT
ejpam-6025	205	15	σt(∆v	σt(∆v	NOUN
ejpam-6025	205	16	)	)	PUNCT
ejpam-6025	205	17	,	,	PUNCT
ejpam-6025	205	18	n	n	NOUN
ejpam-6025	205	19	=	=	SYM
ejpam-6025	205	20	(	(	PUNCT
ejpam-6025	205	21	w1	w1	NOUN
ejpam-6025	205	22	,	,	PUNCT
ejpam-6025	205	23	.	.	PUNCT
ejpam-6025	205	24	.	.	PUNCT
ejpam-6025	206	1	.	.	PUNCT
ejpam-6025	207	1	,	,	PUNCT
ejpam-6025	207	2	wk	wk	PROPN
ejpam-6025	207	3	)	)	PUNCT
ejpam-6025	207	4	,	,	PUNCT
ejpam-6025	207	5	zα	zα	PROPN
ejpam-6025	207	6	is	be	AUX
ejpam-6025	207	7	the	the	DET
ejpam-6025	207	8	α	α	NOUN
ejpam-6025	207	9	-	-	NOUN
ejpam-6025	207	10	quantile	quantile	NOUN
ejpam-6025	207	11	.	.	PUNCT
ejpam-6025	208	1	the	the	DET
ejpam-6025	208	2	first	first	ADJ
ejpam-6025	208	3	step	step	NOUN
ejpam-6025	208	4	in	in	ADP
ejpam-6025	208	5	the	the	DET
ejpam-6025	208	6	optimization	optimization	NOUN
ejpam-6025	208	7	process	process	NOUN
ejpam-6025	208	8	is	be	AUX
ejpam-6025	208	9	to	to	PART
ejpam-6025	208	10	calculate	calculate	VERB
ejpam-6025	208	11	the	the	DET
ejpam-6025	208	12	expected	expect	VERB
ejpam-6025	208	13	return	return	NOUN
ejpam-6025	208	14	of	of	ADP
ejpam-6025	208	15	each	each	DET
ejpam-6025	208	16	asset	asset	NOUN
ejpam-6025	208	17	and	and	CCONJ
ejpam-6025	208	18	its	its	PRON
ejpam-6025	208	19	var	var	NOUN
ejpam-6025	208	20	,	,	PUNCT
ejpam-6025	208	21	storing	store	VERB
ejpam-6025	208	22	the	the	DET
ejpam-6025	208	23	results	result	NOUN
ejpam-6025	208	24	in	in	ADP
ejpam-6025	208	25	a	a	DET
ejpam-6025	208	26	matrix	matrix	NOUN
ejpam-6025	208	27	called	call	VERB
ejpam-6025	208	28	mat	mat	NOUN
ejpam-6025	208	29	.	.	PUNCT
ejpam-6025	209	1	we	we	PRON
ejpam-6025	209	2	have	have	AUX
ejpam-6025	209	3	developed	develop	VERB
ejpam-6025	209	4	an	an	DET
ejpam-6025	209	5	algorithm	algorithm	NOUN
ejpam-6025	209	6	that	that	PRON
ejpam-6025	209	7	selects	select	VERB
ejpam-6025	209	8	the	the	DET
ejpam-6025	209	9	best	well	ADV
ejpam-6025	209	10	-	-	PUNCT
ejpam-6025	209	11	performing	perform	VERB
ejpam-6025	209	12	assets	asset	NOUN
ejpam-6025	209	13	in	in	ADP
ejpam-6025	209	14	terms	term	NOUN
ejpam-6025	209	15	of	of	ADP
ejpam-6025	209	16	score	score	NOUN
ejpam-6025	209	17	(	(	PUNCT
ejpam-6025	209	18	i.e.	i.e.	X
ejpam-6025	209	19	,	,	PUNCT
ejpam-6025	209	20	the	the	DET
ejpam-6025	209	21	highest	high	ADJ
ejpam-6025	209	22	expected	expect	VERB
ejpam-6025	209	23	return	return	NOUN
ejpam-6025	209	24	and	and	CCONJ
ejpam-6025	209	25	the	the	DET
ejpam-6025	209	26	lowest	low	ADJ
ejpam-6025	209	27	var	var	NOUN
ejpam-6025	209	28	)	)	PUNCT
ejpam-6025	209	29	.	.	PUNCT
ejpam-6025	210	1	considering	consider	VERB
ejpam-6025	210	2	the	the	DET
ejpam-6025	210	3	sub	sub	NOUN
ejpam-6025	210	4	-	-	NOUN
ejpam-6025	210	5	portfolio	portfolio	NOUN
ejpam-6025	210	6	extracted	extract	VERB
ejpam-6025	210	7	from	from	ADP
ejpam-6025	210	8	the	the	DET
ejpam-6025	210	9	full	full	ADJ
ejpam-6025	210	10	asset	asset	NOUN
ejpam-6025	210	11	set	set	NOUN
ejpam-6025	210	12	,	,	PUNCT
ejpam-6025	210	13	we	we	PRON
ejpam-6025	210	14	then	then	ADV
ejpam-6025	210	15	proceed	proceed	VERB
ejpam-6025	210	16	to	to	PART
ejpam-6025	210	17	apply	apply	VERB
ejpam-6025	210	18	an	an	DET
ejpam-6025	210	19	optimization	optimization	NOUN
ejpam-6025	210	20	algorithm	algorithm	NOUN
ejpam-6025	210	21	based	base	VERB
ejpam-6025	210	22	on	on	ADP
ejpam-6025	210	23	genetic	genetic	ADJ
ejpam-6025	210	24	algorithms	algorithm	NOUN
ejpam-6025	210	25	(	(	PUNCT
ejpam-6025	210	26	ga	ga	NOUN
ejpam-6025	210	27	)	)	PUNCT
ejpam-6025	210	28	,	,	PUNCT
ejpam-6025	210	29	which	which	PRON
ejpam-6025	210	30	we	we	PRON
ejpam-6025	210	31	define	define	VERB
ejpam-6025	210	32	as	as	SCONJ
ejpam-6025	210	33	follows	follow	VERB
ejpam-6025	210	34	.	.	PUNCT
ejpam-6025	211	1	ch	ch	NOUN
ejpam-6025	211	2	.	.	PUNCT
ejpam-6025	211	3	ahmed	ahmed	PROPN
ejpam-6025	211	4	baba	baba	PROPN
ejpam-6025	211	5	,	,	PUNCT
ejpam-6025	211	6	a.	a.	PROPN
ejpam-6025	211	7	ka	ka	PROPN
ejpam-6025	211	8	dionque	dionque	PROPN
ejpam-6025	211	9	/	/	SYM
ejpam-6025	211	10	eur	eur	PROPN
ejpam-6025	211	11	.	.	PUNCT
ejpam-6025	212	1	j.	j.	PROPN
ejpam-6025	212	2	pure	pure	PROPN
ejpam-6025	212	3	appl	appl	PROPN
ejpam-6025	212	4	.	.	PROPN
ejpam-6025	212	5	math	math	PROPN
ejpam-6025	212	6	,	,	PUNCT
ejpam-6025	212	7	18	18	NUM
ejpam-6025	212	8	(	(	PUNCT
ejpam-6025	212	9	3	3	NUM
ejpam-6025	212	10	)	)	PUNCT
ejpam-6025	212	11	(	(	PUNCT
ejpam-6025	212	12	2025	2025	NUM
ejpam-6025	212	13	)	)	PUNCT
ejpam-6025	212	14	,	,	PUNCT
ejpam-6025	212	15	6025	6025	NUM
ejpam-6025	212	16	12	12	NUM
ejpam-6025	212	17	of	of	ADP
ejpam-6025	212	18	19	19	NUM
ejpam-6025	212	19	4.3	4.3	NUM
ejpam-6025	212	20	.	.	PUNCT
ejpam-6025	213	1	heuristic	heuristic	ADJ
ejpam-6025	213	2	optimization	optimization	NOUN
ejpam-6025	213	3	algorithms	algorithm	NOUN
ejpam-6025	213	4	4.3.1	4.3.1	NUM
ejpam-6025	213	5	.	.	PUNCT
ejpam-6025	214	1	genetic	genetic	ADJ
ejpam-6025	214	2	algorithms	algorithm	NOUN
ejpam-6025	214	3	(	(	PUNCT
ejpam-6025	214	4	ga	ga	NOUN
ejpam-6025	214	5	)	)	PUNCT
ejpam-6025	214	6	genetic	genetic	ADJ
ejpam-6025	214	7	algorithms[20	algorithms[20	PROPN
ejpam-6025	214	8	]	]	PUNCT
ejpam-6025	214	9	are	be	AUX
ejpam-6025	214	10	optimization	optimization	NOUN
ejpam-6025	214	11	methods	method	NOUN
ejpam-6025	214	12	developed	develop	VERB
ejpam-6025	214	13	by	by	ADP
ejpam-6025	214	14	holland	holland	PROPN
ejpam-6025	214	15	,	,	PUNCT
ejpam-6025	214	16	based	base	VERB
ejpam-6025	214	17	on	on	ADP
ejpam-6025	214	18	the	the	DET
ejpam-6025	214	19	principles	principle	NOUN
ejpam-6025	214	20	of	of	ADP
ejpam-6025	214	21	biological	biological	ADJ
ejpam-6025	214	22	evolution	evolution	NOUN
ejpam-6025	214	23	.	.	PUNCT
ejpam-6025	215	1	they	they	PRON
ejpam-6025	215	2	operate	operate	VERB
ejpam-6025	215	3	on	on	ADP
ejpam-6025	215	4	a	a	DET
ejpam-6025	215	5	population	population	NOUN
ejpam-6025	215	6	of	of	ADP
ejpam-6025	215	7	fixed	fix	VERB
ejpam-6025	215	8	size	size	NOUN
ejpam-6025	215	9	,	,	PUNCT
ejpam-6025	215	10	consisting	consist	VERB
ejpam-6025	215	11	of	of	ADP
ejpam-6025	215	12	candidate	candidate	NOUN
ejpam-6025	215	13	solutions	solution	NOUN
ejpam-6025	215	14	called	call	VERB
ejpam-6025	215	15	chromosomes	chromosome	NOUN
ejpam-6025	215	16	.	.	PUNCT
ejpam-6025	216	1	each	each	DET
ejpam-6025	216	2	chromosome	chromosome	NOUN
ejpam-6025	216	3	is	be	AUX
ejpam-6025	216	4	composed	compose	VERB
ejpam-6025	216	5	of	of	ADP
ejpam-6025	216	6	elements	element	NOUN
ejpam-6025	216	7	called	call	VERB
ejpam-6025	216	8	genes	gene	NOUN
ejpam-6025	216	9	,	,	PUNCT
ejpam-6025	216	10	which	which	PRON
ejpam-6025	216	11	encode	encode	VERB
ejpam-6025	216	12	a	a	DET
ejpam-6025	216	13	potential	potential	ADJ
ejpam-6025	216	14	solution	solution	NOUN
ejpam-6025	216	15	to	to	ADP
ejpam-6025	216	16	the	the	DET
ejpam-6025	216	17	problem	problem	NOUN
ejpam-6025	216	18	at	at	ADP
ejpam-6025	216	19	hand	hand	NOUN
ejpam-6025	216	20	.	.	PUNCT
ejpam-6025	217	1	genetic	genetic	ADJ
ejpam-6025	217	2	algorithms	algorithm	NOUN
ejpam-6025	217	3	are	be	AUX
ejpam-6025	217	4	iterative	iterative	ADJ
ejpam-6025	217	5	search	search	NOUN
ejpam-6025	217	6	procedures	procedure	NOUN
ejpam-6025	217	7	for	for	ADP
ejpam-6025	217	8	finding	find	VERB
ejpam-6025	217	9	optimal	optimal	ADJ
ejpam-6025	217	10	solutions	solution	NOUN
ejpam-6025	217	11	.	.	PUNCT
ejpam-6025	218	1	at	at	ADP
ejpam-6025	218	2	each	each	DET
ejpam-6025	218	3	iteration	iteration	NOUN
ejpam-6025	218	4	,	,	PUNCT
ejpam-6025	218	5	known	know	VERB
ejpam-6025	218	6	as	as	ADP
ejpam-6025	218	7	a	a	DET
ejpam-6025	218	8	generation	generation	NOUN
ejpam-6025	218	9	,	,	PUNCT
ejpam-6025	218	10	a	a	DET
ejpam-6025	218	11	new	new	ADJ
ejpam-6025	218	12	population	population	NOUN
ejpam-6025	218	13	is	be	AUX
ejpam-6025	218	14	created	create	VERB
ejpam-6025	218	15	,	,	PUNCT
ejpam-6025	218	16	maintaining	maintain	VERB
ejpam-6025	218	17	the	the	DET
ejpam-6025	218	18	same	same	ADJ
ejpam-6025	218	19	number	number	NOUN
ejpam-6025	218	20	of	of	ADP
ejpam-6025	218	21	chromosomes	chromosome	NOUN
ejpam-6025	218	22	.	.	PUNCT
ejpam-6025	219	1	this	this	DET
ejpam-6025	219	2	new	new	ADJ
ejpam-6025	219	3	population	population	NOUN
ejpam-6025	219	4	is	be	AUX
ejpam-6025	219	5	composed	compose	VERB
ejpam-6025	219	6	of	of	ADP
ejpam-6025	219	7	chromosomes	chromosome	NOUN
ejpam-6025	219	8	that	that	PRON
ejpam-6025	219	9	are	be	AUX
ejpam-6025	219	10	better	well	ADV
ejpam-6025	219	11	adapted	adapt	VERB
ejpam-6025	219	12	to	to	ADP
ejpam-6025	219	13	their	their	PRON
ejpam-6025	219	14	environment	environment	NOUN
ejpam-6025	219	15	,	,	PUNCT
ejpam-6025	219	16	as	as	SCONJ
ejpam-6025	219	17	evaluated	evaluate	VERB
ejpam-6025	219	18	by	by	ADP
ejpam-6025	219	19	a	a	DET
ejpam-6025	219	20	selection	selection	NOUN
ejpam-6025	219	21	(	(	PUNCT
ejpam-6025	219	22	fitness	fitness	NOUN
ejpam-6025	219	23	)	)	PUNCT
ejpam-6025	219	24	function	function	NOUN
ejpam-6025	219	25	.	.	PUNCT
ejpam-6025	220	1	over	over	ADP
ejpam-6025	220	2	successive	successive	ADJ
ejpam-6025	220	3	generations	generation	NOUN
ejpam-6025	220	4	,	,	PUNCT
ejpam-6025	220	5	the	the	DET
ejpam-6025	220	6	population	population	NOUN
ejpam-6025	220	7	evolves	evolve	VERB
ejpam-6025	220	8	towards	towards	ADP
ejpam-6025	220	9	the	the	DET
ejpam-6025	220	10	optimum	optimum	NOUN
ejpam-6025	220	11	of	of	ADP
ejpam-6025	220	12	this	this	DET
ejpam-6025	220	13	function	function	NOUN
ejpam-6025	220	14	.	.	PUNCT
ejpam-6025	221	1	the	the	DET
ejpam-6025	221	2	algorithm	algorithm	NOUN
ejpam-6025	221	3	begins	begin	VERB
ejpam-6025	221	4	by	by	ADP
ejpam-6025	221	5	randomly	randomly	ADV
ejpam-6025	221	6	generating	generate	VERB
ejpam-6025	221	7	an	an	DET
ejpam-6025	221	8	initial	initial	ADJ
ejpam-6025	221	9	population	population	NOUN
ejpam-6025	221	10	of	of	ADP
ejpam-6025	221	11	individuals	individual	NOUN
ejpam-6025	221	12	.	.	PUNCT
ejpam-6025	222	1	to	to	PART
ejpam-6025	222	2	evolve	evolve	VERB
ejpam-6025	222	3	from	from	ADP
ejpam-6025	222	4	generation	generation	NOUN
ejpam-6025	222	5	k	k	PROPN
ejpam-6025	222	6	to	to	PART
ejpam-6025	222	7	generation	generation	VERB
ejpam-6025	222	8	k	k	PROPN
ejpam-6025	223	1	+	+	CCONJ
ejpam-6025	223	2	1	1	NUM
ejpam-6025	223	3	,	,	PUNCT
ejpam-6025	223	4	three	three	NUM
ejpam-6025	223	5	genetic	genetic	ADJ
ejpam-6025	223	6	operations	operation	NOUN
ejpam-6025	223	7	are	be	AUX
ejpam-6025	223	8	repeatedly	repeatedly	ADV
ejpam-6025	223	9	applied	apply	VERB
ejpam-6025	223	10	to	to	ADP
ejpam-6025	223	11	the	the	DET
ejpam-6025	223	12	individuals	individual	NOUN
ejpam-6025	223	13	in	in	ADP
ejpam-6025	223	14	generation	generation	NOUN
ejpam-6025	223	15	k	k	NOUN
ejpam-6025	223	16	:	:	PUNCT
ejpam-6025	223	17	selection	selection	NOUN
ejpam-6025	223	18	,	,	PUNCT
ejpam-6025	223	19	crossover	crossover	NOUN
ejpam-6025	223	20	,	,	PUNCT
ejpam-6025	223	21	and	and	CCONJ
ejpam-6025	223	22	mutation	mutation	NOUN
ejpam-6025	223	23	.	.	PUNCT
ejpam-6025	224	1	•	•	NUM
ejpam-6025	224	2	selection	selection	NOUN
ejpam-6025	224	3	:	:	PUNCT
ejpam-6025	224	4	this	this	DET
ejpam-6025	224	5	operation	operation	NOUN
ejpam-6025	224	6	selects	select	VERB
ejpam-6025	224	7	the	the	DET
ejpam-6025	224	8	best	well	ADV
ejpam-6025	224	9	-	-	PUNCT
ejpam-6025	224	10	performing	perform	VERB
ejpam-6025	224	11	chromosomes	chromosome	NOUN
ejpam-6025	224	12	based	base	VERB
ejpam-6025	224	13	on	on	ADP
ejpam-6025	224	14	the	the	DET
ejpam-6025	224	15	objective	objective	ADJ
ejpam-6025	224	16	function	function	NOUN
ejpam-6025	224	17	,	,	PUNCT
ejpam-6025	224	18	preserving	preserve	VERB
ejpam-6025	224	19	those	those	PRON
ejpam-6025	224	20	with	with	ADP
ejpam-6025	224	21	higher	high	ADJ
ejpam-6025	224	22	fitness	fitness	NOUN
ejpam-6025	224	23	.	.	PUNCT
ejpam-6025	225	1	•	•	NUM
ejpam-6025	225	2	crossover	crossover	NOUN
ejpam-6025	225	3	:	:	PUNCT
ejpam-6025	225	4	this	this	DET
ejpam-6025	225	5	operation	operation	NOUN
ejpam-6025	225	6	produces	produce	VERB
ejpam-6025	225	7	two	two	NUM
ejpam-6025	225	8	new	new	ADJ
