id	sid	tid	token	lemma	pos
bracis-28355	1	1	the	the	DET
bracis-28355	1	2	multi	multi	ADJ
bracis-28355	1	3	-	-	ADJ
bracis-28355	1	4	attribute	attribute	NOUN
bracis-28355	1	5	fairer	fair	ADJ
bracis-28355	1	6	cover	cover	VERB
bracis-28355	1	7	problem	problem	NOUN
bracis-28355	1	8	|	|	ADV
bracis-28355	1	9	springer	springer	NOUN
bracis-28355	1	10	nature	nature	PROPN
bracis-28355	1	11	link	link	PROPN
bracis-28355	1	12	(	(	PUNCT
bracis-28355	1	13	formerly	formerly	ADV
bracis-28355	1	14	springerlink	springerlink	NOUN
bracis-28355	1	15	)	)	PUNCT
bracis-28355	1	16	skip	skip	VERB
bracis-28355	1	17	to	to	ADP
bracis-28355	1	18	main	main	ADJ
bracis-28355	1	19	content	content	NOUN
bracis-28355	1	20	advertisement	advertisement	NOUN
bracis-28355	1	21	log	log	NOUN
bracis-28355	1	22	in	in	ADP
bracis-28355	1	23	menu	menu	NOUN
bracis-28355	1	24	find	find	VERB
bracis-28355	1	25	a	a	DET
bracis-28355	1	26	journal	journal	NOUN
bracis-28355	1	27	publish	publish	VERB
bracis-28355	1	28	with	with	ADP
bracis-28355	1	29	us	we	PRON
bracis-28355	1	30	track	track	VERB
bracis-28355	1	31	your	your	PRON
bracis-28355	1	32	research	research	NOUN
bracis-28355	1	33	search	search	NOUN
bracis-28355	1	34	cart	cart	NOUN
bracis-28355	1	35	home	home	NOUN
bracis-28355	1	36	intelligent	intelligent	ADJ
bracis-28355	1	37	systems	system	NOUN
bracis-28355	1	38	conference	conference	NOUN
bracis-28355	1	39	paper	paper	NOUN
bracis-28355	1	40	the	the	DET
bracis-28355	1	41	multi	multi	ADJ
bracis-28355	1	42	-	-	ADJ
bracis-28355	1	43	attribute	attribute	NOUN
bracis-28355	1	44	fairer	fair	ADJ
bracis-28355	1	45	cover	cover	NOUN
bracis-28355	1	46	problem	problem	NOUN
bracis-28355	1	47	conference	conference	NOUN
bracis-28355	1	48	paper	paper	NOUN
bracis-28355	1	49	first	first	ADV
bracis-28355	1	50	online	online	ADV
bracis-28355	1	51	:	:	PUNCT
bracis-28355	1	52	12	12	NUM
bracis-28355	1	53	october	october	NOUN
bracis-28355	1	54	2023	2023	NUM
bracis-28355	1	55	pp	pp	ADP
bracis-28355	1	56	163–177	163–177	NUM
bracis-28355	1	57	cite	cite	VERB
bracis-28355	1	58	this	this	DET
bracis-28355	1	59	conference	conference	NOUN
bracis-28355	1	60	paper	paper	NOUN
bracis-28355	1	61	access	access	NOUN
bracis-28355	1	62	provided	provide	VERB
bracis-28355	1	63	by	by	ADP
bracis-28355	1	64	university	university	PROPN
bracis-28355	1	65	of	of	ADP
bracis-28355	1	66	notre	notre	PROPN
bracis-28355	1	67	dame	dame	PROPN
bracis-28355	1	68	hesburgh	hesburgh	PROPN
bracis-28355	1	69	library	library	PROPN
bracis-28355	1	70	download	download	PROPN
bracis-28355	1	71	book	book	NOUN
bracis-28355	1	72	pdf	pdf	PROPN
bracis-28355	1	73	download	download	NOUN
bracis-28355	1	74	book	book	NOUN
bracis-28355	1	75	epub	epub	PROPN
bracis-28355	1	76	intelligent	intelligent	ADJ
bracis-28355	1	77	systems	system	NOUN
bracis-28355	1	78	(	(	PUNCT
bracis-28355	1	79	bracis	bracis	NOUN
bracis-28355	1	80	2023	2023	NUM
bracis-28355	1	81	)	)	PUNCT
bracis-28355	1	82	the	the	DET
bracis-28355	1	83	multi	multi	ADJ
bracis-28355	1	84	-	-	ADJ
bracis-28355	1	85	attribute	attribute	NOUN
bracis-28355	1	86	fairer	fair	ADJ
bracis-28355	1	87	cover	cover	VERB
bracis-28355	1	88	problem	problem	NOUN
bracis-28355	1	89	download	download	NOUN
bracis-28355	1	90	book	book	NOUN
bracis-28355	1	91	pdf	pdf	PROPN
bracis-28355	1	92	download	download	NOUN
bracis-28355	1	93	book	book	PROPN
bracis-28355	1	94	epub	epub	PROPN
bracis-28355	1	95	ana	ana	PROPN
bracis-28355	1	96	paula	paula	PROPN
bracis-28355	1	97	s.	s.	PROPN
bracis-28355	1	98	dantas	dantas	PROPN
bracis-28355	1	99	  	  	SPACE
bracis-28355	1	100	orcid	orcid	PROPN
bracis-28355	1	101	:	:	PUNCT
bracis-28355	1	102	orcid.org/0000-0002-8831-07109	orcid.org/0000-0002-8831-07109	PROPN
bracis-28355	1	103	,	,	PUNCT
bracis-28355	1	104	gabriel	gabriel	PROPN
bracis-28355	1	105	bianchin	bianchin	PROPN
bracis-28355	1	106	de	de	PROPN
bracis-28355	1	107	oliveira	oliveira	PROPN
bracis-28355	1	108	  	  	SPACE
bracis-28355	1	109	orcid	orcid	PROPN
bracis-28355	1	110	:	:	PUNCT
bracis-28355	1	111	orcid.org/0000-0002-1238-48609	orcid.org/0000-0002-1238-48609	NOUN
bracis-28355	1	112	,	,	PUNCT
bracis-28355	1	113	helio	helio	NOUN
bracis-28355	1	114	pedrini	pedrini	NOUN
bracis-28355	1	115	  	  	SPACE
bracis-28355	1	116	orcid	orcid	PROPN
bracis-28355	1	117	:	:	PUNCT
bracis-28355	1	118	orcid.org/0000-0003-0125-630x9	orcid.org/0000-0003-0125-630x9	NUM
bracis-28355	1	119	,	,	PUNCT
bracis-28355	1	120	cid	cid	PROPN
bracis-28355	1	121	c.	c.	PROPN
bracis-28355	1	122	de	de	PROPN
bracis-28355	1	123	souza	souza	PROPN
bracis-28355	1	124	  	  	SPACE
bracis-28355	1	125	orcid	orcid	PROPN
bracis-28355	1	126	:	:	PUNCT
bracis-28355	1	127	orcid.org/0000-0002-5945-08459	orcid.org/0000-0002-5945-08459	NOUN
bracis-28355	1	128	&	&	CCONJ
bracis-28355	1	129	…	…	PUNCT
bracis-28355	1	130	zanoni	zanoni	X
bracis-28355	1	131	dias	dias	PROPN
bracis-28355	1	132	  	  	SPACE
bracis-28355	1	133	orcid	orcid	NOUN
bracis-28355	1	134	:	:	PUNCT
bracis-28355	1	135	orcid.org/0000-0003-3333-68229	orcid.org/0000-0003-3333-68229	PROPN
bracis-28355	1	136	  	  	SPACE
bracis-28355	1	137	show	show	VERB
bracis-28355	1	138	authors	author	NOUN
bracis-28355	1	139	part	part	NOUN
bracis-28355	1	140	of	of	ADP
bracis-28355	1	141	the	the	DET
bracis-28355	1	142	book	book	NOUN
bracis-28355	1	143	series	series	NOUN
bracis-28355	1	144	:	:	PUNCT
bracis-28355	1	145	lecture	lecture	NOUN
bracis-28355	1	146	notes	note	NOUN
bracis-28355	1	147	in	in	ADP
bracis-28355	1	148	computer	computer	NOUN
bracis-28355	1	149	science	science	NOUN
bracis-28355	1	150	(	(	PUNCT
bracis-28355	1	151	(	(	PUNCT
bracis-28355	1	152	lnai	lnai	ADJ
bracis-28355	1	153	,	,	PUNCT
bracis-28355	1	154	volume	volume	NOUN
bracis-28355	1	155	14195	14195	NUM
bracis-28355	1	156	)	)	PUNCT
bracis-28355	1	157	)	)	PUNCT
bracis-28355	1	158	included	include	VERB
bracis-28355	1	159	in	in	ADP
bracis-28355	1	160	the	the	DET
bracis-28355	1	161	following	follow	VERB
bracis-28355	1	162	conference	conference	NOUN
bracis-28355	1	163	series	series	NOUN
bracis-28355	1	164	:	:	PUNCT
bracis-28355	1	165	brazilian	brazilian	ADJ
bracis-28355	1	166	conference	conference	NOUN
bracis-28355	1	167	on	on	ADP
bracis-28355	1	168	intelligent	intelligent	ADJ
bracis-28355	1	169	systems	system	NOUN
bracis-28355	1	170	542	542	NUM
bracis-28355	1	171	accesses	access	NOUN
bracis-28355	1	172	abstract	abstract	ADV
bracis-28355	1	173	alongside	alongside	ADP
bracis-28355	1	174	the	the	DET
bracis-28355	1	175	increased	increase	VERB
bracis-28355	1	176	use	use	NOUN
bracis-28355	1	177	of	of	ADP
bracis-28355	1	178	algorithms	algorithm	NOUN
bracis-28355	1	179	as	as	ADP
bracis-28355	1	180	decision	decision	NOUN
bracis-28355	1	181	making	making	NOUN
bracis-28355	1	182	tools	tool	NOUN
bracis-28355	1	183	,	,	PUNCT
bracis-28355	1	184	there	there	PRON
bracis-28355	1	185	have	have	AUX
bracis-28355	1	186	been	be	AUX
bracis-28355	1	187	an	an	DET
bracis-28355	1	188	increase	increase	NOUN
bracis-28355	1	189	of	of	ADP
bracis-28355	1	190	cases	case	NOUN
bracis-28355	1	191	where	where	SCONJ
bracis-28355	1	192	minority	minority	NOUN
bracis-28355	1	193	classes	class	NOUN
bracis-28355	1	194	have	have	AUX
bracis-28355	1	195	been	be	AUX
bracis-28355	1	196	harmed	harm	VERB
bracis-28355	1	197	.	.	PUNCT
bracis-28355	2	1	this	this	PRON
bracis-28355	2	2	gives	give	VERB
bracis-28355	2	3	rise	rise	NOUN
bracis-28355	2	4	to	to	PART
bracis-28355	2	5	study	study	VERB
bracis-28355	2	6	of	of	ADP
bracis-28355	2	7	algorithmic	algorithmic	ADJ
bracis-28355	2	8	fairness	fairness	NOUN
bracis-28355	2	9	that	that	PRON
bracis-28355	2	10	deals	deal	VERB
bracis-28355	2	11	with	with	ADP
bracis-28355	2	12	how	how	SCONJ
bracis-28355	2	13	to	to	PART
bracis-28355	2	14	include	include	VERB
bracis-28355	2	15	fairness	fairness	NOUN
bracis-28355	2	16	aspects	aspect	NOUN
bracis-28355	2	17	in	in	ADP
bracis-28355	2	18	the	the	DET
bracis-28355	2	19	design	design	NOUN
bracis-28355	2	20	of	of	ADP
bracis-28355	2	21	algorithms	algorithm	NOUN
bracis-28355	2	22	.	.	PUNCT
bracis-28355	3	1	with	with	ADP
bracis-28355	3	2	this	this	PRON
bracis-28355	3	3	in	in	ADP
bracis-28355	3	4	mind	mind	NOUN
bracis-28355	3	5	,	,	PUNCT
bracis-28355	3	6	we	we	PRON
bracis-28355	3	7	define	define	VERB
bracis-28355	3	8	a	a	DET
bracis-28355	3	9	new	new	ADJ
bracis-28355	3	10	problem	problem	NOUN
bracis-28355	3	11	of	of	ADP
bracis-28355	3	12	fair	fair	ADJ
bracis-28355	3	13	coverage	coverage	NOUN
bracis-28355	3	14	called	call	VERB
bracis-28355	3	15	multi	multi	ADJ
bracis-28355	3	16	-	-	ADJ
bracis-28355	3	17	attribute	attribute	ADJ
bracis-28355	3	18	fairer	fair	ADJ
bracis-28355	3	19	cover	cover	NOUN
bracis-28355	3	20	,	,	PUNCT
bracis-28355	3	21	that	that	SCONJ
bracis-28355	3	22	deals	deal	VERB
bracis-28355	3	23	with	with	ADP
bracis-28355	3	24	the	the	DET
bracis-28355	3	25	task	task	NOUN
bracis-28355	3	26	of	of	ADP
bracis-28355	3	27	selecting	select	VERB
bracis-28355	3	28	a	a	DET
bracis-28355	3	29	subset	subset	NOUN
bracis-28355	3	30	for	for	ADP
bracis-28355	3	31	training	training	NOUN
bracis-28355	3	32	that	that	PRON
bracis-28355	3	33	is	be	AUX
bracis-28355	3	34	as	as	ADV
bracis-28355	3	35	fair	fair	ADJ
bracis-28355	3	36	as	as	ADP
bracis-28355	3	37	possible	possible	ADJ
bracis-28355	3	38	.	.	PUNCT
bracis-28355	4	1	we	we	PRON
bracis-28355	4	2	applied	apply	VERB
bracis-28355	4	3	our	our	PRON
bracis-28355	4	4	method	method	NOUN
bracis-28355	4	5	to	to	ADP
bracis-28355	4	6	the	the	DET
bracis-28355	4	7	age	age	NOUN
bracis-28355	4	8	regression	regression	NOUN
bracis-28355	4	9	model	model	NOUN
bracis-28355	4	10	using	use	VERB
bracis-28355	4	11	instances	instance	NOUN
bracis-28355	4	12	from	from	ADP
bracis-28355	4	13	the	the	DET
bracis-28355	4	14	utkface	utkface	NOUN
bracis-28355	4	15	dataset	dataset	NOUN
bracis-28355	4	16	.	.	PUNCT
bracis-28355	5	1	we	we	PRON
bracis-28355	5	2	also	also	ADV
bracis-28355	5	3	present	present	VERB
bracis-28355	5	4	computational	computational	ADJ
bracis-28355	5	5	experiments	experiment	NOUN
bracis-28355	5	6	for	for	ADP
bracis-28355	5	7	an	an	DET
bracis-28355	5	8	integer	integer	NOUN
bracis-28355	5	9	linear	linear	NOUN
bracis-28355	5	10	programming	programming	NOUN
bracis-28355	5	11	model	model	NOUN
bracis-28355	5	12	and	and	CCONJ
bracis-28355	5	13	for	for	ADP
bracis-28355	5	14	the	the	DET
bracis-28355	5	15	age	age	NOUN
bracis-28355	5	16	regression	regression	NOUN
bracis-28355	5	17	model	model	NOUN
bracis-28355	5	18	.	.	PUNCT
bracis-28355	6	1	the	the	DET
bracis-28355	6	2	experiments	experiment	NOUN
bracis-28355	6	3	showed	show	VERB
bracis-28355	6	4	significant	significant	ADJ
bracis-28355	6	5	reduction	reduction	NOUN
bracis-28355	6	6	on	on	ADP
bracis-28355	6	7	the	the	DET
bracis-28355	6	8	error	error	NOUN
bracis-28355	6	9	of	of	ADP
bracis-28355	6	10	the	the	DET
bracis-28355	6	11	regression	regression	NOUN
bracis-28355	6	12	model	model	NOUN
bracis-28355	6	13	when	when	SCONJ
bracis-28355	6	14	compared	compare	VERB
bracis-28355	6	15	to	to	ADP
bracis-28355	6	16	a	a	DET
bracis-28355	6	17	random	random	ADJ
bracis-28355	6	18	selection	selection	NOUN
bracis-28355	6	19	.	.	PUNCT
bracis-28355	7	1	access	access	NOUN
bracis-28355	7	2	provided	provide	VERB
bracis-28355	7	3	by	by	ADP
bracis-28355	7	4	university	university	PROPN
bracis-28355	7	5	of	of	ADP
bracis-28355	7	6	notre	notre	PROPN
bracis-28355	7	7	dame	dame	PROPN
bracis-28355	7	8	hesburgh	hesburgh	PROPN
bracis-28355	7	9	library	library	PROPN
bracis-28355	7	10	.	.	PUNCT
bracis-28355	8	1	download	download	PROPN
bracis-28355	8	2	conference	conference	NOUN
bracis-28355	8	3	paper	paper	NOUN
bracis-28355	8	4	pdf	pdf	NOUN
bracis-28355	8	5	similar	similar	ADJ
bracis-28355	8	6	content	content	NOUN
bracis-28355	8	7	being	be	AUX
bracis-28355	8	8	viewed	view	VERB
bracis-28355	8	9	by	by	ADP
bracis-28355	8	10	others	other	NOUN
bracis-28355	8	11	maximizing	maximize	VERB
bracis-28355	8	12	coverage	coverage	NOUN
bracis-28355	8	13	while	while	SCONJ
bracis-28355	8	14	ensuring	ensure	VERB
bracis-28355	8	15	fairness	fairness	NOUN
bracis-28355	8	16	:	:	PUNCT
bracis-28355	8	17	a	a	DET
bracis-28355	8	18	tale	tale	NOUN
bracis-28355	8	19	of	of	ADP
bracis-28355	8	20	conflicting	conflict	VERB
bracis-28355	8	21	objectives	objective	NOUN
bracis-28355	8	22	article	article	NOUN
bracis-28355	8	23	07	07	NUM
bracis-28355	8	24	december	december	PROPN
bracis-28355	8	25	2022	2022	NUM
bracis-28355	8	26	general	general	ADJ
bracis-28355	8	27	procedure	procedure	NOUN
bracis-28355	8	28	to	to	PART
bracis-28355	8	29	measure	measure	VERB
bracis-28355	8	30	fairness	fairness	NOUN
bracis-28355	8	31	in	in	ADP
bracis-28355	8	32	regression	regression	NOUN
bracis-28355	8	33	problems	problem	NOUN
bracis-28355	8	34	article	article	PROPN
bracis-28355	8	35	open	open	ADJ
bracis-28355	8	36	access	access	NOUN
bracis-28355	8	37	13	13	NUM
bracis-28355	8	38	february	february	NOUN
bracis-28355	8	39	2025	2025	NUM
bracis-28355	8	40	matching	matching	NOUN
bracis-28355	8	41	code	code	NOUN
bracis-28355	8	42	and	and	CCONJ
bracis-28355	8	43	law	law	NOUN
bracis-28355	8	44	:	:	PUNCT
bracis-28355	8	45	achieving	achieve	VERB
bracis-28355	8	46	algorithmic	algorithmic	ADJ
bracis-28355	8	47	fairness	fairness	NOUN
bracis-28355	8	48	with	with	ADP
bracis-28355	8	49	optimal	optimal	ADJ
bracis-28355	8	50	transport	transport	NOUN
bracis-28355	8	51	article	article	NOUN
bracis-28355	8	52	01	01	NUM
bracis-28355	8	53	november	november	PROPN
bracis-28355	8	54	2019	2019	NUM
bracis-28355	8	55	explore	explore	VERB
bracis-28355	8	56	related	relate	VERB
bracis-28355	8	57	subjects	subject	NOUN
bracis-28355	8	58	discover	discover	VERB
bracis-28355	8	59	the	the	DET
bracis-28355	8	60	latest	late	ADJ
bracis-28355	8	61	articles	article	NOUN
bracis-28355	8	62	,	,	PUNCT
bracis-28355	8	63	books	book	NOUN
bracis-28355	8	64	and	and	CCONJ
bracis-28355	8	65	news	news	NOUN
bracis-28355	8	66	in	in	ADP
bracis-28355	8	67	related	related	ADJ
bracis-28355	8	68	subjects	subject	NOUN
bracis-28355	8	69	,	,	PUNCT
bracis-28355	8	70	suggested	suggest	VERB
bracis-28355	8	71	using	use	VERB
bracis-28355	8	72	machine	machine	NOUN
bracis-28355	8	73	learning	learning	NOUN
bracis-28355	8	74	.	.	PUNCT
bracis-28355	9	1	algorithms	algorithms	PROPN
bracis-28355	9	2	computational	computational	ADJ
bracis-28355	9	3	social	social	ADJ
bracis-28355	9	4	sciences	science	NOUN
bracis-28355	9	5	computer	computer	NOUN
bracis-28355	9	6	ethics	ethic	NOUN
bracis-28355	9	7	learning	learn	VERB
bracis-28355	9	8	algorithms	algorithm	NOUN
bracis-28355	9	9	machine	machine	NOUN
bracis-28355	9	10	learning	learn	VERB
bracis-28355	9	11	statistical	statistical	ADJ
bracis-28355	9	12	learning	learn	VERB
bracis-28355	9	13	1	1	NUM
bracis-28355	9	14	introduction	introduction	NOUN
bracis-28355	9	15	in	in	ADP
bracis-28355	9	16	recent	recent	ADJ
bracis-28355	9	17	years	year	NOUN
bracis-28355	9	18	,	,	PUNCT
bracis-28355	9	19	there	there	PRON
bracis-28355	9	20	have	have	AUX
bracis-28355	9	21	been	be	AUX
bracis-28355	9	22	a	a	DET
bracis-28355	9	23	surge	surge	NOUN
bracis-28355	9	24	of	of	ADP
bracis-28355	9	25	cases	case	NOUN
bracis-28355	9	26	where	where	SCONJ
bracis-28355	9	27	algorithms	algorithm	NOUN
bracis-28355	9	28	applications	application	NOUN
bracis-28355	9	29	have	have	AUX
bracis-28355	9	30	been	be	AUX
bracis-28355	9	31	linked	link	VERB
bracis-28355	9	32	to	to	ADP
bracis-28355	9	33	some	some	DET
bracis-28355	9	34	sort	sort	NOUN
bracis-28355	9	35	of	of	ADP
bracis-28355	9	36	discrimination	discrimination	NOUN
bracis-28355	9	37	towards	towards	ADP
bracis-28355	9	38	a	a	DET
bracis-28355	9	39	minority	minority	NOUN
bracis-28355	9	40	group	group	NOUN
bracis-28355	9	41	of	of	ADP
bracis-28355	9	42	people	people	NOUN
bracis-28355	9	43	.	.	PUNCT
bracis-28355	10	1	these	these	DET
bracis-28355	10	2	cases	case	NOUN
bracis-28355	10	3	are	be	AUX
bracis-28355	10	4	known	know	VERB
bracis-28355	10	5	as	as	ADP
bracis-28355	10	6	algorithmic	algorithmic	ADJ
bracis-28355	10	7	injustice	injustice	NOUN
bracis-28355	10	8	,	,	PUNCT
bracis-28355	10	9	or	or	CCONJ
bracis-28355	10	10	even	even	ADV
bracis-28355	10	11	algorithmic	algorithmic	ADJ
bracis-28355	10	12	racism	racism	NOUN
bracis-28355	10	13	,	,	PUNCT
bracis-28355	10	14	when	when	SCONJ
bracis-28355	10	15	the	the	DET
bracis-28355	10	16	discrimination	discrimination	NOUN
bracis-28355	10	17	is	be	AUX
bracis-28355	10	18	based	base	VERB
bracis-28355	10	19	on	on	ADP
bracis-28355	10	20	race	race	NOUN
bracis-28355	10	21	.	.	PUNCT
bracis-28355	11	1	silva	silva	NOUN
bracis-28355	11	2	 	 	SPACE
bracis-28355	12	1	[	[	X
bracis-28355	12	2	12	12	NUM
bracis-28355	12	3	]	]	PUNCT
bracis-28355	12	4	has	have	AUX
bracis-28355	12	5	compiled	compile	VERB
bracis-28355	12	6	a	a	DET
bracis-28355	12	7	timeline	timeline	NOUN
bracis-28355	12	8	showing	show	VERB
bracis-28355	12	9	that	that	PRON
bracis-28355	12	10	illustrates	illustrate	VERB
bracis-28355	12	11	the	the	DET
bracis-28355	12	12	increasing	increase	VERB
bracis-28355	12	13	frequency	frequency	NOUN
bracis-28355	12	14	of	of	ADP
bracis-28355	12	15	news	news	NOUN
bracis-28355	12	16	reports	report	NOUN
bracis-28355	12	17	on	on	ADP
bracis-28355	12	18	such	such	ADJ
bracis-28355	12	19	cases	case	NOUN
bracis-28355	12	20	.	.	PUNCT
bracis-28355	13	1	algorithms	algorithm	NOUN
bracis-28355	13	2	have	have	AUX
bracis-28355	13	3	been	be	AUX
bracis-28355	13	4	extensively	extensively	ADV
bracis-28355	13	5	used	use	VERB
bracis-28355	13	6	in	in	ADP
bracis-28355	13	7	the	the	DET
bracis-28355	13	8	decision	decision	NOUN
bracis-28355	13	9	making	make	VERB
bracis-28355	13	10	process	process	NOUN
bracis-28355	13	11	.	.	PUNCT
bracis-28355	14	1	the	the	DET
bracis-28355	14	2	level	level	NOUN
bracis-28355	14	3	of	of	ADP
bracis-28355	14	4	human	human	ADJ
bracis-28355	14	5	participation	participation	NOUN
bracis-28355	14	6	varies	vary	VERB
bracis-28355	14	7	in	in	ADP
bracis-28355	14	8	these	these	DET
bracis-28355	14	9	decisions	decision	NOUN
bracis-28355	14	10	.	.	PUNCT
bracis-28355	15	1	for	for	ADP
bracis-28355	15	2	example	example	NOUN
bracis-28355	15	3	,	,	PUNCT
bracis-28355	15	4	o’neil	o’neil	PROPN
bracis-28355	15	5	 	 	SPACE
bracis-28355	15	6	[	[	X
bracis-28355	15	7	10	10	NUM
bracis-28355	15	8	]	]	ADJ
bracis-28355	15	9	reports	report	NOUN
bracis-28355	15	10	on	on	ADP
bracis-28355	15	11	the	the	DET
bracis-28355	15	12	case	case	NOUN
bracis-28355	15	13	where	where	SCONJ
bracis-28355	15	14	american	american	ADJ
bracis-28355	15	15	teachers	teacher	NOUN
bracis-28355	15	16	are	be	AUX
bracis-28355	15	17	evaluated	evaluate	VERB
bracis-28355	15	18	by	by	ADP
bracis-28355	15	19	a	a	DET
bracis-28355	15	20	proprietary	proprietary	ADJ
bracis-28355	15	21	algorithms	algorithm	NOUN
bracis-28355	15	22	and	and	CCONJ
bracis-28355	15	23	are	be	AUX
bracis-28355	15	24	required	require	VERB
bracis-28355	15	25	to	to	PART
bracis-28355	15	26	keep	keep	VERB
bracis-28355	15	27	a	a	DET
bracis-28355	15	28	certain	certain	ADJ
bracis-28355	15	29	score	score	NOUN
bracis-28355	15	30	.	.	PUNCT
bracis-28355	16	1	although	although	SCONJ
bracis-28355	16	2	these	these	DET
bracis-28355	16	3	scores	score	NOUN
bracis-28355	16	4	can	can	AUX
bracis-28355	16	5	affect	affect	VERB
bracis-28355	16	6	their	their	PRON
bracis-28355	16	7	careers	career	NOUN
bracis-28355	16	8	,	,	PUNCT
bracis-28355	16	9	the	the	DET
bracis-28355	16	10	teachers	teacher	NOUN
bracis-28355	16	11	have	have	VERB
bracis-28355	16	12	no	no	DET
bracis-28355	16	13	idea	idea	NOUN
bracis-28355	16	14	how	how	SCONJ
bracis-28355	16	15	the	the	DET
bracis-28355	16	16	scores	score	NOUN
bracis-28355	16	17	are	be	AUX
bracis-28355	16	18	assigned	assign	VERB
bracis-28355	16	19	by	by	ADP
bracis-28355	16	20	the	the	DET
bracis-28355	16	21	algorithm	algorithm	NOUN
bracis-28355	16	22	.	.	PUNCT
bracis-28355	17	1	in	in	ADP
bracis-28355	17	2	this	this	DET
bracis-28355	17	3	example	example	NOUN
bracis-28355	17	4	,	,	PUNCT
bracis-28355	17	5	the	the	DET
bracis-28355	17	6	algorithms	algorithm	NOUN
bracis-28355	17	7	are	be	AUX
bracis-28355	17	8	helping	help	VERB
bracis-28355	17	9	on	on	ADP
bracis-28355	17	10	the	the	DET
bracis-28355	17	11	decision	decision	NOUN
bracis-28355	17	12	making	make	VERB
bracis-28355	17	13	process	process	NOUN
bracis-28355	17	14	,	,	PUNCT
bracis-28355	17	15	but	but	CCONJ
bracis-28355	17	16	one	one	NUM
bracis-28355	17	17	extreme	extreme	ADJ
bracis-28355	17	18	case	case	NOUN
bracis-28355	17	19	can	can	AUX
bracis-28355	17	20	be	be	AUX
bracis-28355	17	21	found	find	VERB
bracis-28355	17	22	in	in	ADP
bracis-28355	17	23	the	the	DET
bracis-28355	17	24	report	report	NOUN
bracis-28355	17	25	by	by	ADP
bracis-28355	17	26	soper	soper	PROPN
bracis-28355	17	27	 	 	SPACE
bracis-28355	18	1	[	[	X
bracis-28355	18	2	13	13	NUM
bracis-28355	18	3	]	]	PUNCT
bracis-28355	18	4	.	.	PUNCT
bracis-28355	19	1	the	the	DET
bracis-28355	19	2	author	author	NOUN
bracis-28355	19	3	showcases	showcase	VERB
bracis-28355	19	4	how	how	SCONJ
bracis-28355	19	5	some	some	DET
bracis-28355	19	6	human	human	ADJ
bracis-28355	19	7	-	-	PUNCT
bracis-28355	19	8	resources	resource	NOUN
bracis-28355	19	9	operations	operation	NOUN
bracis-28355	19	10	from	from	ADP
bracis-28355	19	11	an	an	DET
bracis-28355	19	12	online	online	ADJ
bracis-28355	19	13	retailer	retailer	NOUN
bracis-28355	19	14	have	have	AUX
bracis-28355	19	15	supposedly	supposedly	ADV
bracis-28355	19	16	been	be	AUX
bracis-28355	19	17	transferred	transfer	VERB
bracis-28355	19	18	to	to	ADP
bracis-28355	19	19	algorithms	algorithm	NOUN
bracis-28355	19	20	.	.	PUNCT
bracis-28355	20	1	the	the	DET
bracis-28355	20	2	report	report	NOUN
bracis-28355	20	3	discusses	discuss	VERB
bracis-28355	20	4	how	how	SCONJ
bracis-28355	20	5	the	the	DET
bracis-28355	20	6	decisions	decision	NOUN
bracis-28355	20	7	made	make	VERB
bracis-28355	20	8	by	by	ADP
bracis-28355	20	9	these	these	DET
bracis-28355	20	10	algorithms	algorithm	NOUN
bracis-28355	20	11	are	be	AUX
bracis-28355	20	12	affecting	affect	VERB
bracis-28355	20	13	the	the	DET
bracis-28355	20	14	lives	life	NOUN
bracis-28355	20	15	of	of	ADP
bracis-28355	20	16	their	their	PRON
bracis-28355	20	17	collaborators	collaborator	NOUN
bracis-28355	20	18	,	,	PUNCT
bracis-28355	20	19	culminating	culminate	VERB
bracis-28355	20	20	even	even	ADV
bracis-28355	20	21	on	on	ADP
bracis-28355	20	22	wrongful	wrongful	ADJ
bracis-28355	20	23	terminations	termination	NOUN
bracis-28355	20	24	.	.	PUNCT
bracis-28355	21	1	with	with	ADP
bracis-28355	21	2	the	the	DET
bracis-28355	21	3	increased	increase	VERB
bracis-28355	21	4	use	use	NOUN
bracis-28355	21	5	of	of	ADP
bracis-28355	21	6	these	these	DET
bracis-28355	21	7	tools	tool	NOUN
bracis-28355	21	8	,	,	PUNCT
bracis-28355	21	9	the	the	DET
bracis-28355	21	10	scientific	scientific	ADJ
bracis-28355	21	11	community	community	NOUN
bracis-28355	21	12	has	have	AUX
bracis-28355	21	13	been	be	AUX
bracis-28355	21	14	reacting	react	VERB
bracis-28355	21	15	and	and	CCONJ
bracis-28355	21	16	giving	give	VERB
bracis-28355	21	17	attention	attention	NOUN
bracis-28355	21	18	to	to	ADP
bracis-28355	21	19	the	the	DET
bracis-28355	21	20	potential	potential	ADJ
bracis-28355	21	21	problems	problem	NOUN
bracis-28355	21	22	that	that	SCONJ
bracis-28355	21	23	the	the	DET
bracis-28355	21	24	indiscriminate	indiscriminate	ADJ
bracis-28355	21	25	use	use	NOUN
bracis-28355	21	26	of	of	ADP
bracis-28355	21	27	these	these	DET
bracis-28355	21	28	tools	tool	NOUN
bracis-28355	21	29	may	may	AUX
bracis-28355	21	30	cause	cause	VERB
bracis-28355	21	31	.	.	PUNCT
bracis-28355	22	1	for	for	ADP
bracis-28355	22	2	instance	instance	NOUN
bracis-28355	22	3	,	,	PUNCT
bracis-28355	22	4	chung	chung	PROPN
bracis-28355	22	5	 	 	SPACE
bracis-28355	23	1	[	[	X
bracis-28355	23	2	2	2	NUM
bracis-28355	23	3	]	]	PUNCT
bracis-28355	23	4	has	have	AUX
bracis-28355	23	5	presented	present	VERB
bracis-28355	23	6	an	an	DET
bracis-28355	23	7	extensive	extensive	ADJ
bracis-28355	23	8	research	research	NOUN
bracis-28355	23	9	of	of	ADP
bracis-28355	23	10	cases	case	NOUN
bracis-28355	23	11	of	of	ADP
bracis-28355	23	12	algorithmic	algorithmic	ADJ
bracis-28355	23	13	racism	racism	NOUN
bracis-28355	23	14	.	.	PUNCT
bracis-28355	24	1	they	they	PRON
bracis-28355	24	2	pointed	point	VERB
bracis-28355	24	3	out	out	ADP
bracis-28355	24	4	among	among	ADP
bracis-28355	24	5	others	other	NOUN
bracis-28355	24	6	things	thing	NOUN
bracis-28355	24	7	that	that	PRON
bracis-28355	24	8	we	we	PRON
bracis-28355	24	9	need	need	VERB
bracis-28355	24	10	to	to	PART
bracis-28355	24	11	address	address	VERB
bracis-28355	24	12	the	the	DET
bracis-28355	24	13	issues	issue	NOUN
bracis-28355	24	14	of	of	ADP
bracis-28355	24	15	fairness	fairness	NOUN
bracis-28355	24	16	during	during	ADP
bracis-28355	24	17	the	the	DET
bracis-28355	24	18	design	design	NOUN
bracis-28355	24	19	of	of	ADP
bracis-28355	24	20	the	the	DET
bracis-28355	24	21	algorithm	algorithm	NOUN
bracis-28355	24	22	,	,	PUNCT
bracis-28355	24	23	as	as	ADV
bracis-28355	24	24	well	well	ADV
bracis-28355	24	25	as	as	ADP
bracis-28355	24	26	explicitly	explicitly	ADV
bracis-28355	24	27	including	include	VERB
bracis-28355	24	28	protected	protect	VERB
bracis-28355	24	29	attributes	attribute	NOUN
bracis-28355	24	30	in	in	ADP
bracis-28355	24	31	auditing	auditing	NOUN
bracis-28355	24	32	processes	process	NOUN
bracis-28355	24	33	in	in	ADP
bracis-28355	24	34	order	order	NOUN
bracis-28355	24	35	to	to	PART
bracis-28355	24	36	properly	properly	ADV
bracis-28355	24	37	identify	identify	VERB
bracis-28355	24	38	bias	bias	NOUN
bracis-28355	24	39	.	.	PUNCT
bracis-28355	25	1	it	it	PRON
bracis-28355	25	2	has	have	AUX
bracis-28355	25	3	been	be	AUX
bracis-28355	25	4	shown	show	VERB
bracis-28355	25	5	that	that	SCONJ
bracis-28355	25	6	including	include	VERB
bracis-28355	25	7	these	these	DET
bracis-28355	25	8	attributes	attribute	NOUN
bracis-28355	25	9	even	even	ADV
bracis-28355	25	10	on	on	ADP
bracis-28355	25	11	the	the	DET
bracis-28355	25	12	training	training	NOUN
bracis-28355	25	13	phase	phase	NOUN
bracis-28355	25	14	can	can	AUX
bracis-28355	25	15	improve	improve	VERB
bracis-28355	25	16	accuracy	accuracy	NOUN
bracis-28355	25	17	 	 	SPACE
bracis-28355	26	1	[	[	X
bracis-28355	26	2	6	6	NUM
bracis-28355	26	3	,	,	PUNCT
bracis-28355	26	4	8	8	NUM
bracis-28355	26	5	]	]	PUNCT
bracis-28355	26	6	.	.	PUNCT
bracis-28355	27	1	there	there	PRON
bracis-28355	27	2	are	be	VERB
bracis-28355	27	3	several	several	ADJ
bracis-28355	27	4	approaches	approach	NOUN
bracis-28355	27	5	to	to	PART
bracis-28355	27	6	insert	insert	VERB
bracis-28355	27	7	fairness	fairness	NOUN
bracis-28355	27	8	into	into	ADP
bracis-28355	27	9	models	model	NOUN
bracis-28355	27	10	and	and	CCONJ
bracis-28355	27	11	mitigate	mitigate	VERB
bracis-28355	27	12	the	the	DET
bracis-28355	27	13	problems	problem	NOUN
bracis-28355	27	14	a	a	DET
bracis-28355	27	15	biased	biased	ADJ
bracis-28355	27	16	model	model	NOUN
bracis-28355	27	17	may	may	AUX
bracis-28355	27	18	cause	cause	VERB
bracis-28355	27	19	.	.	PUNCT
bracis-28355	28	1	for	for	ADP
bracis-28355	28	2	example	example	NOUN
bracis-28355	28	3	,	,	PUNCT
bracis-28355	28	4	galhotra	galhotra	ADJ
bracis-28355	28	5	 	 	SPACE
bracis-28355	28	6	et	et	PROPN
bracis-28355	28	7	al	al	PROPN
bracis-28355	28	8	.	.	PUNCT
bracis-28355	28	9	 	 	SPACE
bracis-28355	29	1	[	[	X
bracis-28355	29	2	4	4	X
bracis-28355	29	3	]	]	PUNCT
bracis-28355	29	4	investigated	investigate	VERB
bracis-28355	29	5	the	the	DET
bracis-28355	29	6	selection	selection	NOUN
bracis-28355	29	7	of	of	ADP
bracis-28355	29	8	features	feature	NOUN
bracis-28355	29	9	in	in	ADP
bracis-28355	29	10	order	order	NOUN
bracis-28355	29	11	to	to	PART
bracis-28355	29	12	ensure	ensure	VERB
bracis-28355	29	13	a	a	DET
bracis-28355	29	14	fairer	fair	ADJ
bracis-28355	29	15	model	model	NOUN
bracis-28355	29	16	,	,	PUNCT
bracis-28355	29	17	paying	pay	VERB
bracis-28355	29	18	special	special	ADJ
bracis-28355	29	19	attention	attention	NOUN
bracis-28355	29	20	to	to	ADP
bracis-28355	29	21	sensitive	sensitive	ADJ
bracis-28355	29	22	characteristics	characteristic	NOUN
bracis-28355	29	23	.	.	PUNCT
bracis-28355	30	1	roh	roh	PROPN
bracis-28355	30	2	 	 	SPACE
bracis-28355	30	3	et	et	PROPN
bracis-28355	30	4	al	al	PROPN
bracis-28355	30	5	.	.	PUNCT
bracis-28355	30	6	 	 	SPACE
bracis-28355	31	1	[	[	X
bracis-28355	31	2	11	11	NUM
bracis-28355	31	3	]	]	PUNCT
bracis-28355	31	4	presented	present	VERB
bracis-28355	31	5	a	a	DET
bracis-28355	31	6	greedy	greedy	ADJ
bracis-28355	31	7	algorithm	algorithm	NOUN
bracis-28355	31	8	to	to	PART
bracis-28355	31	9	select	select	VERB
bracis-28355	31	10	a	a	DET
bracis-28355	31	11	fair	fair	ADJ
bracis-28355	31	12	subset	subset	NOUN
bracis-28355	31	13	during	during	ADP
bracis-28355	31	14	the	the	DET
bracis-28355	31	15	sampling	sample	VERB
bracis-28355	31	16	step	step	NOUN
bracis-28355	31	17	in	in	ADP
bracis-28355	31	18	the	the	DET
bracis-28355	31	19	batch	batch	NOUN
bracis-28355	31	20	selection	selection	NOUN
bracis-28355	31	21	.	.	PUNCT
bracis-28355	32	1	asudeh	asudeh	PROPN
bracis-28355	32	2	 	 	SPACE
bracis-28355	32	3	et	et	PROPN
bracis-28355	32	4	al	al	PROPN
bracis-28355	32	5	.	.	PUNCT
bracis-28355	32	6	 	 	SPACE
bracis-28355	33	1	[	[	X
bracis-28355	33	2	1	1	X
bracis-28355	33	3	]	]	PUNCT
bracis-28355	33	4	proposed	propose	VERB
bracis-28355	33	5	that	that	SCONJ
bracis-28355	33	6	fairness	fairness	NOUN
bracis-28355	33	7	be	be	AUX
bracis-28355	33	8	considered	consider	VERB
bracis-28355	33	9	in	in	ADP
bracis-28355	33	10	a	a	DET
bracis-28355	33	11	the	the	DET
bracis-28355	33	12	coverage	coverage	NOUN
bracis-28355	33	13	problem	problem	NOUN
bracis-28355	33	14	.	.	PUNCT
bracis-28355	34	1	they	they	PRON
bracis-28355	34	2	defined	define	VERB
bracis-28355	34	3	a	a	DET
bracis-28355	34	4	combinatorial	combinatorial	ADJ
bracis-28355	34	5	optimization	optimization	NOUN
bracis-28355	34	6	problem	problem	NOUN
bracis-28355	34	7	that	that	SCONJ
bracis-28355	34	8	,	,	PUNCT
bracis-28355	34	9	given	give	VERB
bracis-28355	34	10	a	a	DET
bracis-28355	34	11	universe	universe	ADJ
bracis-28355	34	12	set	set	NOUN
bracis-28355	34	13	of	of	ADP
bracis-28355	34	14	colored	colored	ADJ
bracis-28355	34	15	elements	element	NOUN
bracis-28355	34	16	and	and	CCONJ
bracis-28355	34	17	a	a	DET
bracis-28355	34	18	family	family	NOUN
bracis-28355	34	19	of	of	ADP
bracis-28355	34	20	subsets	subset	NOUN
bracis-28355	34	21	,	,	PUNCT
bracis-28355	34	22	aims	aim	VERB
bracis-28355	34	23	to	to	PART
bracis-28355	34	24	select	select	VERB
bracis-28355	34	25	k	k	PROPN
bracis-28355	34	26	subsets	subset	NOUN
bracis-28355	34	27	such	such	ADJ
bracis-28355	34	28	that	that	SCONJ
bracis-28355	34	29	the	the	DET
bracis-28355	34	30	number	number	NOUN
bracis-28355	34	31	of	of	ADP
bracis-28355	34	32	covered	covered	ADJ
bracis-28355	34	33	elements	element	NOUN
bracis-28355	34	34	is	be	AUX
bracis-28355	34	35	the	the	DET
bracis-28355	34	36	same	same	ADJ
bracis-28355	34	37	for	for	ADP
bracis-28355	34	38	each	each	DET
bracis-28355	34	39	color	color	NOUN
bracis-28355	34	40	and	and	CCONJ
bracis-28355	34	41	the	the	DET
bracis-28355	34	42	sum	sum	NOUN
bracis-28355	34	43	of	of	ADP
bracis-28355	34	44	the	the	DET
bracis-28355	34	45	weight	weight	NOUN
bracis-28355	34	46	of	of	ADP
bracis-28355	34	47	these	these	DET
bracis-28355	34	48	elements	element	NOUN
bracis-28355	34	49	is	be	AUX
bracis-28355	34	50	maximum	maximum	ADJ
bracis-28355	34	51	,	,	PUNCT
bracis-28355	34	52	showing	show	VERB
bracis-28355	34	53	that	that	SCONJ
bracis-28355	34	54	this	this	DET
bracis-28355	34	55	problem	problem	NOUN
bracis-28355	34	56	is	be	AUX
bracis-28355	34	57	np	np	INTJ
bracis-28355	34	58	-	-	PUNCT
bracis-28355	34	59	hard	hard	ADJ
bracis-28355	34	60	.	.	PUNCT
bracis-28355	35	1	based	base	VERB
bracis-28355	35	2	on	on	ADP
bracis-28355	35	3	this	this	DET
bracis-28355	35	4	interpretation	interpretation	NOUN
bracis-28355	35	5	of	of	ADP
bracis-28355	35	6	the	the	DET
bracis-28355	35	7	problem	problem	NOUN
bracis-28355	35	8	,	,	PUNCT
bracis-28355	35	9	dantas	danta	NOUN
bracis-28355	35	10	 	 	SPACE
bracis-28355	35	11	et	et	PROPN
bracis-28355	35	12	al	al	PROPN
bracis-28355	35	13	.	.	PUNCT
bracis-28355	35	14	 	 	SPACE
bracis-28355	36	1	[	[	X
bracis-28355	36	2	3	3	X
bracis-28355	36	3	]	]	PUNCT
bracis-28355	36	4	proposed	propose	VERB
bracis-28355	36	5	the	the	DET
bracis-28355	36	6	fairer	fair	ADJ
bracis-28355	36	7	cover	cover	NOUN
bracis-28355	36	8	problem	problem	NOUN
bracis-28355	36	9	,	,	PUNCT
bracis-28355	36	10	that	that	PRON
bracis-28355	36	11	removes	remove	VERB
bracis-28355	36	12	restriction	restriction	NOUN
bracis-28355	36	13	of	of	ADP
bracis-28355	36	14	having	have	VERB
bracis-28355	36	15	the	the	DET
bracis-28355	36	16	same	same	ADJ
bracis-28355	36	17	number	number	NOUN
bracis-28355	36	18	of	of	ADP
bracis-28355	36	19	covered	cover	VERB
bracis-28355	36	20	elements	element	NOUN
bracis-28355	36	21	from	from	ADP
bracis-28355	36	22	each	each	DET
bracis-28355	36	23	class	class	NOUN
bracis-28355	36	24	and	and	CCONJ
bracis-28355	36	25	puts	put	VERB
bracis-28355	36	26	this	this	PRON
bracis-28355	36	27	in	in	ADP
bracis-28355	36	28	the	the	DET
bracis-28355	36	29	objective	objective	ADJ
bracis-28355	36	30	function	function	NOUN
bracis-28355	36	31	.	.	PUNCT
bracis-28355	37	1	therefore	therefore	ADV
bracis-28355	37	2	,	,	PUNCT
bracis-28355	37	3	the	the	DET
bracis-28355	37	4	goal	goal	NOUN
bracis-28355	37	5	is	be	AUX
bracis-28355	37	6	to	to	PART
bracis-28355	37	7	find	find	VERB
bracis-28355	37	8	a	a	DET
bracis-28355	37	9	cover	cover	NOUN
bracis-28355	37	10	that	that	PRON
bracis-28355	37	11	is	be	AUX
bracis-28355	37	12	as	as	ADV
bracis-28355	37	13	fair	fair	ADJ
bracis-28355	37	14	as	as	ADP
bracis-28355	37	15	possible	possible	ADJ
bracis-28355	37	16	.	.	PUNCT
bracis-28355	38	1	both	both	PRON
bracis-28355	38	2	of	of	ADP
bracis-28355	38	3	these	these	DET
bracis-28355	38	4	works	work	NOUN
bracis-28355	38	5	consider	consider	VERB
bracis-28355	38	6	fairness	fairness	NOUN
bracis-28355	38	7	as	as	ADP
bracis-28355	38	8	a	a	DET
bracis-28355	38	9	part	part	NOUN
bracis-28355	38	10	of	of	ADP
bracis-28355	38	11	the	the	DET
bracis-28355	38	12	algorithm	algorithm	NOUN
bracis-28355	38	13	design	design	NOUN
bracis-28355	38	14	,	,	PUNCT
bracis-28355	38	15	instead	instead	ADV
bracis-28355	38	16	of	of	ADP
bracis-28355	38	17	just	just	ADV
bracis-28355	38	18	optimizing	optimize	VERB
bracis-28355	38	19	models	model	NOUN
bracis-28355	38	20	regardless	regardless	ADV
bracis-28355	38	21	of	of	ADP
bracis-28355	38	22	the	the	DET
bracis-28355	38	23	impact	impact	NOUN
bracis-28355	38	24	in	in	ADP
bracis-28355	38	25	the	the	DET
bracis-28355	38	26	different	different	ADJ
bracis-28355	38	27	classes	class	NOUN
bracis-28355	38	28	.	.	PUNCT
bracis-28355	39	1	in	in	ADP
bracis-28355	39	2	this	this	DET
bracis-28355	39	3	work	work	NOUN
bracis-28355	39	4	,	,	PUNCT
bracis-28355	39	5	we	we	PRON
bracis-28355	39	6	conjecture	conjecture	VERB
bracis-28355	39	7	that	that	SCONJ
bracis-28355	39	8	a	a	DET
bracis-28355	39	9	fair	fair	ADJ
bracis-28355	39	10	training	training	NOUN
bracis-28355	39	11	subset	subset	NOUN
bracis-28355	39	12	will	will	AUX
bracis-28355	39	13	improve	improve	VERB
bracis-28355	39	14	the	the	DET
bracis-28355	39	15	quality	quality	NOUN
bracis-28355	39	16	of	of	ADP
bracis-28355	39	17	a	a	DET
bracis-28355	39	18	machine	machine	NOUN
bracis-28355	39	19	learning	learn	VERB
bracis-28355	39	20	model	model	NOUN
bracis-28355	39	21	,	,	PUNCT
bracis-28355	39	22	specifically	specifically	ADV
bracis-28355	39	23	of	of	ADP
bracis-28355	39	24	a	a	DET
bracis-28355	39	25	regression	regression	NOUN
bracis-28355	39	26	model	model	NOUN
bracis-28355	39	27	.	.	PUNCT
bracis-28355	40	1	we	we	PRON
bracis-28355	40	2	present	present	VERB
bracis-28355	40	3	a	a	DET
bracis-28355	40	4	new	new	ADJ
bracis-28355	40	5	variation	variation	NOUN
bracis-28355	40	6	and	and	CCONJ
bracis-28355	40	7	application	application	NOUN
bracis-28355	40	8	of	of	ADP
bracis-28355	40	9	a	a	DET
bracis-28355	40	10	fair	fair	ADJ
bracis-28355	40	11	coverage	coverage	NOUN
bracis-28355	40	12	problem	problem	NOUN
bracis-28355	40	13	,	,	PUNCT
bracis-28355	40	14	and	and	CCONJ
bracis-28355	40	15	we	we	PRON
bracis-28355	40	16	define	define	VERB
bracis-28355	40	17	a	a	DET
bracis-28355	40	18	generalization	generalization	NOUN
bracis-28355	40	19	of	of	ADP
bracis-28355	40	20	the	the	DET
bracis-28355	40	21	fairer	fair	ADJ
bracis-28355	40	22	cover	cover	NOUN
bracis-28355	40	23	problem	problem	NOUN
bracis-28355	40	24	introduced	introduce	VERB
bracis-28355	40	25	by	by	ADP
bracis-28355	40	26	dantas	danta	NOUN
bracis-28355	40	27	 	 	SPACE
bracis-28355	40	28	et	et	PROPN
