id	sid	tid	token	lemma	pos
ejpam-4849	1	1	european	european	PROPN
ejpam-4849	1	2	journal	journal	PROPN
ejpam-4849	1	3	of	of	ADP
ejpam-4849	1	4	pure	pure	ADJ
ejpam-4849	1	5	and	and	CCONJ
ejpam-4849	1	6	applied	apply	VERB
ejpam-4849	1	7	mathematics	mathematic	NOUN
ejpam-4849	1	8	vol	vol	NOUN
ejpam-4849	1	9	.	.	PUNCT
ejpam-4849	2	1	16	16	NUM
ejpam-4849	2	2	,	,	PUNCT
ejpam-4849	2	3	no	no	INTJ
ejpam-4849	2	4	.	.	NOUN
ejpam-4849	2	5	3	3	NUM
ejpam-4849	2	6	,	,	PUNCT
ejpam-4849	2	7	2023	2023	NUM
ejpam-4849	2	8	,	,	PUNCT
ejpam-4849	2	9	1624	1624	NUM
ejpam-4849	2	10	-	-	SYM
ejpam-4849	2	11	1633	1633	NUM
ejpam-4849	2	12	issn	issn	PROPN
ejpam-4849	2	13	1307	1307	NUM
ejpam-4849	2	14	-	-	SYM
ejpam-4849	2	15	5543	5543	NUM
ejpam-4849	2	16	–	–	PUNCT
ejpam-4849	2	17	ejpam.com	ejpam.com	X
ejpam-4849	2	18	published	publish	VERB
ejpam-4849	2	19	by	by	ADP
ejpam-4849	2	20	new	new	PROPN
ejpam-4849	2	21	york	york	PROPN
ejpam-4849	2	22	business	business	PROPN
ejpam-4849	2	23	global	global	ADJ
ejpam-4849	2	24	image	image	NOUN
ejpam-4849	2	25	impulse	impulse	ADJ
ejpam-4849	2	26	noise	noise	NOUN
ejpam-4849	2	27	reduction	reduction	NOUN
ejpam-4849	2	28	using	use	VERB
ejpam-4849	2	29	a	a	DET
ejpam-4849	2	30	conjugate	conjugate	ADJ
ejpam-4849	2	31	gradient	gradient	NOUN
ejpam-4849	2	32	of	of	ADP
ejpam-4849	2	33	alternative	alternative	ADJ
ejpam-4849	2	34	parameter	parameter	PROPN
ejpam-4849	2	35	hawraz	hawraz	PROPN
ejpam-4849	2	36	n.	n.	PROPN
ejpam-4849	2	37	jabbar1	jabbar1	PROPN
ejpam-4849	2	38	,	,	PUNCT
ejpam-4849	2	39	yeldez	yeldez	PROPN
ejpam-4849	2	40	j.	j.	PROPN
ejpam-4849	2	41	subhi2	subhi2	PROPN
ejpam-4849	2	42	,	,	PUNCT
ejpam-4849	2	43	basim	basim	PROPN
ejpam-4849	2	44	a.	a.	PROPN
ejpam-4849	2	45	hassan3,∗	hassan3,∗	PROPN
ejpam-4849	2	46	1	1	NUM
ejpam-4849	2	47	department	department	NOUN
ejpam-4849	2	48	of	of	ADP
ejpam-4849	2	49	mathematics	mathematic	NOUN
ejpam-4849	2	50	,	,	PUNCT
ejpam-4849	2	51	college	college	NOUN
ejpam-4849	2	52	of	of	ADP
ejpam-4849	2	53	science	science	NOUN
ejpam-4849	2	54	,	,	PUNCT
ejpam-4849	2	55	university	university	PROPN
ejpam-4849	2	56	of	of	ADP
ejpam-4849	2	57	kirkuk	kirkuk	PROPN
ejpam-4849	2	58	,	,	PUNCT
ejpam-4849	2	59	iraq	iraq	PROPN
ejpam-4849	2	60	2	2	NUM
ejpam-4849	2	61	department	department	NOUN
ejpam-4849	2	62	of	of	ADP
ejpam-4849	2	63	petroleum	petroleum	NOUN
ejpam-4849	2	64	,	,	PUNCT
ejpam-4849	2	65	college	college	NOUN
ejpam-4849	2	66	of	of	ADP
ejpam-4849	2	67	engineering	engineering	NOUN
ejpam-4849	2	68	,	,	PUNCT
ejpam-4849	2	69	university	university	PROPN
ejpam-4849	2	70	of	of	ADP
ejpam-4849	2	71	al	al	PROPN
ejpam-4849	2	72	-	-	PUNCT
ejpam-4849	2	73	kitab	kitab	PROPN
ejpam-4849	2	74	,	,	PUNCT
ejpam-4849	2	75	iraq	iraq	PROPN
ejpam-4849	2	76	3	3	NUM
ejpam-4849	2	77	department	department	NOUN
ejpam-4849	2	78	of	of	ADP
ejpam-4849	2	79	mathematics	mathematics	PROPN
ejpam-4849	2	80	,	,	PUNCT
ejpam-4849	2	81	college	college	NOUN
ejpam-4849	2	82	of	of	ADP
ejpam-4849	2	83	computers	computer	NOUN
ejpam-4849	2	84	sciences	sciences	PROPN
ejpam-4849	2	85	and	and	CCONJ
ejpam-4849	2	86	mathematics	mathematic	NOUN
ejpam-4849	2	87	,	,	PUNCT
ejpam-4849	2	88	university	university	PROPN
ejpam-4849	2	89	of	of	ADP
ejpam-4849	2	90	mosul	mosul	PROPN
ejpam-4849	2	91	,	,	PUNCT
ejpam-4849	2	92	iraq	iraq	PROPN
ejpam-4849	2	93	abstract	abstract	NOUN
ejpam-4849	2	94	.	.	PUNCT
ejpam-4849	3	1	conjugate	conjugate	ADJ
ejpam-4849	3	2	gradient	gradient	ADJ
ejpam-4849	3	3	approaches	approach	NOUN
ejpam-4849	3	4	emphasise	emphasise	VERB
ejpam-4849	3	5	the	the	DET
ejpam-4849	3	6	conjugate	conjugate	ADJ
ejpam-4849	3	7	formula	formula	NOUN
ejpam-4849	3	8	.	.	PUNCT
ejpam-4849	4	1	this	this	DET
ejpam-4849	4	2	study	study	NOUN
ejpam-4849	4	3	creates	create	VERB
ejpam-4849	4	4	a	a	DET
ejpam-4849	4	5	new	new	ADJ
ejpam-4849	4	6	conjugate	conjugate	ADJ
ejpam-4849	4	7	coefficient	coefficient	NOUN
ejpam-4849	4	8	for	for	ADP
ejpam-4849	4	9	the	the	DET
ejpam-4849	4	10	conjugate	conjugate	ADJ
ejpam-4849	4	11	gradient	gradient	NOUN
ejpam-4849	4	12	approach	approach	NOUN
ejpam-4849	4	13	to	to	PART
ejpam-4849	4	14	restore	restore	VERB
ejpam-4849	4	15	pictures	picture	NOUN
ejpam-4849	4	16	using	use	VERB
ejpam-4849	4	17	perry	perry	PROPN
ejpam-4849	4	18	’s	’s	PART
ejpam-4849	4	19	conjugacy	conjugacy	ADJ
ejpam-4849	4	20	condition	condition	NOUN
ejpam-4849	4	21	and	and	CCONJ
ejpam-4849	4	22	a	a	DET
ejpam-4849	4	23	quadratic	quadratic	ADJ
ejpam-4849	4	24	model	model	NOUN
ejpam-4849	4	25	.	.	PUNCT
ejpam-4849	5	1	algorithms	algorithm	NOUN
ejpam-4849	5	2	have	have	VERB
ejpam-4849	5	3	global	global	ADJ
ejpam-4849	5	4	convergence	convergence	NOUN
ejpam-4849	5	5	and	and	CCONJ
ejpam-4849	5	6	descent	descent	NOUN
ejpam-4849	5	7	.	.	PUNCT
ejpam-4849	6	1	the	the	DET
ejpam-4849	6	2	new	new	ADJ
ejpam-4849	6	3	technique	technique	NOUN
ejpam-4849	6	4	performed	perform	VERB
ejpam-4849	6	5	better	well	ADV
ejpam-4849	6	6	in	in	ADP
ejpam-4849	6	7	numerical	numerical	ADJ
ejpam-4849	6	8	testing	testing	NOUN
ejpam-4849	6	9	.	.	PUNCT
ejpam-4849	7	1	the	the	DET
ejpam-4849	7	2	new	new	ADJ
ejpam-4849	7	3	conjugate	conjugate	ADJ
ejpam-4849	7	4	gradient	gradient	NOUN
ejpam-4849	7	5	technique	technique	NOUN
ejpam-4849	7	6	outperforms	outperform	VERB
ejpam-4849	7	7	the	the	DET
ejpam-4849	7	8	fr	fr	ADJ
ejpam-4849	7	9	method	method	NOUN
ejpam-4849	7	10	.	.	PUNCT
ejpam-4849	8	1	the	the	DET
ejpam-4849	8	2	new	new	ADJ
ejpam-4849	8	3	technique	technique	NOUN
ejpam-4849	8	4	performed	perform	VERB
ejpam-4849	8	5	better	well	ADV
ejpam-4849	8	6	in	in	ADP
ejpam-4849	8	7	numerical	numerical	ADJ
ejpam-4849	8	8	testing	testing	NOUN
ejpam-4849	8	9	.	.	PUNCT
ejpam-4849	9	1	the	the	DET
ejpam-4849	9	2	new	new	ADJ
ejpam-4849	9	3	conjugate	conjugate	ADJ
ejpam-4849	9	4	gradient	gradient	NOUN
ejpam-4849	9	5	technique	technique	NOUN
ejpam-4849	9	6	outperforms	outperform	VERB
ejpam-4849	9	7	the	the	DET
ejpam-4849	9	8	fr	fr	ADJ
ejpam-4849	9	9	method	method	NOUN
ejpam-4849	9	10	.	.	PUNCT
ejpam-4849	10	1	2020	2020	NUM
ejpam-4849	10	2	mathematics	mathematic	NOUN
ejpam-4849	10	3	subject	subject	NOUN
ejpam-4849	10	4	classifications	classification	NOUN
ejpam-4849	10	5	:	:	PUNCT
ejpam-4849	10	6	65k10	65k10	NUM
ejpam-4849	10	7	,	,	PUNCT
ejpam-4849	10	8	49m37	49m37	NUM
ejpam-4849	10	9	,	,	PUNCT
ejpam-4849	10	10	90c06	90c06	NUM
ejpam-4849	10	11	key	key	ADJ
ejpam-4849	10	12	words	word	NOUN
ejpam-4849	10	13	and	and	CCONJ
ejpam-4849	10	14	phrases	phrase	NOUN
ejpam-4849	10	15	:	:	PUNCT
ejpam-4849	10	16	alternative	alternative	ADJ
ejpam-4849	10	17	parameter	parameter	PROPN
ejpam-4849	10	18	gradient	gradient	NOUN
ejpam-4849	10	19	,	,	PUNCT
ejpam-4849	10	20	global	global	ADJ
ejpam-4849	10	21	convergence	convergence	NOUN
ejpam-4849	10	22	,	,	PUNCT
ejpam-4849	10	23	image	image	NOUN
ejpam-4849	10	24	restoration	restoration	NOUN
ejpam-4849	10	25	problems	problem	NOUN
ejpam-4849	10	26	1	1	NUM
ejpam-4849	10	27	.	.	PUNCT
ejpam-4849	11	1	introduction	introduction	NOUN
ejpam-4849	11	2	gradient	gradient	NOUN
ejpam-4849	11	3	methods	method	NOUN
ejpam-4849	11	4	are	be	AUX
ejpam-4849	11	5	a	a	DET
ejpam-4849	11	6	type	type	NOUN
ejpam-4849	11	7	of	of	ADP
ejpam-4849	11	8	first	first	ADJ
ejpam-4849	11	9	-	-	PUNCT
ejpam-4849	11	10	order	order	NOUN
ejpam-4849	11	11	approach	approach	NOUN
ejpam-4849	11	12	that	that	PRON
ejpam-4849	11	13	have	have	AUX
ejpam-4849	11	14	been	be	AUX
ejpam-4849	11	15	proven	prove	VERB
ejpam-4849	11	16	to	to	PART
ejpam-4849	11	17	be	be	AUX
ejpam-4849	11	18	effective	effective	ADJ
ejpam-4849	11	19	in	in	ADP
ejpam-4849	11	20	solving	solve	VERB
ejpam-4849	11	21	nonlinear	nonlinear	ADJ
ejpam-4849	11	22	optimization	optimization	NOUN
ejpam-4849	11	23	problems	problem	NOUN
ejpam-4849	11	24	,	,	PUNCT
ejpam-4849	11	25	which	which	PRON
ejpam-4849	11	26	are	be	AUX
ejpam-4849	11	27	often	often	ADV
ejpam-4849	11	28	very	very	ADV
ejpam-4849	11	29	large	large	ADJ
ejpam-4849	11	30	in	in	ADP
ejpam-4849	11	31	size	size	NOUN
ejpam-4849	11	32	.	.	PUNCT
ejpam-4849	12	1	these	these	DET
ejpam-4849	12	2	methods	method	NOUN
ejpam-4849	12	3	are	be	AUX
ejpam-4849	12	4	commonly	commonly	ADV
ejpam-4849	12	5	used	use	VERB
ejpam-4849	12	6	in	in	ADP
ejpam-4849	12	7	image	image	NOUN
ejpam-4849	12	8	processing	processing	NOUN
ejpam-4849	12	9	applications	application	NOUN
ejpam-4849	12	10	.	.	PUNCT
ejpam-4849	13	1	adaptive	adaptive	ADJ
ejpam-4849	13	2	median	median	ADJ
ejpam-4849	13	3	filter	filter	NOUN
ejpam-4849	13	4	and	and	CCONJ
ejpam-4849	13	5	variational	variational	ADJ
ejpam-4849	13	6	technique	technique	NOUN
ejpam-4849	13	7	benefits	benefit	NOUN
ejpam-4849	13	8	are	be	AUX
ejpam-4849	13	9	combined	combine	VERB
ejpam-4849	13	10	in	in	ADP
ejpam-4849	13	11	a	a	DET
ejpam-4849	13	12	two	two	NUM
ejpam-4849	13	13	-	-	PUNCT
ejpam-4849	13	14	phase	phase	NOUN
ejpam-4849	13	15	strategy	strategy	NOUN
ejpam-4849	13	16	in	in	ADP
ejpam-4849	13	17	[	[	X
ejpam-4849	13	18	1	1	NUM
ejpam-4849	13	19	]	]	PUNCT
ejpam-4849	13	20	.	.	PUNCT
ejpam-4849	14	1	the	the	DET
ejpam-4849	14	2	first	first	ADJ
ejpam-4849	14	3	step	step	NOUN
ejpam-4849	14	4	for	for	ADP
ejpam-4849	14	5	salt	salt	NOUN
ejpam-4849	14	6	-	-	PUNCT
ejpam-4849	14	7	and	and	CCONJ
ejpam-4849	14	8	-	-	PUNCT
ejpam-4849	14	9	pepper	pepper	NOUN
ejpam-4849	14	10	noise	noise	NOUN
ejpam-4849	14	11	uses	use	VERB
ejpam-4849	14	12	an	an	DET
ejpam-4849	14	13	adaptive	adaptive	ADJ
ejpam-4849	14	14	median	median	ADJ
ejpam-4849	14	15	filter	filter	NOUN
ejpam-4849	14	16	[	[	X
ejpam-4849	14	17	15	15	NUM
ejpam-4849	14	18	]	]	PUNCT
ejpam-4849	14	19	.	.	PUNCT
ejpam-4849	15	1	let	let	AUX
ejpam-4849	15	2	x	x	PRON
ejpam-4849	15	3	represent	represent	VERB
ejpam-4849	15	4	the	the	DET
ejpam-4849	15	5	genuine	genuine	ADJ
ejpam-4849	15	6	picture	picture	NOUN
ejpam-4849	15	7	and	and	CCONJ
ejpam-4849	15	8	a	a	DET
ejpam-4849	15	9	=	=	X
ejpam-4849	15	10	{	{	PUNCT
ejpam-4849	15	11	1	1	NUM
ejpam-4849	15	12	,	,	PUNCT
ejpam-4849	15	13	2	2	NUM
ejpam-4849	15	14	,	,	PUNCT
ejpam-4849	15	15	3	3	NUM
ejpam-4849	15	16	,	,	PUNCT
ejpam-4849	15	17	·	·	PUNCT
ejpam-4849	15	18	·	·	PUNCT
ejpam-4849	15	19	·	·	PUNCT
ejpam-4849	15	20	m}×{1	m}×{1	NOUN
ejpam-4849	15	21	,	,	PUNCT
ejpam-4849	15	22	2	2	NUM
ejpam-4849	15	23	,	,	PUNCT
ejpam-4849	15	24	3	3	NUM
ejpam-4849	15	25	,	,	PUNCT
ejpam-4849	15	26	·	·	PUNCT
ejpam-4849	15	27	·	·	PUNCT
ejpam-4849	15	28	·	·	PUNCT
ejpam-4849	15	29	n	n	CCONJ
ejpam-4849	15	30	}	}	PUNCT
ejpam-4849	15	31	represent	represent	VERB
ejpam-4849	15	32	x	x	PROPN
ejpam-4849	15	33	’s	’s	PART
ejpam-4849	15	34	index	index	NOUN
ejpam-4849	15	35	set	set	NOUN
ejpam-4849	15	36	.	.	PUNCT
ejpam-4849	16	1	the	the	DET
ejpam-4849	16	2	collection	collection	NOUN
ejpam-4849	16	3	of	of	ADP
ejpam-4849	16	4	noise	noise	NOUN
ejpam-4849	16	5	pixel	pixel	PROPN
ejpam-4849	16	6	indices	index	NOUN