ejpam-6025	225	9	“	"	PUNCT
ejpam-6025	225	10	child	child	NOUN
ejpam-6025	225	11	”	"	PUNCT
ejpam-6025	225	12	chromosomes	chromosome	NOUN
ejpam-6025	225	13	by	by	ADP
ejpam-6025	225	14	combining	combine	VERB
ejpam-6025	225	15	two	two	NUM
ejpam-6025	225	16	selected	select	VERB
ejpam-6025	225	17	“	"	PUNCT
ejpam-6025	225	18	parent	parent	NOUN
ejpam-6025	225	19	”	"	PUNCT
ejpam-6025	225	20	chromosomes	chromosome	NOUN
ejpam-6025	225	21	.	.	PUNCT
ejpam-6025	226	1	•	•	NUM
ejpam-6025	226	2	mutation	mutation	NOUN
ejpam-6025	226	3	:	:	PUNCT
ejpam-6025	226	4	this	this	DET
ejpam-6025	226	5	operation	operation	NOUN
ejpam-6025	226	6	introduces	introduce	VERB
ejpam-6025	226	7	random	random	ADJ
ejpam-6025	226	8	modifications	modification	NOUN
ejpam-6025	226	9	by	by	ADP
ejpam-6025	226	10	inverting	invert	VERB
ejpam-6025	226	11	one	one	NUM
ejpam-6025	226	12	or	or	CCONJ
ejpam-6025	226	13	more	more	ADJ
ejpam-6025	226	14	genes	gene	NOUN
ejpam-6025	226	15	in	in	ADP
ejpam-6025	226	16	a	a	DET
ejpam-6025	226	17	chromosome[21	chromosome[21	NOUN
ejpam-6025	226	18	]	]	PUNCT
ejpam-6025	226	19	.	.	PUNCT
ejpam-6025	227	1	figure	figure	VERB
ejpam-6025	227	2	3	3	NUM
ejpam-6025	227	3	:	:	PUNCT
ejpam-6025	227	4	illustration	illustration	NOUN
ejpam-6025	227	5	of	of	ADP
ejpam-6025	227	6	the	the	DET
ejpam-6025	227	7	operations	operation	NOUN
ejpam-6025	227	8	in	in	ADP
ejpam-6025	227	9	a	a	DET
ejpam-6025	227	10	basic	basic	ADJ
ejpam-6025	227	11	genetic	genetic	ADJ
ejpam-6025	227	12	algorithm	algorithm	NOUN
ejpam-6025	227	13	4.3.2	4.3.2	NOUN
ejpam-6025	227	14	.	.	PUNCT
ejpam-6025	228	1	application	application	NOUN
ejpam-6025	228	2	of	of	ADP
ejpam-6025	228	3	the	the	DET
ejpam-6025	228	4	genetic	genetic	ADJ
ejpam-6025	228	5	algorithm	algorithm	NOUN
ejpam-6025	228	6	the	the	DET
ejpam-6025	228	7	algorithm	algorithm	NOUN
ejpam-6025	228	8	considered	consider	VERB
ejpam-6025	228	9	in	in	ADP
ejpam-6025	228	10	this	this	DET
ejpam-6025	228	11	article	article	NOUN
ejpam-6025	228	12	is	be	AUX
ejpam-6025	228	13	freely	freely	ADV
ejpam-6025	228	14	implemented	implement	VERB
ejpam-6025	228	15	by	by	ADP
ejpam-6025	228	16	[	[	PUNCT
ejpam-6025	228	17	22],and	22],and	PRON
ejpam-6025	228	18	begins	begin	VERB
ejpam-6025	228	19	with	with	ADP
ejpam-6025	228	20	the	the	DET
ejpam-6025	228	21	maximization	maximization	NOUN
ejpam-6025	228	22	of	of	ADP
ejpam-6025	228	23	the	the	DET
ejpam-6025	228	24	ratio	ratio	NOUN
ejpam-6025	228	25	of	of	ADP
ejpam-6025	228	26	two	two	NUM
ejpam-6025	228	27	functions	function	NOUN
ejpam-6025	228	28	.	.	PUNCT
ejpam-6025	229	1	the	the	DET
ejpam-6025	229	2	numerator	numerator	NOUN
ejpam-6025	229	3	represents	represent	VERB
ejpam-6025	229	4	the	the	DET
ejpam-6025	229	5	change	change	NOUN
ejpam-6025	229	6	in	in	ADP
ejpam-6025	229	7	value	value	NOUN
ejpam-6025	229	8	of	of	ADP
ejpam-6025	229	9	the	the	DET
ejpam-6025	229	10	sub	sub	NOUN
ejpam-6025	229	11	-	-	NOUN
ejpam-6025	229	12	portfolio	portfolio	NOUN
ejpam-6025	229	13	while	while	SCONJ
ejpam-6025	229	14	the	the	DET
ejpam-6025	229	15	denomotor	denomotor	NOUN
ejpam-6025	229	16	is	be	AUX
ejpam-6025	229	17	the	the	DET
ejpam-6025	229	18	associated	associated	ADJ
ejpam-6025	229	19	risk	risk	NOUN
ejpam-6025	229	20	,	,	PUNCT
ejpam-6025	229	21	when	when	SCONJ
ejpam-6025	229	22	respecting	respect	VERB
ejpam-6025	229	23	ch	ch	NOUN
ejpam-6025	229	24	.	.	PUNCT
ejpam-6025	230	1	ahmed	ahmed	PROPN
ejpam-6025	230	2	baba	baba	PROPN
ejpam-6025	230	3	,	,	PUNCT
ejpam-6025	230	4	a.	a.	PROPN
ejpam-6025	230	5	ka	ka	PROPN
ejpam-6025	230	6	dionque	dionque	PROPN
ejpam-6025	230	7	/	/	SYM
ejpam-6025	230	8	eur	eur	PROPN
ejpam-6025	230	9	.	.	PUNCT
ejpam-6025	231	1	j.	j.	PROPN
ejpam-6025	231	2	pure	pure	PROPN
ejpam-6025	231	3	appl	appl	PROPN
ejpam-6025	231	4	.	.	PROPN
ejpam-6025	231	5	math	math	PROPN
ejpam-6025	231	6	,	,	PUNCT
ejpam-6025	231	7	18	18	NUM
ejpam-6025	231	8	(	(	PUNCT
ejpam-6025	231	9	3	3	NUM
ejpam-6025	231	10	)	)	PUNCT
ejpam-6025	231	11	(	(	PUNCT
ejpam-6025	231	12	2025	2025	NUM
ejpam-6025	231	13	)	)	PUNCT
ejpam-6025	231	14	,	,	PUNCT
ejpam-6025	231	15	6025	6025	NUM
ejpam-6025	231	16	13	13	NUM
ejpam-6025	231	17	of	of	ADP
ejpam-6025	231	18	19	19	NUM
ejpam-6025	231	19	certain	certain	ADJ
ejpam-6025	231	20	additional	additional	ADJ
ejpam-6025	231	21	constraints	constraint	NOUN
ejpam-6025	231	22	.	.	PUNCT
ejpam-6025	232	1	subsequently	subsequently	ADV
ejpam-6025	232	2	,	,	PUNCT
ejpam-6025	232	3	it	it	PRON
ejpam-6025	232	4	aims	aim	VERB
ejpam-6025	232	5	to	to	PART
ejpam-6025	232	6	dynamically	dynamically	ADV
ejpam-6025	232	7	maximize	maximize	VERB
ejpam-6025	232	8	the	the	DET
ejpam-6025	232	9	value	value	NOUN
ejpam-6025	232	10	of	of	ADP
ejpam-6025	232	11	the	the	DET
ejpam-6025	232	12	sub	sub	NOUN
ejpam-6025	232	13	-	-	NOUN
ejpam-6025	232	14	portfolio	portfolio	NOUN
ejpam-6025	232	15	.	.	PUNCT
ejpam-6025	233	1	the	the	DET
ejpam-6025	233	2	value	value	NOUN
ejpam-6025	233	3	obtained	obtain	VERB
ejpam-6025	233	4	must	must	AUX
ejpam-6025	233	5	be	be	AUX
ejpam-6025	233	6	higher	high	ADJ
ejpam-6025	233	7	than	than	ADP
ejpam-6025	233	8	that	that	PRON
ejpam-6025	233	9	of	of	ADP
ejpam-6025	233	10	the	the	DET
ejpam-6025	233	11	first	first	ADJ
ejpam-6025	233	12	step	step	NOUN
ejpam-6025	233	13	,	,	PUNCT
ejpam-6025	233	14	and	and	CCONJ
ejpam-6025	233	15	the	the	DET
ejpam-6025	233	16	resulting	result	VERB
ejpam-6025	233	17	var	var	NOUN
ejpam-6025	233	18	must	must	AUX
ejpam-6025	233	19	be	be	AUX
ejpam-6025	233	20	lower	low	ADJ
ejpam-6025	233	21	than	than	ADP
ejpam-6025	233	22	that	that	PRON
ejpam-6025	233	23	established	establish	VERB
ejpam-6025	233	24	initially	initially	ADV
ejpam-6025	233	25	,	,	PUNCT
ejpam-6025	233	26	while	while	SCONJ
ejpam-6025	233	27	taking	take	VERB
ejpam-6025	233	28	into	into	ADP
ejpam-6025	233	29	account	account	NOUN
ejpam-6025	233	30	other	other	ADJ
ejpam-6025	233	31	constraints	constraint	NOUN
ejpam-6025	233	32	.	.	PUNCT
ejpam-6025	234	1	in	in	ADP
ejpam-6025	234	2	summary	summary	NOUN
ejpam-6025	234	3	,	,	PUNCT
ejpam-6025	234	4	the	the	DET
ejpam-6025	234	5	steps	step	NOUN
ejpam-6025	234	6	of	of	ADP
ejpam-6025	234	7	the	the	DET
ejpam-6025	234	8	algorithm	algorithm	NOUN
ejpam-6025	234	9	:	:	PUNCT
ejpam-6025	234	10	1initialization	1initialization	NUM
ejpam-6025	234	11	the	the	DET
ejpam-6025	234	12	population	population	NOUN
ejpam-6025	234	13	consists	consist	VERB
ejpam-6025	234	14	of	of	ADP
ejpam-6025	234	15	chromosomes	chromosome	NOUN
ejpam-6025	234	16	consisting	consist	VERB
ejpam-6025	234	17	of	of	ADP
ejpam-6025	234	18	n	n	NOUN
ejpam-6025	234	19	genes	gene	NOUN
ejpam-6025	234	20	representing	represent	VERB
ejpam-6025	234	21	wi	wi	PROPN
ejpam-6025	234	22	(	(	PUNCT
ejpam-6025	234	23	i	i	NOUN
ejpam-6025	234	24	=	=	NOUN
ejpam-6025	234	25	1	1	NUM
ejpam-6025	234	26	,	,	PUNCT
ejpam-6025	234	27	.	.	PUNCT
ejpam-6025	234	28	.	.	PUNCT
ejpam-6025	235	1	.	.	PUNCT
ejpam-6025	236	1	,	,	PUNCT
ejpam-6025	237	1	n	n	CCONJ
ejpam-6025	237	2	)	)	PUNCT
ejpam-6025	237	3	numbers	number	NOUN
ejpam-6025	237	4	,	,	PUNCT
ejpam-6025	237	5	where	where	SCONJ
ejpam-6025	237	6	wi	wi	PROPN
ejpam-6025	237	7	is	be	AUX
ejpam-6025	237	8	the	the	DET
ejpam-6025	237	9	amount	amount	NOUN
ejpam-6025	237	10	of	of	ADP
ejpam-6025	237	11	wealth	wealth	NOUN
ejpam-6025	237	12	invested	invest	VERB
ejpam-6025	237	13	in	in	ADP
ejpam-6025	237	14	the	the	DET
ejpam-6025	237	15	’	'	PUNCT
ejpam-6025	237	16	active	active	ADJ
ejpam-6025	237	17	i.	i.	NOUN
ejpam-6025	237	18	this	this	DET
ejpam-6025	237	19	population	population	NOUN
ejpam-6025	237	20	is	be	AUX
ejpam-6025	237	21	initially	initially	ADV
ejpam-6025	237	22	generated	generate	VERB
ejpam-6025	237	23	randomly	randomly	ADV
ejpam-6025	237	24	using	use	VERB
ejpam-6025	237	25	real	real	ADJ
ejpam-6025	237	26	values	value	NOUN
ejpam-6025	237	27	.	.	PUNCT
ejpam-6025	238	1	2evaluation	2evaluation	NUM
ejpam-6025	238	2	function	function	NOUN
ejpam-6025	238	3	the	the	DET
ejpam-6025	238	4	next	next	ADJ
ejpam-6025	238	5	step	step	NOUN
ejpam-6025	238	6	consists	consist	VERB
ejpam-6025	238	7	of	of	ADP
ejpam-6025	238	8	evaluating	evaluate	VERB
ejpam-6025	238	9	the	the	DET
ejpam-6025	238	10	chromosomes	chromosome	NOUN
ejpam-6025	238	11	resulting	result	VERB
ejpam-6025	238	12	from	from	ADP
ejpam-6025	238	13	the	the	DET
ejpam-6025	238	14	previous	previous	ADJ
ejpam-6025	238	15	operation	operation	NOUN
ejpam-6025	238	16	using	use	VERB
ejpam-6025	238	17	an	an	DET
ejpam-6025	238	18	evaluation	evaluation	NOUN
ejpam-6025	238	19	function	function	NOUN
ejpam-6025	238	20	(	(	PUNCT
ejpam-6025	238	21	fitness	fitness	NOUN
ejpam-6025	238	22	function	function	NOUN
ejpam-6025	238	23	)	)	PUNCT
ejpam-6025	238	24	,	,	PUNCT
ejpam-6025	238	25	which	which	PRON
ejpam-6025	238	26	is	be	AUX
ejpam-6025	238	27	essential	essential	ADJ
ejpam-6025	238	28	in	in	ADP
ejpam-6025	238	29	the	the	DET
ejpam-6025	238	30	context	context	NOUN
ejpam-6025	238	31	of	of	ADP
ejpam-6025	238	32	genetic	genetic	ADJ
ejpam-6025	238	33	algorithms	algorithm	NOUN
ejpam-6025	238	34	.	.	PUNCT
ejpam-6025	239	1	the	the	DET
ejpam-6025	239	2	fitness	fitness	NOUN
ejpam-6025	239	3	functions	function	NOUN
ejpam-6025	239	4	applied	apply	VERB
ejpam-6025	239	5	in	in	ADP
ejpam-6025	239	6	this	this	DET
ejpam-6025	239	7	study	study	NOUN
ejpam-6025	239	8	are	be	AUX
ejpam-6025	239	9	as	as	SCONJ
ejpam-6025	239	10	follows	follow	VERB
ejpam-6025	239	11	:	:	PUNCT
ejpam-6025	239	12	i	i	NOUN
ejpam-6025	239	13	)	)	PUNCT
ejpam-6025	240	1	f	f	PROPN
ejpam-6025	241	1	=	=	PUNCT
ejpam-6025	241	2	∆v	∆v	PROPN
ejpam-6025	241	3	(	(	PUNCT
ejpam-6025	241	4	x	x	NOUN
ejpam-6025	241	5	)	)	PUNCT
ejpam-6025	241	6	σ2	σ2	NOUN
ejpam-6025	241	7	under	under	ADP
ejpam-6025	241	8	the	the	DET
ejpam-6025	241	9	following	following	ADJ
ejpam-6025	241	10	conditions	condition	NOUN
ejpam-6025	241	11	:	:	PUNCT
ejpam-6025	241	12	rpinitial	rpinitial	ADJ
ejpam-6025	241	13	⩽	⩽	ADJ
ejpam-6025	241	14	rpoptimal	rpoptimal	PROPN
ejpam-6025	241	15	and	and	CCONJ
ejpam-6025	241	16	σ2	σ2	PROPN
ejpam-6025	241	17	optimal	optimal	ADJ
ejpam-6025	241	18	⩽	⩽	PROPN
ejpam-6025	241	19	σ2	σ2	PROPN
ejpam-6025	241	20	initial	initial	PROPN
ejpam-6025	241	21	ii	ii	PROPN
ejpam-6025	241	22	)	)	PUNCT
ejpam-6025	241	23	f	f	PROPN
ejpam-6025	242	1	=	=	PUNCT
ejpam-6025	242	2	∆v	∆v	PROPN
ejpam-6025	242	3	(	(	PUNCT
ejpam-6025	242	4	x	x	NOUN
ejpam-6025	242	5	)	)	PUNCT
ejpam-6025	242	6	var(α	var(α	PROPN
ejpam-6025	242	7	,	,	PUNCT
ejpam-6025	242	8	t	t	PROPN
ejpam-6025	242	9	)	)	PUNCT
ejpam-6025	242	10	under	under	ADP
ejpam-6025	242	11	the	the	DET
ejpam-6025	242	12	following	following	ADJ
ejpam-6025	242	13	conditions	condition	NOUN
ejpam-6025	242	14	:	:	PUNCT
ejpam-6025	242	15	rpinitial	rpinitial	ADJ
ejpam-6025	242	16	⩽	⩽	ADJ
ejpam-6025	242	17	rpoptimal	rpoptimal	NOUN
ejpam-6025	242	18	and	and	CCONJ
ejpam-6025	242	19	var(t	var(t	NOUN
ejpam-6025	242	20	,	,	PUNCT
ejpam-6025	242	21	α)optimal	α)optimal	ADJ
ejpam-6025	242	22	⩽	⩽	ADJ
ejpam-6025	242	23	var(t	var(t	PROPN
ejpam-6025	242	24	,	,	PUNCT
ejpam-6025	242	25	α)initial	α)initial	ADJ
ejpam-6025	242	26	3selection	3selection	NUM
ejpam-6025	242	27	operations	operation	NOUN
ejpam-6025	242	28	after	after	ADP
ejpam-6025	242	29	the	the	DET
ejpam-6025	242	30	population	population	NOUN
ejpam-6025	242	31	evaluation	evaluation	NOUN
ejpam-6025	242	32	operation	operation	NOUN
ejpam-6025	242	33	,	,	PUNCT
ejpam-6025	242	34	the	the	DET
ejpam-6025	242	35	best	good	ADJ
ejpam-6025	242	36	chromosomes	chromosome	NOUN
ejpam-6025	242	37	are	be	AUX
ejpam-6025	242	38	selected	select	VERB
ejpam-6025	242	39	using	use	VERB
ejpam-6025	242	40	roulette	roulette	NOUN
ejpam-6025	242	41	selection	selection	NOUN
ejpam-6025	242	42	,	,	PUNCT
ejpam-6025	242	43	which	which	PRON
ejpam-6025	242	44	associates	associate	VERB
ejpam-6025	242	45	a	a	DET
ejpam-6025	242	46	selection	selection	NOUN
ejpam-6025	242	47	probability	probability	NOUN
ejpam-6025	242	48	,	,	PUNCT
ejpam-6025	242	49	denoted	denote	VERB