bracis-28355	40	29	al	al	PROPN
bracis-28355	40	30	.	.	PUNCT
bracis-28355	40	31	 	 	SPACE
bracis-28355	41	1	[	[	X
bracis-28355	41	2	3	3	NUM
bracis-28355	41	3	]	]	PUNCT
bracis-28355	41	4	,	,	PUNCT
bracis-28355	41	5	which	which	PRON
bracis-28355	41	6	we	we	PRON
bracis-28355	41	7	call	call	VERB
bracis-28355	41	8	as	as	ADP
bracis-28355	41	9	multi	multi	ADJ
bracis-28355	41	10	-	-	ADJ
bracis-28355	41	11	attribute	attribute	ADJ
bracis-28355	41	12	fairer	fair	ADJ
bracis-28355	41	13	cover	cover	NOUN
bracis-28355	41	14	.	.	PUNCT
bracis-28355	42	1	we	we	PRON
bracis-28355	42	2	propose	propose	VERB
bracis-28355	42	3	a	a	DET
bracis-28355	42	4	new	new	ADJ
bracis-28355	42	5	integer	integer	NOUN
bracis-28355	42	6	linear	linear	PROPN
bracis-28355	42	7	programming	programming	NOUN
bracis-28355	42	8	(	(	PUNCT
bracis-28355	42	9	ilp	ilp	NOUN
bracis-28355	42	10	)	)	PUNCT
bracis-28355	42	11	model	model	NOUN
bracis-28355	42	12	to	to	PART
bracis-28355	42	13	solve	solve	VERB
bracis-28355	42	14	instances	instance	NOUN
bracis-28355	42	15	of	of	ADP
bracis-28355	42	16	this	this	DET
bracis-28355	42	17	problem	problem	NOUN
bracis-28355	42	18	and	and	CCONJ
bracis-28355	42	19	derive	derive	ADJ
bracis-28355	42	20	instances	instance	NOUN
bracis-28355	42	21	from	from	ADP
bracis-28355	42	22	the	the	DET
bracis-28355	42	23	facial	facial	ADJ
bracis-28355	42	24	dataset	dataset	NOUN
bracis-28355	42	25	utkfaces	utkface	NOUN
bracis-28355	42	26	.	.	PUNCT
bracis-28355	43	1	we	we	PRON
bracis-28355	43	2	also	also	ADV
bracis-28355	43	3	present	present	VERB
bracis-28355	43	4	computational	computational	ADJ
bracis-28355	43	5	experiments	experiment	NOUN
bracis-28355	43	6	for	for	ADP
bracis-28355	43	7	the	the	DET
bracis-28355	43	8	ilp	ilp	ADJ
bracis-28355	43	9	model	model	NOUN
bracis-28355	43	10	and	and	CCONJ
bracis-28355	43	11	attest	attest	VERB
bracis-28355	43	12	the	the	DET
bracis-28355	43	13	improvement	improvement	NOUN
bracis-28355	43	14	of	of	ADP
bracis-28355	43	15	the	the	DET
bracis-28355	43	16	age	age	NOUN
bracis-28355	43	17	regression	regression	NOUN
bracis-28355	43	18	model	model	NOUN
bracis-28355	43	19	when	when	SCONJ
bracis-28355	43	20	using	use	VERB
bracis-28355	43	21	a	a	DET
bracis-28355	43	22	fair	fair	ADJ
bracis-28355	43	23	subset	subset	NOUN
bracis-28355	43	24	in	in	ADP
bracis-28355	43	25	the	the	DET
bracis-28355	43	26	training	training	NOUN
bracis-28355	43	27	.	.	PUNCT
bracis-28355	44	1	the	the	DET
bracis-28355	44	2	experiments	experiment	NOUN
bracis-28355	44	3	showed	show	VERB
bracis-28355	44	4	significant	significant	ADJ
bracis-28355	44	5	reduction	reduction	NOUN
bracis-28355	44	6	on	on	ADP
bracis-28355	44	7	the	the	DET
bracis-28355	44	8	error	error	NOUN
bracis-28355	44	9	of	of	ADP
bracis-28355	44	10	the	the	DET
bracis-28355	44	11	regression	regression	NOUN
bracis-28355	44	12	model	model	NOUN
bracis-28355	44	13	.	.	PUNCT
bracis-28355	45	1	the	the	DET
bracis-28355	45	2	remainder	remainder	NOUN
bracis-28355	45	3	of	of	ADP
bracis-28355	45	4	this	this	DET
bracis-28355	45	5	paper	paper	NOUN
bracis-28355	45	6	is	be	AUX
bracis-28355	45	7	organized	organize	VERB
bracis-28355	45	8	as	as	SCONJ
bracis-28355	45	9	follows	follow	VERB
bracis-28355	45	10	.	.	PUNCT
bracis-28355	46	1	in	in	ADP
bracis-28355	46	2	sect	sect	NOUN
bracis-28355	46	3	.	.	PUNCT
bracis-28355	46	4	 	 	SPACE
bracis-28355	46	5	2	2	NUM
bracis-28355	46	6	,	,	PUNCT
bracis-28355	46	7	we	we	PRON
bracis-28355	46	8	explain	explain	VERB
bracis-28355	46	9	our	our	PRON
bracis-28355	46	10	methodology	methodology	NOUN
bracis-28355	46	11	,	,	PUNCT
bracis-28355	46	12	starting	start	VERB
bracis-28355	46	13	with	with	ADP
bracis-28355	46	14	a	a	DET
bracis-28355	46	15	few	few	ADJ
bracis-28355	46	16	notations	notation	NOUN
bracis-28355	46	17	,	,	PUNCT
bracis-28355	46	18	followed	follow	VERB
bracis-28355	46	19	by	by	ADP
bracis-28355	46	20	a	a	DET
bracis-28355	46	21	description	description	NOUN
bracis-28355	46	22	of	of	ADP
bracis-28355	46	23	the	the	DET
bracis-28355	46	24	dataset	dataset	NOUN
bracis-28355	46	25	used	use	VERB
bracis-28355	46	26	in	in	ADP
bracis-28355	46	27	the	the	DET
bracis-28355	46	28	computational	computational	ADJ
bracis-28355	46	29	experiments	experiment	NOUN
bracis-28355	46	30	and	and	CCONJ
bracis-28355	46	31	a	a	DET
bracis-28355	46	32	detailing	detailing	NOUN
bracis-28355	46	33	of	of	ADP
bracis-28355	46	34	our	our	PRON
bracis-28355	46	35	method	method	NOUN
bracis-28355	46	36	to	to	PART
bracis-28355	46	37	solve	solve	VERB
bracis-28355	46	38	the	the	DET
bracis-28355	46	39	fair	fair	ADJ
bracis-28355	46	40	coverage	coverage	NOUN
bracis-28355	46	41	problem	problem	NOUN
bracis-28355	46	42	.	.	PUNCT
bracis-28355	47	1	in	in	ADP
bracis-28355	47	2	sect	sect	NOUN
bracis-28355	47	3	.	.	PUNCT
bracis-28355	47	4	 	 	SPACE
bracis-28355	47	5	3	3	NUM
bracis-28355	47	6	,	,	PUNCT
bracis-28355	47	7	we	we	PRON
bracis-28355	47	8	present	present	VERB
bracis-28355	47	9	and	and	CCONJ
bracis-28355	47	10	discuss	discuss	VERB
bracis-28355	47	11	the	the	DET
bracis-28355	47	12	results	result	NOUN
bracis-28355	47	13	of	of	ADP
bracis-28355	47	14	our	our	PRON
bracis-28355	47	15	computational	computational	ADJ
bracis-28355	47	16	experiments	experiment	NOUN
bracis-28355	47	17	.	.	PUNCT
bracis-28355	48	1	lastly	lastly	ADV
bracis-28355	48	2	,	,	PUNCT
bracis-28355	48	3	in	in	ADP
bracis-28355	48	4	sect	sect	NOUN
bracis-28355	48	5	.	.	PUNCT
bracis-28355	48	6	 	 	SPACE
bracis-28355	48	7	4	4	NUM
bracis-28355	48	8	,	,	PUNCT
bracis-28355	48	9	we	we	PRON
bracis-28355	48	10	outline	outline	VERB
bracis-28355	48	11	our	our	PRON
bracis-28355	48	12	conclusions	conclusion	NOUN
bracis-28355	48	13	and	and	CCONJ
bracis-28355	48	14	point	point	VERB
bracis-28355	48	15	out	out	ADP
bracis-28355	48	16	future	future	ADJ
bracis-28355	48	17	work	work	NOUN
bracis-28355	48	18	.	.	PUNCT
bracis-28355	49	1	2	2	NUM
bracis-28355	49	2	methodology	methodology	NOUN
bracis-28355	49	3	in	in	ADP
bracis-28355	49	4	order	order	NOUN
bracis-28355	49	5	to	to	PART
bracis-28355	49	6	address	address	VERB
bracis-28355	49	7	the	the	DET
bracis-28355	49	8	task	task	NOUN
bracis-28355	49	9	of	of	ADP
bracis-28355	49	10	selecting	select	VERB
bracis-28355	49	11	a	a	DET
bracis-28355	49	12	fairer	fair	ADJ
bracis-28355	49	13	subset	subset	NOUN
bracis-28355	49	14	as	as	ADP
bracis-28355	49	15	a	a	DET
bracis-28355	49	16	combinatorial	combinatorial	ADJ
bracis-28355	49	17	optimization	optimization	NOUN
bracis-28355	49	18	problem	problem	NOUN
bracis-28355	49	19	,	,	PUNCT
bracis-28355	49	20	it	it	PRON
bracis-28355	49	21	is	be	AUX
bracis-28355	49	22	essential	essential	ADJ
bracis-28355	49	23	to	to	PART
bracis-28355	49	24	begin	begin	VERB
bracis-28355	49	25	by	by	ADP
bracis-28355	49	26	introducing	introduce	VERB
bracis-28355	49	27	a	a	DET
bracis-28355	49	28	few	few	ADJ
bracis-28355	49	29	definitions	definition	NOUN
bracis-28355	49	30	.	.	PUNCT
bracis-28355	50	1	let	let	VERB
bracis-28355	50	2	\(\mathcal	\(\mathcal	ADJ
bracis-28355	50	3	{	{	PUNCT
bracis-28355	50	4	u}\	u}\	NOUN
bracis-28355	50	5	)	)	PUNCT
bracis-28355	50	6	be	be	VERB
bracis-28355	50	7	the	the	DET
bracis-28355	50	8	universe	universe	ADJ
bracis-28355	50	9	set	set	NOUN
bracis-28355	50	10	of	of	ADP
bracis-28355	50	11	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	50	12	)	)	PUNCT
bracis-28355	50	13	elements	element	NOUN
bracis-28355	50	14	.	.	PUNCT
bracis-28355	51	1	let	let	VERB
bracis-28355	51	2	\(\mathcal	\(\mathcal	ADJ
bracis-28355	51	3	{	{	PUNCT
bracis-28355	51	4	s}\	s}\	NUM
bracis-28355	51	5	)	)	PUNCT
bracis-28355	51	6	be	be	VERB
bracis-28355	51	7	a	a	DET
bracis-28355	51	8	family	family	NOUN
bracis-28355	51	9	of	of	ADP
bracis-28355	51	10	subsets	subset	NOUN
bracis-28355	51	11	\(\mathcal	\(\mathcal	ADJ
bracis-28355	51	12	{	{	PUNCT
bracis-28355	51	13	u}\	u}\	PROPN
bracis-28355	51	14	)	)	PUNCT
bracis-28355	51	15	.	.	PUNCT
bracis-28355	52	1	lastly	lastly	ADV
bracis-28355	52	2	,	,	PUNCT
bracis-28355	52	3	let	let	VERB
bracis-28355	52	4	\(\mathcal	\(\mathcal	ADJ
bracis-28355	52	5	{	{	PUNCT
bracis-28355	52	6	c}\	c}\	NOUN
bracis-28355	52	7	)	)	PUNCT
bracis-28355	52	8	represent	represent	VERB
bracis-28355	52	9	a	a	DET
bracis-28355	52	10	set	set	NOUN
bracis-28355	52	11	of	of	ADP
bracis-28355	52	12	\(\chi	\(\chi	NOUN
bracis-28355	52	13	\	\	NOUN
bracis-28355	52	14	)	)	PUNCT
bracis-28355	52	15	colors	color	NOUN
bracis-28355	52	16	and	and	CCONJ
bracis-28355	52	17	let	let	VERB
bracis-28355	52	18	\(c	\(c	NOUN
bracis-28355	52	19	:	:	PUNCT
bracis-28355	52	20	\mathcal	\mathcal	PROPN
bracis-28355	52	21	{	{	PUNCT
bracis-28355	52	22	u}\rightarrow	u}\rightarrow	PROPN
bracis-28355	52	23	\mathcal	\mathcal	PROPN
bracis-28355	52	24	{	{	PUNCT
bracis-28355	52	25	c}\	c}\	NOUN
bracis-28355	52	26	)	)	PUNCT
bracis-28355	52	27	be	be	VERB
bracis-28355	52	28	a	a	DET
bracis-28355	52	29	function	function	NOUN
bracis-28355	52	30	that	that	PRON
bracis-28355	52	31	assigns	assign	VERB
bracis-28355	52	32	one	one	NUM
bracis-28355	52	33	color	color	NOUN
bracis-28355	52	34	to	to	ADP
bracis-28355	52	35	each	each	DET
bracis-28355	52	36	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	52	37	)	)	PUNCT
bracis-28355	52	38	.	.	PUNCT
bracis-28355	53	1	we	we	PRON
bracis-28355	53	2	call	call	VERB
bracis-28355	53	3	a	a	DET
bracis-28355	53	4	k	k	NOUN
bracis-28355	53	5	-	-	NOUN
bracis-28355	53	6	cover	cover	NOUN
bracis-28355	53	7	,	,	PUNCT
bracis-28355	53	8	a	a	DET
bracis-28355	53	9	selection	selection	NOUN
bracis-28355	53	10	of	of	ADP
bracis-28355	53	11	k	k	PROPN
bracis-28355	53	12	subsets	subset	NOUN
bracis-28355	53	13	from	from	ADP
bracis-28355	53	14	\(\mathcal	\(\mathcal	ADJ
bracis-28355	53	15	{	{	PUNCT
bracis-28355	53	16	s}\	s}\	NUM
bracis-28355	53	17	)	)	PUNCT
bracis-28355	53	18	,	,	PUNCT
bracis-28355	53	19	and	and	CCONJ
bracis-28355	53	20	we	we	PRON
bracis-28355	53	21	say	say	VERB
bracis-28355	53	22	that	that	SCONJ
bracis-28355	53	23	an	an	DET
bracis-28355	53	24	element	element	NOUN
bracis-28355	53	25	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	53	26	)	)	PUNCT
bracis-28355	53	27	is	be	AUX
bracis-28355	53	28	covered	cover	VERB
bracis-28355	53	29	if	if	SCONJ
bracis-28355	53	30	there	there	PRON
bracis-28355	53	31	is	be	VERB
bracis-28355	53	32	a	a	DET
bracis-28355	53	33	subset	subset	NOUN
bracis-28355	53	34	\(\mathcal	\(\mathcal	ADJ
bracis-28355	53	35	{	{	PUNCT
bracis-28355	53	36	s}_{\ell	s}_{\ell	ADJ
bracis-28355	53	37	}	}	PUNCT
bracis-28355	53	38	\	\	NOUN
bracis-28355	53	39	)	)	PUNCT
bracis-28355	53	40	from	from	ADP
bracis-28355	53	41	a	a	DET
bracis-28355	53	42	k	k	NOUN
bracis-28355	53	43	-	-	NOUN
bracis-28355	53	44	cover	cover	NOUN
bracis-28355	53	45	that	that	PRON
bracis-28355	53	46	contains	contain	VERB
bracis-28355	53	47	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	53	48	)	)	PUNCT
bracis-28355	53	49	.	.	PUNCT
bracis-28355	54	1	a	a	DET
bracis-28355	54	2	k	k	X
bracis-28355	54	3	-	-	ADJ
bracis-28355	54	4	cover	cover	NOUN
bracis-28355	54	5	is	be	AUX
bracis-28355	54	6	considered	consider	VERB
bracis-28355	54	7	fair	fair	ADJ
bracis-28355	54	8	if	if	SCONJ
bracis-28355	54	9	the	the	DET
bracis-28355	54	10	number	number	NOUN
bracis-28355	54	11	of	of	ADP
bracis-28355	54	12	covered	covered	ADJ
bracis-28355	54	13	elements	element	NOUN
bracis-28355	54	14	is	be	AUX
bracis-28355	54	15	the	the	DET
bracis-28355	54	16	same	same	ADJ
bracis-28355	54	17	for	for	ADP
bracis-28355	54	18	every	every	DET
bracis-28355	54	19	color	color	NOUN
bracis-28355	54	20	.	.	PUNCT
bracis-28355	55	1	we	we	PRON
bracis-28355	55	2	refer	refer	VERB
bracis-28355	55	3	to	to	ADP
bracis-28355	55	4	as	as	SCONJ
bracis-28355	55	5	tabular	tabular	VERB
bracis-28355	55	6	a	a	DET
bracis-28355	55	7	dataset	dataset	NOUN
bracis-28355	55	8	that	that	PRON
bracis-28355	55	9	is	be	AUX
bracis-28355	55	10	represented	represent	VERB
bracis-28355	55	11	as	as	ADP
bracis-28355	55	12	a	a	DET
bracis-28355	55	13	matrix	matrix	NOUN
bracis-28355	55	14	of	of	ADP
bracis-28355	55	15	where	where	SCONJ
bracis-28355	55	16	the	the	DET
bracis-28355	55	17	rows	row	NOUN
bracis-28355	55	18	are	be	AUX
bracis-28355	55	19	the	the	DET
bracis-28355	55	20	samples	sample	NOUN
bracis-28355	55	21	and	and	CCONJ
bracis-28355	55	22	the	the	DET
bracis-28355	55	23	columns	column	NOUN
bracis-28355	55	24	are	be	AUX
bracis-28355	55	25	the	the	DET
bracis-28355	55	26	attributes	attribute	NOUN
bracis-28355	55	27	.	.	PUNCT
bracis-28355	56	1	we	we	PRON
bracis-28355	56	2	consider	consider	VERB
bracis-28355	56	3	that	that	SCONJ
bracis-28355	56	4	the	the	DET
bracis-28355	56	5	cell	cell	NOUN
bracis-28355	56	6	from	from	ADP
bracis-28355	56	7	the	the	DET
bracis-28355	56	8	i	i	PROPN
bracis-28355	56	9	-	-	PUNCT
bracis-28355	56	10	th	th	X
bracis-28355	56	11	row	row	NOUN
bracis-28355	56	12	and	and	CCONJ
bracis-28355	56	13	the	the	DET
bracis-28355	56	14	j	j	PROPN
bracis-28355	56	15	-	-	PUNCT
bracis-28355	56	16	th	th	VERB
bracis-28355	56	17	column	column	NOUN
bracis-28355	56	18	of	of	ADP
bracis-28355	56	19	the	the	DET
bracis-28355	56	20	dataset	dataset	NOUN
bracis-28355	56	21	contains	contain	VERB
bracis-28355	56	22	exactly	exactly	ADV
bracis-28355	56	23	one	one	NUM
bracis-28355	56	24	of	of	ADP
bracis-28355	56	25	the	the	DET
bracis-28355	56	26	possible	possible	ADJ
bracis-28355	56	27	values	value	NOUN
bracis-28355	56	28	for	for	ADP
bracis-28355	56	29	the	the	DET
bracis-28355	56	30	attribute	attribute	NOUN
bracis-28355	56	31	described	describe	VERB
bracis-28355	56	32	by	by	ADP
bracis-28355	56	33	the	the	DET
bracis-28355	56	34	column	column	NOUN
bracis-28355	56	35	j.	j.	PROPN
bracis-28355	56	36	that	that	PRON
bracis-28355	56	37	is	be	AUX
bracis-28355	56	38	,	,	PUNCT
bracis-28355	56	39	if	if	SCONJ
bracis-28355	56	40	the	the	DET
bracis-28355	56	41	column	column	NOUN
bracis-28355	56	42	j	j	PROPN
bracis-28355	56	43	represents	represent	VERB
bracis-28355	56	44	eye	eye	NOUN
bracis-28355	56	45	color	color	NOUN
bracis-28355	56	46	and	and	CCONJ
bracis-28355	56	47	the	the	DET
bracis-28355	56	48	possible	possible	ADJ
bracis-28355	56	49	values	value	NOUN
bracis-28355	56	50	for	for	ADP
bracis-28355	56	51	eye	eye	NOUN
bracis-28355	56	52	color	color	NOUN
bracis-28355	56	53	are	be	AUX
bracis-28355	56	54	either	either	CCONJ
bracis-28355	56	55	blue	blue	ADJ
bracis-28355	56	56	or	or	CCONJ
bracis-28355	56	57	brown	brown	ADJ
bracis-28355	56	58	,	,	PUNCT
bracis-28355	56	59	the	the	DET
bracis-28355	56	60	cell	cell	NOUN
bracis-28355	56	61	from	from	ADP
bracis-28355	56	62	the	the	DET
bracis-28355	56	63	i	i	PROPN
bracis-28355	56	64	-	-	PUNCT
bracis-28355	56	65	th	th	X
bracis-28355	56	66	row	row	NOUN
bracis-28355	56	67	and	and	CCONJ
bracis-28355	56	68	the	the	DET
bracis-28355	56	69	j	j	PROPN
bracis-28355	56	70	-	-	PUNCT
bracis-28355	56	71	th	th	VERB
bracis-28355	56	72	column	column	NOUN
bracis-28355	56	73	has	have	VERB
bracis-28355	56	74	exactly	exactly	ADV
bracis-28355	56	75	one	one	NUM
bracis-28355	56	76	of	of	ADP
bracis-28355	56	77	these	these	DET
bracis-28355	56	78	two	two	NUM
bracis-28355	56	79	values	value	NOUN
bracis-28355	56	80	.	.	PUNCT
bracis-28355	57	1	we	we	PRON
bracis-28355	57	2	can	can	AUX
bracis-28355	57	3	use	use	VERB
bracis-28355	57	4	this	this	DET
bracis-28355	57	5	type	type	NOUN
bracis-28355	57	6	of	of	ADP
bracis-28355	57	7	dataset	dataset	NOUN
bracis-28355	57	8	to	to	PART
bracis-28355	57	9	create	create	VERB
bracis-28355	57	10	a	a	DET
bracis-28355	57	11	combinatorial	combinatorial	ADJ
bracis-28355	57	12	optimization	optimization	NOUN
bracis-28355	57	13	problem	problem	NOUN
bracis-28355	57	14	by	by	ADP
bracis-28355	57	15	translating	translate	VERB
bracis-28355	57	16	it	it	PRON
bracis-28355	57	17	into	into	ADP
bracis-28355	57	18	a	a	DET
bracis-28355	57	19	family	family	NOUN
bracis-28355	57	20	of	of	ADP
bracis-28355	57	21	subsets	subset	NOUN
bracis-28355	57	22	and	and	CCONJ
bracis-28355	57	23	treating	treat	VERB
bracis-28355	57	24	the	the	DET
bracis-28355	57	25	task	task	NOUN
bracis-28355	57	26	of	of	ADP
bracis-28355	57	27	selecting	select	VERB
bracis-28355	57	28	a	a	DET
bracis-28355	57	29	fair	fair	ADJ
bracis-28355	57	30	subset	subset	NOUN
bracis-28355	57	31	of	of	ADP
bracis-28355	57	32	size	size	NOUN
bracis-28355	57	33	k	k	PROPN
bracis-28355	57	34	for	for	ADP
bracis-28355	57	35	training	training	NOUN
bracis-28355	57	36	as	as	ADP
bracis-28355	57	37	the	the	DET
bracis-28355	57	38	task	task	NOUN
bracis-28355	57	39	of	of	ADP
bracis-28355	57	40	finding	find	VERB
bracis-28355	57	41	a	a	DET
bracis-28355	57	42	fair	fair	ADJ
bracis-28355	57	43	k	k	NOUN
bracis-28355	57	44	-	-	NOUN
bracis-28355	57	45	cover	cover	NOUN
bracis-28355	57	46	.	.	PUNCT
bracis-28355	58	1	to	to	PART
bracis-28355	58	2	translate	translate	VERB
bracis-28355	58	3	a	a	DET
bracis-28355	58	4	tabular	tabular	NOUN
bracis-28355	58	5	dataset	dataset	VERB
bracis-28355	58	6	into	into	ADP
bracis-28355	58	7	a	a	DET
bracis-28355	58	8	family	family	NOUN
bracis-28355	58	9	of	of	ADP
bracis-28355	58	10	subsets	subset	NOUN
bracis-28355	58	11	,	,	PUNCT
bracis-28355	58	12	we	we	PRON
bracis-28355	58	13	start	start	VERB
bracis-28355	58	14	by	by	ADP
bracis-28355	58	15	representing	represent	VERB
bracis-28355	58	16	each	each	DET
bracis-28355	58	17	cell	cell	NOUN
bracis-28355	58	18	of	of	ADP
bracis-28355	58	19	the	the	DET
bracis-28355	58	20	dataset	dataset	NOUN
bracis-28355	58	21	by	by	ADP
bracis-28355	58	22	a	a	DET
bracis-28355	58	23	distinct	distinct	ADJ
bracis-28355	58	24	element	element	NOUN
bracis-28355	58	25	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	58	26	)	)	PUNCT
bracis-28355	58	27	and	and	CCONJ
bracis-28355	58	28	the	the	DET
bracis-28355	58	29	universe	universe	NOUN
bracis-28355	58	30	set	set	VERB
bracis-28355	58	31	\(\mathcal	\(\mathcal	ADJ
bracis-28355	58	32	{	{	PUNCT
bracis-28355	58	33	u}\	u}\	PROPN
bracis-28355	58	34	)	)	PUNCT
bracis-28355	58	35	is	be	AUX
bracis-28355	58	36	the	the	DET
bracis-28355	58	37	set	set	NOUN
bracis-28355	58	38	containing	contain	VERB
bracis-28355	58	39	every	every	DET
bracis-28355	58	40	cell	cell	NOUN
bracis-28355	58	41	.	.	PUNCT
bracis-28355	59	1	we	we	PRON
bracis-28355	59	2	create	create	VERB
bracis-28355	59	3	subsets	subset	NOUN
bracis-28355	59	4	\(\mathcal	\(\mathcal	ADJ
bracis-28355	59	5	{	{	PUNCT
bracis-28355	59	6	s}_{\ell	s}_{\ell	ADJ
bracis-28355	59	7	}	}	PUNCT
bracis-28355	59	8	\	\	NOUN
bracis-28355	59	9	)	)	PUNCT
bracis-28355	59	10	of	of	ADP
bracis-28355	59	11	universe	universe	ADJ
bracis-28355	59	12	\(\mathcal	\(\mathcal	ADJ
bracis-28355	59	13	{	{	PUNCT
bracis-28355	59	14	u}\	u}\	PROPN
bracis-28355	59	15	)	)	PUNCT
bracis-28355	59	16	based	base	VERB
bracis-28355	59	17	on	on	ADP
bracis-28355	59	18	the	the	DET
bracis-28355	59	19	rows	row	NOUN
bracis-28355	59	20	of	of	ADP
bracis-28355	59	21	the	the	DET
bracis-28355	59	22	dataset	dataset	NOUN
bracis-28355	59	23	,	,	PUNCT
bracis-28355	59	24	such	such	ADJ
bracis-28355	59	25	that	that	SCONJ
bracis-28355	59	26	each	each	DET
bracis-28355	59	27	row	row	NOUN
bracis-28355	59	28	is	be	AUX
bracis-28355	59	29	represented	represent	VERB
bracis-28355	59	30	by	by	ADP
bracis-28355	59	31	one	one	NUM
bracis-28355	59	32	subset	subset	VERB
bracis-28355	59	33	\(\mathcal	\(\mathcal	ADJ
bracis-28355	59	34	{	{	PUNCT
bracis-28355	59	35	s}_{\ell	s}_{\ell	ADJ
bracis-28355	59	36	}	}	PUNCT
bracis-28355	59	37	\	\	NOUN
bracis-28355	59	38	)	)	PUNCT
bracis-28355	59	39	.	.	PUNCT
bracis-28355	60	1	for	for	ADP
bracis-28355	60	2	this	this	DET
bracis-28355	60	3	paper	paper	NOUN
bracis-28355	60	4	,	,	PUNCT
bracis-28355	60	5	let	let	VERB
bracis-28355	60	6	us	we	PRON
bracis-28355	60	7	consider	consider	VERB
bracis-28355	60	8	that	that	SCONJ
bracis-28355	60	9	every	every	DET
bracis-28355	60	10	attribute	attribute	NOUN
bracis-28355	60	11	is	be	AUX
bracis-28355	60	12	discrete	discrete	ADJ
bracis-28355	60	13	.	.	PUNCT
bracis-28355	61	1	this	this	DET
bracis-28355	61	2	way	way	NOUN
bracis-28355	61	3	,	,	PUNCT
bracis-28355	61	4	each	each	DET
bracis-28355	61	5	possible	possible	ADJ
bracis-28355	61	6	value	value	NOUN
bracis-28355	61	7	for	for	ADP
bracis-28355	61	8	an	an	DET
bracis-28355	61	9	attribute	attribute	NOUN
bracis-28355	61	10	of	of	ADP
bracis-28355	61	11	the	the	DET
bracis-28355	61	12	dataset	dataset	NOUN
bracis-28355	61	13	can	can	AUX
bracis-28355	61	14	be	be	AUX
bracis-28355	61	15	mapped	map	VERB
bracis-28355	61	16	to	to	ADP
bracis-28355	61	17	a	a	DET
bracis-28355	61	18	finite	finite	ADJ
bracis-28355	61	19	set	set	NOUN
bracis-28355	61	20	of	of	ADP
bracis-28355	61	21	colors	color	NOUN
bracis-28355	61	22	.	.	PUNCT
bracis-28355	62	1	we	we	PRON
bracis-28355	62	2	color	color	VERB
bracis-28355	62	3	the	the	DET
bracis-28355	62	4	elements	element	NOUN
bracis-28355	62	5	of	of	ADP
bracis-28355	62	6	\(\mathcal	\(\mathcal	ADJ
bracis-28355	62	7	{	{	PUNCT
bracis-28355	62	8	u}\	u}\	PROPN
bracis-28355	62	9	)	)	PUNCT
bracis-28355	62	10	based	base	VERB
bracis-28355	62	11	on	on	ADP
bracis-28355	62	12	the	the	DET
bracis-28355	62	13	class	class	NOUN
bracis-28355	62	14	of	of	ADP
bracis-28355	62	15	the	the	DET
bracis-28355	62	16	attribute	attribute	NOUN
bracis-28355	62	17	contained	contain	VERB
bracis-28355	62	18	in	in	ADP
bracis-28355	62	19	the	the	DET
bracis-28355	62	20	cell	cell	NOUN
bracis-28355	62	21	that	that	PRON
bracis-28355	62	22	it	it	PRON
bracis-28355	62	23	represents	represent	VERB
bracis-28355	62	24	.	.	PUNCT
bracis-28355	63	1	note	note	VERB
bracis-28355	63	2	that	that	SCONJ
bracis-28355	63	3	,	,	PUNCT
bracis-28355	63	4	since	since	SCONJ
bracis-28355	63	5	a	a	DET
bracis-28355	63	6	subset	subset	NOUN
bracis-28355	63	7	\(\mathcal	\(\mathcal	ADJ
bracis-28355	63	8	{	{	PUNCT
bracis-28355	63	9	s}_{\ell	s}_{\ell	ADJ
bracis-28355	63	10	}	}	PUNCT
bracis-28355	63	11	\	\	NOUN
bracis-28355	63	12	)	)	PUNCT
bracis-28355	63	13	corresponds	correspond	VERB
bracis-28355	63	14	to	to	ADP
bracis-28355	63	15	a	a	DET
bracis-28355	63	16	row	row	NOUN
bracis-28355	63	17	of	of	ADP
bracis-28355	63	18	the	the	DET
bracis-28355	63	19	dataset	dataset	NOUN
bracis-28355	63	20	,	,	PUNCT
bracis-28355	63	21	every	every	DET
bracis-28355	63	22	subset	subset	VERB
bracis-28355	63	23	\(\mathcal	\(\mathcal	ADJ
bracis-28355	63	24	{	{	PUNCT
bracis-28355	63	25	s}_{\ell	s}_{\ell	ADJ
bracis-28355	63	26	}	}	PUNCT
bracis-28355	63	27	\	\	NOUN
bracis-28355	63	28	)	)	PUNCT
bracis-28355	63	29	contains	contain	VERB
bracis-28355	63	30	one	one	NUM
bracis-28355	63	31	element	element	NOUN
bracis-28355	63	32	for	for	ADP
bracis-28355	63	33	each	each	DET
bracis-28355	63	34	attribute	attribute	NOUN
bracis-28355	63	35	(	(	PUNCT
bracis-28355	63	36	column	column	NOUN
bracis-28355	63	37	)	)	PUNCT
bracis-28355	63	38	and	and	CCONJ
bracis-28355	63	39	they	they	PRON
bracis-28355	63	40	are	be	AUX
bracis-28355	63	41	all	all	PRON
bracis-28355	63	42	of	of	ADP
bracis-28355	63	43	different	different	ADJ
bracis-28355	63	44	colors	color	NOUN
bracis-28355	63	45	.	.	PUNCT
bracis-28355	64	1	we	we	PRON
bracis-28355	64	2	assume	assume	VERB
bracis-28355	64	3	that	that	SCONJ
bracis-28355	64	4	each	each	DET
bracis-28355	64	5	row	row	NOUN
bracis-28355	64	6	of	of	ADP
bracis-28355	64	7	a	a	DET
bracis-28355	64	8	tabular	tabular	NOUN
bracis-28355	64	9	dataset	dataset	NOUN
bracis-28355	64	10	is	be	AUX
bracis-28355	64	11	complete	complete	ADJ
bracis-28355	64	12	and	and	CCONJ
bracis-28355	64	13	there	there	PRON
bracis-28355	64	14	is	be	VERB
bracis-28355	64	15	no	no	DET
bracis-28355	64	16	missing	missing	ADJ
bracis-28355	64	17	data	datum	NOUN
bracis-28355	64	18	.	.	PUNCT
bracis-28355	65	1	under	under	ADP
bracis-28355	65	2	this	this	DET
bracis-28355	65	3	assumption	assumption	NOUN
bracis-28355	65	4	,	,	PUNCT
bracis-28355	65	5	we	we	PRON
bracis-28355	65	6	have	have	VERB
bracis-28355	65	7	that	that	SCONJ
bracis-28355	65	8	every	every	DET
bracis-28355	65	9	row	row	NOUN
bracis-28355	65	10	of	of	ADP
bracis-28355	65	11	the	the	DET
bracis-28355	65	12	dataset	dataset	NOUN
bracis-28355	65	13	has	have	VERB
bracis-28355	65	14	the	the	DET
bracis-28355	65	15	same	same	ADJ
bracis-28355	65	16	number	number	NOUN
bracis-28355	65	17	of	of	ADP
bracis-28355	65	18	valid	valid	ADJ
bracis-28355	65	19	attributes	attribute	NOUN
bracis-28355	65	20	,	,	PUNCT
bracis-28355	65	21	as	as	SCONJ
bracis-28355	65	22	do	do	VERB
bracis-28355	65	23	the	the	DET
bracis-28355	65	24	subsets	subset	NOUN
bracis-28355	65	25	representing	represent	VERB
bracis-28355	65	26	them	they	PRON
bracis-28355	65	27	.	.	PUNCT
bracis-28355	66	1	asudeh	asudeh	PROPN
bracis-28355	66	2	 	 	SPACE
bracis-28355	66	3	et	et	PROPN
bracis-28355	66	4	al	al	PROPN
bracis-28355	66	5	.	.	PUNCT
bracis-28355	66	6	 	 	SPACE
bracis-28355	67	1	[	[	X
bracis-28355	67	2	1	1	X
bracis-28355	67	3	]	]	PUNCT
bracis-28355	67	4	defined	define	VERB
bracis-28355	67	5	an	an	DET
bracis-28355	67	6	optimization	optimization	NOUN
bracis-28355	67	7	problem	problem	NOUN
bracis-28355	67	8	called	call	VERB
bracis-28355	67	9	fair	fair	ADJ
bracis-28355	67	10	maximum	maximum	ADJ
bracis-28355	67	11	coverage	coverage	NOUN
bracis-28355	67	12	–	–	PUNCT
bracis-28355	67	13	fmc	fmc	NOUN
bracis-28355	67	14	.	.	PROPN
bracis-28355	68	1	in	in	ADP
bracis-28355	68	2	this	this	DET
bracis-28355	68	3	problem	problem	NOUN
bracis-28355	68	4	,	,	PUNCT
bracis-28355	68	5	each	each	DET
bracis-28355	68	6	element	element	NOUN
bracis-28355	68	7	has	have	VERB
bracis-28355	68	8	a	a	DET
bracis-28355	68	9	weight	weight	NOUN
bracis-28355	68	10	and	and	CCONJ
bracis-28355	68	11	there	there	PRON
bracis-28355	68	12	is	be	VERB
bracis-28355	68	13	a	a	DET
bracis-28355	68	14	family	family	NOUN
bracis-28355	68	15	\(\mathcal	\(\mathcal	ADJ
bracis-28355	68	16	{	{	PUNCT
bracis-28355	68	17	s}\	s}\	NUM
bracis-28355	68	18	)	)	PUNCT
bracis-28355	68	19	of	of	ADP
bracis-28355	68	20	subsets	subset	NOUN
bracis-28355	68	21	\(\mathcal	\(\mathcal	ADJ
bracis-28355	68	22	{	{	PUNCT
bracis-28355	68	23	s}_{\ell	s}_{\ell	ADJ
bracis-28355	68	24	}	}	PUNCT
bracis-28355	68	25	\	\	NOUN
bracis-28355	68	26	)	)	PUNCT
bracis-28355	68	27	of	of	ADP
bracis-28355	68	28	\(\mathcal	\(\mathcal	ADJ
bracis-28355	68	29	{	{	PUNCT
bracis-28355	68	30	u}\	u}\	PROPN
bracis-28355	68	31	)	)	PUNCT
bracis-28355	68	32	.	.	PUNCT
bracis-28355	69	1	the	the	DET
bracis-28355	69	2	goal	goal	NOUN
bracis-28355	69	3	of	of	ADP
bracis-28355	69	4	the	the	DET
bracis-28355	69	5	fmc	fmc	NOUN
bracis-28355	69	6	is	be	AUX
bracis-28355	69	7	to	to	PART
bracis-28355	69	8	select	select	VERB
bracis-28355	69	9	k	k	PROPN
bracis-28355	69	10	subsets	subset	NOUN
bracis-28355	69	11	\(\mathcal	\(\mathcal	ADJ
bracis-28355	69	12	{	{	PUNCT
bracis-28355	69	13	s}_{\ell	s}_{\ell	ADJ
bracis-28355	69	14	}	}	PUNCT
bracis-28355	69	15	\	\	NOUN
bracis-28355	69	16	)	)	PUNCT
bracis-28355	69	17	such	such	ADJ
bracis-28355	69	18	that	that	SCONJ
bracis-28355	69	19	the	the	DET
bracis-28355	69	20	k	k	NOUN
bracis-28355	69	21	-	-	NOUN
bracis-28355	69	22	cover	cover	NOUN
bracis-28355	69	23	formed	form	VERB
bracis-28355	69	24	by	by	ADP
bracis-28355	69	25	these	these	DET
bracis-28355	69	26	subsets	subset	NOUN
bracis-28355	69	27	is	be	AUX
bracis-28355	69	28	fair	fair	ADJ
bracis-28355	69	29	and	and	CCONJ
bracis-28355	69	30	has	have	VERB
bracis-28355	69	31	a	a	DET
bracis-28355	69	32	maximum	maximum	ADJ
bracis-28355	69	33	sum	sum	NOUN
bracis-28355	69	34	of	of	ADP
bracis-28355	69	35	the	the	DET
bracis-28355	69	36	weights	weight	NOUN
bracis-28355	69	37	.	.	PUNCT
bracis-28355	70	1	as	as	SCONJ
bracis-28355	70	2	pointed	point	VERB
bracis-28355	70	3	out	out	ADP
bracis-28355	70	4	by	by	ADP
bracis-28355	70	5	dantas	danta	NOUN
bracis-28355	70	6	 	 	SPACE
bracis-28355	70	7	et	et	PROPN
bracis-28355	70	8	al	al	PROPN
bracis-28355	70	9	.	.	PUNCT
bracis-28355	70	10	 	 	SPACE
bracis-28355	71	1	[	[	X
bracis-28355	71	2	3	3	NUM
bracis-28355	71	3	]	]	PUNCT
bracis-28355	71	4	,	,	PUNCT
bracis-28355	71	5	the	the	DET
bracis-28355	71	6	interpretation	interpretation	NOUN
bracis-28355	71	7	of	of	ADP
bracis-28355	71	8	asudeh	asudeh	PROPN
bracis-28355	71	9	 	 	SPACE
bracis-28355	71	10	et	et	PROPN
bracis-28355	71	11	al	al	PROPN
bracis-28355	71	12	.	.	PROPN
bracis-28355	71	13	may	may	AUX
bracis-28355	71	14	result	result	VERB
bracis-28355	71	15	in	in	ADP
bracis-28355	71	16	a	a	DET
bracis-28355	71	17	limited	limited	ADJ
bracis-28355	71	18	solution	solution	NOUN
bracis-28355	71	19	pool	pool	NOUN
bracis-28355	71	20	,	,	PUNCT
bracis-28355	71	21	often	often	ADV
bracis-28355	71	22	leading	lead	VERB
bracis-28355	71	23	to	to	ADP
bracis-28355	71	24	infeasible	infeasible	ADJ
bracis-28355	71	25	instances	instance	NOUN
bracis-28355	71	26	.	.	PUNCT
bracis-28355	72	1	dantas	dantas	PROPN
bracis-28355	72	2	 	 	SPACE
bracis-28355	72	3	et	et	PROPN
bracis-28355	72	4	al	al	PROPN
bracis-28355	72	5	.	.	PUNCT
bracis-28355	72	6	 	 	SPACE
bracis-28355	73	1	[	[	X
bracis-28355	73	2	3	3	X
bracis-28355	73	3	]	]	PUNCT
bracis-28355	73	4	defined	define	VERB
bracis-28355	73	5	a	a	DET
bracis-28355	73	6	new	new	ADJ
bracis-28355	73	7	problem	problem	NOUN
bracis-28355	73	8	called	call	VERB
bracis-28355	73	9	fairer	fair	ADJ
bracis-28355	73	10	cover	cover	NOUN
bracis-28355	73	11	–	–	PUNCT
bracis-28355	73	12	fc	fc	PROPN
bracis-28355	73	13	,	,	PUNCT
bracis-28355	73	14	based	base	VERB
bracis-28355	73	15	on	on	ADP
bracis-28355	73	16	the	the	DET
bracis-28355	73	17	fmc	fmc	PROPN
bracis-28355	73	18	.	.	PUNCT
bracis-28355	74	1	this	this	DET
bracis-28355	74	2	problem	problem	NOUN
bracis-28355	74	3	relaxes	relax	VERB
bracis-28355	74	4	the	the	DET
bracis-28355	74	5	fairness	fairness	NOUN
bracis-28355	74	6	aspect	aspect	NOUN
bracis-28355	74	7	,	,	PUNCT
bracis-28355	74	8	allowing	allow	VERB
bracis-28355	74	9	for	for	SCONJ
bracis-28355	74	10	solutions	solution	NOUN
bracis-28355	74	11	to	to	PART
bracis-28355	74	12	have	have	VERB
bracis-28355	74	13	a	a	DET
bracis-28355	74	14	different	different	ADJ
bracis-28355	74	15	number	number	NOUN
bracis-28355	74	16	of	of	ADP
bracis-28355	74	17	covered	cover	VERB
bracis-28355	74	18	elements	element	NOUN
bracis-28355	74	19	for	for	ADP
bracis-28355	74	20	each	each	DET
bracis-28355	74	21	color	color	NOUN
bracis-28355	74	22	.	.	PUNCT
bracis-28355	75	1	this	this	PRON
bracis-28355	75	2	was	be	AUX
bracis-28355	75	3	achieved	achieve	VERB
bracis-28355	75	4	by	by	ADP
bracis-28355	75	5	removing	remove	VERB
bracis-28355	75	6	the	the	DET
bracis-28355	75	7	need	need	NOUN
bracis-28355	75	8	to	to	PART
bracis-28355	75	9	have	have	AUX
bracis-28355	75	10	a	a	DET
bracis-28355	75	11	fair	fair	ADJ
bracis-28355	75	12	coverage	coverage	NOUN
bracis-28355	75	13	as	as	ADP
bracis-28355	75	14	prerequisite	prerequisite	NOUN
bracis-28355	75	15	and	and	CCONJ
bracis-28355	75	16	tackling	tackle	VERB
bracis-28355	75	17	this	this	DET
bracis-28355	75	18	aspect	aspect	NOUN
bracis-28355	75	19	in	in	ADP
bracis-28355	75	20	the	the	DET
bracis-28355	75	21	objective	objective	ADJ
bracis-28355	75	22	function	function	NOUN
bracis-28355	75	23	.	.	PUNCT
bracis-28355	76	1	the	the	DET
bracis-28355	76	2	fc	fc	PROPN
bracis-28355	76	3	problem	problem	NOUN
bracis-28355	76	4	is	be	AUX
bracis-28355	76	5	given	give	VERB
bracis-28355	76	6	in	in	ADP
bracis-28355	76	7	definition	definition	NOUN
bracis-28355	76	8	 	 	SPACE
bracis-28355	76	9	2.1	2.1	NUM
bracis-28355	76	10	,	,	PUNCT
bracis-28355	76	11	and	and	CCONJ
bracis-28355	76	12	its	its	PRON
bracis-28355	76	13	goal	goal	NOUN
bracis-28355	76	14	is	be	AUX
bracis-28355	76	15	to	to	PART
bracis-28355	76	16	find	find	VERB
bracis-28355	76	17	a	a	DET
bracis-28355	76	18	k	k	NOUN
bracis-28355	76	19	-	-	NOUN
bracis-28355	76	20	cover	cover	NOUN
bracis-28355	76	21	that	that	PRON
bracis-28355	76	22	is	be	AUX
bracis-28355	76	23	as	as	ADV
bracis-28355	76	24	fair	fair	ADJ
bracis-28355	76	25	as	as	ADP
bracis-28355	76	26	possible	possible	ADJ
bracis-28355	76	27	and	and	CCONJ
bracis-28355	76	28	covers	cover	VERB
bracis-28355	76	29	at	at	ADP
bracis-28355	76	30	least	least	ADJ
bracis-28355	76	31	s	s	VERB
bracis-28355	76	32	elements	element	NOUN
bracis-28355	76	33	,	,	PUNCT
bracis-28355	76	34	with	with	ADP
bracis-28355	76	35	k	k	PROPN
bracis-28355	76	36	and	and	CCONJ
bracis-28355	76	37	s	s	AUX
bracis-28355	76	38	being	be	AUX
bracis-28355	76	39	given	give	VERB
bracis-28355	76	40	in	in	ADP
bracis-28355	76	41	the	the	DET
bracis-28355	76	42	instance	instance	NOUN
bracis-28355	76	43	.	.	PUNCT
bracis-28355	77	1	the	the	DET
bracis-28355	77	2	fc	fc	PROPN
bracis-28355	77	3	was	be	AUX
bracis-28355	77	4	applied	apply	VERB
bracis-28355	77	5	to	to	ADP
bracis-28355	77	6	the	the	DET
bracis-28355	77	7	human	human	ADJ
bracis-28355	77	8	protein	protein	NOUN
bracis-28355	77	9	atlas	atlas	PROPN
bracis-28355	77	10	dataset	dataset	PROPN
bracis-28355	77	11	obtained	obtain	VERB
bracis-28355	77	12	from	from	ADP
bracis-28355	77	13	the	the	DET
bracis-28355	77	14	“	"	PUNCT
bracis-28355	77	15	human	human	ADJ
bracis-28355	77	16	protein	protein	NOUN
bracis-28355	77	17	atlas	atlas	PROPN
bracis-28355	77	18	single	single	ADJ
bracis-28355	77	19	cell	cell	NOUN
bracis-28355	77	20	classification	classification	NOUN
bracis-28355	77	21	”	"	PUNCT
bracis-28355	77	22	.	.	PUNCT
bracis-28355	78	1	this	this	DET
bracis-28355	78	2	dataset	dataset	NOUN
bracis-28355	78	3	has	have	VERB
bracis-28355	78	4	a	a	DET
bracis-28355	78	5	very	very	ADV
bracis-28355	78	6	distinct	distinct	ADJ
bracis-28355	78	7	characteristic	characteristic	NOUN
bracis-28355	78	8	:	:	PUNCT
bracis-28355	78	9	there	there	PRON
bracis-28355	78	10	is	be	VERB
bracis-28355	78	11	a	a	DET
bracis-28355	78	12	single	single	ADJ
bracis-28355	78	13	set	set	NOUN
bracis-28355	78	14	of	of	ADP
bracis-28355	78	15	attributes	attribute	NOUN
bracis-28355	78	16	,	,	PUNCT
bracis-28355	78	17	which	which	PRON
bracis-28355	78	18	are	be	AUX
bracis-28355	78	19	the	the	DET
bracis-28355	78	20	labels	label	NOUN
bracis-28355	78	21	of	of	ADP
bracis-28355	78	22	the	the	DET
bracis-28355	78	23	identified	identify	VERB
bracis-28355	78	24	proteins	protein	NOUN
bracis-28355	78	25	.	.	PUNCT
bracis-28355	79	1	we	we	PRON
bracis-28355	79	2	expand	expand	VERB
bracis-28355	79	3	the	the	DET
bracis-28355	79	4	work	work	NOUN
bracis-28355	79	5	presented	present	VERB
bracis-28355	79	6	in	in	ADP
bracis-28355	79	7	dantas	danta	NOUN
bracis-28355	79	8	 	 	SPACE
bracis-28355	79	9	et	et	PROPN
bracis-28355	79	10	al	al	PROPN
bracis-28355	79	11	.	.	PUNCT
bracis-28355	79	12	 	 	SPACE
bracis-28355	80	1	[	[	X
bracis-28355	80	2	3	3	X
bracis-28355	80	3	]	]	PUNCT
bracis-28355	80	4	to	to	PART
bracis-28355	80	5	deal	deal	VERB
bracis-28355	80	6	with	with	ADP
bracis-28355	80	7	multiple	multiple	ADJ
bracis-28355	80	8	attributes	attribute	NOUN
bracis-28355	80	9	using	use	VERB
bracis-28355	80	10	as	as	ADP
bracis-28355	80	11	an	an	DET
bracis-28355	80	12	example	example	NOUN
bracis-28355	80	13	the	the	DET
bracis-28355	80	14	utkface	utkface	NOUN
bracis-28355	80	15	dataset	dataset	NOUN
bracis-28355	80	16	,	,	PUNCT
bracis-28355	80	17	which	which	PRON
bracis-28355	80	18	will	will	AUX
bracis-28355	80	19	be	be	AUX
bracis-28355	80	20	presented	present	VERB
bracis-28355	80	21	in	in	ADP
bracis-28355	80	22	the	the	DET
bracis-28355	80	23	following	follow	VERB
bracis-28355	80	24	subsection	subsection	NOUN
bracis-28355	80	25	.	.	PUNCT
bracis-28355	81	1	by	by	ADP
bracis-28355	81	2	dealing	deal	VERB
bracis-28355	81	3	with	with	ADP
bracis-28355	81	4	multiple	multiple	ADJ
bracis-28355	81	5	classes	class	NOUN
bracis-28355	81	6	of	of	ADP
bracis-28355	81	7	attributes	attribute	NOUN
bracis-28355	81	8	,	,	PUNCT
bracis-28355	81	9	it	it	PRON
bracis-28355	81	10	becomes	become	VERB
bracis-28355	81	11	necessary	necessary	ADJ
bracis-28355	81	12	to	to	PART
bracis-28355	81	13	divide	divide	VERB
bracis-28355	81	14	the	the	DET
bracis-28355	81	15	colors	color	NOUN
bracis-28355	81	16	that	that	PRON
bracis-28355	81	17	represent	represent	VERB
bracis-28355	81	18	the	the	DET
bracis-28355	81	19	values	value	NOUN
bracis-28355	81	20	of	of	ADP
bracis-28355	81	21	the	the	DET
bracis-28355	81	22	attributes	attribute	NOUN
bracis-28355	81	23	into	into	ADP
bracis-28355	81	24	groups	group	NOUN
bracis-28355	81	25	.	.	PUNCT
bracis-28355	82	1	this	this	PRON
bracis-28355	82	2	happens	happen	VERB
bracis-28355	82	3	because	because	SCONJ
bracis-28355	82	4	each	each	DET
bracis-28355	82	5	class	class	NOUN
bracis-28355	82	6	of	of	ADP
bracis-28355	82	7	attribute	attribute	NOUN
bracis-28355	82	8	may	may	AUX
bracis-28355	82	9	have	have	VERB
bracis-28355	82	10	different	different	ADJ
bracis-28355	82	11	sizes	size	NOUN
bracis-28355	82	12	and	and	CCONJ
bracis-28355	82	13	meanings	meaning	NOUN
bracis-28355	82	14	.	.	PUNCT
bracis-28355	83	1	for	for	ADP