ejpam-4849	16	7	discovered	discover	VERB
ejpam-4849	16	8	in	in	ADP
ejpam-4849	16	9	the	the	DET
ejpam-4849	16	10	first	first	ADJ
ejpam-4849	16	11	phase	phase	NOUN
ejpam-4849	16	12	is	be	AUX
ejpam-4849	16	13	denoted	denote	VERB
ejpam-4849	16	14	by	by	ADP
ejpam-4849	16	15	the	the	DET
ejpam-4849	16	16	symbol	symbol	NOUN
ejpam-4849	16	17	n	n	PROPN
ejpam-4849	16	18	⊂	⊂	PROPN
ejpam-4849	16	19	a.	a.	NOUN
ejpam-4849	17	1	the	the	DET
ejpam-4849	17	2	current	current	ADJ
ejpam-4849	17	3	challenge	challenge	NOUN
ejpam-4849	17	4	is	be	AUX
ejpam-4849	17	5	to	to	PART
ejpam-4849	17	6	reduce	reduce	VERB
ejpam-4849	17	7	the	the	DET
ejpam-4849	17	8	functional	functional	ADJ
ejpam-4849	17	9	as	as	ADV
ejpam-4849	17	10	much	much	ADV
ejpam-4849	17	11	as	as	ADP
ejpam-4849	17	12	feasible	feasible	ADJ
ejpam-4849	17	13	:	:	PUNCT
ejpam-4849	17	14	fα(u	fα(u	X
ejpam-4849	17	15	)	)	PUNCT
ejpam-4849	17	16	=	=	PUNCT
ejpam-4849	17	17	∑	∑	PUNCT
ejpam-4849	17	18	(	(	PUNCT
ejpam-4849	17	19	i	i	PROPN
ejpam-4849	17	20	,	,	PUNCT
ejpam-4849	17	21	j)∈n	j)∈n	PROPN
ejpam-4849	17	22	[	[	PUNCT
ejpam-4849	17	23	|ui	|ui	X
ejpam-4849	17	24	,	,	PUNCT
ejpam-4849	17	25	j	j	PROPN
ejpam-4849	17	26	−	−	PROPN
ejpam-4849	17	27	yi	yi	PROPN
ejpam-4849	17	28	,	,	PUNCT
ejpam-4849	17	29	j	j	PROPN
ejpam-4849	17	30	|+	|+	NOUN
ejpam-4849	17	31	β	β	X
ejpam-4849	17	32	2	2	NUM
ejpam-4849	17	33	(	(	PUNCT
ejpam-4849	17	34	2×	2×	NUM
ejpam-4849	17	35	s1	s1	PROPN
ejpam-4849	17	36	i	i	PROPN
ejpam-4849	17	37	,	,	PUNCT
ejpam-4849	17	38	j	j	PROPN
ejpam-4849	17	39	+	+	CCONJ
ejpam-4849	17	40	s2	s2	VERB
ejpam-4849	17	41	i	i	PROPN
ejpam-4849	17	42	,	,	PUNCT
ejpam-4849	17	43	j	j	PROPN
ejpam-4849	17	44	)	)	PUNCT
ejpam-4849	17	45	]	]	PUNCT
ejpam-4849	18	1	(	(	PUNCT
ejpam-4849	18	2	1	1	X
ejpam-4849	18	3	)	)	PUNCT
ejpam-4849	18	4	∗corresponding	∗corresponde	VERB
ejpam-4849	18	5	author	author	NOUN
ejpam-4849	18	6	.	.	PUNCT
ejpam-4849	19	1	doi	doi	NOUN
ejpam-4849	19	2	:	:	PUNCT
ejpam-4849	19	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4849	https://doi.org/10.29020/nybg.ejpam.v16i3.4849	ADJ
ejpam-4849	19	4	email	email	NOUN
ejpam-4849	19	5	addresses	address	NOUN
ejpam-4849	19	6	:	:	PUNCT
ejpam-4849	19	7	hawrazmath@uokirkuk.edu.iq	hawrazmath@uokirkuk.edu.iq	NOUN
ejpam-4849	19	8	(	(	PUNCT
ejpam-4849	19	9	h.	h.	PROPN
ejpam-4849	19	10	n.	n.	PROPN
ejpam-4849	19	11	jabbar	jabbar	PROPN
ejpam-4849	19	12	)	)	PUNCT
ejpam-4849	19	13	,	,	PUNCT
ejpam-4849	19	14	mailto.yeldez.subhi@uoalkitab.edu.iq	mailto.yeldez.subhi@uoalkitab.edu.iq	PROPN
ejpam-4849	19	15	(	(	PUNCT
ejpam-4849	19	16	y.	y.	PROPN
ejpam-4849	19	17	j.	j.	PROPN
ejpam-4849	19	18	subhi	subhi	PROPN
ejpam-4849	19	19	)	)	PUNCT
ejpam-4849	19	20	,	,	PUNCT
ejpam-4849	19	21	basimah@uomosul.edu.iq	basimah@uomosul.edu.iq	PROPN
ejpam-4849	19	22	(	(	PUNCT
ejpam-4849	19	23	b.	b.	PROPN
ejpam-4849	19	24	a.	a.	PROPN
ejpam-4849	19	25	hassan	hassan	PROPN
ejpam-4849	19	26	)	)	PUNCT
ejpam-4849	19	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4849	19	28	1624	1624	NUM
ejpam-4849	19	29	©	©	PROPN
ejpam-4849	19	30	2023	2023	NUM
ejpam-4849	19	31	ejpam	ejpam	NOUN
ejpam-4849	19	32	all	all	DET
ejpam-4849	19	33	rights	right	NOUN
ejpam-4849	19	34	reserved	reserve	VERB
ejpam-4849	19	35	.	.	PUNCT
ejpam-4849	20	1	1625	1625	NUM
ejpam-4849	20	2	a	a	DET
ejpam-4849	20	3	regularization	regularization	NOUN
ejpam-4849	20	4	parameter	parameter	NOUN
ejpam-4849	20	5	β	β	NOUN
ejpam-4849	20	6	,	,	PUNCT
ejpam-4849	20	7	s1	s1	PROPN
ejpam-4849	20	8	i	i	PROPN
ejpam-4849	20	9	,	,	PUNCT
ejpam-4849	20	10	j	j	PROPN
ejpam-4849	20	11	=	=	SYM
ejpam-4849	20	12	2	2	NUM
ejpam-4849	20	13	∑	∑	PUNCT
ejpam-4849	20	14	(	(	PUNCT
ejpam-4849	20	15	m	m	PROPN
ejpam-4849	20	16	,	,	PUNCT
ejpam-4849	20	17	n)∈pi	n)∈pi	PROPN
ejpam-4849	20	18	,	,	PUNCT
ejpam-4849	20	19	j∩ncφα(ui	j∩ncφα(ui	NOUN
ejpam-4849	20	20	,	,	PUNCT
ejpam-4849	20	21	j−ym	j−ym	NOUN
ejpam-4849	20	22	,	,	PUNCT
ejpam-4849	20	23	n	n	PRON
ejpam-4849	20	24	,	,	PUNCT
ejpam-4849	20	25	s2	s2	VERB
ejpam-4849	20	26	i	i	PRON
ejpam-4849	20	27	,	,	PUNCT
ejpam-4849	20	28	j	j	PROPN
ejpam-4849	20	29	=	=	SYM
ejpam-4849	20	30	∑	∑	PUNCT
ejpam-4849	20	31	(	(	PUNCT
ejpam-4849	20	32	m	m	PROPN
ejpam-4849	20	33	,	,	PUNCT
ejpam-4849	20	34	n)∈pi	n)∈pi	PROPN
ejpam-4849	20	35	,	,	PUNCT
ejpam-4849	20	36	j∩n	j∩n	PROPN
ejpam-4849	20	37	ϕα(ui	ϕα(ui	PROPN
ejpam-4849	20	38	,	,	PUNCT
ejpam-4849	20	39	j	j	PROPN
ejpam-4849	20	40	−	−	PROPN
ejpam-4849	20	41	ym	ym	PROPN
ejpam-4849	20	42	,	,	PUNCT
ejpam-4849	20	43	n	n	CCONJ
ejpam-4849	20	44	)	)	PUNCT
ejpam-4849	20	45	and	and	CCONJ
ejpam-4849	20	46	an	an	DET
ejpam-4849	20	47	edge	edge	NOUN
ejpam-4849	20	48	-	-	PUNCT
ejpam-4849	20	49	preserving	preserve	VERB
ejpam-4849	20	50	potential	potential	ADJ
ejpam-4849	20	51	function	function	NOUN
ejpam-4849	20	52	φα	φα	PROPN
ejpam-4849	20	53	=	=	PUNCT
ejpam-4849	20	54	√	√	PROPN
ejpam-4849	20	55	α+	α+	X
ejpam-4849	20	56	x2	x2	PROPN
ejpam-4849	20	57	,	,	PUNCT
ejpam-4849	20	58	α	α	PROPN
ejpam-4849	20	59	>	>	X
ejpam-4849	20	60	0	0	PUNCT
ejpam-4849	20	61	to	to	PART
ejpam-4849	20	62	improve	improve	VERB
ejpam-4849	20	63	the	the	DET
ejpam-4849	20	64	accuracy	accuracy	NOUN
ejpam-4849	20	65	of	of	ADP
ejpam-4849	20	66	a	a	DET
ejpam-4849	20	67	system	system	NOUN
ejpam-4849	20	68	.	.	PUNCT
ejpam-4849	21	1	let	let	VERB
ejpam-4849	21	2	yi	yi	PROPN
ejpam-4849	21	3	,	,	PUNCT
ejpam-4849	21	4	j	j	PROPN
ejpam-4849	21	5	represent	represent	VERB
ejpam-4849	21	6	the	the	DET
ejpam-4849	21	7	observed	observed	ADJ
ejpam-4849	21	8	pixel	pixel	NOUN
ejpam-4849	21	9	value	value	NOUN
ejpam-4849	21	10	of	of	ADP
ejpam-4849	21	11	the	the	DET
ejpam-4849	21	12	image	image	NOUN
ejpam-4849	21	13	at	at	ADP
ejpam-4849	21	14	position	position	NOUN
ejpam-4849	21	15	(	(	PUNCT
ejpam-4849	21	16	i	i	PROPN
ejpam-4849	21	17	,	,	PUNCT
ejpam-4849	21	18	j	j	PROPN
ejpam-4849	21	19	)	)	PUNCT
ejpam-4849	21	20	,	,	PUNCT
ejpam-4849	21	21	and	and	CCONJ
ejpam-4849	21	22	let	let	VERB
ejpam-4849	21	23	pi	pi	NOUN
ejpam-4849	21	24	,	,	PUNCT
ejpam-4849	21	25	j	j	PROPN
ejpam-4849	21	26	represent	represent	VERB
ejpam-4849	21	27	the	the	DET
ejpam-4849	21	28	set	set	NOUN
ejpam-4849	21	29	of	of	ADP
ejpam-4849	21	30	the	the	DET
ejpam-4849	21	31	pixel	pixel	PROPN
ejpam-4849	21	32	’s	’s	PART
ejpam-4849	21	33	four	four	NUM
ejpam-4849	21	34	closest	close	ADJ
ejpam-4849	21	35	neighbours	neighbour	NOUN
ejpam-4849	21	36	at	at	ADP
ejpam-4849	21	37	location	location	NOUN
ejpam-4849	21	38	(	(	PUNCT
ejpam-4849	21	39	i	i	PROPN
ejpam-4849	21	40	,	,	PUNCT
ejpam-4849	21	41	j	j	PROPN
ejpam-4849	21	42	)	)	PUNCT
ejpam-4849	21	43	∈	∈	PROPN
ejpam-4849	21	44	a	a	PRON
ejpam-4849	21	45	and	and	CCONJ
ejpam-4849	21	46	ui	ui	PROPN
ejpam-4849	21	47	,	,	PUNCT
ejpam-4849	21	48	j	j	PROPN
ejpam-4849	21	49	=	=	SYM
ejpam-4849	21	50	⌊ui	⌊ui	PROPN
ejpam-4849	21	51	,	,	PUNCT
ejpam-4849	21	52	j⌋(i	j⌋(i	PROPN
ejpam-4849	21	53	,	,	PUNCT
ejpam-4849	21	54	j)∈n	j)∈n	PROPN
ejpam-4849	21	55	represent	represent	VERB
ejpam-4849	21	56	a	a	DET
ejpam-4849	21	57	lexicographically	lexicographically	ADV
ejpam-4849	21	58	arranged	arrange	VERB
ejpam-4849	21	59	column	column	NOUN
ejpam-4849	21	60	vector	vector	NOUN
ejpam-4849	21	61	of	of	ADP
ejpam-4849	21	62	length	length	NOUN
ejpam-4849	21	63	c.	c.	PROPN
ejpam-4849	21	64	the	the	DET
ejpam-4849	21	65	number	number	NOUN
ejpam-4849	21	66	of	of	ADP
ejpam-4849	21	67	items	item	NOUN
ejpam-4849	21	68	in	in	ADP
ejpam-4849	21	69	n	n	PROPN
ejpam-4849	21	70	is	be	AUX
ejpam-4849	21	71	given	give	VERB
ejpam-4849	21	72	by	by	ADP
ejpam-4849	21	73	c.	c.	PROPN
ejpam-4849	21	74	the	the	DET
ejpam-4849	21	75	term	term	NOUN
ejpam-4849	21	76	|ui	|ui	NUM
ejpam-4849	21	77	,	,	PUNCT
ejpam-4849	21	78	j	j	PROPN
ejpam-4849	21	79	−	−	PROPN
ejpam-4849	21	80	yi	yi	PROPN
ejpam-4849	21	81	,	,	PUNCT
ejpam-4849	21	82	j	j	PROPN
ejpam-4849	22	1	|	|	ADV
ejpam-4849	22	2	in	in	ADP
ejpam-4849	22	3	equation	equation	NOUN
ejpam-4849	22	4	(	(	PUNCT
ejpam-4849	22	5	1	1	X
ejpam-4849	22	6	)	)	PUNCT
ejpam-4849	22	7	enables	enable	VERB
ejpam-4849	22	8	noisy	noisy	ADJ
ejpam-4849	22	9	pixels	pixel	NOUN
ejpam-4849	22	10	to	to	PART
ejpam-4849	22	11	be	be	AUX
ejpam-4849	22	12	recognised	recognise	VERB
ejpam-4849	22	13	but	but	CCONJ
ejpam-4849	22	14	provides	provide	VERB
ejpam-4849	22	15	a	a	DET
ejpam-4849	22	16	modest	modest	ADJ
ejpam-4849	22	17	bias	bias	NOUN
ejpam-4849	22	18	on	on	ADP
ejpam-4849	22	19	damaged	damage	VERB
ejpam-4849	22	20	pixel	pixel	NOUN
ejpam-4849	22	21	restoration	restoration	NOUN
ejpam-4849	22	22	[	[	X
ejpam-4849	22	23	1],[15	1],[15	X
ejpam-4849	22	24	]	]	PUNCT
ejpam-4849	22	25	.	.	PUNCT
ejpam-4849	23	1	it	it	PRON
ejpam-4849	23	2	advises	advise	VERB
ejpam-4849	23	3	removing	remove	VERB
ejpam-4849	23	4	the	the	DET
ejpam-4849	23	5	term	term	NOUN
ejpam-4849	23	6	from	from	ADP
ejpam-4849	23	7	the	the	DET
ejpam-4849	23	8	equation	equation	NOUN
ejpam-4849	23	9	and	and	CCONJ
ejpam-4849	23	10	considering	consider	VERB
ejpam-4849	23	11	the	the	DET
ejpam-4849	23	12	functional	functional	NOUN
ejpam-4849	23	13	of	of	ADP
ejpam-4849	23	14	the	the	DET
ejpam-4849	23	15	following	follow	VERB
ejpam-4849	23	16	form	form	NOUN
ejpam-4849	23	17	:	:	PUNCT
ejpam-4849	23	18	fα(u	fα(u	X
ejpam-4849	23	19	)	)	PUNCT
ejpam-4849	23	20	=	=	PUNCT
ejpam-4849	24	1	∑	∑	PUNCT
ejpam-4849	24	2	(	(	PUNCT
ejpam-4849	24	3	i	i	PROPN
ejpam-4849	24	4	,	,	PUNCT
ejpam-4849	24	5	j)∈n	j)∈n	PROPN
ejpam-4849	24	6	⌊(2×	⌊(2×	NUM
ejpam-4849	24	7	s1	s1	PROPN
ejpam-4849	25	1	i	i	PROPN
ejpam-4849	25	2	,	,	PUNCT
ejpam-4849	25	3	j	j	PROPN
ejpam-4849	25	4	+	+	CCONJ
ejpam-4849	25	5	s2	s2	PROPN
ejpam-4849	25	6	i	i	PRON
ejpam-4849	25	7	,	,	PUNCT
ejpam-4849	25	8	j)⌋	j)⌋	X
ejpam-4849	25	9	(	(	PUNCT
ejpam-4849	25	10	2	2	NUM
ejpam-4849	25	11	)	)	PUNCT
ejpam-4849	25	12	one	one	NUM
ejpam-4849	25	13	of	of	ADP
ejpam-4849	25	14	the	the	DET
ejpam-4849	25	15	important	important	ADJ
ejpam-4849	25	16	iterative	iterative	NOUN
ejpam-4849	25	17	approaches	approach	NOUN
ejpam-4849	25	18	for	for	ADP
ejpam-4849	25	19	conjugate	conjugate	ADJ
ejpam-4849	25	20	gradient	gradient	NOUN
ejpam-4849	25	21	(	(	PUNCT
ejpam-4849	25	22	cg	cg	NOUN
ejpam-4849	25	23	)	)	PUNCT
ejpam-4849	25	24	removes	remove	VERB
ejpam-4849	25	25	impulsive	impulsive	ADJ
ejpam-4849	25	26	noise	noise	NOUN
ejpam-4849	25	27	:	:	PUNCT
ejpam-4849	25	28	f(u∗	f(u∗	X
ejpam-4849	25	29	)	)	PUNCT
ejpam-4849	25	30	=	=	SYM
ejpam-4849	25	31	min	min	PROPN
ejpam-4849	25	32	x∈rn	x∈rn	PROPN
ejpam-4849	25	33	f(u	f(u	PROPN
ejpam-4849	25	34	)	)	PUNCT
ejpam-4849	25	35	(	(	PUNCT
ejpam-4849	25	36	3	3	X
ejpam-4849	25	37	)	)	PUNCT
ejpam-4849	25	38	the	the	DET
ejpam-4849	25	39	conjugate	conjugate	ADJ
ejpam-4849	25	40	gradient	gradient	NOUN
ejpam-4849	25	41	approach	approach	NOUN
ejpam-4849	25	42	is	be	AUX
ejpam-4849	25	43	a	a	DET
ejpam-4849	25	44	kind	kind	NOUN
ejpam-4849	25	45	of	of	ADP