ejpam-6025	242	50	pi	pi	NOUN
ejpam-6025	242	51	,	,	PUNCT
ejpam-6025	242	52	to	to	ADP
ejpam-6025	242	53	each	each	DET
ejpam-6025	242	54	chromosome	chromosome	NOUN
ejpam-6025	242	55	f	f	NOUN
ejpam-6025	242	56	.	.	PUNCT
ejpam-6025	243	1	for	for	ADP
ejpam-6025	243	2	the	the	DET
ejpam-6025	243	3	maximization	maximization	NOUN
ejpam-6025	243	4	problem	problem	NOUN
ejpam-6025	243	5	:	:	PUNCT
ejpam-6025	243	6	pi	pi	NOUN
ejpam-6025	243	7	=	=	PUNCT
ejpam-6025	243	8	fi∑	fi∑	PROPN
ejpam-6025	243	9	j∈pop	j∈pop	PROPN
ejpam-6025	243	10	fj	fj	PROPN
ejpam-6025	243	11	,	,	PUNCT
ejpam-6025	243	12	where	where	SCONJ
ejpam-6025	243	13	fi	fi	NOUN
ejpam-6025	243	14	is	be	AUX
ejpam-6025	243	15	the	the	DET
ejpam-6025	243	16	value	value	NOUN
ejpam-6025	243	17	of	of	ADP
ejpam-6025	243	18	the	the	DET
ejpam-6025	243	19	individual	individual	NOUN
ejpam-6025	243	20	’s	’s	PART
ejpam-6025	243	21	fitness	fitness	NOUN
ejpam-6025	243	22	function	function	NOUN
ejpam-6025	243	23	i	i	PRON
ejpam-6025	243	24	,	,	PUNCT
ejpam-6025	243	25	which	which	PRON
ejpam-6025	243	26	measures	measure	VERB
ejpam-6025	243	27	the	the	DET
ejpam-6025	243	28	quality	quality	NOUN
ejpam-6025	243	29	of	of	ADP
ejpam-6025	243	30	the	the	DET
ejpam-6025	243	31	candidate	candidate	NOUN
ejpam-6025	243	32	solution	solution	NOUN
ejpam-6025	243	33	with	with	ADP
ejpam-6025	243	34	respect	respect	NOUN
ejpam-6025	243	35	to	to	ADP
ejpam-6025	243	36	the	the	DET
ejpam-6025	243	37	problem	problem	NOUN
ejpam-6025	243	38	objective	objective	NOUN
ejpam-6025	243	39	,	,	PUNCT
ejpam-6025	243	40	and	and	CCONJ
ejpam-6025	243	41	∑	∑	ADP
ejpam-6025	243	42	j∈pop	j∈pop	PROPN
ejpam-6025	243	43	fj	fj	PROPN
ejpam-6025	243	44	is	be	AUX
ejpam-6025	243	45	the	the	DET
ejpam-6025	243	46	sum	sum	NOUN
ejpam-6025	243	47	of	of	ADP
ejpam-6025	243	48	the	the	DET
ejpam-6025	243	49	fitness	fitness	NOUN
ejpam-6025	243	50	values	value	NOUN
ejpam-6025	243	51	of	of	ADP
ejpam-6025	243	52	all	all	DET
ejpam-6025	243	53	individuals	individual	NOUN
ejpam-6025	243	54	in	in	ADP
ejpam-6025	243	55	the	the	DET
ejpam-6025	243	56	population	population	NOUN
ejpam-6025	243	57	.	.	PUNCT
ejpam-6025	244	1	each	each	DET
ejpam-6025	244	2	chromosome	chromosome	NOUN
ejpam-6025	244	3	is	be	AUX
ejpam-6025	244	4	reproduced	reproduce	VERB
ejpam-6025	244	5	with	with	ADP
ejpam-6025	244	6	a	a	DET
ejpam-6025	244	7	certain	certain	ADJ
ejpam-6025	244	8	probability	probability	NOUN
ejpam-6025	244	9	.	.	PUNCT
ejpam-6025	245	1	some	some	DET
ejpam-6025	245	2	chromosomes	chromosome	NOUN
ejpam-6025	245	3	will	will	AUX
ejpam-6025	245	4	be	be	AUX
ejpam-6025	245	5	”	"	PUNCT
ejpam-6025	245	6	no	no	ADV
ejpam-6025	245	7	longer	long	ADV
ejpam-6025	245	8	”	"	PUNCT
ejpam-6025	245	9	reproduced	reproduce	VERB
ejpam-6025	245	10	while	while	SCONJ
ejpam-6025	245	11	other	other	ADJ
ejpam-6025	245	12	”	"	PUNCT
ejpam-6025	245	13	bad	bad	ADJ
ejpam-6025	245	14	”	"	PUNCT
ejpam-6025	245	15	ones	one	NOUN
ejpam-6025	245	16	will	will	AUX
ejpam-6025	245	17	be	be	AUX
ejpam-6025	245	18	eliminated	eliminate	VERB
ejpam-6025	245	19	.	.	PUNCT
ejpam-6025	246	1	ch	ch	NOUN
ejpam-6025	246	2	.	.	PUNCT
ejpam-6025	246	3	ahmed	ahmed	PROPN
ejpam-6025	246	4	baba	baba	PROPN
ejpam-6025	246	5	,	,	PUNCT
ejpam-6025	246	6	a.	a.	PROPN
ejpam-6025	246	7	ka	ka	PROPN
ejpam-6025	246	8	dionque	dionque	PROPN
ejpam-6025	246	9	/	/	SYM
ejpam-6025	246	10	eur	eur	PROPN
ejpam-6025	246	11	.	.	PUNCT
ejpam-6025	247	1	j.	j.	PROPN
ejpam-6025	247	2	pure	pure	PROPN
ejpam-6025	247	3	appl	appl	PROPN
ejpam-6025	247	4	.	.	PROPN
ejpam-6025	247	5	math	math	PROPN
ejpam-6025	247	6	,	,	PUNCT
ejpam-6025	247	7	18	18	NUM
ejpam-6025	247	8	(	(	PUNCT
ejpam-6025	247	9	3	3	NUM
ejpam-6025	247	10	)	)	PUNCT
ejpam-6025	247	11	(	(	PUNCT
ejpam-6025	247	12	2025	2025	NUM
ejpam-6025	247	13	)	)	PUNCT
ejpam-6025	247	14	,	,	PUNCT
ejpam-6025	247	15	6025	6025	NUM
ejpam-6025	247	16	14	14	NUM
ejpam-6025	247	17	of	of	ADP
ejpam-6025	247	18	19	19	NUM
ejpam-6025	247	19	4crossing	4crossing	NUM
ejpam-6025	247	20	operations	operation	NOUN
ejpam-6025	247	21	after	after	ADP
ejpam-6025	247	22	using	use	VERB
ejpam-6025	247	23	the	the	DET
ejpam-6025	247	24	selection	selection	NOUN
ejpam-6025	247	25	method	method	NOUN
ejpam-6025	247	26	to	to	PART
ejpam-6025	247	27	choose	choose	VERB
ejpam-6025	247	28	two	two	NUM
ejpam-6025	247	29	individuals	individual	NOUN
ejpam-6025	248	1	,	,	PUNCT
ejpam-6025	248	2	we	we	PRON
ejpam-6025	248	3	apply	apply	VERB
ejpam-6025	248	4	the	the	DET
ejpam-6025	248	5	one	one	NUM
ejpam-6025	248	6	-	-	PUNCT
ejpam-6025	248	7	point	point	NOUN
ejpam-6025	248	8	crossover	crossover	NOUN
ejpam-6025	248	9	operator	operator	NOUN
ejpam-6025	248	10	between	between	ADP
ejpam-6025	248	11	these	these	DET
ejpam-6025	248	12	individuals	individual	NOUN
ejpam-6025	248	13	.	.	PUNCT
ejpam-6025	249	1	this	this	DET
ejpam-6025	249	2	operator	operator	NOUN
ejpam-6025	249	3	divides	divide	VERB
ejpam-6025	249	4	each	each	DET
ejpam-6025	249	5	parent	parent	NOUN
ejpam-6025	249	6	into	into	ADP
ejpam-6025	249	7	two	two	NUM
ejpam-6025	249	8	parts	part	NOUN
ejpam-6025	249	9	at	at	ADP
ejpam-6025	249	10	a	a	DET
ejpam-6025	249	11	randomly	randomly	ADV
ejpam-6025	249	12	chosen	choose	VERB
ejpam-6025	249	13	position	position	NOUN
ejpam-6025	249	14	.	.	PUNCT
ejpam-6025	250	1	child	child	NOUN
ejpam-6025	250	2	1	1	NUM
ejpam-6025	250	3	is	be	AUX
ejpam-6025	250	4	made	make	VERB
ejpam-6025	250	5	up	up	ADP
ejpam-6025	250	6	of	of	ADP
ejpam-6025	250	7	the	the	DET
ejpam-6025	250	8	first	first	ADJ
ejpam-6025	250	9	part	part	NOUN
ejpam-6025	250	10	of	of	ADP
ejpam-6025	250	11	the	the	DET
ejpam-6025	250	12	first	first	ADJ
ejpam-6025	250	13	parent	parent	NOUN
ejpam-6025	250	14	and	and	CCONJ
ejpam-6025	250	15	the	the	DET
ejpam-6025	250	16	second	second	ADJ
ejpam-6025	250	17	part	part	NOUN
ejpam-6025	250	18	of	of	ADP
ejpam-6025	250	19	the	the	DET
ejpam-6025	250	20	second	second	ADJ
ejpam-6025	250	21	parent	parent	NOUN
ejpam-6025	250	22	,	,	PUNCT
ejpam-6025	250	23	while	while	SCONJ
ejpam-6025	250	24	child	child	NOUN
ejpam-6025	250	25	2	2	NUM
ejpam-6025	250	26	is	be	AUX
ejpam-6025	250	27	made	make	VERB
ejpam-6025	250	28	of	of	ADP
ejpam-6025	250	29	the	the	DET
ejpam-6025	250	30	second	second	ADJ
ejpam-6025	250	31	part	part	NOUN
ejpam-6025	250	32	of	of	ADP
ejpam-6025	250	33	the	the	DET
ejpam-6025	250	34	first	first	ADJ
ejpam-6025	250	35	parent	parent	NOUN
ejpam-6025	250	36	and	and	CCONJ
ejpam-6025	250	37	the	the	DET
ejpam-6025	250	38	first	first	ADJ
ejpam-6025	250	39	part	part	NOUN
ejpam-6025	250	40	of	of	ADP
ejpam-6025	250	41	the	the	DET
ejpam-6025	250	42	second	second	ADJ
ejpam-6025	250	43	parent	parent	NOUN
ejpam-6025	250	44	.	.	PUNCT
ejpam-6025	251	1	figure	figure	VERB
ejpam-6025	251	2	4	4	NUM
ejpam-6025	251	3	:	:	SYM
ejpam-6025	251	4	5	5	NUM
ejpam-6025	251	5	-	-	PUNCT
ejpam-6025	251	6	mutation	mutation	NOUN
ejpam-6025	251	7	operator	operator	NOUN
ejpam-6025	251	8	the	the	DET
ejpam-6025	251	9	mutation	mutation	NOUN
ejpam-6025	251	10	operator	operator	NOUN
ejpam-6025	252	1	[	[	X
ejpam-6025	252	2	21	21	NUM
ejpam-6025	252	3	]	]	PUNCT
ejpam-6025	252	4	is	be	AUX
ejpam-6025	252	5	an	an	DET
ejpam-6025	252	6	operator	operator	NOUN
ejpam-6025	252	7	that	that	PRON
ejpam-6025	252	8	allows	allow	VERB
ejpam-6025	252	9	an	an	DET
ejpam-6025	252	10	genetic	genetic	ADJ
ejpam-6025	252	11	algorithm	algorithm	NOUN
ejpam-6025	252	12	to	to	PART
ejpam-6025	252	13	reach	reach	VERB
ejpam-6025	252	14	all	all	DET
ejpam-6025	252	15	points	point	NOUN
ejpam-6025	252	16	in	in	ADP
ejpam-6025	252	17	the	the	DET
ejpam-6025	252	18	state	state	NOUN
ejpam-6025	252	19	space	space	NOUN
ejpam-6025	252	20	in	in	ADP
ejpam-6025	252	21	a	a	DET
ejpam-6025	252	22	susceptible	susceptible	ADJ
ejpam-6025	252	23	way	way	NOUN
ejpam-6025	252	24	,	,	PUNCT
ejpam-6025	252	25	without	without	ADP
ejpam-6025	252	26	traversing	traverse	VERB
ejpam-6025	252	27	them	they	PRON
ejpam-6025	252	28	all	all	PRON
ejpam-6025	252	29	in	in	ADP
ejpam-6025	252	30	the	the	DET
ejpam-6025	252	31	solution	solution	NOUN
ejpam-6025	252	32	process.it	process.it	X
ejpam-6025	252	33	which	which	PRON
ejpam-6025	252	34	allows	allow	VERB
ejpam-6025	252	35	the	the	DET
ejpam-6025	252	36	convergence	convergence	NOUN
ejpam-6025	252	37	of	of	ADP
ejpam-6025	252	38	genetic	genetic	ADJ
ejpam-6025	252	39	algorithms	algorithm	NOUN
ejpam-6025	252	40	towards	towards	ADP
ejpam-6025	252	41	the	the	DET
ejpam-6025	252	42	global	global	ADJ
ejpam-6025	252	43	optimum	optimum	NOUN
ejpam-6025	252	44	.	.	PUNCT
ejpam-6025	253	1	this	this	DET
ejpam-6025	253	2	operation	operation	NOUN
ejpam-6025	253	3	consists	consist	VERB
ejpam-6025	253	4	of	of	ADP
ejpam-6025	253	5	randomly	randomly	ADV
ejpam-6025	253	6	replacing	replace	VERB
ejpam-6025	253	7	a	a	DET
ejpam-6025	253	8	gene	gene	NOUN
ejpam-6025	253	9	in	in	ADP
ejpam-6025	253	10	the	the	DET
ejpam-6025	253	11	chromosome	chromosome	NOUN
ejpam-6025	253	12	by	by	ADP
ejpam-6025	253	13	a	a	DET
ejpam-6025	253	14	random	random	ADJ
ejpam-6025	253	15	value	value	NOUN
ejpam-6025	253	16	.	.	PUNCT
ejpam-6025	254	1	this	this	PRON
ejpam-6025	254	2	can	can	AUX
ejpam-6025	254	3	be	be	AUX
ejpam-6025	254	4	chosen	choose	VERB
ejpam-6025	254	5	in	in	ADP
ejpam-6025	254	6	the	the	DET
ejpam-6025	254	7	vicinity	vicinity	NOUN
ejpam-6025	254	8	of	of	ADP
ejpam-6025	254	9	the	the	DET
ejpam-6025	254	10	value	value	NOUN
ejpam-6025	254	11	initial	initial	NOUN
ejpam-6025	254	12	.	.	PUNCT
ejpam-6025	255	1	it	it	PRON
ejpam-6025	255	2	is	be	AUX
ejpam-6025	255	3	generally	generally	ADV
ejpam-6025	255	4	used	use	VERB
ejpam-6025	255	5	for	for	ADP
ejpam-6025	255	6	discrete	discrete	ADJ
ejpam-6025	255	7	problems	problem	NOUN
ejpam-6025	255	8	.	.	PUNCT
ejpam-6025	256	1	the	the	DET
ejpam-6025	256	2	figure	figure	NOUN
ejpam-6025	256	3	below	below	ADV
ejpam-6025	256	4	illustrates	illustrate	VERB
ejpam-6025	256	5	this	this	DET
ejpam-6025	256	6	mechanism	mechanism	NOUN
ejpam-6025	256	7	well	well	ADV
ejpam-6025	256	8	.	.	PUNCT
ejpam-6025	257	1	figure	figure	VERB
ejpam-6025	257	2	5	5	NUM
ejpam-6025	257	3	:	:	PUNCT
ejpam-6025	257	4	6convergence	6convergence	NUM
ejpam-6025	257	5	conditions	condition	NOUN
ejpam-6025	257	6	at	at	ADP
ejpam-6025	257	7	this	this	DET
ejpam-6025	257	8	level	level	NOUN
ejpam-6025	257	9	,	,	PUNCT
ejpam-6025	257	10	the	the	DET
ejpam-6025	257	11	final	final	ADJ
ejpam-6025	257	12	generation	generation	NOUN
ejpam-6025	257	13	is	be	AUX
ejpam-6025	257	14	considered	consider	VERB
ejpam-6025	257	15	.	.	PUNCT
ejpam-6025	258	1	if	if	SCONJ
ejpam-6025	258	2	the	the	DET
ejpam-6025	258	3	result	result	NOUN
ejpam-6025	258	4	is	be	AUX
ejpam-6025	258	5	favorable	favorable	ADJ
ejpam-6025	258	6	,	,	PUNCT
ejpam-6025	258	7	then	then	ADV
ejpam-6025	258	8	the	the	DET
ejpam-6025	258	9	optimal	optimal	ADJ
ejpam-6025	258	10	chromosome	chromosome	NOUN
ejpam-6025	258	11	is	be	AUX
ejpam-6025	258	12	obtained	obtain	VERB
ejpam-6025	258	13	.	.	PUNCT
ejpam-6025	259	1	otherwise	otherwise	ADV
ejpam-6025	259	2	,	,	PUNCT
ejpam-6025	259	3	the	the	DET
ejpam-6025	259	4	evaluation	evaluation	NOUN
ejpam-6025	259	5	and	and	CCONJ
ejpam-6025	259	6	reproduction	reproduction	NOUN
ejpam-6025	259	7	steps	step	NOUN
ejpam-6025	259	8	are	be	AUX
ejpam-6025	259	9	repeated	repeat	VERB
ejpam-6025	259	10	for	for	ADP
ejpam-6025	259	11	a	a	DET
ejpam-6025	259	12	certain	certain	ADJ
ejpam-6025	259	13	number	number	NOUN
ejpam-6025	259	14	of	of	ADP
ejpam-6025	259	15	generations	generation	NOUN
ejpam-6025	259	16	,	,	PUNCT
ejpam-6025	259	17	until	until	SCONJ
ejpam-6025	259	18	a	a	DET
ejpam-6025	259	19	population	population	NOUN
ejpam-6025	259	20	convergence	convergence	NOUN
ejpam-6025	259	21	criterion	criterion	NOUN
ejpam-6025	259	22	is	be	AUX
ejpam-6025	259	23	reached	reach	VERB
ejpam-6025	259	24	.	.	PUNCT
ejpam-6025	260	1	ch	ch	NOUN
ejpam-6025	260	2	.	.	PUNCT
ejpam-6025	261	1	ahmed	ahmed	PROPN
ejpam-6025	261	2	baba	baba	PROPN
ejpam-6025	261	3	,	,	PUNCT
ejpam-6025	261	4	a.	a.	PROPN