bracis-28355	83	2	example	example	NOUN
bracis-28355	83	3	,	,	PUNCT
bracis-28355	83	4	suppose	suppose	VERB
bracis-28355	83	5	we	we	PRON
bracis-28355	83	6	have	have	VERB
bracis-28355	83	7	a	a	DET
bracis-28355	83	8	tabular	tabular	NOUN
bracis-28355	83	9	dataset	dataset	NOUN
bracis-28355	83	10	containing	contain	VERB
bracis-28355	83	11	the	the	DET
bracis-28355	83	12	attributes	attribute	NOUN
bracis-28355	83	13	eye	eye	NOUN
bracis-28355	83	14	color	color	NOUN
bracis-28355	83	15	and	and	CCONJ
bracis-28355	83	16	age	age	NOUN
bracis-28355	83	17	group	group	NOUN
bracis-28355	83	18	,	,	PUNCT
bracis-28355	83	19	where	where	SCONJ
bracis-28355	83	20	the	the	DET
bracis-28355	83	21	eye	eye	NOUN
bracis-28355	83	22	color	color	NOUN
bracis-28355	83	23	can	can	AUX
bracis-28355	83	24	be	be	AUX
bracis-28355	83	25	either	either	CCONJ
bracis-28355	83	26	blue	blue	ADJ
bracis-28355	83	27	or	or	CCONJ
bracis-28355	83	28	brown	brown	ADJ
bracis-28355	83	29	and	and	CCONJ
bracis-28355	83	30	age	age	NOUN
bracis-28355	83	31	group	group	NOUN
bracis-28355	83	32	can	can	AUX
bracis-28355	83	33	be	be	AUX
bracis-28355	83	34	either	either	DET
bracis-28355	83	35	child	child	NOUN
bracis-28355	83	36	,	,	PUNCT
bracis-28355	83	37	teenager	teenager	NOUN
bracis-28355	83	38	or	or	CCONJ
bracis-28355	83	39	adult	adult	NOUN
bracis-28355	83	40	.	.	PUNCT
bracis-28355	84	1	in	in	ADP
bracis-28355	84	2	addition	addition	NOUN
bracis-28355	84	3	,	,	PUNCT
bracis-28355	84	4	suppose	suppose	VERB
bracis-28355	84	5	that	that	SCONJ
bracis-28355	84	6	each	each	DET
bracis-28355	84	7	row	row	NOUN
bracis-28355	84	8	is	be	AUX
bracis-28355	84	9	made	make	VERB
bracis-28355	84	10	up	up	ADP
bracis-28355	84	11	of	of	ADP
bracis-28355	84	12	a	a	DET
bracis-28355	84	13	pair	pair	NOUN
bracis-28355	84	14	of	of	ADP
bracis-28355	84	15	eye	eye	NOUN
bracis-28355	84	16	color	color	NOUN
bracis-28355	84	17	and	and	CCONJ
bracis-28355	84	18	age	age	NOUN
bracis-28355	84	19	group	group	NOUN
bracis-28355	84	20	.	.	PUNCT
bracis-28355	85	1	each	each	PRON
bracis-28355	85	2	of	of	ADP
bracis-28355	85	3	the	the	DET
bracis-28355	85	4	values	value	NOUN
bracis-28355	85	5	blue	blue	ADJ
bracis-28355	85	6	,	,	PUNCT
bracis-28355	85	7	brown	brown	ADJ
bracis-28355	85	8	,	,	PUNCT
bracis-28355	85	9	child	child	NOUN
bracis-28355	85	10	,	,	PUNCT
bracis-28355	85	11	teenager	teenager	NOUN
bracis-28355	85	12	and	and	CCONJ
bracis-28355	85	13	adult	adult	NOUN
bracis-28355	85	14	will	will	AUX
bracis-28355	85	15	be	be	AUX
bracis-28355	85	16	represented	represent	VERB
bracis-28355	85	17	by	by	ADP
bracis-28355	85	18	one	one	NUM
bracis-28355	85	19	of	of	ADP
bracis-28355	85	20	five	five	NUM
bracis-28355	85	21	distinct	distinct	ADJ
bracis-28355	85	22	colors	color	NOUN
bracis-28355	85	23	.	.	PUNCT
bracis-28355	86	1	to	to	PART
bracis-28355	86	2	obtain	obtain	VERB
bracis-28355	86	3	a	a	DET
bracis-28355	86	4	fair	fair	ADJ
bracis-28355	86	5	coverage	coverage	NOUN
bracis-28355	86	6	of	of	ADP
bracis-28355	86	7	this	this	DET
bracis-28355	86	8	dataset	dataset	NOUN
bracis-28355	86	9	we	we	PRON
bracis-28355	86	10	would	would	AUX
bracis-28355	86	11	need	need	VERB
bracis-28355	86	12	a	a	DET
bracis-28355	86	13	subset	subset	NOUN
bracis-28355	86	14	of	of	ADP
bracis-28355	86	15	rows	row	NOUN
bracis-28355	86	16	where	where	SCONJ
bracis-28355	86	17	each	each	PRON
bracis-28355	86	18	of	of	ADP
bracis-28355	86	19	the	the	DET
bracis-28355	86	20	five	five	NUM
bracis-28355	86	21	colors	color	NOUN
bracis-28355	86	22	has	have	VERB
bracis-28355	86	23	the	the	DET
bracis-28355	86	24	exact	exact	ADJ
bracis-28355	86	25	same	same	ADJ
bracis-28355	86	26	number	number	NOUN
bracis-28355	86	27	of	of	ADP
bracis-28355	86	28	elements	element	NOUN
bracis-28355	86	29	.	.	PUNCT
bracis-28355	87	1	we	we	PRON
bracis-28355	87	2	should	should	AUX
bracis-28355	87	3	not	not	PART
bracis-28355	87	4	aim	aim	VERB
bracis-28355	87	5	to	to	PART
bracis-28355	87	6	have	have	VERB
bracis-28355	87	7	the	the	DET
bracis-28355	87	8	same	same	ADJ
bracis-28355	87	9	number	number	NOUN
bracis-28355	87	10	of	of	ADP
bracis-28355	87	11	covered	covered	ADJ
bracis-28355	87	12	elements	element	NOUN
bracis-28355	87	13	representing	represent	VERB
bracis-28355	87	14	adult	adult	NOUN
bracis-28355	87	15	and	and	CCONJ
bracis-28355	87	16	blue	blue	NOUN
bracis-28355	87	17	because	because	SCONJ
bracis-28355	87	18	they	they	PRON
bracis-28355	87	19	are	be	AUX
bracis-28355	87	20	of	of	ADP
bracis-28355	87	21	different	different	ADJ
bracis-28355	87	22	types	type	NOUN
bracis-28355	87	23	,	,	PUNCT
bracis-28355	87	24	therefore	therefore	ADV
bracis-28355	87	25	fc	fc	PROPN
bracis-28355	87	26	and	and	CCONJ
bracis-28355	87	27	fmc	fmc	PROPN
bracis-28355	87	28	are	be	AUX
bracis-28355	87	29	not	not	PART
bracis-28355	87	30	suitable	suitable	ADJ
bracis-28355	87	31	for	for	ADP
bracis-28355	87	32	this	this	DET
bracis-28355	87	33	kinds	kind	NOUN
bracis-28355	87	34	of	of	ADP
bracis-28355	87	35	instances	instance	NOUN
bracis-28355	87	36	.	.	PUNCT
bracis-28355	88	1	also	also	ADV
bracis-28355	88	2	,	,	PUNCT
bracis-28355	88	3	it	it	PRON
bracis-28355	88	4	is	be	AUX
bracis-28355	88	5	worth	worth	ADJ
bracis-28355	88	6	noting	note	VERB
bracis-28355	88	7	that	that	SCONJ
bracis-28355	88	8	in	in	ADP
bracis-28355	88	9	the	the	DET
bracis-28355	88	10	case	case	NOUN
bracis-28355	88	11	of	of	ADP
bracis-28355	88	12	the	the	DET
bracis-28355	88	13	fmc	fmc	NOUN
bracis-28355	88	14	,	,	PUNCT
bracis-28355	88	15	where	where	SCONJ
bracis-28355	88	16	the	the	DET
bracis-28355	88	17	equality	equality	NOUN
bracis-28355	88	18	of	of	ADP
bracis-28355	88	19	the	the	DET
bracis-28355	88	20	covered	cover	VERB
bracis-28355	88	21	classes	class	NOUN
bracis-28355	88	22	is	be	AUX
bracis-28355	88	23	a	a	DET
bracis-28355	88	24	characteristic	characteristic	NOUN
bracis-28355	88	25	of	of	ADP
bracis-28355	88	26	the	the	DET
bracis-28355	88	27	solution	solution	NOUN
bracis-28355	88	28	,	,	PUNCT
bracis-28355	88	29	the	the	DET
bracis-28355	88	30	instance	instance	NOUN
bracis-28355	88	31	may	may	AUX
bracis-28355	88	32	become	become	VERB
bracis-28355	88	33	infeasible	infeasible	ADJ
bracis-28355	88	34	.	.	PUNCT
bracis-28355	89	1	given	give	VERB
bracis-28355	89	2	a	a	DET
bracis-28355	89	3	list	list	NOUN
bracis-28355	89	4	of	of	ADP
bracis-28355	89	5	color	color	NOUN
bracis-28355	89	6	groups	group	NOUN
bracis-28355	89	7	\(\mathcal	\(\mathcal	ADJ
bracis-28355	89	8	{	{	PUNCT
bracis-28355	89	9	g	g	NOUN
bracis-28355	89	10	}	}	PUNCT
bracis-28355	89	11	=	=	SYM
bracis-28355	89	12	\	\	ADJ
bracis-28355	89	13	{	{	PUNCT
bracis-28355	89	14	g_1	g_1	PROPN
bracis-28355	89	15	,	,	PUNCT
bracis-28355	89	16	g_2	g_2	PROPN
bracis-28355	89	17	,	,	PUNCT
bracis-28355	89	18	\dots	\dot	NOUN
bracis-28355	89	19	,	,	PUNCT
bracis-28355	89	20	g_h\}\	g_h\}\	PROPN
bracis-28355	89	21	)	)	PUNCT
bracis-28355	89	22	that	that	PRON
bracis-28355	89	23	puts	put	VERB
bracis-28355	89	24	each	each	DET
bracis-28355	89	25	color	color	NOUN
bracis-28355	89	26	in	in	ADP
bracis-28355	89	27	exactly	exactly	ADV
bracis-28355	89	28	one	one	NUM
bracis-28355	89	29	group	group	NOUN
bracis-28355	89	30	,	,	PUNCT
bracis-28355	89	31	that	that	ADV
bracis-28355	89	32	is	is	ADV
bracis-28355	89	33	,	,	PUNCT
bracis-28355	89	34	\(\bigcup	\(\bigcup	PUNCT
bracis-28355	89	35	_	_	PUNCT
bracis-28355	89	36	{	{	PUNCT
bracis-28355	89	37	a=1}^h	a=1}^h	PUNCT
bracis-28355	89	38	g_a	g_a	PROPN
bracis-28355	90	1	=	=	SYM
bracis-28355	90	2	\mathcal	\mathcal	PROPN
bracis-28355	90	3	{	{	PUNCT
bracis-28355	90	4	c}\	c}\	NOUN
bracis-28355	90	5	)	)	PUNCT
bracis-28355	90	6	and	and	CCONJ
bracis-28355	90	7	\(g_a	\(g_a	VERB
bracis-28355	90	8	\cap	\cap	PROPN
bracis-28355	90	9	g_b	g_b	PUNCT
bracis-28355	90	10	=	=	PUNCT
bracis-28355	91	1	\emptyset	\emptyset	VERB
bracis-28355	91	2	\	\	NOUN
bracis-28355	91	3	)	)	PUNCT
bracis-28355	91	4	for	for	ADP
bracis-28355	91	5	all	all	DET
bracis-28355	91	6	\(a	\(a	NOUN
bracis-28355	91	7	,	,	PUNCT
bracis-28355	91	8	b\in	b\in	PROPN
bracis-28355	91	9	\{1	\{1	PROPN
bracis-28355	91	10	,	,	PUNCT
bracis-28355	91	11	2	2	NUM
bracis-28355	91	12	,	,	PUNCT
bracis-28355	91	13	\dots	\dot	NOUN
bracis-28355	91	14	,	,	PUNCT
bracis-28355	91	15	h\}\	h\}\	NOUN
bracis-28355	91	16	)	)	PUNCT
bracis-28355	91	17	with	with	ADP
bracis-28355	91	18	\(a	\(a	NOUN
bracis-28355	91	19	\ne	\ne	PROPN
bracis-28355	91	20	b\	b\	NOUN
bracis-28355	91	21	)	)	PUNCT
bracis-28355	91	22	.	.	PUNCT
bracis-28355	92	1	we	we	PRON
bracis-28355	92	2	propose	propose	VERB
bracis-28355	92	3	a	a	DET
bracis-28355	92	4	generalized	generalized	ADJ
bracis-28355	92	5	version	version	NOUN
bracis-28355	92	6	of	of	ADP
bracis-28355	92	7	the	the	DET
bracis-28355	92	8	fc	fc	PROPN
bracis-28355	92	9	called	call	VERB
bracis-28355	92	10	multi	multi	ADJ
bracis-28355	92	11	-	-	ADJ
bracis-28355	92	12	attribute	attribute	NOUN
bracis-28355	92	13	fairer	fair	ADJ
bracis-28355	92	14	cover	cover	NOUN
bracis-28355	92	15	–	–	PUNCT
bracis-28355	92	16	mafc	mafc	NOUN
bracis-28355	92	17	as	as	SCONJ
bracis-28355	92	18	shown	show	VERB
bracis-28355	92	19	in	in	ADP
bracis-28355	92	20	definition	definition	NOUN
bracis-28355	92	21	 	 	SPACE
bracis-28355	92	22	2.2	2.2	NUM
bracis-28355	92	23	.	.	PUNCT
bracis-28355	93	1	this	this	DET
bracis-28355	93	2	version	version	NOUN
bracis-28355	93	3	of	of	ADP
bracis-28355	93	4	the	the	DET
bracis-28355	93	5	problem	problem	NOUN
bracis-28355	93	6	considers	consider	VERB
bracis-28355	93	7	the	the	DET
bracis-28355	93	8	fairness	fairness	NOUN
bracis-28355	93	9	among	among	ADP
bracis-28355	93	10	the	the	DET
bracis-28355	93	11	colors	color	NOUN
bracis-28355	93	12	of	of	ADP
bracis-28355	93	13	the	the	DET
bracis-28355	93	14	group	group	NOUN
bracis-28355	93	15	,	,	PUNCT
bracis-28355	93	16	that	that	ADV
bracis-28355	93	17	is	is	ADV
bracis-28355	93	18	,	,	PUNCT
bracis-28355	93	19	our	our	PRON
bracis-28355	93	20	goal	goal	NOUN
bracis-28355	93	21	is	be	AUX
bracis-28355	93	22	to	to	PART
bracis-28355	93	23	have	have	VERB
bracis-28355	93	24	a	a	DET
bracis-28355	93	25	selection	selection	NOUN
bracis-28355	93	26	that	that	PRON
bracis-28355	93	27	is	be	AUX
bracis-28355	93	28	as	as	ADV
bracis-28355	93	29	fair	fair	ADJ
bracis-28355	93	30	as	as	ADP
bracis-28355	93	31	possible	possible	ADJ
bracis-28355	93	32	when	when	SCONJ
bracis-28355	93	33	analyzed	analyze	VERB
bracis-28355	93	34	in	in	ADP
bracis-28355	93	35	each	each	DET
bracis-28355	93	36	group	group	NOUN
bracis-28355	93	37	of	of	ADP
bracis-28355	93	38	colors	color	NOUN
bracis-28355	93	39	individually	individually	ADV
bracis-28355	93	40	.	.	PUNCT
bracis-28355	94	1	note	note	VERB
bracis-28355	94	2	that	that	SCONJ
bracis-28355	94	3	,	,	PUNCT
bracis-28355	94	4	if	if	SCONJ
bracis-28355	94	5	\(h=1\	\(h=1\	PROPN
bracis-28355	94	6	)	)	PUNCT
bracis-28355	94	7	,	,	PUNCT
bracis-28355	94	8	we	we	PRON
bracis-28355	94	9	have	have	VERB
bracis-28355	94	10	a	a	DET
bracis-28355	94	11	problem	problem	NOUN
bracis-28355	94	12	equivalent	equivalent	ADJ
bracis-28355	94	13	to	to	ADP
bracis-28355	94	14	fc	fc	PROPN
bracis-28355	94	15	.	.	PUNCT
bracis-28355	95	1	the	the	DET
bracis-28355	95	2	definition	definition	NOUN
bracis-28355	95	3	of	of	ADP
bracis-28355	95	4	the	the	DET
bracis-28355	95	5	mafc	mafc	PROPN
bracis-28355	95	6	differs	differ	VERB
bracis-28355	95	7	from	from	ADP
bracis-28355	95	8	that	that	PRON
bracis-28355	95	9	of	of	ADP
bracis-28355	95	10	fc	fc	PROPN
bracis-28355	95	11	in	in	ADP
bracis-28355	95	12	two	two	NUM
bracis-28355	95	13	main	main	ADJ
bracis-28355	95	14	points	point	NOUN
bracis-28355	95	15	,	,	PUNCT
bracis-28355	95	16	one	one	NUM
bracis-28355	95	17	is	be	AUX
bracis-28355	95	18	the	the	DET
bracis-28355	95	19	already	already	ADV
bracis-28355	95	20	discussed	discuss	VERB
bracis-28355	95	21	need	need	NOUN
bracis-28355	95	22	to	to	PART
bracis-28355	95	23	consider	consider	VERB
bracis-28355	95	24	the	the	DET
bracis-28355	95	25	fairness	fairness	NOUN
bracis-28355	95	26	among	among	ADP
bracis-28355	95	27	the	the	DET
bracis-28355	95	28	groups	group	NOUN
bracis-28355	95	29	of	of	ADP
bracis-28355	95	30	elements	element	NOUN
bracis-28355	95	31	and	and	CCONJ
bracis-28355	95	32	the	the	DET
bracis-28355	95	33	other	other	ADJ
bracis-28355	95	34	is	be	AUX
bracis-28355	95	35	the	the	DET
bracis-28355	95	36	removal	removal	NOUN
bracis-28355	95	37	of	of	ADP
bracis-28355	95	38	parameter	parameter	NOUN
bracis-28355	95	39	s	s	PRON
bracis-28355	95	40	that	that	PRON
bracis-28355	95	41	specifies	specify	VERB
bracis-28355	95	42	the	the	DET
bracis-28355	95	43	minimum	minimum	ADJ
bracis-28355	95	44	number	number	NOUN
bracis-28355	95	45	of	of	ADP
bracis-28355	95	46	elements	element	NOUN
bracis-28355	95	47	to	to	PART
bracis-28355	95	48	be	be	AUX
bracis-28355	95	49	covered	cover	VERB
bracis-28355	95	50	.	.	PUNCT
bracis-28355	96	1	in	in	ADP
bracis-28355	96	2	an	an	DET
bracis-28355	96	3	instance	instance	NOUN
bracis-28355	96	4	where	where	SCONJ
bracis-28355	96	5	every	every	DET
bracis-28355	96	6	subset	subset	VERB
bracis-28355	96	7	\(\mathcal	\(\mathcal	ADJ
bracis-28355	96	8	{	{	PUNCT
bracis-28355	96	9	s}_{\ell	s}_{\ell	ADJ
bracis-28355	96	10	}	}	PUNCT
bracis-28355	96	11	\	\	NOUN
bracis-28355	96	12	)	)	PUNCT
bracis-28355	96	13	has	have	VERB
bracis-28355	96	14	the	the	DET
bracis-28355	96	15	same	same	ADJ
bracis-28355	96	16	size	size	NOUN
bracis-28355	96	17	t	t	PROPN
bracis-28355	96	18	,	,	PUNCT
bracis-28355	96	19	a	a	DET
bracis-28355	96	20	k	k	NOUN
bracis-28355	96	21	-	-	NOUN
bracis-28355	96	22	cover	cover	NOUN
bracis-28355	96	23	always	always	ADV
bracis-28355	96	24	covers	cover	VERB
bracis-28355	96	25	exactly	exactly	ADV
bracis-28355	96	26	\(s\times	\(s\time	NOUN
bracis-28355	96	27	t\	t\	ADJ
bracis-28355	96	28	)	)	PUNCT
bracis-28355	96	29	elements	element	NOUN
bracis-28355	96	30	.	.	PUNCT
bracis-28355	97	1	therefore	therefore	ADV
bracis-28355	97	2	,	,	PUNCT
bracis-28355	97	3	there	there	PRON
bracis-28355	97	4	is	be	VERB
bracis-28355	97	5	no	no	DET
bracis-28355	97	6	need	need	NOUN
bracis-28355	97	7	to	to	PART
bracis-28355	97	8	specify	specify	VERB
bracis-28355	97	9	a	a	DET
bracis-28355	97	10	minimum	minimum	ADJ
bracis-28355	97	11	number	number	NOUN
bracis-28355	97	12	of	of	ADP
bracis-28355	97	13	covered	cover	VERB
bracis-28355	97	14	elements	element	NOUN
bracis-28355	97	15	.	.	PUNCT
bracis-28355	98	1	in	in	ADP
bracis-28355	98	2	the	the	DET
bracis-28355	98	3	remainder	remainder	NOUN
bracis-28355	98	4	of	of	ADP
bracis-28355	98	5	this	this	DET
bracis-28355	98	6	section	section	NOUN
bracis-28355	98	7	,	,	PUNCT
bracis-28355	98	8	we	we	PRON
bracis-28355	98	9	describe	describe	VERB
bracis-28355	98	10	the	the	DET
bracis-28355	98	11	dataset	dataset	NOUN
bracis-28355	98	12	used	use	VERB
bracis-28355	98	13	in	in	ADP
bracis-28355	98	14	our	our	PRON
bracis-28355	98	15	experiments	experiment	NOUN
bracis-28355	98	16	,	,	PUNCT
bracis-28355	98	17	as	as	ADV
bracis-28355	98	18	well	well	ADV
bracis-28355	98	19	as	as	ADP
bracis-28355	98	20	the	the	DET
bracis-28355	98	21	proposed	propose	VERB
bracis-28355	98	22	method	method	NOUN
bracis-28355	98	23	for	for	ADP
bracis-28355	98	24	selecting	select	VERB
bracis-28355	98	25	a	a	DET
bracis-28355	98	26	fair	fair	ADJ
bracis-28355	98	27	coverage	coverage	NOUN
bracis-28355	98	28	and	and	CCONJ
bracis-28355	98	29	the	the	DET
bracis-28355	98	30	model	model	NOUN
bracis-28355	98	31	employed	employ	VERB
bracis-28355	98	32	for	for	ADP
bracis-28355	98	33	the	the	DET
bracis-28355	98	34	age	age	NOUN
bracis-28355	98	35	regression	regression	NOUN
bracis-28355	98	36	task	task	NOUN
bracis-28355	98	37	.	.	PUNCT
bracis-28355	99	1	we	we	PRON
bracis-28355	99	2	also	also	ADV
bracis-28355	99	3	present	present	VERB
bracis-28355	99	4	the	the	DET
bracis-28355	99	5	evaluation	evaluation	NOUN
bracis-28355	99	6	metrics	metric	NOUN
bracis-28355	99	7	and	and	CCONJ
bracis-28355	99	8	the	the	DET
bracis-28355	99	9	setup	setup	NOUN
bracis-28355	99	10	used	use	VERB
bracis-28355	99	11	for	for	ADP
bracis-28355	99	12	our	our	PRON
bracis-28355	99	13	experiments	experiment	NOUN
bracis-28355	99	14	.	.	PUNCT
bracis-28355	100	1	2.1	2.1	NUM
bracis-28355	100	2	utkface	utkface	NOUN
bracis-28355	100	3	dataset	dataset	VERB
bracis-28355	100	4	to	to	PART
bracis-28355	100	5	evaluate	evaluate	VERB
bracis-28355	100	6	our	our	PRON
bracis-28355	100	7	proposed	propose	VERB
bracis-28355	100	8	method	method	NOUN
bracis-28355	100	9	for	for	ADP
bracis-28355	100	10	a	a	DET
bracis-28355	100	11	fair	fair	ADJ
bracis-28355	100	12	selection	selection	NOUN
bracis-28355	100	13	of	of	ADP
bracis-28355	100	14	samples	sample	NOUN
bracis-28355	100	15	,	,	PUNCT
bracis-28355	100	16	we	we	PRON
bracis-28355	100	17	use	use	VERB
bracis-28355	100	18	utkface	utkface	NOUN
bracis-28355	100	19	dataset	dataset	NOUN
bracis-28355	100	20	 	 	SPACE
bracis-28355	101	1	[	[	X
bracis-28355	101	2	14	14	NUM
bracis-28355	101	3	]	]	PUNCT
bracis-28355	101	4	in	in	ADP
bracis-28355	101	5	our	our	PRON
bracis-28355	101	6	experiments	experiment	NOUN
bracis-28355	101	7	.	.	PUNCT
bracis-28355	102	1	this	this	DET
bracis-28355	102	2	database	database	NOUN
bracis-28355	102	3	consists	consist	VERB
bracis-28355	102	4	of	of	ADP
bracis-28355	102	5	face	face	NOUN
bracis-28355	102	6	images	image	NOUN
bracis-28355	102	7	of	of	ADP
bracis-28355	102	8	people	people	NOUN
bracis-28355	102	9	with	with	ADP
bracis-28355	102	10	different	different	ADJ
bracis-28355	102	11	characteristics	characteristic	NOUN
bracis-28355	102	12	,	,	PUNCT
bracis-28355	102	13	which	which	PRON
bracis-28355	102	14	includes	include	VERB
bracis-28355	102	15	age	age	NOUN
bracis-28355	102	16	(	(	PUNCT
bracis-28355	102	17	integer	integer	NOUN
bracis-28355	102	18	value	value	NOUN
bracis-28355	102	19	ranging	range	VERB
bracis-28355	102	20	from	from	ADP
bracis-28355	102	21	1	1	NUM
bracis-28355	102	22	to	to	ADP
bracis-28355	102	23	116	116	NUM
bracis-28355	102	24	)	)	PUNCT
bracis-28355	102	25	,	,	PUNCT
bracis-28355	102	26	gender	gender	NOUN
bracis-28355	102	27	(	(	PUNCT
bracis-28355	102	28	male	male	ADJ
bracis-28355	102	29	or	or	CCONJ
bracis-28355	102	30	female	female	NOUN
bracis-28355	102	31	)	)	PUNCT
bracis-28355	102	32	,	,	PUNCT
bracis-28355	102	33	and	and	CCONJ
bracis-28355	102	34	race	race	NOUN
bracis-28355	102	35	(	(	PUNCT
bracis-28355	102	36	white	white	ADJ
bracis-28355	102	37	,	,	PUNCT
bracis-28355	102	38	black	black	ADJ
bracis-28355	102	39	,	,	PUNCT
bracis-28355	102	40	asian	asian	ADJ
bracis-28355	102	41	,	,	PUNCT
bracis-28355	102	42	indian	indian	ADJ
bracis-28355	102	43	,	,	PUNCT
bracis-28355	102	44	and	and	CCONJ
bracis-28355	102	45	other	other	ADJ
bracis-28355	102	46	,	,	PUNCT
bracis-28355	102	47	that	that	ADV
bracis-28355	102	48	is	is	ADV
bracis-28355	102	49	,	,	PUNCT
bracis-28355	102	50	hispanic	hispanic	ADJ
bracis-28355	102	51	,	,	PUNCT
bracis-28355	102	52	latino	latino	ADJ
bracis-28355	102	53	,	,	PUNCT
bracis-28355	102	54	and	and	CCONJ
bracis-28355	102	55	middle	middle	ADJ
bracis-28355	102	56	eastern	eastern	ADJ
bracis-28355	102	57	)	)	PUNCT
bracis-28355	102	58	.	.	PUNCT
bracis-28355	103	1	it	it	PRON
bracis-28355	103	2	is	be	AUX
bracis-28355	103	3	worth	worth	ADJ
bracis-28355	103	4	noting	note	VERB
bracis-28355	103	5	that	that	SCONJ
bracis-28355	103	6	even	even	ADV
bracis-28355	103	7	though	though	SCONJ
bracis-28355	103	8	the	the	DET
bracis-28355	103	9	age	age	NOUN
bracis-28355	103	10	ranges	range	VERB
bracis-28355	103	11	from	from	ADP
bracis-28355	103	12	1	1	NUM
bracis-28355	103	13	to	to	ADP
bracis-28355	103	14	116	116	NUM
bracis-28355	103	15	,	,	PUNCT
bracis-28355	103	16	the	the	DET
bracis-28355	103	17	dataset	dataset	NOUN
bracis-28355	103	18	does	do	AUX
bracis-28355	103	19	not	not	PART
bracis-28355	103	20	contain	contain	VERB
bracis-28355	103	21	samples	sample	NOUN
bracis-28355	103	22	for	for	ADP
bracis-28355	103	23	every	every	DET
bracis-28355	103	24	value	value	NOUN
bracis-28355	103	25	.	.	PUNCT
bracis-28355	104	1	in	in	ADP
bracis-28355	104	2	fact	fact	NOUN
bracis-28355	104	3	,	,	PUNCT
bracis-28355	104	4	there	there	PRON
bracis-28355	104	5	are	be	VERB
bracis-28355	104	6	only	only	ADV
bracis-28355	104	7	104	104	NUM
bracis-28355	104	8	distinct	distinct	ADJ
bracis-28355	104	9	values	value	NOUN
bracis-28355	104	10	.	.	PUNCT
bracis-28355	105	1	from	from	ADP
bracis-28355	105	2	the	the	DET
bracis-28355	105	3	original	original	ADJ
bracis-28355	105	4	utkface	utkface	NOUN
bracis-28355	105	5	dataset	dataset	NOUN
bracis-28355	105	6	,	,	PUNCT
bracis-28355	105	7	we	we	PRON
bracis-28355	105	8	split	split	VERB
bracis-28355	105	9	it	it	PRON
bracis-28355	105	10	into	into	ADP
bracis-28355	105	11	64	64	NUM
bracis-28355	105	12	%	%	NOUN
bracis-28355	105	13	,	,	PUNCT
bracis-28355	105	14	16	16	NUM
bracis-28355	105	15	%	%	NOUN
bracis-28355	105	16	,	,	PUNCT
bracis-28355	105	17	and	and	CCONJ
bracis-28355	105	18	20	20	NUM
bracis-28355	105	19	%	%	NOUN
bracis-28355	105	20	for	for	ADP
bracis-28355	105	21	training	training	NOUN
bracis-28355	105	22	,	,	PUNCT
bracis-28355	105	23	validation	validation	NOUN
bracis-28355	105	24	,	,	PUNCT
bracis-28355	105	25	and	and	CCONJ
bracis-28355	105	26	test	test	NOUN
bracis-28355	105	27	sets	set	NOUN
bracis-28355	105	28	,	,	PUNCT
bracis-28355	105	29	respectively	respectively	ADV
bracis-28355	105	30	.	.	PUNCT
bracis-28355	106	1	table	table	NOUN
bracis-28355	106	2	 	 	SPACE
bracis-28355	106	3	1	1	NUM
bracis-28355	106	4	presents	present	VERB
bracis-28355	106	5	the	the	DET
bracis-28355	106	6	number	number	NOUN
bracis-28355	106	7	of	of	ADP
bracis-28355	106	8	samples	sample	NOUN
bracis-28355	106	9	of	of	ADP
bracis-28355	106	10	each	each	DET
bracis-28355	106	11	set	set	NOUN
bracis-28355	106	12	of	of	ADP
bracis-28355	106	13	our	our	PRON
bracis-28355	106	14	split	split	NOUN
bracis-28355	106	15	from	from	ADP
bracis-28355	106	16	utkface	utkface	NOUN
bracis-28355	106	17	.	.	PUNCT
bracis-28355	107	1	table	table	NOUN
bracis-28355	107	2	1	1	NUM
bracis-28355	107	3	.	.	X
bracis-28355	107	4	number	number	NOUN
bracis-28355	107	5	of	of	ADP
bracis-28355	107	6	images	image	NOUN
bracis-28355	107	7	in	in	ADP
bracis-28355	107	8	training	training	NOUN
bracis-28355	107	9	,	,	PUNCT
bracis-28355	107	10	validation	validation	NOUN
bracis-28355	107	11	,	,	PUNCT
bracis-28355	107	12	and	and	CCONJ
bracis-28355	107	13	test	test	VERB
bracis-28355	107	14	sets.full	sets.full	PRON
bracis-28355	107	15	size	size	NOUN
bracis-28355	107	16	table	table	NOUN
bracis-28355	107	17	the	the	DET
bracis-28355	107	18	frequencies	frequency	NOUN
bracis-28355	107	19	of	of	ADP
bracis-28355	107	20	gender	gender	NOUN
bracis-28355	107	21	and	and	CCONJ
bracis-28355	107	22	race	race	NOUN
bracis-28355	107	23	of	of	ADP
bracis-28355	107	24	training	training	NOUN
bracis-28355	107	25	,	,	PUNCT
bracis-28355	107	26	validation	validation	NOUN
bracis-28355	107	27	,	,	PUNCT
bracis-28355	107	28	and	and	CCONJ
bracis-28355	107	29	test	test	NOUN
bracis-28355	107	30	sets	set	NOUN
bracis-28355	107	31	are	be	AUX
bracis-28355	107	32	presented	present	VERB
bracis-28355	107	33	in	in	ADP
bracis-28355	107	34	figs	fig	NOUN
bracis-28355	107	35	.	.	PUNCT
bracis-28355	107	36	 	 	SPACE
bracis-28355	107	37	1a	1a	NOUN
bracis-28355	107	38	and	and	CCONJ
bracis-28355	107	39	 	 	SPACE
bracis-28355	107	40	1b	1b	NUM
bracis-28355	107	41	.	.	PUNCT
bracis-28355	108	1	concerning	concern	VERB
bracis-28355	108	2	gender	gender	NOUN
bracis-28355	108	3	,	,	PUNCT
bracis-28355	108	4	there	there	PRON
bracis-28355	108	5	are	be	VERB
bracis-28355	108	6	more	more	ADJ
bracis-28355	108	7	images	image	NOUN
bracis-28355	108	8	of	of	ADP
bracis-28355	108	9	males	male	NOUN
bracis-28355	108	10	than	than	ADP
bracis-28355	108	11	females	female	NOUN
bracis-28355	108	12	in	in	ADP
bracis-28355	108	13	all	all	DET
bracis-28355	108	14	three	three	NUM
bracis-28355	108	15	sets	set	NOUN
bracis-28355	108	16	,	,	PUNCT
bracis-28355	108	17	although	although	SCONJ
bracis-28355	108	18	this	this	DET
bracis-28355	108	19	difference	difference	NOUN
bracis-28355	108	20	is	be	AUX
bracis-28355	108	21	less	less	ADV
bracis-28355	108	22	accentuated	accentuated	ADJ
bracis-28355	108	23	.	.	PUNCT
bracis-28355	109	1	considering	consider	VERB
bracis-28355	109	2	race	race	NOUN
bracis-28355	109	3	,	,	PUNCT
bracis-28355	109	4	the	the	DET
bracis-28355	109	5	white	white	ADJ
bracis-28355	109	6	class	class	NOUN
bracis-28355	109	7	is	be	AUX
bracis-28355	109	8	more	more	ADV
bracis-28355	109	9	frequent	frequent	ADJ
bracis-28355	109	10	,	,	PUNCT
bracis-28355	109	11	followed	follow	VERB
bracis-28355	109	12	by	by	ADP
bracis-28355	109	13	black	black	ADJ
bracis-28355	109	14	,	,	PUNCT
bracis-28355	109	15	indian	indian	ADJ
bracis-28355	109	16	,	,	PUNCT
bracis-28355	109	17	and	and	CCONJ
bracis-28355	109	18	asian	asian	ADJ
bracis-28355	109	19	,	,	PUNCT
bracis-28355	109	20	and	and	CCONJ
bracis-28355	109	21	other	other	ADJ
bracis-28355	109	22	(	(	PUNCT
bracis-28355	109	23	hispanic	hispanic	ADJ
bracis-28355	109	24	,	,	PUNCT
bracis-28355	109	25	latino	latino	ADJ
bracis-28355	109	26	,	,	PUNCT
bracis-28355	109	27	and	and	CCONJ
bracis-28355	109	28	middle	middle	ADJ
bracis-28355	109	29	eastern	eastern	ADJ
bracis-28355	109	30	)	)	PUNCT
bracis-28355	109	31	have	have	VERB
bracis-28355	109	32	the	the	DET
bracis-28355	109	33	lowest	low	ADJ
bracis-28355	109	34	representation	representation	NOUN
bracis-28355	109	35	in	in	ADP
bracis-28355	109	36	the	the	DET
bracis-28355	109	37	sets	set	NOUN
bracis-28355	109	38	.	.	PUNCT
bracis-28355	110	1	it	it	PRON
bracis-28355	110	2	is	be	AUX
bracis-28355	110	3	worth	worth	ADJ
bracis-28355	110	4	noting	note	VERB
bracis-28355	110	5	that	that	SCONJ
bracis-28355	110	6	the	the	DET
bracis-28355	110	7	most	most	ADV
bracis-28355	110	8	frequent	frequent	ADJ
bracis-28355	110	9	class	class	NOUN
bracis-28355	110	10	is	be	AUX
bracis-28355	110	11	roughly	roughly	ADV
bracis-28355	110	12	double	double	DET
bracis-28355	110	13	the	the	DET
bracis-28355	110	14	second	second	ADJ
bracis-28355	110	15	most	most	ADV
bracis-28355	110	16	frequent	frequent	ADJ
bracis-28355	110	17	class	class	NOUN
bracis-28355	110	18	,	,	PUNCT
bracis-28355	110	19	which	which	PRON
bracis-28355	110	20	showcases	showcase	VERB
bracis-28355	110	21	how	how	SCONJ
bracis-28355	110	22	unbalanced	unbalanced	ADJ
bracis-28355	110	23	the	the	DET
bracis-28355	110	24	dataset	dataset	NOUN
bracis-28355	110	25	is	be	AUX
bracis-28355	110	26	.	.	PUNCT
bracis-28355	111	1	2.2	2.2	NUM
bracis-28355	111	2	proposed	propose	VERB
bracis-28355	111	3	method	method	NOUN
bracis-28355	111	4	in	in	ADP
bracis-28355	111	5	this	this	DET
bracis-28355	111	6	subsection	subsection	NOUN
bracis-28355	111	7	,	,	PUNCT
bracis-28355	111	8	we	we	PRON
bracis-28355	111	9	describe	describe	VERB
bracis-28355	111	10	the	the	DET
bracis-28355	111	11	proposed	propose	VERB
bracis-28355	111	12	method	method	NOUN
bracis-28355	111	13	for	for	ADP
bracis-28355	111	14	fair	fair	ADJ
bracis-28355	111	15	age	age	NOUN
bracis-28355	111	16	regression	regression	NOUN
bracis-28355	111	17	,	,	PUNCT
bracis-28355	111	18	divided	divide	VERB
bracis-28355	111	19	into	into	ADP
bracis-28355	111	20	ilp	ilp	ADJ
bracis-28355	111	21	and	and	CCONJ
bracis-28355	111	22	age	age	NOUN
bracis-28355	111	23	regression	regression	NOUN
bracis-28355	111	24	models	model	NOUN
bracis-28355	111	25	.	.	PUNCT
bracis-28355	112	1	the	the	DET
bracis-28355	112	2	pipeline	pipeline	NOUN
bracis-28355	112	3	of	of	ADP
bracis-28355	112	4	the	the	DET
bracis-28355	112	5	proposed	propose	VERB
bracis-28355	112	6	method	method	NOUN
bracis-28355	112	7	,	,	PUNCT
bracis-28355	112	8	with	with	ADP
bracis-28355	112	9	ilp	ilp	NOUN
bracis-28355	112	10	and	and	CCONJ
bracis-28355	112	11	age	age	NOUN
bracis-28355	112	12	regression	regression	NOUN
bracis-28355	112	13	models	model	NOUN
bracis-28355	112	14	,	,	PUNCT
bracis-28355	112	15	is	be	AUX
bracis-28355	112	16	illustrated	illustrate	VERB
bracis-28355	112	17	in	in	ADP
bracis-28355	112	18	fig	fig	NOUN
bracis-28355	112	19	.	.	PUNCT
bracis-28355	112	20	 	 	SPACE
bracis-28355	113	1	2	2	NUM
bracis-28355	113	2	.	.	PUNCT
bracis-28355	113	3	from	from	ADP
bracis-28355	113	4	the	the	DET
bracis-28355	113	5	original	original	ADJ
bracis-28355	113	6	utkface	utkface	NOUN
bracis-28355	113	7	images	image	NOUN
bracis-28355	113	8	and	and	CCONJ
bracis-28355	113	9	annotations	annotation	NOUN
bracis-28355	113	10	,	,	PUNCT
bracis-28355	113	11	we	we	PRON
bracis-28355	113	12	created	create	VERB
bracis-28355	113	13	instances	instance	NOUN
bracis-28355	113	14	for	for	ADP
bracis-28355	113	15	the	the	DET
bracis-28355	113	16	mafc	mafc	PROPN
bracis-28355	113	17	combinatorial	combinatorial	ADJ
bracis-28355	113	18	problem	problem	NOUN
bracis-28355	113	19	.	.	PUNCT
bracis-28355	114	1	we	we	PRON
bracis-28355	114	2	then	then	ADV
bracis-28355	114	3	solved	solve	VERB
bracis-28355	114	4	each	each	DET
bracis-28355	114	5	instance	instance	NOUN
bracis-28355	114	6	of	of	ADP
bracis-28355	114	7	the	the	DET
bracis-28355	114	8	mafc	mafc	NOUN
bracis-28355	114	9	using	use	VERB
bracis-28355	114	10	an	an	DET
bracis-28355	114	11	ilp	ilp	ADJ
bracis-28355	114	12	model	model	NOUN
bracis-28355	114	13	.	.	PUNCT
bracis-28355	115	1	from	from	ADP
bracis-28355	115	2	the	the	DET
bracis-28355	115	3	ilp	ilp	ADJ
bracis-28355	115	4	solution	solution	NOUN
bracis-28355	115	5	,	,	PUNCT
bracis-28355	115	6	we	we	PRON
bracis-28355	115	7	obtained	obtain	VERB
bracis-28355	115	8	a	a	DET
bracis-28355	115	9	fair	fair	ADJ
bracis-28355	115	10	training	training	NOUN
bracis-28355	115	11	subset	subset	NOUN
bracis-28355	115	12	considering	consider	VERB
bracis-28355	115	13	age	age	NOUN
bracis-28355	115	14	,	,	PUNCT
bracis-28355	115	15	gender	gender	NOUN
bracis-28355	115	16	,	,	PUNCT
bracis-28355	115	17	and	and	CCONJ
bracis-28355	115	18	race	race	NOUN
bracis-28355	115	19	.	.	PUNCT
bracis-28355	116	1	lastly	lastly	ADV
bracis-28355	116	2	,	,	PUNCT
bracis-28355	116	3	we	we	PRON
bracis-28355	116	4	trained	train	VERB
bracis-28355	116	5	and	and	CCONJ
bracis-28355	116	6	evaluated	evaluate	VERB
bracis-28355	116	7	the	the	DET
bracis-28355	116	8	predictions	prediction	NOUN
bracis-28355	116	9	of	of	ADP
bracis-28355	116	10	the	the	DET
bracis-28355	116	11	age	age	NOUN
bracis-28355	116	12	regression	regression	NOUN
bracis-28355	116	13	model	model	NOUN
bracis-28355	116	14	.	.	PUNCT
bracis-28355	117	1	fig	fig	NOUN
bracis-28355	117	2	.	.	PUNCT
bracis-28355	118	1	1	1	X
bracis-28355	118	2	.	.	X
bracis-28355	118	3	gender	gender	NOUN
bracis-28355	118	4	and	and	CCONJ
bracis-28355	118	5	race	race	NOUN
bracis-28355	118	6	distribution	distribution	NOUN
bracis-28355	118	7	on	on	ADP
bracis-28355	118	8	training	training	NOUN
bracis-28355	118	9	,	,	PUNCT
bracis-28355	118	10	validation	validation	NOUN
bracis-28355	118	11	,	,	PUNCT
bracis-28355	118	12	and	and	CCONJ
bracis-28355	118	13	test	test	NOUN
bracis-28355	118	14	sets	set	NOUN
bracis-28355	118	15	.	.	PUNCT
bracis-28355	119	1	full	full	ADJ
bracis-28355	119	2	size	size	NOUN
bracis-28355	119	3	image	image	NOUN
bracis-28355	119	4	fig	fig	NOUN
bracis-28355	119	5	.	.	PUNCT
bracis-28355	120	1	2	2	X
bracis-28355	120	2	.	.	X
bracis-28355	120	3	pipeline	pipeline	NOUN
bracis-28355	120	4	of	of	ADP
bracis-28355	120	5	the	the	DET
bracis-28355	120	6	proposed	propose	VERB
bracis-28355	120	7	method	method	NOUN
bracis-28355	120	8	.	.	PUNCT
bracis-28355	121	1	full	full	ADJ
bracis-28355	121	2	size	size	NOUN
bracis-28355	121	3	image	image	NOUN
bracis-28355	121	4	ilp	ilp	NOUN
bracis-28355	121	5	model	model	NOUN
bracis-28355	121	6	.	.	PUNCT
bracis-28355	122	1	in	in	ADP
bracis-28355	122	2	this	this	DET
bracis-28355	122	3	section	section	NOUN
bracis-28355	122	4	we	we	PRON
bracis-28355	122	5	present	present	VERB
bracis-28355	122	6	an	an	DET
bracis-28355	122	7	ilp	ilp	ADJ
bracis-28355	122	8	 	 	SPACE
bracis-28355	122	9	formulation	formulation	NOUN
bracis-28355	122	10	that	that	PRON
bracis-28355	122	11	models	model	VERB
bracis-28355	122	12	the	the	DET
bracis-28355	122	13	mafc	mafc	PROPN
bracis-28355	122	14	problem	problem	NOUN
bracis-28355	122	15	.	.	PUNCT
bracis-28355	123	1	the	the	DET
bracis-28355	123	2	model	model	NOUN
bracis-28355	123	3	is	be	AUX
bracis-28355	123	4	described	describe	VERB
bracis-28355	123	5	by	by	ADP
bracis-28355	123	6	eqs	eqs	PROPN
bracis-28355	123	7	.	.	PUNCT
bracis-28355	123	8	 	 	SPACE
bracis-28355	123	9	(	(	PUNCT
bracis-28355	123	10	1a	1a	NUM
bracis-28355	123	11	)	)	PUNCT
bracis-28355	123	12	 	 	SPACE
bracis-28355	123	13	-	-	PUNCT
bracis-28355	123	14	 	 	SPACE
bracis-28355	123	15	(	(	PUNCT
bracis-28355	123	16	1	1	NUM
bracis-28355	123	17	g	g	NOUN
bracis-28355	123	18	)	)	PUNCT
bracis-28355	123	19	.	.	PUNCT
bracis-28355	124	1	the	the	DET
bracis-28355	124	2	model	model	NOUN
bracis-28355	124	3	uses	use	VERB
bracis-28355	124	4	three	three	NUM
bracis-28355	124	5	decision	decision	NOUN
bracis-28355	124	6	variables	variable	NOUN
bracis-28355	124	7	:	:	PUNCT
bracis-28355	124	8	\(x_j\	\(x_j\	PROPN
bracis-28355	124	9	)	)	PUNCT
bracis-28355	124	10	,	,	PUNCT
bracis-28355	124	11	\(y_\ell	\(y_\ell	PUNCT
bracis-28355	124	12	\	\	NOUN
bracis-28355	124	13	)	)	PUNCT
bracis-28355	124	14	and	and	CCONJ
bracis-28355	124	15	\(q_c\	\(q_c\	NUM
bracis-28355	124	16	)	)	PUNCT
bracis-28355	124	17	.	.	PUNCT
bracis-28355	125	1	the	the	DET
bracis-28355	125	2	first	first	ADJ
bracis-28355	125	3	two	two	NUM
bracis-28355	125	4	are	be	AUX
bracis-28355	125	5	binary	binary	ADJ
bracis-28355	125	6	and	and	CCONJ
bracis-28355	125	7	the	the	DET
bracis-28355	125	8	last	last	ADJ
bracis-28355	125	9	one	one	NOUN
bracis-28355	125	10	is	be	AUX
bracis-28355	125	11	a	a	DET
bracis-28355	125	12	positive	positive	ADJ
bracis-28355	125	13	integer	integer	NOUN
bracis-28355	125	14	.	.	PUNCT
bracis-28355	126	1	the	the	DET
bracis-28355	126	2	variable	variable	ADJ
bracis-28355	126	3	\(x_j\	\(x_j\	PROPN
bracis-28355	126	4	)	)	PUNCT
bracis-28355	126	5	indicates	indicate	VERB
bracis-28355	126	6	whether	whether	SCONJ
bracis-28355	126	7	the	the	DET
bracis-28355	126	8	element	element	NOUN
bracis-28355	126	9	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	126	10	)	)	PUNCT
bracis-28355	126	11	is	be	AUX
bracis-28355	126	12	covered	cover	VERB
bracis-28355	126	13	and	and	CCONJ
bracis-28355	126	14	the	the	DET
bracis-28355	126	15	variable	variable	ADJ
bracis-28355	126	16	\(y_\ell	\(y_\ell	PUNCT
bracis-28355	126	17	\	\	NOUN
bracis-28355	126	18	)	)	PUNCT
bracis-28355	126	19	indicates	indicate	VERB
bracis-28355	126	20	whether	whether	SCONJ
bracis-28355	126	21	the	the	DET
bracis-28355	126	22	subset	subset	NOUN
bracis-28355	126	23	\(\mathcal	\(\mathcal	ADJ
bracis-28355	126	24	{	{	PUNCT
bracis-28355	126	25	s}_{\ell	s}_{\ell	ADJ
bracis-28355	126	26	}	}	PUNCT
bracis-28355	126	27	\	\	NOUN
bracis-28355	126	28	)	)	PUNCT
bracis-28355	126	29	was	be	AUX
bracis-28355	126	30	selected	select	VERB
bracis-28355	126	31	to	to	PART
bracis-28355	126	32	be	be	AUX
bracis-28355	126	33	a	a	DET
bracis-28355	126	34	part	part	NOUN
bracis-28355	126	35	of	of	ADP
bracis-28355	126	36	the	the	DET
bracis-28355	126	37	k	k	NOUN
bracis-28355	126	38	-	-	NOUN
bracis-28355	126	39	cover	cover	NOUN
bracis-28355	126	40	.	.	PUNCT
bracis-28355	127	1	the	the	DET
bracis-28355	127	2	variable	variable	NOUN
bracis-28355	127	3	\(q_c\	\(q_c\	ADV
bracis-28355	127	4	)	)	PUNCT
bracis-28355	127	5	indicates	indicate	VERB
bracis-28355	127	6	the	the	DET
bracis-28355	127	7	difference	difference	NOUN
bracis-28355	127	8	in	in	ADP
bracis-28355	127	9	the	the	DET
bracis-28355	127	10	number	number	NOUN
bracis-28355	127	11	of	of	ADP
bracis-28355	127	12	covered	cover	VERB
bracis-28355	127	13	elements	element	NOUN
bracis-28355	127	14	that	that	PRON
bracis-28355	127	15	have	have	VERB
bracis-28355	127	16	color	color	NOUN
bracis-28355	127	17	c	c	PROPN
bracis-28355	127	18	and	and	CCONJ
bracis-28355	127	19	the	the	DET
bracis-28355	127	20	ideal	ideal	ADJ
bracis-28355	127	21	number	number	NOUN
bracis-28355	127	22	of	of	ADP
bracis-28355	127	23	covered	cover	VERB
bracis-28355	127	24	elements	element	NOUN
bracis-28355	127	25	that	that	PRON
bracis-28355	127	26	have	have	VERB
bracis-28355	127	27	color	color	NOUN
bracis-28355	127	28	c.	c.	NOUN
bracis-28355	127	29	the	the	DET
bracis-28355	127	30	ideal	ideal	ADJ
bracis-28355	127	31	number	number	NOUN
bracis-28355	127	32	of	of	ADP
bracis-28355	127	33	each	each	DET
bracis-28355	127	34	color	color	NOUN
bracis-28355	127	35	is	be	AUX
bracis-28355	127	36	given	give	VERB
bracis-28355	127	37	by	by	ADP
bracis-28355	127	38	the	the	DET
bracis-28355	127	39	constants	constant	NOUN
bracis-28355	127	40	\(i_c\	\(i_c\	NOUN
bracis-28355	127	41	)	)	PUNCT
bracis-28355	127	42	,	,	PUNCT
bracis-28355	127	43	the	the	DET