ejpam-4849	25	46	iterative	iterative	ADJ
ejpam-4849	25	47	algorithm	algorithm	NOUN
ejpam-4849	25	48	that	that	PRON
ejpam-4849	25	49	generates	generate	VERB
ejpam-4849	25	50	a	a	DET
ejpam-4849	25	51	sequence	sequence	NOUN
ejpam-4849	25	52	using	use	VERB
ejpam-4849	25	53	the	the	DET
ejpam-4849	25	54	following	follow	VERB
ejpam-4849	25	55	format	format	NOUN
ejpam-4849	25	56	:	:	PUNCT
ejpam-4849	25	57	uk+1	uk+1	ADP
ejpam-4849	25	58	=	=	PUNCT
ejpam-4849	25	59	uk	uk	PROPN
ejpam-4849	25	60	+	+	CCONJ
ejpam-4849	25	61	αkdk	αkdk	NOUN
ejpam-4849	25	62	(	(	PUNCT
ejpam-4849	25	63	4	4	NUM
ejpam-4849	25	64	)	)	PUNCT
ejpam-4849	25	65	where	where	SCONJ
ejpam-4849	25	66	dk	dk	PROPN
ejpam-4849	25	67	denotes	denote	VERB
ejpam-4849	25	68	the	the	DET
ejpam-4849	25	69	direction	direction	NOUN
ejpam-4849	25	70	of	of	ADP
ejpam-4849	25	71	the	the	DET
ejpam-4849	25	72	search	search	NOUN
ejpam-4849	25	73	and	and	CCONJ
ejpam-4849	25	74	αk	αk	ADP
ejpam-4849	25	75	denotes	denote	VERB
ejpam-4849	25	76	the	the	DET
ejpam-4849	25	77	average	average	ADJ
ejpam-4849	25	78	step	step	NOUN
ejpam-4849	25	79	size	size	NOUN
ejpam-4849	25	80	uncovered	uncover	VERB
ejpam-4849	25	81	by	by	ADP
ejpam-4849	25	82	a	a	DET
ejpam-4849	25	83	reliable	reliable	ADJ
ejpam-4849	25	84	exact	exact	ADJ
ejpam-4849	25	85	line	line	NOUN
ejpam-4849	25	86	search	search	NOUN
ejpam-4849	25	87	,	,	PUNCT
ejpam-4849	25	88	as	as	ADP
ejpam-4849	25	89	in	in	ADP
ejpam-4849	25	90	:	:	PUNCT
ejpam-4849	25	91	αk	αk	NOUN
ejpam-4849	25	92	=	=	PUNCT
ejpam-4849	25	93	−	−	PROPN
ejpam-4849	25	94	gtk	gtk	NOUN
ejpam-4849	25	95	dk	dk	PROPN
ejpam-4849	25	96	dtkqdk	dtkqdk	NOUN
ejpam-4849	25	97	(	(	PUNCT
ejpam-4849	25	98	5	5	NUM
ejpam-4849	25	99	)	)	PUNCT
ejpam-4849	25	100	formula	formula	NOUN
ejpam-4849	25	101	[	[	X
ejpam-4849	25	102	13	13	NUM
ejpam-4849	25	103	]	]	PUNCT
ejpam-4849	25	104	adds	add	VERB
ejpam-4849	25	105	details	detail	NOUN
ejpam-4849	25	106	.	.	PUNCT
ejpam-4849	26	1	under	under	ADP
ejpam-4849	26	2	the	the	DET
ejpam-4849	26	3	wolfe	wolfe	PROPN
ejpam-4849	26	4	scenario	scenario	PROPN
ejpam-4849	26	5	,	,	PUNCT
ejpam-4849	26	6	step	step	NOUN
ejpam-4849	26	7	length	length	NOUN
ejpam-4849	26	8	is	be	AUX
ejpam-4849	26	9	defined	define	VERB
ejpam-4849	26	10	as	as	ADP
ejpam-4849	26	11	αk	αk	NOUN
ejpam-4849	26	12	:	:	PUNCT
ejpam-4849	26	13	f(uk	f(uk	PROPN
ejpam-4849	26	14	+	+	NUM
ejpam-4849	26	15	αkdk	αkdk	NOUN
ejpam-4849	26	16	)	)	PUNCT
ejpam-4849	26	17	≤	≤	PROPN
ejpam-4849	26	18	f(uk	f(uk	PROPN
ejpam-4849	26	19	)	)	PUNCT
ejpam-4849	27	1	+	+	CCONJ
ejpam-4849	27	2	δαkg	δαkg	NOUN
ejpam-4849	27	3	t	t	PROPN
ejpam-4849	27	4	k	k	PROPN
ejpam-4849	27	5	dk	dk	PROPN
ejpam-4849	27	6	dtk	dtk	PROPN
ejpam-4849	27	7	g(uk	g(uk	PROPN
ejpam-4849	27	8	+	+	CCONJ
ejpam-4849	27	9	αkdk	αkdk	NOUN
ejpam-4849	27	10	)	)	PUNCT
ejpam-4849	27	11	≥	≥	PROPN
ejpam-4849	27	12	σ	σ	PROPN
ejpam-4849	27	13	dtk	dtk	PROPN
ejpam-4849	27	14	gk	gk	PROPN
ejpam-4849	27	15	(	(	PUNCT
ejpam-4849	27	16	6	6	NUM
ejpam-4849	27	17	)	)	PUNCT
ejpam-4849	27	18	where	where	SCONJ
ejpam-4849	27	19	0	0	NUM
ejpam-4849	27	20	<	<	X
ejpam-4849	27	21	δ	δ	X
ejpam-4849	27	22	<	<	X
ejpam-4849	27	23	σ	σ	X
ejpam-4849	27	24	<	<	X
ejpam-4849	27	25	1	1	NUM
ejpam-4849	27	26	.	.	PUNCT
ejpam-4849	28	1	you	you	PRON
ejpam-4849	28	2	may	may	AUX
ejpam-4849	28	3	find	find	VERB
ejpam-4849	28	4	further	further	ADJ
ejpam-4849	28	5	information	information	NOUN
ejpam-4849	28	6	in	in	ADP
ejpam-4849	28	7	[	[	X
ejpam-4849	28	8	11	11	NUM
ejpam-4849	28	9	]	]	PUNCT
ejpam-4849	28	10	.	.	PUNCT
ejpam-4849	29	1	the	the	DET
ejpam-4849	29	2	conjugate	conjugate	ADJ
ejpam-4849	29	3	gradient	gradient	NOUN
ejpam-4849	29	4	method	method	NOUN
ejpam-4849	29	5	’s	’s	PART
ejpam-4849	29	6	formula	formula	NOUN
ejpam-4849	29	7	for	for	ADP
ejpam-4849	29	8	choosing	choose	VERB
ejpam-4849	29	9	the	the	DET
ejpam-4849	29	10	search	search	NOUN
ejpam-4849	29	11	direction	direction	NOUN
ejpam-4849	29	12	is	be	AUX
ejpam-4849	29	13	as	as	SCONJ
ejpam-4849	29	14	follows	follow	VERB
ejpam-4849	29	15	:	:	PUNCT
ejpam-4849	29	16	dk+1	dk+1	NOUN
ejpam-4849	29	17	=	=	SYM
ejpam-4849	29	18	−gk+1	−gk+1	PROPN
ejpam-4849	29	19	+	+	CCONJ
ejpam-4849	29	20	βkdk	βkdk	NOUN
ejpam-4849	29	21	(	(	PUNCT
ejpam-4849	29	22	7	7	NUM
ejpam-4849	29	23	)	)	PUNCT
ejpam-4849	29	24	where	where	SCONJ
ejpam-4849	29	25	βk	βk	NOUN
ejpam-4849	29	26	is	be	AUX
ejpam-4849	29	27	a	a	DET
ejpam-4849	29	28	scalar	scalar	NOUN
ejpam-4849	29	29	.	.	PUNCT
ejpam-4849	30	1	two	two	NUM
ejpam-4849	30	2	examples	example	NOUN
ejpam-4849	30	3	of	of	ADP
ejpam-4849	30	4	formulas	formula	NOUN
ejpam-4849	30	5	for	for	ADP
ejpam-4849	30	6	are	be	AUX
ejpam-4849	30	7	the	the	DET
ejpam-4849	30	8	dai	dai	PROPN
ejpam-4849	30	9	-	-	PUNCT
ejpam-4849	30	10	yuan	yuan	PROPN
ejpam-4849	30	11	(	(	PUNCT
ejpam-4849	30	12	dy	dy	NOUN
ejpam-4849	30	13	)	)	PUNCT
ejpam-4849	30	14	technique	technique	NOUN
ejpam-4849	30	15	[	[	X
ejpam-4849	30	16	2	2	NUM
ejpam-4849	30	17	]	]	PUNCT
ejpam-4849	30	18	and	and	CCONJ
ejpam-4849	30	19	the	the	DET
ejpam-4849	30	20	fletcherreeves	fletcherreeve	NOUN
ejpam-4849	30	21	(	(	PUNCT
ejpam-4849	30	22	fr	fr	NOUN
ejpam-4849	30	23	)	)	PUNCT
ejpam-4849	30	24	method	method	NOUN
ejpam-4849	30	25	[	[	X
ejpam-4849	30	26	4	4	NUM
ejpam-4849	30	27	]	]	PUNCT
ejpam-4849	30	28	.	.	PUNCT
ejpam-4849	31	1	they	they	PRON
ejpam-4849	31	2	take	take	VERB
ejpam-4849	31	3	the	the	DET
ejpam-4849	31	4	shape	shape	NOUN
ejpam-4849	31	5	of	of	ADP
ejpam-4849	31	6	the	the	DET
ejpam-4849	31	7	following	following	NOUN
ejpam-4849	31	8	:	:	PUNCT
ejpam-4849	31	9	βfr	βfr	PROPN
ejpam-4849	31	10	k	k	X
ejpam-4849	31	11	=	=	PUNCT
ejpam-4849	31	12	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-4849	31	13	∥gk∥2	∥gk∥2	PROPN
ejpam-4849	31	14	,	,	PUNCT
ejpam-4849	31	15	βdy	βdy	VERB
ejpam-4849	31	16	k+1	k+1	X
ejpam-4849	31	17	=	=	PUNCT
ejpam-4849	31	18	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-4849	31	19	dtk	dtk	PROPN
ejpam-4849	31	20	yk	yk	PROPN
ejpam-4849	31	21	(	(	PUNCT
ejpam-4849	31	22	8)	8)	NUM
ejpam-4849	31	23	many	many	ADJ
ejpam-4849	31	24	studies	study	NOUN
ejpam-4849	31	25	have	have	AUX
ejpam-4849	31	26	been	be	AUX
ejpam-4849	31	27	done	do	VERB
ejpam-4849	31	28	on	on	ADP
ejpam-4849	31	29	the	the	DET
ejpam-4849	31	30	characteristics	characteristic	NOUN
ejpam-4849	31	31	of	of	ADP
ejpam-4849	31	32	convergence	convergence	NOUN
ejpam-4849	31	33	shown	show	VERB
ejpam-4849	31	34	by	by	ADP
ejpam-4849	31	35	conjugate	conjugate	ADJ
ejpam-4849	31	36	gradient	gradient	ADJ
ejpam-4849	31	37	methods	method	NOUN
ejpam-4849	31	38	.	.	PUNCT
ejpam-4849	32	1	these	these	DET
ejpam-4849	32	2	investigations	investigation	NOUN
ejpam-4849	32	3	got	get	VERB
ejpam-4849	32	4	underway	underway	ADJ
ejpam-4849	32	5	with	with	ADP
ejpam-4849	32	6	zoutendijk	zoutendijk	X
ejpam-4849	32	7	[	[	X
ejpam-4849	32	8	16	16	NUM
ejpam-4849	32	9	]	]	X
ejpam-4849	32	10	,	,	PUNCT
ejpam-4849	32	11	who	who	PRON
ejpam-4849	32	12	showed	show	VERB
ejpam-4849	32	13	1626	1626	NUM
ejpam-4849	32	14	how	how	SCONJ
ejpam-4849	32	15	the	the	DET
ejpam-4849	32	16	fr	fr	PROPN
ejpam-4849	32	17	approach	approach	NOUN
ejpam-4849	32	18	converges	converge	VERB
ejpam-4849	32	19	globally	globally	ADV
ejpam-4849	32	20	when	when	SCONJ
ejpam-4849	32	21	precise	precise	ADJ
ejpam-4849	32	22	line	line	NOUN
ejpam-4849	32	23	searching	searching	NOUN
ejpam-4849	32	24	is	be	AUX
ejpam-4849	32	25	carried	carry	VERB
ejpam-4849	32	26	out	out	ADP
ejpam-4849	32	27	.	.	PUNCT
ejpam-4849	33	1	up	up	ADP
ejpam-4849	33	2	to	to	ADP
ejpam-4849	33	3	now	now	ADV
ejpam-4849	33	4	,	,	PUNCT
ejpam-4849	33	5	a	a	DET
ejpam-4849	33	6	number	number	NOUN
ejpam-4849	33	7	of	of	ADP
ejpam-4849	33	8	researchers	researcher	NOUN
ejpam-4849	33	9	have	have	AUX
ejpam-4849	33	10	created	create	VERB
ejpam-4849	33	11	brand	brand	NOUN
ejpam-4849	33	12	-	-	PUNCT
ejpam-4849	33	13	new	new	ADJ
ejpam-4849	33	14	conjugate	conjugate	ADJ
ejpam-4849	33	15	gradient	gradient	NOUN
ejpam-4849	33	16	coefficient	coefficient	NOUN
ejpam-4849	33	17	equations	equation	NOUN
ejpam-4849	33	18	that	that	PRON
ejpam-4849	33	19	perform	perform	VERB
ejpam-4849	33	20	superbly	superbly	ADV
ejpam-4849	33	21	numerically	numerically	ADV
ejpam-4849	33	22	and	and	CCONJ
ejpam-4849	33	23	lead	lead	VERB
ejpam-4849	33	24	to	to	ADP
ejpam-4849	33	25	the	the	DET
ejpam-4849	33	26	global	global	ADJ
ejpam-4849	33	27	solution	solution	NOUN
ejpam-4849	33	28	.	.	PUNCT
ejpam-4849	34	1	while	while	SCONJ
ejpam-4849	34	2	this	this	PRON
ejpam-4849	34	3	is	be	AUX
ejpam-4849	34	4	only	only	ADV
ejpam-4849	34	5	a	a	DET
ejpam-4849	34	6	prototype	prototype	NOUN
ejpam-4849	34	7	,	,	PUNCT
ejpam-4849	34	8	the	the	DET
ejpam-4849	34	9	conjugate	conjugate	ADJ
ejpam-4849	34	10	gradient	gradient	NOUN
ejpam-4849	34	11	technique	technique	NOUN
ejpam-4849	34	12	has	have	AUX
ejpam-4849	34	13	known	know	VERB
ejpam-4849	34	14	more	more	ADV
ejpam-4849	34	15	advanced	advanced	ADJ
ejpam-4849	34	16	adaptations	adaptation	NOUN
ejpam-4849	34	17	[	[	X
ejpam-4849	34	18	3	3	NUM
ejpam-4849	34	19	]	]	PUNCT
ejpam-4849	34	20	,	,	PUNCT
ejpam-4849	34	21	[	[	X
ejpam-4849	34	22	5	5	NUM
ejpam-4849	34	23	]	]	PUNCT
ejpam-4849	34	24	and	and	CCONJ
ejpam-4849	34	25	[	[	X
ejpam-4849	34	26	12	12	NUM
ejpam-4849	34	27	]	]	PUNCT
ejpam-4849	34	28	.	.	PUNCT
ejpam-4849	35	1	accurate	accurate	ADJ
ejpam-4849	35	2	descent	descent	NOUN
ejpam-4849	35	3	conjugate	conjugate	ADJ
ejpam-4849	35	4	gradient	gradient	ADJ
ejpam-4849	35	5	methods	method	NOUN
ejpam-4849	35	6	have	have	AUX
ejpam-4849	35	7	been	be	AUX
ejpam-4849	35	8	developed	develop	VERB
ejpam-4849	35	9	developed	develop	VERB
ejpam-4849	35	10	in	in	ADP
ejpam-4849	35	11	a	a	DET
ejpam-4849	35	12	number	number	NOUN
ejpam-4849	35	13	of	of	ADP
ejpam-4849	35	14	different	different	ADJ
ejpam-4849	35	15	ways	way	NOUN
ejpam-4849	35	16	.	.	PUNCT
ejpam-4849	36	1	examples	example	NOUN
ejpam-4849	36	2	of	of	ADP
ejpam-4849	36	3	cg	cg	NOUN
ejpam-4849	36	4	approaches	approach	NOUN
ejpam-4849	36	5	given	give	VERB
ejpam-4849	36	6	by	by	ADP
ejpam-4849	36	7	wu	wu	PROPN
ejpam-4849	36	8	and	and	CCONJ
ejpam-4849	36	9	chen	chen	PROPN
ejpam-4849	37	1	[	[	X
ejpam-4849	37	2	14	14	NUM
ejpam-4849	37	3	]	]	PUNCT
ejpam-4849	37	4	include	include	VERB
ejpam-4849	37	5	the	the	DET
ejpam-4849	37	6	following	following	NOUN
ejpam-4849	37	7	:	:	PUNCT
ejpam-4849	37	8	βwc	βwc	PROPN
ejpam-4849	37	9	k	k	NOUN
ejpam-4849	37	10	=	=	PUNCT
ejpam-4849	37	11	ytk+1gk+1	ytk+1gk+1	PROPN
ejpam-4849	37	12	dtk	dtk	PROPN
ejpam-4849	37	13	yk	yk	PROPN
ejpam-4849	37	14	+	+	CCONJ
ejpam-4849	37	15	2(fk	2(fk	NOUN
ejpam-4849	37	16	−	−	NOUN
ejpam-4849	37	17	fk+1	fk+1	NOUN
ejpam-4849	37	18	)	)	PUNCT
ejpam-4849	37	19	+	+	NOUN
ejpam-4849	37	20	gtk	gtk	NOUN
ejpam-4849	37	21	sk	sk	PROPN
ejpam-4849	37	22	dtk	dtk	PROPN
ejpam-4849	37	23	yk	yk	PROPN