ejpam-6025	261	5	ka	ka	PROPN
ejpam-6025	261	6	dionque	dionque	PROPN
ejpam-6025	261	7	/	/	SYM
ejpam-6025	261	8	eur	eur	PROPN
ejpam-6025	261	9	.	.	PUNCT
ejpam-6025	262	1	j.	j.	PROPN
ejpam-6025	262	2	pure	pure	PROPN
ejpam-6025	262	3	appl	appl	PROPN
ejpam-6025	262	4	.	.	PROPN
ejpam-6025	262	5	math	math	PROPN
ejpam-6025	262	6	,	,	PUNCT
ejpam-6025	262	7	18	18	NUM
ejpam-6025	262	8	(	(	PUNCT
ejpam-6025	262	9	3	3	NUM
ejpam-6025	262	10	)	)	PUNCT
ejpam-6025	262	11	(	(	PUNCT
ejpam-6025	262	12	2025	2025	NUM
ejpam-6025	262	13	)	)	PUNCT
ejpam-6025	262	14	,	,	PUNCT
ejpam-6025	262	15	6025	6025	NUM
ejpam-6025	262	16	15	15	NUM
ejpam-6025	262	17	of	of	ADP
ejpam-6025	262	18	19	19	NUM
ejpam-6025	262	19	4.3.3	4.3.3	NUM
ejpam-6025	262	20	.	.	PUNCT
ejpam-6025	263	1	particle	particle	NOUN
ejpam-6025	263	2	swarm	swarm	NOUN
ejpam-6025	263	3	optimization	optimization	NOUN
ejpam-6025	263	4	the	the	DET
ejpam-6025	263	5	particle	particle	NOUN
ejpam-6025	263	6	swarm	swarm	NOUN
ejpam-6025	263	7	optimization	optimization	NOUN
ejpam-6025	263	8	(	(	PUNCT
ejpam-6025	263	9	pso	pso	NOUN
ejpam-6025	263	10	)	)	PUNCT
ejpam-6025	263	11	algorithm	algorithm	NOUN
ejpam-6025	263	12	is	be	AUX
ejpam-6025	263	13	an	an	DET
ejpam-6025	263	14	optimization	optimization	NOUN
ejpam-6025	263	15	method	method	NOUN
ejpam-6025	263	16	inspired	inspire	VERB
ejpam-6025	263	17	by	by	ADP
ejpam-6025	263	18	the	the	DET
ejpam-6025	263	19	collective	collective	ADJ
ejpam-6025	263	20	behavior	behavior	NOUN
ejpam-6025	263	21	of	of	ADP
ejpam-6025	263	22	birds	bird	NOUN
ejpam-6025	263	23	in	in	ADP
ejpam-6025	263	24	flight	flight	NOUN
ejpam-6025	263	25	or	or	CCONJ
ejpam-6025	263	26	fish	fish	NOUN
ejpam-6025	263	27	schooling	schooling	NOUN
ejpam-6025	263	28	.	.	PUNCT
ejpam-6025	264	1	each	each	DET
ejpam-6025	264	2	potential	potential	ADJ
ejpam-6025	264	3	solution	solution	NOUN
ejpam-6025	264	4	(	(	PUNCT
ejpam-6025	264	5	called	call	VERB
ejpam-6025	264	6	a	a	DET
ejpam-6025	264	7	particle	particle	NOUN
ejpam-6025	264	8	)	)	PUNCT
ejpam-6025	264	9	explores	explore	VERB
ejpam-6025	264	10	the	the	DET
ejpam-6025	264	11	search	search	NOUN
ejpam-6025	264	12	space	space	NOUN
ejpam-6025	264	13	by	by	ADP
ejpam-6025	264	14	moving	move	VERB
ejpam-6025	264	15	according	accord	VERB
ejpam-6025	264	16	to	to	ADP
ejpam-6025	264	17	both	both	DET
ejpam-6025	264	18	its	its	PRON
ejpam-6025	264	19	own	own	ADJ
ejpam-6025	264	20	experience	experience	NOUN
ejpam-6025	264	21	and	and	CCONJ
ejpam-6025	264	22	that	that	PRON
ejpam-6025	264	23	of	of	ADP
ejpam-6025	264	24	other	other	ADJ
ejpam-6025	264	25	particles	particle	NOUN
ejpam-6025	264	26	(	(	PUNCT
ejpam-6025	264	27	i.e.	i.e.	X
ejpam-6025	264	28	,	,	PUNCT
ejpam-6025	264	29	the	the	DET
ejpam-6025	264	30	best	good	ADJ
ejpam-6025	264	31	solution	solution	NOUN
ejpam-6025	264	32	found	find	VERB
ejpam-6025	264	33	by	by	ADP
ejpam-6025	264	34	the	the	DET
ejpam-6025	264	35	swarm	swarm	NOUN
ejpam-6025	264	36	)	)	PUNCT
ejpam-6025	265	1	[	[	X
ejpam-6025	265	2	23	23	NUM
ejpam-6025	265	3	]	]	PUNCT
ejpam-6025	265	4	.	.	PUNCT
ejpam-6025	266	1	each	each	DET
ejpam-6025	266	2	particle	particle	NOUN
ejpam-6025	266	3	updates	update	VERB
ejpam-6025	266	4	its	its	PRON
ejpam-6025	266	5	position	position	NOUN
ejpam-6025	266	6	(	(	PUNCT
ejpam-6025	266	7	current	current	ADJ
ejpam-6025	266	8	solution	solution	NOUN
ejpam-6025	266	9	)	)	PUNCT
ejpam-6025	266	10	and	and	CCONJ
ejpam-6025	266	11	velocity	velocity	NOUN
ejpam-6025	266	12	based	base	VERB
ejpam-6025	266	13	on	on	ADP
ejpam-6025	266	14	:	:	PUNCT
ejpam-6025	266	15	•	•	NUM
ejpam-6025	266	16	its	its	PRON
ejpam-6025	266	17	own	own	ADJ
ejpam-6025	266	18	personal	personal	ADJ
ejpam-6025	266	19	best	good	ADJ
ejpam-6025	266	20	position	position	NOUN
ejpam-6025	266	21	found	find	VERB
ejpam-6025	266	22	so	so	ADV
ejpam-6025	266	23	far	far	ADV
ejpam-6025	266	24	,	,	PUNCT
ejpam-6025	266	25	•	•	CCONJ
ejpam-6025	266	26	the	the	DET
ejpam-6025	266	27	global	global	ADJ
ejpam-6025	266	28	best	good	ADJ
ejpam-6025	266	29	position	position	NOUN
ejpam-6025	266	30	found	find	VERB
ejpam-6025	266	31	by	by	ADP
ejpam-6025	266	32	the	the	DET
ejpam-6025	266	33	swarm	swarm	NOUN
ejpam-6025	266	34	,	,	PUNCT
ejpam-6025	266	35	•	•	NUM
ejpam-6025	266	36	random	random	ADJ
ejpam-6025	266	37	factors	factor	NOUN
ejpam-6025	266	38	that	that	PRON
ejpam-6025	266	39	help	help	VERB
ejpam-6025	266	40	diversify	diversify	VERB
ejpam-6025	266	41	the	the	DET
ejpam-6025	266	42	search	search	NOUN
ejpam-6025	266	43	.	.	PUNCT
ejpam-6025	267	1	pso	pso	NOUN
ejpam-6025	267	2	is	be	AUX
ejpam-6025	267	3	often	often	ADV
ejpam-6025	267	4	used	use	VERB
ejpam-6025	267	5	for	for	ADP
ejpam-6025	267	6	complex	complex	ADJ
ejpam-6025	267	7	continuous	continuous	ADJ
ejpam-6025	267	8	optimization	optimization	NOUN
ejpam-6025	267	9	problems	problem	NOUN
ejpam-6025	267	10	,	,	PUNCT
ejpam-6025	267	11	such	such	ADJ
ejpam-6025	267	12	as	as	ADP
ejpam-6025	267	13	portfolio	portfolio	NOUN
ejpam-6025	267	14	allocation	allocation	NOUN
ejpam-6025	267	15	,	,	PUNCT
ejpam-6025	267	16	due	due	ADP
ejpam-6025	267	17	to	to	ADP
ejpam-6025	267	18	its	its	PRON
ejpam-6025	267	19	simplicity	simplicity	NOUN
ejpam-6025	267	20	,	,	PUNCT
ejpam-6025	267	21	robustness	robustness	NOUN
ejpam-6025	267	22	,	,	PUNCT
ejpam-6025	267	23	and	and	CCONJ
ejpam-6025	267	24	speed	speed	NOUN
ejpam-6025	267	25	.	.	PUNCT
ejpam-6025	268	1	we	we	PRON
ejpam-6025	268	2	applied	apply	VERB
ejpam-6025	268	3	it	it	PRON
ejpam-6025	268	4	to	to	ADP
ejpam-6025	268	5	the	the	DET
ejpam-6025	268	6	ten	ten	NUM
ejpam-6025	268	7	bestperforming	bestperforme	VERB
ejpam-6025	268	8	assets	asset	NOUN
ejpam-6025	268	9	that	that	PRON
ejpam-6025	268	10	were	be	AUX
ejpam-6025	268	11	also	also	ADV
ejpam-6025	268	12	evaluated	evaluate	VERB
ejpam-6025	268	13	using	use	VERB
ejpam-6025	268	14	the	the	DET
ejpam-6025	268	15	genetic	genetic	ADJ
ejpam-6025	268	16	algorithm	algorithm	NOUN
ejpam-6025	268	17	.	.	PUNCT
ejpam-6025	269	1	5	5	X
ejpam-6025	269	2	.	.	X
ejpam-6025	269	3	results	result	NOUN
ejpam-6025	269	4	and	and	CCONJ
ejpam-6025	269	5	discussion	discussion	VERB
ejpam-6025	269	6	the	the	DET
ejpam-6025	269	7	information	information	NOUN
ejpam-6025	269	8	in	in	ADP
ejpam-6025	269	9	question	question	NOUN
ejpam-6025	269	10	aggregates	aggregate	NOUN
ejpam-6025	269	11	daily	daily	ADJ
ejpam-6025	269	12	historical	historical	ADJ
ejpam-6025	269	13	prices	price	NOUN
ejpam-6025	269	14	of	of	ADP
ejpam-6025	269	15	assets	asset	NOUN
ejpam-6025	269	16	from	from	ADP
ejpam-6025	269	17	various	various	ADJ
ejpam-6025	269	18	categories.we	categories.we	NOUN
ejpam-6025	269	19	,	,	PUNCT
ejpam-6025	269	20	then	then	ADV
ejpam-6025	269	21	examine	examine	VERB
ejpam-6025	269	22	a	a	DET
ejpam-6025	269	23	portfolio	portfolio	NOUN
ejpam-6025	269	24	composed	compose	VERB
ejpam-6025	269	25	of	of	ADP
ejpam-6025	269	26	21	21	NUM
ejpam-6025	269	27	financial	financial	ADJ
ejpam-6025	269	28	assets	asset	NOUN
ejpam-6025	269	29	from	from	ADP
ejpam-6025	269	30	different	different	ADJ
ejpam-6025	269	31	stock	stock	NOUN
ejpam-6025	269	32	exchanges	exchange	NOUN
ejpam-6025	269	33	,	,	PUNCT
ejpam-6025	269	34	acquired	acquire	VERB
ejpam-6025	269	35	daily	daily	ADV
ejpam-6025	269	36	between	between	ADP
ejpam-6025	269	37	01/01/2018	01/01/2018	NOUN
ejpam-6025	269	38	and	and	CCONJ
ejpam-6025	269	39	01/01/2024	01/01/2024	NUM
ejpam-6025	269	40	.	.	PUNCT
ejpam-6025	270	1	after	after	ADP
ejpam-6025	270	2	applying	apply	VERB
ejpam-6025	270	3	the	the	DET
ejpam-6025	270	4	procedure	procedure	NOUN
ejpam-6025	270	5	described	describe	VERB
ejpam-6025	270	6	above	above	ADV
ejpam-6025	270	7	,	,	PUNCT
ejpam-6025	270	8	we	we	PRON
ejpam-6025	270	9	obtain	obtain	VERB
ejpam-6025	270	10	the	the	DET
ejpam-6025	270	11	results	result	NOUN
ejpam-6025	270	12	of	of	ADP
ejpam-6025	270	13	the	the	DET
ejpam-6025	270	14	selected	select	VERB
ejpam-6025	270	15	assets	asset	NOUN
ejpam-6025	270	16	’	'	PUNCT
ejpam-6025	270	17	msft	msft	NOUN
ejpam-6025	270	18	’	'	PUNCT
ejpam-6025	270	19	,	,	PUNCT
ejpam-6025	270	20	’	'	PUNCT
ejpam-6025	270	21	pfe	pfe	PROPN
ejpam-6025	270	22	’	'	PUNCT
ejpam-6025	270	23	,	,	PUNCT
ejpam-6025	270	24	’	'	PUNCT
ejpam-6025	270	25	v	v	ADP
ejpam-6025	270	26	’	'	PUNCT
ejpam-6025	270	27	,	,	PUNCT
ejpam-6025	270	28	’	'	PUNCT
ejpam-6025	270	29	mrk	mrk	PROPN
ejpam-6025	270	30	’	'	PUNCT
ejpam-6025	270	31	,	,	PUNCT
ejpam-6025	270	32	’	'	PUNCT
ejpam-6025	270	33	aapl	aapl	NOUN
ejpam-6025	270	34	’	'	PUNCT
ejpam-6025	270	35	,	,	PUNCT
ejpam-6025	270	36	’	'	PUNCT
ejpam-6025	270	37	jnj	jnj	PROPN
ejpam-6025	270	38	’	'	PUNCT
ejpam-6025	270	39	,	,	PUNCT
ejpam-6025	270	40	’	'	PUNCT
ejpam-6025	270	41	ma	ma	PROPN
ejpam-6025	270	42	’	'	PUNCT
ejpam-6025	270	43	,	,	PUNCT
ejpam-6025	270	44	’	'	PUNCT
ejpam-6025	270	45	googl	googl	PROPN
ejpam-6025	270	46	’	'	PUNCT
ejpam-6025	270	47	,	,	PUNCT
ejpam-6025	270	48	’	'	PUNCT
ejpam-6025	270	49	t	t	PROPN
ejpam-6025	270	50	’	'	PUNCT
ejpam-6025	270	51	,	,	PUNCT
ejpam-6025	270	52	and	and	CCONJ
ejpam-6025	270	53	’	'	PUNCT
ejpam-6025	270	54	unh	unh	PROPN
ejpam-6025	270	55	’	'	PUNCT
ejpam-6025	270	56	.	.	PUNCT
ejpam-6025	271	1	illustrated	illustrate	VERB
ejpam-6025	271	2	in	in	ADP
ejpam-6025	271	3	the	the	DET
ejpam-6025	271	4	following	follow	VERB
ejpam-6025	271	5	figures	figure	NOUN
ejpam-6025	271	6	:	:	PUNCT
ejpam-6025	271	7	figure	figure	VERB
ejpam-6025	271	8	6	6	NUM
ejpam-6025	271	9	:	:	PUNCT
ejpam-6025	271	10	result	result	PROPN
ejpam-6025	271	11	ch	ch	NOUN
ejpam-6025	271	12	.	.	PUNCT
ejpam-6025	272	1	ahmed	ahmed	PROPN
ejpam-6025	272	2	baba	baba	PROPN
ejpam-6025	272	3	,	,	PUNCT
ejpam-6025	272	4	a.	a.	PROPN
ejpam-6025	272	5	ka	ka	PROPN
ejpam-6025	272	6	dionque	dionque	PROPN
ejpam-6025	272	7	/	/	SYM
ejpam-6025	272	8	eur	eur	PROPN
ejpam-6025	272	9	.	.	PUNCT
ejpam-6025	273	1	j.	j.	PROPN
ejpam-6025	273	2	pure	pure	PROPN
ejpam-6025	273	3	appl	appl	PROPN
ejpam-6025	273	4	.	.	PROPN
ejpam-6025	273	5	math	math	PROPN
ejpam-6025	273	6	,	,	PUNCT
ejpam-6025	273	7	18	18	NUM
ejpam-6025	273	8	(	(	PUNCT
ejpam-6025	273	9	3	3	NUM
ejpam-6025	273	10	)	)	PUNCT
ejpam-6025	273	11	(	(	PUNCT
ejpam-6025	273	12	2025	2025	NUM
ejpam-6025	273	13	)	)	PUNCT
ejpam-6025	273	14	,	,	PUNCT
ejpam-6025	273	15	6025	6025	NUM
ejpam-6025	273	16	16	16	NUM
ejpam-6025	273	17	of	of	ADP
ejpam-6025	273	18	19	19	NUM
ejpam-6025	273	19	interpretation	interpretation	NOUN
ejpam-6025	273	20	of	of	ADP
ejpam-6025	273	21	portfolio	portfolio	NOUN
ejpam-6025	273	22	optimization	optimization	NOUN
ejpam-6025	273	23	results	result	NOUN
ejpam-6025	273	24	figure	figure	VERB
ejpam-6025	273	25	6	6	NUM
ejpam-6025	273	26	provides	provide	VERB
ejpam-6025	273	27	the	the	DET
ejpam-6025	273	28	interpretation	interpretation	NOUN
ejpam-6025	273	29	of	of	ADP
ejpam-6025	273	30	portfolio	portfolio	NOUN
ejpam-6025	273	31	optimization	optimization	NOUN
ejpam-6025	273	32	results	result	NOUN
ejpam-6025	273	33	.	.	PUNCT
ejpam-6025	274	1	the	the	DET
ejpam-6025	274	2	dotted	dotted	ADJ
ejpam-6025	274	3	and	and	CCONJ
ejpam-6025	274	4	continuous	continuous	ADJ
ejpam-6025	274	5	lines	line	NOUN
ejpam-6025	274	6	illustrated	illustrate	VERB
ejpam-6025	274	7	the	the	DET
ejpam-6025	274	8	optimal	optimal	ADJ
ejpam-6025	274	9	portfolio	portfolio	NOUN
ejpam-6025	274	10	values	value	NOUN
ejpam-6025	274	11	for	for	ADP
ejpam-6025	274	12	the	the	DET
ejpam-6025	274	13	ga	ga	PROPN
ejpam-6025	274	14	with	with	ADP
ejpam-6025	274	15	best	good	ADJ
ejpam-6025	274	16	weight	weight	NOUN
ejpam-6025	274	17	129.7354	129.7354	NUM
ejpam-6025	274	18	expected	expect	VERB
ejpam-6025	274	19	and	and	CCONJ
ejpam-6025	274	20	174.9116	174.9116	NUM
ejpam-6025	274	21	respectively	respectively	ADV
ejpam-6025	274	22	while	while	SCONJ
ejpam-6025	274	23	the	the	DET
ejpam-6025	274	24	circle	circle	NOUN
ejpam-6025	274	25	represents	represent	VERB
ejpam-6025	274	26	the	the	DET
ejpam-6025	274	27	initial	initial	ADJ
ejpam-6025	274	28	portfolio	portfolio	NOUN