bracis-28355	127	44	estimation	estimation	NOUN
bracis-28355	127	45	for	for	ADP
bracis-28355	127	46	this	this	DET
bracis-28355	127	47	value	value	NOUN
bracis-28355	127	48	can	can	AUX
bracis-28355	127	49	be	be	AUX
bracis-28355	127	50	adjusted	adjust	VERB
bracis-28355	127	51	depending	depend	VERB
bracis-28355	127	52	on	on	ADP
bracis-28355	127	53	the	the	DET
bracis-28355	127	54	application	application	NOUN
bracis-28355	127	55	.	.	PUNCT
bracis-28355	128	1	the	the	DET
bracis-28355	128	2	model	model	NOUN
bracis-28355	128	3	also	also	ADV
bracis-28355	128	4	uses	use	VERB
bracis-28355	128	5	the	the	DET
bracis-28355	128	6	constants	constant	NOUN
bracis-28355	128	7	h	h	PRON
bracis-28355	128	8	to	to	PART
bracis-28355	128	9	represent	represent	VERB
bracis-28355	128	10	the	the	DET
bracis-28355	128	11	number	number	NOUN
bracis-28355	128	12	of	of	ADP
bracis-28355	128	13	color	color	NOUN
bracis-28355	128	14	groups	group	NOUN
bracis-28355	128	15	,	,	PUNCT
bracis-28355	128	16	m	m	VERB
bracis-28355	128	17	to	to	PART
bracis-28355	128	18	indicate	indicate	VERB
bracis-28355	128	19	the	the	DET
bracis-28355	128	20	number	number	NOUN
bracis-28355	128	21	of	of	ADP
bracis-28355	128	22	elements	element	NOUN
bracis-28355	128	23	in	in	ADP
bracis-28355	128	24	\(\mathcal	\(\mathcal	ADJ
bracis-28355	128	25	{	{	PUNCT
bracis-28355	128	26	u}\	u}\	PROPN
bracis-28355	128	27	)	)	PUNCT
bracis-28355	128	28	,	,	PUNCT
bracis-28355	128	29	k	k	PROPN
bracis-28355	128	30	to	to	PART
bracis-28355	128	31	indicate	indicate	VERB
bracis-28355	128	32	the	the	DET
bracis-28355	128	33	number	number	NOUN
bracis-28355	128	34	of	of	ADP
bracis-28355	128	35	subsets	subset	NOUN
bracis-28355	128	36	to	to	PART
bracis-28355	128	37	be	be	AUX
bracis-28355	128	38	selected	select	VERB
bracis-28355	128	39	,	,	PUNCT
bracis-28355	128	40	n	n	CCONJ
bracis-28355	128	41	to	to	PART
bracis-28355	128	42	define	define	VERB
bracis-28355	128	43	total	total	ADJ
bracis-28355	128	44	number	number	NOUN
bracis-28355	128	45	of	of	ADP
bracis-28355	128	46	subsets	subset	NOUN
bracis-28355	128	47	,	,	PUNCT
bracis-28355	128	48	and	and	CCONJ
bracis-28355	128	49	\(\chi	\(\chi	VERB
bracis-28355	128	50	\	\	NOUN
bracis-28355	128	51	)	)	PUNCT
bracis-28355	128	52	to	to	PART
bracis-28355	128	53	specify	specify	VERB
bracis-28355	128	54	the	the	DET
bracis-28355	128	55	total	total	ADJ
bracis-28355	128	56	number	number	NOUN
bracis-28355	128	57	of	of	ADP
bracis-28355	128	58	colors	color	NOUN
bracis-28355	128	59	used	use	VERB
bracis-28355	128	60	in	in	ADP
bracis-28355	128	61	the	the	DET
bracis-28355	128	62	instance	instance	NOUN
bracis-28355	128	63	.	.	PUNCT
bracis-28355	129	1	we	we	PRON
bracis-28355	129	2	also	also	ADV
bracis-28355	129	3	define	define	VERB
bracis-28355	129	4	subsets	subset	NOUN
bracis-28355	129	5	\(c_c\	\(c_c\	ADJ
bracis-28355	129	6	)	)	PUNCT
bracis-28355	129	7	,	,	PUNCT
bracis-28355	129	8	which	which	PRON
bracis-28355	129	9	are	be	AUX
bracis-28355	129	10	the	the	DET
bracis-28355	129	11	subsets	subset	NOUN
bracis-28355	129	12	of	of	ADP
bracis-28355	129	13	the	the	DET
bracis-28355	129	14	elements	element	NOUN
bracis-28355	129	15	\(u_{j}\	\(u_{j}\	ADV
bracis-28355	129	16	)	)	PUNCT
bracis-28355	129	17	that	that	PRON
bracis-28355	129	18	are	be	AUX
bracis-28355	129	19	colored	color	VERB
bracis-28355	129	20	with	with	ADP
bracis-28355	129	21	the	the	DET
bracis-28355	129	22	color	color	NOUN
bracis-28355	129	23	c.	c.	NOUN
bracis-28355	129	24	considering	consider	VERB
bracis-28355	129	25	the	the	DET
bracis-28355	129	26	concept	concept	NOUN
bracis-28355	129	27	of	of	ADP
bracis-28355	129	28	fairness	fairness	NOUN
bracis-28355	129	29	as	as	ADP
bracis-28355	129	30	the	the	DET
bracis-28355	129	31	equality	equality	NOUN
bracis-28355	129	32	among	among	ADP
bracis-28355	129	33	the	the	DET
bracis-28355	129	34	classes	class	NOUN
bracis-28355	129	35	in	in	ADP
bracis-28355	129	36	the	the	DET
bracis-28355	129	37	cover	cover	NOUN
bracis-28355	129	38	and	and	CCONJ
bracis-28355	129	39	the	the	DET
bracis-28355	129	40	objective	objective	NOUN
bracis-28355	129	41	of	of	ADP
bracis-28355	129	42	the	the	DET
bracis-28355	129	43	mafc	mafc	NOUN
bracis-28355	129	44	as	as	SCONJ
bracis-28355	129	45	it	it	PRON
bracis-28355	129	46	is	be	AUX
bracis-28355	129	47	stated	state	VERB
bracis-28355	129	48	in	in	ADP
bracis-28355	129	49	definition	definition	NOUN
bracis-28355	129	50	 	 	SPACE
bracis-28355	129	51	2.2	2.2	NUM
bracis-28355	129	52	,	,	PUNCT
bracis-28355	129	53	we	we	PRON
bracis-28355	129	54	can	can	AUX
bracis-28355	129	55	consider	consider	VERB
bracis-28355	129	56	the	the	DET
bracis-28355	129	57	task	task	NOUN
bracis-28355	129	58	of	of	ADP
bracis-28355	129	59	finding	find	VERB
bracis-28355	129	60	a	a	DET
bracis-28355	129	61	k	k	NOUN
bracis-28355	129	62	-	-	NOUN
bracis-28355	129	63	cover	cover	NOUN
bracis-28355	129	64	that	that	PRON
bracis-28355	129	65	is	be	AUX
bracis-28355	129	66	as	as	ADV
bracis-28355	129	67	fair	fair	ADJ
bracis-28355	129	68	as	as	ADP
bracis-28355	129	69	possible	possible	ADJ
bracis-28355	129	70	as	as	ADP
bracis-28355	129	71	the	the	DET
bracis-28355	129	72	minimization	minimization	NOUN
bracis-28355	129	73	of	of	ADP
bracis-28355	129	74	the	the	DET
bracis-28355	129	75	differences	difference	NOUN
bracis-28355	129	76	among	among	ADP
bracis-28355	129	77	the	the	DET
bracis-28355	129	78	number	number	NOUN
bracis-28355	129	79	of	of	ADP
bracis-28355	129	80	covered	cover	VERB
bracis-28355	129	81	elements	element	NOUN
bracis-28355	129	82	in	in	ADP
bracis-28355	129	83	each	each	DET
bracis-28355	129	84	class	class	NOUN
bracis-28355	129	85	.	.	PUNCT
bracis-28355	130	1	dantas	dantas	PROPN
bracis-28355	130	2	 	 	SPACE
bracis-28355	130	3	et	et	PROPN
bracis-28355	130	4	al	al	PROPN
bracis-28355	130	5	.	.	PUNCT
bracis-28355	130	6	 	 	SPACE
bracis-28355	131	1	[	[	X
bracis-28355	131	2	3	3	X
bracis-28355	131	3	]	]	PUNCT
bracis-28355	131	4	modeled	model	VERB
bracis-28355	131	5	this	this	PRON
bracis-28355	131	6	directly	directly	ADV
bracis-28355	131	7	in	in	ADP
bracis-28355	131	8	the	the	DET
bracis-28355	131	9	objective	objective	ADJ
bracis-28355	131	10	function	function	NOUN
bracis-28355	131	11	as	as	ADP
bracis-28355	131	12	the	the	DET
bracis-28355	131	13	minimization	minimization	NOUN
bracis-28355	131	14	of	of	ADP
bracis-28355	131	15	the	the	DET
bracis-28355	131	16	difference	difference	NOUN
bracis-28355	131	17	in	in	ADP
bracis-28355	131	18	the	the	DET
bracis-28355	131	19	number	number	NOUN
bracis-28355	131	20	of	of	ADP
bracis-28355	131	21	color	color	NOUN
bracis-28355	131	22	of	of	ADP
bracis-28355	131	23	each	each	DET
bracis-28355	131	24	pair	pair	NOUN
bracis-28355	131	25	of	of	ADP
bracis-28355	131	26	colors	color	NOUN
bracis-28355	131	27	.	.	PUNCT
bracis-28355	132	1	this	this	DET
bracis-28355	132	2	approach	approach	NOUN
bracis-28355	132	3	might	might	AUX
bracis-28355	132	4	not	not	PART
bracis-28355	132	5	be	be	AUX
bracis-28355	132	6	viable	viable	ADJ
bracis-28355	132	7	when	when	SCONJ
bracis-28355	132	8	the	the	DET
bracis-28355	132	9	number	number	NOUN
bracis-28355	132	10	of	of	ADP
bracis-28355	132	11	color	color	NOUN
bracis-28355	132	12	increases	increase	NOUN
bracis-28355	132	13	,	,	PUNCT
bracis-28355	132	14	if	if	SCONJ
bracis-28355	132	15	we	we	PRON
bracis-28355	132	16	have	have	VERB
bracis-28355	132	17	for	for	ADP
bracis-28355	132	18	example	example	NOUN
bracis-28355	132	19	100	100	NUM
bracis-28355	132	20	colors	color	NOUN
bracis-28355	132	21	it	it	PRON
bracis-28355	132	22	would	would	AUX
bracis-28355	132	23	be	be	AUX
bracis-28355	132	24	necessary	necessary	ADJ
bracis-28355	132	25	to	to	PART
bracis-28355	132	26	minimize	minimize	VERB
bracis-28355	132	27	the	the	DET
bracis-28355	132	28	sum	sum	NOUN
bracis-28355	132	29	of	of	ADP
bracis-28355	132	30	\(\frac{100\times	\(\frac{100\time	NOUN
bracis-28355	132	31	99}{2	99}{2	NUM
bracis-28355	132	32	}	}	PUNCT
bracis-28355	132	33	=	=	SYM
bracis-28355	132	34	4950\	4950\	NUM
bracis-28355	132	35	)	)	PUNCT
bracis-28355	132	36	pairs	pair	NOUN
bracis-28355	132	37	of	of	ADP
bracis-28355	132	38	colors	color	NOUN
bracis-28355	132	39	.	.	PUNCT
bracis-28355	133	1	therefore	therefore	ADV
bracis-28355	133	2	,	,	PUNCT
bracis-28355	133	3	we	we	PRON
bracis-28355	133	4	choose	choose	VERB
bracis-28355	133	5	to	to	PART
bracis-28355	133	6	minimize	minimize	VERB
bracis-28355	133	7	the	the	DET
bracis-28355	133	8	difference	difference	NOUN
bracis-28355	133	9	in	in	ADP
bracis-28355	133	10	the	the	DET
bracis-28355	133	11	number	number	NOUN
bracis-28355	133	12	covered	cover	VERB
bracis-28355	133	13	elements	element	NOUN
bracis-28355	133	14	for	for	ADP
bracis-28355	133	15	a	a	DET
bracis-28355	133	16	given	give	VERB
bracis-28355	133	17	color	color	NOUN
bracis-28355	133	18	c	c	NOUN
bracis-28355	133	19	to	to	ADP
bracis-28355	133	20	its	its	PRON
bracis-28355	133	21	ideal	ideal	ADJ
bracis-28355	133	22	value	value	NOUN
bracis-28355	133	23	\(i_c\	\(i_c\	NUM
bracis-28355	133	24	)	)	PUNCT
bracis-28355	133	25	.	.	PUNCT
bracis-28355	134	1	the	the	DET
bracis-28355	134	2	ideal	ideal	ADJ
bracis-28355	134	3	value	value	NOUN
bracis-28355	134	4	\(i_c\	\(i_c\	NOUN
bracis-28355	134	5	)	)	PUNCT
bracis-28355	134	6	can	can	AUX
bracis-28355	134	7	be	be	AUX
bracis-28355	134	8	easily	easily	ADV
bracis-28355	134	9	estimated	estimate	VERB
bracis-28355	134	10	,	,	PUNCT
bracis-28355	134	11	since	since	SCONJ
bracis-28355	134	12	we	we	PRON
bracis-28355	134	13	know	know	VERB
bracis-28355	134	14	the	the	DET
bracis-28355	134	15	number	number	NOUN
bracis-28355	134	16	of	of	ADP
bracis-28355	134	17	colors	color	NOUN
bracis-28355	134	18	in	in	ADP
bracis-28355	134	19	each	each	DET
bracis-28355	134	20	group	group	NOUN
bracis-28355	134	21	of	of	ADP
bracis-28355	134	22	colors	color	NOUN
bracis-28355	134	23	and	and	CCONJ
bracis-28355	134	24	the	the	DET
bracis-28355	134	25	number	number	NOUN
bracis-28355	134	26	of	of	ADP
bracis-28355	134	27	selected	select	VERB
bracis-28355	134	28	subsets	subset	NOUN
bracis-28355	134	29	.	.	PUNCT
bracis-28355	135	1	in	in	ADP
bracis-28355	135	2	the	the	DET
bracis-28355	135	3	case	case	NOUN
bracis-28355	135	4	of	of	ADP
bracis-28355	135	5	a	a	DET
bracis-28355	135	6	tabular	tabular	NOUN
bracis-28355	135	7	dataset	dataset	NOUN
bracis-28355	135	8	we	we	PRON
bracis-28355	135	9	can	can	AUX
bracis-28355	135	10	find	find	VERB
bracis-28355	135	11	the	the	DET
bracis-28355	135	12	exact	exact	ADJ
bracis-28355	135	13	number	number	NOUN
bracis-28355	135	14	\(i_c\	\(i_c\	NUM
bracis-28355	135	15	)	)	PUNCT
bracis-28355	135	16	by	by	ADP
bracis-28355	135	17	simply	simply	ADV
bracis-28355	135	18	dividing	divide	VERB
bracis-28355	135	19	k	k	PROPN
bracis-28355	135	20	by	by	ADP
bracis-28355	135	21	the	the	DET
bracis-28355	135	22	number	number	NOUN
bracis-28355	135	23	of	of	ADP
bracis-28355	135	24	colors	color	NOUN
bracis-28355	135	25	in	in	ADP
bracis-28355	135	26	the	the	DET
bracis-28355	135	27	group	group	NOUN
bracis-28355	135	28	\(g_a\	\(g_a\	NOUN
bracis-28355	135	29	)	)	PUNCT
bracis-28355	135	30	to	to	PART
bracis-28355	135	31	which	which	PRON
bracis-28355	135	32	c	c	NOUN
bracis-28355	135	33	belongs	belong	VERB
bracis-28355	135	34	.	.	PUNCT
bracis-28355	136	1	going	go	VERB
bracis-28355	136	2	back	back	ADV
bracis-28355	136	3	to	to	ADP
bracis-28355	136	4	the	the	DET
bracis-28355	136	5	example	example	NOUN
bracis-28355	136	6	given	give	VERB
bracis-28355	136	7	in	in	ADP
bracis-28355	136	8	sect	sect	NOUN
bracis-28355	136	9	.	.	PUNCT
bracis-28355	136	10	 	 	SPACE
bracis-28355	137	1	2	2	NUM
bracis-28355	137	2	,	,	PUNCT
bracis-28355	137	3	the	the	DET
bracis-28355	137	4	ideal	ideal	ADJ
bracis-28355	137	5	number	number	NOUN
bracis-28355	137	6	of	of	ADP
bracis-28355	137	7	elements	element	NOUN
bracis-28355	137	8	covered	cover	VERB
bracis-28355	137	9	representing	represent	VERB
bracis-28355	137	10	the	the	DET
bracis-28355	137	11	attribute	attribute	NOUN
bracis-28355	137	12	blue	blue	NOUN
bracis-28355	137	13	is	be	AUX
bracis-28355	137	14	\(\frac{k}{2}\	\(\frac{k}{2}\	NOUN
bracis-28355	137	15	)	)	PUNCT
bracis-28355	137	16	,	,	PUNCT
bracis-28355	137	17	since	since	SCONJ
bracis-28355	137	18	the	the	DET
bracis-28355	137	19	class	class	NOUN
bracis-28355	137	20	in	in	ADP
bracis-28355	137	21	which	which	PRON
bracis-28355	137	22	blue	blue	NOUN
bracis-28355	137	23	is	be	AUX
bracis-28355	137	24	contained	contain	VERB
bracis-28355	137	25	has	have	VERB
bracis-28355	137	26	size	size	NOUN
bracis-28355	137	27	two	two	NUM
bracis-28355	137	28	.	.	PUNCT
bracis-28355	138	1	with	with	ADP
bracis-28355	138	2	these	these	DET
bracis-28355	138	3	definitions	definition	NOUN
bracis-28355	138	4	,	,	PUNCT
bracis-28355	138	5	the	the	DET
bracis-28355	138	6	ilp	ilp	ADJ
bracis-28355	138	7	model	model	NOUN
bracis-28355	138	8	reads	read	VERB
bracis-28355	138	9	:	:	PUNCT
bracis-28355	138	10	$	$	SYM
bracis-28355	138	11	$	$	SYM
bracis-28355	138	12	\begin{aligned	\begin{aligne	VERB
bracis-28355	138	13	}	}	PUNCT
bracis-28355	138	14	&	&	CCONJ
bracis-28355	138	15	\min	\min	PROPN
bracis-28355	138	16	\quad	\quad	PROPN
bracis-28355	138	17	\displaystyle	\displaystyle	PROPN
bracis-28355	138	18	\sum	\sum	PROPN
bracis-28355	138	19	_	_	PUNCT
bracis-28355	138	20	{	{	PUNCT
bracis-28355	138	21	c\in	c\in	PROPN
bracis-28355	138	22	g_1	g_1	PROPN
bracis-28355	138	23	}	}	PUNCT
bracis-28355	138	24	q_c	q_c	PUNCT
bracis-28355	139	1	+	+	NUM
bracis-28355	139	2	\sum	\sum	NOUN
bracis-28355	139	3	_	_	PUNCT
bracis-28355	139	4	{	{	PUNCT
bracis-28355	139	5	c\in	c\in	PROPN
bracis-28355	139	6	g_2	g_2	PROPN
bracis-28355	139	7	}	}	PUNCT
bracis-28355	139	8	q_c	q_c	PUNCT
bracis-28355	140	1	+	+	NUM
bracis-28355	140	2	\dots	\dot	NOUN
bracis-28355	140	3	+	+	CCONJ
bracis-28355	140	4	\sum	\sum	NOUN
bracis-28355	140	5	_	_	PUNCT
bracis-28355	140	6	{	{	PUNCT
bracis-28355	140	7	c\in	c\in	PROPN
bracis-28355	140	8	g_h	g_h	PROPN
bracis-28355	140	9	}	}	PUNCT
bracis-28355	140	10	q_c	q_c	NUM
bracis-28355	140	11	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28355	140	12	(	(	PUNCT
bracis-28355	140	13	1a	1a	NUM
bracis-28355	140	14	)	)	PUNCT
bracis-28355	140	15	$	$	SYM
bracis-28355	140	16	$	$	SYM
bracis-28355	140	17	\begin{aligned	\begin{aligne	VERB
bracis-28355	140	18	}	}	PUNCT
bracis-28355	140	19	&	&	CCONJ
bracis-28355	140	20	\text	\text	PROPN
bracis-28355	140	21	{	{	PUNCT
bracis-28355	140	22	s.	s.	PROPN
bracis-28355	140	23	t.	t.	PROPN
bracis-28355	140	24	}	}	PUNCT
bracis-28355	140	25	\qquad	\qquad	PROPN
bracis-28355	140	26	x_j	x_j	PUNCT
bracis-28355	140	27	\le	\le	PROPN
bracis-28355	140	28	\sum	\sum	NOUN
bracis-28355	140	29	_	_	PUNCT
bracis-28355	140	30	{	{	PUNCT
bracis-28355	140	31	\ell	\ell	PROPN
bracis-28355	140	32	~|~u_j	~|~u_j	PUNCT
bracis-28355	140	33	\in	\in	PROPN
bracis-28355	140	34	\mathcal	\mathcal	PROPN
bracis-28355	140	35	{	{	PUNCT
bracis-28355	140	36	s}_{\ell	s}_{\ell	ADJ
bracis-28355	140	37	}	}	PUNCT
bracis-28355	140	38	}	}	PUNCT
bracis-28355	140	39	y_\ell	y_\ell	NOUN
bracis-28355	140	40	~~	~~	PUNCT
bracis-28355	140	41	\forall	\forall	PROPN
bracis-28355	140	42	\	\	PROPN
bracis-28355	140	43	,	,	PUNCT
bracis-28355	140	44	j	j	PROPN
bracis-28355	140	45	\in	\in	PROPN
bracis-28355	140	46	\{1	\{1	PROPN
bracis-28355	140	47	,	,	PUNCT
bracis-28355	140	48	2	2	NUM
bracis-28355	140	49	,	,	PUNCT
bracis-28355	140	50	\dots	\dot	NOUN
bracis-28355	140	51	,	,	PUNCT
bracis-28355	140	52	m\	m\	ADJ
bracis-28355	140	53	}	}	PUNCT
bracis-28355	140	54	\end{aligned}$$	\end{aligned}$$	X
bracis-28355	140	55	(	(	PUNCT
bracis-28355	140	56	1b	1b	NUM
bracis-28355	140	57	)	)	PUNCT
bracis-28355	140	58	$	$	SYM
bracis-28355	140	59	$	$	SYM
bracis-28355	140	60	\begin{aligned	\begin{aligne	VERB
bracis-28355	140	61	}	}	PUNCT
bracis-28355	140	62	&	&	CCONJ
bracis-28355	140	63	y_\ell	y_\ell	PROPN
bracis-28355	140	64	\le	\le	PROPN
bracis-28355	140	65	x_j	x_j	PUNCT
bracis-28355	141	1	\qquad	\qquad	VERB
bracis-28355	141	2	\forall	\forall	DET
bracis-28355	141	3	\	\	PROPN
bracis-28355	141	4	,	,	PUNCT
bracis-28355	141	5	u_j	u_j	SYM
bracis-28355	141	6	\in	\in	PROPN
bracis-28355	141	7	\mathcal	\mathcal	PROPN
bracis-28355	141	8	{	{	PUNCT
bracis-28355	141	9	s}_{\ell	s}_{\ell	PROPN
bracis-28355	141	10	}	}	PUNCT
bracis-28355	141	11	,	,	PUNCT
bracis-28355	141	12	\forall	\forall	DET
bracis-28355	141	13	\	\	PROPN
bracis-28355	141	14	,	,	PUNCT
bracis-28355	141	15	\mathcal	\mathcal	PROPN
bracis-28355	141	16	{	{	PUNCT
bracis-28355	141	17	s}_{\ell	s}_{\ell	ADJ
bracis-28355	141	18	}	}	PUNCT
bracis-28355	141	19	\in	\in	PROPN
bracis-28355	141	20	~\mathcal	~\mathcal	ADJ
bracis-28355	141	21	{	{	PUNCT
bracis-28355	141	22	s	s	NOUN
bracis-28355	141	23	}	}	PUNCT
bracis-28355	141	24	\end{aligned}$$	\end{aligned}$$	X
bracis-28355	141	25	(	(	PUNCT
bracis-28355	141	26	1c	1c	X
bracis-28355	141	27	)	)	PUNCT
bracis-28355	141	28	$	$	SYM
bracis-28355	141	29	$	$	SYM
bracis-28355	141	30	\begin{aligned	\begin{aligne	VERB
bracis-28355	141	31	}	}	PUNCT
bracis-28355	141	32	&	&	CCONJ
bracis-28355	141	33	\sum	\sum	NOUN
bracis-28355	141	34	_	_	PROPN
bracis-28355	141	35	{	{	PUNCT
bracis-28355	141	36	\ell	\ell	PROPN
bracis-28355	141	37	=	=	SYM
bracis-28355	142	1	1}^{n	1}^{n	NUM
bracis-28355	142	2	}	}	PUNCT
bracis-28355	142	3	y_\ell	y_\ell	NOUN
bracis-28355	143	1	=	=	PUNCT
bracis-28355	143	2	k	k	X
bracis-28355	143	3	\end{aligned}$$	\end{aligned}$$	X
bracis-28355	143	4	(	(	PUNCT
bracis-28355	143	5	1d	1d	NUM
bracis-28355	143	6	)	)	PUNCT
bracis-28355	143	7	$	$	SYM
bracis-28355	143	8	$	$	SYM
bracis-28355	143	9	\begin{aligned	\begin{aligne	VERB
bracis-28355	143	10	}	}	PUNCT
bracis-28355	143	11	&	&	CCONJ
bracis-28355	143	12	\sum	\sum	NOUN
bracis-28355	143	13	_	_	PUNCT
bracis-28355	143	14	{	{	PUNCT
bracis-28355	143	15	u_j	u_j	PUNCT
bracis-28355	143	16	\in	\in	PROPN
bracis-28355	143	17	c_c	c_c	NOUN
bracis-28355	143	18	}	}	PUNCT
bracis-28355	143	19	x_j	x_j	PUNCT
bracis-28355	143	20	i_c	i_c	PROPN
bracis-28355	143	21	\le	\le	PROPN
bracis-28355	143	22	q_{c	q_{c	PROPN
bracis-28355	143	23	}	}	PUNCT
bracis-28355	143	24	\qquad	\qquad	NOUN
bracis-28355	143	25	\forall	\forall	DET
bracis-28355	143	26	\	\	PROPN
bracis-28355	143	27	,	,	PUNCT
bracis-28355	143	28	c	c	PROPN
bracis-28355	143	29	\in	\in	PROPN
bracis-28355	143	30	\mathcal	\mathcal	PROPN
bracis-28355	143	31	{	{	PUNCT
bracis-28355	143	32	c	c	NOUN
bracis-28355	143	33	}	}	PUNCT
bracis-28355	143	34	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28355	143	35	(	(	PUNCT
bracis-28355	143	36	1e	1e	NOUN
bracis-28355	143	37	)	)	PUNCT
bracis-28355	143	38	$	$	SYM
bracis-28355	143	39	$	$	SYM
bracis-28355	143	40	\begin{aligned	\begin{aligne	VERB
bracis-28355	143	41	}	}	PUNCT
bracis-28355	143	42	&	&	CCONJ
bracis-28355	144	1	i_c	i_c	PROPN
bracis-28355	144	2	\sum	\sum	NOUN
bracis-28355	144	3	_	_	PUNCT
bracis-28355	144	4	{	{	PUNCT
bracis-28355	144	5	u_j	u_j	PUNCT
bracis-28355	144	6	\in	\in	PROPN
bracis-28355	144	7	c_c	c_c	NOUN
bracis-28355	144	8	}	}	PUNCT
bracis-28355	144	9	x_j	x_j	PUNCT
bracis-28355	144	10	\le	\le	PROPN
bracis-28355	144	11	q_{c	q_{c	PROPN
bracis-28355	144	12	}	}	PUNCT
bracis-28355	144	13	\qquad	\qquad	NOUN
bracis-28355	144	14	\forall	\forall	DET
bracis-28355	144	15	\	\	PROPN
bracis-28355	144	16	,	,	PUNCT
bracis-28355	144	17	c	c	PROPN
bracis-28355	144	18	\in	\in	PROPN
bracis-28355	144	19	\mathcal	\mathcal	PROPN
bracis-28355	144	20	{	{	PUNCT
bracis-28355	144	21	c	c	NOUN
bracis-28355	144	22	}	}	PUNCT
bracis-28355	144	23	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28355	144	24	(	(	PUNCT
bracis-28355	144	25	1f	1f	NUM
bracis-28355	144	26	)	)	PUNCT
bracis-28355	144	27	$	$	SYM
bracis-28355	144	28	$	$	SYM
bracis-28355	144	29	\begin{aligned	\begin{aligne	VERB
bracis-28355	144	30	}	}	PUNCT
bracis-28355	144	31	&	&	CCONJ
bracis-28355	144	32	x	x	SYM
bracis-28355	144	33	\in	\in	PROPN
bracis-28355	144	34	\mathbb	\mathbb	PROPN
bracis-28355	144	35	{	{	PUNCT
bracis-28355	144	36	b}^{m	b}^{m	NOUN
bracis-28355	144	37	}	}	PUNCT
bracis-28355	144	38	,	,	PUNCT
bracis-28355	144	39	~y	~y	NUM
bracis-28355	144	40	\in	\in	PROPN
bracis-28355	144	41	\mathbb	\mathbb	PROPN
bracis-28355	144	42	{	{	PUNCT
bracis-28355	144	43	b}^{n},~q	b}^{n},~q	NOUN
bracis-28355	144	44	\in	\in	PROPN
bracis-28355	144	45	\mathbb	\mathbb	PROPN
bracis-28355	144	46	{	{	PUNCT
bracis-28355	144	47	z}_+^{\chi	z}_+^{\chi	ADV
bracis-28355	144	48	}	}	PUNCT
bracis-28355	144	49	\end{aligned}$$	\end{aligned}$$	X
bracis-28355	144	50	(	(	PUNCT
bracis-28355	144	51	1	1	NUM
bracis-28355	144	52	g	g	NOUN
bracis-28355	144	53	)	)	PUNCT
bracis-28355	144	54	the	the	DET
bracis-28355	144	55	objective	objective	ADJ
bracis-28355	144	56	function	function	NOUN
bracis-28355	144	57	that	that	PRON
bracis-28355	144	58	reflects	reflect	VERB
bracis-28355	144	59	this	this	DET
bracis-28355	144	60	modeling	modeling	NOUN
bracis-28355	144	61	decision	decision	NOUN
bracis-28355	144	62	is	be	AUX
bracis-28355	144	63	given	give	VERB
bracis-28355	144	64	in	in	ADP
bracis-28355	144	65	eq	eq	ADP
bracis-28355	144	66	.	.	PROPN
bracis-28355	144	67	 	 	SPACE
bracis-28355	144	68	(	(	PUNCT
bracis-28355	144	69	1a	1a	NUM
bracis-28355	144	70	)	)	PUNCT
bracis-28355	144	71	.	.	PUNCT
bracis-28355	145	1	the	the	DET
bracis-28355	145	2	remaining	remain	VERB
bracis-28355	145	3	equations	equation	NOUN
bracis-28355	145	4	describe	describe	VERB
bracis-28355	145	5	the	the	DET
bracis-28355	145	6	restrictions	restriction	NOUN
bracis-28355	145	7	of	of	ADP
bracis-28355	145	8	the	the	DET
bracis-28355	145	9	model	model	NOUN
bracis-28355	145	10	,	,	PUNCT
bracis-28355	145	11	through	through	ADP
bracis-28355	145	12	which	which	PRON
bracis-28355	145	13	we	we	PRON
bracis-28355	145	14	specify	specify	VERB
bracis-28355	145	15	the	the	DET
bracis-28355	145	16	characteristics	characteristic	NOUN
bracis-28355	145	17	of	of	ADP
bracis-28355	145	18	a	a	DET
bracis-28355	145	19	solution	solution	NOUN
bracis-28355	145	20	.	.	PUNCT
bracis-28355	146	1	equation	equation	NOUN
bracis-28355	146	2	 	 	SPACE
bracis-28355	146	3	(	(	PUNCT
bracis-28355	146	4	1b	1b	NUM
bracis-28355	146	5	)	)	PUNCT
bracis-28355	146	6	indicates	indicate	VERB
bracis-28355	146	7	that	that	SCONJ
bracis-28355	146	8	an	an	DET
bracis-28355	146	9	element	element	NOUN
bracis-28355	146	10	\(u_{j}\	\(u_{j}\	NOUN
bracis-28355	146	11	)	)	PUNCT
bracis-28355	146	12	can	can	AUX
bracis-28355	146	13	only	only	ADV
bracis-28355	146	14	be	be	AUX
bracis-28355	146	15	considered	consider	VERB
bracis-28355	146	16	covered	covered	ADJ
bracis-28355	146	17	(	(	PUNCT
bracis-28355	146	18	\(x_j	\(x_j	NOUN
bracis-28355	146	19	=	=	SYM
bracis-28355	146	20	1\	1\	NUM
bracis-28355	146	21	)	)	PUNCT
bracis-28355	146	22	)	)	PUNCT
bracis-28355	146	23	,	,	PUNCT
bracis-28355	146	24	if	if	SCONJ
bracis-28355	146	25	there	there	PRON
bracis-28355	146	26	is	be	VERB
bracis-28355	146	27	at	at	ADV
bracis-28355	146	28	least	least	ADJ
bracis-28355	146	29	one	one	NUM
bracis-28355	146	30	subset	subset	NOUN
bracis-28355	146	31	\(\mathcal	\(\mathcal	ADJ
bracis-28355	146	32	{	{	PUNCT
bracis-28355	146	33	s}_{\ell	s}_{\ell	ADJ
bracis-28355	146	34	}	}	PUNCT
bracis-28355	146	35	\	\	NOUN
bracis-28355	146	36	)	)	PUNCT
bracis-28355	146	37	such	such	ADJ
bracis-28355	146	38	that	that	SCONJ
bracis-28355	146	39	\(u_{j	\(u_{j	PROPN
bracis-28355	146	40	}	}	SYM
bracis-28355	146	41	\in	\in	PROPN
bracis-28355	146	42	\mathcal	\mathcal	PROPN
bracis-28355	146	43	{	{	PUNCT
bracis-28355	146	44	s}_{\ell	s}_{\ell	ADJ
bracis-28355	146	45	}	}	PUNCT
bracis-28355	146	46	\	\	NOUN
bracis-28355	146	47	)	)	PUNCT
bracis-28355	146	48	and	and	CCONJ
bracis-28355	146	49	this	this	DET
bracis-28355	146	50	subset	subset	NOUN
bracis-28355	146	51	is	be	AUX
bracis-28355	146	52	selected	select	VERB
bracis-28355	146	53	to	to	PART
bracis-28355	146	54	be	be	AUX
bracis-28355	146	55	in	in	ADP
bracis-28355	146	56	the	the	DET
bracis-28355	146	57	cover	cover	NOUN
bracis-28355	146	58	(	(	PUNCT
bracis-28355	146	59	i.e.	i.e.	X
bracis-28355	146	60	,	,	PUNCT
bracis-28355	146	61	\(y_\ell	\(y_\ell	PUNCT
bracis-28355	146	62	=	=	SYM
bracis-28355	146	63	1\	1\	NUM
bracis-28355	146	64	)	)	PUNCT
bracis-28355	146	65	)	)	PUNCT
bracis-28355	146	66	.	.	PUNCT
bracis-28355	147	1	equation	equation	NOUN
bracis-28355	147	2	 	 	SPACE
bracis-28355	147	3	(	(	PUNCT
bracis-28355	147	4	1c	1c	X
bracis-28355	147	5	)	)	PUNCT
bracis-28355	147	6	specifies	specifie	NOUN
bracis-28355	147	7	that	that	SCONJ
bracis-28355	147	8	if	if	SCONJ
bracis-28355	147	9	a	a	DET
bracis-28355	147	10	subset	subset	NOUN
bracis-28355	147	11	\(\mathcal	\(\mathcal	ADJ
bracis-28355	147	12	{	{	PUNCT
bracis-28355	147	13	s}_{\ell	s}_{\ell	ADJ
bracis-28355	147	14	}	}	PUNCT
bracis-28355	147	15	\	\	NOUN
bracis-28355	147	16	)	)	PUNCT
bracis-28355	147	17	is	be	AUX
bracis-28355	147	18	selected	select	VERB
bracis-28355	147	19	to	to	PART
bracis-28355	147	20	be	be	AUX
bracis-28355	147	21	in	in	ADP
bracis-28355	147	22	the	the	DET
bracis-28355	147	23	cover	cover	NOUN
bracis-28355	147	24	(	(	PUNCT
bracis-28355	147	25	\(y_\ell	\(y_\ell	NUM
bracis-28355	147	26	=	=	SYM
bracis-28355	147	27	1\	1\	NUM
bracis-28355	147	28	)	)	PUNCT
bracis-28355	147	29	)	)	PUNCT
bracis-28355	147	30	,	,	PUNCT
bracis-28355	147	31	then	then	ADV
bracis-28355	147	32	every	every	DET
bracis-28355	147	33	element	element	NOUN
bracis-28355	147	34	\(u_{j}\	\(u_{j}\	PROPN
bracis-28355	147	35	)	)	PUNCT
bracis-28355	147	36	of	of	ADP
bracis-28355	147	37	\(u_{\ell	\(u_{\ell	PROPN
bracis-28355	147	38	}	}	PUNCT
bracis-28355	147	39	\	\	NOUN
bracis-28355	147	40	)	)	PUNCT
bracis-28355	147	41	is	be	AUX
bracis-28355	147	42	considered	consider	VERB
bracis-28355	147	43	to	to	PART
bracis-28355	147	44	be	be	AUX
bracis-28355	147	45	covered	cover	VERB
bracis-28355	147	46	,	,	PUNCT
bracis-28355	147	47	along	along	ADP
bracis-28355	147	48	with	with	ADP
bracis-28355	147	49	the	the	DET
bracis-28355	147	50	previous	previous	ADJ
bracis-28355	147	51	set	set	NOUN
bracis-28355	147	52	of	of	ADP
bracis-28355	147	53	restrictions	restriction	NOUN
bracis-28355	147	54	we	we	PRON
bracis-28355	147	55	guarantee	guarantee	VERB
bracis-28355	147	56	the	the	DET
bracis-28355	147	57	basic	basic	ADJ
bracis-28355	147	58	characteristics	characteristic	NOUN
bracis-28355	147	59	of	of	ADP
bracis-28355	147	60	a	a	DET
bracis-28355	147	61	k	k	NOUN
bracis-28355	147	62	-	-	NOUN
bracis-28355	147	63	cover	cover	NOUN
bracis-28355	147	64	.	.	PUNCT
bracis-28355	148	1	equation	equation	NOUN
bracis-28355	148	2	 	 	SPACE
bracis-28355	148	3	(	(	PUNCT
bracis-28355	148	4	1d	1d	NUM
bracis-28355	148	5	)	)	PUNCT
bracis-28355	148	6	restricts	restrict	VERB
bracis-28355	148	7	that	that	SCONJ
bracis-28355	148	8	exactly	exactly	ADV
bracis-28355	148	9	k	k	PROPN
bracis-28355	148	10	subsets	subset	NOUN
bracis-28355	148	11	must	must	AUX
bracis-28355	148	12	be	be	AUX
bracis-28355	148	13	selected	select	VERB
bracis-28355	148	14	to	to	PART
bracis-28355	148	15	form	form	VERB
bracis-28355	148	16	a	a	DET
bracis-28355	148	17	k	k	NOUN
bracis-28355	148	18	-	-	NOUN
bracis-28355	148	19	cover	cover	NOUN
bracis-28355	148	20	.	.	PUNCT
bracis-28355	149	1	equations	equation	NOUN
bracis-28355	149	2	 	 	SPACE
bracis-28355	149	3	(	(	PUNCT
bracis-28355	149	4	1e	1e	NUM
bracis-28355	149	5	)	)	PUNCT
bracis-28355	149	6	and	and	CCONJ
bracis-28355	149	7	 	 	SPACE
bracis-28355	149	8	(	(	PUNCT
bracis-28355	149	9	1f	1f	NUM
bracis-28355	149	10	)	)	PUNCT
bracis-28355	149	11	are	be	AUX
bracis-28355	149	12	complementary	complementary	ADJ
bracis-28355	149	13	and	and	CCONJ
bracis-28355	149	14	together	together	ADV
bracis-28355	149	15	they	they	PRON
bracis-28355	149	16	are	be	AUX
bracis-28355	149	17	used	use	VERB
bracis-28355	149	18	to	to	PART
bracis-28355	149	19	define	define	VERB
bracis-28355	149	20	the	the	DET
bracis-28355	149	21	value	value	NOUN
bracis-28355	149	22	of	of	ADP
bracis-28355	149	23	the	the	DET
bracis-28355	149	24	decision	decision	NOUN
bracis-28355	149	25	variable	variable	NOUN
bracis-28355	149	26	\(q_c\	\(q_c\	ADJ
bracis-28355	149	27	)	)	PUNCT
bracis-28355	149	28	.	.	PUNCT
bracis-28355	150	1	note	note	VERB
bracis-28355	150	2	that	that	SCONJ
bracis-28355	150	3	the	the	DET
bracis-28355	150	4	sums	sum	NOUN
bracis-28355	150	5	of	of	ADP
bracis-28355	150	6	\(x_j\	\(x_j\	PROPN
bracis-28355	150	7	)	)	PUNCT
bracis-28355	150	8	are	be	AUX
bracis-28355	150	9	used	use	VERB
bracis-28355	150	10	to	to	PART
bracis-28355	150	11	indicate	indicate	VERB
bracis-28355	150	12	the	the	DET
bracis-28355	150	13	number	number	NOUN
bracis-28355	150	14	of	of	ADP
bracis-28355	150	15	covered	cover	VERB
bracis-28355	150	16	elements	element	NOUN
bracis-28355	150	17	with	with	ADP
bracis-28355	150	18	color	color	NOUN
bracis-28355	150	19	c.	c.	PROPN
bracis-28355	150	20	suppose	suppose	VERB
bracis-28355	150	21	that	that	SCONJ
bracis-28355	150	22	this	this	DET
bracis-28355	150	23	sum	sum	NOUN
bracis-28355	150	24	is	be	AUX
bracis-28355	150	25	smaller	small	ADJ
bracis-28355	150	26	than	than	ADP
bracis-28355	150	27	the	the	DET
bracis-28355	150	28	ideal	ideal	ADJ
bracis-28355	150	29	value	value	NOUN
bracis-28355	150	30	of	of	ADP
bracis-28355	150	31	\(i_c\	\(i_c\	NUM
bracis-28355	150	32	)	)	PUNCT
bracis-28355	150	33	.	.	PUNCT
bracis-28355	151	1	then	then	ADV
bracis-28355	151	2	,	,	PUNCT
bracis-28355	151	3	equation	equation	NOUN
bracis-28355	151	4	 	 	SPACE
bracis-28355	151	5	(	(	PUNCT
bracis-28355	151	6	1e	1e	NOUN
bracis-28355	151	7	)	)	PUNCT
bracis-28355	151	8	states	state	VERB
bracis-28355	151	9	that	that	SCONJ
bracis-28355	151	10	\(q_c\	\(q_c\	ADV
bracis-28355	151	11	)	)	PUNCT
bracis-28355	151	12	must	must	AUX
bracis-28355	151	13	be	be	AUX
bracis-28355	151	14	larger	large	ADJ
bracis-28355	151	15	than	than	ADP
bracis-28355	151	16	a	a	DET
bracis-28355	151	17	negative	negative	ADJ
bracis-28355	151	18	value	value	NOUN
bracis-28355	151	19	and	and	CCONJ
bracis-28355	151	20	,	,	PUNCT
bracis-28355	151	21	since	since	SCONJ
bracis-28355	151	22	\(q_c\	\(q_c\	X
bracis-28355	151	23	)	)	PUNCT
bracis-28355	151	24	must	must	AUX
bracis-28355	151	25	be	be	AUX
bracis-28355	151	26	positive	positive	ADJ
bracis-28355	151	27	,	,	PUNCT
bracis-28355	151	28	this	this	DET
bracis-28355	151	29	restriction	restriction	NOUN
bracis-28355	151	30	is	be	AUX
bracis-28355	151	31	satisfied	satisfied	ADJ
bracis-28355	151	32	by	by	ADP
bracis-28355	151	33	any	any	DET
bracis-28355	151	34	possible	possible	ADJ
bracis-28355	151	35	value	value	NOUN
bracis-28355	151	36	of	of	ADP
bracis-28355	151	37	\(q_c\	\(q_c\	ADJ
bracis-28355	151	38	)	)	PUNCT
bracis-28355	151	39	.	.	PUNCT
bracis-28355	152	1	now	now	ADV
bracis-28355	152	2	in	in	ADP
bracis-28355	152	3	the	the	DET
bracis-28355	152	4	same	same	ADJ
bracis-28355	152	5	scenario	scenario	NOUN
bracis-28355	152	6	,	,	PUNCT
bracis-28355	152	7	equation	equation	NOUN
bracis-28355	152	8	 	 	SPACE
bracis-28355	152	9	(	(	PUNCT
bracis-28355	152	10	1f	1f	NUM
bracis-28355	152	11	)	)	PUNCT
bracis-28355	152	12	establishes	establish	VERB
bracis-28355	152	13	that	that	SCONJ
bracis-28355	152	14	\(q_c\	\(q_c\	ADJ
bracis-28355	152	15	)	)	PUNCT
bracis-28355	152	16	must	must	AUX
bracis-28355	152	17	be	be	AUX
bracis-28355	152	18	larger	large	ADJ
bracis-28355	152	19	than	than	ADP
bracis-28355	152	20	a	a	DET
bracis-28355	152	21	positive	positive	ADJ
bracis-28355	152	22	value	value	NOUN
bracis-28355	152	23	.	.	PUNCT
bracis-28355	153	1	although	although	SCONJ
bracis-28355	153	2	there	there	PRON
bracis-28355	153	3	is	be	VERB
bracis-28355	153	4	no	no	DET
bracis-28355	153	5	positive	positive	ADJ
bracis-28355	153	6	upper	upper	ADJ
bracis-28355	153	7	bound	bind	VERB
bracis-28355	153	8	on	on	ADP
bracis-28355	153	9	the	the	DET
bracis-28355	153	10	variable	variable	NOUN
bracis-28355	153	11	\(q_c\	\(q_c\	NOUN
bracis-28355	153	12	)	)	PUNCT
bracis-28355	153	13	,	,	PUNCT
bracis-28355	153	14	we	we	PRON
bracis-28355	153	15	know	know	VERB
bracis-28355	153	16	that	that	SCONJ
bracis-28355	153	17	in	in	ADP
bracis-28355	153	18	an	an	DET
bracis-28355	153	19	optimal	optimal	ADJ
bracis-28355	153	20	solution	solution	NOUN
bracis-28355	153	21	this	this	DET
bracis-28355	153	22	value	value	NOUN
bracis-28355	153	23	will	will	AUX
bracis-28355	153	24	not	not	PART
bracis-28355	153	25	be	be	AUX
bracis-28355	153	26	greater	great	ADJ
bracis-28355	153	27	than	than	ADP
bracis-28355	153	28	the	the	DET
bracis-28355	153	29	value	value	NOUN
bracis-28355	153	30	of	of	ADP
bracis-28355	153	31	the	the	DET
bracis-28355	153	32	difference	difference	NOUN
bracis-28355	153	33	.	.	PUNCT
bracis-28355	154	1	this	this	PRON
bracis-28355	154	2	is	be	AUX
bracis-28355	154	3	true	true	ADJ
bracis-28355	154	4	because	because	SCONJ
bracis-28355	154	5	the	the	DET
bracis-28355	154	6	objective	objective	ADJ
bracis-28355	154	7	function	function	NOUN
bracis-28355	154	8	is	be	AUX
bracis-28355	154	9	a	a	DET
bracis-28355	154	10	minimization	minimization	NOUN
bracis-28355	154	11	on	on	ADP
bracis-28355	154	12	the	the	DET
bracis-28355	154	13	value	value	NOUN
bracis-28355	154	14	of	of	ADP
bracis-28355	154	15	\(q_c\	\(q_c\	ADJ
bracis-28355	154	16	)	)	PUNCT
bracis-28355	154	17	.	.	PUNCT
bracis-28355	155	1	lastly	lastly	ADV
bracis-28355	155	2	,	,	PUNCT
bracis-28355	155	3	equation	equation	NOUN
bracis-28355	155	4	 	 	SPACE
bracis-28355	155	5	(	(	PUNCT
bracis-28355	155	6	1	1	NUM
bracis-28355	155	7	g	g	NOUN
bracis-28355	155	8	)	)	PUNCT
bracis-28355	155	9	indicates	indicate	VERB
bracis-28355	155	10	the	the	DET
bracis-28355	155	11	domain	domain	NOUN
bracis-28355	155	12	of	of	ADP
bracis-28355	155	13	the	the	DET
bracis-28355	155	14	decision	decision	NOUN
bracis-28355	155	15	variables	variable	NOUN
bracis-28355	155	16	.	.	PUNCT
bracis-28355	156	1	age	age	NOUN
bracis-28355	156	2	regression	regression	NOUN
bracis-28355	156	3	model	model	NOUN
bracis-28355	156	4	.	.	PUNCT
bracis-28355	157	1	for	for	ADP
bracis-28355	157	2	evaluation	evaluation	NOUN
bracis-28355	157	3	of	of	ADP
bracis-28355	157	4	ilp	ilp	ADJ
bracis-28355	157	5	model	model	NOUN
bracis-28355	157	6	and	and	CCONJ
bracis-28355	157	7	comparison	comparison	NOUN
bracis-28355	157	8	with	with	ADP
bracis-28355	157	9	random	random	ADJ
bracis-28355	157	10	selection	selection	NOUN
bracis-28355	157	11	of	of	ADP
bracis-28355	157	12	sub	sub	NOUN
bracis-28355	157	13	-	-	NOUN
bracis-28355	157	14	samples	sample	NOUN
bracis-28355	157	15	of	of	ADP
bracis-28355	157	16	the	the	DET
bracis-28355	157	17	original	original	ADJ
bracis-28355	157	18	utkface	utkface	NOUN
bracis-28355	157	19	dataset	dataset	NOUN
bracis-28355	157	20	,	,	PUNCT
bracis-28355	157	21	we	we	PRON
bracis-28355	157	22	fine	fine	ADJ
bracis-28355	157	23	-	-	PUNCT
bracis-28355	157	24	tune	tune	NOUN
bracis-28355	157	25	resnet50	resnet50	NOUN
bracis-28355	157	26	architecture	architecture	NOUN
bracis-28355	157	27	 	 	SPACE
bracis-28355	158	1	[	[	X
bracis-28355	158	2	5	5	NUM
bracis-28355	158	3	]	]	PUNCT
bracis-28355	158	4	for	for	ADP
bracis-28355	158	5	regression	regression	NOUN
bracis-28355	158	6	task	task	NOUN
bracis-28355	158	7	about	about	ADP
bracis-28355	158	8	age	age	NOUN
bracis-28355	158	9	prediction	prediction	NOUN
bracis-28355	158	10	of	of	ADP
bracis-28355	158	11	each	each	DET
bracis-28355	158	12	image	image	NOUN
bracis-28355	158	13	.	.	PUNCT
bracis-28355	159	1	to	to	PART
bracis-28355	159	2	do	do	VERB
bracis-28355	159	3	so	so	ADV
bracis-28355	159	4	,	,	PUNCT
bracis-28355	159	5	we	we	PRON
bracis-28355	159	6	remove	remove	VERB
bracis-28355	159	7	the	the	DET
bracis-28355	159	8	original	original	ADJ
bracis-28355	159	9	output	output	NOUN
bracis-28355	159	10	layer	layer	NOUN
bracis-28355	159	11	from	from	ADP
bracis-28355	159	12	imagenet	imagenet	ADJ
bracis-28355	159	13	database	database	NOUN
bracis-28355	159	14	 	 	SPACE
bracis-28355	160	1	[	[	X
bracis-28355	160	2	7	7	NUM
bracis-28355	160	3	]	]	PUNCT
bracis-28355	160	4	and	and	CCONJ
bracis-28355	160	5	we	we	PRON
bracis-28355	160	6	include	include	VERB
bracis-28355	160	7	the	the	DET
bracis-28355	160	8	regression	regression	NOUN
bracis-28355	160	9	output	output	NOUN
bracis-28355	160	10	layer	layer	NOUN
bracis-28355	160	11	,	,	PUNCT
bracis-28355	160	12	which	which	PRON
bracis-28355	160	13	consists	consist	VERB
bracis-28355	160	14	of	of	ADP
bracis-28355	160	15	a	a	DET
bracis-28355	160	16	single	single	ADJ
bracis-28355	160	17	neuron	neuron	NOUN
bracis-28355	160	18	,	,	PUNCT
bracis-28355	160	19	in	in	ADP
bracis-28355	160	20	order	order	NOUN
bracis-28355	160	21	to	to	PART
bracis-28355	160	22	predict	predict	VERB
bracis-28355	160	23	a	a	DET
bracis-28355	160	24	single	single	ADJ
bracis-28355	160	25	float	float	NOUN
bracis-28355	160	26	value	value	NOUN
bracis-28355	160	27	corresponding	correspond	VERB