ejpam-4849	37	24	(	(	PUNCT
ejpam-4849	37	25	9	9	NUM
ejpam-4849	37	26	)	)	PUNCT
ejpam-4849	37	27	both	both	PRON
ejpam-4849	37	28	in	in	ADP
ejpam-4849	37	29	terms	term	NOUN
ejpam-4849	37	30	of	of	ADP
ejpam-4849	37	31	their	their	PRON
ejpam-4849	37	32	theoretical	theoretical	ADJ
ejpam-4849	37	33	use	use	NOUN
ejpam-4849	37	34	and	and	CCONJ
ejpam-4849	37	35	their	their	PRON
ejpam-4849	37	36	practical	practical	ADJ
ejpam-4849	37	37	usefulness	usefulness	NOUN
ejpam-4849	37	38	,	,	PUNCT
ejpam-4849	37	39	these	these	DET
ejpam-4849	37	40	strategies	strategy	NOUN
ejpam-4849	37	41	excel	excel	VERB
ejpam-4849	37	42	.	.	PUNCT
ejpam-4849	38	1	the	the	DET
ejpam-4849	38	2	calculation	calculation	NOUN
ejpam-4849	38	3	of	of	ADP
ejpam-4849	38	4	the	the	DET
ejpam-4849	38	5	search	search	NOUN
ejpam-4849	38	6	direction	direction	NOUN
ejpam-4849	38	7	is	be	AUX
ejpam-4849	38	8	the	the	DET
ejpam-4849	38	9	primary	primary	ADJ
ejpam-4849	38	10	point	point	NOUN
ejpam-4849	38	11	of	of	ADP
ejpam-4849	38	12	differentiation	differentiation	NOUN
ejpam-4849	38	13	between	between	ADP
ejpam-4849	38	14	the	the	DET
ejpam-4849	38	15	conjugate	conjugate	ADJ
ejpam-4849	38	16	gradient	gradient	NOUN
ejpam-4849	38	17	technique	technique	NOUN
ejpam-4849	38	18	and	and	CCONJ
ejpam-4849	38	19	the	the	DET
ejpam-4849	38	20	wu	wu	PROPN
ejpam-4849	38	21	and	and	CCONJ
ejpam-4849	38	22	chen	chen	PROPN
ejpam-4849	38	23	algorithm	algorithm	PROPN
ejpam-4849	38	24	.	.	PUNCT
ejpam-4849	39	1	please	please	INTJ
ejpam-4849	39	2	see	see	VERB
ejpam-4849	39	3	[	[	X
ejpam-4849	39	4	6	6	NUM
ejpam-4849	39	5	]	]	PUNCT
ejpam-4849	39	6	,	,	PUNCT
ejpam-4849	39	7	[	[	X
ejpam-4849	39	8	9	9	NUM
ejpam-4849	39	9	]	]	PUNCT
ejpam-4849	39	10	and	and	CCONJ
ejpam-4849	39	11	[	[	X
ejpam-4849	39	12	7	7	X
ejpam-4849	39	13	]	]	PUNCT
ejpam-4849	39	14	for	for	ADP
ejpam-4849	39	15	further	further	ADJ
ejpam-4849	39	16	information	information	NOUN
ejpam-4849	39	17	on	on	ADP
ejpam-4849	39	18	the	the	DET
ejpam-4849	39	19	optimization	optimization	NOUN
ejpam-4849	39	20	techniques	technique	NOUN
ejpam-4849	39	21	and	and	CCONJ
ejpam-4849	39	22	references	reference	NOUN
ejpam-4849	39	23	.	.	PUNCT
ejpam-4849	40	1	we	we	PRON
ejpam-4849	40	2	create	create	VERB
ejpam-4849	40	3	a	a	DET
ejpam-4849	40	4	new	new	ADJ
ejpam-4849	40	5	class	class	NOUN
ejpam-4849	40	6	of	of	ADP
ejpam-4849	40	7	formulas	formula	NOUN
ejpam-4849	40	8	by	by	ADP
ejpam-4849	40	9	basing	base	VERB
ejpam-4849	40	10	them	they	PRON
ejpam-4849	40	11	on	on	ADP
ejpam-4849	40	12	the	the	DET
ejpam-4849	40	13	quadratic	quadratic	ADJ
ejpam-4849	40	14	model	model	NOUN
ejpam-4849	40	15	,	,	PUNCT
ejpam-4849	40	16	and	and	CCONJ
ejpam-4849	40	17	then	then	ADV
ejpam-4849	40	18	we	we	PRON
ejpam-4849	40	19	examine	examine	VERB
ejpam-4849	40	20	and	and	CCONJ
ejpam-4849	40	21	report	report	VERB
ejpam-4849	40	22	on	on	ADP
ejpam-4849	40	23	the	the	DET
ejpam-4849	40	24	theoretical	theoretical	ADJ
ejpam-4849	40	25	properties	property	NOUN
ejpam-4849	40	26	as	as	ADV
ejpam-4849	40	27	well	well	ADV
ejpam-4849	40	28	as	as	ADP
ejpam-4849	40	29	the	the	DET
ejpam-4849	40	30	numerical	numerical	ADJ
ejpam-4849	40	31	performance	performance	NOUN
ejpam-4849	40	32	of	of	ADP
ejpam-4849	40	33	these	these	DET
ejpam-4849	40	34	formulas	formula	NOUN
ejpam-4849	40	35	.	.	PUNCT
ejpam-4849	41	1	2	2	X
ejpam-4849	41	2	.	.	X
ejpam-4849	41	3	a	a	DET
ejpam-4849	41	4	new	new	ADJ
ejpam-4849	41	5	parameter	parameter	NOUN
ejpam-4849	41	6	for	for	ADP
ejpam-4849	41	7	βk	βk	ADP
ejpam-4849	41	8	the	the	DET
ejpam-4849	41	9	new	new	ADJ
ejpam-4849	41	10	parameter	parameter	NOUN
ejpam-4849	41	11	will	will	AUX
ejpam-4849	41	12	be	be	AUX
ejpam-4849	41	13	derived	derive	VERB
ejpam-4849	41	14	by	by	ADP
ejpam-4849	41	15	using	use	VERB
ejpam-4849	41	16	taylor	taylor	PROPN
ejpam-4849	41	17	series	series	PROPN
ejpam-4849	41	18	as	as	SCONJ
ejpam-4849	41	19	defined	define	VERB
ejpam-4849	41	20	by	by	ADP
ejpam-4849	41	21	:	:	PUNCT
ejpam-4849	41	22	f(u	f(u	PROPN
ejpam-4849	41	23	)	)	PUNCT
ejpam-4849	41	24	=	=	PUNCT
ejpam-4849	41	25	f(uk+1	f(uk+1	X
ejpam-4849	41	26	)	)	PUNCT
ejpam-4849	41	27	+	+	CCONJ
ejpam-4849	41	28	gtk+1(u−	gtk+1(u−	X
ejpam-4849	41	29	uk+1	uk+1	NOUN
ejpam-4849	41	30	)	)	PUNCT
ejpam-4849	41	31	+	+	CCONJ
ejpam-4849	41	32	1	1	NUM
ejpam-4849	41	33	2	2	NUM
ejpam-4849	41	34	(	(	PUNCT
ejpam-4849	41	35	u−	u−	PROPN
ejpam-4849	41	36	uk+1	uk+1	NOUN
ejpam-4849	41	37	)	)	PUNCT
ejpam-4849	41	38	tq(uk)(u−	tq(uk)(u−	X
ejpam-4849	41	39	uk+1	uk+1	NOUN
ejpam-4849	41	40	)	)	PUNCT
ejpam-4849	41	41	(	(	PUNCT
ejpam-4849	41	42	10	10	NUM
ejpam-4849	41	43	)	)	PUNCT
ejpam-4849	41	44	now	now	ADV
ejpam-4849	41	45	,	,	PUNCT
ejpam-4849	41	46	choosing	choose	VERB
ejpam-4849	41	47	u	u	NOUN
ejpam-4849	41	48	=	=	PROPN
ejpam-4849	41	49	uk	uk	PROPN
ejpam-4849	41	50	,	,	PUNCT
ejpam-4849	41	51	and	and	CCONJ
ejpam-4849	41	52	we	we	PRON
ejpam-4849	41	53	can	can	AUX
ejpam-4849	41	54	calculate	calculate	VERB
ejpam-4849	41	55	the	the	DET
ejpam-4849	41	56	derivative	derivative	NOUN
ejpam-4849	41	57	as	as	ADP
ejpam-4849	41	58	:	:	PUNCT
ejpam-4849	41	59	gk+1	gk+1	NOUN
ejpam-4849	41	60	=	=	PUNCT
ejpam-4849	41	61	gk	gk	PROPN
ejpam-4849	41	62	+	+	NOUN
ejpam-4849	41	63	q(uk)sk	q(uk)sk	NOUN
ejpam-4849	41	64	(	(	PUNCT
ejpam-4849	41	65	11	11	NUM
ejpam-4849	41	66	)	)	PUNCT
ejpam-4849	41	67	from	from	ADP
ejpam-4849	41	68	(	(	PUNCT
ejpam-4849	41	69	10	10	NUM
ejpam-4849	41	70	)	)	PUNCT
ejpam-4849	41	71	and	and	CCONJ
ejpam-4849	41	72	(	(	PUNCT
ejpam-4849	41	73	11	11	NUM
ejpam-4849	41	74	)	)	PUNCT
ejpam-4849	41	75	,	,	PUNCT
ejpam-4849	41	76	yield	yield	NOUN
ejpam-4849	41	77	:	:	PUNCT
ejpam-4849	41	78	stkq(uk)sk	stkq(uk)sk	PROPN
ejpam-4849	41	79	=	=	SYM
ejpam-4849	41	80	2(fk	2(fk	NUM
ejpam-4849	41	81	−	−	NOUN
ejpam-4849	41	82	fk+1	fk+1	NOUN
ejpam-4849	41	83	)	)	PUNCT
ejpam-4849	41	84	+	+	NUM
ejpam-4849	42	1	2ytk	2ytk	NUM
ejpam-4849	42	2	sk	sk	NOUN
ejpam-4849	42	3	+	+	NOUN
ejpam-4849	42	4	2gtk	2gtk	NOUN
ejpam-4849	42	5	sk	sk	NOUN
ejpam-4849	42	6	(	(	PUNCT
ejpam-4849	42	7	12	12	NUM
ejpam-4849	42	8	)	)	PUNCT
ejpam-4849	42	9	based	base	VERB
ejpam-4849	42	10	on	on	ADP
ejpam-4849	42	11	(	(	PUNCT
ejpam-4849	42	12	11	11	NUM
ejpam-4849	42	13	)	)	PUNCT
ejpam-4849	42	14	and	and	CCONJ
ejpam-4849	42	15	(	(	PUNCT
ejpam-4849	42	16	12	12	NUM
ejpam-4849	42	17	)	)	PUNCT
ejpam-4849	42	18	,	,	PUNCT
ejpam-4849	42	19	yield	yield	NOUN
ejpam-4849	42	20	:	:	PUNCT
ejpam-4849	42	21	dk+1	dk+1	NOUN
ejpam-4849	42	22	−stk	−stk	NOUN
ejpam-4849	42	23	gk+1	gk+1	NOUN
ejpam-4849	42	24	=	=	SYM
ejpam-4849	43	1	2(fk+1	2(fk+1	NUM
ejpam-4849	43	2	−	−	CCONJ
ejpam-4849	43	3	fk)−	fk)−	ADJ
ejpam-4849	43	4	2ytk	2ytk	PROPN
ejpam-4849	43	5	sk	sk	NOUN
ejpam-4849	43	6	−	−	PROPN
ejpam-4849	43	7	3gtk	3gtk	NUM
ejpam-4849	43	8	sk	sk	NOUN
ejpam-4849	43	9	.	.	PUNCT
ejpam-4849	44	1	(	(	PUNCT
ejpam-4849	44	2	13	13	NUM
ejpam-4849	44	3	)	)	PUNCT
ejpam-4849	44	4	perry	perry	PROPN
ejpam-4849	44	5	’s	’s	PART
ejpam-4849	44	6	conjugecy	conjugecy	NOUN
ejpam-4849	44	7	condition	condition	NOUN
ejpam-4849	44	8	is	be	AUX
ejpam-4849	44	9	defined	define	VERB
ejpam-4849	44	10	by	by	ADP
ejpam-4849	44	11	:	:	PUNCT
ejpam-4849	44	12	dtk+1yk	dtk+1yk	PROPN
ejpam-4849	44	13	=	=	PUNCT
ejpam-4849	44	14	−stk	−stk	NOUN
ejpam-4849	44	15	gk+1	gk+1	NOUN
ejpam-4849	44	16	(	(	PUNCT
ejpam-4849	44	17	14	14	NUM
ejpam-4849	44	18	)	)	PUNCT
ejpam-4849	44	19	based	base	VERB
ejpam-4849	44	20	on	on	ADP
ejpam-4849	44	21	(	(	PUNCT
ejpam-4849	44	22	12	12	NUM
ejpam-4849	44	23	)	)	PUNCT
ejpam-4849	44	24	and	and	CCONJ
ejpam-4849	44	25	(	(	PUNCT
ejpam-4849	44	26	14	14	NUM
ejpam-4849	44	27	)	)	PUNCT
ejpam-4849	44	28	,	,	PUNCT
ejpam-4849	44	29	yield	yield	NOUN
ejpam-4849	44	30	:	:	PUNCT
ejpam-4849	44	31	βkd	βkd	PROPN
ejpam-4849	45	1	t	t	PROPN
ejpam-4849	45	2	k	k	PROPN
ejpam-4849	45	3	yk	yk	PROPN
ejpam-4849	45	4	=	=	PROPN
ejpam-4849	46	1	gtk+1yk	gtk+1yk	NOUN
ejpam-4849	46	2	+	+	CCONJ
ejpam-4849	46	3	2(fk+1	2(fk+1	ADV
ejpam-4849	46	4	−	−	CCONJ
ejpam-4849	46	5	fk)−	fk)−	ADJ
ejpam-4849	46	6	2ytk	2ytk	PROPN
ejpam-4849	46	7	sk	sk	NOUN
ejpam-4849	46	8	−	−	PROPN
ejpam-4849	46	9	3gtk	3gtk	NUM
ejpam-4849	46	10	sk	sk	NOUN
ejpam-4849	46	11	.	.	PUNCT
ejpam-4849	47	1	(	(	PUNCT
ejpam-4849	47	2	15	15	NUM
ejpam-4849	47	3	)	)	PUNCT
ejpam-4849	47	4	as	as	SCONJ
ejpam-4849	47	5	resulted	result	VERB
ejpam-4849	47	6	:	:	PUNCT
ejpam-4849	47	7	βk	βk	ADP
ejpam-4849	47	8	=	=	PUNCT
ejpam-4849	47	9	gtk+1yk	gtk+1yk	NOUN
ejpam-4849	47	10	+	+	CCONJ
ejpam-4849	47	11	2(fk+1	2(fk+1	ADV
ejpam-4849	47	12	−	−	CCONJ
ejpam-4849	47	13	fk)−	fk)−	ADJ
ejpam-4849	47	14	2ytk	2ytk	PROPN
ejpam-4849	47	15	sk	sk	NOUN
ejpam-4849	47	16	−	−	PROPN
ejpam-4849	47	17	3gtk	3gtk	NUM
ejpam-4849	47	18	sk	sk	ADP
ejpam-4849	47	19	dtk	dtk	PROPN
ejpam-4849	47	20	yk	yk	PROPN
ejpam-4849	47	21	.	.	PUNCT
ejpam-4849	48	1	(	(	PUNCT
ejpam-4849	48	2	16	16	NUM
ejpam-4849	48	3	)	)	PUNCT
ejpam-4849	48	4	the	the	DET
ejpam-4849	48	5	ways	way	NOUN
ejpam-4849	48	6	that	that	PRON
ejpam-4849	48	7	the	the	DET
ejpam-4849	48	8	aforementioned	aforementioned	ADJ
ejpam-4849	48	9	parameter	parameter	NOUN
ejpam-4849	48	10	produced	produce	VERB
ejpam-4849	48	11	are	be	AUX
ejpam-4849	48	12	known	know	VERB
ejpam-4849	48	13	as	as	ADP
ejpam-4849	48	14	the	the	DET
ejpam-4849	48	15	new	new	ADJ
ejpam-4849	48	16	.	.	PUNCT
ejpam-4849	48	17	1627	1627	NUM
ejpam-4849	48	18	3	3	NUM
ejpam-4849	48	19	.	.	X
ejpam-4849	48	20	global	global	ADJ
ejpam-4849	48	21	convergence	convergence	NOUN
ejpam-4849	48	22	the	the	DET
ejpam-4849	48	23	aim	aim	NOUN
ejpam-4849	48	24	of	of	ADP
ejpam-4849	48	25	this	this	DET
ejpam-4849	48	26	part	part	NOUN
ejpam-4849	48	27	is	be	AUX
ejpam-4849	48	28	to	to	PART
ejpam-4849	48	29	study	study	VERB
ejpam-4849	48	30	the	the	DET
ejpam-4849	48	31	global	global	ADJ
ejpam-4849	48	32	convergence	convergence	NOUN
ejpam-4849	48	33	aspects	aspect	NOUN
ejpam-4849	48	34	of	of	ADP
ejpam-4849	48	35	the	the	DET
ejpam-4849	48	36	method	method	NOUN
ejpam-4849	48	37	.	.	PUNCT
ejpam-4849	49	1	we	we	PRON
ejpam-4849	49	2	start	start	VERB
ejpam-4849	49	3	by	by	ADP
ejpam-4849	49	4	doing	do	VERB
ejpam-4849	49	5	the	the	DET
ejpam-4849	49	6	following	follow	VERB
ejpam-4849	49	7	:	:	PUNCT
ejpam-4849	49	8	hypotheses	hypothesis	NOUN
ejpam-4849	49	9	(	(	PUNCT
ejpam-4849	49	10	i	i	NOUN
ejpam-4849	49	11	)	)	PUNCT
ejpam-4849	49	12	in	in	ADP
ejpam-4849	49	13	the	the	DET
ejpam-4849	49	14	level	level	NOUN
ejpam-4849	49	15	set	set	VERB
ejpam-4849	49	16	ω	ω	PROPN
ejpam-4849	49	17	=	=	SYM
ejpam-4849	49	18	{	{	PUNCT
ejpam-4849	49	19	u	u	NOUN
ejpam-4849	49	20	:	:	PUNCT
ejpam-4849	49	21	u	u	PROPN
ejpam-4849	49	22	∈	∈	PROPN
ejpam-4849	49	23	rn	rn	PROPN
ejpam-4849	49	24	,	,	PUNCT
ejpam-4849	49	25	f(u	f(u	PROPN
ejpam-4849	49	26	)	)	PUNCT
ejpam-4849	49	27	≤	≤	NUM
ejpam-4849	49	28	f(u1	f(u1	NOUN
ejpam-4849	49	29	)	)	PUNCT
ejpam-4849	49	30	}	}	PUNCT