ejpam-6025	274	29	value	value	NOUN
ejpam-6025	274	30	.	.	PUNCT
ejpam-6025	275	1	•	•	NUM
ejpam-6025	275	2	initial	initial	ADJ
ejpam-6025	275	3	portfolio	portfolio	NOUN
ejpam-6025	275	4	value	value	NOUN
ejpam-6025	275	5	:	:	PUNCT
ejpam-6025	275	6	93.0753	93.0753	NUM
ejpam-6025	275	7	this	this	PRON
ejpam-6025	275	8	represents	represent	VERB
ejpam-6025	275	9	the	the	DET
ejpam-6025	275	10	initial	initial	ADJ
ejpam-6025	275	11	value	value	NOUN
ejpam-6025	275	12	of	of	ADP
ejpam-6025	275	13	the	the	DET
ejpam-6025	275	14	portfolio	portfolio	NOUN
ejpam-6025	275	15	before	before	ADP
ejpam-6025	275	16	any	any	DET
ejpam-6025	275	17	optimization	optimization	NOUN
ejpam-6025	275	18	.	.	PUNCT
ejpam-6025	276	1	it	it	PRON
ejpam-6025	276	2	is	be	AUX
ejpam-6025	276	3	assumed	assume	VERB
ejpam-6025	276	4	here	here	ADV
ejpam-6025	276	5	that	that	SCONJ
ejpam-6025	276	6	the	the	DET
ejpam-6025	276	7	initial	initial	ADJ
ejpam-6025	276	8	weights	weight	NOUN
ejpam-6025	276	9	were	be	AUX
ejpam-6025	276	10	assigned	assign	VERB
ejpam-6025	276	11	arbitrarily	arbitrarily	ADV
ejpam-6025	276	12	or	or	CCONJ
ejpam-6025	276	13	equally	equally	ADV
ejpam-6025	276	14	.	.	PUNCT
ejpam-6025	277	1	•	•	NUM
ejpam-6025	277	2	optimal	optimal	ADJ
ejpam-6025	277	3	portfolio	portfolio	NOUN
ejpam-6025	277	4	value	value	NOUN
ejpam-6025	277	5	1	1	NUM
ejpam-6025	277	6	(	(	PUNCT
ejpam-6025	277	7	alg	alg	PROPN
ejpam-6025	277	8	1	1	NUM
ejpam-6025	277	9	):	):	PUNCT
ejpam-6025	277	10	129.7354	129.7354	NUM
ejpam-6025	277	11	•	•	NUM
ejpam-6025	277	12	optimal	optimal	ADJ
ejpam-6025	277	13	portfolio	portfolio	NOUN
ejpam-6025	277	14	value	value	NOUN
ejpam-6025	277	15	2	2	NUM
ejpam-6025	277	16	(	(	PUNCT
ejpam-6025	277	17	alg	alg	PROPN
ejpam-6025	277	18	2	2	NUM
ejpam-6025	277	19	):	):	PUNCT
ejpam-6025	277	20	174.9116	174.9116	NUM
ejpam-6025	277	21	these	these	PRON
ejpam-6025	277	22	are	be	AUX
ejpam-6025	277	23	two	two	NUM
ejpam-6025	277	24	variants	variant	NOUN
ejpam-6025	277	25	of	of	ADP
ejpam-6025	277	26	optimized	optimize	VERB
ejpam-6025	277	27	portfolios	portfolio	NOUN
ejpam-6025	277	28	using	use	VERB
ejpam-6025	277	29	the	the	DET
ejpam-6025	277	30	genetic	genetic	ADJ
ejpam-6025	277	31	algorithm	algorithm	NOUN
ejpam-6025	277	32	:	:	PUNCT
ejpam-6025	277	33	•	•	NUM
ejpam-6025	277	34	alg	alg	PROPN
ejpam-6025	277	35	1	1	NUM
ejpam-6025	277	36	shows	show	VERB
ejpam-6025	277	37	an	an	DET
ejpam-6025	277	38	improvement	improvement	NOUN
ejpam-6025	277	39	of	of	ADP
ejpam-6025	277	40	approximately	approximately	ADV
ejpam-6025	277	41	129.7354−	129.7354−	NUM
ejpam-6025	277	42	93.0753	93.0753	NUM
ejpam-6025	277	43	93.0753	93.0753	NUM
ejpam-6025	278	1	≈	≈	PROPN
ejpam-6025	278	2	39.3	39.3	NUM
ejpam-6025	278	3	%	%	NOUN
ejpam-6025	278	4	•	•	NUM
ejpam-6025	278	5	alg	alg	PROPN
ejpam-6025	278	6	2	2	NUM
ejpam-6025	278	7	performs	perform	VERB
ejpam-6025	278	8	even	even	ADV
ejpam-6025	278	9	better	well	ADV
ejpam-6025	278	10	,	,	PUNCT
ejpam-6025	278	11	with	with	ADP
ejpam-6025	278	12	a	a	DET
ejpam-6025	278	13	gain	gain	NOUN
ejpam-6025	278	14	of	of	ADP
ejpam-6025	278	15	about	about	ADP
ejpam-6025	278	16	174.9116−	174.9116−	NUM
ejpam-6025	278	17	93.0753	93.0753	NUM
ejpam-6025	278	18	93.0753	93.0753	NUM
ejpam-6025	279	1	≈	≈	PROPN
ejpam-6025	279	2	87.9	87.9	NUM
ejpam-6025	279	3	%	%	NOUN
ejpam-6025	279	4	this	this	PRON
ejpam-6025	279	5	suggests	suggest	VERB
ejpam-6025	279	6	that	that	SCONJ
ejpam-6025	279	7	alg	alg	PROPN
ejpam-6025	279	8	2	2	NUM
ejpam-6025	279	9	,	,	PUNCT
ejpam-6025	279	10	which	which	PRON
ejpam-6025	279	11	relies	rely	VERB
ejpam-6025	279	12	on	on	ADP
ejpam-6025	279	13	var	var	NOUN
ejpam-6025	279	14	,	,	PUNCT
ejpam-6025	279	15	is	be	AUX
ejpam-6025	279	16	the	the	DET
ejpam-6025	279	17	most	most	ADV
ejpam-6025	279	18	effective	effective	ADJ
ejpam-6025	279	19	.	.	PUNCT
ejpam-6025	280	1	•	•	NUM
ejpam-6025	281	1	[	[	X
ejpam-6025	281	2	pso	pso	NOUN
ejpam-6025	281	3	]	]	X
ejpam-6025	281	4	optimal	optimal	ADJ
ejpam-6025	281	5	portfolio	portfolio	NOUN
ejpam-6025	281	6	value	value	NOUN
ejpam-6025	281	7	:	:	PUNCT
ejpam-6025	281	8	117.7848	117.7848	NUM
ejpam-6025	281	9	the	the	DET
ejpam-6025	281	10	portfolio	portfolio	NOUN
ejpam-6025	281	11	optimized	optimize	VERB
ejpam-6025	281	12	using	use	VERB
ejpam-6025	281	13	the	the	DET
ejpam-6025	281	14	pso	pso	NOUN
ejpam-6025	281	15	algorithm	algorithm	NOUN
ejpam-6025	281	16	shows	show	VERB
ejpam-6025	281	17	a	a	DET
ejpam-6025	281	18	gain	gain	NOUN
ejpam-6025	281	19	of	of	ADP
ejpam-6025	281	20	:	:	PUNCT
ejpam-6025	281	21	117.7848−	117.7848−	NUM
ejpam-6025	281	22	93.0753	93.0753	NUM
ejpam-6025	281	23	93.0753	93.0753	NUM
ejpam-6025	282	1	≈	≈	PROPN
ejpam-6025	282	2	26.5	26.5	NUM
ejpam-6025	282	3	%	%	NOUN
ejpam-6025	282	4	performance	performance	NOUN
ejpam-6025	282	5	summary	summary	NOUN
ejpam-6025	282	6	comparison	comparison	NOUN
ejpam-6025	282	7	method	method	NOUN
ejpam-6025	282	8	optimized	optimize	VERB
ejpam-6025	282	9	value	value	NOUN
ejpam-6025	282	10	gain	gain	NOUN
ejpam-6025	282	11	(	(	PUNCT
ejpam-6025	282	12	%	%	INTJ
ejpam-6025	282	13	)	)	PUNCT
ejpam-6025	282	14	initial	initial	ADJ
ejpam-6025	282	15	portfolio	portfolio	NOUN
ejpam-6025	282	16	93.0753	93.0753	NUM
ejpam-6025	282	17	—	—	PUNCT
ejpam-6025	282	18	ga	ga	PROPN
ejpam-6025	282	19	1	1	NUM
ejpam-6025	282	20	129.7354	129.7354	NUM
ejpam-6025	282	21	+39.3	+39.3	NOUN
ejpam-6025	282	22	%	%	NOUN
ejpam-6025	282	23	ga	ga	PROPN
ejpam-6025	282	24	2	2	NUM
ejpam-6025	282	25	174.9116	174.9116	NUM
ejpam-6025	282	26	+87.9	+87.9	NOUN
ejpam-6025	282	27	%	%	NOUN
ejpam-6025	282	28	pso	pso	NOUN
ejpam-6025	282	29	117.7848	117.7848	NUM
ejpam-6025	282	30	+26.5	+26.5	NUM
ejpam-6025	282	31	%	%	NOUN
ejpam-6025	282	32	table	table	NOUN
ejpam-6025	282	33	1	1	NUM
ejpam-6025	282	34	presents	present	NOUN
ejpam-6025	282	35	results	result	NOUN
ejpam-6025	282	36	from	from	ADP
ejpam-6025	282	37	the	the	DET
ejpam-6025	282	38	three	three	NUM
ejpam-6025	282	39	optimization	optimization	NOUN
ejpam-6025	282	40	algorithms	algorithm	NOUN
ejpam-6025	282	41	in	in	ADP
ejpam-6025	282	42	terms	term	NOUN
ejpam-6025	282	43	of	of	ADP
ejpam-6025	282	44	standard	standard	ADJ
ejpam-6025	282	45	value	value	NOUN
ejpam-6025	282	46	and	and	CCONJ
ejpam-6025	282	47	gain	gain	NOUN
ejpam-6025	282	48	.	.	PUNCT
ejpam-6025	283	1	among	among	ADP
ejpam-6025	283	2	them	they	PRON
ejpam-6025	283	3	,	,	PUNCT
ejpam-6025	283	4	genetic	genetic	ADJ
ejpam-6025	283	5	algorithm	algorithm	NOUN
ejpam-6025	283	6	with	with	ADP
ejpam-6025	283	7	best	good	ADJ
ejpam-6025	283	8	weight	weight	NOUN
ejpam-6025	283	9	174.9116	174.9116	NUM
ejpam-6025	283	10	provides	provide	VERB
ejpam-6025	283	11	an	an	DET
ejpam-6025	283	12	interesting	interesting	ADJ
ejpam-6025	283	13	performance	performance	NOUN
ejpam-6025	283	14	with	with	ADP
ejpam-6025	283	15	the	the	DET
ejpam-6025	283	16	best	good	ADJ
ejpam-6025	283	17	final	final	ADJ
ejpam-6025	283	18	portfolio	portfolio	NOUN
ejpam-6025	283	19	value	value	NOUN
ejpam-6025	283	20	rate	rate	NOUN
ejpam-6025	283	21	gain	gain	NOUN
ejpam-6025	283	22	:	:	PUNCT
ejpam-6025	283	23	87.9despite	87.9despite	NUM
ejpam-6025	283	24	the	the	DET
ejpam-6025	283	25	ch	ch	NOUN
ejpam-6025	283	26	.	.	PUNCT
ejpam-6025	284	1	ahmed	ahmed	PROPN
ejpam-6025	284	2	baba	baba	PROPN
ejpam-6025	284	3	,	,	PUNCT
ejpam-6025	284	4	a.	a.	PROPN
ejpam-6025	284	5	ka	ka	PROPN
ejpam-6025	284	6	dionque	dionque	PROPN
ejpam-6025	284	7	/	/	SYM
ejpam-6025	284	8	eur	eur	PROPN
ejpam-6025	284	9	.	.	PUNCT
ejpam-6025	285	1	j.	j.	PROPN
ejpam-6025	285	2	pure	pure	PROPN
ejpam-6025	285	3	appl	appl	PROPN
ejpam-6025	285	4	.	.	PROPN
ejpam-6025	285	5	math	math	PROPN
ejpam-6025	285	6	,	,	PUNCT
ejpam-6025	285	7	18	18	NUM
ejpam-6025	285	8	(	(	PUNCT
ejpam-6025	285	9	3	3	NUM
ejpam-6025	285	10	)	)	PUNCT
ejpam-6025	285	11	(	(	PUNCT
ejpam-6025	285	12	2025	2025	NUM
ejpam-6025	285	13	)	)	PUNCT
ejpam-6025	285	14	,	,	PUNCT
ejpam-6025	285	15	6025	6025	NUM
ejpam-6025	285	16	17	17	NUM
ejpam-6025	285	17	of	of	ADP
ejpam-6025	285	18	19	19	NUM
ejpam-6025	285	19	promising	promising	ADJ
ejpam-6025	285	20	results	result	NOUN
ejpam-6025	285	21	,	,	PUNCT
ejpam-6025	285	22	our	our	PRON
ejpam-6025	285	23	work	work	NOUN
ejpam-6025	285	24	has	have	VERB
ejpam-6025	285	25	certain	certain	ADJ
ejpam-6025	285	26	limitations	limitation	NOUN
ejpam-6025	285	27	,	,	PUNCT
ejpam-6025	285	28	the	the	DET
ejpam-6025	285	29	absence	absence	NOUN
ejpam-6025	285	30	of	of	ADP
ejpam-6025	285	31	comparison	comparison	NOUN
ejpam-6025	285	32	of	of	ADP
ejpam-6025	285	33	our	our	PRON
ejpam-6025	285	34	results	result	NOUN
ejpam-6025	285	35	with	with	ADP
ejpam-6025	285	36	other	other	ADJ
ejpam-6025	285	37	methods	method	NOUN
ejpam-6025	285	38	.	.	PUNCT
ejpam-6025	286	1	in	in	ADP
ejpam-6025	286	2	addition	addition	NOUN
ejpam-6025	286	3	,	,	PUNCT
ejpam-6025	286	4	more	more	ADJ
ejpam-6025	286	5	optimization	optimization	NOUN
ejpam-6025	286	6	algorithms	algorithm	NOUN
ejpam-6025	286	7	are	be	AUX
ejpam-6025	286	8	considered	consider	VERB
ejpam-6025	286	9	in	in	ADP
ejpam-6025	286	10	this	this	DET
ejpam-6025	286	11	study	study	NOUN
ejpam-6025	286	12	;	;	PUNCT
ejpam-6025	286	13	we	we	PRON
ejpam-6025	286	14	plan	plan	VERB
ejpam-6025	286	15	to	to	PART
ejpam-6025	286	16	compare	compare	VERB
ejpam-6025	286	17	with	with	ADP
ejpam-6025	286	18	others	other	NOUN
ejpam-6025	286	19	like	like	ADP
ejpam-6025	286	20	differential	differential	NOUN
ejpam-6025	286	21	evolution	evolution	NOUN
ejpam-6025	286	22	(	(	PUNCT
ejpam-6025	286	23	de	de	NOUN
ejpam-6025	286	24	)	)	PUNCT
ejpam-6025	286	25	.	.	PUNCT
ejpam-6025	287	1	in	in	ADP
ejpam-6025	287	2	risk	risk	NOUN
ejpam-6025	287	3	management	management	NOUN
ejpam-6025	287	4	,	,	PUNCT
ejpam-6025	287	5	optimization	optimization	NOUN
ejpam-6025	287	6	algorithms	algorithm	NOUN
ejpam-6025	287	7	are	be	AUX
ejpam-6025	287	8	often	often	ADV
ejpam-6025	287	9	investigated	investigate	VERB
ejpam-6025	287	10	to	to	PART
ejpam-6025	287	11	determine	determine	VERB
ejpam-6025	287	12	under	under	ADP
ejpam-6025	287	13	certain	certain	ADJ
ejpam-6025	287	14	risk	risk	NOUN
ejpam-6025	287	15	measure	measure	NOUN
ejpam-6025	287	16	the	the	DET
ejpam-6025	287	17	best	good	ADJ
ejpam-6025	287	18	investment	investment	NOUN
ejpam-6025	287	19	.	.	PUNCT
ejpam-6025	288	1	note	note	VERB
ejpam-6025	288	2	that	that	SCONJ
ejpam-6025	288	3	genetic	genetic	ADJ
ejpam-6025	288	4	algorithms	algorithm	NOUN
ejpam-6025	288	5	are	be	AUX
ejpam-6025	288	6	well	well	ADV
ejpam-6025	288	7	used	use	VERB
ejpam-6025	288	8	.	.	PUNCT
ejpam-6025	289	1	in	in	ADP
ejpam-6025	289	2	this	this	DET
ejpam-6025	289	3	work	work	NOUN
ejpam-6025	289	4	,	,	PUNCT
ejpam-6025	289	5	different	different	ADJ
ejpam-6025	289	6	algorithms	algorithm	NOUN
ejpam-6025	289	7	are	be	AUX
ejpam-6025	289	8	considered	consider	VERB
ejpam-6025	289	9	to	to	PART
ejpam-6025	289	10	compare	compare	VERB
ejpam-6025	289	11	their	their	PRON
ejpam-6025	289	12	performance	performance	NOUN
ejpam-6025	289	13	using	use	VERB
ejpam-6025	289	14	the	the	DET
ejpam-6025	289	15	two	two	NUM
ejpam-6025	289	16	risk	risk	NOUN
ejpam-6025	289	17	measures	measure	NOUN
ejpam-6025	289	18	(	(	PUNCT
ejpam-6025	289	19	variance	variance	NOUN
ejpam-6025	289	20	and	and	CCONJ
ejpam-6025	289	21	var)and	var)and	ADJ
ejpam-6025	289	22	different	different	ADJ
ejpam-6025	289	23	stock	stock	NOUN
ejpam-6025	289	24	exchange	exchange	NOUN
ejpam-6025	289	25	data	datum	NOUN
ejpam-6025	289	26	.	.	PUNCT
ejpam-6025	290	1	the	the	DET
ejpam-6025	290	2	genetic	genetic	ADJ
ejpam-6025	290	3	algorithm	algorithm	NOUN
ejpam-6025	290	4	performs	perform	VERB
ejpam-6025	290	5	better	well	ADV
ejpam-6025	290	6	compared	compare	VERB
ejpam-6025	290	7	(	(	PUNCT
ejpam-6025	290	8	specially	specially	ADV
ejpam-6025	290	9	alg	alg	PROPN
ejpam-6025	290	10	2	2	NUM
ejpam-6025	290	11	)	)	PUNCT
ejpam-6025	290	12	to	to	ADP
ejpam-6025	290	13	the	the	DET
ejpam-6025	290	14	particle	particle	NOUN
ejpam-6025	290	15	swarm	swarm	NOUN
ejpam-6025	290	16	.	.	PUNCT