bracis-28355	160	28	to	to	ADP
bracis-28355	160	29	the	the	DET
bracis-28355	160	30	age	age	NOUN
bracis-28355	160	31	of	of	ADP
bracis-28355	160	32	each	each	DET
bracis-28355	160	33	sample	sample	NOUN
bracis-28355	160	34	.	.	PUNCT
bracis-28355	161	1	as	as	SCONJ
bracis-28355	161	2	each	each	DET
bracis-28355	161	3	image	image	NOUN
bracis-28355	161	4	from	from	ADP
bracis-28355	161	5	the	the	DET
bracis-28355	161	6	dataset	dataset	NOUN
bracis-28355	161	7	can	can	AUX
bracis-28355	161	8	have	have	VERB
bracis-28355	161	9	different	different	ADJ
bracis-28355	161	10	lengths	length	NOUN
bracis-28355	161	11	of	of	ADP
bracis-28355	161	12	pixel	pixel	PROPN
bracis-28355	161	13	dimensions	dimension	NOUN
bracis-28355	161	14	,	,	PUNCT
bracis-28355	161	15	that	that	ADV
bracis-28355	161	16	is	is	ADV
bracis-28355	161	17	,	,	PUNCT
bracis-28355	161	18	width	width	ADJ
bracis-28355	161	19	and	and	CCONJ
bracis-28355	161	20	height	height	NOUN
bracis-28355	161	21	sizes	size	NOUN
bracis-28355	161	22	,	,	PUNCT
bracis-28355	161	23	we	we	PRON
bracis-28355	161	24	resize	resize	VERB
bracis-28355	161	25	each	each	DET
bracis-28355	161	26	image	image	NOUN
bracis-28355	161	27	to	to	PART
bracis-28355	161	28	have	have	VERB
bracis-28355	161	29	the	the	DET
bracis-28355	161	30	same	same	ADJ
bracis-28355	161	31	shape	shape	NOUN
bracis-28355	161	32	.	.	PUNCT
bracis-28355	162	1	with	with	ADP
bracis-28355	162	2	this	this	DET
bracis-28355	162	3	preprocessing	preprocessing	NOUN
bracis-28355	162	4	step	step	NOUN
bracis-28355	162	5	,	,	PUNCT
bracis-28355	162	6	all	all	DET
bracis-28355	162	7	images	image	NOUN
bracis-28355	162	8	are	be	AUX
bracis-28355	162	9	transformed	transform	VERB
bracis-28355	162	10	to	to	ADP
bracis-28355	162	11	128	128	NUM
bracis-28355	162	12	pixels	pixel	NOUN
bracis-28355	162	13	of	of	ADP
bracis-28355	162	14	width	width	NOUN
bracis-28355	162	15	and	and	CCONJ
bracis-28355	162	16	128	128	NUM
bracis-28355	162	17	pixels	pixel	NOUN
bracis-28355	162	18	of	of	ADP
bracis-28355	162	19	height	height	NOUN
bracis-28355	162	20	.	.	PUNCT
bracis-28355	163	1	2.3	2.3	NUM
bracis-28355	163	2	evaluation	evaluation	NOUN
bracis-28355	163	3	metrics	metric	NOUN
bracis-28355	163	4	to	to	PART
bracis-28355	163	5	assess	assess	VERB
bracis-28355	163	6	our	our	PRON
bracis-28355	163	7	proposed	propose	VERB
bracis-28355	163	8	method	method	NOUN
bracis-28355	163	9	and	and	CCONJ
bracis-28355	163	10	comparison	comparison	NOUN
bracis-28355	163	11	with	with	ADP
bracis-28355	163	12	a	a	DET
bracis-28355	163	13	random	random	ADJ
bracis-28355	163	14	selection	selection	NOUN
bracis-28355	163	15	of	of	ADP
bracis-28355	163	16	images	image	NOUN
bracis-28355	163	17	,	,	PUNCT
bracis-28355	163	18	we	we	PRON
bracis-28355	163	19	apply	apply	VERB
bracis-28355	163	20	balanced	balanced	ADJ
bracis-28355	163	21	mae	mae	PROPN
bracis-28355	163	22	during	during	ADP
bracis-28355	163	23	our	our	PRON
bracis-28355	163	24	experiments	experiment	NOUN
bracis-28355	163	25	.	.	PUNCT
bracis-28355	164	1	balanced	balanced	ADJ
bracis-28355	164	2	mae	mae	PROPN
bracis-28355	164	3	is	be	AUX
bracis-28355	164	4	derived	derive	VERB
bracis-28355	164	5	from	from	ADP
bracis-28355	164	6	mean	mean	ADJ
bracis-28355	164	7	absolute	absolute	ADJ
bracis-28355	164	8	error	error	NOUN
bracis-28355	164	9	(	(	PUNCT
bracis-28355	164	10	mae	mae	PROPN
bracis-28355	164	11	)	)	PUNCT
bracis-28355	164	12	,	,	PUNCT
bracis-28355	164	13	which	which	PRON
bracis-28355	164	14	is	be	AUX
bracis-28355	164	15	presented	present	VERB
bracis-28355	164	16	in	in	ADP
bracis-28355	164	17	eq	eq	ADP
bracis-28355	164	18	.	.	PUNCT
bracis-28355	164	19	 	 	SPACE
bracis-28355	164	20	2	2	NUM
bracis-28355	164	21	,	,	PUNCT
bracis-28355	164	22	where	where	SCONJ
bracis-28355	164	23	n	n	PRON
bracis-28355	164	24	indicates	indicate	VERB
bracis-28355	164	25	the	the	DET
bracis-28355	164	26	number	number	NOUN
bracis-28355	164	27	of	of	ADP
bracis-28355	164	28	samples	sample	NOUN
bracis-28355	164	29	,	,	PUNCT
bracis-28355	164	30	\(y_{i}\	\(y_{i}\	NOUN
bracis-28355	164	31	)	)	PUNCT
bracis-28355	164	32	and	and	CCONJ
bracis-28355	164	33	\(\hat{y}_i\	\(\hat{y}_i\	NOUN
bracis-28355	164	34	)	)	PUNCT
bracis-28355	164	35	represent	represent	VERB
bracis-28355	164	36	the	the	DET
bracis-28355	164	37	ground	ground	NOUN
bracis-28355	164	38	-	-	PUNCT
bracis-28355	164	39	truth	truth	NOUN
bracis-28355	164	40	and	and	CCONJ
bracis-28355	164	41	predicted	predict	VERB
bracis-28355	164	42	values	value	NOUN
bracis-28355	164	43	for	for	ADP
bracis-28355	164	44	sample	sample	NOUN
bracis-28355	164	45	i	i	PROPN
bracis-28355	164	46	,	,	PUNCT
bracis-28355	164	47	respectively	respectively	ADV
bracis-28355	164	48	.	.	PUNCT
bracis-28355	165	1	$	$	SYM
bracis-28355	165	2	$	$	SYM
bracis-28355	165	3	\begin{aligned	\begin{aligne	VERB
bracis-28355	165	4	}	}	PUNCT
bracis-28355	165	5	{	{	PUNCT
bracis-28355	165	6	\text	\text	NOUN
bracis-28355	165	7	{	{	PUNCT
bracis-28355	165	8	mae	mae	PROPN
bracis-28355	165	9	}	}	PUNCT
bracis-28355	165	10	}	}	PUNCT
bracis-28355	165	11	=	=	SYM
bracis-28355	165	12	\frac{1}{n	\frac{1}{n	NOUN
bracis-28355	165	13	}	}	PUNCT
bracis-28355	165	14	\times	\time	NOUN
bracis-28355	165	15	\sum	\sum	NOUN
bracis-28355	165	16	_	_	PUNCT
bracis-28355	165	17	{	{	PUNCT
bracis-28355	165	18	i=1}^{n	i=1}^{n	ADJ
bracis-28355	165	19	}	}	PUNCT
bracis-28355	165	20	|y_{i	|y_{i	PROPN
bracis-28355	165	21	}	}	PUNCT
bracis-28355	165	22	\hat{y}_{i}|	\hat{y}_{i}|	ADP
bracis-28355	165	23	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28355	165	24	(	(	PUNCT
bracis-28355	165	25	2	2	NUM
bracis-28355	165	26	)	)	PUNCT
bracis-28355	165	27	based	base	VERB
bracis-28355	165	28	on	on	ADP
bracis-28355	165	29	the	the	DET
bracis-28355	165	30	mae	mae	PROPN
bracis-28355	165	31	score	score	NOUN
bracis-28355	165	32	for	for	ADP
bracis-28355	165	33	each	each	DET
bracis-28355	165	34	age	age	NOUN
bracis-28355	165	35	,	,	PUNCT
bracis-28355	165	36	that	that	ADV
bracis-28355	165	37	is	is	ADV
bracis-28355	165	38	,	,	PUNCT
bracis-28355	165	39	the	the	DET
bracis-28355	165	40	value	value	NOUN
bracis-28355	165	41	calculated	calculate	VERB
bracis-28355	165	42	using	use	VERB
bracis-28355	165	43	only	only	ADV
bracis-28355	165	44	the	the	DET
bracis-28355	165	45	images	image	NOUN
bracis-28355	165	46	from	from	ADP
bracis-28355	165	47	a	a	DET
bracis-28355	165	48	specific	specific	ADJ
bracis-28355	165	49	age	age	NOUN
bracis-28355	165	50	,	,	PUNCT
bracis-28355	165	51	we	we	PRON
bracis-28355	165	52	calculate	calculate	VERB
bracis-28355	165	53	balanced	balanced	ADJ
bracis-28355	165	54	mae	mae	PROPN
bracis-28355	165	55	(	(	PUNCT
bracis-28355	165	56	bmae	bmae	PROPN
bracis-28355	165	57	)	)	PUNCT
bracis-28355	165	58	,	,	PUNCT
bracis-28355	165	59	as	as	SCONJ
bracis-28355	165	60	shown	show	VERB
bracis-28355	165	61	in	in	ADP
bracis-28355	165	62	eq	eq	PROPN
bracis-28355	165	63	.	.	PUNCT
bracis-28355	165	64	 	 	SPACE
bracis-28355	166	1	3	3	X
bracis-28355	166	2	.	.	PUNCT
bracis-28355	167	1	in	in	ADP
bracis-28355	167	2	this	this	DET
bracis-28355	167	3	equation	equation	NOUN
bracis-28355	167	4	,	,	PUNCT
bracis-28355	167	5	c	c	PROPN
bracis-28355	167	6	represents	represent	VERB
bracis-28355	167	7	the	the	DET
bracis-28355	167	8	number	number	NOUN
bracis-28355	167	9	of	of	ADP
bracis-28355	167	10	ages	age	NOUN
bracis-28355	167	11	evaluated	evaluate	VERB
bracis-28355	167	12	at	at	ADP
bracis-28355	167	13	the	the	DET
bracis-28355	167	14	current	current	ADJ
bracis-28355	167	15	stage	stage	NOUN
bracis-28355	167	16	and	and	CCONJ
bracis-28355	167	17	\({\text	\({\text	PROPN
bracis-28355	167	18	{	{	PUNCT
bracis-28355	167	19	mae}}_{j}\	mae}}_{j}\	NOUN
bracis-28355	167	20	)	)	PUNCT
bracis-28355	167	21	indicates	indicate	VERB
bracis-28355	167	22	the	the	DET
bracis-28355	167	23	mae	mae	PROPN
bracis-28355	167	24	score	score	NOUN
bracis-28355	167	25	for	for	ADP
bracis-28355	167	26	a	a	DET
bracis-28355	167	27	specific	specific	ADJ
bracis-28355	167	28	age	age	NOUN
bracis-28355	167	29	j.	j.	PROPN
bracis-28355	168	1	$	$	SYM
bracis-28355	168	2	$	$	SYM
bracis-28355	168	3	\begin{aligned	\begin{aligne	VERB
bracis-28355	168	4	}	}	PUNCT
bracis-28355	168	5	{	{	PUNCT
bracis-28355	168	6	\text	\text	NOUN
bracis-28355	168	7	{	{	PUNCT
bracis-28355	168	8	bmae	bmae	NOUN
bracis-28355	168	9	}	}	PUNCT
bracis-28355	168	10	}	}	PUNCT
bracis-28355	168	11	=	=	SYM
bracis-28355	168	12	\frac{1}{c	\frac{1}{c	PROPN
bracis-28355	168	13	}	}	PUNCT
bracis-28355	168	14	\times	\times	PROPN
bracis-28355	168	15	\sum	\sum	NOUN
bracis-28355	168	16	_	_	PUNCT
bracis-28355	168	17	{	{	PUNCT
bracis-28355	168	18	j=1}^{c	j=1}^{c	NOUN
bracis-28355	168	19	}	}	PUNCT
bracis-28355	168	20	{	{	PUNCT
bracis-28355	168	21	\text	\text	NOUN
bracis-28355	168	22	{	{	PUNCT
bracis-28355	168	23	mae}}_{j	mae}}_{j	NOUN
bracis-28355	168	24	}	}	PUNCT
bracis-28355	168	25	\end{aligned}$$	\end{aligned}$$	X
bracis-28355	168	26	(	(	PUNCT
bracis-28355	168	27	3	3	X
bracis-28355	168	28	)	)	PUNCT
bracis-28355	168	29	it	it	PRON
bracis-28355	168	30	is	be	AUX
bracis-28355	168	31	important	important	ADJ
bracis-28355	168	32	to	to	PART
bracis-28355	168	33	note	note	VERB
bracis-28355	168	34	that	that	DET
bracis-28355	168	35	bmae	bmae	NOUN
bracis-28355	168	36	gives	give	VERB
bracis-28355	168	37	the	the	DET
bracis-28355	168	38	same	same	ADJ
bracis-28355	168	39	importance	importance	NOUN
bracis-28355	168	40	for	for	ADP
bracis-28355	168	41	each	each	DET
bracis-28355	168	42	age	age	NOUN
bracis-28355	168	43	,	,	PUNCT
bracis-28355	168	44	that	that	ADV
bracis-28355	168	45	is	is	ADV
bracis-28355	168	46	,	,	PUNCT
bracis-28355	168	47	independently	independently	ADV
bracis-28355	168	48	of	of	ADP
bracis-28355	168	49	the	the	DET
bracis-28355	168	50	number	number	NOUN
bracis-28355	168	51	of	of	ADP
bracis-28355	168	52	samples	sample	NOUN
bracis-28355	168	53	of	of	ADP
bracis-28355	168	54	a	a	DET
bracis-28355	168	55	specific	specific	ADJ
bracis-28355	168	56	age	age	NOUN
bracis-28355	168	57	.	.	PUNCT
bracis-28355	169	1	for	for	ADP
bracis-28355	169	2	example	example	NOUN
bracis-28355	169	3	,	,	PUNCT
bracis-28355	169	4	the	the	DET
bracis-28355	169	5	age	age	NOUN
bracis-28355	169	6	with	with	ADP
bracis-28355	169	7	the	the	DET
bracis-28355	169	8	majority	majority	NOUN
bracis-28355	169	9	number	number	NOUN
bracis-28355	169	10	of	of	ADP
bracis-28355	169	11	samples	sample	NOUN
bracis-28355	169	12	,	,	PUNCT
bracis-28355	169	13	it	it	PRON
bracis-28355	169	14	has	have	VERB
bracis-28355	169	15	the	the	DET
bracis-28355	169	16	same	same	ADJ
bracis-28355	169	17	impact	impact	NOUN
bracis-28355	169	18	as	as	ADP
bracis-28355	169	19	any	any	DET
bracis-28355	169	20	other	other	ADJ
bracis-28355	169	21	age	age	NOUN
bracis-28355	169	22	(	(	PUNCT
bracis-28355	169	23	for	for	ADP
bracis-28355	169	24	example	example	NOUN
bracis-28355	169	25	,	,	PUNCT
bracis-28355	169	26	the	the	DET
bracis-28355	169	27	age	age	NOUN
bracis-28355	169	28	with	with	ADP
bracis-28355	169	29	the	the	DET
bracis-28355	169	30	minority	minority	NOUN
bracis-28355	169	31	number	number	NOUN
bracis-28355	169	32	of	of	ADP
bracis-28355	169	33	samples	sample	NOUN
bracis-28355	169	34	)	)	PUNCT
bracis-28355	169	35	.	.	PUNCT
bracis-28355	170	1	since	since	SCONJ
bracis-28355	170	2	we	we	PRON
bracis-28355	170	3	are	be	AUX
bracis-28355	170	4	aiming	aim	VERB
bracis-28355	170	5	for	for	ADP
bracis-28355	170	6	a	a	DET
bracis-28355	170	7	model	model	NOUN
bracis-28355	170	8	that	that	PRON
bracis-28355	170	9	has	have	VERB
bracis-28355	170	10	a	a	DET
bracis-28355	170	11	fair	fair	ADJ
bracis-28355	170	12	training	training	NOUN
bracis-28355	170	13	in	in	ADP
bracis-28355	170	14	several	several	ADJ
bracis-28355	170	15	aspects	aspect	NOUN
bracis-28355	170	16	,	,	PUNCT
bracis-28355	170	17	including	include	VERB
bracis-28355	170	18	the	the	DET
bracis-28355	170	19	coverage	coverage	NOUN
bracis-28355	170	20	of	of	ADP
bracis-28355	170	21	the	the	DET
bracis-28355	170	22	ages	age	NOUN
bracis-28355	170	23	,	,	PUNCT
bracis-28355	170	24	this	this	DET
bracis-28355	170	25	score	score	NOUN
bracis-28355	170	26	is	be	AUX
bracis-28355	170	27	more	more	ADV
bracis-28355	170	28	appropriate	appropriate	ADJ
bracis-28355	170	29	when	when	SCONJ
bracis-28355	170	30	compared	compare	VERB
bracis-28355	170	31	to	to	ADP
bracis-28355	170	32	a	a	DET
bracis-28355	170	33	simple	simple	ADJ
bracis-28355	170	34	mae	mae	PROPN
bracis-28355	170	35	,	,	PUNCT
bracis-28355	170	36	where	where	SCONJ
bracis-28355	170	37	we	we	PRON
bracis-28355	170	38	would	would	AUX
bracis-28355	170	39	have	have	VERB
bracis-28355	170	40	that	that	DET
bracis-28355	170	41	errors	error	NOUN
bracis-28355	170	42	in	in	ADP
bracis-28355	170	43	ages	age	NOUN
bracis-28355	170	44	that	that	PRON
bracis-28355	170	45	are	be	AUX
bracis-28355	170	46	underrepresented	underrepresented	ADJ
bracis-28355	170	47	would	would	AUX
bracis-28355	170	48	have	have	VERB
bracis-28355	170	49	a	a	DET
bracis-28355	170	50	lesser	less	ADJ
bracis-28355	170	51	impact	impact	NOUN
bracis-28355	170	52	on	on	ADP
bracis-28355	170	53	the	the	DET
bracis-28355	170	54	overall	overall	ADJ
bracis-28355	170	55	metric	metric	NOUN
bracis-28355	170	56	.	.	PUNCT
bracis-28355	171	1	3	3	NUM
bracis-28355	171	2	computational	computational	ADJ
bracis-28355	171	3	results	result	NOUN
bracis-28355	171	4	in	in	ADP
bracis-28355	171	5	this	this	DET
bracis-28355	171	6	section	section	NOUN
bracis-28355	171	7	,	,	PUNCT
bracis-28355	171	8	we	we	PRON
bracis-28355	171	9	present	present	VERB
bracis-28355	171	10	and	and	CCONJ
bracis-28355	171	11	discuss	discuss	VERB
bracis-28355	171	12	the	the	DET
bracis-28355	171	13	results	result	NOUN
bracis-28355	171	14	of	of	ADP
bracis-28355	171	15	our	our	PRON
bracis-28355	171	16	computational	computational	ADJ
bracis-28355	171	17	experiments	experiment	NOUN
bracis-28355	171	18	.	.	PUNCT
bracis-28355	172	1	our	our	PRON
bracis-28355	172	2	experiments	experiment	NOUN
bracis-28355	172	3	are	be	AUX
bracis-28355	172	4	divided	divide	VERB
bracis-28355	172	5	into	into	ADP
bracis-28355	172	6	two	two	NUM
bracis-28355	172	7	phases	phase	NOUN
bracis-28355	172	8	:	:	PUNCT
bracis-28355	172	9	experimentation	experimentation	NOUN
bracis-28355	172	10	with	with	ADP
bracis-28355	172	11	the	the	DET
bracis-28355	172	12	ilp	ilp	ADJ
bracis-28355	172	13	model	model	NOUN
bracis-28355	172	14	and	and	CCONJ
bracis-28355	172	15	experimentation	experimentation	NOUN
bracis-28355	172	16	with	with	ADP
bracis-28355	172	17	the	the	DET
bracis-28355	172	18	age	age	NOUN
bracis-28355	172	19	regression	regression	NOUN
bracis-28355	172	20	model	model	NOUN
bracis-28355	172	21	.	.	PUNCT
bracis-28355	173	1	in	in	ADP
bracis-28355	173	2	both	both	DET
bracis-28355	173	3	phases	phase	NOUN
bracis-28355	173	4	,	,	PUNCT
bracis-28355	173	5	we	we	PRON
bracis-28355	173	6	analyze	analyze	VERB
bracis-28355	173	7	the	the	DET
bracis-28355	173	8	concepts	concept	NOUN
bracis-28355	173	9	of	of	ADP
bracis-28355	173	10	fairness	fairness	NOUN
bracis-28355	173	11	and	and	CCONJ
bracis-28355	173	12	how	how	SCONJ
bracis-28355	173	13	they	they	PRON
bracis-28355	173	14	are	be	AUX
bracis-28355	173	15	manifested	manifest	VERB
bracis-28355	173	16	in	in	ADP
bracis-28355	173	17	each	each	DET
bracis-28355	173	18	case	case	NOUN
bracis-28355	173	19	.	.	PUNCT
bracis-28355	174	1	3.1	3.1	NUM
bracis-28355	174	2	computational	computational	ADJ
bracis-28355	174	3	setups	setup	NOUN
bracis-28355	174	4	before	before	SCONJ
bracis-28355	174	5	we	we	PRON
bracis-28355	174	6	present	present	VERB
bracis-28355	174	7	our	our	PRON
bracis-28355	174	8	computational	computational	ADJ
bracis-28355	174	9	results	result	NOUN
bracis-28355	174	10	,	,	PUNCT
bracis-28355	174	11	let	let	VERB
bracis-28355	174	12	us	we	PRON
bracis-28355	174	13	first	first	ADV
bracis-28355	174	14	present	present	VERB
bracis-28355	174	15	the	the	DET
bracis-28355	174	16	setups	setup	NOUN
bracis-28355	174	17	used	use	VERB
bracis-28355	174	18	in	in	ADP
bracis-28355	174	19	each	each	DET
bracis-28355	174	20	phase	phase	NOUN
bracis-28355	174	21	of	of	ADP
bracis-28355	174	22	our	our	PRON
bracis-28355	174	23	experiments	experiment	NOUN
bracis-28355	174	24	.	.	PUNCT
bracis-28355	175	1	ilp	ilp	ADJ
bracis-28355	175	2	setup	setup	NOUN
bracis-28355	175	3	:	:	PUNCT
bracis-28355	175	4	we	we	PRON
bracis-28355	175	5	used	use	VERB
bracis-28355	175	6	the	the	DET
bracis-28355	175	7	ibm	ibm	PROPN
bracis-28355	175	8	cplex	cplex	PROPN
bracis-28355	175	9	studio	studio	NOUN
bracis-28355	175	10	(	(	PUNCT
bracis-28355	175	11	version	version	NOUN
bracis-28355	175	12	 	 	SPACE
bracis-28355	175	13	12.8	12.8	NUM
bracis-28355	175	14	)	)	PUNCT
bracis-28355	175	15	to	to	PART
bracis-28355	175	16	solve	solve	VERB
bracis-28355	175	17	the	the	DET
bracis-28355	175	18	combinatorial	combinatorial	ADJ
bracis-28355	175	19	optimization	optimization	NOUN
bracis-28355	175	20	instances	instance	NOUN
bracis-28355	175	21	described	describe	VERB
bracis-28355	175	22	in	in	ADP
bracis-28355	175	23	the	the	DET
bracis-28355	175	24	previous	previous	ADJ
bracis-28355	175	25	sections	section	NOUN
bracis-28355	175	26	.	.	PUNCT
bracis-28355	176	1	we	we	PRON
bracis-28355	176	2	used	use	VERB
bracis-28355	176	3	the	the	DET
bracis-28355	176	4	programming	programming	NOUN
bracis-28355	176	5	language	language	NOUN
bracis-28355	176	6	c++	c++	NOUN
bracis-28355	176	7	to	to	PART
bracis-28355	176	8	implement	implement	VERB
bracis-28355	176	9	the	the	DET
bracis-28355	176	10	model	model	NOUN
bracis-28355	176	11	described	describe	VERB
bracis-28355	176	12	in	in	ADP
bracis-28355	176	13	sect	sect	NOUN
bracis-28355	176	14	.	.	PUNCT
bracis-28355	176	15	 	 	SPACE
bracis-28355	176	16	2	2	NUM
bracis-28355	176	17	with	with	ADP
bracis-28355	176	18	compiler	compiler	NOUN
bracis-28355	176	19	g++	g++	PROPN
bracis-28355	176	20	(	(	PUNCT
bracis-28355	176	21	version	version	NOUN
bracis-28355	176	22	 	 	SPACE
bracis-28355	176	23	11.3.0	11.3.0	NUM
bracis-28355	176	24	)	)	PUNCT
bracis-28355	176	25	,	,	PUNCT
bracis-28355	176	26	flags	flag	NOUN
bracis-28355	176	27	c++19	c++19	VERB
bracis-28355	176	28	and	and	CCONJ
bracis-28355	176	29	-o3	-o3	ADJ
bracis-28355	176	30	.	.	PUNCT
bracis-28355	177	1	the	the	DET
bracis-28355	177	2	experiments	experiment	NOUN
bracis-28355	177	3	reported	report	VERB
bracis-28355	177	4	in	in	ADP
bracis-28355	177	5	sect	sect	NOUN
bracis-28355	177	6	.	.	PUNCT
bracis-28355	177	7	 	 	SPACE
bracis-28355	178	1	3.2	3.2	NUM
bracis-28355	178	2	were	be	AUX
bracis-28355	178	3	run	run	VERB
bracis-28355	178	4	in	in	ADP
bracis-28355	178	5	a	a	DET
bracis-28355	178	6	ubuntu	ubuntu	ADJ
bracis-28355	178	7	22.04.2	22.04.2	NUM
bracis-28355	178	8	lts	lt	VERB
bracis-28355	178	9	desktop	desktop	NOUN
bracis-28355	178	10	with	with	ADP
bracis-28355	178	11	intel	intel	PROPN
bracis-28355	178	12	®	®	NOUN
bracis-28355	178	13	core	core	NOUN
bracis-28355	178	14	™	™	VERB
bracis-28355	178	15	i7	i7	NOUN
bracis-28355	178	16	-	-	PUNCT
bracis-28355	178	17	7700k	7700k	NOUN
bracis-28355	178	18	and	and	CCONJ
bracis-28355	178	19	32	32	NUM
bracis-28355	178	20	gb	gb	NOUN
bracis-28355	178	21	of	of	ADP
bracis-28355	178	22	ram	ram	NOUN
bracis-28355	178	23	.	.	PUNCT
bracis-28355	179	1	age	age	NOUN
bracis-28355	179	2	regression	regression	NOUN
bracis-28355	179	3	model	model	NOUN
bracis-28355	179	4	setup	setup	NOUN
bracis-28355	179	5	:	:	PUNCT
bracis-28355	179	6	the	the	DET
bracis-28355	179	7	age	age	NOUN
bracis-28355	179	8	regression	regression	NOUN
bracis-28355	179	9	model	model	NOUN
bracis-28355	179	10	was	be	AUX
bracis-28355	179	11	implemented	implement	VERB
bracis-28355	179	12	using	use	VERB
bracis-28355	179	13	the	the	DET
bracis-28355	179	14	programming	programming	NOUN
bracis-28355	179	15	language	language	NOUN
bracis-28355	179	16	 	 	SPACE
bracis-28355	179	17	python	python	NOUN
bracis-28355	179	18	and	and	CCONJ
bracis-28355	179	19	 	 	SPACE
bracis-28355	179	20	tensorflow	tensorflow	NOUN
bracis-28355	179	21	library	library	NOUN
bracis-28355	179	22	.	.	PUNCT
bracis-28355	180	1	to	to	PART
bracis-28355	180	2	train	train	VERB
bracis-28355	180	3	and	and	CCONJ
bracis-28355	180	4	evaluate	evaluate	VERB
bracis-28355	180	5	our	our	PRON
bracis-28355	180	6	model	model	NOUN
bracis-28355	180	7	,	,	PUNCT
bracis-28355	180	8	we	we	PRON
bracis-28355	180	9	used	use	VERB
bracis-28355	180	10	 	 	SPACE
bracis-28355	180	11	google	google	PROPN
bracis-28355	180	12	colaboratory	colaboratory	PROPN
bracis-28355	180	13	virtual	virtual	ADJ
bracis-28355	180	14	environment	environment	NOUN
bracis-28355	180	15	.	.	PUNCT
bracis-28355	181	1	during	during	ADP
bracis-28355	181	2	the	the	DET
bracis-28355	181	3	training	training	NOUN
bracis-28355	181	4	step	step	NOUN
bracis-28355	181	5	,	,	PUNCT
bracis-28355	181	6	the	the	DET
bracis-28355	181	7	model	model	NOUN
bracis-28355	181	8	was	be	AUX
bracis-28355	181	9	trained	train	VERB
bracis-28355	181	10	during	during	ADP
bracis-28355	181	11	200	200	NUM
bracis-28355	181	12	epochs	epoch	NOUN
bracis-28355	181	13	,	,	PUNCT
bracis-28355	181	14	with	with	ADP
bracis-28355	181	15	early	early	ADJ
bracis-28355	181	16	stopping	stopping	NOUN
bracis-28355	181	17	technique	technique	NOUN
bracis-28355	181	18	with	with	ADP
bracis-28355	181	19	patience	patience	NOUN
bracis-28355	181	20	of	of	ADP
bracis-28355	181	21	20	20	NUM
bracis-28355	181	22	epochs	epoch	NOUN
bracis-28355	181	23	and	and	CCONJ
bracis-28355	181	24	reduction	reduction	NOUN
bracis-28355	181	25	of	of	ADP
bracis-28355	181	26	learning	learn	VERB
bracis-28355	181	27	rate	rate	NOUN
bracis-28355	181	28	by	by	ADP
bracis-28355	181	29	a	a	DET
bracis-28355	181	30	factor	factor	NOUN
bracis-28355	181	31	of	of	ADP
bracis-28355	181	32	\(10^{-1}\	\(10^{-1}\	ADJ
bracis-28355	181	33	)	)	PUNCT
bracis-28355	181	34	if	if	SCONJ
bracis-28355	181	35	the	the	DET
bracis-28355	181	36	model	model	NOUN
bracis-28355	181	37	did	do	AUX
bracis-28355	181	38	not	not	PART
bracis-28355	181	39	improved	improve	VERB
bracis-28355	181	40	the	the	DET
bracis-28355	181	41	results	result	NOUN
bracis-28355	181	42	on	on	ADP
bracis-28355	181	43	validation	validation	NOUN
bracis-28355	181	44	set	set	VERB
bracis-28355	181	45	after	after	ADP
bracis-28355	181	46	10	10	NUM
bracis-28355	181	47	epochs	epoch	NOUN
bracis-28355	181	48	.	.	PUNCT
bracis-28355	182	1	for	for	ADP
bracis-28355	182	2	the	the	DET
bracis-28355	182	3	optimization	optimization	NOUN
bracis-28355	182	4	process	process	NOUN
bracis-28355	182	5	,	,	PUNCT
bracis-28355	182	6	we	we	PRON
bracis-28355	182	7	employed	employ	VERB
bracis-28355	182	8	mae	mae	PROPN
bracis-28355	182	9	as	as	ADP
bracis-28355	182	10	loss	loss	NOUN
bracis-28355	182	11	function	function	NOUN
bracis-28355	182	12	and	and	CCONJ
bracis-28355	182	13	adamw	adamw	NOUN
bracis-28355	182	14	optimizer	optimizer	NOUN
bracis-28355	182	15	 	 	SPACE
bracis-28355	183	1	[	[	X
bracis-28355	183	2	9	9	NUM
bracis-28355	183	3	]	]	PUNCT
bracis-28355	183	4	with	with	ADP
bracis-28355	183	5	initial	initial	ADJ
bracis-28355	183	6	learning	learning	NOUN
bracis-28355	183	7	rate	rate	NOUN
bracis-28355	183	8	equal	equal	ADJ
bracis-28355	183	9	to	to	ADP
bracis-28355	183	10	\(10^{-4}\	\(10^{-4}\	NOUN
bracis-28355	183	11	)	)	PUNCT
bracis-28355	183	12	.	.	PUNCT
bracis-28355	184	1	it	it	PRON
bracis-28355	184	2	is	be	AUX
bracis-28355	184	3	worth	worth	ADJ
bracis-28355	184	4	noting	note	VERB
bracis-28355	184	5	that	that	SCONJ
bracis-28355	184	6	we	we	PRON
bracis-28355	184	7	tuned	tune	VERB
bracis-28355	184	8	these	these	DET
bracis-28355	184	9	parameter	parameter	NOUN
bracis-28355	184	10	with	with	ADP
bracis-28355	184	11	experiments	experiment	NOUN
bracis-28355	184	12	on	on	ADP
bracis-28355	184	13	the	the	DET
bracis-28355	184	14	full	full	ADJ
bracis-28355	184	15	training	training	NOUN
bracis-28355	184	16	dataset	dataset	NOUN
bracis-28355	184	17	,	,	PUNCT
bracis-28355	184	18	without	without	ADP
bracis-28355	184	19	any	any	DET
bracis-28355	184	20	fairness	fairness	NOUN
bracis-28355	184	21	adjustments	adjustment	NOUN
bracis-28355	184	22	.	.	PUNCT
bracis-28355	185	1	we	we	PRON
bracis-28355	185	2	followed	follow	VERB
bracis-28355	185	3	this	this	DET
bracis-28355	185	4	configuration	configuration	NOUN
bracis-28355	185	5	for	for	ADP
bracis-28355	185	6	both	both	CCONJ
bracis-28355	185	7	fair	fair	ADJ
bracis-28355	185	8	and	and	CCONJ
bracis-28355	185	9	random	random	ADJ
bracis-28355	185	10	selection	selection	NOUN
bracis-28355	185	11	of	of	ADP
bracis-28355	185	12	images	image	NOUN
bracis-28355	185	13	for	for	ADP
bracis-28355	185	14	age	age	NOUN
bracis-28355	185	15	regression	regression	NOUN
bracis-28355	185	16	models	model	NOUN
bracis-28355	185	17	.	.	PUNCT
bracis-28355	186	1	3.2	3.2	NUM
bracis-28355	186	2	ilp	ilp	NOUN
bracis-28355	186	3	model	model	NOUN
bracis-28355	186	4	results	result	NOUN
bracis-28355	186	5	with	with	ADP
bracis-28355	186	6	the	the	DET
bracis-28355	186	7	model	model	NOUN
bracis-28355	186	8	implemented	implement	VERB
bracis-28355	186	9	,	,	PUNCT
bracis-28355	186	10	we	we	PRON
bracis-28355	186	11	started	start	VERB
bracis-28355	186	12	the	the	DET
bracis-28355	186	13	experiments	experiment	NOUN
bracis-28355	186	14	with	with	ADP
bracis-28355	186	15	the	the	DET
bracis-28355	186	16	different	different	ADJ
bracis-28355	186	17	instances	instance	NOUN
bracis-28355	186	18	created	create	VERB
bracis-28355	186	19	from	from	ADP
bracis-28355	186	20	the	the	DET
bracis-28355	186	21	utkface	utkface	NOUN
bracis-28355	186	22	dataset	dataset	VERB
bracis-28355	186	23	.	.	PUNCT
bracis-28355	187	1	to	to	PART
bracis-28355	187	2	create	create	VERB
bracis-28355	187	3	the	the	DET
bracis-28355	187	4	instances	instance	NOUN
bracis-28355	187	5	,	,	PUNCT
bracis-28355	187	6	we	we	PRON
bracis-28355	187	7	considered	consider	VERB
bracis-28355	187	8	the	the	DET
bracis-28355	187	9	annotations	annotation	NOUN
bracis-28355	187	10	of	of	ADP
bracis-28355	187	11	gender	gender	NOUN
bracis-28355	187	12	,	,	PUNCT
bracis-28355	187	13	age	age	NOUN
bracis-28355	187	14	and	and	CCONJ
bracis-28355	187	15	race	race	NOUN
bracis-28355	187	16	provided	provide	VERB
bracis-28355	187	17	in	in	ADP
bracis-28355	187	18	the	the	DET
bracis-28355	187	19	dataset	dataset	NOUN
bracis-28355	187	20	to	to	PART
bracis-28355	187	21	be	be	AUX
bracis-28355	187	22	a	a	DET
bracis-28355	187	23	tabular	tabular	NOUN
bracis-28355	187	24	set	set	VERB
bracis-28355	187	25	with	with	ADP
bracis-28355	187	26	three	three	NUM
bracis-28355	187	27	attributes	attribute	NOUN
bracis-28355	187	28	and	and	CCONJ
bracis-28355	187	29	15172	15172	NUM
bracis-28355	187	30	samples	sample	NOUN
bracis-28355	187	31	,	,	PUNCT
bracis-28355	187	32	that	that	ADV
bracis-28355	187	33	is	is	ADV
bracis-28355	187	34	,	,	PUNCT
bracis-28355	187	35	we	we	PRON
bracis-28355	187	36	considered	consider	VERB
bracis-28355	187	37	only	only	ADV
bracis-28355	187	38	the	the	DET
bracis-28355	187	39	images	image	NOUN
bracis-28355	187	40	from	from	ADP
bracis-28355	187	41	training	training	NOUN
bracis-28355	187	42	split	split	NOUN
bracis-28355	187	43	of	of	ADP
bracis-28355	187	44	the	the	DET
bracis-28355	187	45	original	original	ADJ
bracis-28355	187	46	dataset	dataset	NOUN
bracis-28355	187	47	.	.	PUNCT
bracis-28355	188	1	for	for	ADP
bracis-28355	188	2	each	each	DET
bracis-28355	188	3	possible	possible	ADJ
bracis-28355	188	4	value	value	NOUN
bracis-28355	188	5	of	of	ADP
bracis-28355	188	6	the	the	DET
bracis-28355	188	7	three	three	NUM
bracis-28355	188	8	attributes	attribute	NOUN
bracis-28355	188	9	,	,	PUNCT
bracis-28355	188	10	we	we	PRON
bracis-28355	188	11	assigned	assign	VERB
bracis-28355	188	12	a	a	DET
bracis-28355	188	13	distinct	distinct	ADJ
bracis-28355	188	14	color	color	NOUN
bracis-28355	188	15	and	and	CCONJ
bracis-28355	188	16	created	create	VERB
bracis-28355	188	17	the	the	DET
bracis-28355	188	18	sets	set	NOUN
bracis-28355	188	19	corresponding	correspond	VERB
bracis-28355	188	20	to	to	ADP
bracis-28355	188	21	the	the	DET
bracis-28355	188	22	each	each	DET
bracis-28355	188	23	sample	sample	NOUN
bracis-28355	188	24	.	.	PUNCT
bracis-28355	189	1	note	note	VERB
bracis-28355	189	2	that	that	SCONJ
bracis-28355	189	3	each	each	DET
bracis-28355	189	4	subset	subset	NOUN
bracis-28355	189	5	of	of	ADP
bracis-28355	189	6	elements	element	NOUN
bracis-28355	189	7	has	have	VERB
bracis-28355	189	8	size	size	NOUN
bracis-28355	189	9	three	three	NUM
bracis-28355	189	10	,	,	PUNCT
bracis-28355	189	11	since	since	SCONJ
bracis-28355	189	12	it	it	PRON
bracis-28355	189	13	contains	contain	VERB
bracis-28355	189	14	one	one	NUM
bracis-28355	189	15	element	element	NOUN
bracis-28355	189	16	for	for	ADP
bracis-28355	189	17	each	each	DET
bracis-28355	189	18	attribute	attribute	NOUN
bracis-28355	189	19	.	.	PUNCT
bracis-28355	190	1	we	we	PRON
bracis-28355	190	2	specified	specify	VERB
bracis-28355	190	3	four	four	NUM
bracis-28355	190	4	arbitrary	arbitrary	ADJ
bracis-28355	190	5	values	value	NOUN
bracis-28355	190	6	for	for	SCONJ
bracis-28355	190	7	k	k	PROPN
bracis-28355	190	8	to	to	PART
bracis-28355	190	9	use	use	VERB
bracis-28355	190	10	in	in	ADP
bracis-28355	190	11	the	the	DET
bracis-28355	190	12	instances	instance	NOUN
bracis-28355	190	13	:	:	PUNCT
bracis-28355	190	14	1000	1000	NUM
bracis-28355	190	15	,	,	PUNCT
bracis-28355	190	16	 	 	SPACE
bracis-28355	190	17	2000	2000	NUM
bracis-28355	190	18	,	,	PUNCT
bracis-28355	190	19	 	 	SPACE
bracis-28355	190	20	5000	5000	NUM
bracis-28355	190	21	,	,	PUNCT
bracis-28355	190	22	 	 	SPACE
bracis-28355	190	23	10000	10000	NUM
bracis-28355	190	24	.	.	PUNCT
bracis-28355	191	1	these	these	DET
bracis-28355	191	2	numbers	number	NOUN
bracis-28355	191	3	will	will	AUX
bracis-28355	191	4	specify	specify	VERB
bracis-28355	191	5	the	the	DET
bracis-28355	191	6	sizes	size	NOUN
bracis-28355	191	7	of	of	ADP
bracis-28355	191	8	the	the	DET
bracis-28355	191	9	cover	cover	NOUN
bracis-28355	191	10	.	.	PUNCT
bracis-28355	192	1	after	after	ADP
bracis-28355	192	2	defining	define	VERB
bracis-28355	192	3	the	the	DET
bracis-28355	192	4	elements	element	NOUN
bracis-28355	192	5	,	,	PUNCT
bracis-28355	192	6	the	the	DET
bracis-28355	192	7	sets	set	NOUN
bracis-28355	192	8	,	,	PUNCT
bracis-28355	192	9	the	the	DET
bracis-28355	192	10	coloring	coloring	NOUN
bracis-28355	192	11	and	and	CCONJ
bracis-28355	192	12	the	the	DET
bracis-28355	192	13	values	value	NOUN
bracis-28355	192	14	for	for	ADP
bracis-28355	192	15	the	the	DET
bracis-28355	192	16	parameter	parameter	NOUN
bracis-28355	192	17	k	k	PROPN
bracis-28355	192	18	,	,	PUNCT
bracis-28355	192	19	we	we	PRON
bracis-28355	192	20	needed	need	VERB
bracis-28355	192	21	to	to	PART
bracis-28355	192	22	estimate	estimate	VERB
bracis-28355	192	23	the	the	DET
bracis-28355	192	24	ideal	ideal	ADJ
bracis-28355	192	25	values	value	NOUN
bracis-28355	192	26	for	for	ADP
bracis-28355	192	27	each	each	DET
bracis-28355	192	28	color	color	NOUN
bracis-28355	192	29	.	.	PUNCT
bracis-28355	193	1	in	in	ADP
bracis-28355	193	2	a	a	DET
bracis-28355	193	3	perfect	perfect	ADJ
bracis-28355	193	4	scenario	scenario	NOUN
bracis-28355	193	5	,	,	PUNCT
bracis-28355	193	6	the	the	DET
bracis-28355	193	7	ideal	ideal	ADJ
bracis-28355	193	8	value	value	NOUN
bracis-28355	193	9	\(i_c\	\(i_c\	NUM
bracis-28355	193	10	)	)	PUNCT
bracis-28355	193	11	for	for	ADP
bracis-28355	193	12	a	a	DET
bracis-28355	193	13	given	give	VERB
bracis-28355	193	14	color	color	NOUN
bracis-28355	193	15	c	c	NOUN
bracis-28355	193	16	would	would	AUX
bracis-28355	193	17	be	be	AUX
bracis-28355	193	18	defined	define	VERB
bracis-28355	193	19	as	as	ADP
bracis-28355	193	20	\(\frac{k}{|g_a|}\	\(\frac{k}{|g_a|}\	NOUN
bracis-28355	193	21	)	)	PUNCT
bracis-28355	193	22	,	,	PUNCT
bracis-28355	193	23	where	where	SCONJ
bracis-28355	193	24	\(c	\(c	ADJ
bracis-28355	193	25	\in	\in	PROPN
bracis-28355	193	26	g_a\	g_a\	NOUN
bracis-28355	193	27	)	)	PUNCT
bracis-28355	193	28	,	,	PUNCT
bracis-28355	193	29	but	but	CCONJ
bracis-28355	193	30	from	from	ADP
bracis-28355	193	31	analyzing	analyze	VERB
bracis-28355	193	32	the	the	DET
bracis-28355	193	33	dataset	dataset	NOUN
bracis-28355	193	34	,	,	PUNCT
bracis-28355	193	35	we	we	PRON
bracis-28355	193	36	saw	see	VERB
bracis-28355	193	37	that	that	SCONJ
bracis-28355	193	38	this	this	PRON
bracis-28355	193	39	can	can	AUX
bracis-28355	193	40	not	not	PART
bracis-28355	193	41	always	always	ADV
bracis-28355	193	42	be	be	AUX
bracis-28355	193	43	achieved	achieve	VERB
bracis-28355	193	44	since	since	SCONJ
bracis-28355	193	45	there	there	PRON
bracis-28355	193	46	were	be	VERB
bracis-28355	193	47	sub	sub	ADJ
bracis-28355	193	48	-	-	ADJ
bracis-28355	193	49	represented	represent	VERB
bracis-28355	193	50	colors	color	NOUN
bracis-28355	193	51	in	in	ADP
bracis-28355	193	52	the	the	DET
bracis-28355	193	53	dataset	dataset	NOUN
bracis-28355	193	54	.	.	PUNCT
bracis-28355	194	1	for	for	ADP
bracis-28355	194	2	these	these	DET
bracis-28355	194	3	cases	case	NOUN
bracis-28355	194	4	we	we	PRON
bracis-28355	194	5	devised	devise	VERB
bracis-28355	194	6	a	a	DET
bracis-28355	194	7	simple	simple	ADJ
bracis-28355	194	8	procedure	procedure	NOUN
bracis-28355	194	9	to	to	PART
bracis-28355	194	10	compute	compute	VERB
bracis-28355	194	11	the	the	DET
bracis-28355	194	12	value	value	NOUN
bracis-28355	194	13	\(i_c\	\(i_c\	NOUN
bracis-28355	194	14	)	)	PUNCT
bracis-28355	194	15	for	for	ADP
bracis-28355	194	16	each	each	DET
bracis-28355	194	17	color	color	NOUN
bracis-28355	194	18	group	group	NOUN
bracis-28355	194	19	\(g_a\	\(g_a\	NOUN
bracis-28355	194	20	)	)	PUNCT
bracis-28355	194	21	.	.	PUNCT
bracis-28355	195	1	we	we	PRON
bracis-28355	195	2	start	start	VERB
bracis-28355	195	3	the	the	DET
bracis-28355	195	4	procedure	procedure	NOUN
bracis-28355	195	5	by	by	ADP
bracis-28355	195	6	defining	define	VERB
bracis-28355	195	7	a	a	DET
bracis-28355	195	8	temporary	temporary	ADJ
bracis-28355	195	9	\(t_i\	\(t_i\	NOUN
bracis-28355	195	10	)	)	PUNCT
bracis-28355	195	11	ideal	ideal	ADJ
bracis-28355	195	12	value	value	NOUN
bracis-28355	195	13	as	as	ADP
bracis-28355	195	14	\(\frac{k}{|g_a|}\	\(\frac{k}{|g_a|}\	NOUN
bracis-28355	195	15	)	)	PUNCT
bracis-28355	195	16	.	.	PUNCT
bracis-28355	196	1	for	for	ADP
bracis-28355	196	2	every	every	DET
bracis-28355	196	3	color	color	NOUN
bracis-28355	196	4	in	in	ADP
bracis-28355	196	5	\(c	\(c	ADJ
bracis-28355	196	6	\in	\in	PROPN
bracis-28355	196	7	g_a\	g_a\	NOUN
bracis-28355	196	8	)	)	PUNCT
bracis-28355	196	9	that	that	PRON
bracis-28355	196	10	has	have	VERB
bracis-28355	196	11	a	a	DET
bracis-28355	196	12	frequency	frequency	NOUN
bracis-28355	196	13	smaller	small	ADJ
bracis-28355	196	14	than	than	ADP
bracis-28355	196	15	\(t_i\	\(t_i\	NOUN
bracis-28355	196	16	)	)	PUNCT
bracis-28355	196	17	,	,	PUNCT
bracis-28355	196	18	we	we	PRON
bracis-28355	196	19	set	set	VERB
bracis-28355	196	20	\(i_c\	\(i_c\	NUM
bracis-28355	196	21	)	)	PUNCT
bracis-28355	196	22	as	as	ADP
bracis-28355	196	23	the	the	DET
bracis-28355	196	24	value	value	NOUN
bracis-28355	196	25	of	of	ADP
bracis-28355	196	26	the	the	DET
bracis-28355	196	27	frequency	frequency	NOUN
bracis-28355	196	28	of	of	ADP
bracis-28355	196	29	color	color	NOUN
bracis-28355	196	30	c	c	NOUN
bracis-28355	196	31	,	,	PUNCT
bracis-28355	196	32	next	next	ADV
bracis-28355	196	33	we	we	PRON
bracis-28355	196	34	update	update	VERB
bracis-28355	196	35	\(t_i	\(t_i	NOUN
bracis-28355	196	36	=	=	SYM
bracis-28355	196	37	\frac{k	\frac{k	X
bracis-28355	196	38	k^\prime	k^\prime	NOUN
bracis-28355	196	39	}	}	PUNCT
bracis-28355	196	40	{	{	PUNCT
bracis-28355	196	41	|g_a|	|g_a|	ADP
bracis-28355	196	42	n^\prime	n^\prime	NOUN
bracis-28355	196	43	}	}	PUNCT
bracis-28355	196	44	\	\	PROPN
bracis-28355	196	45	)	)	PUNCT
bracis-28355	196	46	,	,	PUNCT
bracis-28355	196	47	where	where	SCONJ
bracis-28355	196	48	\(k^\prime	\(k^\prime	PROPN
bracis-28355	196	49	\	\	PROPN
bracis-28355	196	50	)	)	PUNCT
bracis-28355	196	51	is	be	AUX
bracis-28355	196	52	the	the	DET
bracis-28355	196	53	sum	sum	NOUN
bracis-28355	196	54	of	of	ADP
bracis-28355	196	55	frequency	frequency	NOUN
bracis-28355	196	56	of	of	ADP
bracis-28355	196	57	the	the	DET
bracis-28355	196	58	colors	color	NOUN
bracis-28355	196	59	that	that	PRON
bracis-28355	196	60	just	just	ADV
bracis-28355	196	61	had	have	VERB
bracis-28355	196	62	their	their	PRON
bracis-28355	196	63	ideal	ideal	ADJ
bracis-28355	196	64	value	value	NOUN
bracis-28355	196	65	\(i_c\	\(i_c\	NOUN
bracis-28355	196	66	)	)	PUNCT
bracis-28355	196	67	set	set	NOUN
bracis-28355	196	68	and	and	CCONJ
bracis-28355	196	69	\(n^\prime	\(n^\prime	PROPN
bracis-28355	196	70	\	\	PROPN
bracis-28355	196	71	)	)	PUNCT
bracis-28355	196	72	is	be	AUX
bracis-28355	196	73	the	the	DET
bracis-28355	196	74	number	number	NOUN