ejpam-4849	49	31	is	be	AUX
ejpam-4849	49	32	bounded	bound	VERB
ejpam-4849	49	33	.	.	PUNCT
ejpam-4849	50	1	(	(	PUNCT
ejpam-4849	50	2	ii	ii	NOUN
ejpam-4849	50	3	)	)	PUNCT
ejpam-4849	50	4	in	in	ADP
ejpam-4849	50	5	some	some	DET
ejpam-4849	50	6	neighborhood	neighborhood	NOUN
ejpam-4849	50	7	λ	λ	NOUN
ejpam-4849	50	8	in	in	ADP
ejpam-4849	50	9	ω	ω	PROPN
ejpam-4849	50	10	,	,	PUNCT
ejpam-4849	50	11	the	the	DET
ejpam-4849	50	12	gradient	gradient	NOUN
ejpam-4849	50	13	g(u	g(u	PROPN
ejpam-4849	50	14	)	)	PUNCT
ejpam-4849	50	15	of	of	ADP
ejpam-4849	50	16	the	the	DET
ejpam-4849	50	17	function	function	NOUN
ejpam-4849	50	18	f(u	f(u	PROPN
ejpam-4849	50	19	)	)	PUNCT
ejpam-4849	50	20	is	be	AUX
ejpam-4849	50	21	satisfying	satisfy	VERB
ejpam-4849	50	22	lipchitz	lipchitz	NOUN
ejpam-4849	50	23	condition	condition	NOUN
ejpam-4849	50	24	as	as	ADP
ejpam-4849	50	25	:	:	PUNCT
ejpam-4849	50	26	∥g(t1)−	∥g(t1)−	NOUN
ejpam-4849	50	27	g(t2)∥	g(t2)∥	PROPN
ejpam-4849	50	28	≤	≤	NUM
ejpam-4849	50	29	l∥t1	l∥t1	PUNCT
ejpam-4849	50	30	−	−	NOUN
ejpam-4849	50	31	t2∥,∀t1	t2∥,∀t1	NOUN
ejpam-4849	50	32	,	,	PUNCT
ejpam-4849	50	33	t2	t2	PROPN
ejpam-4849	50	34	∈	∈	PROPN
ejpam-4849	50	35	λ	λ	PROPN
ejpam-4849	50	36	(	(	PUNCT
ejpam-4849	50	37	17	17	NUM
ejpam-4849	50	38	)	)	PUNCT
ejpam-4849	50	39	where	where	SCONJ
ejpam-4849	50	40	l	l	NOUN
ejpam-4849	50	41	is	be	AUX
ejpam-4849	50	42	lipchitz	lipchitz	NOUN
ejpam-4849	50	43	constant	constant	ADJ
ejpam-4849	50	44	.	.	PUNCT
ejpam-4849	51	1	the	the	DET
ejpam-4849	51	2	assumption	assumption	NOUN
ejpam-4849	51	3	1	1	NUM
ejpam-4849	51	4	above	above	ADJ
ejpam-4849	51	5	implies	imply	VERB
ejpam-4849	51	6	that	that	SCONJ
ejpam-4849	51	7	there	there	PRON
ejpam-4849	51	8	exists	exist	VERB
ejpam-4849	51	9	µ	µ	X
ejpam-4849	51	10	>	>	X
ejpam-4849	51	11	0	0	NUM
ejpam-4849	51	12	such	such	ADJ
ejpam-4849	51	13	that	that	SCONJ
ejpam-4849	51	14	:	:	PUNCT
ejpam-4849	51	15	(	(	PUNCT
ejpam-4849	51	16	∇f(r1)−∇f(r2	∇f(r1)−∇f(r2	NOUN
ejpam-4849	51	17	)	)	PUNCT
ejpam-4849	51	18	)	)	PUNCT
ejpam-4849	52	1	t	t	PROPN
ejpam-4849	52	2	≥	≥	NUM
ejpam-4849	52	3	µ∥r1	µ∥r1	PUNCT
ejpam-4849	52	4	−	−	PROPN
ejpam-4849	52	5	r2∥2	r2∥2	PROPN
ejpam-4849	52	6	,	,	PUNCT
ejpam-4849	52	7	∀r1	∀r1	NOUN
ejpam-4849	52	8	,	,	PUNCT
ejpam-4849	52	9	r2	r2	PROPN
ejpam-4849	52	10	∈	∈	PROPN
ejpam-4849	52	11	rn	rn	PROPN
ejpam-4849	52	12	(	(	PUNCT
ejpam-4849	52	13	18	18	NUM
ejpam-4849	52	14	)	)	PUNCT
ejpam-4849	52	15	see	see	VERB
ejpam-4849	52	16	[	[	X
ejpam-4849	52	17	8	8	NUM
ejpam-4849	52	18	]	]	PUNCT
ejpam-4849	52	19	and	and	CCONJ
ejpam-4849	52	20	[	[	X
ejpam-4849	52	21	10	10	NUM
ejpam-4849	52	22	]	]	PUNCT
ejpam-4849	52	23	.	.	PUNCT
ejpam-4849	53	1	theorem	theorem	NOUN
ejpam-4849	53	2	1	1	X
ejpam-4849	53	3	.	.	PUNCT
ejpam-4849	54	1	let	let	VERB
ejpam-4849	54	2	our	our	PRON
ejpam-4849	54	3	assumption	assumption	NOUN
ejpam-4849	54	4	hold	hold	NOUN
ejpam-4849	54	5	.	.	PUNCT
ejpam-4849	55	1	then	then	ADV
ejpam-4849	55	2	:	:	PUNCT
ejpam-4849	55	3	dtk+1gk+1	dtk+1gk+1	VERB
ejpam-4849	55	4	≤	≤	PROPN
ejpam-4849	55	5	−c∥gk+1∥2	−c∥gk+1∥2	NOUN
ejpam-4849	55	6	.	.	PUNCT
ejpam-4849	56	1	(	(	PUNCT
ejpam-4849	56	2	19	19	NUM
ejpam-4849	56	3	)	)	PUNCT
ejpam-4849	56	4	proof	proof	NOUN
ejpam-4849	56	5	.	.	PUNCT
ejpam-4849	57	1	if	if	SCONJ
ejpam-4849	57	2	k	k	PROPN
ejpam-4849	57	3	=	=	PUNCT
ejpam-4849	57	4	0	0	PUNCT
ejpam-4849	58	1	after	after	ADP
ejpam-4849	58	2	that	that	DET
ejpam-4849	58	3	gt0	gt0	NOUN
ejpam-4849	58	4	d0	d0	NOUN
ejpam-4849	58	5	=	=	PUNCT
ejpam-4849	58	6	−∥g0∥2	−∥g0∥2	PROPN
ejpam-4849	58	7	.	.	PUNCT
ejpam-4849	59	1	let	let	VERB
ejpam-4849	59	2	dtk	dtk	PROPN
ejpam-4849	59	3	gk	gk	PROPN
ejpam-4849	59	4	<	<	X
ejpam-4849	59	5	0	0	PUNCT
ejpam-4849	59	6	for	for	ADP
ejpam-4849	59	7	all	all	DET
ejpam-4849	59	8	k.	k.	PROPN
ejpam-4849	59	9	multiply	multiply	PROPN
ejpam-4849	59	10	(	(	PUNCT
ejpam-4849	59	11	7	7	NUM
ejpam-4849	59	12	)	)	PUNCT
ejpam-4849	59	13	by	by	ADP
ejpam-4849	59	14	gk+1	gk+1	NOUN
ejpam-4849	59	15	,	,	PUNCT
ejpam-4849	59	16	we	we	PRON
ejpam-4849	59	17	obtain	obtain	VERB
ejpam-4849	59	18	:	:	PUNCT
ejpam-4849	59	19	dtk+1gk+1	dtk+1gk+1	PROPN
ejpam-4849	59	20	=	=	PUNCT
ejpam-4849	60	1	−gtk+1gk+1	−gtk+1gk+1	PROPN
ejpam-4849	61	1	+	+	CCONJ
ejpam-4849	61	2	βks	βks	CCONJ
ejpam-4849	61	3	t	t	X
ejpam-4849	61	4	k	k	PROPN
ejpam-4849	61	5	gk+1	gk+1	X
ejpam-4849	61	6	(	(	PUNCT
ejpam-4849	61	7	20	20	NUM
ejpam-4849	61	8	)	)	PUNCT
ejpam-4849	61	9	by	by	ADP
ejpam-4849	61	10	substituting	substitute	VERB
ejpam-4849	61	11	(	(	PUNCT
ejpam-4849	61	12	16	16	NUM
ejpam-4849	61	13	)	)	PUNCT
ejpam-4849	61	14	into	into	ADP
ejpam-4849	61	15	(	(	PUNCT
ejpam-4849	61	16	20	20	NUM
ejpam-4849	61	17	)	)	PUNCT
ejpam-4849	61	18	and	and	CCONJ
ejpam-4849	61	19	using	use	VERB
ejpam-4849	61	20	(	(	PUNCT
ejpam-4849	61	21	11	11	NUM
ejpam-4849	61	22	)	)	PUNCT
ejpam-4849	61	23	,	,	PUNCT
ejpam-4849	61	24	we	we	PRON
ejpam-4849	61	25	obtain	obtain	VERB
ejpam-4849	61	26	:	:	PUNCT
ejpam-4849	61	27	dtk+1gk+1	dtk+1gk+1	PROPN
ejpam-4849	62	1	=	=	SYM
ejpam-4849	62	2	−∥gk+1∥2	−∥gk+1∥2	PROPN
ejpam-4849	62	3	+	+	CCONJ
ejpam-4849	62	4	(	(	PUNCT
ejpam-4849	62	5	gtk+1yk	gtk+1yk	PROPN
ejpam-4849	62	6	stk	stk	PROPN
ejpam-4849	62	7	yk	yk	PROPN
ejpam-4849	62	8	−	−	PROPN
ejpam-4849	62	9	stk	stk	PROPN
ejpam-4849	62	10	gk+1	gk+1	PROPN
ejpam-4849	62	11	stk	stk	PROPN
ejpam-4849	62	12	yk	yk	PROPN
ejpam-4849	62	13	)	)	PUNCT
ejpam-4849	62	14	stk	stk	PROPN
ejpam-4849	62	15	gk+1	gk+1	X
ejpam-4849	62	16	(	(	PUNCT
ejpam-4849	62	17	21	21	NUM
ejpam-4849	62	18	)	)	PUNCT
ejpam-4849	63	1	it	it	PRON
ejpam-4849	63	2	’s	’	VERB
ejpam-4849	63	3	implies	imply	VERB
ejpam-4849	63	4	:	:	PUNCT
ejpam-4849	63	5	dtk+1gk+1	dtk+1gk+1	X
ejpam-4849	63	6	=	=	SYM
ejpam-4849	63	7	−∥gk+1∥2	−∥gk+1∥2	PROPN
ejpam-4849	63	8	+	+	CCONJ
ejpam-4849	63	9	gtk+1yks	gtk+1yks	PROPN
ejpam-4849	63	10	t	t	PROPN
ejpam-4849	63	11	k	k	PROPN
ejpam-4849	63	12	gk+1	gk+1	PROPN
ejpam-4849	63	13	stk	stk	PROPN
ejpam-4849	63	14	yk	yk	PROPN
ejpam-4849	64	1	−	−	PROPN
ejpam-4849	65	1	(	(	PUNCT
ejpam-4849	65	2	stk	stk	PROPN
ejpam-4849	65	3	gk+1	gk+1	NOUN
ejpam-4849	65	4	)	)	PUNCT
ejpam-4849	65	5	2	2	NUM
ejpam-4849	65	6	stk	stk	PROPN
ejpam-4849	65	7	yk	yk	PROPN
ejpam-4849	65	8	(	(	PUNCT
ejpam-4849	65	9	22	22	NUM
ejpam-4849	65	10	)	)	PUNCT
ejpam-4849	65	11	apply	apply	VERB
ejpam-4849	65	12	cauchy	cauchy	PROPN
ejpam-4849	65	13	-	-	PUNCT
ejpam-4849	65	14	schwartz	schwartz	PROPN
ejpam-4849	65	15	inequality	inequality	NOUN
ejpam-4849	65	16	wt	wt	PROPN
ejpam-4849	65	17	v	v	NOUN
ejpam-4849	65	18	≤	≤	NUM
ejpam-4849	65	19	1	1	NUM
ejpam-4849	65	20	2(∥w∥	2(∥w∥	NUM
ejpam-4849	65	21	2	2	NUM
ejpam-4849	65	22	+	+	CCONJ
ejpam-4849	65	23	∥v∥2	∥v∥2	NOUN
ejpam-4849	65	24	,	,	PUNCT
ejpam-4849	65	25	where	where	SCONJ
ejpam-4849	65	26	w	w	NOUN
ejpam-4849	65	27	=	=	SYM
ejpam-4849	65	28	(	(	PUNCT
ejpam-4849	65	29	ytk	ytk	NOUN
ejpam-4849	65	30	sk)gk+1	sk)gk+1	ADJ
ejpam-4849	65	31	and	and	CCONJ
ejpam-4849	65	32	v	v	NOUN
ejpam-4849	65	33	=	=	PUNCT
ejpam-4849	65	34	(	(	PUNCT
ejpam-4849	65	35	stk	stk	PROPN
ejpam-4849	65	36	gk+1)yk	gk+1)yk	VERB
ejpam-4849	65	37	we	we	PRON
ejpam-4849	65	38	get	get	VERB
ejpam-4849	65	39	:	:	PUNCT
ejpam-4849	65	40	gtk+1yks	gtk+1yks	PROPN
ejpam-4849	65	41	t	t	PROPN
ejpam-4849	65	42	k	k	PROPN
ejpam-4849	65	43	gk+1	gk+1	PROPN
ejpam-4849	65	44	stk	stk	PROPN
ejpam-4849	65	45	yk	yk	PROPN
ejpam-4849	65	46	≤	≤	NUM
ejpam-4849	65	47	1	1	NUM
ejpam-4849	65	48	2	2	NUM
ejpam-4849	65	49	[	[	X
ejpam-4849	65	50	∥gk+1∥2(ytk	∥gk+1∥2(ytk	X
ejpam-4849	65	51	sk)2	sk)2	NOUN
ejpam-4849	65	52	+	+	CCONJ
ejpam-4849	65	53	(	(	PUNCT
ejpam-4849	65	54	stk	stk	PROPN
ejpam-4849	65	55	gk+1	gk+1	NOUN
ejpam-4849	65	56	)	)	PUNCT
ejpam-4849	65	57	2∥yk∥2	2∥yk∥2	NUM
ejpam-4849	65	58	]	]	PUNCT
ejpam-4849	65	59	(	(	PUNCT
ejpam-4849	65	60	stk	stk	PROPN
ejpam-4849	65	61	yk	yk	PROPN
ejpam-4849	65	62	)	)	PUNCT
ejpam-4849	65	63	2	2	NUM
ejpam-4849	65	64	(	(	PUNCT
ejpam-4849	65	65	23	23	NUM
ejpam-4849	65	66	)	)	PUNCT
ejpam-4849	65	67	putting	put	VERB
ejpam-4849	65	68	(	(	PUNCT
ejpam-4849	65	69	23	23	NUM
ejpam-4849	65	70	)	)	PUNCT
ejpam-4849	65	71	in	in	ADP
ejpam-4849	65	72	(	(	PUNCT
ejpam-4849	65	73	22	22	NUM
ejpam-4849	65	74	)	)	PUNCT
ejpam-4849	65	75	we	we	PRON
ejpam-4849	65	76	have	have	AUX
ejpam-4849	65	77	:	:	PUNCT
ejpam-4849	65	78	dtk+1gk+1	dtk+1gk+1	VERB
ejpam-4849	65	79	≤	≤	X
ejpam-4849	65	80	−∥gk+1∥2	−∥gk+1∥2	PROPN
ejpam-4849	65	81	+	+	CCONJ
ejpam-4849	65	82	1/2[∥gk+1∥2(ytk	1/2[∥gk+1∥2(ytk	ADJ
ejpam-4849	65	83	sk)2	sk)2	PROPN
ejpam-4849	65	84	+	+	CCONJ
ejpam-4849	65	85	(	(	PUNCT
ejpam-4849	65	86	stk	stk	PROPN
ejpam-4849	65	87	gk+1	gk+1	NOUN
ejpam-4849	65	88	)	)	PUNCT
ejpam-4849	65	89	2∥yk∥2	2∥yk∥2	NUM
ejpam-4849	65	90	]	]	PUNCT
ejpam-4849	65	91	(	(	PUNCT
ejpam-4849	65	92	stk	stk	PROPN
ejpam-4849	65	93	yk	yk	PROPN
ejpam-4849	65	94	)	)	PUNCT
ejpam-4849	65	95	2	2	NUM
ejpam-4849	65	96	−	−	PROPN
ejpam-4849	65	97	(	(	PUNCT
ejpam-4849	65	98	stk	stk	PROPN
ejpam-4849	65	99	gk+1	gk+1	NOUN
ejpam-4849	65	100	)	)	PUNCT
ejpam-4849	65	101	2	2	NUM
ejpam-4849	65	102	stk	stk	PROPN
ejpam-4849	65	103	yk	yk	PROPN
ejpam-4849	65	104	(	(	PUNCT
ejpam-4849	65	105	24	24	NUM
ejpam-4849	65	106	)	)	PUNCT
ejpam-4849	65	107	1628	1628	NUM
ejpam-4849	65	108	using	use	VERB
ejpam-4849	65	109	(	(	PUNCT
ejpam-4849	65	110	17	17	NUM
ejpam-4849	65	111	)	)	PUNCT
ejpam-4849	65	112	in	in	ADP
ejpam-4849	65	113	(	(	PUNCT
ejpam-4849	65	114	24	24	NUM
ejpam-4849	65	115	)	)	PUNCT
ejpam-4849	65	116	,	,	PUNCT
ejpam-4849	65	117	it	it	PRON
ejpam-4849	65	118	’s	’	VERB
ejpam-4849	65	119	ensures	ensure	VERB
ejpam-4849	65	120	:	:	PUNCT
ejpam-4849	65	121	dtk+1gk+1	dtk+1gk+1	X
ejpam-4849	65	122	≤	≤	NUM
ejpam-4849	65	123	−1	−1	NOUN
ejpam-4849	65	124	2	2	NUM
ejpam-4849	65	125	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4849	65	126	+	+	CCONJ
ejpam-4849	65	127	[	[	PUNCT
ejpam-4849	65	128	1	1	NUM
ejpam-4849	65	129	2	2	NUM
ejpam-4849	65	130	l−	l−	NOUN
ejpam-4849	65	131	1	1	NUM
ejpam-4849	65	132	]	]	PUNCT
ejpam-4849	65	133	(	(	PUNCT
ejpam-4849	65	134	stk	stk	PROPN
ejpam-4849	65	135	gk+1	gk+1	NOUN
ejpam-4849	65	136	)	)	PUNCT
ejpam-4849	65	137	2	2	NUM
ejpam-4849	65	138	stk	stk	PROPN
ejpam-4849	65	139	yk	yk	PROPN
ejpam-4849	65	140	(	(	PUNCT
ejpam-4849	65	141	25	25	NUM
ejpam-4849	65	142	)	)	PUNCT
ejpam-4849	65	143	as	as	ADP
ejpam-4849	65	144	results	result	NOUN
ejpam-4849	65	145	:	:	PUNCT
ejpam-4849	65	146	dtk+1gk+1	dtk+1gk+1	X
ejpam-4849	65	147	≤	≤	NUM
ejpam-4849	65	148	−c∥gk+1∥2	−c∥gk+1∥2	NOUN
ejpam-4849	65	149	(	(	PUNCT
ejpam-4849	65	150	26	26	NUM
ejpam-4849	65	151	)	)	PUNCT
ejpam-4849	65	152	so	so	SCONJ
ejpam-4849	65	153	it	it	PRON
ejpam-4849	65	154	has	have	AUX
ejpam-4849	65	155	been	be	AUX
ejpam-4849	65	156	proved	prove	VERB
ejpam-4849	65	157	.	.	PUNCT
ejpam-4849	66	1	any	any	DET
ejpam-4849	66	2	conjugate	conjugate	ADJ