ejpam-6025	291	1	this	this	DET
ejpam-6025	291	2	result	result	NOUN
ejpam-6025	291	3	is	be	AUX
ejpam-6025	291	4	consistent	consistent	ADJ
ejpam-6025	291	5	with	with	ADP
ejpam-6025	291	6	some	some	DET
ejpam-6025	291	7	previous	previous	ADJ
ejpam-6025	291	8	studies	study	NOUN
ejpam-6025	291	9	like	like	ADP
ejpam-6025	291	10	[	[	X
ejpam-6025	291	11	24	24	NUM
ejpam-6025	291	12	,	,	PUNCT
ejpam-6025	291	13	25	25	NUM
ejpam-6025	291	14	]	]	PUNCT
ejpam-6025	291	15	.	.	PUNCT
ejpam-6025	292	1	conclusion	conclusion	NOUN
ejpam-6025	292	2	in	in	ADP
ejpam-6025	292	3	this	this	DET
ejpam-6025	292	4	article	article	NOUN
ejpam-6025	292	5	,	,	PUNCT
ejpam-6025	292	6	we	we	PRON
ejpam-6025	292	7	presented	present	VERB
ejpam-6025	292	8	an	an	DET
ejpam-6025	292	9	approach	approach	NOUN
ejpam-6025	292	10	for	for	ADP
ejpam-6025	292	11	the	the	DET
ejpam-6025	292	12	optimal	optimal	ADJ
ejpam-6025	292	13	selection	selection	NOUN
ejpam-6025	292	14	of	of	ADP
ejpam-6025	292	15	a	a	DET
ejpam-6025	292	16	mining	mining	NOUN
ejpam-6025	292	17	portfolio	portfolio	NOUN
ejpam-6025	292	18	.	.	PUNCT
ejpam-6025	293	1	this	this	DET
ejpam-6025	293	2	approach	approach	NOUN
ejpam-6025	293	3	first	first	ADV
ejpam-6025	293	4	involves	involve	VERB
ejpam-6025	293	5	a	a	DET
ejpam-6025	293	6	detailed	detailed	ADJ
ejpam-6025	293	7	description	description	NOUN
ejpam-6025	293	8	of	of	ADP
ejpam-6025	293	9	the	the	DET
ejpam-6025	293	10	financial	financial	ADJ
ejpam-6025	293	11	market	market	NOUN
ejpam-6025	293	12	by	by	ADP
ejpam-6025	293	13	segmenting	segment	VERB
ejpam-6025	293	14	the	the	DET
ejpam-6025	293	15	data	datum	NOUN
ejpam-6025	293	16	in	in	ADP
ejpam-6025	293	17	order	order	NOUN
ejpam-6025	293	18	to	to	PART
ejpam-6025	293	19	distinguish	distinguish	VERB
ejpam-6025	293	20	the	the	DET
ejpam-6025	293	21	regimes	regime	NOUN
ejpam-6025	293	22	of	of	ADP
ejpam-6025	293	23	each	each	DET
ejpam-6025	293	24	financial	financial	ADJ
ejpam-6025	293	25	asset	asset	NOUN
ejpam-6025	293	26	,	,	PUNCT
ejpam-6025	293	27	using	use	VERB
ejpam-6025	293	28	a	a	DET
ejpam-6025	293	29	cart	cart	NOUN
ejpam-6025	293	30	-	-	PUNCT
ejpam-6025	293	31	based	base	VERB
ejpam-6025	293	32	algorithm	algorithm	NOUN
ejpam-6025	293	33	.	.	PUNCT
ejpam-6025	294	1	then	then	ADV
ejpam-6025	294	2	,	,	PUNCT
ejpam-6025	294	3	we	we	PRON
ejpam-6025	294	4	select	select	VERB
ejpam-6025	294	5	the	the	DET
ejpam-6025	294	6	assets	asset	NOUN
ejpam-6025	294	7	corresponding	correspond	VERB
ejpam-6025	294	8	to	to	ADP
ejpam-6025	294	9	the	the	DET
ejpam-6025	294	10	identified	identify	VERB
ejpam-6025	294	11	market	market	NOUN
ejpam-6025	294	12	regime	regime	NOUN
ejpam-6025	294	13	called	call	VERB
ejpam-6025	294	14	portfolio	portfolio	NOUN
ejpam-6025	294	15	—	—	PUNCT
ejpam-6025	294	16	extraction	extraction	NOUN
ejpam-6025	294	17	using	use	VERB
ejpam-6025	294	18	the	the	DET
ejpam-6025	294	19	algorithm	algorithm	NOUN
ejpam-6025	294	20	we	we	PRON
ejpam-6025	294	21	developed	develop	VERB
ejpam-6025	294	22	.	.	PUNCT
ejpam-6025	295	1	next	next	ADV
ejpam-6025	295	2	,	,	PUNCT
ejpam-6025	295	3	we	we	PRON
ejpam-6025	295	4	apply	apply	VERB
ejpam-6025	295	5	dynamic	dynamic	ADJ
ejpam-6025	295	6	optimization	optimization	NOUN
ejpam-6025	295	7	algorithms	algorithm	NOUN
ejpam-6025	295	8	to	to	ADP
ejpam-6025	295	9	this	this	DET
ejpam-6025	295	10	mining	mining	NOUN
ejpam-6025	295	11	portfolio	portfolio	NOUN
ejpam-6025	295	12	,	,	PUNCT
ejpam-6025	295	13	namely	namely	ADV
ejpam-6025	295	14	the	the	DET
ejpam-6025	295	15	genetic	genetic	ADJ
ejpam-6025	295	16	algorithm	algorithm	NOUN
ejpam-6025	295	17	,	,	PUNCT
ejpam-6025	295	18	which	which	PRON
ejpam-6025	295	19	is	be	AUX
ejpam-6025	295	20	divided	divide	VERB
ejpam-6025	295	21	into	into	ADP
ejpam-6025	295	22	two	two	NUM
ejpam-6025	295	23	stages	stage	NOUN
ejpam-6025	295	24	:	:	PUNCT
ejpam-6025	295	25	the	the	DET
ejpam-6025	295	26	first	first	ADJ
ejpam-6025	295	27	stage	stage	NOUN
ejpam-6025	295	28	aims	aim	VERB
ejpam-6025	295	29	to	to	PART
ejpam-6025	295	30	maximize	maximize	VERB
ejpam-6025	295	31	a	a	DET
ejpam-6025	295	32	first	first	ADJ
ejpam-6025	295	33	ratio	ratio	NOUN
ejpam-6025	295	34	under	under	ADP
ejpam-6025	295	35	constraints	constraint	NOUN
ejpam-6025	295	36	,	,	PUNCT
ejpam-6025	295	37	while	while	SCONJ
ejpam-6025	295	38	the	the	DET
ejpam-6025	295	39	second	second	ADJ
ejpam-6025	295	40	seeks	seek	VERB
ejpam-6025	295	41	to	to	PART
ejpam-6025	295	42	maximize	maximize	VERB
ejpam-6025	295	43	a	a	DET
ejpam-6025	295	44	second	second	ADJ
ejpam-6025	295	45	ratio	ratio	NOUN
ejpam-6025	295	46	.	.	PUNCT
ejpam-6025	296	1	we	we	PRON
ejpam-6025	296	2	also	also	ADV
ejpam-6025	296	3	apply	apply	VERB
ejpam-6025	296	4	the	the	DET
ejpam-6025	296	5	particle	particle	NOUN
ejpam-6025	296	6	swarm	swarm	NOUN
ejpam-6025	296	7	optimization	optimization	NOUN
ejpam-6025	296	8	(	(	PUNCT
ejpam-6025	296	9	pso	pso	NOUN
ejpam-6025	296	10	)	)	PUNCT
ejpam-6025	296	11	algorithm	algorithm	NOUN
ejpam-6025	296	12	for	for	ADP
ejpam-6025	296	13	comparison	comparison	NOUN
ejpam-6025	296	14	.	.	PUNCT
ejpam-6025	297	1	the	the	DET
ejpam-6025	297	2	results	result	NOUN
ejpam-6025	297	3	obtained	obtain	VERB
ejpam-6025	297	4	are	be	AUX
ejpam-6025	297	5	generally	generally	ADV
ejpam-6025	297	6	satisfactory	satisfactory	ADJ
ejpam-6025	297	7	,	,	PUNCT
ejpam-6025	297	8	demonstrating	demonstrate	VERB
ejpam-6025	297	9	that	that	SCONJ
ejpam-6025	297	10	optimization	optimization	NOUN
ejpam-6025	297	11	using	use	VERB
ejpam-6025	297	12	the	the	DET
ejpam-6025	297	13	genetic	genetic	ADJ
ejpam-6025	297	14	algorithm	algorithm	NOUN
ejpam-6025	297	15	is	be	AUX
ejpam-6025	297	16	highly	highly	ADV
ejpam-6025	297	17	effective	effective	ADJ
ejpam-6025	297	18	,	,	PUNCT
ejpam-6025	297	19	and	and	CCONJ
ejpam-6025	297	20	also	also	ADV
ejpam-6025	297	21	confirming	confirm	VERB
ejpam-6025	297	22	that	that	SCONJ
ejpam-6025	297	23	risk	risk	NOUN
ejpam-6025	297	24	measurement	measurement	NOUN
ejpam-6025	297	25	via	via	ADP
ejpam-6025	297	26	value	value	NOUN
ejpam-6025	297	27	-	-	PUNCT
ejpam-6025	297	28	at	at	ADP
ejpam-6025	297	29	-	-	PUNCT
ejpam-6025	297	30	risk	risk	NOUN
ejpam-6025	297	31	(	(	PUNCT
ejpam-6025	297	32	var	var	NOUN
ejpam-6025	297	33	)	)	PUNCT
ejpam-6025	297	34	is	be	AUX
ejpam-6025	297	35	superior	superior	ADJ
ejpam-6025	297	36	to	to	ADP
ejpam-6025	297	37	that	that	PRON
ejpam-6025	297	38	via	via	ADP
ejpam-6025	297	39	variance	variance	NOUN
ejpam-6025	297	40	.	.	PUNCT
ejpam-6025	298	1	moreover	moreover	ADV
ejpam-6025	298	2	,	,	PUNCT
ejpam-6025	298	3	the	the	DET
ejpam-6025	298	4	genetic	genetic	ADJ
ejpam-6025	298	5	algorithm	algorithm	NOUN
ejpam-6025	298	6	outperforms	outperform	VERB
ejpam-6025	298	7	the	the	DET
ejpam-6025	298	8	pso	pso	NOUN
ejpam-6025	298	9	algorithm	algorithm	NOUN
ejpam-6025	298	10	.	.	PUNCT
ejpam-6025	299	1	references	reference	NOUN
ejpam-6025	299	2	[	[	X
ejpam-6025	299	3	1	1	NUM
ejpam-6025	299	4	]	]	PUNCT
ejpam-6025	299	5	w.	w.	PROPN
ejpam-6025	299	6	f.	f.	PROPN
ejpam-6025	299	7	sharpe	sharpe	PROPN
ejpam-6025	299	8	.	.	PUNCT
ejpam-6025	300	1	a	a	DET
ejpam-6025	300	2	linear	linear	ADJ
ejpam-6025	300	3	programming	programming	NOUN
ejpam-6025	300	4	algorithm	algorithm	NOUN
ejpam-6025	300	5	for	for	ADP
ejpam-6025	300	6	mutual	mutual	ADJ
ejpam-6025	300	7	fund	fund	NOUN
ejpam-6025	300	8	portfolio	portfolio	NOUN
ejpam-6025	300	9	selection	selection	NOUN
ejpam-6025	300	10	.	.	PUNCT
ejpam-6025	301	1	management	management	NOUN
ejpam-6025	301	2	science	science	NOUN
ejpam-6025	301	3	,	,	PUNCT
ejpam-6025	301	4	13:499–510	13:499–510	NUM
ejpam-6025	301	5	,	,	PUNCT
ejpam-6025	301	6	1967	1967	NUM
ejpam-6025	301	7	.	.	PUNCT
ejpam-6025	302	1	[	[	X
ejpam-6025	302	2	2	2	X
ejpam-6025	302	3	]	]	PUNCT
ejpam-6025	302	4	b.	b.	PROPN
ejpam-6025	302	5	stone	stone	PROPN
ejpam-6025	302	6	.	.	PUNCT
ejpam-6025	303	1	a	a	DET
ejpam-6025	303	2	linear	linear	ADJ
ejpam-6025	303	3	programming	programming	NOUN
ejpam-6025	303	4	formulation	formulation	NOUN
ejpam-6025	303	5	of	of	ADP
ejpam-6025	303	6	the	the	DET
ejpam-6025	303	7	general	general	ADJ
ejpam-6025	303	8	portfolio	portfolio	NOUN
ejpam-6025	303	9	selection	selection	NOUN
ejpam-6025	303	10	problem	problem	NOUN
ejpam-6025	303	11	.	.	PUNCT
ejpam-6025	304	1	journal	journal	NOUN
ejpam-6025	304	2	of	of	ADP
ejpam-6025	304	3	quantitative	quantitative	ADJ
ejpam-6025	304	4	analysis	analysis	NOUN
ejpam-6025	304	5	,	,	PUNCT
ejpam-6025	304	6	6:107–123	6:107–123	NOUN
ejpam-6025	304	7	,	,	PUNCT
ejpam-6025	304	8	1973	1973	NUM
ejpam-6025	304	9	.	.	PUNCT
ejpam-6025	305	1	[	[	X
ejpam-6025	305	2	3	3	X
ejpam-6025	305	3	]	]	X
ejpam-6025	305	4	h.	h.	PROPN
ejpam-6025	305	5	konno	konno	PROPN
ejpam-6025	305	6	and	and	CCONJ
ejpam-6025	305	7	h.	h.	PROPN
ejpam-6025	305	8	yamazaki	yamazaki	PROPN
ejpam-6025	305	9	.	.	PUNCT
ejpam-6025	306	1	a	a	DET
ejpam-6025	306	2	mean	mean	ADJ
ejpam-6025	306	3	absolute	absolute	ADJ
ejpam-6025	306	4	deviation	deviation	NOUN
ejpam-6025	306	5	portfolio	portfolio	NOUN
ejpam-6025	306	6	optimisation	optimisation	NOUN
ejpam-6025	306	7	model	model	NOUN
ejpam-6025	306	8	and	and	CCONJ
ejpam-6025	306	9	application	application	NOUN
ejpam-6025	306	10	to	to	ADP
ejpam-6025	306	11	tokyo	tokyo	PROPN
ejpam-6025	306	12	stock	stock	NOUN
ejpam-6025	306	13	market	market	NOUN
ejpam-6025	306	14	.	.	PUNCT
ejpam-6025	307	1	management	management	NOUN
ejpam-6025	307	2	science	science	NOUN
ejpam-6025	307	3	,	,	PUNCT
ejpam-6025	307	4	37:519–531	37:519–531	NUM
ejpam-6025	307	5	,	,	PUNCT
ejpam-6025	307	6	1991	1991	NUM
ejpam-6025	307	7	.	.	PUNCT
ejpam-6025	308	1	[	[	X
ejpam-6025	308	2	4	4	X
ejpam-6025	308	3	]	]	PUNCT
ejpam-6025	308	4	m.	m.	NOUN
ejpam-6025	308	5	g.	g.	PROPN
ejpam-6025	308	6	speranza	speranza	PROPN
ejpam-6025	308	7	.	.	PUNCT
ejpam-6025	309	1	linear	linear	ADJ
ejpam-6025	309	2	programming	programming	NOUN
ejpam-6025	309	3	models	model	NOUN
ejpam-6025	309	4	for	for	ADP
ejpam-6025	309	5	portfolio	portfolio	NOUN
ejpam-6025	309	6	optimisation	optimisation	NOUN
ejpam-6025	309	7	.	.	PUNCT
ejpam-6025	310	1	finance	finance	NOUN
ejpam-6025	310	2	,	,	PUNCT
ejpam-6025	310	3	14:107–123	14:107–123	NUM
ejpam-6025	310	4	,	,	PUNCT
ejpam-6025	310	5	1993	1993	NUM
ejpam-6025	310	6	.	.	PUNCT
ejpam-6025	311	1	[	[	X
ejpam-6025	311	2	5	5	X
ejpam-6025	311	3	]	]	PUNCT
ejpam-6025	311	4	h.	h.	PROPN
ejpam-6025	311	5	markowitz	markowitz	PROPN
ejpam-6025	311	6	.	.	PUNCT
ejpam-6025	311	7	portfolio	portfolio	NOUN
ejpam-6025	311	8	selection	selection	NOUN
ejpam-6025	311	9	.	.	PUNCT
ejpam-6025	312	1	journal	journal	PROPN
ejpam-6025	312	2	of	of	ADP
ejpam-6025	312	3	finance	finance	NOUN
ejpam-6025	312	4	,	,	PUNCT
ejpam-6025	312	5	february	february	PROPN
ejpam-6025	312	6	1952	1952	NUM
ejpam-6025	312	7	.	.	PUNCT
ejpam-6025	313	1	[	[	X
ejpam-6025	313	2	6	6	NUM
ejpam-6025	313	3	]	]	X
ejpam-6025	313	4	lorenzo	lorenzo	NOUN
ejpam-6025	313	5	garlappi	garlappi	PROPN
ejpam-6025	313	6	,	,	PUNCT
ejpam-6025	313	7	raman	raman	NOUN
ejpam-6025	313	8	uppal	uppal	NOUN
ejpam-6025	313	9	,	,	PUNCT
ejpam-6025	313	10	and	and	CCONJ
ejpam-6025	313	11	tan	tan	PROPN
ejpam-6025	313	12	wang	wang	PROPN
ejpam-6025	313	13	.	.	PUNCT
ejpam-6025	314	1	portfolio	portfolio	NOUN
ejpam-6025	314	2	selection	selection	NOUN
ejpam-6025	314	3	with	with	ADP
ejpam-6025	314	4	parameter	parameter	NOUN
ejpam-6025	314	5	and	and	CCONJ
ejpam-6025	314	6	model	model	NOUN
ejpam-6025	314	7	uncertainty	uncertainty	NOUN
ejpam-6025	314	8	:	:	PUNCT
ejpam-6025	314	9	a	a	DET
ejpam-6025	314	10	multi	multi	ADJ
ejpam-6025	314	11	-	-	ADJ
ejpam-6025	314	12	prior	prior	ADJ
ejpam-6025	314	13	approach	approach	NOUN
ejpam-6025	314	14	,	,	PUNCT
ejpam-6025	314	15	2005	2005	NUM
ejpam-6025	314	16	.	.	PUNCT
ejpam-6025	315	1	sauder	sauder	NOUN
ejpam-6025	315	2	school	school	PROPN
ejpam-6025	315	3	of	of	ADP
ejpam-6025	315	4	business	business	NOUN
ejpam-6025	315	5	working	working	NOUN
ejpam-6025	315	6	paper	paper	NOUN
ejpam-6025	315	7	.	.	PUNCT