bracis-28355	196	75	of	of	ADP
bracis-28355	196	76	said	say	VERB
bracis-28355	196	77	colors	color	NOUN
bracis-28355	196	78	.	.	PUNCT
bracis-28355	197	1	we	we	PRON
bracis-28355	197	2	repeat	repeat	VERB
bracis-28355	197	3	this	this	PRON
bracis-28355	197	4	until	until	SCONJ
bracis-28355	197	5	every	every	DET
bracis-28355	197	6	color	color	NOUN
bracis-28355	197	7	has	have	VERB
bracis-28355	197	8	a	a	DET
bracis-28355	197	9	frequency	frequency	NOUN
bracis-28355	197	10	of	of	ADP
bracis-28355	197	11	at	at	ADV
bracis-28355	197	12	least	least	ADJ
bracis-28355	197	13	\(t_i\	\(t_i\	NOUN
bracis-28355	197	14	)	)	PUNCT
bracis-28355	197	15	.	.	PUNCT
bracis-28355	198	1	the	the	DET
bracis-28355	198	2	remaining	remain	VERB
bracis-28355	198	3	colors	color	NOUN
bracis-28355	198	4	have	have	VERB
bracis-28355	198	5	their	their	PRON
bracis-28355	198	6	\(i_c\	\(i_c\	NUM
bracis-28355	198	7	)	)	PUNCT
bracis-28355	198	8	value	value	NOUN
bracis-28355	198	9	set	set	VERB
bracis-28355	198	10	to	to	ADP
bracis-28355	198	11	\(t_i\	\(t_i\	NOUN
bracis-28355	198	12	)	)	PUNCT
bracis-28355	198	13	.	.	PUNCT
bracis-28355	199	1	by	by	ADP
bracis-28355	199	2	doing	do	VERB
bracis-28355	199	3	this	this	PRON
bracis-28355	199	4	,	,	PUNCT
bracis-28355	199	5	we	we	PRON
bracis-28355	199	6	set	set	VERB
bracis-28355	199	7	realistic	realistic	ADJ
bracis-28355	199	8	ideal	ideal	ADJ
bracis-28355	199	9	values	value	NOUN
bracis-28355	199	10	for	for	ADP
bracis-28355	199	11	each	each	DET
bracis-28355	199	12	class	class	NOUN
bracis-28355	199	13	.	.	PUNCT
bracis-28355	200	1	that	that	PRON
bracis-28355	200	2	is	be	AUX
bracis-28355	200	3	,	,	PUNCT
bracis-28355	200	4	the	the	DET
bracis-28355	200	5	classes	class	NOUN
bracis-28355	200	6	that	that	PRON
bracis-28355	200	7	have	have	VERB
bracis-28355	200	8	a	a	DET
bracis-28355	200	9	frequency	frequency	NOUN
bracis-28355	200	10	lower	low	ADJ
bracis-28355	200	11	than	than	ADP
bracis-28355	200	12	the	the	DET
bracis-28355	200	13	ideal	ideal	NOUN
bracis-28355	200	14	,	,	PUNCT
bracis-28355	200	15	have	have	VERB
bracis-28355	200	16	ideal	ideal	ADJ
bracis-28355	200	17	value	value	NOUN
bracis-28355	200	18	set	set	VERB
bracis-28355	200	19	to	to	ADP
bracis-28355	200	20	their	their	PRON
bracis-28355	200	21	respective	respective	ADJ
bracis-28355	200	22	frequencies	frequency	NOUN
bracis-28355	200	23	because	because	SCONJ
bracis-28355	200	24	the	the	DET
bracis-28355	200	25	solution	solution	NOUN
bracis-28355	200	26	has	have	VERB
bracis-28355	200	27	to	to	PART
bracis-28355	200	28	respect	respect	VERB
bracis-28355	200	29	this	this	DET
bracis-28355	200	30	limitation	limitation	NOUN
bracis-28355	200	31	.	.	PUNCT
bracis-28355	201	1	then	then	ADV
bracis-28355	201	2	,	,	PUNCT
bracis-28355	201	3	the	the	DET
bracis-28355	201	4	remaining	remain	VERB
bracis-28355	201	5	classes	class	NOUN
bracis-28355	201	6	have	have	VERB
bracis-28355	201	7	a	a	DET
bracis-28355	201	8	new	new	ADJ
bracis-28355	201	9	ideal	ideal	ADJ
bracis-28355	201	10	value	value	NOUN
bracis-28355	201	11	that	that	PRON
bracis-28355	201	12	accounts	account	VERB
bracis-28355	201	13	for	for	ADP
bracis-28355	201	14	the	the	DET
bracis-28355	201	15	elements	element	NOUN
bracis-28355	201	16	that	that	PRON
bracis-28355	201	17	are	be	AUX
bracis-28355	201	18	underrepresented	underrepresented	ADJ
bracis-28355	201	19	.	.	PUNCT
bracis-28355	202	1	in	in	ADP
bracis-28355	202	2	our	our	PRON
bracis-28355	202	3	initial	initial	ADJ
bracis-28355	202	4	experiments	experiment	NOUN
bracis-28355	202	5	,	,	PUNCT
bracis-28355	202	6	we	we	PRON
bracis-28355	202	7	noticed	notice	VERB
bracis-28355	202	8	a	a	DET
bracis-28355	202	9	tendency	tendency	NOUN
bracis-28355	202	10	of	of	ADP
bracis-28355	202	11	the	the	DET
bracis-28355	202	12	model	model	NOUN
bracis-28355	202	13	’s	’s	PART
bracis-28355	202	14	solutions	solution	NOUN
bracis-28355	202	15	to	to	PART
bracis-28355	202	16	have	have	AUX
bracis-28355	202	17	a	a	DET
bracis-28355	202	18	discrepancy	discrepancy	NOUN
bracis-28355	202	19	in	in	ADP
bracis-28355	202	20	the	the	DET
bracis-28355	202	21	covering	covering	NOUN
bracis-28355	202	22	when	when	SCONJ
bracis-28355	202	23	considering	consider	VERB
bracis-28355	202	24	the	the	DET
bracis-28355	202	25	combinations	combination	NOUN
bracis-28355	202	26	of	of	ADP
bracis-28355	202	27	the	the	DET
bracis-28355	202	28	attributes	attribute	NOUN
bracis-28355	202	29	.	.	PUNCT
bracis-28355	203	1	in	in	ADP
bracis-28355	203	2	fig	fig	NOUN
bracis-28355	203	3	.	.	PUNCT
bracis-28355	203	4	 	 	SPACE
bracis-28355	203	5	3	3	NUM
bracis-28355	203	6	,	,	PUNCT
bracis-28355	203	7	we	we	PRON
bracis-28355	203	8	show	show	VERB
bracis-28355	203	9	the	the	DET
bracis-28355	203	10	distribution	distribution	NOUN
bracis-28355	203	11	of	of	ADP
bracis-28355	203	12	gender	gender	NOUN
bracis-28355	203	13	(	(	PUNCT
bracis-28355	203	14	fig	fig	NOUN
bracis-28355	203	15	.	.	PUNCT
bracis-28355	203	16	 	 	SPACE
bracis-28355	203	17	3a	3a	NUM
bracis-28355	203	18	)	)	PUNCT
bracis-28355	203	19	and	and	CCONJ
bracis-28355	203	20	race	race	NOUN
bracis-28355	203	21	(	(	PUNCT
bracis-28355	203	22	fig	fig	NOUN
bracis-28355	203	23	.	.	PUNCT
bracis-28355	203	24	 	 	SPACE
bracis-28355	203	25	3b	3b	NUM
bracis-28355	203	26	)	)	PUNCT
bracis-28355	203	27	for	for	ADP
bracis-28355	203	28	each	each	PRON
bracis-28355	203	29	of	of	ADP
bracis-28355	203	30	the	the	DET
bracis-28355	203	31	ages	age	NOUN
bracis-28355	203	32	in	in	ADP
bracis-28355	203	33	the	the	DET
bracis-28355	203	34	training	training	NOUN
bracis-28355	203	35	split	split	NOUN
bracis-28355	203	36	of	of	ADP
bracis-28355	203	37	the	the	DET
bracis-28355	203	38	dataset	dataset	NOUN
bracis-28355	203	39	.	.	PUNCT
bracis-28355	204	1	this	this	DET
bracis-28355	204	2	figure	figure	NOUN
bracis-28355	204	3	considers	consider	VERB
bracis-28355	204	4	that	that	SCONJ
bracis-28355	204	5	the	the	DET
bracis-28355	204	6	parameter	parameter	NOUN
bracis-28355	204	7	k	k	PROPN
bracis-28355	204	8	is	be	AUX
bracis-28355	204	9	set	set	VERB
bracis-28355	204	10	to	to	ADP
bracis-28355	204	11	1000	1000	NUM
bracis-28355	204	12	.	.	PUNCT
bracis-28355	205	1	since	since	SCONJ
bracis-28355	205	2	our	our	PRON
bracis-28355	205	3	model	model	NOUN
bracis-28355	205	4	is	be	AUX
bracis-28355	205	5	considering	consider	VERB
bracis-28355	205	6	only	only	ADV
bracis-28355	205	7	the	the	DET
bracis-28355	205	8	equality	equality	NOUN
bracis-28355	205	9	of	of	ADP
bracis-28355	205	10	each	each	DET
bracis-28355	205	11	attribute	attribute	NOUN
bracis-28355	205	12	separately	separately	ADV
bracis-28355	205	13	,	,	PUNCT
bracis-28355	205	14	we	we	PRON
bracis-28355	205	15	had	have	VERB
bracis-28355	205	16	several	several	ADJ
bracis-28355	205	17	cases	case	NOUN
bracis-28355	205	18	where	where	SCONJ
bracis-28355	205	19	all	all	DET
bracis-28355	205	20	the	the	DET
bracis-28355	205	21	covered	cover	VERB
bracis-28355	205	22	images	image	NOUN
bracis-28355	205	23	of	of	ADP
bracis-28355	205	24	an	an	DET
bracis-28355	205	25	given	give	VERB
bracis-28355	205	26	age	age	NOUN
bracis-28355	205	27	were	be	AUX
bracis-28355	205	28	just	just	ADV
bracis-28355	205	29	from	from	ADP
bracis-28355	205	30	the	the	DET
bracis-28355	205	31	class	class	NOUN
bracis-28355	205	32	male	male	NOUN
bracis-28355	205	33	or	or	CCONJ
bracis-28355	205	34	just	just	ADV
bracis-28355	205	35	the	the	DET
bracis-28355	205	36	class	class	NOUN
bracis-28355	205	37	female	female	NOUN
bracis-28355	205	38	,	,	PUNCT
bracis-28355	205	39	as	as	SCONJ
bracis-28355	205	40	shown	show	VERB
bracis-28355	205	41	in	in	ADP
bracis-28355	205	42	fig	fig	NOUN
bracis-28355	205	43	.	.	PUNCT
bracis-28355	205	44	 	 	SPACE
bracis-28355	205	45	3a	3a	NUM
bracis-28355	205	46	.	.	PUNCT
bracis-28355	206	1	in	in	ADP
bracis-28355	206	2	fig	fig	NOUN
bracis-28355	206	3	.	.	PUNCT
bracis-28355	206	4	 	 	SPACE
bracis-28355	206	5	3b	3b	NUM
bracis-28355	206	6	,	,	PUNCT
bracis-28355	206	7	most	most	ADJ
bracis-28355	206	8	ages	age	NOUN
bracis-28355	206	9	are	be	AUX
bracis-28355	206	10	predominantly	predominantly	ADV
bracis-28355	206	11	from	from	ADP
bracis-28355	206	12	a	a	DET
bracis-28355	206	13	single	single	ADJ
bracis-28355	206	14	race	race	NOUN
bracis-28355	206	15	,	,	PUNCT
bracis-28355	206	16	in	in	ADP
bracis-28355	206	17	special	special	ADJ
bracis-28355	206	18	the	the	DET
bracis-28355	206	19	race	race	NOUN
bracis-28355	206	20	other	other	ADJ
bracis-28355	206	21	is	be	AUX
bracis-28355	206	22	predominant	predominant	ADJ
bracis-28355	206	23	in	in	ADP
bracis-28355	206	24	the	the	DET
bracis-28355	206	25	ages	age	NOUN
bracis-28355	206	26	20	20	NUM
bracis-28355	206	27	 	 	SPACE
bracis-28355	206	28	through	through	ADP
bracis-28355	206	29	 	 	SPACE
bracis-28355	206	30	40	40	NUM
bracis-28355	206	31	.	.	PUNCT
bracis-28355	207	1	fig	fig	NOUN
bracis-28355	207	2	.	.	PUNCT
bracis-28355	208	1	3	3	X
bracis-28355	208	2	.	.	X
bracis-28355	208	3	percentage	percentage	NOUN
bracis-28355	208	4	of	of	ADP
bracis-28355	208	5	gender	gender	NOUN
bracis-28355	208	6	and	and	CCONJ
bracis-28355	208	7	race	race	NOUN
bracis-28355	208	8	in	in	ADP
bracis-28355	208	9	each	each	PRON
bracis-28355	208	10	of	of	ADP
bracis-28355	208	11	age	age	NOUN
bracis-28355	208	12	values	value	NOUN
bracis-28355	208	13	in	in	ADP
bracis-28355	208	14	the	the	DET
bracis-28355	208	15	solution	solution	NOUN
bracis-28355	208	16	given	give	VERB
bracis-28355	208	17	by	by	ADP
bracis-28355	208	18	the	the	DET
bracis-28355	208	19	ilp	ilp	ADJ
bracis-28355	208	20	model	model	NOUN
bracis-28355	208	21	for	for	ADP
bracis-28355	208	22	the	the	DET
bracis-28355	208	23	instance	instance	NOUN
bracis-28355	208	24	with	with	ADP
bracis-28355	208	25	\(k	\(k	NOUN
bracis-28355	208	26	=	=	SYM
bracis-28355	208	27	1000\	1000\	NUM
bracis-28355	208	28	)	)	PUNCT
bracis-28355	208	29	.	.	PUNCT
bracis-28355	209	1	full	full	ADJ
bracis-28355	209	2	size	size	NOUN
bracis-28355	209	3	image	image	NOUN
bracis-28355	209	4	this	this	PRON
bracis-28355	209	5	showed	show	VERB
bracis-28355	209	6	a	a	DET
bracis-28355	209	7	possible	possible	ADJ
bracis-28355	209	8	problem	problem	NOUN
bracis-28355	209	9	for	for	ADP
bracis-28355	209	10	our	our	PRON
bracis-28355	209	11	model	model	NOUN
bracis-28355	209	12	,	,	PUNCT
bracis-28355	209	13	that	that	PRON
bracis-28355	209	14	points	point	VERB
bracis-28355	209	15	towards	towards	ADP
bracis-28355	209	16	a	a	DET
bracis-28355	209	17	necessity	necessity	NOUN
bracis-28355	209	18	to	to	PART
bracis-28355	209	19	consider	consider	VERB
bracis-28355	209	20	also	also	ADV
bracis-28355	209	21	the	the	DET
bracis-28355	209	22	pairings	pairing	NOUN
bracis-28355	209	23	of	of	ADP
bracis-28355	209	24	the	the	DET
bracis-28355	209	25	attributes	attribute	NOUN
bracis-28355	209	26	.	.	PUNCT
bracis-28355	210	1	this	this	DET
bracis-28355	210	2	aspect	aspect	NOUN
bracis-28355	210	3	could	could	AUX
bracis-28355	210	4	be	be	AUX
bracis-28355	210	5	considered	consider	VERB
bracis-28355	210	6	either	either	CCONJ
bracis-28355	210	7	in	in	ADP
bracis-28355	210	8	the	the	DET
bracis-28355	210	9	model	model	NOUN
bracis-28355	210	10	for	for	ADP
bracis-28355	210	11	the	the	DET
bracis-28355	210	12	problem	problem	NOUN
bracis-28355	210	13	or	or	CCONJ
bracis-28355	210	14	in	in	ADP
bracis-28355	210	15	the	the	DET
bracis-28355	210	16	instance	instance	NOUN
bracis-28355	210	17	.	.	PUNCT
bracis-28355	211	1	for	for	ADP
bracis-28355	211	2	example	example	NOUN
bracis-28355	211	3	,	,	PUNCT
bracis-28355	211	4	we	we	PRON
bracis-28355	211	5	could	could	AUX
bracis-28355	211	6	add	add	VERB
bracis-28355	211	7	to	to	ADP
bracis-28355	211	8	model	model	NOUN
bracis-28355	211	9	restrictions	restriction	NOUN
bracis-28355	211	10	that	that	PRON
bracis-28355	211	11	decrease	decrease	VERB
bracis-28355	211	12	the	the	DET
bracis-28355	211	13	difference	difference	NOUN
bracis-28355	211	14	of	of	ADP
bracis-28355	211	15	each	each	DET
bracis-28355	211	16	pair	pair	NOUN
bracis-28355	211	17	formed	form	VERB
bracis-28355	211	18	by	by	ADP
bracis-28355	211	19	one	one	NUM
bracis-28355	211	20	color	color	NOUN
bracis-28355	211	21	from	from	ADP
bracis-28355	211	22	group	group	NOUN
bracis-28355	211	23	\(\mathcal	\(\mathcal	ADJ
bracis-28355	211	24	{	{	PUNCT
bracis-28355	211	25	g}_a\	g}_a\	NOUN
bracis-28355	211	26	)	)	PUNCT
bracis-28355	211	27	and	and	CCONJ
bracis-28355	211	28	one	one	NUM
bracis-28355	211	29	color	color	NOUN
bracis-28355	211	30	from	from	ADP
bracis-28355	211	31	group	group	NOUN
bracis-28355	211	32	\(\mathcal	\(\mathcal	ADJ
bracis-28355	211	33	{	{	PUNCT
bracis-28355	211	34	g}_b\	g}_b\	NOUN
bracis-28355	211	35	)	)	PUNCT
bracis-28355	211	36	.	.	PUNCT
bracis-28355	212	1	we	we	PRON
bracis-28355	212	2	choose	choose	VERB
bracis-28355	212	3	to	to	PART
bracis-28355	212	4	contour	contour	VERB
bracis-28355	212	5	this	this	DET
bracis-28355	212	6	problem	problem	NOUN
bracis-28355	212	7	by	by	ADP
bracis-28355	212	8	inserting	insert	VERB
bracis-28355	212	9	a	a	DET
bracis-28355	212	10	new	new	ADJ
bracis-28355	212	11	element	element	NOUN
bracis-28355	212	12	to	to	ADP
bracis-28355	212	13	each	each	DET
bracis-28355	212	14	set	set	NOUN
bracis-28355	212	15	,	,	PUNCT
bracis-28355	212	16	and	and	CCONJ
bracis-28355	212	17	color	color	VERB
bracis-28355	212	18	it	it	PRON
bracis-28355	212	19	with	with	ADP
bracis-28355	212	20	colors	color	NOUN
bracis-28355	212	21	from	from	ADP
bracis-28355	212	22	a	a	DET
bracis-28355	212	23	fourth	fourth	ADJ
bracis-28355	212	24	group	group	NOUN
bracis-28355	212	25	.	.	PUNCT
bracis-28355	213	1	this	this	DET
bracis-28355	213	2	new	new	ADJ
bracis-28355	213	3	element	element	NOUN
bracis-28355	213	4	was	be	AUX
bracis-28355	213	5	colored	color	VERB
bracis-28355	213	6	based	base	VERB
bracis-28355	213	7	on	on	ADP
bracis-28355	213	8	the	the	DET
bracis-28355	213	9	three	three	NUM
bracis-28355	213	10	original	original	ADJ
bracis-28355	213	11	attributes	attribute	NOUN
bracis-28355	213	12	combined	combine	VERB
bracis-28355	213	13	.	.	PUNCT
bracis-28355	214	1	that	that	PRON
bracis-28355	214	2	is	be	AUX
bracis-28355	214	3	,	,	PUNCT
bracis-28355	214	4	if	if	SCONJ
bracis-28355	214	5	the	the	DET
bracis-28355	214	6	sample	sample	NOUN
bracis-28355	214	7	corresponded	correspond	VERB
bracis-28355	214	8	was	be	AUX
bracis-28355	214	9	annotated	annotate	VERB
bracis-28355	214	10	as	as	ADP
bracis-28355	214	11	\(\{\texttt	\(\{\texttt	NOUN
bracis-28355	214	12	{	{	PUNCT
bracis-28355	214	13	male	male	NOUN
bracis-28355	214	14	}	}	PUNCT
bracis-28355	214	15	,	,	PUNCT
bracis-28355	214	16	\texttt	\texttt	PROPN
bracis-28355	214	17	{	{	PUNCT
bracis-28355	214	18	black	black	PROPN
bracis-28355	214	19	}	}	PUNCT
bracis-28355	214	20	,	,	PUNCT
bracis-28355	214	21	\texttt	\texttt	PROPN
bracis-28355	214	22	{	{	PUNCT
bracis-28355	214	23	3	3	NUM
bracis-28355	214	24	years	year	NOUN
bracis-28355	214	25	old}\}\	old}\}\	PROPN
bracis-28355	214	26	)	)	PUNCT
bracis-28355	214	27	,	,	PUNCT
bracis-28355	214	28	the	the	DET
bracis-28355	214	29	new	new	ADJ
bracis-28355	214	30	element	element	NOUN
bracis-28355	214	31	received	receive	VERB
bracis-28355	214	32	the	the	DET
bracis-28355	214	33	color	color	NOUN
bracis-28355	214	34	c	c	NOUN
bracis-28355	214	35	and	and	CCONJ
bracis-28355	214	36	every	every	DET
bracis-28355	214	37	other	other	ADJ
bracis-28355	214	38	sample	sample	NOUN
bracis-28355	214	39	that	that	PRON
bracis-28355	214	40	had	have	VERB
bracis-28355	214	41	this	this	DET
bracis-28355	214	42	exact	exact	ADJ
bracis-28355	214	43	three	three	NUM
bracis-28355	214	44	characteristics	characteristic	NOUN
bracis-28355	214	45	also	also	ADV
bracis-28355	214	46	received	receive	VERB
bracis-28355	214	47	color	color	NOUN
bracis-28355	214	48	c	c	NOUN
bracis-28355	214	49	in	in	ADP
bracis-28355	214	50	the	the	DET
bracis-28355	214	51	fourth	fourth	ADJ
bracis-28355	214	52	element	element	NOUN
bracis-28355	214	53	.	.	PUNCT
bracis-28355	215	1	note	note	VERB
bracis-28355	215	2	that	that	SCONJ
bracis-28355	215	3	if	if	SCONJ
bracis-28355	215	4	any	any	PRON
bracis-28355	215	5	of	of	ADP
bracis-28355	215	6	the	the	DET
bracis-28355	215	7	three	three	NUM
bracis-28355	215	8	characteristics	characteristic	NOUN
bracis-28355	215	9	is	be	AUX
bracis-28355	215	10	different	different	ADJ
bracis-28355	215	11	,	,	PUNCT
bracis-28355	215	12	the	the	DET
bracis-28355	215	13	color	color	NOUN
bracis-28355	215	14	of	of	ADP
bracis-28355	215	15	the	the	DET
bracis-28355	215	16	fourth	fourth	ADJ
bracis-28355	215	17	element	element	NOUN
bracis-28355	215	18	would	would	AUX
bracis-28355	215	19	also	also	ADV
bracis-28355	215	20	be	be	AUX
bracis-28355	215	21	different	different	ADJ
bracis-28355	215	22	.	.	PUNCT
bracis-28355	216	1	this	this	DET
bracis-28355	216	2	approach	approach	NOUN
bracis-28355	216	3	increases	increase	VERB
bracis-28355	216	4	the	the	DET
bracis-28355	216	5	size	size	NOUN
bracis-28355	216	6	of	of	ADP
bracis-28355	216	7	the	the	DET
bracis-28355	216	8	instance	instance	NOUN
bracis-28355	216	9	,	,	PUNCT
bracis-28355	216	10	since	since	SCONJ
bracis-28355	216	11	the	the	DET
bracis-28355	216	12	new	new	ADJ
bracis-28355	216	13	element	element	NOUN
bracis-28355	216	14	added	add	VERB
bracis-28355	216	15	to	to	ADP
bracis-28355	216	16	each	each	DET
bracis-28355	216	17	set	set	NOUN
bracis-28355	216	18	has	have	VERB
bracis-28355	216	19	the	the	DET
bracis-28355	216	20	potential	potential	NOUN
bracis-28355	216	21	to	to	PART
bracis-28355	216	22	add	add	VERB
bracis-28355	216	23	2	2	NUM
bracis-28355	216	24	genders	gender	NOUN
bracis-28355	216	25	\(\times	\(\time	NOUN
bracis-28355	216	26	5\	5\	NOUN
bracis-28355	216	27	)	)	PUNCT
bracis-28355	216	28	races	race	NOUN
bracis-28355	217	1	\	\	PROPN
bracis-28355	217	2	(	(	PUNCT
bracis-28355	217	3	\times	\times	ADP
bracis-28355	217	4	104	104	NUM
bracis-28355	217	5	\	\	NOUN
bracis-28355	217	6	)	)	PUNCT
bracis-28355	217	7	ages	age	NOUN
bracis-28355	217	8	\	\	PROPN
bracis-28355	218	1	(	(	PUNCT
bracis-28355	218	2	=	=	NOUN
bracis-28355	218	3	1040\	1040\	NUM
bracis-28355	218	4	)	)	PUNCT
bracis-28355	218	5	new	new	ADJ
bracis-28355	218	6	colors	color	NOUN
bracis-28355	218	7	.	.	PUNCT
bracis-28355	219	1	this	this	PRON
bracis-28355	219	2	was	be	AUX
bracis-28355	219	3	not	not	PART
bracis-28355	219	4	the	the	DET
bracis-28355	219	5	case	case	NOUN
bracis-28355	219	6	because	because	SCONJ
bracis-28355	219	7	the	the	DET
bracis-28355	219	8	dataset	dataset	NOUN
bracis-28355	219	9	does	do	AUX
bracis-28355	219	10	not	not	PART
bracis-28355	219	11	have	have	VERB
bracis-28355	219	12	a	a	DET
bracis-28355	219	13	sample	sample	NOUN
bracis-28355	219	14	for	for	ADP
bracis-28355	219	15	each	each	PRON
bracis-28355	219	16	of	of	ADP
bracis-28355	219	17	possible	possible	ADJ
bracis-28355	219	18	triples	triple	NOUN
bracis-28355	219	19	formed	form	VERB
bracis-28355	219	20	by	by	ADP
bracis-28355	219	21	the	the	DET
bracis-28355	219	22	attributes	attribute	NOUN
bracis-28355	219	23	.	.	PUNCT
bracis-28355	220	1	the	the	DET
bracis-28355	220	2	increase	increase	NOUN
bracis-28355	220	3	on	on	ADP
bracis-28355	220	4	the	the	DET
bracis-28355	220	5	instance	instance	NOUN
bracis-28355	220	6	size	size	NOUN
bracis-28355	220	7	(	(	PUNCT
bracis-28355	220	8	more	more	ADJ
bracis-28355	220	9	colors	color	NOUN
bracis-28355	220	10	and	and	CCONJ
bracis-28355	220	11	more	more	ADJ
bracis-28355	220	12	elements	element	NOUN
bracis-28355	220	13	)	)	PUNCT
bracis-28355	220	14	is	be	AUX
bracis-28355	220	15	an	an	DET
bracis-28355	220	16	aspect	aspect	NOUN
bracis-28355	220	17	that	that	PRON
bracis-28355	220	18	can	can	AUX
bracis-28355	220	19	not	not	PART
bracis-28355	220	20	be	be	AUX
bracis-28355	220	21	avoided	avoid	VERB
bracis-28355	220	22	,	,	PUNCT
bracis-28355	220	23	either	either	CCONJ
bracis-28355	220	24	we	we	PRON
bracis-28355	220	25	increase	increase	VERB
bracis-28355	220	26	the	the	DET
bracis-28355	220	27	instance	instance	NOUN
bracis-28355	220	28	or	or	CCONJ
bracis-28355	220	29	increase	increase	VERB
bracis-28355	220	30	the	the	DET
bracis-28355	220	31	number	number	NOUN
bracis-28355	220	32	of	of	ADP
bracis-28355	220	33	restrictions	restriction	NOUN
bracis-28355	220	34	in	in	ADP
bracis-28355	220	35	the	the	DET
bracis-28355	220	36	modeling	modeling	NOUN
bracis-28355	220	37	.	.	PUNCT
bracis-28355	221	1	by	by	ADP
bracis-28355	221	2	creating	create	VERB
bracis-28355	221	3	this	this	DET
bracis-28355	221	4	new	new	ADJ
bracis-28355	221	5	element	element	NOUN
bracis-28355	221	6	we	we	PRON
bracis-28355	221	7	avoid	avoid	VERB
bracis-28355	221	8	modifying	modify	VERB
bracis-28355	221	9	the	the	DET
bracis-28355	221	10	model	model	NOUN
bracis-28355	221	11	and	and	CCONJ
bracis-28355	221	12	the	the	DET
bracis-28355	221	13	problem	problem	NOUN
bracis-28355	221	14	definition	definition	NOUN
bracis-28355	221	15	.	.	PUNCT
bracis-28355	222	1	we	we	PRON
bracis-28355	222	2	note	note	VERB
bracis-28355	222	3	that	that	SCONJ
bracis-28355	222	4	we	we	PRON
bracis-28355	222	5	could	could	AUX
bracis-28355	222	6	also	also	ADV
bracis-28355	222	7	have	have	AUX
bracis-28355	222	8	considered	consider	VERB
bracis-28355	222	9	pairs	pair	NOUN
bracis-28355	222	10	of	of	ADP
bracis-28355	222	11	attributes	attribute	NOUN
bracis-28355	222	12	to	to	PART
bracis-28355	222	13	color	color	VERB
bracis-28355	222	14	new	new	ADJ
bracis-28355	222	15	elements	element	NOUN
bracis-28355	222	16	in	in	ADP
bracis-28355	222	17	the	the	DET
bracis-28355	222	18	set	set	NOUN
bracis-28355	222	19	,	,	PUNCT
bracis-28355	222	20	but	but	CCONJ
bracis-28355	222	21	this	this	PRON
bracis-28355	222	22	would	would	AUX
bracis-28355	222	23	result	result	VERB
bracis-28355	222	24	in	in	ADP
bracis-28355	222	25	a	a	DET
bracis-28355	222	26	much	much	ADV
bracis-28355	222	27	larger	large	ADJ
bracis-28355	222	28	instance	instance	NOUN
bracis-28355	222	29	.	.	PUNCT
bracis-28355	223	1	fig	fig	NOUN
bracis-28355	223	2	.	.	PUNCT
bracis-28355	224	1	4	4	X
bracis-28355	224	2	.	.	X
bracis-28355	224	3	percentage	percentage	NOUN
bracis-28355	224	4	of	of	ADP
bracis-28355	224	5	gender	gender	NOUN
bracis-28355	224	6	and	and	CCONJ
bracis-28355	224	7	race	race	NOUN
bracis-28355	224	8	in	in	ADP
bracis-28355	224	9	each	each	PRON
bracis-28355	224	10	of	of	ADP
bracis-28355	224	11	age	age	NOUN
bracis-28355	224	12	values	value	NOUN
bracis-28355	224	13	in	in	ADP
bracis-28355	224	14	the	the	DET
bracis-28355	224	15	solution	solution	NOUN
bracis-28355	224	16	given	give	VERB
bracis-28355	224	17	by	by	ADP
bracis-28355	224	18	the	the	DET
bracis-28355	224	19	ilp	ilp	ADJ
bracis-28355	224	20	model	model	NOUN
bracis-28355	224	21	for	for	ADP
bracis-28355	224	22	the	the	DET
bracis-28355	224	23	instance	instance	NOUN
bracis-28355	224	24	with	with	ADP
bracis-28355	224	25	\(k	\(k	NOUN
bracis-28355	224	26	=	=	SYM
bracis-28355	224	27	1000\	1000\	NUM
bracis-28355	224	28	)	)	PUNCT
bracis-28355	224	29	after	after	ADP
bracis-28355	224	30	adding	add	VERB
bracis-28355	224	31	the	the	DET
bracis-28355	224	32	fourth	fourth	ADJ
bracis-28355	224	33	element	element	NOUN
bracis-28355	224	34	.	.	PUNCT
bracis-28355	225	1	full	full	ADJ
bracis-28355	225	2	size	size	NOUN
bracis-28355	225	3	image	image	NOUN
bracis-28355	225	4	with	with	ADP
bracis-28355	225	5	these	these	DET
bracis-28355	225	6	modifications	modification	NOUN
bracis-28355	225	7	,	,	PUNCT
bracis-28355	225	8	we	we	PRON
bracis-28355	225	9	executed	execute	VERB
bracis-28355	225	10	the	the	DET
bracis-28355	225	11	model	model	NOUN
bracis-28355	225	12	with	with	ADP
bracis-28355	225	13	the	the	DET
bracis-28355	225	14	new	new	ADJ
bracis-28355	225	15	instances	instance	NOUN
bracis-28355	225	16	and	and	CCONJ
bracis-28355	225	17	we	we	PRON
bracis-28355	225	18	can	can	AUX
bracis-28355	225	19	see	see	VERB
bracis-28355	225	20	the	the	DET
bracis-28355	225	21	impact	impact	NOUN
bracis-28355	225	22	of	of	ADP
bracis-28355	225	23	these	these	DET
bracis-28355	225	24	changes	change	NOUN
bracis-28355	225	25	in	in	ADP
bracis-28355	225	26	fig	fig	NOUN
bracis-28355	225	27	.	.	PUNCT
bracis-28355	225	28	 	 	SPACE
bracis-28355	226	1	4	4	X
bracis-28355	226	2	.	.	PUNCT
bracis-28355	227	1	we	we	PRON
bracis-28355	227	2	now	now	ADV
bracis-28355	227	3	have	have	VERB
bracis-28355	227	4	a	a	DET
bracis-28355	227	5	more	more	ADV
bracis-28355	227	6	even	even	ADJ
bracis-28355	227	7	distribution	distribution	NOUN
bracis-28355	227	8	of	of	ADP
bracis-28355	227	9	the	the	DET
bracis-28355	227	10	both	both	CCONJ
bracis-28355	227	11	gender	gender	NOUN
bracis-28355	227	12	and	and	CCONJ
bracis-28355	227	13	races	race	NOUN
bracis-28355	227	14	in	in	ADP
bracis-28355	227	15	each	each	DET
bracis-28355	227	16	age	age	NOUN
bracis-28355	227	17	.	.	PUNCT
bracis-28355	228	1	it	it	PRON
bracis-28355	228	2	is	be	AUX
bracis-28355	228	3	worth	worth	ADJ
bracis-28355	228	4	noting	note	VERB
bracis-28355	228	5	that	that	SCONJ
bracis-28355	228	6	the	the	DET
bracis-28355	228	7	dataset	dataset	NOUN
bracis-28355	228	8	itself	itself	PRON
bracis-28355	228	9	,	,	PUNCT
bracis-28355	228	10	has	have	VERB
bracis-28355	228	11	some	some	DET
bracis-28355	228	12	gaps	gap	NOUN
bracis-28355	228	13	that	that	PRON
bracis-28355	228	14	will	will	AUX
bracis-28355	228	15	reflect	reflect	VERB
bracis-28355	228	16	in	in	ADP
bracis-28355	228	17	the	the	DET
bracis-28355	228	18	possibility	possibility	NOUN
bracis-28355	228	19	of	of	ADP
bracis-28355	228	20	equality	equality	NOUN
bracis-28355	228	21	in	in	ADP
bracis-28355	228	22	our	our	PRON
bracis-28355	228	23	problem	problem	NOUN
bracis-28355	228	24	.	.	PUNCT
bracis-28355	229	1	for	for	ADP
bracis-28355	229	2	example	example	NOUN
bracis-28355	229	3	,	,	PUNCT
bracis-28355	229	4	the	the	DET
bracis-28355	229	5	samples	sample	NOUN
bracis-28355	229	6	for	for	ADP
bracis-28355	229	7	ages	age	NOUN
bracis-28355	229	8	larger	large	ADJ
bracis-28355	229	9	than	than	ADP
bracis-28355	229	10	100	100	NUM
bracis-28355	229	11	years	year	NOUN
bracis-28355	229	12	are	be	AUX
bracis-28355	229	13	all	all	PRON
bracis-28355	229	14	of	of	ADP
bracis-28355	229	15	female	female	ADJ
bracis-28355	229	16	subjects	subject	NOUN
bracis-28355	229	17	.	.	PUNCT
bracis-28355	230	1	over	over	ADP
bracis-28355	230	2	the	the	DET
bracis-28355	230	3	age	age	NOUN
bracis-28355	230	4	of	of	ADP
bracis-28355	230	5	80	80	NUM
bracis-28355	230	6	 	 	SPACE
bracis-28355	230	7	years	year	NOUN
bracis-28355	230	8	,	,	PUNCT
bracis-28355	230	9	we	we	PRON
bracis-28355	230	10	do	do	AUX
bracis-28355	230	11	not	not	PART
bracis-28355	230	12	have	have	VERB
bracis-28355	230	13	samples	sample	NOUN
bracis-28355	230	14	of	of	ADP
bracis-28355	230	15	the	the	DET
bracis-28355	230	16	race	race	NOUN
bracis-28355	230	17	other	other	ADJ
bracis-28355	230	18	,	,	PUNCT
bracis-28355	230	19	which	which	PRON
bracis-28355	230	20	tends	tend	VERB
bracis-28355	230	21	to	to	PART
bracis-28355	230	22	skew	skew	VERB
bracis-28355	230	23	the	the	DET
bracis-28355	230	24	selection	selection	NOUN
bracis-28355	230	25	of	of	ADP
bracis-28355	230	26	the	the	DET
bracis-28355	230	27	classes	class	NOUN
bracis-28355	230	28	that	that	PRON
bracis-28355	230	29	are	be	AUX
bracis-28355	230	30	present	present	ADJ
bracis-28355	230	31	in	in	ADP
bracis-28355	230	32	these	these	DET
bracis-28355	230	33	ages	age	NOUN
bracis-28355	230	34	.	.	PUNCT
bracis-28355	231	1	that	that	PRON
bracis-28355	231	2	is	be	AUX
bracis-28355	231	3	,	,	PUNCT
bracis-28355	231	4	despite	despite	SCONJ
bracis-28355	231	5	the	the	DET
bracis-28355	231	6	race	race	NOUN
bracis-28355	231	7	white	white	ADJ
bracis-28355	231	8	being	be	AUX
bracis-28355	231	9	the	the	DET
bracis-28355	231	10	most	most	ADV
bracis-28355	231	11	frequent	frequent	ADJ
bracis-28355	231	12	in	in	ADP
bracis-28355	231	13	every	every	DET
bracis-28355	231	14	age	age	NOUN
bracis-28355	231	15	,	,	PUNCT
bracis-28355	231	16	its	its	PRON
bracis-28355	231	17	presence	presence	NOUN
bracis-28355	231	18	becomes	become	VERB
bracis-28355	231	19	more	more	ADV
bracis-28355	231	20	dominant	dominant	ADJ
bracis-28355	231	21	on	on	ADP
bracis-28355	231	22	the	the	DET
bracis-28355	231	23	larger	large	ADJ
bracis-28355	231	24	ages	age	NOUN
bracis-28355	231	25	because	because	SCONJ
bracis-28355	231	26	there	there	PRON
bracis-28355	231	27	are	be	VERB
bracis-28355	231	28	no	no	DET
bracis-28355	231	29	other	other	ADJ
bracis-28355	231	30	options	option	NOUN
bracis-28355	231	31	to	to	PART
bracis-28355	231	32	select	select	VERB
bracis-28355	231	33	the	the	DET
bracis-28355	231	34	sets	set	NOUN
bracis-28355	231	35	and	and	CCONJ
bracis-28355	231	36	also	also	ADV
bracis-28355	231	37	maintain	maintain	VERB
bracis-28355	231	38	the	the	DET
bracis-28355	231	39	aspect	aspect	NOUN
bracis-28355	231	40	of	of	ADP
bracis-28355	231	41	fairness	fairness	NOUN
bracis-28355	231	42	in	in	ADP
bracis-28355	231	43	the	the	DET
bracis-28355	231	44	colors	color	NOUN
bracis-28355	231	45	referent	referent	NOUN
bracis-28355	231	46	to	to	ADP
bracis-28355	231	47	the	the	DET
bracis-28355	231	48	classes	class	NOUN
bracis-28355	231	49	of	of	ADP
bracis-28355	231	50	ages	age	NOUN
bracis-28355	231	51	.	.	PUNCT
bracis-28355	232	1	the	the	DET
bracis-28355	232	2	distribution	distribution	NOUN
bracis-28355	232	3	of	of	ADP
bracis-28355	232	4	each	each	DET
bracis-28355	232	5	attribute	attribute	NOUN
bracis-28355	232	6	in	in	ADP
bracis-28355	232	7	the	the	DET
bracis-28355	232	8	solutions	solution	NOUN
bracis-28355	232	9	given	give	VERB
bracis-28355	232	10	by	by	ADP
bracis-28355	232	11	the	the	DET
bracis-28355	232	12	model	model	NOUN
bracis-28355	232	13	can	can	AUX
bracis-28355	232	14	be	be	AUX
bracis-28355	232	15	seen	see	VERB
bracis-28355	232	16	in	in	ADP
bracis-28355	232	17	fig	fig	NOUN
bracis-28355	232	18	.	.	PUNCT
bracis-28355	232	19	 	 	SPACE
bracis-28355	233	1	5	5	NUM
bracis-28355	233	2	.	.	PUNCT
bracis-28355	234	1	the	the	DET
bracis-28355	234	2	first	first	ADJ
bracis-28355	234	3	two	two	NUM
bracis-28355	234	4	graphs	graph	NOUN
bracis-28355	234	5	show	show	VERB
bracis-28355	234	6	the	the	DET
bracis-28355	234	7	frequency	frequency	NOUN
bracis-28355	234	8	of	of	ADP
bracis-28355	234	9	the	the	DET
bracis-28355	234	10	elements	element	NOUN
bracis-28355	234	11	of	of	ADP
bracis-28355	234	12	each	each	DET
bracis-28355	234	13	class	class	NOUN
bracis-28355	234	14	that	that	PRON
bracis-28355	234	15	were	be	AUX
bracis-28355	234	16	covered	cover	VERB
bracis-28355	234	17	in	in	ADP
bracis-28355	234	18	the	the	DET
bracis-28355	234	19	solution	solution	NOUN
bracis-28355	234	20	.	.	PUNCT
bracis-28355	235	1	in	in	ADP
bracis-28355	235	2	fig	fig	NOUN
bracis-28355	235	3	.	.	PUNCT
bracis-28355	235	4	 	 	SPACE
bracis-28355	235	5	5a	5a	NUM
bracis-28355	235	6	,	,	PUNCT
bracis-28355	235	7	the	the	DET
bracis-28355	235	8	values	value	NOUN
bracis-28355	235	9	for	for	ADP
bracis-28355	235	10	the	the	DET
bracis-28355	235	11	gender	gender	NOUN
bracis-28355	235	12	are	be	AUX
bracis-28355	235	13	very	very	ADV
bracis-28355	235	14	close	close	ADJ
bracis-28355	235	15	to	to	ADP
bracis-28355	235	16	the	the	DET
bracis-28355	235	17	ideal	ideal	NOUN
bracis-28355	235	18	for	for	ADP
bracis-28355	235	19	each	each	PRON
bracis-28355	235	20	of	of	ADP
bracis-28355	235	21	the	the	DET
bracis-28355	235	22	values	value	NOUN
bracis-28355	235	23	of	of	ADP
bracis-28355	235	24	k	k	NOUN
bracis-28355	235	25	,	,	PUNCT
bracis-28355	235	26	meaning	mean	VERB
bracis-28355	235	27	that	that	SCONJ
bracis-28355	235	28	for	for	ADP
bracis-28355	235	29	this	this	DET
bracis-28355	235	30	attribute	attribute	NOUN
bracis-28355	235	31	the	the	DET
bracis-28355	235	32	model	model	NOUN
bracis-28355	235	33	found	find	VERB
bracis-28355	235	34	a	a	DET
bracis-28355	235	35	near	near	ADV
bracis-28355	235	36	perfectly	perfectly	ADV
bracis-28355	235	37	fair	fair	ADJ
bracis-28355	235	38	solution	solution	NOUN
bracis-28355	235	39	.	.	PUNCT
bracis-28355	236	1	now	now	ADV
bracis-28355	236	2	,	,	PUNCT
bracis-28355	236	3	in	in	ADP
bracis-28355	236	4	figs	fig	NOUN
bracis-28355	236	5	.	.	PUNCT
bracis-28355	236	6	 	 	SPACE
bracis-28355	236	7	5b	5b	NOUN
bracis-28355	236	8	and	and	CCONJ
bracis-28355	236	9	 	 	SPACE
bracis-28355	236	10	5c	5c	NOUN
bracis-28355	236	11	,	,	PUNCT
bracis-28355	236	12	we	we	PRON
bracis-28355	236	13	start	start	VERB
bracis-28355	236	14	to	to	PART
bracis-28355	236	15	see	see	VERB
bracis-28355	236	16	small	small	ADJ
bracis-28355	236	17	variations	variation	NOUN
bracis-28355	236	18	on	on	ADP
bracis-28355	236	19	the	the	DET
bracis-28355	236	20	number	number	NOUN
bracis-28355	236	21	of	of	ADP
bracis-28355	236	22	covered	cover	VERB
bracis-28355	236	23	elements	element	NOUN
bracis-28355	236	24	of	of	ADP
bracis-28355	236	25	each	each	DET
bracis-28355	236	26	age	age	NOUN
bracis-28355	236	27	and	and	CCONJ
bracis-28355	236	28	class	class	NOUN
bracis-28355	236	29	of	of	ADP
bracis-28355	236	30	race	race	NOUN
bracis-28355	236	31	.	.	PUNCT
bracis-28355	237	1	such	such	ADJ
bracis-28355	237	2	variations	variation	NOUN
bracis-28355	237	3	are	be	AUX
bracis-28355	237	4	accentuated	accentuate	VERB
bracis-28355	237	5	when	when	SCONJ
bracis-28355	237	6	k	k	PROPN
bracis-28355	237	7	is	be	AUX
bracis-28355	237	8	larger	large	ADJ
bracis-28355	237	9	,	,	PUNCT
bracis-28355	237	10	as	as	SCONJ
bracis-28355	237	11	expected	expect	VERB
bracis-28355	237	12	,	,	PUNCT
bracis-28355	237	13	because	because	SCONJ
bracis-28355	237	14	the	the	DET
bracis-28355	237	15	least	least	ADJ
bracis-28355	237	16	common	common	ADJ
bracis-28355	237	17	attributes	attribute	NOUN
bracis-28355	237	18	will	will	AUX
bracis-28355	237	19	reach	reach	VERB
bracis-28355	237	20	their	their	PRON
bracis-28355	237	21	limits	limit	NOUN
bracis-28355	237	22	.	.	PUNCT
bracis-28355	238	1	it	it	PRON
bracis-28355	238	2	is	be	AUX
bracis-28355	238	3	worth	worth	ADJ
bracis-28355	238	4	noting	note	VERB
bracis-28355	238	5	that	that	SCONJ
bracis-28355	238	6	the	the	DET
bracis-28355	238	7	solutions	solution	NOUN
bracis-28355	238	8	obtained	obtain	VERB
bracis-28355	238	9	by	by	ADP
bracis-28355	238	10	the	the	DET
bracis-28355	238	11	ilp	ilp	ADJ
bracis-28355	238	12	model	model	NOUN
bracis-28355	238	13	are	be	AUX
bracis-28355	238	14	optimal	optimal	ADJ
bracis-28355	238	15	solutions	solution	NOUN
bracis-28355	238	16	.	.	PUNCT
bracis-28355	239	1	there	there	PRON
bracis-28355	239	2	was	be	VERB
bracis-28355	239	3	a	a	DET
bracis-28355	239	4	time	time	NOUN
bracis-28355	239	5	limit	limit	NOUN
bracis-28355	239	6	of	of	ADP
bracis-28355	239	7	30	30	NUM
bracis-28355	239	8	 	 	SPACE
bracis-28355	239	9	min	min	NOUN
bracis-28355	239	10	for	for	ADP
bracis-28355	239	11	the	the	DET
bracis-28355	239	12	executions	execution	NOUN
bracis-28355	239	13	of	of	ADP
bracis-28355	239	14	these	these	DET
bracis-28355	239	15	experiments	experiment	NOUN
bracis-28355	239	16	,	,	PUNCT
bracis-28355	239	17	but	but	CCONJ
bracis-28355	239	18	this	this	DET
bracis-28355	239	19	limit	limit	NOUN
bracis-28355	239	20	was	be	AUX
bracis-28355	239	21	never	never	ADV
bracis-28355	239	22	reached	reach	VERB
bracis-28355	239	23	.	.	PUNCT
bracis-28355	240	1	all	all	DET
bracis-28355	240	2	instances	instance	NOUN
bracis-28355	240	3	finished	finish	VERB
bracis-28355	240	4	execution	execution	NOUN
bracis-28355	240	5	within	within	ADP
bracis-28355	240	6	a	a	DET
bracis-28355	240	7	few	few	ADJ
bracis-28355	240	8	seconds	second	NOUN
bracis-28355	240	9	,	,	PUNCT
bracis-28355	240	10	even	even	ADV
bracis-28355	240	11	after	after	ADP
bracis-28355	240	12	increasing	increase	VERB
bracis-28355	240	13	the	the	DET
bracis-28355	240	14	size	size	NOUN
bracis-28355	240	15	of	of	ADP
bracis-28355	240	16	the	the	DET
bracis-28355	240	17	instance	instance	NOUN
bracis-28355	240	18	with	with	ADP
bracis-28355	240	19	the	the	DET
bracis-28355	240	20	addition	addition	NOUN
bracis-28355	240	21	of	of	ADP
bracis-28355	240	22	the	the	DET
bracis-28355	240	23	fourth	fourth	ADJ
bracis-28355	240	24	element	element	NOUN
bracis-28355	240	25	to	to	ADP
bracis-28355	240	26	each	each	DET
bracis-28355	240	27	set	set	NOUN
bracis-28355	240	28	.	.	PUNCT
bracis-28355	241	1	fig	fig	NOUN
bracis-28355	241	2	.	.	PUNCT
bracis-28355	242	1	5	5	X
bracis-28355	242	2	.	.	X
bracis-28355	242	3	frequency	frequency	NOUN
bracis-28355	242	4	of	of	ADP
bracis-28355	242	5	the	the	DET
bracis-28355	242	6	attributes	attribute	NOUN
bracis-28355	242	7	in	in	ADP
bracis-28355	242	8	the	the	DET
bracis-28355	242	9	fair	fair	ADJ
bracis-28355	242	10	cover	cover	NOUN
bracis-28355	242	11	given	give	VERB
bracis-28355	242	12	by	by	ADP
bracis-28355	242	13	the	the	DET
bracis-28355	242	14	ilp	ilp	ADJ
bracis-28355	242	15	model	model	NOUN
bracis-28355	242	16	for	for	ADP
bracis-28355	242	17	each	each	PRON
bracis-28355	242	18	of	of	ADP
bracis-28355	242	19	the	the	DET
bracis-28355	242	20	sizes	size	NOUN
bracis-28355	242	21	of	of	ADP