ejpam-4849	66	3	gradient	gradient	NOUN
ejpam-4849	66	4	technique	technique	NOUN
ejpam-4849	66	5	with	with	ADP
ejpam-4849	66	6	wolfe	wolfe	PROPN
ejpam-4849	66	7	line	line	NOUN
ejpam-4849	66	8	search	search	NOUN
ejpam-4849	66	9	converges	converge	NOUN
ejpam-4849	66	10	.	.	PUNCT
ejpam-4849	67	1	a	a	DET
ejpam-4849	67	2	weak	weak	ADJ
ejpam-4849	67	3	zoutendijk	zoutendijk	NOUN
ejpam-4849	67	4	condition	condition	NOUN
ejpam-4849	67	5	[	[	X
ejpam-4849	67	6	16	16	NUM
ejpam-4849	67	7	]	]	PUNCT
ejpam-4849	67	8	is	be	AUX
ejpam-4849	67	9	sufficient	sufficient	ADJ
ejpam-4849	67	10	.	.	PUNCT
ejpam-4849	68	1	lemma	lemma	PROPN
ejpam-4849	68	2	1	1	NUM
ejpam-4849	68	3	.	.	PUNCT
ejpam-4849	69	1	in	in	ADP
ejpam-4849	69	2	the	the	DET
ejpam-4849	69	3	event	event	NOUN
ejpam-4849	69	4	that	that	SCONJ
ejpam-4849	69	5	the	the	DET
ejpam-4849	69	6	hypotheses	hypothesis	NOUN
ejpam-4849	69	7	are	be	AUX
ejpam-4849	69	8	true	true	ADJ
ejpam-4849	69	9	,	,	PUNCT
ejpam-4849	69	10	let	let	VERB
ejpam-4849	69	11	{	{	PUNCT
ejpam-4849	69	12	uk	uk	PROPN
ejpam-4849	69	13	}	}	PUNCT
ejpam-4849	69	14	produced	produce	VERB
ejpam-4849	69	15	by	by	ADP
ejpam-4849	69	16	(	(	PUNCT
ejpam-4849	69	17	3	3	NUM
ejpam-4849	69	18	)	)	PUNCT
ejpam-4849	69	19	,	,	PUNCT
ejpam-4849	69	20	dk	dk	PROPN
ejpam-4849	69	21	be	be	AUX
ejpam-4849	69	22	the	the	DET
ejpam-4849	69	23	direction	direction	NOUN
ejpam-4849	69	24	of	of	ADP
ejpam-4849	69	25	descent	descent	NOUN
ejpam-4849	69	26	,	,	PUNCT
ejpam-4849	69	27	αk	αk	CCONJ
ejpam-4849	69	28	meet	meet	VERB
ejpam-4849	69	29	wolfe	wolfe	PROPN
ejpam-4849	69	30	conditions	condition	NOUN
ejpam-4849	69	31	,	,	PUNCT
ejpam-4849	69	32	and	and	CCONJ
ejpam-4849	69	33	if:∑	if:∑	ADJ
ejpam-4849	69	34	k≥0	k≥0	PROPN
ejpam-4849	69	35	1	1	NUM
ejpam-4849	69	36	∥dk+1∥2	∥dk+1∥2	NOUN
ejpam-4849	69	37	=	=	SYM
ejpam-4849	69	38	∞	∞	PROPN
ejpam-4849	69	39	(	(	PUNCT
ejpam-4849	69	40	27	27	NUM
ejpam-4849	69	41	)	)	PUNCT
ejpam-4849	69	42	then	then	ADV
ejpam-4849	69	43	lim	lim	PROPN
ejpam-4849	69	44	k→∞	k→∞	NOUN
ejpam-4849	69	45	inf∥gk∥	inf∥gk∥	PROPN
ejpam-4849	70	1	=	=	NOUN
ejpam-4849	70	2	0	0	X
ejpam-4849	70	3	.	.	PUNCT
ejpam-4849	71	1	(	(	PUNCT
ejpam-4849	71	2	28	28	NUM
ejpam-4849	71	3	)	)	PUNCT
ejpam-4849	71	4	theorem	theorem	NOUN
ejpam-4849	71	5	2	2	NUM
ejpam-4849	71	6	.	.	PUNCT
ejpam-4849	71	7	new	new	ADJ
ejpam-4849	71	8	algorithm	algorithm	NOUN
ejpam-4849	71	9	converges	converge	VERB
ejpam-4849	71	10	globally	globally	ADV
ejpam-4849	71	11	whenever	whenever	SCONJ
ejpam-4849	71	12	our	our	PRON
ejpam-4849	71	13	assumption	assumption	NOUN
ejpam-4849	71	14	hold	hold	NOUN
ejpam-4849	71	15	,	,	PUNCT
ejpam-4849	71	16	i.e.	i.e.	X
ejpam-4849	71	17	:	:	PUNCT
ejpam-4849	71	18	lim	lim	PROPN
ejpam-4849	71	19	k→∞	k→∞	NOUN
ejpam-4849	71	20	inf∥gk∥	inf∥gk∥	PROPN
ejpam-4849	72	1	=	=	SYM
ejpam-4849	72	2	0	0	NUM
ejpam-4849	72	3	(	(	PUNCT
ejpam-4849	72	4	29	29	NUM
ejpam-4849	72	5	)	)	PUNCT
ejpam-4849	72	6	proof	proof	NOUN
ejpam-4849	72	7	.	.	PUNCT
ejpam-4849	73	1	but	but	CCONJ
ejpam-4849	73	2	it	it	PRON
ejpam-4849	73	3	holds	hold	VERB
ejpam-4849	73	4	from	from	ADP
ejpam-4849	73	5	(	(	PUNCT
ejpam-4849	73	6	9	9	NUM
ejpam-4849	73	7	)	)	PUNCT
ejpam-4849	73	8	,	,	PUNCT
ejpam-4849	73	9	that	that	SCONJ
ejpam-4849	73	10	:	:	PUNCT
ejpam-4849	73	11	∥dk+1∥	∥dk+1∥	NOUN
ejpam-4849	73	12	=	=	SYM
ejpam-4849	73	13	∥	∥	X
ejpam-4849	73	14	−	−	NOUN
ejpam-4849	73	15	gk+1	gk+1	NOUN
ejpam-4849	73	16	+	+	CCONJ
ejpam-4849	73	17	βnew	βnew	ADJ
ejpam-4849	73	18	k	k	X
ejpam-4849	73	19	sk∥	sk∥	PROPN
ejpam-4849	73	20	(	(	PUNCT
ejpam-4849	73	21	30	30	NUM
ejpam-4849	73	22	)	)	PUNCT
ejpam-4849	73	23	putting	put	VERB
ejpam-4849	73	24	(	(	PUNCT
ejpam-4849	73	25	16	16	NUM
ejpam-4849	73	26	)	)	PUNCT
ejpam-4849	73	27	in	in	ADP
ejpam-4849	73	28	(	(	PUNCT
ejpam-4849	73	29	30	30	NUM
ejpam-4849	73	30	)	)	PUNCT
ejpam-4849	73	31	by	by	ADP
ejpam-4849	73	32	using	use	VERB
ejpam-4849	73	33	(	(	PUNCT
ejpam-4849	73	34	11	11	NUM
ejpam-4849	73	35	)	)	PUNCT
ejpam-4849	73	36	,	,	PUNCT
ejpam-4849	73	37	implies	imply	VERB
ejpam-4849	73	38	:	:	PUNCT
ejpam-4849	73	39	∥dk+1∥	∥dk+1∥	NOUN
ejpam-4849	73	40	=	=	SYM
ejpam-4849	73	41	∥	∥	X
ejpam-4849	73	42	−	−	NOUN
ejpam-4849	73	43	gk+1	gk+1	NOUN
ejpam-4849	73	44	+	+	CCONJ
ejpam-4849	73	45	gtk+1yk	gtk+1yk	PROPN
ejpam-4849	73	46	dtk	dtk	PROPN
ejpam-4849	73	47	yk	yk	PROPN
ejpam-4849	73	48	sk	sk	VERB
ejpam-4849	73	49	−	−	PROPN
ejpam-4849	73	50	stk	stk	PROPN
ejpam-4849	73	51	gk+1	gk+1	NUM
ejpam-4849	73	52	dtk	dtk	PROPN
ejpam-4849	73	53	yk	yk	PROPN
ejpam-4849	73	54	sk∥	sk∥	PROPN
ejpam-4849	73	55	(	(	PUNCT
ejpam-4849	73	56	31	31	NUM
ejpam-4849	73	57	)	)	PUNCT
ejpam-4849	73	58	finally	finally	ADV
ejpam-4849	73	59	,	,	PUNCT
ejpam-4849	73	60	using	use	VERB
ejpam-4849	73	61	(	(	PUNCT
ejpam-4849	73	62	17	17	NUM
ejpam-4849	73	63	)	)	PUNCT
ejpam-4849	73	64	and	and	CCONJ
ejpam-4849	73	65	(	(	PUNCT
ejpam-4849	73	66	18	18	NUM
ejpam-4849	73	67	)	)	PUNCT
ejpam-4849	73	68	,	,	PUNCT
ejpam-4849	73	69	it	it	PRON
ejpam-4849	73	70	gets	get	VERB
ejpam-4849	73	71	as	as	ADP
ejpam-4849	73	72	:	:	PUNCT
ejpam-4849	73	73	c∥dk+1∥	c∥dk+1∥	PROPN
ejpam-4849	73	74	≤	≤	PROPN
ejpam-4849	73	75	∥gk+1∥+	∥gk+1∥+	X
ejpam-4849	73	76	∥gk+1∥l∥sk∥2	∥gk+1∥l∥sk∥2	NOUN
ejpam-4849	73	77	µ∥sk∥2	µ∥sk∥2	NOUN
ejpam-4849	74	1	+	+	CCONJ
ejpam-4849	74	2	∥gk+1∥∥sk∥2	∥gk+1∥∥sk∥2	PROPN
ejpam-4849	74	3	µ∥sk∥2	µ∥sk∥2	ADJ
ejpam-4849	74	4	≤	≤	NUM
ejpam-4849	74	5	(	(	PUNCT
ejpam-4849	74	6	1	1	NUM
ejpam-4849	74	7	+	+	NUM
ejpam-4849	74	8	l	l	NOUN
ejpam-4849	74	9	µ	µ	X
ejpam-4849	74	10	+	+	CCONJ
ejpam-4849	74	11	1	1	NUM
ejpam-4849	74	12	µ	µ	NOUN
ejpam-4849	74	13	)	)	PUNCT
ejpam-4849	74	14	∥gk+1∥	∥gk+1∥	NUM
ejpam-4849	74	15	≤	≤	NOUN
ejpam-4849	74	16	[	[	PUNCT
ejpam-4849	74	17	µ+	µ+	X
ejpam-4849	74	18	l+	l+	X
ejpam-4849	74	19	1	1	NUM
ejpam-4849	74	20	µ	µ	NOUN
ejpam-4849	74	21	]	]	PUNCT
ejpam-4849	74	22	∥gk+1∥	∥gk+1∥	NUM
ejpam-4849	74	23	(	(	PUNCT
ejpam-4849	74	24	32	32	NUM
ejpam-4849	74	25	)	)	PUNCT
ejpam-4849	74	26	therefore	therefore	ADV
ejpam-4849	74	27	,	,	PUNCT
ejpam-4849	74	28	∑	∑	PUNCT
ejpam-4849	74	29	k≥1	k≥1	PROPN
ejpam-4849	74	30	1	1	NUM
ejpam-4849	74	31	∥dk∥2	∥dk∥2	PROPN
ejpam-4849	74	32	≥	≥	NUM
ejpam-4849	74	33	(	(	PUNCT
ejpam-4849	74	34	µ	µ	X
ejpam-4849	74	35	µ+	µ+	X
ejpam-4849	74	36	l+	l+	X
ejpam-4849	74	37	1	1	NUM
ejpam-4849	74	38	)	)	SYM
ejpam-4849	74	39	1	1	NUM
ejpam-4849	74	40	γ	γ	X
ejpam-4849	74	41	∑	∑	PUNCT
ejpam-4849	74	42	k≥1	k≥1	PROPN
ejpam-4849	74	43	1	1	NUM
ejpam-4849	74	44	=	=	SYM
ejpam-4849	74	45	∞	∞	NUM
ejpam-4849	74	46	(	(	PUNCT
ejpam-4849	74	47	33	33	NUM
ejpam-4849	74	48	)	)	PUNCT
ejpam-4849	74	49	applying	apply	VERB
ejpam-4849	74	50	lemma	lemma	PROPN
ejpam-4849	74	51	,	,	PUNCT
ejpam-4849	74	52	this	this	DET
ejpam-4849	74	53	research	research	NOUN
ejpam-4849	74	54	concludes	conclude	VERB
ejpam-4849	74	55	that	that	SCONJ
ejpam-4849	74	56	limk→∞	limk→∞	ADV
ejpam-4849	74	57	inf∥gk∥	inf∥gk∥	ADJ
ejpam-4849	74	58	=	=	SYM
ejpam-4849	74	59	0	0	NUM
ejpam-4849	74	60	.	.	NOUN
ejpam-4849	74	61	1629	1629	NUM
ejpam-4849	74	62	4	4	NUM
ejpam-4849	74	63	.	.	PUNCT
ejpam-4849	74	64	numerical	numerical	ADJ
ejpam-4849	74	65	results	result	NOUN
ejpam-4849	74	66	in	in	ADP
ejpam-4849	74	67	order	order	NOUN
ejpam-4849	74	68	to	to	PART
ejpam-4849	74	69	demonstrate	demonstrate	VERB
ejpam-4849	74	70	how	how	SCONJ
ejpam-4849	74	71	well	well	ADV
ejpam-4849	74	72	new	new	ADJ
ejpam-4849	74	73	reduces	reduce	VERB
ejpam-4849	74	74	salt	salt	NOUN
ejpam-4849	74	75	-	-	PUNCT
ejpam-4849	74	76	and	and	CCONJ
ejpam-4849	74	77	-	-	PUNCT
ejpam-4849	74	78	pepper	pepper	NOUN
ejpam-4849	74	79	impulse	impulse	ADJ
ejpam-4849	74	80	noise	noise	NOUN
ejpam-4849	74	81	,	,	PUNCT
ejpam-4849	74	82	we	we	PRON
ejpam-4849	74	83	provide	provide	VERB
ejpam-4849	74	84	some	some	DET
ejpam-4849	74	85	numerical	numerical	ADJ
ejpam-4849	74	86	data	datum	NOUN
ejpam-4849	74	87	.	.	PUNCT
ejpam-4849	75	1	we	we	PRON
ejpam-4849	75	2	evaluate	evaluate	VERB
ejpam-4849	75	3	the	the	DET
ejpam-4849	75	4	fr	fr	PROPN
ejpam-4849	75	5	approach	approach	NOUN
ejpam-4849	75	6	as	as	ADV
ejpam-4849	75	7	well	well	ADV
ejpam-4849	75	8	as	as	ADP
ejpam-4849	75	9	the	the	DET
ejpam-4849	75	10	new	new	ADJ
ejpam-4849	75	11	method	method	NOUN
ejpam-4849	75	12	.	.	PUNCT
ejpam-4849	76	1	we	we	PRON
ejpam-4849	76	2	function	function	VERB
ejpam-4849	76	3	in	in	ADP
ejpam-4849	76	4	this	this	DET
ejpam-4849	76	5	manner	manner	NOUN
ejpam-4849	76	6	.	.	PUNCT
ejpam-4849	77	1	with	with	ADP
ejpam-4849	77	2	matlab	matlab	PROPN
ejpam-4849	77	3	r2017a	r2017a	PROPN
ejpam-4849	77	4	,	,	PUNCT
ejpam-4849	77	5	each	each	DET
ejpam-4849	77	6	code	code	NOUN
ejpam-4849	77	7	is	be	AUX
ejpam-4849	77	8	present	present	ADJ
ejpam-4849	77	9	.	.	PUNCT
ejpam-4849	78	1	then	then	ADV
ejpam-4849	78	2	they	they	PRON
ejpam-4849	78	3	are	be	AUX
ejpam-4849	78	4	executed	execute	VERB
ejpam-4849	78	5	by	by	ADP
ejpam-4849	78	6	a	a	DET
ejpam-4849	78	7	computer	computer	NOUN
ejpam-4849	78	8	.	.	PUNCT
ejpam-4849	79	1	these	these	PRON
ejpam-4849	79	2	are	be	AUX
ejpam-4849	79	3	the	the	DET
ejpam-4849	79	4	circumstances	circumstance	NOUN
ejpam-4849	79	5	that	that	PRON
ejpam-4849	79	6	will	will	AUX
ejpam-4849	79	7	cause	cause	VERB
ejpam-4849	79	8	both	both	DET
ejpam-4849	79	9	techniques	technique	NOUN
ejpam-4849	79	10	to	to	PART
ejpam-4849	79	11	stop	stop	VERB
ejpam-4849	79	12	:	:	PUNCT
ejpam-4849	79	13	∥f(uk)∥	∥f(uk)∥	VERB
ejpam-4849	79	14	≤	≤	NUM
ejpam-4849	79	15	10−4(1	10−4(1	NUM
ejpam-4849	79	16	+	+	NUM
ejpam-4849	79	17	|f(uk)|	|f(uk)|	NOUN
ejpam-4849	79	18	)	)	PUNCT
ejpam-4849	79	19	and	and	CCONJ
ejpam-4849	79	20	|f(uk)−	|f(uk)−	ADJ
ejpam-4849	79	21	f(uk−1)|	f(uk−1)|	PROPN
ejpam-4849	79	22	|f(uk)|	|f(uk)|	VERB
ejpam-4849	79	23	≤	≤	NUM
ejpam-4849	79	24	10−4	10−4	NUM
ejpam-4849	79	25	(	(	PUNCT
ejpam-4849	79	26	34	34	NUM
ejpam-4849	79	27	)	)	PUNCT
ejpam-4849	79	28	in	in	ADP
ejpam-4849	79	29	addition	addition	NOUN
ejpam-4849	79	30	to	to	ADP
ejpam-4849	79	31	the	the	DET
ejpam-4849	79	32	test	test	NOUN
ejpam-4849	79	33	text	text	NOUN
ejpam-4849	79	34	,	,	PUNCT
ejpam-4849	79	35	the	the	DET
ejpam-4849	79	36	test	test	NOUN
ejpam-4849	79	37	images	image	NOUN
ejpam-4849	79	38	include	include	VERB
ejpam-4849	79	39	lena	lena	PROPN
ejpam-4849	79	40	,	,	PUNCT
ejpam-4849	79	41	house	house	PROPN
ejpam-4849	79	42	,	,	PUNCT
ejpam-4849	79	43	the	the	DET
ejpam-4849	79	44	cameraman	cameraman	NOUN
ejpam-4849	79	45	,	,	PUNCT
ejpam-4849	79	46	and	and	CCONJ
ejpam-4849	79	47	elaine	elaine	PROPN
ejpam-4849	79	48	.	.	PUNCT
ejpam-4849	80	1	also	also	ADV
ejpam-4849	80	2	featured	feature	VERB
ejpam-4849	80	3	is	be	AUX
ejpam-4849	80	4	the	the	DET
ejpam-4849	80	5	test	test	NOUN
ejpam-4849	80	6	photograph	photograph	NOUN
ejpam-4849	80	7	.	.	PUNCT
ejpam-4849	81	1	in	in	ADP
ejpam-4849	81	2	order	order	NOUN
ejpam-4849	81	3	to	to	PART