ejpam-6025	316	1	[	[	X
ejpam-6025	316	2	7	7	X
ejpam-6025	316	3	]	]	X
ejpam-6025	316	4	doron	doron	PROPN
ejpam-6025	316	5	avramov	avramov	NOUN
ejpam-6025	316	6	and	and	CCONJ
ejpam-6025	316	7	guofu	guofu	PROPN
ejpam-6025	316	8	zhou	zhou	PROPN
ejpam-6025	316	9	.	.	PUNCT
ejpam-6025	317	1	bayesian	bayesian	NOUN
ejpam-6025	317	2	portfolio	portfolio	NOUN
ejpam-6025	317	3	analysis	analysis	NOUN
ejpam-6025	317	4	.	.	PUNCT
ejpam-6025	318	1	annual	annual	ADJ
ejpam-6025	318	2	review	review	NOUN
ejpam-6025	318	3	of	of	ADP
ejpam-6025	318	4	financial	financial	ADJ
ejpam-6025	318	5	economics	economic	NOUN
ejpam-6025	318	6	,	,	PUNCT
ejpam-6025	318	7	2(1):25–47	2(1):25–47	NUM
ejpam-6025	318	8	,	,	PUNCT
ejpam-6025	318	9	2010	2010	NUM
ejpam-6025	318	10	.	.	PUNCT
ejpam-6025	319	1	[	[	X
ejpam-6025	319	2	8	8	NUM
ejpam-6025	319	3	]	]	X
ejpam-6025	319	4	tze	tze	PROPN
ejpam-6025	319	5	leung	leung	PROPN
ejpam-6025	319	6	lai	lai	PROPN
ejpam-6025	319	7	,	,	PUNCT
ejpam-6025	319	8	haipeng	haipeng	PROPN
ejpam-6025	319	9	xing	xing	PROPN
ejpam-6025	319	10	,	,	PUNCT
ejpam-6025	319	11	and	and	CCONJ
ejpam-6025	319	12	zehao	zehao	PROPN
ejpam-6025	319	13	chen	chen	PROPN
ejpam-6025	319	14	.	.	PUNCT
ejpam-6025	320	1	mean	mean	ADJ
ejpam-6025	320	2	-	-	PUNCT
ejpam-6025	320	3	variance	variance	NOUN
ejpam-6025	320	4	portfolio	portfolio	NOUN
ejpam-6025	320	5	optimization	optimization	PROPN
ejpam-6025	320	6	ch	ch	PROPN
ejpam-6025	320	7	.	.	PUNCT
ejpam-6025	321	1	ahmed	ahmed	PROPN
ejpam-6025	321	2	baba	baba	PROPN
ejpam-6025	321	3	,	,	PUNCT
ejpam-6025	321	4	a.	a.	PROPN
ejpam-6025	321	5	ka	ka	PROPN
ejpam-6025	321	6	dionque	dionque	PROPN
ejpam-6025	321	7	/	/	SYM
ejpam-6025	321	8	eur	eur	PROPN
ejpam-6025	321	9	.	.	PUNCT
ejpam-6025	322	1	j.	j.	PROPN
ejpam-6025	322	2	pure	pure	PROPN
ejpam-6025	322	3	appl	appl	PROPN
ejpam-6025	322	4	.	.	PROPN
ejpam-6025	322	5	math	math	PROPN
ejpam-6025	322	6	,	,	PUNCT
ejpam-6025	322	7	18	18	NUM
ejpam-6025	322	8	(	(	PUNCT
ejpam-6025	322	9	3	3	NUM
ejpam-6025	322	10	)	)	PUNCT
ejpam-6025	322	11	(	(	PUNCT
ejpam-6025	322	12	2025	2025	NUM
ejpam-6025	322	13	)	)	PUNCT
ejpam-6025	322	14	,	,	PUNCT
ejpam-6025	322	15	6025	6025	NUM
ejpam-6025	322	16	18	18	NUM
ejpam-6025	322	17	of	of	ADP
ejpam-6025	322	18	19	19	NUM
ejpam-6025	322	19	when	when	SCONJ
ejpam-6025	322	20	means	mean	NOUN
ejpam-6025	322	21	and	and	CCONJ
ejpam-6025	322	22	covariances	covariance	NOUN
ejpam-6025	322	23	are	be	AUX
ejpam-6025	322	24	unknown	unknown	ADJ
ejpam-6025	322	25	.	.	PUNCT
ejpam-6025	323	1	annals	annal	NOUN
ejpam-6025	323	2	of	of	ADP
ejpam-6025	323	3	applied	applied	ADJ
ejpam-6025	323	4	statistics	statistic	NOUN
ejpam-6025	323	5	,	,	PUNCT
ejpam-6025	323	6	5(2a):798	5(2a):798	NUM
ejpam-6025	323	7	–	–	PUNCT
ejpam-6025	323	8	823	823	NUM
ejpam-6025	323	9	,	,	PUNCT
ejpam-6025	323	10	2011	2011	NUM
ejpam-6025	323	11	.	.	PUNCT
ejpam-6025	324	1	[	[	X
ejpam-6025	324	2	9	9	NUM
ejpam-6025	324	3	]	]	PUNCT
ejpam-6025	324	4	eugene	eugene	PROPN
ejpam-6025	324	5	f.	f.	PROPN
ejpam-6025	324	6	fama	fama	PROPN
ejpam-6025	324	7	and	and	CCONJ
ejpam-6025	324	8	kenneth	kenneth	PROPN
ejpam-6025	324	9	r.	r.	PROPN
ejpam-6025	324	10	french	french	PROPN
ejpam-6025	324	11	.	.	PUNCT
ejpam-6025	325	1	common	common	ADJ
ejpam-6025	325	2	risk	risk	NOUN
ejpam-6025	325	3	factors	factor	NOUN
ejpam-6025	325	4	in	in	ADP
ejpam-6025	325	5	the	the	DET
ejpam-6025	325	6	returns	return	NOUN
ejpam-6025	325	7	on	on	ADP
ejpam-6025	325	8	stocks	stock	NOUN
ejpam-6025	325	9	and	and	CCONJ
ejpam-6025	325	10	bonds	bond	NOUN
ejpam-6025	325	11	.	.	PUNCT
ejpam-6025	326	1	journal	journal	NOUN
ejpam-6025	326	2	of	of	ADP
ejpam-6025	326	3	financial	financial	ADJ
ejpam-6025	326	4	economics	economic	NOUN
ejpam-6025	326	5	,	,	PUNCT
ejpam-6025	326	6	33(1):3–56	33(1):3–56	NUM
ejpam-6025	326	7	,	,	PUNCT
ejpam-6025	326	8	1993	1993	NUM
ejpam-6025	326	9	.	.	PUNCT
ejpam-6025	327	1	[	[	X
ejpam-6025	327	2	10	10	NUM
ejpam-6025	327	3	]	]	PUNCT
ejpam-6025	327	4	tak	tak	NOUN
ejpam-6025	327	5	-	-	PUNCT
ejpam-6025	327	6	chung	chung	NOUN
ejpam-6025	327	7	fu	fu	PROPN
ejpam-6025	327	8	,	,	PUNCT
ejpam-6025	327	9	fu	fu	PROPN
ejpam-6025	327	10	-	-	PUNCT
ejpam-6025	327	11	lai	lai	PROPN
ejpam-6025	327	12	chung	chung	PROPN
ejpam-6025	327	13	,	,	PUNCT
ejpam-6025	327	14	and	and	CCONJ
ejpam-6025	327	15	chak	chak	ADJ
ejpam-6025	327	16	-	-	PUNCT
ejpam-6025	327	17	man	man	NOUN
ejpam-6025	327	18	ng	ng	PROPN
ejpam-6025	327	19	.	.	PROPN
ejpam-6025	327	20	financial	financial	ADJ
ejpam-6025	327	21	time	time	PROPN
ejpam-6025	327	22	series	series	PROPN
ejpam-6025	327	23	segmentation	segmentation	PROPN
ejpam-6025	327	24	based	base	VERB
ejpam-6025	327	25	on	on	ADP
ejpam-6025	327	26	specialized	specialized	ADJ
ejpam-6025	327	27	binary	binary	ADJ
ejpam-6025	327	28	tree	tree	NOUN
ejpam-6025	327	29	representation	representation	NOUN
ejpam-6025	327	30	.	.	PUNCT
ejpam-6025	328	1	in	in	ADP
ejpam-6025	328	2	conference	conference	NOUN
ejpam-6025	328	3	on	on	ADP
ejpam-6025	328	4	data	datum	NOUN
ejpam-6025	328	5	mining	mining	NOUN
ejpam-6025	328	6	,	,	PUNCT
ejpam-6025	328	7	2006	2006	NUM
ejpam-6025	328	8	.	.	PUNCT
ejpam-6025	329	1	[	[	X
ejpam-6025	329	2	11	11	NUM
ejpam-6025	329	3	]	]	PUNCT
ejpam-6025	329	4	tak	tak	NOUN
ejpam-6025	329	5	-	-	PUNCT
ejpam-6025	329	6	chung	chung	NOUN
ejpam-6025	329	7	fu	fu	PROPN
ejpam-6025	329	8	,	,	PUNCT
ejpam-6025	329	9	fu	fu	PROPN
ejpam-6025	329	10	-	-	PUNCT
ejpam-6025	329	11	lai	lai	PROPN
ejpam-6025	329	12	chung	chung	PROPN
ejpam-6025	329	13	,	,	PUNCT
ejpam-6025	329	14	robert	robert	PROPN
ejpam-6025	329	15	luk	luk	PROPN
ejpam-6025	329	16	,	,	PUNCT
ejpam-6025	329	17	and	and	CCONJ
ejpam-6025	329	18	chak	chak	ADJ
ejpam-6025	329	19	-	-	PUNCT
ejpam-6025	329	20	man	man	NOUN
ejpam-6025	329	21	ng	ng	PROPN
ejpam-6025	329	22	.	.	PUNCT
ejpam-6025	329	23	representing	represent	VERB
ejpam-6025	329	24	financial	financial	ADJ
ejpam-6025	329	25	time	time	NOUN
ejpam-6025	329	26	series	series	NOUN
ejpam-6025	329	27	based	base	VERB
ejpam-6025	329	28	on	on	ADP
ejpam-6025	329	29	data	datum	NOUN
ejpam-6025	329	30	point	point	NOUN
ejpam-6025	329	31	importance	importance	NOUN
ejpam-6025	329	32	.	.	PUNCT
ejpam-6025	330	1	engineering	engineering	NOUN
ejpam-6025	330	2	applications	application	NOUN
ejpam-6025	330	3	of	of	ADP
ejpam-6025	330	4	artificial	artificial	ADJ
ejpam-6025	330	5	intelligence	intelligence	NOUN
ejpam-6025	330	6	,	,	PUNCT
ejpam-6025	330	7	21:277–300	21:277–300	NUM
ejpam-6025	330	8	,	,	PUNCT
ejpam-6025	330	9	2008	2008	NUM
ejpam-6025	330	10	.	.	PUNCT
ejpam-6025	331	1	[	[	X
ejpam-6025	331	2	12	12	NUM
ejpam-6025	331	3	]	]	PUNCT
ejpam-6025	331	4	eamonn	eamonn	PROPN
ejpam-6025	331	5	keogh	keogh	PROPN
ejpam-6025	331	6	,	,	PUNCT
ejpam-6025	331	7	selina	selina	PROPN
ejpam-6025	331	8	chu	chu	PROPN
ejpam-6025	331	9	,	,	PUNCT
ejpam-6025	331	10	david	david	PROPN
ejpam-6025	331	11	hart	hart	PROPN
ejpam-6025	331	12	,	,	PUNCT
ejpam-6025	331	13	and	and	CCONJ
ejpam-6025	331	14	michael	michael	PROPN
ejpam-6025	331	15	pazzani	pazzani	PROPN
ejpam-6025	331	16	.	.	PUNCT
ejpam-6025	332	1	segmenting	segment	VERB
ejpam-6025	332	2	time	time	NOUN
ejpam-6025	332	3	series	series	NOUN
ejpam-6025	332	4	:	:	PUNCT
ejpam-6025	332	5	a	a	DET
ejpam-6025	332	6	survey	survey	NOUN
ejpam-6025	332	7	and	and	CCONJ
ejpam-6025	332	8	novel	novel	NOUN
ejpam-6025	332	9	approach	approach	NOUN
ejpam-6025	332	10	.	.	PUNCT
ejpam-6025	333	1	in	in	ADP
ejpam-6025	333	2	data	datum	NOUN
ejpam-6025	333	3	mining	mining	NOUN
ejpam-6025	333	4	in	in	ADP
ejpam-6025	333	5	time	time	NOUN
ejpam-6025	333	6	series	series	NOUN
ejpam-6025	333	7	databases	database	NOUN
ejpam-6025	333	8	,	,	PUNCT
ejpam-6025	333	9	volume	volume	NOUN
ejpam-6025	333	10	57	57	NUM
ejpam-6025	333	11	,	,	PUNCT
ejpam-6025	333	12	pages	page	NOUN
ejpam-6025	333	13	1–22	1–22	PROPN
ejpam-6025	333	14	.	.	PUNCT
ejpam-6025	334	1	2004	2004	NUM
ejpam-6025	334	2	.	.	PUNCT
ejpam-6025	335	1	[	[	X
ejpam-6025	335	2	13	13	NUM
ejpam-6025	335	3	]	]	SYM
ejpam-6025	335	4	michèle	michèle	PROPN
ejpam-6025	335	5	basseville	basseville	NOUN
ejpam-6025	335	6	and	and	CCONJ
ejpam-6025	335	7	igor	igor	NOUN
ejpam-6025	335	8	v.	v.	ADP
ejpam-6025	335	9	nikiforov	nikiforov	PROPN
ejpam-6025	335	10	.	.	PUNCT
ejpam-6025	336	1	detection	detection	NOUN
ejpam-6025	336	2	of	of	ADP
ejpam-6025	336	3	abrupt	abrupt	ADJ
ejpam-6025	336	4	changes	change	NOUN
ejpam-6025	336	5	:	:	PUNCT
ejpam-6025	336	6	theory	theory	NOUN
ejpam-6025	336	7	and	and	CCONJ
ejpam-6025	336	8	application	application	NOUN
ejpam-6025	336	9	.	.	PUNCT
ejpam-6025	337	1	prentice	prentice	PROPN
ejpam-6025	337	2	hall	hall	PROPN
ejpam-6025	337	3	,	,	PUNCT
ejpam-6025	337	4	1993	1993	NUM
ejpam-6025	337	5	.	.	PUNCT
ejpam-6025	338	1	[	[	X
ejpam-6025	338	2	14	14	NUM
ejpam-6025	338	3	]	]	PUNCT
ejpam-6025	338	4	azadeh	azadeh	NOUN
ejpam-6025	338	5	khaleghi	khaleghi	PROPN
ejpam-6025	338	6	and	and	CCONJ
ejpam-6025	338	7	daniil	daniil	ADJ
ejpam-6025	338	8	ryabko	ryabko	NOUN
ejpam-6025	338	9	.	.	PUNCT
ejpam-6025	339	1	locating	locate	VERB
ejpam-6025	339	2	changes	change	NOUN
ejpam-6025	339	3	in	in	ADP
ejpam-6025	339	4	highly	highly	ADV
ejpam-6025	339	5	dependent	dependent	ADJ
ejpam-6025	339	6	data	datum	NOUN
ejpam-6025	339	7	with	with	ADP
ejpam-6025	339	8	unknown	unknown	ADJ
ejpam-6025	339	9	number	number	NOUN
ejpam-6025	339	10	of	of	ADP
ejpam-6025	339	11	change	change	NOUN
ejpam-6025	339	12	points	point	NOUN
ejpam-6025	339	13	.	.	PUNCT
ejpam-6025	340	1	in	in	ADP
ejpam-6025	340	2	advances	advance	NOUN
ejpam-6025	340	3	in	in	ADP
ejpam-6025	340	4	neural	neural	ADJ
ejpam-6025	340	5	information	information	NOUN
ejpam-6025	340	6	processing	processing	NOUN
ejpam-6025	340	7	systems	system	NOUN
ejpam-6025	340	8	,	,	PUNCT
ejpam-6025	340	9	volume	volume	NOUN
ejpam-6025	340	10	25	25	NUM
ejpam-6025	340	11	,	,	PUNCT
ejpam-6025	340	12	2012	2012	NUM
ejpam-6025	340	13	.	.	PUNCT
ejpam-6025	341	1	[	[	X
ejpam-6025	341	2	15	15	NUM
ejpam-6025	341	3	]	]	PUNCT
ejpam-6025	341	4	azadeh	azadeh	NOUN
ejpam-6025	341	5	khaleghi	khaleghi	PROPN
ejpam-6025	341	6	and	and	CCONJ
ejpam-6025	341	7	daniil	daniil	ADJ
ejpam-6025	341	8	ryabko	ryabko	NOUN
ejpam-6025	341	9	.	.	PUNCT
ejpam-6025	342	1	nonparametric	nonparametric	PROPN
ejpam-6025	342	2	multiple	multiple	ADJ
ejpam-6025	342	3	change	change	NOUN
ejpam-6025	342	4	point	point	NOUN
ejpam-6025	342	5	estimation	estimation	NOUN
ejpam-6025	342	6	in	in	ADP
ejpam-6025	342	7	highly	highly	ADV
ejpam-6025	342	8	dependent	dependent	ADJ
ejpam-6025	342	9	time	time	NOUN
ejpam-6025	342	10	series	series	NOUN
ejpam-6025	342	11	.	.	PUNCT
ejpam-6025	343	1	in	in	ADP
ejpam-6025	343	2	proceedings	proceeding	NOUN
ejpam-6025	343	3	of	of	ADP
ejpam-6025	343	4	the	the	DET
ejpam-6025	343	5	24th	24th	ADJ
ejpam-6025	343	6	international	international	ADJ
ejpam-6025	343	7	conference	conference	NOUN
ejpam-6025	343	8	on	on	ADP
ejpam-6025	343	9	algorithmic	algorithmic	ADJ
ejpam-6025	343	10	learning	learning	NOUN
ejpam-6025	343	11	theory	theory	NOUN
ejpam-6025	343	12	(	(	PUNCT
ejpam-6025	343	13	alt–13	alt–13	NOUN
ejpam-6025	343	14	)	)	PUNCT
ejpam-6025	343	15	,	,	PUNCT
ejpam-6025	343	16	2013	2013	NUM
ejpam-6025	343	17	.	.	PUNCT
ejpam-6025	344	1	[	[	X
ejpam-6025	344	2	16	16	NUM
ejpam-6025	344	3	]	]	PUNCT
ejpam-6025	344	4	azadeh	azadeh	VERB
ejpam-6025	344	5	khaleghi	khaleghi	PROPN
ejpam-6025	344	6	and	and	CCONJ
ejpam-6025	344	7	daniil	daniil	ADJ
ejpam-6025	344	8	ryabko	ryabko	NOUN
ejpam-6025	344	9	.	.	PUNCT
ejpam-6025	345	1	asymptotically	asymptotically	ADV
ejpam-6025	345	2	consistent	consistent	ADJ
ejpam-6025	345	3	estimation	estimation	NOUN
ejpam-6025	345	4	of	of	ADP
ejpam-6025	345	5	the	the	DET
ejpam-6025	345	6	number	number	NOUN
ejpam-6025	345	7	of	of	ADP
ejpam-6025	345	8	change	change	NOUN
ejpam-6025	345	9	points	point	NOUN
ejpam-6025	345	10	in	in	ADP
ejpam-6025	345	11	highly	highly	ADV
ejpam-6025	345	12	dependent	dependent	ADJ
ejpam-6025	345	13	time	time	NOUN
ejpam-6025	345	14	series	series	NOUN