bracis-28355	242	22	the	the	DET
bracis-28355	242	23	parameter	parameter	NOUN
bracis-28355	242	24	k.	k.	PROPN
bracis-28355	243	1	full	full	ADJ
bracis-28355	243	2	size	size	NOUN
bracis-28355	243	3	image	image	NOUN
bracis-28355	243	4	3.3	3.3	NUM
bracis-28355	243	5	age	age	NOUN
bracis-28355	243	6	regression	regression	NOUN
bracis-28355	243	7	results	result	NOUN
bracis-28355	243	8	based	base	VERB
bracis-28355	243	9	on	on	ADP
bracis-28355	243	10	the	the	DET
bracis-28355	243	11	fair	fair	ADJ
bracis-28355	243	12	subsets	subset	NOUN
bracis-28355	243	13	generated	generate	VERB
bracis-28355	243	14	by	by	ADP
bracis-28355	243	15	ilp	ilp	NOUN
bracis-28355	243	16	model	model	NOUN
bracis-28355	243	17	,	,	PUNCT
bracis-28355	243	18	we	we	PRON
bracis-28355	243	19	ran	run	VERB
bracis-28355	243	20	each	each	DET
bracis-28355	243	21	experiment	experiment	NOUN
bracis-28355	243	22	for	for	ADP
bracis-28355	243	23	the	the	DET
bracis-28355	243	24	regression	regression	NOUN
bracis-28355	243	25	task	task	NOUN
bracis-28355	243	26	.	.	PUNCT
bracis-28355	244	1	we	we	PRON
bracis-28355	244	2	also	also	ADV
bracis-28355	244	3	ran	run	VERB
bracis-28355	244	4	experiments	experiment	NOUN
bracis-28355	244	5	for	for	ADP
bracis-28355	244	6	a	a	DET
bracis-28355	244	7	random	random	ADJ
bracis-28355	244	8	selection	selection	NOUN
bracis-28355	244	9	of	of	ADP
bracis-28355	244	10	the	the	DET
bracis-28355	244	11	images	image	NOUN
bracis-28355	244	12	,	,	PUNCT
bracis-28355	244	13	considering	consider	VERB
bracis-28355	244	14	the	the	DET
bracis-28355	244	15	same	same	ADJ
bracis-28355	244	16	size	size	NOUN
bracis-28355	244	17	of	of	ADP
bracis-28355	244	18	each	each	DET
bracis-28355	244	19	fair	fair	ADJ
bracis-28355	244	20	set	set	NOUN
bracis-28355	244	21	.	.	PUNCT
bracis-28355	245	1	for	for	ADP
bracis-28355	245	2	each	each	DET
bracis-28355	245	3	experiment	experiment	NOUN
bracis-28355	245	4	,	,	PUNCT
bracis-28355	245	5	we	we	PRON
bracis-28355	245	6	executed	execute	VERB
bracis-28355	245	7	five	five	NUM
bracis-28355	245	8	runs	run	NOUN
bracis-28355	245	9	and	and	CCONJ
bracis-28355	245	10	compared	compare	VERB
bracis-28355	245	11	the	the	DET
bracis-28355	245	12	mean	mean	ADJ
bracis-28355	245	13	value	value	NOUN
bracis-28355	245	14	of	of	ADP
bracis-28355	245	15	each	each	DET
bracis-28355	245	16	configuration	configuration	NOUN
bracis-28355	245	17	.	.	PUNCT
bracis-28355	246	1	in	in	ADP
bracis-28355	246	2	our	our	PRON
bracis-28355	246	3	first	first	ADJ
bracis-28355	246	4	analysis	analysis	NOUN
bracis-28355	246	5	,	,	PUNCT
bracis-28355	246	6	we	we	PRON
bracis-28355	246	7	evaluated	evaluate	VERB
bracis-28355	246	8	fair	fair	ADJ
bracis-28355	246	9	and	and	CCONJ
bracis-28355	246	10	random	random	ADJ
bracis-28355	246	11	sets	set	NOUN
bracis-28355	246	12	for	for	ADP
bracis-28355	246	13	each	each	DET
bracis-28355	246	14	size	size	NOUN
bracis-28355	246	15	considering	consider	VERB
bracis-28355	246	16	bmae	bmae	VERB
bracis-28355	246	17	metric	metric	ADJ
bracis-28355	246	18	.	.	PUNCT
bracis-28355	247	1	table	table	NOUN
bracis-28355	247	2	 	 	SPACE
bracis-28355	247	3	2	2	NUM
bracis-28355	247	4	presents	present	VERB
bracis-28355	247	5	the	the	DET
bracis-28355	247	6	results	result	NOUN
bracis-28355	247	7	,	,	PUNCT
bracis-28355	247	8	showing	show	VERB
bracis-28355	247	9	that	that	DET
bracis-28355	247	10	fair	fair	ADV
bracis-28355	247	11	achieved	achieve	VERB
bracis-28355	247	12	the	the	DET
bracis-28355	247	13	best	good	ADJ
bracis-28355	247	14	outcomes	outcome	NOUN
bracis-28355	247	15	of	of	ADP
bracis-28355	247	16	each	each	DET
bracis-28355	247	17	size	size	NOUN
bracis-28355	247	18	.	.	PUNCT
bracis-28355	248	1	we	we	PRON
bracis-28355	248	2	can	can	AUX
bracis-28355	248	3	highlight	highlight	VERB
bracis-28355	248	4	that	that	DET
bracis-28355	248	5	fair	fair	ADJ
bracis-28355	248	6	selection	selection	NOUN
bracis-28355	248	7	outperformed	outperform	VERB
bracis-28355	248	8	random	random	ADJ
bracis-28355	248	9	selection	selection	NOUN
bracis-28355	248	10	on	on	ADP
bracis-28355	248	11	smallest	small	ADJ
bracis-28355	248	12	sets	set	NOUN
bracis-28355	248	13	,	,	PUNCT
bracis-28355	248	14	with	with	ADP
bracis-28355	248	15	the	the	DET
bracis-28355	248	16	difference	difference	NOUN
bracis-28355	248	17	of	of	ADP
bracis-28355	248	18	more	more	ADJ
bracis-28355	248	19	than	than	ADP
bracis-28355	248	20	2	2	NUM
bracis-28355	248	21	 	 	SPACE
bracis-28355	248	22	years	year	NOUN
bracis-28355	248	23	on	on	ADP
bracis-28355	248	24	1000	1000	NUM
bracis-28355	248	25	set	set	VERB
bracis-28355	248	26	and	and	CCONJ
bracis-28355	248	27	more	more	ADJ
bracis-28355	248	28	than	than	ADP
bracis-28355	248	29	1	1	NUM
bracis-28355	248	30	 	 	SPACE
bracis-28355	248	31	year	year	NOUN
bracis-28355	248	32	on	on	ADP
bracis-28355	248	33	2000	2000	NUM
bracis-28355	248	34	and	and	CCONJ
bracis-28355	248	35	5000	5000	NUM
bracis-28355	248	36	sets	set	NOUN
bracis-28355	248	37	on	on	ADP
bracis-28355	248	38	average	average	NOUN
bracis-28355	248	39	for	for	ADP
bracis-28355	248	40	each	each	DET
bracis-28355	248	41	age	age	NOUN
bracis-28355	248	42	.	.	PUNCT
bracis-28355	249	1	table	table	NOUN
bracis-28355	249	2	2	2	NUM
bracis-28355	249	3	.	.	PUNCT
bracis-28355	249	4	comparison	comparison	NOUN
bracis-28355	249	5	of	of	ADP
bracis-28355	249	6	random	random	ADJ
bracis-28355	249	7	and	and	CCONJ
bracis-28355	249	8	fair	fair	ADJ
bracis-28355	249	9	selections	selection	NOUN
bracis-28355	249	10	considering	consider	VERB
bracis-28355	249	11	bmae	bmae	NOUN
bracis-28355	249	12	for	for	ADP
bracis-28355	249	13	each	each	DET
bracis-28355	249	14	training	training	NOUN
bracis-28355	249	15	set	set	VERB
bracis-28355	249	16	size.full	size.full	ADJ
bracis-28355	249	17	size	size	NOUN
bracis-28355	249	18	table	table	NOUN
bracis-28355	249	19	the	the	DET
bracis-28355	249	20	average	average	ADJ
bracis-28355	249	21	error	error	NOUN
bracis-28355	249	22	for	for	ADP
bracis-28355	249	23	each	each	DET
bracis-28355	249	24	age	age	NOUN
bracis-28355	249	25	of	of	ADP
bracis-28355	249	26	fair	fair	ADJ
bracis-28355	249	27	selection	selection	NOUN
bracis-28355	249	28	based	base	VERB
bracis-28355	249	29	on	on	ADP
bracis-28355	249	30	ilp	ilp	ADJ
bracis-28355	249	31	model	model	NOUN
bracis-28355	249	32	is	be	AUX
bracis-28355	249	33	lower	low	ADJ
bracis-28355	249	34	than	than	ADP
bracis-28355	249	35	random	random	ADJ
bracis-28355	249	36	selection	selection	NOUN
bracis-28355	249	37	,	,	PUNCT
bracis-28355	249	38	as	as	SCONJ
bracis-28355	249	39	shown	show	VERB
bracis-28355	249	40	in	in	ADP
bracis-28355	249	41	fig	fig	NOUN
bracis-28355	249	42	.	.	PUNCT
bracis-28355	249	43	 	 	SPACE
bracis-28355	250	1	6	6	NUM
bracis-28355	250	2	.	.	PUNCT
bracis-28355	251	1	the	the	DET
bracis-28355	251	2	fair	fair	ADJ
bracis-28355	251	3	selection	selection	NOUN
bracis-28355	251	4	achieved	achieve	VERB
bracis-28355	251	5	the	the	DET
bracis-28355	251	6	lowest	low	ADJ
bracis-28355	251	7	errors	error	NOUN
bracis-28355	251	8	on	on	ADP
bracis-28355	251	9	ages	age	NOUN
bracis-28355	251	10	with	with	ADP
bracis-28355	251	11	more	more	ADJ
bracis-28355	251	12	than	than	ADP
bracis-28355	251	13	80	80	NUM
bracis-28355	251	14	 	 	SPACE
bracis-28355	251	15	years	year	NOUN
bracis-28355	251	16	on	on	ADP
bracis-28355	251	17	sets	set	NOUN
bracis-28355	251	18	with	with	ADP
bracis-28355	251	19	a	a	DET
bracis-28355	251	20	limited	limited	ADJ
bracis-28355	251	21	number	number	NOUN
bracis-28355	251	22	of	of	ADP
bracis-28355	251	23	images	image	NOUN
bracis-28355	251	24	,	,	PUNCT
bracis-28355	251	25	which	which	PRON
bracis-28355	251	26	are	be	AUX
bracis-28355	251	27	the	the	DET
bracis-28355	251	28	ages	age	NOUN
bracis-28355	251	29	with	with	ADP
bracis-28355	251	30	less	less	ADJ
bracis-28355	251	31	number	number	NOUN
bracis-28355	251	32	of	of	ADP
bracis-28355	251	33	samples	sample	NOUN
bracis-28355	251	34	on	on	ADP
bracis-28355	251	35	the	the	DET
bracis-28355	251	36	dataset	dataset	NOUN
bracis-28355	251	37	.	.	PUNCT
bracis-28355	252	1	fig	fig	NOUN
bracis-28355	252	2	.	.	PUNCT
bracis-28355	253	1	6	6	NUM
bracis-28355	253	2	.	.	X
bracis-28355	253	3	comparison	comparison	NOUN
bracis-28355	253	4	of	of	ADP
bracis-28355	253	5	random	random	ADJ
bracis-28355	253	6	and	and	CCONJ
bracis-28355	253	7	fair	fair	ADJ
bracis-28355	253	8	selections	selection	NOUN
bracis-28355	253	9	considering	consider	VERB
bracis-28355	253	10	bmae	bmae	NOUN
bracis-28355	253	11	per	per	ADP
bracis-28355	253	12	age	age	NOUN
bracis-28355	253	13	.	.	PUNCT
bracis-28355	254	1	full	full	ADJ
bracis-28355	254	2	size	size	NOUN
bracis-28355	254	3	image	image	NOUN
bracis-28355	254	4	then	then	ADV
bracis-28355	254	5	,	,	PUNCT
bracis-28355	254	6	we	we	PRON
bracis-28355	254	7	assessed	assess	VERB
bracis-28355	254	8	ilp	ilp	ADJ
bracis-28355	254	9	fair	fair	ADJ
bracis-28355	254	10	and	and	CCONJ
bracis-28355	254	11	random	random	ADJ
bracis-28355	254	12	sets	set	NOUN
bracis-28355	254	13	considering	consider	VERB
bracis-28355	254	14	gender	gender	NOUN
bracis-28355	254	15	and	and	CCONJ
bracis-28355	254	16	race	race	NOUN
bracis-28355	254	17	classes	class	NOUN
bracis-28355	254	18	.	.	PUNCT
bracis-28355	255	1	to	to	PART
bracis-28355	255	2	do	do	VERB
bracis-28355	255	3	so	so	ADV
bracis-28355	255	4	,	,	PUNCT
bracis-28355	255	5	we	we	PRON
bracis-28355	255	6	filtered	filter	VERB
bracis-28355	255	7	images	image	NOUN
bracis-28355	255	8	from	from	ADP
bracis-28355	255	9	the	the	DET
bracis-28355	255	10	condition	condition	NOUN
bracis-28355	255	11	in	in	ADP
bracis-28355	255	12	analysis	analysis	NOUN
bracis-28355	255	13	,	,	PUNCT
bracis-28355	255	14	e.g.	e.g.	ADV
bracis-28355	255	15	,	,	PUNCT
bracis-28355	255	16	images	image	NOUN
bracis-28355	255	17	of	of	ADP
bracis-28355	255	18	gender	gender	NOUN
bracis-28355	255	19	male	male	NOUN
bracis-28355	255	20	,	,	PUNCT
bracis-28355	255	21	and	and	CCONJ
bracis-28355	255	22	evaluated	evaluate	VERB
bracis-28355	255	23	using	use	VERB
bracis-28355	255	24	bmae	bmae	NOUN
bracis-28355	255	25	.	.	PUNCT
bracis-28355	256	1	table	table	NOUN
bracis-28355	256	2	 	 	SPACE
bracis-28355	256	3	3	3	NUM
bracis-28355	256	4	presents	present	VERB
bracis-28355	256	5	the	the	DET
bracis-28355	256	6	outcomes	outcome	NOUN
bracis-28355	256	7	of	of	ADP
bracis-28355	256	8	each	each	DET
bracis-28355	256	9	selection	selection	NOUN
bracis-28355	256	10	approaches	approach	NOUN
bracis-28355	256	11	.	.	PUNCT
bracis-28355	257	1	concerning	concern	VERB
bracis-28355	257	2	gender	gender	NOUN
bracis-28355	257	3	,	,	PUNCT
bracis-28355	257	4	the	the	DET
bracis-28355	257	5	fair	fair	ADJ
bracis-28355	257	6	set	set	NOUN
bracis-28355	257	7	obtained	obtain	VERB
bracis-28355	257	8	the	the	DET
bracis-28355	257	9	lowest	low	ADJ
bracis-28355	257	10	errors	error	NOUN
bracis-28355	257	11	on	on	ADP
bracis-28355	257	12	all	all	DET
bracis-28355	257	13	the	the	DET
bracis-28355	257	14	four	four	NUM
bracis-28355	257	15	training	training	NOUN
bracis-28355	257	16	sizes	size	NOUN
bracis-28355	257	17	against	against	ADP
bracis-28355	257	18	random	random	ADJ
bracis-28355	257	19	selection	selection	NOUN
bracis-28355	257	20	,	,	PUNCT
bracis-28355	257	21	with	with	ADP
bracis-28355	257	22	the	the	DET
bracis-28355	257	23	highest	high	ADJ
bracis-28355	257	24	difference	difference	NOUN
bracis-28355	257	25	on	on	ADP
bracis-28355	257	26	training	training	NOUN
bracis-28355	257	27	set	set	VERB
bracis-28355	257	28	with	with	ADP
bracis-28355	257	29	1000	1000	NUM
bracis-28355	257	30	images	image	NOUN
bracis-28355	257	31	.	.	PUNCT
bracis-28355	258	1	table	table	NOUN
bracis-28355	258	2	3	3	NUM
bracis-28355	258	3	.	.	PUNCT
bracis-28355	258	4	comparison	comparison	NOUN
bracis-28355	258	5	of	of	ADP
bracis-28355	258	6	random	random	ADJ
bracis-28355	258	7	and	and	CCONJ
bracis-28355	258	8	fair	fair	ADJ
bracis-28355	258	9	selections	selection	NOUN
bracis-28355	258	10	for	for	ADP
bracis-28355	258	11	gender	gender	NOUN
bracis-28355	258	12	and	and	CCONJ
bracis-28355	258	13	race	race	NOUN
bracis-28355	258	14	considering	consider	VERB
bracis-28355	258	15	bmae	bmae	NOUN
bracis-28355	258	16	for	for	ADP
bracis-28355	258	17	each	each	DET
bracis-28355	258	18	training	training	NOUN
bracis-28355	258	19	set	set	VERB
bracis-28355	258	20	size.full	size.full	ADJ
bracis-28355	258	21	size	size	NOUN
bracis-28355	258	22	table	table	NOUN
bracis-28355	258	23	considering	consider	VERB
bracis-28355	258	24	race	race	NOUN
bracis-28355	258	25	,	,	PUNCT
bracis-28355	258	26	fair	fair	ADJ
bracis-28355	258	27	selection	selection	NOUN
bracis-28355	258	28	also	also	ADV
bracis-28355	258	29	presented	present	VERB
bracis-28355	258	30	best	good	ADJ
bracis-28355	258	31	outcomes	outcome	NOUN
bracis-28355	258	32	compared	compare	VERB
bracis-28355	258	33	to	to	ADP
bracis-28355	258	34	random	random	ADJ
bracis-28355	258	35	selection	selection	NOUN
bracis-28355	258	36	in	in	ADP
bracis-28355	258	37	all	all	DET
bracis-28355	258	38	the	the	DET
bracis-28355	258	39	classes	class	NOUN
bracis-28355	258	40	for	for	ADP
bracis-28355	258	41	each	each	DET
bracis-28355	258	42	training	training	NOUN
bracis-28355	258	43	set	set	VERB
bracis-28355	258	44	size	size	NOUN
bracis-28355	258	45	for	for	ADP
bracis-28355	258	46	k	k	X
bracis-28355	258	47	greater	great	ADJ
bracis-28355	258	48	than	than	ADP
bracis-28355	258	49	2000	2000	NUM
bracis-28355	258	50	,	,	PUNCT
bracis-28355	258	51	and	and	CCONJ
bracis-28355	258	52	the	the	DET
bracis-28355	258	53	best	good	ADJ
bracis-28355	258	54	results	result	NOUN
bracis-28355	258	55	for	for	ADP
bracis-28355	258	56	most	most	ADJ
bracis-28355	258	57	of	of	ADP
bracis-28355	258	58	the	the	DET
bracis-28355	258	59	classes	class	NOUN
bracis-28355	258	60	on	on	ADP
bracis-28355	258	61	k	k	X
bracis-28355	258	62	equal	equal	ADJ
bracis-28355	258	63	to	to	ADP
bracis-28355	258	64	1000	1000	NUM
bracis-28355	258	65	.	.	PUNCT
bracis-28355	259	1	for	for	ADP
bracis-28355	259	2	white	white	ADJ
bracis-28355	259	3	,	,	PUNCT
bracis-28355	259	4	black	black	ADJ
bracis-28355	259	5	,	,	PUNCT
bracis-28355	259	6	asian	asian	ADJ
bracis-28355	259	7	,	,	PUNCT
bracis-28355	259	8	and	and	CCONJ
bracis-28355	259	9	indian	indian	ADJ
bracis-28355	259	10	classes	class	NOUN
bracis-28355	259	11	,	,	PUNCT
bracis-28355	259	12	which	which	PRON
bracis-28355	259	13	are	be	AUX
bracis-28355	259	14	the	the	DET
bracis-28355	259	15	four	four	NUM
bracis-28355	259	16	most	most	ADV
bracis-28355	259	17	frequent	frequent	ADJ
bracis-28355	259	18	ones	one	NOUN
bracis-28355	259	19	,	,	PUNCT
bracis-28355	259	20	the	the	DET
bracis-28355	259	21	highest	high	ADJ
bracis-28355	259	22	difference	difference	NOUN
bracis-28355	259	23	of	of	ADP
bracis-28355	259	24	fair	fair	ADJ
bracis-28355	259	25	and	and	CCONJ
bracis-28355	259	26	random	random	ADJ
bracis-28355	259	27	selections	selection	NOUN
bracis-28355	259	28	occurred	occur	VERB
bracis-28355	259	29	on	on	ADP
bracis-28355	259	30	the	the	DET
bracis-28355	259	31	smallest	small	ADJ
bracis-28355	259	32	training	training	NOUN
bracis-28355	259	33	set	set	NOUN
bracis-28355	259	34	,	,	PUNCT
bracis-28355	259	35	that	that	ADV
bracis-28355	259	36	is	is	ADV
bracis-28355	259	37	,	,	PUNCT
bracis-28355	259	38	set	set	VERB
bracis-28355	259	39	with	with	ADP
bracis-28355	259	40	size	size	NOUN
bracis-28355	259	41	equal	equal	ADJ
bracis-28355	259	42	to	to	ADP
bracis-28355	259	43	1000	1000	NUM
bracis-28355	259	44	,	,	PUNCT
bracis-28355	259	45	and	and	CCONJ
bracis-28355	259	46	the	the	DET
bracis-28355	259	47	difference	difference	NOUN
bracis-28355	259	48	decreases	decrease	VERB
bracis-28355	259	49	considering	consider	VERB
bracis-28355	259	50	the	the	DET
bracis-28355	259	51	size	size	NOUN
bracis-28355	259	52	of	of	ADP
bracis-28355	259	53	the	the	DET
bracis-28355	259	54	training	training	NOUN
bracis-28355	259	55	size	size	NOUN
bracis-28355	259	56	.	.	PUNCT
bracis-28355	260	1	for	for	ADP
bracis-28355	260	2	other	other	ADJ
bracis-28355	260	3	,	,	PUNCT
bracis-28355	260	4	which	which	PRON
bracis-28355	260	5	is	be	AUX
bracis-28355	260	6	the	the	DET
bracis-28355	260	7	least	least	ADJ
bracis-28355	260	8	frequent	frequent	ADJ
bracis-28355	260	9	class	class	NOUN
bracis-28355	260	10	,	,	PUNCT
bracis-28355	260	11	the	the	DET
bracis-28355	260	12	difference	difference	NOUN
bracis-28355	260	13	tends	tend	VERB
bracis-28355	260	14	to	to	PART
bracis-28355	260	15	increase	increase	VERB
bracis-28355	260	16	considering	consider	VERB
bracis-28355	260	17	the	the	DET
bracis-28355	260	18	size	size	NOUN
bracis-28355	260	19	of	of	ADP
bracis-28355	260	20	the	the	DET
bracis-28355	260	21	training	training	NOUN
bracis-28355	260	22	set	set	NOUN
bracis-28355	260	23	.	.	PUNCT
bracis-28355	261	1	we	we	PRON
bracis-28355	261	2	can	can	AUX
bracis-28355	261	3	conclude	conclude	VERB
bracis-28355	261	4	that	that	SCONJ
bracis-28355	261	5	this	this	PRON
bracis-28355	261	6	occured	occur	VERB
bracis-28355	261	7	due	due	ADP
bracis-28355	261	8	to	to	ADP
bracis-28355	261	9	the	the	DET
bracis-28355	261	10	frequency	frequency	NOUN
bracis-28355	261	11	of	of	ADP
bracis-28355	261	12	other	other	ADJ
bracis-28355	261	13	class	class	NOUN
bracis-28355	261	14	,	,	PUNCT
bracis-28355	261	15	which	which	PRON
bracis-28355	261	16	represents	represent	VERB
bracis-28355	261	17	less	less	ADJ
bracis-28355	261	18	than	than	ADP
bracis-28355	261	19	10	10	NUM
bracis-28355	261	20	%	%	NOUN
bracis-28355	261	21	of	of	ADP
bracis-28355	261	22	the	the	DET
bracis-28355	261	23	original	original	ADJ
bracis-28355	261	24	training	training	NOUN
bracis-28355	261	25	set	set	NOUN
bracis-28355	261	26	,	,	PUNCT
bracis-28355	261	27	as	as	ADV
bracis-28355	261	28	well	well	ADV
bracis-28355	261	29	as	as	ADP
bracis-28355	261	30	the	the	DET
bracis-28355	261	31	validation	validation	NOUN
bracis-28355	261	32	and	and	CCONJ
bracis-28355	261	33	test	test	NOUN
bracis-28355	261	34	sets	set	NOUN
bracis-28355	261	35	.	.	PUNCT
bracis-28355	262	1	it	it	PRON
bracis-28355	262	2	is	be	AUX
bracis-28355	262	3	worth	worth	ADJ
bracis-28355	262	4	noting	note	VERB
bracis-28355	262	5	that	that	SCONJ
bracis-28355	262	6	,	,	PUNCT
bracis-28355	262	7	although	although	SCONJ
bracis-28355	262	8	the	the	DET
bracis-28355	262	9	classes	class	NOUN
bracis-28355	262	10	representing	represent	VERB
bracis-28355	262	11	race	race	NOUN
bracis-28355	262	12	and	and	CCONJ
bracis-28355	262	13	gender	gender	NOUN
bracis-28355	262	14	are	be	AUX
bracis-28355	262	15	very	very	ADV
bracis-28355	262	16	balanced	balanced	ADJ
bracis-28355	262	17	,	,	PUNCT
bracis-28355	262	18	as	as	SCONJ
bracis-28355	262	19	shown	show	VERB
bracis-28355	262	20	in	in	ADP
bracis-28355	262	21	fig	fig	NOUN
bracis-28355	262	22	.	.	PUNCT
bracis-28355	262	23	 	 	SPACE
bracis-28355	262	24	5	5	NUM
bracis-28355	262	25	,	,	PUNCT
bracis-28355	262	26	indicating	indicate	VERB
bracis-28355	262	27	that	that	SCONJ
bracis-28355	262	28	we	we	PRON
bracis-28355	262	29	have	have	VERB
bracis-28355	262	30	a	a	DET
bracis-28355	262	31	fair	fair	ADJ
bracis-28355	262	32	cover	cover	NOUN
bracis-28355	262	33	on	on	ADP
bracis-28355	262	34	these	these	DET
bracis-28355	262	35	characteristics	characteristic	NOUN
bracis-28355	262	36	,	,	PUNCT
bracis-28355	262	37	we	we	PRON
bracis-28355	262	38	still	still	ADV
bracis-28355	262	39	have	have	VERB
bracis-28355	262	40	a	a	DET
bracis-28355	262	41	noticeable	noticeable	ADJ
bracis-28355	262	42	disparity	disparity	NOUN
bracis-28355	262	43	in	in	ADP
bracis-28355	262	44	the	the	DET
bracis-28355	262	45	bmae	bmae	NOUN
bracis-28355	262	46	when	when	SCONJ
bracis-28355	262	47	considering	consider	VERB
bracis-28355	262	48	the	the	DET
bracis-28355	262	49	different	different	ADJ
bracis-28355	262	50	classes	class	NOUN
bracis-28355	262	51	of	of	ADP
bracis-28355	262	52	race	race	NOUN
bracis-28355	262	53	and	and	CCONJ
bracis-28355	262	54	gender	gender	NOUN
bracis-28355	262	55	.	.	PUNCT
bracis-28355	263	1	for	for	ADP
bracis-28355	263	2	example	example	NOUN
bracis-28355	263	3	,	,	PUNCT
bracis-28355	263	4	the	the	DET
bracis-28355	263	5	error	error	NOUN
bracis-28355	263	6	for	for	ADP
bracis-28355	263	7	the	the	DET
bracis-28355	263	8	regression	regression	NOUN
bracis-28355	263	9	of	of	ADP
bracis-28355	263	10	female	female	NOUN
bracis-28355	263	11	is	be	AUX
bracis-28355	263	12	always	always	ADV
bracis-28355	263	13	greater	great	ADJ
bracis-28355	263	14	than	than	ADP
bracis-28355	263	15	that	that	PRON
bracis-28355	263	16	of	of	ADP
bracis-28355	263	17	male	male	NOUN
bracis-28355	263	18	.	.	PUNCT
bracis-28355	264	1	we	we	PRON
bracis-28355	264	2	also	also	ADV
bracis-28355	264	3	have	have	VERB
bracis-28355	264	4	the	the	DET
bracis-28355	264	5	race	race	NOUN
bracis-28355	264	6	black	black	NOUN
bracis-28355	264	7	has	have	VERB
bracis-28355	264	8	a	a	DET
bracis-28355	264	9	greater	great	ADJ
bracis-28355	264	10	error	error	NOUN
bracis-28355	264	11	consistently	consistently	ADV
bracis-28355	264	12	in	in	ADP
bracis-28355	264	13	all	all	DET
bracis-28355	264	14	cases	case	NOUN
bracis-28355	264	15	.	.	PUNCT
bracis-28355	265	1	this	this	DET
bracis-28355	265	2	behavior	behavior	NOUN
bracis-28355	265	3	is	be	AUX
bracis-28355	265	4	present	present	ADJ
bracis-28355	265	5	in	in	ADP
bracis-28355	265	6	both	both	CCONJ
bracis-28355	265	7	the	the	DET
bracis-28355	265	8	training	training	NOUN
bracis-28355	265	9	with	with	ADP
bracis-28355	265	10	a	a	DET
bracis-28355	265	11	fair	fair	ADJ
bracis-28355	265	12	subset	subset	NOUN
bracis-28355	265	13	and	and	CCONJ
bracis-28355	265	14	with	with	ADP
bracis-28355	265	15	a	a	DET
bracis-28355	265	16	random	random	ADJ
bracis-28355	265	17	subset	subset	NOUN
bracis-28355	265	18	.	.	PUNCT
bracis-28355	266	1	although	although	SCONJ
bracis-28355	266	2	the	the	DET
bracis-28355	266	3	training	training	NOUN
bracis-28355	266	4	with	with	ADP
bracis-28355	266	5	the	the	DET
bracis-28355	266	6	fair	fair	ADJ
bracis-28355	266	7	subset	subset	NOUN
bracis-28355	266	8	has	have	AUX
bracis-28355	266	9	decreased	decrease	VERB
bracis-28355	266	10	this	this	DET
bracis-28355	266	11	difference	difference	NOUN
bracis-28355	266	12	in	in	ADP
bracis-28355	266	13	every	every	DET
bracis-28355	266	14	case	case	NOUN
bracis-28355	266	15	.	.	PUNCT
bracis-28355	267	1	4	4	NUM
bracis-28355	267	2	conclusions	conclusion	NOUN
bracis-28355	267	3	and	and	CCONJ
bracis-28355	267	4	 	 	SPACE
bracis-28355	267	5	future	future	ADJ
bracis-28355	267	6	work	work	NOUN
bracis-28355	267	7	in	in	ADP
bracis-28355	267	8	this	this	DET
bracis-28355	267	9	paper	paper	NOUN
bracis-28355	267	10	,	,	PUNCT
bracis-28355	267	11	we	we	PRON
bracis-28355	267	12	defined	define	VERB
bracis-28355	267	13	a	a	DET
bracis-28355	267	14	generalized	generalized	ADJ
bracis-28355	267	15	version	version	NOUN
bracis-28355	267	16	of	of	ADP
bracis-28355	267	17	the	the	DET
bracis-28355	267	18	fairer	fair	ADJ
bracis-28355	267	19	cover	cover	NOUN
bracis-28355	267	20	,	,	PUNCT
bracis-28355	267	21	called	call	VERB
bracis-28355	267	22	multi	multi	ADJ
bracis-28355	267	23	-	-	ADJ
bracis-28355	267	24	attribute	attribute	ADJ
bracis-28355	267	25	fairer	fair	ADJ
bracis-28355	267	26	cover	cover	NOUN
bracis-28355	267	27	.	.	PUNCT
bracis-28355	268	1	in	in	ADP
bracis-28355	268	2	this	this	DET
bracis-28355	268	3	version	version	NOUN
bracis-28355	268	4	of	of	ADP
bracis-28355	268	5	the	the	DET
bracis-28355	268	6	problem	problem	NOUN
bracis-28355	268	7	,	,	PUNCT
bracis-28355	268	8	we	we	PRON
bracis-28355	268	9	were	be	AUX
bracis-28355	268	10	able	able	ADJ
bracis-28355	268	11	to	to	PART
bracis-28355	268	12	handle	handle	VERB
bracis-28355	268	13	the	the	DET
bracis-28355	268	14	selection	selection	NOUN
bracis-28355	268	15	of	of	ADP
bracis-28355	268	16	a	a	DET
bracis-28355	268	17	training	training	NOUN
bracis-28355	268	18	subset	subset	NOUN
bracis-28355	268	19	on	on	ADP
bracis-28355	268	20	a	a	DET
bracis-28355	268	21	tabular	tabular	NOUN
bracis-28355	268	22	dataset	dataset	NOUN
bracis-28355	268	23	that	that	PRON
bracis-28355	268	24	has	have	VERB
bracis-28355	268	25	multiple	multiple	ADJ
bracis-28355	268	26	attributes	attribute	NOUN
bracis-28355	268	27	and	and	CCONJ
bracis-28355	268	28	applies	apply	VERB
bracis-28355	268	29	the	the	DET
bracis-28355	268	30	fairness	fairness	NOUN
bracis-28355	268	31	condition	condition	NOUN
bracis-28355	268	32	to	to	ADP
bracis-28355	268	33	each	each	DET
bracis-28355	268	34	attribute	attribute	NOUN
bracis-28355	268	35	individually	individually	ADV
bracis-28355	268	36	.	.	PUNCT
bracis-28355	269	1	we	we	PRON
bracis-28355	269	2	present	present	VERB
bracis-28355	269	3	an	an	DET
bracis-28355	269	4	integer	integer	NOUN
bracis-28355	269	5	linear	linear	NOUN
bracis-28355	269	6	programming	programming	NOUN
bracis-28355	269	7	(	(	PUNCT
bracis-28355	269	8	ilp	ilp	NOUN
bracis-28355	269	9	)	)	PUNCT
bracis-28355	269	10	formulation	formulation	NOUN
bracis-28355	269	11	that	that	PRON
bracis-28355	269	12	models	model	VERB
bracis-28355	269	13	this	this	DET
bracis-28355	269	14	problem	problem	NOUN
bracis-28355	269	15	and	and	CCONJ
bracis-28355	269	16	also	also	ADV
bracis-28355	269	17	detail	detail	VERB
bracis-28355	269	18	a	a	DET
bracis-28355	269	19	procedure	procedure	NOUN
bracis-28355	269	20	to	to	PART
bracis-28355	269	21	create	create	VERB
bracis-28355	269	22	a	a	DET
bracis-28355	269	23	combinatorial	combinatorial	ADJ
bracis-28355	269	24	instance	instance	NOUN
bracis-28355	269	25	from	from	ADP
bracis-28355	269	26	a	a	DET
bracis-28355	269	27	tabular	tabular	NOUN
bracis-28355	269	28	dataset	dataset	NOUN
bracis-28355	269	29	.	.	PUNCT
bracis-28355	270	1	we	we	PRON
bracis-28355	270	2	presented	present	VERB
bracis-28355	270	3	experiments	experiment	NOUN
bracis-28355	270	4	with	with	ADP
bracis-28355	270	5	our	our	PRON
bracis-28355	270	6	ilp	ilp	ADJ
bracis-28355	270	7	model	model	NOUN
bracis-28355	270	8	and	and	CCONJ
bracis-28355	270	9	instances	instance	NOUN
bracis-28355	270	10	derived	derive	VERB
bracis-28355	270	11	from	from	ADP
bracis-28355	270	12	a	a	DET
bracis-28355	270	13	real	real	ADJ
bracis-28355	270	14	application	application	NOUN
bracis-28355	270	15	dataset	dataset	NOUN
bracis-28355	270	16	.	.	PUNCT
bracis-28355	271	1	the	the	DET
bracis-28355	271	2	model	model	NOUN
bracis-28355	271	3	achieved	achieve	VERB
bracis-28355	271	4	a	a	DET
bracis-28355	271	5	good	good	ADJ
bracis-28355	271	6	performance	performance	NOUN
bracis-28355	271	7	,	,	PUNCT
bracis-28355	271	8	returning	return	VERB
bracis-28355	271	9	the	the	DET
bracis-28355	271	10	optimal	optimal	ADJ
bracis-28355	271	11	solution	solution	NOUN
bracis-28355	271	12	to	to	ADP
bracis-28355	271	13	every	every	DET
bracis-28355	271	14	instance	instance	NOUN
bracis-28355	271	15	tested	test	VERB
bracis-28355	271	16	in	in	ADP
bracis-28355	271	17	just	just	ADV
bracis-28355	271	18	a	a	DET
bracis-28355	271	19	few	few	ADJ
bracis-28355	271	20	seconds	second	NOUN
bracis-28355	271	21	.	.	PUNCT
bracis-28355	272	1	we	we	PRON
bracis-28355	272	2	also	also	ADV
bracis-28355	272	3	analyzed	analyze	VERB
bracis-28355	272	4	the	the	DET
bracis-28355	272	5	solutions	solution	NOUN
bracis-28355	272	6	given	give	VERB
bracis-28355	272	7	by	by	ADP
bracis-28355	272	8	the	the	DET
bracis-28355	272	9	model	model	NOUN
bracis-28355	272	10	,	,	PUNCT
bracis-28355	272	11	and	and	CCONJ
bracis-28355	272	12	showed	show	VERB
bracis-28355	272	13	how	how	SCONJ
bracis-28355	272	14	to	to	PART
bracis-28355	272	15	adjust	adjust	VERB
bracis-28355	272	16	the	the	DET
bracis-28355	272	17	instance	instance	NOUN
bracis-28355	272	18	in	in	ADP
bracis-28355	272	19	order	order	NOUN
bracis-28355	272	20	to	to	PART
bracis-28355	272	21	satisfy	satisfy	VERB
bracis-28355	272	22	the	the	DET
bracis-28355	272	23	fairness	fairness	NOUN
bracis-28355	272	24	condition	condition	NOUN
bracis-28355	272	25	through	through	ADP
bracis-28355	272	26	the	the	DET
bracis-28355	272	27	pairing	pairing	NOUN
bracis-28355	272	28	of	of	ADP
bracis-28355	272	29	the	the	DET
bracis-28355	272	30	attributes	attribute	NOUN
bracis-28355	272	31	.	.	PUNCT
bracis-28355	273	1	we	we	PRON
bracis-28355	273	2	developed	develop	VERB
bracis-28355	273	3	an	an	DET
bracis-28355	273	4	age	age	NOUN
bracis-28355	273	5	regression	regression	NOUN
bracis-28355	273	6	model	model	NOUN
bracis-28355	273	7	to	to	PART
bracis-28355	273	8	test	test	VERB
bracis-28355	273	9	the	the	DET
bracis-28355	273	10	training	training	NOUN
bracis-28355	273	11	with	with	ADP
bracis-28355	273	12	the	the	DET
bracis-28355	273	13	different	different	ADJ
bracis-28355	273	14	sizes	size	NOUN
bracis-28355	273	15	of	of	ADP
bracis-28355	273	16	fair	fair	ADJ
bracis-28355	273	17	subsets	subset	NOUN
bracis-28355	273	18	obtained	obtain	VERB
bracis-28355	273	19	with	with	ADP
bracis-28355	273	20	the	the	DET
bracis-28355	273	21	ilp	ilp	ADJ
bracis-28355	273	22	model	model	NOUN
bracis-28355	273	23	and	and	CCONJ
bracis-28355	273	24	compared	compare	VERB
bracis-28355	273	25	these	these	DET
bracis-28355	273	26	models	model	NOUN
bracis-28355	273	27	with	with	ADP
bracis-28355	273	28	their	their	PRON
bracis-28355	273	29	random	random	ADJ
bracis-28355	273	30	counterparts	counterpart	NOUN
bracis-28355	273	31	.	.	PUNCT
bracis-28355	274	1	we	we	PRON
bracis-28355	274	2	found	find	VERB
bracis-28355	274	3	that	that	SCONJ
bracis-28355	274	4	error	error	NOUN
bracis-28355	274	5	was	be	AUX
bracis-28355	274	6	reduced	reduce	VERB
bracis-28355	274	7	when	when	SCONJ
bracis-28355	274	8	using	use	VERB
bracis-28355	274	9	the	the	DET
bracis-28355	274	10	fair	fair	ADJ
bracis-28355	274	11	subsets	subset	NOUN
bracis-28355	274	12	,	,	PUNCT
bracis-28355	274	13	specially	specially	ADV
bracis-28355	274	14	when	when	SCONJ
bracis-28355	274	15	dealing	deal	VERB
bracis-28355	274	16	with	with	ADP
bracis-28355	274	17	more	more	ADV
bracis-28355	274	18	advanced	advanced	ADJ
bracis-28355	274	19	ages	age	NOUN
bracis-28355	274	20	.	.	PUNCT
bracis-28355	275	1	we	we	PRON
bracis-28355	275	2	also	also	ADV
bracis-28355	275	3	reduced	reduce	VERB
bracis-28355	275	4	the	the	DET
bracis-28355	275	5	disparity	disparity	NOUN
bracis-28355	275	6	in	in	ADP
bracis-28355	275	7	error	error	NOUN
bracis-28355	275	8	between	between	ADP
bracis-28355	275	9	the	the	DET
bracis-28355	275	10	samples	sample	NOUN
bracis-28355	275	11	of	of	ADP
bracis-28355	275	12	the	the	DET
bracis-28355	275	13	different	different	ADJ
bracis-28355	275	14	genders	gender	NOUN
bracis-28355	275	15	and	and	CCONJ
bracis-28355	275	16	races	race	NOUN
bracis-28355	275	17	.	.	PUNCT
bracis-28355	276	1	as	as	ADP
bracis-28355	276	2	future	future	ADJ
bracis-28355	276	3	work	work	NOUN
bracis-28355	276	4	,	,	PUNCT
bracis-28355	276	5	we	we	PRON
bracis-28355	276	6	intend	intend	VERB
bracis-28355	276	7	to	to	PART
bracis-28355	276	8	investigate	investigate	VERB
bracis-28355	276	9	how	how	SCONJ
bracis-28355	276	10	the	the	DET
bracis-28355	276	11	fair	fair	ADJ
bracis-28355	276	12	training	training	NOUN
bracis-28355	276	13	subset	subset	NOUN
bracis-28355	276	14	affects	affect	VERB
bracis-28355	276	15	a	a	DET
bracis-28355	276	16	different	different	ADJ
bracis-28355	276	17	regression	regression	NOUN
bracis-28355	276	18	models	model	NOUN
bracis-28355	276	19	specifically	specifically	ADV
bracis-28355	276	20	tuned	tune	VERB
bracis-28355	276	21	for	for	ADP
bracis-28355	276	22	fairness	fairness	NOUN
bracis-28355	276	23	.	.	PUNCT
bracis-28355	277	1	since	since	SCONJ
bracis-28355	277	2	the	the	DET
bracis-28355	277	3	utkface	utkface	NOUN
bracis-28355	277	4	dataset	dataset	NOUN
bracis-28355	277	5	has	have	VERB
bracis-28355	277	6	annotations	annotation	NOUN
bracis-28355	277	7	on	on	ADP
bracis-28355	277	8	both	both	DET
bracis-28355	277	9	race	race	NOUN
bracis-28355	277	10	and	and	CCONJ
bracis-28355	277	11	genders	gender	NOUN
bracis-28355	277	12	,	,	PUNCT
bracis-28355	277	13	we	we	PRON
bracis-28355	277	14	also	also	ADV
bracis-28355	277	15	intend	intend	VERB
bracis-28355	277	16	to	to	PART
bracis-28355	277	17	experiment	experiment	VERB
bracis-28355	277	18	with	with	ADP
bracis-28355	277	19	our	our	PRON
bracis-28355	277	20	model	model	NOUN
bracis-28355	277	21	on	on	ADP
bracis-28355	277	22	other	other	ADJ
bracis-28355	277	23	tasks	task	NOUN
bracis-28355	277	24	,	,	PUNCT
bracis-28355	277	25	such	such	ADJ
bracis-28355	277	26	as	as	ADP
bracis-28355	277	27	race	race	NOUN
bracis-28355	277	28	and	and	CCONJ
bracis-28355	277	29	gender	gender	NOUN
bracis-28355	277	30	classification	classification	NOUN
bracis-28355	277	31	,	,	PUNCT
bracis-28355	277	32	and	and	CCONJ
bracis-28355	277	33	investigate	investigate	VERB
bracis-28355	277	34	how	how	SCONJ
bracis-28355	277	35	to	to	PART
bracis-28355	277	36	decrease	decrease	VERB
bracis-28355	277	37	the	the	DET
bracis-28355	277	38	error	error	NOUN
bracis-28355	277	39	disparity	disparity	NOUN
bracis-28355	277	40	between	between	ADP
bracis-28355	277	41	gender	gender	NOUN
bracis-28355	277	42	and	and	CCONJ
bracis-28355	277	43	race	race	NOUN
bracis-28355	277	44	classes	class	NOUN
bracis-28355	277	45	.	.	PUNCT
bracis-28355	278	1	references	reference	NOUN
bracis-28355	278	2	asudeh	asudeh	PROPN
bracis-28355	278	3	,	,	PUNCT
bracis-28355	278	4	a.	a.	PROPN
bracis-28355	278	5	,	,	PUNCT
bracis-28355	278	6	berger	berger	PROPN
bracis-28355	278	7	-	-	PUNCT
bracis-28355	278	8	wolf	wolf	PROPN
bracis-28355	278	9	,	,	PUNCT
bracis-28355	278	10	t.	t.	PROPN
bracis-28355	278	11	,	,	PUNCT
bracis-28355	278	12	dasgupta	dasgupta	PROPN
bracis-28355	278	13	,	,	PUNCT
bracis-28355	278	14	b.	b.	PROPN
bracis-28355	278	15	,	,	PUNCT
bracis-28355	278	16	sidiropoulos	sidiropoulo	NOUN
bracis-28355	278	17	,	,	PUNCT
bracis-28355	278	18	a.	a.	NOUN
bracis-28355	278	19	:	:	PUNCT
bracis-28355	278	20	maximizing	maximize	VERB
bracis-28355	278	21	coverage	coverage	NOUN
bracis-28355	278	22	while	while	SCONJ
bracis-28355	278	23	ensuring	ensure	VERB
bracis-28355	278	24	fairness	fairness	NOUN
bracis-28355	278	25	:	:	PUNCT
bracis-28355	278	26	a	a	DET
bracis-28355	278	27	tale	tale	NOUN
bracis-28355	278	28	of	of	ADP
bracis-28355	278	29	conflicting	conflict	VERB
bracis-28355	278	30	objectives	objective	NOUN
bracis-28355	278	31	.	.	PUNCT
bracis-28355	279	1	algorithmica	algorithmica	ADV
bracis-28355	279	2	85(5	85(5	NUM
bracis-28355	279	3	)	)	PUNCT
bracis-28355	279	4	,	,	PUNCT
bracis-28355	279	5	1287–1331	1287–1331	NUM
bracis-28355	279	6	(	(	PUNCT
bracis-28355	279	7	2023	2023	NUM
bracis-28355	279	8	)	)	PUNCT
bracis-28355	279	9	article	article	NOUN
bracis-28355	279	10	  	  	SPACE
bracis-28355	279	11	mathscinet	mathscinet	NOUN
bracis-28355	279	12	  	  	SPACE
bracis-28355	279	13	math	math	NOUN
bracis-28355	279	14	  	  	SPACE
bracis-28355	279	15	google	google	PROPN
bracis-28355	279	16	scholar	scholar	NOUN
bracis-28355	279	17	  	  	SPACE
bracis-28355	279	18	chung	chung	PROPN
bracis-28355	279	19	,	,	PUNCT
bracis-28355	279	20	j.	j.	PROPN
bracis-28355	279	21	:	:	PUNCT
bracis-28355	279	22	racism	racism	NOUN
bracis-28355	279	23	in	in	ADP
bracis-28355	279	24	.	.	PUNCT
bracis-28355	280	1	public	public	ADJ
bracis-28355	280	2	citizen	citizen	NOUN
bracis-28355	280	3	,	,	PUNCT
bracis-28355	280	4	racism	racism	NOUN
bracis-28355	280	5	out	out	ADP
bracis-28355	280	6	a	a	DET
bracis-28355	280	7	primer	primer	NOUN
bracis-28355	280	8	on	on	ADP
bracis-28355	280	9	algorithmic	algorithmic	ADJ
bracis-28355	280	10	racism	racism	NOUN
bracis-28355	280	11	(	(	PUNCT
bracis-28355	280	12	2022	2022	NUM
bracis-28355	280	13	)	)	PUNCT
bracis-28355	280	14	google	google	NOUN
bracis-28355	280	15	scholar	scholar	NOUN
bracis-28355	280	16	  	  	SPACE
bracis-28355	280	17	dantas	danta	NOUN
bracis-28355	280	18	.	.	PUNCT
bracis-28355	280	19	,	,	PUNCT
bracis-28355	280	20	a.p.s	a.p.s	PROPN
bracis-28355	280	21	.	.	PUNCT
bracis-28355	280	22	,	,	PUNCT
bracis-28355	280	23	de	de	PROPN
bracis-28355	280	24	oliveira	oliveira	PROPN
bracis-28355	280	25	.	.	PROPN
bracis-28355	280	26	,	,	PUNCT
bracis-28355	280	27	g.b	g.b	PROPN
bracis-28355	280	28	.	.	PROPN
bracis-28355	280	29	,	,	PUNCT
bracis-28355	280	30	de	de	PROPN
bracis-28355	280	31	oliveira	oliveira	PROPN
bracis-28355	280	32	.	.	PROPN
bracis-28355	280	33	,	,	PUNCT
bracis-28355	280	34	d.m	d.m	PROPN
bracis-28355	280	35	.	.	PROPN
bracis-28355	280	36	,	,	PUNCT
bracis-28355	280	37	pedrini	pedrini	PROPN
bracis-28355	280	38	.	.	PROPN
bracis-28355	280	39	,	,	PUNCT
bracis-28355	280	40	h.	h.	PROPN
bracis-28355	280	41	,	,	PUNCT
bracis-28355	280	42	de	de	PROPN
bracis-28355	280	43	souza	souza	PROPN
bracis-28355	280	44	.	.	PROPN
bracis-28355	280	45	,	,	PUNCT
bracis-28355	280	46	c.c	c.c	PROPN
bracis-28355	280	47	.	.	PROPN
bracis-28355	280	48	,	,	PUNCT
bracis-28355	280	49	dias	dias	PROPN
bracis-28355	280	50	.	.	PROPN
bracis-28355	280	51	,	,	PUNCT
bracis-28355	280	52	z.	z.	PROPN