ejpam-4849	81	4	provide	provide	VERB
ejpam-4849	81	5	a	a	DET
ejpam-4849	81	6	qualitative	qualitative	ADJ
ejpam-4849	81	7	assessment	assessment	NOUN
ejpam-4849	81	8	of	of	ADP
ejpam-4849	81	9	the	the	DET
ejpam-4849	81	10	performance	performance	NOUN
ejpam-4849	81	11	of	of	ADP
ejpam-4849	81	12	the	the	DET
ejpam-4849	81	13	restoration	restoration	NOUN
ejpam-4849	81	14	,	,	PUNCT
ejpam-4849	81	15	we	we	PRON
ejpam-4849	81	16	use	use	VERB
ejpam-4849	81	17	the	the	DET
ejpam-4849	81	18	psnr	psnr	NOUN
ejpam-4849	81	19	(	(	PUNCT
ejpam-4849	81	20	peak	peak	NOUN
ejpam-4849	81	21	signal	signal	NOUN
ejpam-4849	81	22	to	to	PART
ejpam-4849	81	23	noise	noise	VERB
ejpam-4849	81	24	ratio	ratio	NOUN
ejpam-4849	81	25	)	)	PUNCT
ejpam-4849	81	26	in	in	ADP
ejpam-4849	81	27	a	a	DET
ejpam-4849	81	28	manner	manner	NOUN
ejpam-4849	81	29	that	that	PRON
ejpam-4849	81	30	is	be	AUX
ejpam-4849	81	31	analogous	analogous	ADJ
ejpam-4849	81	32	to	to	ADP
ejpam-4849	81	33	[	[	X
ejpam-4849	81	34	1	1	NUM
ejpam-4849	81	35	]	]	PUNCT
ejpam-4849	81	36	,	,	PUNCT
ejpam-4849	81	37	[	[	X
ejpam-4849	81	38	15	15	NUM
ejpam-4849	81	39	]	]	PUNCT
ejpam-4849	81	40	.	.	PUNCT
ejpam-4849	82	1	the	the	DET
ejpam-4849	82	2	following	follow	VERB
ejpam-4849	82	3	definition	definition	NOUN
ejpam-4849	82	4	applies	apply	VERB
ejpam-4849	82	5	to	to	ADP
ejpam-4849	82	6	the	the	DET
ejpam-4849	82	7	restoration	restoration	NOUN
ejpam-4849	82	8	performance	performance	NOUN
ejpam-4849	82	9	:	:	PUNCT
ejpam-4849	82	10	psnr	psnr	NOUN
ejpam-4849	82	11	=	=	SYM
ejpam-4849	82	12	10log10	10log10	NUM
ejpam-4849	82	13	2552	2552	NUM
ejpam-4849	82	14	1	1	NUM
ejpam-4849	82	15	mn	mn	PROPN
ejpam-4849	82	16	∑	∑	PROPN
ejpam-4849	82	17	i	i	PROPN
ejpam-4849	82	18	,	,	PUNCT
ejpam-4849	82	19	j	j	PROPN
ejpam-4849	82	20	(	(	PUNCT
ejpam-4849	82	21	u	u	NOUN
ejpam-4849	82	22	r	r	VERB
ejpam-4849	82	23	i	i	PROPN
ejpam-4849	82	24	,	,	PUNCT
ejpam-4849	82	25	j	j	PROPN
ejpam-4849	82	26	−	−	PROPN
ejpam-4849	82	27	u∗i	u∗i	NOUN
ejpam-4849	82	28	,	,	PUNCT
ejpam-4849	82	29	j	j	NOUN
ejpam-4849	82	30	)	)	PUNCT
ejpam-4849	82	31	2	2	NUM
ejpam-4849	82	32	(	(	PUNCT
ejpam-4849	82	33	35	35	NUM
ejpam-4849	82	34	)	)	PUNCT
ejpam-4849	82	35	although	although	SCONJ
ejpam-4849	82	36	the	the	DET
ejpam-4849	82	37	pixel	pixel	PROPN
ejpam-4849	82	38	values	value	NOUN
ejpam-4849	82	39	of	of	ADP
ejpam-4849	82	40	the	the	DET
ejpam-4849	82	41	original	original	ADJ
ejpam-4849	82	42	image	image	NOUN
ejpam-4849	82	43	are	be	AUX
ejpam-4849	82	44	represented	represent	VERB
ejpam-4849	82	45	by	by	ADP
ejpam-4849	82	46	uri	uri	PROPN
ejpam-4849	82	47	,	,	PUNCT
ejpam-4849	82	48	j	j	PROPN
ejpam-4849	82	49	,	,	PUNCT
ejpam-4849	82	50	those	those	PRON
ejpam-4849	82	51	of	of	ADP
ejpam-4849	82	52	the	the	DET
ejpam-4849	82	53	image	image	NOUN
ejpam-4849	82	54	that	that	PRON
ejpam-4849	82	55	was	be	AUX
ejpam-4849	82	56	restored	restore	VERB
ejpam-4849	82	57	to	to	ADP
ejpam-4849	82	58	its	its	PRON
ejpam-4849	82	59	original	original	ADJ
ejpam-4849	82	60	condition	condition	NOUN
ejpam-4849	82	61	are	be	AUX
ejpam-4849	82	62	represented	represent	VERB
ejpam-4849	82	63	by	by	ADP
ejpam-4849	82	64	u∗i	u∗i	NOUN
ejpam-4849	82	65	,	,	PUNCT
ejpam-4849	82	66	j	j	PROPN
ejpam-4849	82	67	.	.	PUNCT
ejpam-4849	83	1	in	in	ADP
ejpam-4849	83	2	this	this	DET
ejpam-4849	83	3	research	research	NOUN
ejpam-4849	83	4	,	,	PUNCT
ejpam-4849	83	5	we	we	PRON
ejpam-4849	83	6	show	show	VERB
ejpam-4849	83	7	how	how	SCONJ
ejpam-4849	83	8	many	many	ADJ
ejpam-4849	83	9	function	function	NOUN
ejpam-4849	83	10	evaluations	evaluation	NOUN
ejpam-4849	83	11	and	and	CCONJ
ejpam-4849	83	12	iterations	iteration	NOUN
ejpam-4849	83	13	are	be	AUX
ejpam-4849	83	14	needed	need	VERB
ejpam-4849	83	15	to	to	PART
ejpam-4849	83	16	finish	finish	VERB
ejpam-4849	83	17	the	the	DET
ejpam-4849	83	18	whole	whole	ADJ
ejpam-4849	83	19	denoising	denoising	NOUN
ejpam-4849	83	20	procedure	procedure	NOUN
ejpam-4849	83	21	as	as	ADV
ejpam-4849	83	22	well	well	ADV
ejpam-4849	83	23	as	as	ADP
ejpam-4849	83	24	the	the	DET
ejpam-4849	83	25	image	image	NOUN
ejpam-4849	83	26	’s	’s	PART
ejpam-4849	83	27	psnr	psnr	NOUN
ejpam-4849	83	28	results	result	NOUN
ejpam-4849	83	29	from	from	ADP
ejpam-4849	83	30	this	this	DET
ejpam-4849	83	31	method	method	NOUN
ejpam-4849	83	32	.	.	PUNCT
ejpam-4849	84	1	the	the	DET
ejpam-4849	84	2	new	new	ADJ
ejpam-4849	84	3	approach	approach	NOUN
ejpam-4849	84	4	outperforms	outperform	VERB
ejpam-4849	84	5	the	the	DET
ejpam-4849	84	6	fr	fr	PROPN
ejpam-4849	84	7	methodology	methodology	NOUN
ejpam-4849	84	8	,	,	PUNCT
ejpam-4849	84	9	which	which	PRON
ejpam-4849	84	10	takes	take	VERB
ejpam-4849	84	11	a	a	DET
ejpam-4849	84	12	very	very	ADV
ejpam-4849	84	13	long	long	ADJ
ejpam-4849	84	14	time	time	NOUN
ejpam-4849	84	15	to	to	PART
ejpam-4849	84	16	finish	finish	VERB
ejpam-4849	84	17	,	,	PUNCT
ejpam-4849	84	18	in	in	ADP
ejpam-4849	84	19	terms	term	NOUN
ejpam-4849	84	20	of	of	ADP
ejpam-4849	84	21	speed	speed	NOUN
ejpam-4849	84	22	.	.	PUNCT
ejpam-4849	85	1	table	table	NOUN
ejpam-4849	85	2	(	(	PUNCT
ejpam-4849	85	3	1	1	X
ejpam-4849	85	4	)	)	PUNCT
ejpam-4849	85	5	may	may	AUX
ejpam-4849	85	6	be	be	AUX
ejpam-4849	85	7	accessed	access	VERB
ejpam-4849	85	8	here	here	ADV
ejpam-4849	85	9	,	,	PUNCT
ejpam-4849	85	10	and	and	CCONJ
ejpam-4849	85	11	it	it	PRON
ejpam-4849	85	12	contains	contain	VERB
ejpam-4849	85	13	the	the	DET
ejpam-4849	85	14	supporting	support	VERB
ejpam-4849	85	15	data	datum	NOUN
ejpam-4849	85	16	.	.	PUNCT
ejpam-4849	86	1	the	the	DET
ejpam-4849	86	2	psnr	psnr	NOUN
ejpam-4849	86	3	values	value	NOUN
ejpam-4849	86	4	produced	produce	VERB
ejpam-4849	86	5	with	with	ADP
ejpam-4849	86	6	the	the	DET
ejpam-4849	86	7	new	new	ADJ
ejpam-4849	86	8	technique	technique	NOUN
ejpam-4849	86	9	and	and	CCONJ
ejpam-4849	86	10	those	those	PRON
ejpam-4849	86	11	acquired	acquire	VERB
ejpam-4849	86	12	with	with	ADP
ejpam-4849	86	13	the	the	DET
ejpam-4849	86	14	fr	fr	ADJ
ejpam-4849	86	15	method	method	NOUN
ejpam-4849	86	16	are	be	AUX
ejpam-4849	86	17	quite	quite	ADV
ejpam-4849	86	18	comparable	comparable	ADJ
ejpam-4849	86	19	to	to	ADP
ejpam-4849	86	20	one	one	NUM
ejpam-4849	86	21	another	another	DET
ejpam-4849	86	22	.	.	PUNCT
ejpam-4849	87	1	table	table	NOUN
ejpam-4849	87	2	1	1	NUM
ejpam-4849	87	3	:	:	PUNCT
ejpam-4849	87	4	numerical	numerical	ADJ
ejpam-4849	87	5	results	result	NOUN
ejpam-4849	87	6	of	of	ADP
ejpam-4849	87	7	fr	fr	NOUN
ejpam-4849	87	8	,	,	PUNCT
ejpam-4849	87	9	new	new	ADJ
ejpam-4849	87	10	algorithms	algorithm	NOUN
ejpam-4849	87	11	.	.	PUNCT
ejpam-4849	88	1	1630	1630	NUM
ejpam-4849	88	2	figure	figure	NOUN
ejpam-4849	88	3	1	1	NUM
ejpam-4849	88	4	:	:	PUNCT
ejpam-4849	88	5	lena	lena	PROPN
ejpam-4849	88	6	image	image	NOUN
ejpam-4849	88	7	.	.	PUNCT
ejpam-4849	89	1	figure	figure	NOUN
ejpam-4849	89	2	2	2	NUM
ejpam-4849	89	3	:	:	PUNCT
ejpam-4849	89	4	house	house	NOUN
ejpam-4849	89	5	image	image	NOUN
ejpam-4849	89	6	.	.	PUNCT
ejpam-4849	90	1	1631	1631	NUM
ejpam-4849	90	2	figure	figure	VERB
ejpam-4849	90	3	3	3	NUM
ejpam-4849	90	4	:	:	PUNCT
ejpam-4849	90	5	elaine	elaine	PROPN
ejpam-4849	90	6	image	image	PROPN
ejpam-4849	90	7	.	.	PUNCT
ejpam-4849	91	1	figure	figure	VERB
ejpam-4849	91	2	4	4	NUM
ejpam-4849	91	3	:	:	PUNCT
ejpam-4849	91	4	cameraman	cameraman	ADJ
ejpam-4849	91	5	image	image	NOUN
ejpam-4849	91	6	.	.	PUNCT
ejpam-4849	92	1	1632	1632	NUM
ejpam-4849	92	2	5	5	NUM
ejpam-4849	92	3	.	.	PUNCT
ejpam-4849	93	1	conclusions	conclusion	NOUN
ejpam-4849	93	2	we	we	PRON
ejpam-4849	93	3	also	also	ADV
ejpam-4849	93	4	discussed	discuss	VERB
ejpam-4849	93	5	the	the	DET
ejpam-4849	93	6	conjugate	conjugate	ADJ
ejpam-4849	93	7	gradient	gradient	NOUN
ejpam-4849	93	8	approach	approach	NOUN
ejpam-4849	93	9	new	new	ADJ
ejpam-4849	93	10	,	,	PUNCT
ejpam-4849	93	11	in	in	ADP
ejpam-4849	93	12	addition	addition	NOUN
ejpam-4849	93	13	to	to	ADP
ejpam-4849	93	14	a	a	DET
ejpam-4849	93	15	newly	newly	ADV
ejpam-4849	93	16	discovered	discover	VERB
ejpam-4849	93	17	formula	formula	NOUN
ejpam-4849	93	18	for	for	ADP
ejpam-4849	93	19	a	a	DET
ejpam-4849	93	20	conjugate	conjugate	ADJ
ejpam-4849	93	21	gradient	gradient	NOUN
ejpam-4849	93	22	.	.	PUNCT
ejpam-4849	94	1	we	we	PRON
ejpam-4849	94	2	were	be	AUX
ejpam-4849	94	3	able	able	ADJ
ejpam-4849	94	4	to	to	PART
ejpam-4849	94	5	find	find	VERB
ejpam-4849	94	6	the	the	DET
ejpam-4849	94	7	wolfe	wolfe	PROPN
ejpam-4849	94	8	line	line	PROPN
ejpam-4849	94	9	’s	’s	PART
ejpam-4849	94	10	global	global	ADJ
ejpam-4849	94	11	convergence	convergence	NOUN
ejpam-4849	94	12	using	use	VERB
ejpam-4849	94	13	search	search	NOUN
ejpam-4849	94	14	criteria	criterion	NOUN
ejpam-4849	94	15	.	.	PUNCT
ejpam-4849	95	1	it	it	PRON
ejpam-4849	95	2	has	have	AUX
ejpam-4849	95	3	been	be	AUX
ejpam-4849	95	4	shown	show	VERB
ejpam-4849	95	5	that	that	SCONJ
ejpam-4849	95	6	new	new	ADJ
ejpam-4849	95	7	may	may	AUX
ejpam-4849	95	8	significantly	significantly	ADV
ejpam-4849	95	9	reduce	reduce	VERB
ejpam-4849	95	10	the	the	DET
ejpam-4849	95	11	quantity	quantity	NOUN
ejpam-4849	95	12	of	of	ADP
ejpam-4849	95	13	simulation	simulation	NOUN
ejpam-4849	95	14	evaluations	evaluation	NOUN
ejpam-4849	95	15	of	of	ADP
ejpam-4849	95	16	functions	function	NOUN
ejpam-4849	95	17	and	and	CCONJ
ejpam-4849	95	18	iterations	iteration	NOUN
ejpam-4849	95	19	while	while	SCONJ
ejpam-4849	95	20	keeping	keep	VERB
ejpam-4849	95	21	the	the	DET
ejpam-4849	95	22	visual	visual	ADJ
ejpam-4849	95	23	quality	quality	NOUN
ejpam-4849	95	24	constant	constant	ADJ
ejpam-4849	95	25	.	.	PUNCT
ejpam-4849	96	1	references	reference	NOUN
ejpam-4849	96	2	[	[	X
ejpam-4849	96	3	1	1	NUM
ejpam-4849	96	4	]	]	X
ejpam-4849	96	5	jian	jian	PROPN
ejpam-4849	96	6	-	-	PUNCT
ejpam-4849	96	7	feng	feng	PROPN
ejpam-4849	96	8	cai	cai	PROPN
ejpam-4849	96	9	,	,	PUNCT
ejpam-4849	96	10	raymond	raymond	PROPN
ejpam-4849	96	11	chan	chan	PROPN
ejpam-4849	96	12	,	,	PUNCT
ejpam-4849	96	13	and	and	CCONJ
ejpam-4849	96	14	benedetta	benedetta	PROPN
ejpam-4849	96	15	morini	morini	PROPN
ejpam-4849	96	16	.	.	PROPN
ejpam-4849	96	17	minimization	minimization	NOUN
ejpam-4849	96	18	of	of	ADP
ejpam-4849	96	19	an	an	DET
ejpam-4849	96	20	edgepreserving	edgepreserving	ADJ
ejpam-4849	96	21	regularization	regularization	NOUN
ejpam-4849	96	22	functional	functional	ADJ
ejpam-4849	96	23	by	by	ADP
ejpam-4849	96	24	conjugate	conjugate	ADJ
ejpam-4849	96	25	gradient	gradient	ADJ
ejpam-4849	96	26	type	type	NOUN
ejpam-4849	96	27	methods	method	NOUN
ejpam-4849	96	28	.	.	PUNCT
ejpam-4849	97	1	in	in	ADP
ejpam-4849	97	2	image	image	NOUN
ejpam-4849	97	3	processing	processing	NOUN
ejpam-4849	97	4	based	base	VERB
ejpam-4849	97	5	on	on	ADP
ejpam-4849	97	6	partial	partial	ADJ
ejpam-4849	97	7	differential	differential	ADJ
ejpam-4849	97	8	equations	equation	NOUN
ejpam-4849	97	9	:	:	PUNCT
ejpam-4849	97	10	proceedings	proceeding	NOUN