ejpam-6025	345	15	.	.	PUNCT
ejpam-6025	346	1	in	in	ADP
ejpam-6025	346	2	icml	icml	NOUN
ejpam-6025	346	3	,	,	PUNCT
ejpam-6025	346	4	jmlr	jmlr	ADJ
ejpam-6025	346	5	workshop	workshop	NOUN
ejpam-6025	346	6	and	and	CCONJ
ejpam-6025	346	7	conference	conference	NOUN
ejpam-6025	346	8	proceedings	proceeding	NOUN
ejpam-6025	346	9	,	,	PUNCT
ejpam-6025	346	10	volume	volume	NOUN
ejpam-6025	346	11	32	32	NUM
ejpam-6025	346	12	,	,	PUNCT
ejpam-6025	346	13	pages	page	NOUN
ejpam-6025	346	14	539–547	539–547	NUM
ejpam-6025	346	15	,	,	PUNCT
ejpam-6025	346	16	2014	2014	NUM
ejpam-6025	346	17	.	.	PUNCT
ejpam-6025	347	1	[	[	X
ejpam-6025	347	2	17	17	NUM
ejpam-6025	347	3	]	]	PUNCT
ejpam-6025	347	4	r.	r.	PROPN
ejpam-6025	347	5	zhang	zhang	PROPN
ejpam-6025	347	6	.	.	PUNCT
ejpam-6025	347	7	apprentissage	apprentissage	NOUN
ejpam-6025	347	8	statistique	statistique	NOUN
ejpam-6025	347	9	en	en	X
ejpam-6025	347	10	gestion	gestion	PROPN
ejpam-6025	347	11	de	de	X
ejpam-6025	347	12	portefeuille	portefeuille	PROPN
ejpam-6025	347	13	.	.	PUNCT
ejpam-6025	348	1	phd	phd	NOUN
ejpam-6025	348	2	thesis	thesis	PROPN
ejpam-6025	348	3	,	,	PUNCT
ejpam-6025	348	4	télécom	télécom	PROPN
ejpam-6025	348	5	paristech	paristech	PROPN
ejpam-6025	348	6	,	,	PUNCT
ejpam-6025	348	7	2014	2014	NUM
ejpam-6025	348	8	.	.	PUNCT
ejpam-6025	349	1	[	[	X
ejpam-6025	349	2	18	18	NUM
ejpam-6025	349	3	]	]	X
ejpam-6025	349	4	leo	leo	PROPN
ejpam-6025	349	5	breiman	breiman	PROPN
ejpam-6025	349	6	,	,	PUNCT
ejpam-6025	349	7	jerome	jerome	PROPN
ejpam-6025	349	8	h.	h.	PROPN
ejpam-6025	349	9	friedman	friedman	PROPN
ejpam-6025	349	10	,	,	PUNCT
ejpam-6025	349	11	robert	robert	PROPN
ejpam-6025	349	12	a.	a.	PROPN
ejpam-6025	349	13	olshen	olshen	PROPN
ejpam-6025	349	14	,	,	PUNCT
ejpam-6025	349	15	and	and	CCONJ
ejpam-6025	349	16	charles	charles	PROPN
ejpam-6025	349	17	j.	j.	PROPN
ejpam-6025	349	18	stone	stone	PROPN
ejpam-6025	349	19	.	.	PUNCT
ejpam-6025	350	1	classification	classification	NOUN
ejpam-6025	350	2	and	and	CCONJ
ejpam-6025	350	3	regression	regression	NOUN
ejpam-6025	350	4	trees	tree	NOUN
ejpam-6025	350	5	.	.	PUNCT
ejpam-6025	351	1	chapman	chapman	PROPN
ejpam-6025	351	2	and	and	CCONJ
ejpam-6025	351	3	hall	hall	PROPN
ejpam-6025	351	4	,	,	PUNCT
ejpam-6025	351	5	1984	1984	NUM
ejpam-6025	351	6	.	.	PUNCT
ejpam-6025	352	1	[	[	X
ejpam-6025	352	2	19	19	NUM
ejpam-6025	352	3	]	]	PUNCT
ejpam-6025	352	4	philippe	philippe	PROPN
ejpam-6025	352	5	jorion	jorion	NOUN
ejpam-6025	352	6	.	.	PUNCT
ejpam-6025	353	1	value	value	NOUN
ejpam-6025	353	2	at	at	ADP
ejpam-6025	353	3	risk	risk	NOUN
ejpam-6025	353	4	:	:	PUNCT
ejpam-6025	353	5	the	the	DET
ejpam-6025	353	6	new	new	ADJ
ejpam-6025	353	7	benchmark	benchmark	NOUN
ejpam-6025	353	8	for	for	ADP
ejpam-6025	353	9	managing	manage	VERB
ejpam-6025	353	10	financial	financial	ADJ
ejpam-6025	353	11	risk	risk	NOUN
ejpam-6025	353	12	.	.	PUNCT
ejpam-6025	354	1	mcgraw	mcgraw	PROPN
ejpam-6025	354	2	-	-	PUNCT
ejpam-6025	354	3	hill	hill	PROPN
ejpam-6025	354	4	,	,	PUNCT
ejpam-6025	354	5	2nd	2nd	PROPN
ejpam-6025	354	6	edition	edition	NOUN
ejpam-6025	354	7	,	,	PUNCT
ejpam-6025	354	8	2000	2000	NUM
ejpam-6025	354	9	.	.	PUNCT
ejpam-6025	355	1	[	[	X
ejpam-6025	355	2	20	20	NUM
ejpam-6025	355	3	]	]	X
ejpam-6025	355	4	d.	d.	PROPN
ejpam-6025	355	5	e.	e.	PROPN
ejpam-6025	355	6	goldberg	goldberg	PROPN
ejpam-6025	355	7	.	.	PUNCT
ejpam-6025	356	1	genetic	genetic	ADJ
ejpam-6025	356	2	algorithms	algorithm	NOUN
ejpam-6025	356	3	in	in	ADP
ejpam-6025	356	4	search	search	NOUN
ejpam-6025	356	5	,	,	PUNCT
ejpam-6025	356	6	optimization	optimization	NOUN
ejpam-6025	356	7	and	and	CCONJ
ejpam-6025	356	8	machine	machine	NOUN
ejpam-6025	356	9	learning	learning	NOUN
ejpam-6025	356	10	.	.	PUNCT
ejpam-6025	357	1	addison	addison	PROPN
ejpam-6025	357	2	-	-	PUNCT
ejpam-6025	357	3	wesley	wesley	PROPN
ejpam-6025	357	4	,	,	PUNCT
ejpam-6025	357	5	1989	1989	NUM
ejpam-6025	357	6	.	.	PUNCT
ejpam-6025	358	1	[	[	X
ejpam-6025	358	2	21	21	NUM
ejpam-6025	358	3	]	]	X
ejpam-6025	358	4	e.	e.	PROPN
ejpam-6025	358	5	lutton	lutton	PROPN
ejpam-6025	358	6	.	.	PUNCT
ejpam-6025	359	1	algorithmes	algorithme	NOUN
ejpam-6025	359	2	génétiques	génétiques	PROPN
ejpam-6025	359	3	et	et	NOUN
ejpam-6025	359	4	fractales	fractale	NOUN
ejpam-6025	359	5	.	.	PUNCT
ejpam-6025	360	1	phd	phd	NOUN
ejpam-6025	360	2	thesis	thesis	NOUN
ejpam-6025	360	3	,	,	PUNCT
ejpam-6025	360	4	université	université	ADJ
ejpam-6025	360	5	paris	paris	PROPN
ejpam-6025	360	6	xi	xi	PROPN
ejpam-6025	360	7	orsay	orsay	PROPN
ejpam-6025	360	8	,	,	PUNCT
ejpam-6025	360	9	1999	1999	NUM
ejpam-6025	360	10	.	.	PUNCT
ejpam-6025	361	1	dossier	dossier	NOUN
ejpam-6025	361	2	d’habilitation	d’habilitation	NOUN
ejpam-6025	361	3	à	à	PROPN
ejpam-6025	361	4	diriger	diriger	PROPN
ejpam-6025	361	5	des	des	PROPN
ejpam-6025	361	6	recherches	recherche	NOUN
ejpam-6025	361	7	.	.	PUNCT
ejpam-6025	362	1	[	[	X
ejpam-6025	362	2	22	22	NUM
ejpam-6025	362	3	]	]	PUNCT
ejpam-6025	362	4	m.	m.	NOUN
ejpam-6025	362	5	el	el	PROPN
ejpam-6025	362	6	hachlou	hachlou	PROPN
ejpam-6025	362	7	,	,	PUNCT
ejpam-6025	362	8	z.	z.	PROPN
ejpam-6025	362	9	guennoun	guennoun	PROPN
ejpam-6025	362	10	,	,	PUNCT
ejpam-6025	362	11	and	and	CCONJ
ejpam-6025	362	12	f.	f.	PROPN
ejpam-6025	362	13	hamza	hamza	PROPN
ejpam-6025	362	14	.	.	PUNCT
ejpam-6025	363	1	stocks	stock	NOUN
ejpam-6025	363	2	portfolio	portfolio	NOUN
ejpam-6025	363	3	optimization	optimization	NOUN
ejpam-6025	363	4	using	use	VERB
ejpam-6025	363	5	classification	classification	NOUN
ejpam-6025	363	6	and	and	CCONJ
ejpam-6025	363	7	genetic	genetic	ADJ
ejpam-6025	363	8	algorithms	algorithm	NOUN
ejpam-6025	363	9	.	.	PUNCT
ejpam-6025	364	1	applied	apply	VERB
ejpam-6025	364	2	mathematical	mathematical	ADJ
ejpam-6025	364	3	sciences	science	NOUN
ejpam-6025	364	4	,	,	PUNCT
ejpam-6025	364	5	6(94):4673	6(94):4673	NUM
ejpam-6025	364	6	–	–	PUNCT
ejpam-6025	364	7	4684	4684	NUM
ejpam-6025	364	8	,	,	PUNCT
ejpam-6025	364	9	2012	2012	NUM
ejpam-6025	364	10	.	.	PUNCT
ejpam-6025	365	1	[	[	X
ejpam-6025	365	2	23	23	NUM
ejpam-6025	365	3	]	]	X
ejpam-6025	365	4	z.-h	z.-h	NOUN
ejpam-6025	365	5	.	.	PUNCT
ejpam-6025	366	1	zhan	zhan	PROPN
ejpam-6025	366	2	,	,	PUNCT
ejpam-6025	366	3	j.	j.	PROPN
ejpam-6025	366	4	zhang	zhang	PROPN
ejpam-6025	366	5	,	,	PUNCT
ejpam-6025	366	6	y.	y.	PROPN
ejpam-6025	366	7	li	li	PROPN
ejpam-6025	366	8	,	,	PUNCT
ejpam-6025	366	9	and	and	CCONJ
ejpam-6025	366	10	y.-j	y.-j	PROPN
ejpam-6025	366	11	.	.	PUNCT
ejpam-6025	367	1	gong	gong	PROPN
ejpam-6025	367	2	.	.	PUNCT
ejpam-6025	368	1	evolutionary	evolutionary	ADJ
ejpam-6025	368	2	optimization	optimization	NOUN
ejpam-6025	368	3	in	in	ADP
ejpam-6025	368	4	uncertain	uncertain	ADJ
ejpam-6025	368	5	environments	environment	NOUN
ejpam-6025	368	6	:	:	PUNCT
ejpam-6025	368	7	a	a	DET
ejpam-6025	368	8	survey	survey	NOUN
ejpam-6025	368	9	.	.	PUNCT
ejpam-6025	369	1	ieee	ieee	NOUN
ejpam-6025	369	2	transactions	transaction	NOUN
ejpam-6025	369	3	on	on	ADP
ejpam-6025	369	4	evolutionary	evolutionary	ADJ
ejpam-6025	369	5	computation	computation	NOUN
ejpam-6025	369	6	,	,	PUNCT
ejpam-6025	369	7	25(2):188–211	25(2):188–211	NUM
ejpam-6025	369	8	,	,	PUNCT
ejpam-6025	369	9	2021	2021	NUM
ejpam-6025	369	10	.	.	PUNCT
ejpam-6025	370	1	[	[	X
ejpam-6025	370	2	24	24	NUM
ejpam-6025	370	3	]	]	X
ejpam-6025	370	4	g.	g.	PROPN
ejpam-6025	370	5	a.	a.	PROPN
ejpam-6025	370	6	flores	flores	PROPN
ejpam-6025	370	7	-	-	PUNCT
ejpam-6025	370	8	fernandez	fernandez	PROPN
ejpam-6025	370	9	,	,	PUNCT
ejpam-6025	370	10	m.	m.	NOUN
ejpam-6025	370	11	jimenez	jimenez	PROPN
ejpam-6025	370	12	-	-	PUNCT
ejpam-6025	370	13	carrion	carrion	PROPN
ejpam-6025	370	14	,	,	PUNCT
ejpam-6025	370	15	f.	f.	PROPN
ejpam-6025	370	16	gutierrez	gutierrez	PROPN
ejpam-6025	370	17	,	,	PUNCT
ejpam-6025	370	18	and	and	CCONJ
ejpam-6025	370	19	r.	r.	PROPN
ejpam-6025	370	20	a.	a.	PROPN
ejpam-6025	370	21	sanchezancajima	sanchezancajima	PROPN
ejpam-6025	370	22	.	.	PUNCT
ejpam-6025	371	1	genetic	genetic	ADJ
ejpam-6025	371	2	algorithm	algorithm	NOUN
ejpam-6025	371	3	and	and	CCONJ
ejpam-6025	371	4	lstm	lstm	PROPN
ejpam-6025	371	5	artificial	artificial	ADJ
ejpam-6025	371	6	neural	neural	ADJ
ejpam-6025	371	7	network	network	NOUN
ejpam-6025	371	8	for	for	ADP
ejpam-6025	371	9	investment	investment	NOUN
ejpam-6025	371	10	portfolio	portfolio	NOUN
ejpam-6025	371	11	optimization	optimization	NOUN
ejpam-6025	371	12	.	.	PUNCT
ejpam-6025	372	1	universidad	universidad	PROPN
ejpam-6025	372	2	nacional	nacional	PROPN
ejpam-6025	372	3	de	de	PROPN
ejpam-6025	372	4	piura	piura	NOUN
ejpam-6025	372	5	,	,	PUNCT
ejpam-6025	372	6	2024	2024	NUM
ejpam-6025	372	7	.	.	PUNCT
ejpam-6025	373	1	reçu	reçu	X
ejpam-6025	373	2	le	le	X
ejpam-6025	373	3	10	10	NUM
ejpam-6025	373	4	janvier	janvier	X
ejpam-6025	373	5	2024	2024	NUM
ejpam-6025	373	6	;	;	PUNCT
ejpam-6025	373	7	révisé	révisé	PROPN
ejpam-6025	373	8	le	le	ADP
ejpam-6025	373	9	17	17	NUM
ejpam-6025	373	10	février	février	PROPN
ejpam-6025	373	11	2024	2024	NUM
ejpam-6025	373	12	;	;	PUNCT
ejpam-6025	373	13	accepté	accepté	NOUN
ejpam-6025	373	14	le	le	X
ejpam-6025	373	15	8	8	NUM
ejpam-6025	373	16	avril	avril	PROPN
ejpam-6025	373	17	2024	2024	NUM
ejpam-6025	373	18	;	;	PUNCT
ejpam-6025	373	19	publié	publié	NOUN
ejpam-6025	373	20	le	le	ADP
ejpam-6025	373	21	29	29	NUM
ejpam-6025	373	22	juin	juin	NOUN
ejpam-6025	373	23	2024	2024	NUM
ejpam-6025	373	24	.	.	PUNCT
ejpam-6025	374	1	ch	ch	NOUN
ejpam-6025	374	2	.	.	PUNCT
ejpam-6025	374	3	ahmed	ahmed	PROPN
ejpam-6025	374	4	baba	baba	PROPN
ejpam-6025	374	5	,	,	PUNCT
ejpam-6025	374	6	a.	a.	PROPN
ejpam-6025	374	7	ka	ka	PROPN
ejpam-6025	374	8	dionque	dionque	PROPN
ejpam-6025	374	9	/	/	SYM
ejpam-6025	374	10	eur	eur	PROPN
ejpam-6025	374	11	.	.	PUNCT
ejpam-6025	375	1	j.	j.	PROPN
ejpam-6025	375	2	pure	pure	PROPN
ejpam-6025	375	3	appl	appl	PROPN
ejpam-6025	375	4	.	.	PROPN
ejpam-6025	375	5	math	math	PROPN
ejpam-6025	375	6	,	,	PUNCT
ejpam-6025	375	7	18	18	NUM
ejpam-6025	375	8	(	(	PUNCT
ejpam-6025	375	9	3	3	NUM
ejpam-6025	375	10	)	)	PUNCT
ejpam-6025	375	11	(	(	PUNCT
ejpam-6025	375	12	2025	2025	NUM
ejpam-6025	375	13	)	)	PUNCT
ejpam-6025	375	14	,	,	PUNCT
ejpam-6025	375	15	6025	6025	NUM
ejpam-6025	375	16	19	19	NUM
ejpam-6025	375	17	of	of	ADP
ejpam-6025	375	18	19	19	NUM
ejpam-6025	375	19	[	[	X
ejpam-6025	375	20	25	25	NUM
ejpam-6025	375	21	]	]	PUNCT
ejpam-6025	375	22	a.	a.	NOUN
ejpam-6025	375	23	mahmoudil	mahmoudil	PROPN
ejpam-6025	375	24	,	,	PUNCT
ejpam-6025	375	25	l.	l.	PROPN
ejpam-6025	375	26	hashemi	hashemi	PROPN
ejpam-6025	375	27	,	,	PUNCT
ejpam-6025	375	28	m.	m.	NOUN
ejpam-6025	375	29	jasemi	jasemi	PROPN
ejpam-6025	375	30	,	,	PUNCT
ejpam-6025	375	31	and	and	CCONJ
ejpam-6025	375	32	j.	j.	PROPN
ejpam-6025	375	33	pope	pope	PROPN
ejpam-6025	375	34	.	.	PUNCT
ejpam-6025	376	1	a	a	DET
ejpam-6025	376	2	comparison	comparison	NOUN
ejpam-6025	376	3	on	on	ADP
ejpam-6025	376	4	particle	particle	NOUN
ejpam-6025	376	5	swarm	swarm	NOUN
ejpam-6025	376	6	optimization	optimization	NOUN
ejpam-6025	376	7	and	and	CCONJ
ejpam-6025	376	8	genetic	genetic	ADJ
ejpam-6025	376	9	algorithm	algorithm	NOUN
ejpam-6025	376	10	performances	performance	NOUN
ejpam-6025	376	11	in	in	ADP
ejpam-6025	376	12	deriving	derive	VERB
ejpam-6025	376	13	the	the	DET
ejpam-6025	376	14	efficient	efficient	ADJ
ejpam-6025	376	15	frontier	frontier	NOUN
ejpam-6025	376	16	of	of	ADP
ejpam-6025	376	17	stocks	stock	NOUN
ejpam-6025	376	18	portfolios	portfolio	NOUN
ejpam-6025	376	19	based	base	VERB
ejpam-6025	376	20	on	on	ADP
ejpam-6025	376	21	a	a	DET
ejpam-6025	376	22	mean	mean	ADJ
ejpam-6025	376	23	-	-	PUNCT
ejpam-6025	376	24	lower	low	ADJ
ejpam-6025	376	25	partial	partial	ADJ
ejpam-6025	376	26	moment	moment	NOUN
ejpam-6025	376	27	model	model	NOUN
ejpam-6025	376	28	.	.	PUNCT
ejpam-6025	377	1	wiley	wiley	PROPN
ejpam-6025	377	2	research	research	PROPN
ejpam-6025	377	3	article	article	NOUN
ejpam-6025	377	4	,	,	PUNCT
ejpam-6025	377	5	2020	2020	NUM
ejpam-6025	377	6	.	.	PUNCT