bracis-28355	280	53	:	:	PUNCT
bracis-28355	281	1	algorithmic	algorithmic	ADJ
bracis-28355	281	2	fairness	fairness	NOUN
bracis-28355	281	3	applied	apply	VERB
bracis-28355	281	4	to	to	ADP
bracis-28355	281	5	the	the	DET
bracis-28355	281	6	multi	multi	ADJ
bracis-28355	281	7	-	-	ADJ
bracis-28355	281	8	label	label	ADJ
bracis-28355	281	9	classification	classification	NOUN
bracis-28355	281	10	problem	problem	NOUN
bracis-28355	281	11	.	.	PUNCT
bracis-28355	282	1	in	in	ADP
bracis-28355	282	2	:	:	PUNCT
bracis-28355	282	3	18th	18th	ADJ
bracis-28355	282	4	international	international	ADJ
bracis-28355	282	5	joint	joint	ADJ
bracis-28355	282	6	conference	conference	NOUN
bracis-28355	282	7	on	on	ADP
bracis-28355	282	8	computer	computer	NOUN
bracis-28355	282	9	vision	vision	NOUN
bracis-28355	282	10	,	,	PUNCT
bracis-28355	282	11	imaging	imaging	NOUN
bracis-28355	282	12	and	and	CCONJ
bracis-28355	282	13	computer	computer	NOUN
bracis-28355	282	14	graphics	graphic	NOUN
bracis-28355	282	15	theory	theory	NOUN
bracis-28355	282	16	and	and	CCONJ
bracis-28355	282	17	applications	application	NOUN
bracis-28355	282	18	volume	volume	NOUN
bracis-28355	282	19	5	5	NUM
bracis-28355	282	20	:	:	PUNCT
bracis-28355	282	21	visapp	visapp	NOUN
bracis-28355	282	22	,	,	PUNCT
bracis-28355	282	23	pp	pp	X
bracis-28355	282	24	.	.	PUNCT
bracis-28355	283	1	737–744	737–744	NUM
bracis-28355	283	2	.	.	X
bracis-28355	283	3	scitepress	scitepress	NOUN
bracis-28355	283	4	(	(	PUNCT
bracis-28355	283	5	2023	2023	NUM
bracis-28355	283	6	)	)	PUNCT
bracis-28355	283	7	google	google	NOUN
bracis-28355	283	8	scholar	scholar	NOUN
bracis-28355	283	9	  	  	SPACE
bracis-28355	283	10	galhotra	galhotra	NOUN
bracis-28355	283	11	,	,	PUNCT
bracis-28355	283	12	s.	s.	PROPN
bracis-28355	283	13	,	,	PUNCT
bracis-28355	283	14	shanmugam	shanmugam	PROPN
bracis-28355	283	15	,	,	PUNCT
bracis-28355	283	16	k.	k.	PROPN
bracis-28355	283	17	,	,	PUNCT
bracis-28355	283	18	sattigeri	sattigeri	PROPN
bracis-28355	283	19	,	,	PUNCT
bracis-28355	283	20	p.	p.	NOUN
bracis-28355	283	21	,	,	PUNCT
bracis-28355	283	22	varshney	varshney	NOUN
bracis-28355	283	23	,	,	PUNCT
bracis-28355	283	24	k.r	k.r	PROPN
bracis-28355	283	25	.	.	PROPN
bracis-28355	283	26	:	:	PUNCT
bracis-28355	283	27	causal	causal	ADJ
bracis-28355	283	28	feature	feature	NOUN
bracis-28355	283	29	selection	selection	NOUN
bracis-28355	283	30	for	for	ADP
bracis-28355	283	31	algorithmic	algorithmic	ADJ
bracis-28355	283	32	fairness	fairness	NOUN
bracis-28355	283	33	.	.	PUNCT
bracis-28355	284	1	in	in	ADP
bracis-28355	284	2	:	:	PUNCT
bracis-28355	284	3	international	international	ADJ
bracis-28355	284	4	conference	conference	NOUN
bracis-28355	284	5	on	on	ADP
bracis-28355	284	6	management	management	NOUN
bracis-28355	284	7	of	of	ADP
bracis-28355	284	8	data	datum	NOUN
bracis-28355	284	9	,	,	PUNCT
bracis-28355	284	10	sigmod2022	sigmod2022	PROPN
bracis-28355	284	11	,	,	PUNCT
bracis-28355	284	12	pp	pp	ADJ
bracis-28355	284	13	.	.	PUNCT
bracis-28355	285	1	276–285	276–285	NUM
bracis-28355	285	2	.	.	PUNCT
bracis-28355	285	3	association	association	NOUN
bracis-28355	285	4	for	for	ADP
bracis-28355	285	5	computing	compute	VERB
bracis-28355	285	6	machinery	machinery	NOUN
bracis-28355	285	7	(	(	PUNCT
bracis-28355	285	8	2022	2022	NUM
bracis-28355	285	9	)	)	PUNCT
bracis-28355	285	10	google	google	NOUN
bracis-28355	285	11	scholar	scholar	NOUN
bracis-28355	285	12	  	  	SPACE
bracis-28355	285	13	he	he	PRON
bracis-28355	285	14	,	,	PUNCT
bracis-28355	285	15	k.	k.	PROPN
bracis-28355	285	16	,	,	PUNCT
bracis-28355	285	17	zhang	zhang	PROPN
bracis-28355	285	18	,	,	PUNCT
bracis-28355	285	19	x.	x.	PROPN
bracis-28355	285	20	,	,	PUNCT
bracis-28355	285	21	ren	ren	PROPN
bracis-28355	285	22	,	,	PUNCT
bracis-28355	285	23	s.	s.	PROPN
bracis-28355	285	24	,	,	PUNCT
bracis-28355	285	25	sun	sun	PROPN
bracis-28355	285	26	,	,	PUNCT
bracis-28355	285	27	j.	j.	PROPN
bracis-28355	285	28	:	:	PUNCT
bracis-28355	285	29	deep	deep	ADJ
bracis-28355	285	30	residual	residual	ADJ
bracis-28355	285	31	learning	learning	NOUN
bracis-28355	285	32	for	for	ADP
bracis-28355	285	33	image	image	NOUN
bracis-28355	285	34	recognition	recognition	NOUN
bracis-28355	285	35	.	.	PUNCT
bracis-28355	286	1	in	in	ADP
bracis-28355	286	2	:	:	PUNCT
bracis-28355	286	3	conference	conference	NOUN
bracis-28355	286	4	on	on	ADP
bracis-28355	286	5	computer	computer	NOUN
bracis-28355	286	6	vision	vision	NOUN
bracis-28355	286	7	and	and	CCONJ
bracis-28355	286	8	pattern	pattern	NOUN
bracis-28355	286	9	recognition	recognition	NOUN
bracis-28355	286	10	,	,	PUNCT
bracis-28355	286	11	pp	pp	ADJ
bracis-28355	286	12	.	.	PUNCT
bracis-28355	287	1	770–778	770–778	NUM
bracis-28355	287	2	.	.	PUNCT
bracis-28355	288	1	ieee	ieee	NOUN
bracis-28355	288	2	(	(	PUNCT
bracis-28355	288	3	2016	2016	NUM
bracis-28355	288	4	)	)	PUNCT
bracis-28355	288	5	google	google	PROPN
bracis-28355	288	6	scholar	scholar	NOUN
bracis-28355	288	7	  	  	SPACE
bracis-28355	288	8	kleinberg	kleinberg	PROPN
bracis-28355	288	9	,	,	PUNCT
bracis-28355	288	10	j.	j.	PROPN
bracis-28355	288	11	,	,	PUNCT
bracis-28355	288	12	ludwig	ludwig	PROPN
bracis-28355	288	13	,	,	PUNCT
bracis-28355	288	14	j.	j.	PROPN
bracis-28355	288	15	,	,	PUNCT
bracis-28355	288	16	mullainathan	mullainathan	PROPN
bracis-28355	288	17	,	,	PUNCT
bracis-28355	288	18	s.	s.	PROPN
bracis-28355	288	19	,	,	PUNCT
bracis-28355	288	20	rambachan	rambachan	PROPN
bracis-28355	288	21	,	,	PUNCT
bracis-28355	288	22	a.	a.	NOUN
bracis-28355	288	23	:	:	PUNCT
bracis-28355	288	24	algorithmic	algorithmic	ADJ
bracis-28355	288	25	fairness	fairness	NOUN
bracis-28355	288	26	.	.	PUNCT
bracis-28355	289	1	aea	aea	PROPN
bracis-28355	289	2	papers	papers	PROPN
bracis-28355	289	3	proc	proc	PROPN
bracis-28355	289	4	.	.	PROPN
bracis-28355	290	1	108	108	NUM
bracis-28355	290	2	,	,	PUNCT
bracis-28355	290	3	22–27	22–27	NUM
bracis-28355	290	4	(	(	PUNCT
bracis-28355	290	5	2018	2018	NUM
bracis-28355	290	6	)	)	PUNCT
bracis-28355	290	7	article	article	NOUN
bracis-28355	290	8	  	  	SPACE
bracis-28355	290	9	google	google	PROPN
bracis-28355	290	10	scholar	scholar	NOUN
bracis-28355	290	11	  	  	SPACE
bracis-28355	290	12	krizhevsky	krizhevsky	NOUN
bracis-28355	290	13	,	,	PUNCT
bracis-28355	290	14	a.	a.	NOUN
bracis-28355	290	15	,	,	PUNCT
bracis-28355	290	16	sutskever	sutskever	PROPN
bracis-28355	290	17	,	,	PUNCT
bracis-28355	290	18	i.	i.	PROPN
bracis-28355	290	19	,	,	PUNCT
bracis-28355	290	20	hinton	hinton	PROPN
bracis-28355	290	21	,	,	PUNCT
bracis-28355	290	22	g.e	g.e	PROPN
bracis-28355	290	23	.	.	PUNCT
bracis-28355	290	24	:	:	PUNCT
bracis-28355	291	1	imagenet	imagenet	PROPN
bracis-28355	291	2	classification	classification	NOUN
bracis-28355	291	3	with	with	ADP
bracis-28355	291	4	deep	deep	ADJ
bracis-28355	291	5	convolutional	convolutional	ADJ
bracis-28355	291	6	neural	neural	ADJ
bracis-28355	291	7	networks	network	NOUN
bracis-28355	291	8	.	.	PUNCT
bracis-28355	292	1	in	in	ADP
bracis-28355	292	2	:	:	PUNCT
bracis-28355	292	3	advances	advance	NOUN
bracis-28355	292	4	in	in	ADP
bracis-28355	292	5	neural	neural	ADJ
bracis-28355	292	6	information	information	NOUN
bracis-28355	292	7	processing	processing	NOUN
bracis-28355	292	8	systems	system	NOUN
bracis-28355	292	9	(	(	PUNCT
bracis-28355	292	10	nips	nip	NOUN
bracis-28355	292	11	)	)	PUNCT
bracis-28355	292	12	,	,	PUNCT
bracis-28355	292	13	pp	pp	ADP
bracis-28355	292	14	.	.	PUNCT
bracis-28355	293	1	1097–1105	1097–1105	NUM
bracis-28355	293	2	.	.	PUNCT
bracis-28355	294	1	curran	curran	PROPN
bracis-28355	294	2	associates	associates	PROPN
bracis-28355	294	3	,	,	PUNCT
bracis-28355	294	4	inc	inc	PROPN
bracis-28355	294	5	.	.	PROPN
bracis-28355	294	6	(	(	PUNCT
bracis-28355	294	7	2012	2012	NUM
bracis-28355	294	8	)	)	PUNCT
bracis-28355	294	9	google	google	PROPN
bracis-28355	294	10	scholar	scholar	NOUN
bracis-28355	294	11	  	  	SPACE
bracis-28355	294	12	lin	lin	PROPN
bracis-28355	294	13	,	,	PUNCT
bracis-28355	294	14	y.	y.	PROPN
bracis-28355	294	15	,	,	PUNCT
bracis-28355	294	16	guan	guan	PROPN
bracis-28355	294	17	,	,	PUNCT
bracis-28355	294	18	y.	y.	PROPN
bracis-28355	294	19	,	,	PUNCT
bracis-28355	294	20	asudeh	asudeh	PROPN
bracis-28355	294	21	,	,	PUNCT
bracis-28355	294	22	a.	a.	PROPN
bracis-28355	294	23	,	,	PUNCT
bracis-28355	294	24	jagadish	jagadish	PROPN
bracis-28355	294	25	,	,	PUNCT
bracis-28355	294	26	h.v.j	h.v.j	PROPN
bracis-28355	294	27	.	.	PUNCT
bracis-28355	294	28	:	:	PUNCT
bracis-28355	295	1	identifying	identify	VERB
bracis-28355	295	2	insufficient	insufficient	ADJ
bracis-28355	295	3	data	datum	NOUN
bracis-28355	295	4	coverage	coverage	NOUN
bracis-28355	295	5	in	in	ADP
bracis-28355	295	6	databases	database	NOUN
bracis-28355	295	7	with	with	ADP
bracis-28355	295	8	multiple	multiple	ADJ
bracis-28355	295	9	relations	relation	NOUN
bracis-28355	295	10	.	.	PUNCT
bracis-28355	296	1	vldb	vldb	PROPN
bracis-28355	296	2	endowment	endowment	PROPN
bracis-28355	296	3	13(12	13(12	NUM
bracis-28355	296	4	)	)	PUNCT
bracis-28355	296	5	,	,	PUNCT
bracis-28355	296	6	2229–2242	2229–2242	NUM
bracis-28355	296	7	(	(	PUNCT
bracis-28355	296	8	2020	2020	NUM
bracis-28355	296	9	)	)	PUNCT
bracis-28355	296	10	article	article	NOUN
bracis-28355	296	11	  	  	SPACE
bracis-28355	296	12	google	google	PROPN
bracis-28355	296	13	scholar	scholar	NOUN
bracis-28355	296	14	  	  	SPACE
bracis-28355	296	15	loshchilov	loshchilov	PROPN
bracis-28355	296	16	,	,	PUNCT
bracis-28355	296	17	i.	i.	NOUN
bracis-28355	296	18	,	,	PUNCT
bracis-28355	296	19	hutter	hutter	NOUN
bracis-28355	296	20	,	,	PUNCT
bracis-28355	296	21	f.	f.	PROPN
bracis-28355	296	22	:	:	PUNCT
bracis-28355	296	23	decoupled	decouple	VERB
bracis-28355	296	24	weight	weight	NOUN
bracis-28355	296	25	decay	decay	NOUN
bracis-28355	296	26	regularization	regularization	NOUN
bracis-28355	296	27	,	,	PUNCT
bracis-28355	296	28	pp	pp	ADP
bracis-28355	296	29	.	.	PUNCT
bracis-28355	297	1	1–11	1–11	PROPN
bracis-28355	297	2	(	(	PUNCT
bracis-28355	297	3	2019	2019	NUM
bracis-28355	297	4	)	)	PUNCT
bracis-28355	297	5	.	.	PUNCT
bracis-28355	298	1	arxiv:1711.05101	arxiv:1711.05101	PROPN
bracis-28355	298	2	o’neil	o’neil	PROPN
bracis-28355	298	3	,	,	PUNCT
bracis-28355	298	4	c.	c.	NOUN
bracis-28355	298	5	:	:	PUNCT
bracis-28355	298	6	weapons	weapon	NOUN
bracis-28355	298	7	of	of	ADP
bracis-28355	298	8	math	math	NOUN
bracis-28355	298	9	destruction	destruction	NOUN
bracis-28355	298	10	:	:	PUNCT
bracis-28355	298	11	how	how	SCONJ
bracis-28355	298	12	big	big	ADJ
bracis-28355	298	13	data	datum	NOUN
bracis-28355	298	14	increases	increase	VERB
bracis-28355	298	15	inequality	inequality	NOUN
bracis-28355	298	16	and	and	CCONJ
bracis-28355	298	17	threatens	threaten	VERB
bracis-28355	298	18	democracy	democracy	NOUN
bracis-28355	298	19	.	.	PUNCT
bracis-28355	299	1	in	in	ADP
bracis-28355	299	2	:	:	PUNCT
bracis-28355	299	3	crown	crown	NOUN
bracis-28355	299	4	(	(	PUNCT
bracis-28355	299	5	2017	2017	NUM
bracis-28355	299	6	)	)	PUNCT
bracis-28355	299	7	google	google	PROPN
bracis-28355	299	8	scholar	scholar	NOUN
bracis-28355	299	9	  	  	SPACE
bracis-28355	299	10	roh	roh	PROPN
bracis-28355	299	11	,	,	PUNCT
bracis-28355	299	12	y.	y.	PROPN
bracis-28355	299	13	,	,	PUNCT
bracis-28355	299	14	lee	lee	PROPN
bracis-28355	299	15	,	,	PUNCT
bracis-28355	299	16	k.	k.	PROPN
bracis-28355	299	17	,	,	PUNCT
bracis-28355	299	18	whang	whang	PROPN
bracis-28355	299	19	,	,	PUNCT
bracis-28355	299	20	s.	s.	PROPN
bracis-28355	299	21	,	,	PUNCT
bracis-28355	299	22	suh	suh	PROPN
bracis-28355	299	23	,	,	PUNCT
bracis-28355	299	24	c.	c.	PROPN
bracis-28355	299	25	:	:	PUNCT
bracis-28355	299	26	sample	sample	NOUN
bracis-28355	299	27	selection	selection	NOUN
bracis-28355	299	28	for	for	ADP
bracis-28355	299	29	fair	fair	ADJ
bracis-28355	299	30	and	and	CCONJ
bracis-28355	299	31	robust	robust	ADJ
bracis-28355	299	32	training	training	NOUN
bracis-28355	299	33	.	.	PUNCT
bracis-28355	300	1	adv	adv	INTJ
bracis-28355	300	2	.	.	PUNCT
bracis-28355	300	3	neural	neural	PROPN
bracis-28355	300	4	.	.	PUNCT
bracis-28355	300	5	inf	inf	PROPN
bracis-28355	300	6	.	.	PROPN
bracis-28355	300	7	process	process	NOUN
bracis-28355	300	8	.	.	PUNCT
bracis-28355	301	1	syst	syst	PROPN
bracis-28355	301	2	.	.	PUNCT
bracis-28355	302	1	34	34	NUM
bracis-28355	302	2	,	,	PUNCT
bracis-28355	302	3	815–827	815–827	NUM
bracis-28355	302	4	(	(	PUNCT
bracis-28355	302	5	2021	2021	NUM
bracis-28355	302	6	)	)	PUNCT
bracis-28355	302	7	google	google	NOUN
bracis-28355	302	8	scholar	scholar	NOUN
bracis-28355	302	9	  	  	SPACE
bracis-28355	302	10	silva	silva	NOUN
bracis-28355	302	11	,	,	PUNCT
bracis-28355	302	12	t.	t.	PROPN
bracis-28355	302	13	:	:	PUNCT
bracis-28355	302	14	algorithmic	algorithmic	ADJ
bracis-28355	302	15	racism	racism	NOUN
bracis-28355	302	16	timeline	timeline	NOUN
bracis-28355	302	17	(	(	PUNCT
bracis-28355	302	18	2020	2020	NUM
bracis-28355	302	19	)	)	PUNCT
bracis-28355	302	20	.	.	PUNCT
bracis-28355	303	1	https://bit.ly/3o6rjyc	https://bit.ly/3o6rjyc	PROPN
bracis-28355	303	2	soper	soper	PROPN
bracis-28355	303	3	,	,	PUNCT
bracis-28355	303	4	s.	s.	PROPN
bracis-28355	303	5	:	:	PUNCT
bracis-28355	303	6	fired	fire	VERB
bracis-28355	303	7	by	by	ADP
bracis-28355	303	8	bot	bot	NOUN
bracis-28355	303	9	at	at	ADP
bracis-28355	303	10	amazon	amazon	NOUN
bracis-28355	303	11	:	:	PUNCT
bracis-28355	303	12	‘	'	PUNCT
bracis-28355	303	13	it	it	PRON
bracis-28355	303	14	’s	’	VERB
bracis-28355	303	15	you	you	PRON
bracis-28355	303	16	against	against	ADP
bracis-28355	303	17	the	the	DET
bracis-28355	303	18	machine	machine	NOUN
bracis-28355	303	19	’	'	PUNCT
bracis-28355	303	20	(	(	PUNCT
bracis-28355	303	21	2021	2021	NUM
bracis-28355	303	22	)	)	PUNCT
bracis-28355	303	23	.	.	PUNCT
bracis-28355	304	1	https://www.bloomberg.com/news/features/2021-06-28/fired-by-bot-amazon-turns-to-machine-managers-and-workers-are-losing-out	https://www.bloomberg.com/news/features/2021-06-28/fired-by-bot-amazon-turns-to-machine-managers-and-workers-are-losing-out	PROPN
bracis-28355	304	2	,	,	PUNCT
bracis-28355	304	3	https://bit.ly/3ivhuxy	https://bit.ly/3ivhuxy	PROPN
bracis-28355	304	4	zhang	zhang	PROPN
bracis-28355	304	5	,	,	PUNCT
bracis-28355	304	6	z.	z.	PROPN
bracis-28355	304	7	,	,	PUNCT
bracis-28355	304	8	song	song	NOUN
bracis-28355	304	9	,	,	PUNCT
bracis-28355	304	10	y.	y.	PROPN
bracis-28355	304	11	,	,	PUNCT
bracis-28355	304	12	qi	qi	PROPN
bracis-28355	304	13	,	,	PUNCT
bracis-28355	304	14	h.	h.	NOUN
bracis-28355	304	15	:	:	PUNCT
bracis-28355	304	16	age	age	NOUN
bracis-28355	304	17	progression	progression	NOUN
bracis-28355	304	18	/	/	SYM
bracis-28355	304	19	regression	regression	NOUN
bracis-28355	304	20	by	by	ADP
bracis-28355	304	21	conditional	conditional	ADJ
bracis-28355	304	22	adversarial	adversarial	ADJ
bracis-28355	304	23	autoencoder	autoencoder	NOUN
bracis-28355	304	24	.	.	PUNCT
bracis-28355	305	1	in	in	ADP
bracis-28355	305	2	:	:	PUNCT
bracis-28355	305	3	conference	conference	NOUN
bracis-28355	305	4	on	on	ADP
bracis-28355	305	5	computer	computer	NOUN
bracis-28355	305	6	vision	vision	NOUN
bracis-28355	305	7	and	and	CCONJ
bracis-28355	305	8	pattern	pattern	NOUN
bracis-28355	305	9	recognition	recognition	NOUN
bracis-28355	305	10	,	,	PUNCT
bracis-28355	305	11	pp	pp	X
bracis-28355	305	12	.	.	PUNCT
bracis-28355	306	1	5810–5818	5810–5818	NUM
bracis-28355	306	2	.	.	PUNCT
bracis-28355	307	1	ieee	ieee	NOUN
bracis-28355	307	2	(	(	PUNCT
bracis-28355	307	3	2017	2017	NUM
bracis-28355	307	4	)	)	PUNCT
bracis-28355	307	5	google	google	PROPN
bracis-28355	307	6	scholar	scholar	NOUN
bracis-28355	307	7	  	  	SPACE
bracis-28355	307	8	download	download	NOUN
bracis-28355	307	9	references	reference	NOUN
bracis-28355	307	10	acknowledgements	acknowledgement	NOUN
bracis-28355	307	11	the	the	DET
bracis-28355	307	12	authors	author	NOUN
bracis-28355	307	13	would	would	AUX
bracis-28355	307	14	like	like	VERB
bracis-28355	307	15	to	to	PART
bracis-28355	307	16	thank	thank	VERB
bracis-28355	307	17	the	the	DET
bracis-28355	307	18	são	são	PROPN
bracis-28355	307	19	paulo	paulo	PROPN
bracis-28355	307	20	research	research	PROPN
bracis-28355	307	21	foundation	foundation	PROPN
bracis-28355	308	1	[	[	X
bracis-28355	308	2	grants	grant	VERB
bracis-28355	308	3	#	#	SYM
bracis-28355	308	4	2017/12646	2017/12646	NUM
bracis-28355	308	5	-	-	SYM
bracis-28355	308	6	3	3	NUM
bracis-28355	308	7	,	,	PUNCT
bracis-28355	308	8	#	#	SYM
bracis-28355	308	9	2020/16439	2020/16439	NUM
bracis-28355	308	10	-	-	SYM
bracis-28355	308	11	5	5	NUM
bracis-28355	308	12	]	]	PUNCT
bracis-28355	308	13	;	;	PUNCT
bracis-28355	308	14	the	the	DET
bracis-28355	308	15	national	national	PROPN
bracis-28355	308	16	council	council	PROPN
bracis-28355	308	17	for	for	ADP
bracis-28355	308	18	scientific	scientific	ADJ
bracis-28355	308	19	and	and	CCONJ
bracis-28355	308	20	technological	technological	ADJ
bracis-28355	308	21	development	development	NOUN
bracis-28355	309	1	[	[	X
bracis-28355	309	2	grants	grant	VERB
bracis-28355	309	3	#	#	SYM
bracis-28355	309	4	306454/2018	306454/2018	NUM
bracis-28355	309	5	-	-	SYM
bracis-28355	309	6	1	1	NUM
bracis-28355	309	7	,	,	PUNCT
bracis-28355	309	8	#	#	SYM
bracis-28355	309	9	161015/2021	161015/2021	NUM
bracis-28355	309	10	-	-	SYM
bracis-28355	309	11	2	2	NUM
bracis-28355	309	12	,	,	PUNCT
bracis-28355	309	13	#	#	SYM
bracis-28355	309	14	302530/2022	302530/2022	NUM
bracis-28355	309	15	-	-	SYM
bracis-28355	309	16	3	3	NUM
bracis-28355	309	17	,	,	PUNCT
bracis-28355	309	18	#	#	SYM
bracis-28355	309	19	304836/2022	304836/2022	NUM
bracis-28355	309	20	-	-	SYM
bracis-28355	309	21	2	2	NUM
bracis-28355	309	22	]	]	PUNCT
bracis-28355	309	23	;	;	PUNCT
bracis-28355	309	24	the	the	DET
bracis-28355	309	25	coordination	coordination	NOUN
bracis-28355	309	26	 	 	SPACE
bracis-28355	309	27	for	for	ADP
bracis-28355	309	28	the	the	DET
bracis-28355	309	29	improvement	improvement	NOUN
bracis-28355	309	30	of	of	ADP
bracis-28355	309	31	higher	high	ADJ
bracis-28355	309	32	education	education	NOUN
bracis-28355	309	33	personnel	personnel	NOUN
bracis-28355	309	34	;	;	PUNCT
bracis-28355	309	35	and	and	CCONJ
bracis-28355	309	36	santander	santander	PROPN
bracis-28355	309	37	bank	bank	PROPN
bracis-28355	309	38	,	,	PUNCT
bracis-28355	309	39	brazil	brazil	PROPN
bracis-28355	309	40	.	.	PUNCT
bracis-28355	310	1	author	author	NOUN
bracis-28355	310	2	information	information	NOUN
bracis-28355	310	3	authors	author	NOUN
bracis-28355	310	4	and	and	CCONJ
bracis-28355	310	5	affiliations	affiliation	NOUN
bracis-28355	310	6	institute	institute	PROPN
bracis-28355	310	7	of	of	ADP
bracis-28355	310	8	computing	computing	PROPN
bracis-28355	310	9	,	,	PUNCT
bracis-28355	310	10	university	university	PROPN
bracis-28355	310	11	of	of	ADP
bracis-28355	310	12	campinas	campinas	PROPN
bracis-28355	310	13	,	,	PUNCT
bracis-28355	310	14	campinas	campinas	PROPN
bracis-28355	310	15	,	,	PUNCT
bracis-28355	310	16	13083	13083	NUM
bracis-28355	310	17	-	-	SYM
bracis-28355	310	18	852	852	NUM
bracis-28355	310	19	,	,	PUNCT
bracis-28355	310	20	brazil	brazil	PROPN
bracis-28355	310	21	ana	ana	PROPN
bracis-28355	310	22	paula	paula	PROPN
bracis-28355	310	23	s.	s.	PROPN
bracis-28355	310	24	dantas	dantas	PROPN
bracis-28355	310	25	,	,	PUNCT
bracis-28355	310	26	 	 	SPACE
bracis-28355	310	27	gabriel	gabriel	PROPN
bracis-28355	310	28	bianchin	bianchin	PROPN
bracis-28355	310	29	de	de	PROPN
bracis-28355	310	30	oliveira	oliveira	PROPN
bracis-28355	310	31	,	,	PUNCT
bracis-28355	310	32	 	 	SPACE
bracis-28355	310	33	helio	helio	NOUN
bracis-28355	310	34	pedrini	pedrini	NOUN
bracis-28355	310	35	,	,	PUNCT
bracis-28355	310	36	 	 	SPACE
bracis-28355	310	37	cid	cid	PROPN
bracis-28355	310	38	c.	c.	PROPN
bracis-28355	310	39	de	de	PROPN
bracis-28355	310	40	souza	souza	PROPN
bracis-28355	310	41	 	 	SPACE
bracis-28355	310	42	&	&	CCONJ
bracis-28355	310	43	 	 	SPACE
bracis-28355	310	44	zanoni	zanoni	PROPN
bracis-28355	310	45	dias	dias	PROPN
bracis-28355	310	46	authors	author	NOUN
bracis-28355	310	47	ana	ana	PROPN
bracis-28355	310	48	paula	paula	PROPN
bracis-28355	310	49	s.	s.	PROPN
bracis-28355	310	50	dantasview	dantasview	PROPN
bracis-28355	310	51	author	author	NOUN
bracis-28355	310	52	publications	publication	NOUN
bracis-28355	310	53	search	search	NOUN
bracis-28355	310	54	author	author	NOUN
bracis-28355	310	55	on	on	ADP
bracis-28355	310	56	:	:	PUNCT
bracis-28355	310	57	pubmed	pubmed	PROPN
bracis-28355	310	58	 	 	SPACE
bracis-28355	310	59	google	google	PROPN
bracis-28355	310	60	scholar	scholar	NOUN
bracis-28355	310	61	gabriel	gabriel	PROPN
bracis-28355	310	62	bianchin	bianchin	PROPN
bracis-28355	310	63	de	de	PROPN
bracis-28355	310	64	oliveiraview	oliveiraview	PROPN
bracis-28355	310	65	author	author	NOUN
bracis-28355	310	66	publications	publication	NOUN
bracis-28355	310	67	search	search	NOUN
bracis-28355	310	68	author	author	NOUN
bracis-28355	310	69	on	on	ADP
bracis-28355	310	70	:	:	PUNCT
bracis-28355	310	71	pubmed	pubmed	PROPN
bracis-28355	310	72	 	 	SPACE
bracis-28355	310	73	google	google	PROPN
bracis-28355	310	74	scholar	scholar	NOUN
bracis-28355	310	75	helio	helio	NOUN
bracis-28355	310	76	pedriniview	pedriniview	NOUN
bracis-28355	310	77	author	author	NOUN
bracis-28355	310	78	publications	publication	NOUN
bracis-28355	310	79	search	search	NOUN
bracis-28355	310	80	author	author	NOUN
bracis-28355	310	81	on	on	ADP
bracis-28355	310	82	:	:	PUNCT
bracis-28355	310	83	pubmed	pubmed	PROPN
bracis-28355	310	84	 	 	SPACE
bracis-28355	310	85	google	google	PROPN
bracis-28355	310	86	scholar	scholar	NOUN
bracis-28355	310	87	cid	cid	PROPN
bracis-28355	310	88	c.	c.	PROPN
bracis-28355	310	89	de	de	PROPN
bracis-28355	310	90	souzaview	souzaview	PROPN
bracis-28355	310	91	author	author	NOUN
bracis-28355	310	92	publications	publication	NOUN
bracis-28355	310	93	search	search	NOUN
bracis-28355	310	94	author	author	NOUN
bracis-28355	310	95	on	on	ADP
bracis-28355	310	96	:	:	PUNCT
bracis-28355	310	97	pubmed	pubmed	PROPN
bracis-28355	310	98	 	 	SPACE
bracis-28355	310	99	google	google	PROPN
bracis-28355	310	100	scholar	scholar	NOUN
bracis-28355	310	101	zanoni	zanoni	PROPN
bracis-28355	310	102	diasview	diasview	NOUN
bracis-28355	310	103	author	author	NOUN
bracis-28355	310	104	publications	publication	NOUN
bracis-28355	310	105	search	search	NOUN
bracis-28355	310	106	author	author	NOUN
bracis-28355	310	107	on	on	ADP
bracis-28355	310	108	:	:	PUNCT
bracis-28355	310	109	pubmed	pubmed	PROPN
bracis-28355	310	110	 	 	SPACE
bracis-28355	310	111	google	google	PROPN
bracis-28355	310	112	scholar	scholar	NOUN
bracis-28355	310	113	corresponding	correspond	VERB
bracis-28355	310	114	author	author	NOUN
bracis-28355	310	115	correspondence	correspondence	NOUN
bracis-28355	310	116	to	to	ADP
bracis-28355	310	117	ana	ana	PROPN
bracis-28355	310	118	paula	paula	PROPN
bracis-28355	310	119	s.	s.	PROPN
bracis-28355	310	120	dantas	dantas	PROPN
bracis-28355	310	121	.	.	PUNCT
bracis-28355	311	1	editor	editor	NOUN
bracis-28355	311	2	information	information	NOUN
bracis-28355	311	3	editors	editor	NOUN
bracis-28355	311	4	and	and	CCONJ
bracis-28355	311	5	affiliations	affiliation	NOUN
bracis-28355	311	6	federal	federal	PROPN
bracis-28355	311	7	university	university	PROPN
bracis-28355	311	8	of	of	ADP
bracis-28355	311	9	são	são	PROPN
bracis-28355	311	10	carlos	carlos	PROPN
bracis-28355	311	11	,	,	PUNCT
bracis-28355	311	12	são	são	PROPN
bracis-28355	311	13	carlos	carlos	PROPN
bracis-28355	311	14	,	,	PUNCT
bracis-28355	311	15	brazil	brazil	PROPN
bracis-28355	311	16	murilo	murilo	PROPN
bracis-28355	311	17	c.	c.	PROPN
bracis-28355	311	18	naldi	naldi	PROPN
bracis-28355	311	19	centro	centro	PROPN
bracis-28355	311	20	universitario	universitario	PROPN
bracis-28355	311	21	da	da	PROPN
bracis-28355	311	22	fei	fei	PROPN
bracis-28355	311	23	,	,	PUNCT
bracis-28355	311	24	são	são	PROPN
bracis-28355	311	25	bernardo	bernardo	PROPN
bracis-28355	311	26	do	do	AUX
bracis-28355	311	27	campo	campo	PROPN
bracis-28355	311	28	,	,	PUNCT
bracis-28355	311	29	brazil	brazil	PROPN
bracis-28355	311	30	reinaldo	reinaldo	PROPN
bracis-28355	311	31	a.	a.	PROPN
bracis-28355	311	32	c.	c.	PROPN
bracis-28355	311	33	bianchi	bianchi	PROPN
bracis-28355	311	34	rights	right	NOUN
bracis-28355	311	35	and	and	CCONJ
bracis-28355	311	36	permissions	permission	NOUN
bracis-28355	311	37	reprints	reprint	NOUN
bracis-28355	311	38	and	and	CCONJ
bracis-28355	311	39	permissions	permission	VERB
bracis-28355	311	40	copyright	copyright	NOUN
bracis-28355	311	41	information	information	NOUN
bracis-28355	311	42	©	©	ADP
bracis-28355	311	43	2023	2023	NUM
bracis-28355	311	44	the	the	DET
bracis-28355	311	45	author(s	author(s	NOUN
bracis-28355	311	46	)	)	PUNCT
bracis-28355	311	47	,	,	PUNCT
bracis-28355	311	48	under	under	ADP
bracis-28355	311	49	exclusive	exclusive	ADJ
bracis-28355	311	50	license	license	NOUN
bracis-28355	311	51	to	to	ADP
bracis-28355	311	52	springer	springer	NOUN
bracis-28355	311	53	nature	nature	PROPN
bracis-28355	311	54	switzerland	switzerland	PROPN
bracis-28355	311	55	ag	ag	PROPN
bracis-28355	311	56	about	about	ADP
bracis-28355	311	57	this	this	DET
bracis-28355	311	58	paper	paper	NOUN
bracis-28355	311	59	cite	cite	VERB
bracis-28355	311	60	this	this	DET
bracis-28355	311	61	paper	paper	NOUN
bracis-28355	311	62	dantas	danta	NOUN
bracis-28355	311	63	,	,	PUNCT
bracis-28355	311	64	a.p.s	a.p.s	NOUN
bracis-28355	311	65	.	.	PUNCT
bracis-28355	311	66	,	,	PUNCT
bracis-28355	311	67	de	de	PROPN
bracis-28355	311	68	oliveira	oliveira	PROPN
bracis-28355	311	69	,	,	PUNCT
bracis-28355	311	70	g.b	g.b	PROPN
bracis-28355	311	71	.	.	PROPN
bracis-28355	311	72	,	,	PUNCT
bracis-28355	311	73	pedrini	pedrini	PROPN
bracis-28355	311	74	,	,	PUNCT
bracis-28355	311	75	h.	h.	PROPN
bracis-28355	311	76	,	,	PUNCT
bracis-28355	311	77	de	de	PROPN
bracis-28355	311	78	souza	souza	PROPN
bracis-28355	311	79	,	,	PUNCT
bracis-28355	311	80	c.c	c.c	PROPN
bracis-28355	311	81	.	.	PROPN
bracis-28355	311	82	,	,	PUNCT
bracis-28355	311	83	dias	dias	PROPN
bracis-28355	311	84	,	,	PUNCT
bracis-28355	311	85	z.	z.	PROPN
bracis-28355	311	86	(	(	PUNCT
bracis-28355	311	87	2023	2023	NUM
bracis-28355	311	88	)	)	PUNCT
bracis-28355	311	89	.	.	PUNCT
bracis-28355	312	1	the	the	DET
bracis-28355	312	2	multi	multi	ADJ
bracis-28355	312	3	-	-	ADJ
bracis-28355	312	4	attribute	attribute	NOUN
bracis-28355	312	5	fairer	fair	ADJ
bracis-28355	312	6	cover	cover	NOUN
bracis-28355	312	7	problem	problem	NOUN
bracis-28355	312	8	.	.	PUNCT
bracis-28355	313	1	in	in	ADP
bracis-28355	313	2	:	:	PUNCT
bracis-28355	313	3	naldi	naldi	PROPN
bracis-28355	313	4	,	,	PUNCT
bracis-28355	313	5	m.c	m.c	PROPN
bracis-28355	313	6	.	.	PROPN
bracis-28355	313	7	,	,	PUNCT
bracis-28355	313	8	bianchi	bianchi	PROPN
bracis-28355	313	9	,	,	PUNCT
bracis-28355	313	10	r.a.c	r.a.c	ADP
bracis-28355	313	11	.	.	PUNCT
bracis-28355	313	12	(	(	PUNCT
bracis-28355	313	13	eds	ed	NOUN
bracis-28355	313	14	)	)	PUNCT
bracis-28355	313	15	intelligent	intelligent	ADJ
bracis-28355	313	16	systems	system	NOUN
bracis-28355	313	17	.	.	PUNCT
bracis-28355	314	1	bracis	bracis	PROPN
bracis-28355	314	2	2023	2023	NUM
bracis-28355	314	3	.	.	PUNCT
bracis-28355	315	1	lecture	lecture	NOUN
bracis-28355	315	2	notes	note	NOUN
bracis-28355	315	3	in	in	ADP
bracis-28355	315	4	computer	computer	NOUN
bracis-28355	315	5	science	science	NOUN
bracis-28355	315	6	(	(	PUNCT
bracis-28355	315	7	)	)	PUNCT
bracis-28355	315	8	,	,	PUNCT
bracis-28355	315	9	vol	vol	NOUN
bracis-28355	315	10	14195	14195	NUM
bracis-28355	315	11	.	.	PUNCT
bracis-28355	316	1	springer	springer	NOUN
bracis-28355	316	2	,	,	PUNCT
bracis-28355	316	3	cham	cham	PROPN
bracis-28355	316	4	.	.	PUNCT
bracis-28355	317	1	https://doi.org/10.1007/978-3-031-45368-7_11	https://doi.org/10.1007/978-3-031-45368-7_11	NOUN
bracis-28355	317	2	download	download	NOUN
bracis-28355	317	3	citation	citation	NOUN
bracis-28355	317	4	.ris	.ris	PUNCT
bracis-28355	318	1	.enw	.enw	PROPN
bracis-28355	318	2	.bib	.bib	PUNCT
bracis-28355	319	1	doi	doi	PROPN
bracis-28355	319	2	:	:	PUNCT
bracis-28355	319	3	https://doi.org/10.1007/978-3-031-45368-7_11	https://doi.org/10.1007/978-3-031-45368-7_11	VERB
bracis-28355	319	4	published	publish	VERB
bracis-28355	319	5	:	:	PUNCT
bracis-28355	319	6	12	12	NUM
bracis-28355	319	7	october	october	PROPN
bracis-28355	319	8	2023	2023	NUM
bracis-28355	319	9	publisher	publisher	NOUN
bracis-28355	319	10	name	name	NOUN
bracis-28355	319	11	:	:	PUNCT
bracis-28355	319	12	springer	springer	NOUN
bracis-28355	319	13	,	,	PUNCT
bracis-28355	319	14	cham	cham	PROPN
bracis-28355	319	15	print	print	PROPN
bracis-28355	319	16	isbn	isbn	PROPN
bracis-28355	319	17	:	:	PUNCT
bracis-28355	319	18	978	978	NUM
bracis-28355	319	19	-	-	SYM
bracis-28355	319	20	3	3	NUM
bracis-28355	319	21	-	-	PUNCT
bracis-28355	319	22	031	031	NUM
bracis-28355	319	23	-	-	PUNCT
bracis-28355	319	24	45367	45367	NUM
bracis-28355	319	25	-	-	PUNCT
bracis-28355	319	26	0	0	NUM
bracis-28355	319	27	online	online	ADJ
bracis-28355	319	28	isbn	isbn	NOUN
bracis-28355	319	29	:	:	PUNCT
bracis-28355	319	30	978	978	NUM
bracis-28355	319	31	-	-	SYM
bracis-28355	319	32	3	3	NUM
bracis-28355	319	33	-	-	PUNCT
bracis-28355	319	34	031	031	NUM
bracis-28355	319	35	-	-	PUNCT
bracis-28355	319	36	45368	45368	NUM
bracis-28355	319	37	-	-	PUNCT
bracis-28355	319	38	7	7	NUM
bracis-28355	319	39	ebook	ebook	NOUN
bracis-28355	319	40	packages	package	NOUN
bracis-28355	319	41	:	:	PUNCT
bracis-28355	319	42	computer	computer	NOUN
bracis-28355	319	43	sciencecomputer	sciencecomputer	NOUN
bracis-28355	319	44	science	science	NOUN
bracis-28355	319	45	(	(	PUNCT
bracis-28355	319	46	r0	r0	NOUN
bracis-28355	319	47	)	)	PUNCT
bracis-28355	319	48	share	share	VERB
bracis-28355	319	49	this	this	DET
bracis-28355	319	50	paper	paper	NOUN
bracis-28355	319	51	anyone	anyone	PRON
bracis-28355	319	52	you	you	PRON
bracis-28355	319	53	share	share	VERB
bracis-28355	319	54	the	the	DET
bracis-28355	319	55	following	follow	VERB
bracis-28355	319	56	link	link	NOUN
bracis-28355	319	57	with	with	ADP
bracis-28355	319	58	will	will	AUX
bracis-28355	319	59	be	be	AUX
bracis-28355	319	60	able	able	ADJ
bracis-28355	319	61	to	to	PART
bracis-28355	319	62	read	read	VERB
bracis-28355	319	63	this	this	DET
bracis-28355	319	64	content	content	NOUN
bracis-28355	319	65	:	:	PUNCT
bracis-28355	319	66	get	get	VERB
bracis-28355	319	67	shareable	shareable	ADJ
bracis-28355	319	68	linksorry	linksorry	NOUN
bracis-28355	319	69	,	,	PUNCT
bracis-28355	319	70	a	a	DET
bracis-28355	319	71	shareable	shareable	ADJ
bracis-28355	319	72	link	link	NOUN
bracis-28355	319	73	is	be	AUX
bracis-28355	319	74	not	not	PART
bracis-28355	319	75	currently	currently	ADV
bracis-28355	319	76	available	available	ADJ
bracis-28355	319	77	for	for	ADP
bracis-28355	319	78	this	this	DET
bracis-28355	319	79	article	article	NOUN
bracis-28355	319	80	.	.	PUNCT
bracis-28355	320	1	copy	copy	VERB
bracis-28355	320	2	shareable	shareable	ADJ
bracis-28355	320	3	link	link	NOUN
bracis-28355	320	4	to	to	PART
bracis-28355	320	5	clipboard	clipboard	NOUN
bracis-28355	320	6	provided	provide	VERB
bracis-28355	320	7	by	by	ADP
bracis-28355	320	8	the	the	DET
bracis-28355	320	9	springer	springer	NOUN
bracis-28355	320	10	nature	nature	PROPN
bracis-28355	320	11	sharedit	sharedit	PROPN
bracis-28355	320	12	content	content	NOUN
bracis-28355	320	13	-	-	PUNCT
bracis-28355	320	14	sharing	share	VERB
bracis-28355	320	15	initiative	initiative	NOUN
bracis-28355	320	16	keywords	keyword	NOUN
bracis-28355	320	17	algorithmic	algorithmic	ADJ
bracis-28355	320	18	fairness	fairness	NOUN
bracis-28355	320	19	fair	fair	ADJ
bracis-28355	320	20	coverage	coverage	NOUN
bracis-28355	320	21	integer	integer	NOUN
bracis-28355	320	22	linear	linear	PROPN
bracis-28355	320	23	programming	programming	NOUN
bracis-28355	320	24	publish	publish	NOUN
bracis-28355	320	25	with	with	ADP
bracis-28355	320	26	us	us	PROPN
bracis-28355	320	27	policies	policy	NOUN
bracis-28355	320	28	and	and	CCONJ
bracis-28355	320	29	ethics	ethic	NOUN
bracis-28355	320	30	search	search	NOUN
bracis-28355	320	31	search	search	NOUN
bracis-28355	320	32	by	by	ADP
bracis-28355	320	33	keyword	keyword	NOUN
bracis-28355	320	34	or	or	CCONJ
bracis-28355	320	35	author	author	NOUN
bracis-28355	320	36	search	search	NOUN
bracis-28355	320	37	navigation	navigation	NOUN
bracis-28355	320	38	find	find	VERB
bracis-28355	320	39	a	a	DET
bracis-28355	320	40	journal	journal	NOUN
bracis-28355	320	41	publish	publish	VERB
bracis-28355	320	42	with	with	ADP
bracis-28355	320	43	us	we	PRON
bracis-28355	320	44	track	track	VERB
bracis-28355	320	45	your	your	PRON
bracis-28355	320	46	research	research	NOUN
bracis-28355	320	47	discover	discover	VERB
bracis-28355	320	48	content	content	NOUN
bracis-28355	320	49	journals	journal	NOUN
bracis-28355	320	50	a	a	DET
bracis-28355	320	51	-	-	PUNCT
bracis-28355	320	52	z	z	NOUN
bracis-28355	320	53	books	book	NOUN
bracis-28355	320	54	a	a	DET
bracis-28355	320	55	-	-	PUNCT
bracis-28355	320	56	z	z	NOUN
bracis-28355	320	57	publish	publish	NOUN
bracis-28355	320	58	with	with	ADP
bracis-28355	320	59	us	us	PROPN
bracis-28355	320	60	journal	journal	PROPN
bracis-28355	320	61	finder	finder	PROPN
bracis-28355	320	62	publish	publish	VERB
bracis-28355	320	63	your	your	PRON
bracis-28355	320	64	research	research	NOUN
bracis-28355	320	65	language	language	NOUN
bracis-28355	320	66	editing	edit	VERB
bracis-28355	320	67	open	open	ADJ
bracis-28355	320	68	access	access	NOUN
bracis-28355	320	69	publishing	publishing	NOUN
bracis-28355	320	70	products	product	NOUN
bracis-28355	320	71	and	and	CCONJ
bracis-28355	320	72	services	service	NOUN
bracis-28355	320	73	our	our	PRON
bracis-28355	320	74	products	product	NOUN
bracis-28355	320	75	librarians	librarian	VERB
bracis-28355	320	76	societies	society	NOUN
bracis-28355	320	77	partners	partner	NOUN
bracis-28355	320	78	and	and	CCONJ
bracis-28355	320	79	advertisers	advertiser	NOUN
bracis-28355	320	80	our	our	PRON
bracis-28355	320	81	brands	brand	NOUN
bracis-28355	320	82	springer	springer	NOUN
bracis-28355	320	83	nature	nature	PROPN
bracis-28355	320	84	portfolio	portfolio	PROPN
bracis-28355	320	85	bmc	bmc	PROPN
bracis-28355	320	86	palgrave	palgrave	PROPN
bracis-28355	320	87	macmillan	macmillan	PROPN
bracis-28355	320	88	apress	apress	PROPN
bracis-28355	320	89	discover	discover	VERB
bracis-28355	320	90	your	your	PRON
bracis-28355	320	91	privacy	privacy	NOUN
bracis-28355	320	92	choices	choice	NOUN
bracis-28355	320	93	/	/	SYM
bracis-28355	320	94	manage	manage	NOUN
bracis-28355	320	95	cookies	cookie	NOUN
bracis-28355	320	96	your	your	PRON
bracis-28355	320	97	us	us	PROPN
bracis-28355	321	1	state	state	NOUN
bracis-28355	321	2	privacy	privacy	NOUN
bracis-28355	321	3	rights	right	NOUN
bracis-28355	321	4	accessibility	accessibility	NOUN
bracis-28355	321	5	statement	statement	NOUN
bracis-28355	321	6	terms	term	NOUN
bracis-28355	321	7	and	and	CCONJ
bracis-28355	321	8	conditions	condition	NOUN
bracis-28355	321	9	privacy	privacy	NOUN
bracis-28355	321	10	policy	policy	NOUN
bracis-28355	321	11	help	help	NOUN
bracis-28355	321	12	and	and	CCONJ
bracis-28355	321	13	support	support	VERB
bracis-28355	321	14	legal	legal	ADJ
bracis-28355	321	15	notice	notice	NOUN
bracis-28355	321	16	cancel	cancel	VERB
bracis-28355	321	17	contracts	contract	NOUN
bracis-28355	321	18	here	here	ADV
bracis-28355	321	19	129.74.145.123	129.74.145.123	NUM
bracis-28355	321	20	hesburgh	hesburgh	PROPN
bracis-28355	321	21	library	library	PROPN
bracis-28355	321	22	er	er	INTJ
bracis-28355	321	23	unit	unit	NOUN
bracis-28355	321	24	(	(	PUNCT
bracis-28355	321	25	3005732405	3005732405	NUM
bracis-28355	321	26	)	)	PUNCT
bracis-28355	321	27	northeast	northeast	ADJ
bracis-28355	321	28	research	research	NOUN
bracis-28355	321	29	libraries	library	NOUN
bracis-28355	321	30	(	(	PUNCT
bracis-28355	321	31	nerl	nerl	PROPN
bracis-28355	321	32	)	)	PUNCT
bracis-28355	321	33	(	(	PUNCT
bracis-28355	321	34	8200828607	8200828607	NUM
bracis-28355	321	35	)	)	PUNCT
bracis-28355	321	36	nerl	nerl	VERB
bracis-28355	321	37	ta	ta	X
bracis-28355	321	38	account	account	NOUN
bracis-28355	321	39	(	(	PUNCT
bracis-28355	321	40	3006206169	3006206169	NUM
bracis-28355	321	41	)	)	PUNCT
bracis-28355	321	42	university	university	NOUN
bracis-28355	321	43	of	of	ADP
bracis-28355	321	44	notre	notre	PROPN
bracis-28355	321	45	dame	dame	PROPN
bracis-28355	321	46	hesburgh	hesburgh	PROPN
bracis-28355	321	47	library	library	NOUN
bracis-28355	321	48	(	(	PUNCT
bracis-28355	321	49	3000184373	3000184373	NUM
bracis-28355	321	50	)	)	PUNCT
bracis-28355	322	1	©	©	ADP
bracis-28355	322	2	2025	2025	NUM
bracis-28355	322	3	springer	springer	NOUN
bracis-28355	322	4	nature	nature	NOUN