ejpam-4849	97	11	of	of	ADP
ejpam-4849	97	12	the	the	DET
ejpam-4849	97	13	international	international	ADJ
ejpam-4849	97	14	conference	conference	NOUN
ejpam-4849	97	15	on	on	ADP
ejpam-4849	97	16	pde	pde	NOUN
ejpam-4849	97	17	-	-	PUNCT
ejpam-4849	97	18	based	base	VERB
ejpam-4849	97	19	image	image	NOUN
ejpam-4849	97	20	processing	processing	NOUN
ejpam-4849	97	21	and	and	CCONJ
ejpam-4849	97	22	related	related	ADJ
ejpam-4849	97	23	inverse	inverse	NOUN
ejpam-4849	97	24	problems	problem	NOUN
ejpam-4849	97	25	,	,	PUNCT
ejpam-4849	97	26	cma	cma	PROPN
ejpam-4849	97	27	,	,	PUNCT
ejpam-4849	97	28	oslo	oslo	PROPN
ejpam-4849	97	29	,	,	PUNCT
ejpam-4849	97	30	august	august	PROPN
ejpam-4849	97	31	8–12	8–12	PROPN
ejpam-4849	97	32	,	,	PUNCT
ejpam-4849	97	33	2005	2005	NUM
ejpam-4849	97	34	,	,	PUNCT
ejpam-4849	97	35	pages	page	NOUN
ejpam-4849	97	36	109–122	109–122	NUM
ejpam-4849	97	37	.	.	PUNCT
ejpam-4849	97	38	springer	springer	NOUN
ejpam-4849	97	39	,	,	PUNCT
ejpam-4849	97	40	2007	2007	NUM
ejpam-4849	97	41	.	.	PUNCT
ejpam-4849	98	1	[	[	X
ejpam-4849	98	2	2	2	NUM
ejpam-4849	98	3	]	]	PUNCT
ejpam-4849	98	4	yu	yu	PROPN
ejpam-4849	98	5	-	-	PROPN
ejpam-4849	98	6	hong	hong	PROPN
ejpam-4849	98	7	dai	dai	PROPN
ejpam-4849	98	8	and	and	CCONJ
ejpam-4849	98	9	yaxiang	yaxiang	PROPN
ejpam-4849	98	10	yuan	yuan	PROPN
ejpam-4849	98	11	.	.	PUNCT
ejpam-4849	99	1	a	a	DET
ejpam-4849	99	2	nonlinear	nonlinear	ADJ
ejpam-4849	99	3	conjugate	conjugate	ADJ
ejpam-4849	99	4	gradient	gradient	NOUN
ejpam-4849	99	5	method	method	NOUN
ejpam-4849	99	6	with	with	ADP
ejpam-4849	99	7	a	a	DET
ejpam-4849	99	8	strong	strong	ADJ
ejpam-4849	99	9	global	global	ADJ
ejpam-4849	99	10	convergence	convergence	NOUN
ejpam-4849	99	11	property	property	NOUN
ejpam-4849	99	12	.	.	PUNCT
ejpam-4849	100	1	siam	siam	PROPN
ejpam-4849	100	2	journal	journal	PROPN
ejpam-4849	100	3	on	on	ADP
ejpam-4849	100	4	optimization	optimization	NOUN
ejpam-4849	100	5	,	,	PUNCT
ejpam-4849	100	6	10(1):177–182	10(1):177–182	NUM
ejpam-4849	100	7	,	,	PUNCT
ejpam-4849	100	8	1999	1999	NUM
ejpam-4849	100	9	.	.	PUNCT
ejpam-4849	101	1	[	[	X
ejpam-4849	101	2	3	3	NUM
ejpam-4849	101	3	]	]	X
ejpam-4849	101	4	yuhong	yuhong	PROPN
ejpam-4849	101	5	dai	dai	PROPN
ejpam-4849	101	6	,	,	PUNCT
ejpam-4849	101	7	jiye	jiye	PROPN
ejpam-4849	101	8	han	han	PROPN
ejpam-4849	101	9	,	,	PUNCT
ejpam-4849	101	10	guanghui	guanghui	PROPN
ejpam-4849	101	11	liu	liu	PROPN
ejpam-4849	101	12	,	,	PUNCT
ejpam-4849	101	13	defeng	defeng	PROPN
ejpam-4849	101	14	sun	sun	PROPN
ejpam-4849	101	15	,	,	PUNCT
ejpam-4849	101	16	hongxia	hongxia	PROPN
ejpam-4849	101	17	yin	yin	PROPN
ejpam-4849	101	18	,	,	PUNCT
ejpam-4849	101	19	and	and	CCONJ
ejpam-4849	101	20	ya	ya	PROPN
ejpam-4849	101	21	-	-	PUNCT
ejpam-4849	101	22	xiang	xiang	PROPN
ejpam-4849	101	23	yuan	yuan	PROPN
ejpam-4849	101	24	.	.	PUNCT
ejpam-4849	102	1	convergence	convergence	NOUN
ejpam-4849	102	2	properties	property	NOUN
ejpam-4849	102	3	of	of	ADP
ejpam-4849	102	4	nonlinear	nonlinear	ADJ
ejpam-4849	102	5	conjugate	conjugate	ADJ
ejpam-4849	102	6	gradient	gradient	ADJ
ejpam-4849	102	7	methods	method	NOUN
ejpam-4849	102	8	.	.	PUNCT
ejpam-4849	103	1	siam	siam	PROPN
ejpam-4849	103	2	journal	journal	PROPN
ejpam-4849	103	3	on	on	ADP
ejpam-4849	103	4	optimization	optimization	NOUN
ejpam-4849	103	5	,	,	PUNCT
ejpam-4849	103	6	10(2):345–358	10(2):345–358	PROPN
ejpam-4849	103	7	,	,	PUNCT
ejpam-4849	103	8	2000	2000	NUM
ejpam-4849	103	9	.	.	PUNCT
ejpam-4849	104	1	[	[	X
ejpam-4849	104	2	4	4	X
ejpam-4849	104	3	]	]	X
ejpam-4849	104	4	reeves	reeves	PROPN
ejpam-4849	104	5	fletcher	fletcher	PROPN
ejpam-4849	104	6	and	and	CCONJ
ejpam-4849	104	7	colin	colin	PROPN
ejpam-4849	104	8	m	m	PROPN
ejpam-4849	104	9	reeves	reeves	PROPN
ejpam-4849	104	10	.	.	PUNCT
ejpam-4849	105	1	function	function	NOUN
ejpam-4849	105	2	minimization	minimization	NOUN
ejpam-4849	105	3	by	by	ADP
ejpam-4849	105	4	conjugate	conjugate	ADJ
ejpam-4849	105	5	gradients	gradient	NOUN
ejpam-4849	105	6	.	.	PUNCT
ejpam-4849	106	1	the	the	DET
ejpam-4849	106	2	computer	computer	NOUN
ejpam-4849	106	3	journal	journal	NOUN
ejpam-4849	106	4	,	,	PUNCT
ejpam-4849	106	5	7(2):149–154	7(2):149–154	NUM
ejpam-4849	106	6	,	,	PUNCT
ejpam-4849	106	7	1964	1964	NUM
ejpam-4849	106	8	.	.	PUNCT
ejpam-4849	107	1	[	[	X
ejpam-4849	107	2	5	5	X
ejpam-4849	107	3	]	]	PUNCT
ejpam-4849	107	4	william	william	PROPN
ejpam-4849	107	5	w	w	PROPN
ejpam-4849	107	6	hager	hager	PROPN
ejpam-4849	107	7	and	and	CCONJ
ejpam-4849	107	8	hongchao	hongchao	PROPN
ejpam-4849	107	9	zhang	zhang	PROPN
ejpam-4849	107	10	.	.	PUNCT
ejpam-4849	108	1	a	a	DET
ejpam-4849	108	2	new	new	ADJ
ejpam-4849	108	3	conjugate	conjugate	ADJ
ejpam-4849	108	4	gradient	gradient	NOUN
ejpam-4849	108	5	method	method	NOUN
ejpam-4849	108	6	with	with	ADP
ejpam-4849	108	7	guaranteed	guarantee	VERB
ejpam-4849	108	8	descent	descent	NOUN
ejpam-4849	108	9	and	and	CCONJ
ejpam-4849	108	10	an	an	DET
ejpam-4849	108	11	efficient	efficient	ADJ
ejpam-4849	108	12	line	line	NOUN
ejpam-4849	108	13	search	search	NOUN
ejpam-4849	108	14	.	.	PUNCT
ejpam-4849	109	1	siam	siam	PROPN
ejpam-4849	109	2	journal	journal	PROPN
ejpam-4849	109	3	on	on	ADP
ejpam-4849	109	4	optimization	optimization	NOUN
ejpam-4849	109	5	,	,	PUNCT
ejpam-4849	109	6	16(1):170	16(1):170	NUM
ejpam-4849	109	7	–	–	PUNCT
ejpam-4849	109	8	192	192	NUM
ejpam-4849	109	9	,	,	PUNCT
ejpam-4849	109	10	2005	2005	NUM
ejpam-4849	109	11	.	.	PUNCT
ejpam-4849	110	1	[	[	X
ejpam-4849	110	2	6	6	NUM
ejpam-4849	110	3	]	]	PUNCT
ejpam-4849	110	4	basim	basim	NOUN
ejpam-4849	110	5	a	a	DET
ejpam-4849	110	6	hassan	hassan	PROPN
ejpam-4849	110	7	.	.	PUNCT
ejpam-4849	111	1	a	a	DET
ejpam-4849	111	2	new	new	ADJ
ejpam-4849	111	3	formula	formula	NOUN
ejpam-4849	111	4	for	for	ADP
ejpam-4849	111	5	conjugate	conjugate	ADJ
ejpam-4849	111	6	parameter	parameter	NOUN
ejpam-4849	111	7	computation	computation	NOUN
ejpam-4849	111	8	based	base	VERB
ejpam-4849	111	9	on	on	ADP
ejpam-4849	111	10	the	the	DET
ejpam-4849	111	11	quadratic	quadratic	ADJ
ejpam-4849	111	12	model	model	NOUN
ejpam-4849	111	13	.	.	PUNCT
ejpam-4849	112	1	indonesian	indonesian	ADJ
ejpam-4849	112	2	journal	journal	PROPN
ejpam-4849	112	3	of	of	ADP
ejpam-4849	112	4	electrical	electrical	ADJ
ejpam-4849	112	5	engineering	engineering	NOUN
ejpam-4849	112	6	and	and	CCONJ
ejpam-4849	112	7	computer	computer	NOUN
ejpam-4849	112	8	science	science	NOUN
ejpam-4849	112	9	,	,	PUNCT
ejpam-4849	112	10	3(3):954–961	3(3):954–961	PROPN
ejpam-4849	112	11	,	,	PUNCT
ejpam-4849	112	12	2019	2019	NUM
ejpam-4849	112	13	.	.	PUNCT
ejpam-4849	113	1	[	[	X
ejpam-4849	113	2	7	7	X
ejpam-4849	113	3	]	]	X
ejpam-4849	113	4	basim	basim	NOUN
ejpam-4849	113	5	a	a	DET
ejpam-4849	113	6	hassan	hassan	PROPN
ejpam-4849	113	7	and	and	CCONJ
ejpam-4849	113	8	ali	ali	PROPN
ejpam-4849	113	9	ahmed	ahmed	PROPN
ejpam-4849	113	10	a.	a.	PROPN
ejpam-4849	113	11	improvement	improvement	NOUN
ejpam-4849	113	12	of	of	ADP
ejpam-4849	113	13	conjugate	conjugate	ADJ
ejpam-4849	113	14	gradient	gradient	ADJ
ejpam-4849	113	15	methods	method	NOUN
ejpam-4849	113	16	for	for	ADP
ejpam-4849	113	17	removing	remove	VERB
ejpam-4849	113	18	impulse	impulse	ADJ
ejpam-4849	113	19	noise	noise	NOUN
ejpam-4849	113	20	images	image	NOUN
ejpam-4849	113	21	.	.	PUNCT
ejpam-4849	114	1	indonesian	indonesian	ADJ
ejpam-4849	114	2	journal	journal	PROPN
ejpam-4849	114	3	of	of	ADP
ejpam-4849	114	4	electrical	electrical	ADJ
ejpam-4849	114	5	engineering	engineering	NOUN
ejpam-4849	114	6	and	and	CCONJ
ejpam-4849	114	7	computer	computer	NOUN
ejpam-4849	114	8	science	science	NOUN
ejpam-4849	114	9	,	,	PUNCT
ejpam-4849	114	10	29(1):245–251	29(1):245–251	PROPN
ejpam-4849	114	11	,	,	PUNCT
ejpam-4849	114	12	2023	2023	NUM
ejpam-4849	114	13	.	.	PUNCT
ejpam-4849	115	1	[	[	X
ejpam-4849	115	2	8	8	NUM
ejpam-4849	115	3	]	]	X
ejpam-4849	115	4	basim	basim	NOUN
ejpam-4849	115	5	a	a	DET
ejpam-4849	115	6	hassan	hassan	PROPN
ejpam-4849	115	7	and	and	CCONJ
ejpam-4849	115	8	haneen	haneen	NOUN
ejpam-4849	115	9	alashoor	alashoor	PROPN
ejpam-4849	115	10	.	.	PUNCT
ejpam-4849	116	1	a	a	DET
ejpam-4849	116	2	new	new	ADJ
ejpam-4849	116	3	type	type	NOUN
ejpam-4849	116	4	coefficient	coefficient	NOUN
ejpam-4849	116	5	conjugate	conjugate	ADJ
ejpam-4849	116	6	on	on	ADP
ejpam-4849	116	7	the	the	DET
ejpam-4849	116	8	gradient	gradient	ADJ
ejpam-4849	116	9	methods	method	NOUN
ejpam-4849	116	10	for	for	ADP
ejpam-4849	116	11	impulse	impulse	ADJ
ejpam-4849	116	12	noise	noise	NOUN
ejpam-4849	116	13	removal	removal	NOUN
ejpam-4849	116	14	in	in	ADP
ejpam-4849	116	15	images	image	NOUN
ejpam-4849	116	16	.	.	PUNCT
ejpam-4849	117	1	european	european	ADJ
ejpam-4849	117	2	journal	journal	PROPN
ejpam-4849	117	3	of	of	ADP
ejpam-4849	117	4	pure	pure	ADJ
ejpam-4849	117	5	and	and	CCONJ
ejpam-4849	117	6	applied	applied	ADJ
ejpam-4849	117	7	mathematics	mathematic	NOUN
ejpam-4849	117	8	,	,	PUNCT
ejpam-4849	117	9	15(4):2043–2053	15(4):2043–2053	NUM
ejpam-4849	117	10	,	,	PUNCT
ejpam-4849	117	11	2022	2022	NUM
ejpam-4849	117	12	.	.	PUNCT
ejpam-4849	118	1	[	[	X
ejpam-4849	118	2	9	9	NUM
ejpam-4849	118	3	]	]	PUNCT
ejpam-4849	118	4	basim	basim	NOUN
ejpam-4849	118	5	a	a	DET
ejpam-4849	118	6	hassan	hassan	PROPN
ejpam-4849	118	7	and	and	CCONJ
ejpam-4849	118	8	maysoon	maysoon	PROPN
ejpam-4849	118	9	aziz	aziz	PROPN
ejpam-4849	118	10	.	.	PUNCT
ejpam-4849	119	1	computational	computational	ADJ
ejpam-4849	119	2	experience	experience	NOUN
ejpam-4849	119	3	with	with	ADP
ejpam-4849	119	4	modified	modified	ADJ
ejpam-4849	119	5	coefficients	coefficient	NOUN
ejpam-4849	119	6	conjugate	conjugate	ADJ
ejpam-4849	119	7	gradient	gradient	NOUN
ejpam-4849	119	8	for	for	ADP
ejpam-4849	119	9	image	image	NOUN
ejpam-4849	119	10	restoration	restoration	NOUN
ejpam-4849	119	11	.	.	PUNCT
ejpam-4849	120	1	european	european	ADJ
ejpam-4849	120	2	journal	journal	PROPN
ejpam-4849	120	3	of	of	ADP
ejpam-4849	120	4	pure	pure	ADJ
ejpam-4849	120	5	and	and	CCONJ
ejpam-4849	120	6	applied	applied	ADJ
ejpam-4849	120	7	mathematics	mathematic	NOUN
ejpam-4849	120	8	,	,	PUNCT
ejpam-4849	120	9	16(2):975–982	16(2):975–982	PROPN
ejpam-4849	120	10	,	,	PUNCT
ejpam-4849	120	11	2023	2023	NUM
ejpam-4849	120	12	.	.	PUNCT
ejpam-4849	121	1	references	reference	NOUN
ejpam-4849	121	2	1633	1633	NUM
ejpam-4849	121	3	[	[	X
ejpam-4849	121	4	10	10	NUM
ejpam-4849	121	5	]	]	X
ejpam-4849	121	6	basim	basim	NOUN
ejpam-4849	121	7	a	a	DET
ejpam-4849	121	8	hassan	hassan	PROPN
ejpam-4849	121	9	and	and	CCONJ
ejpam-4849	121	10	hameed	hameed	PROPN
ejpam-4849	121	11	sadiq	sadiq	PROPN
ejpam-4849	121	12	.	.	PUNCT
ejpam-4849	122	1	efficient	efficient	ADJ
ejpam-4849	122	2	new	new	ADJ
ejpam-4849	122	3	conjugate	conjugate	ADJ
ejpam-4849	122	4	gradient	gradient	NOUN
ejpam-4849	122	5	methods	method	NOUN
ejpam-4849	122	6	for	for	ADP
ejpam-4849	122	7	removing	remove	VERB
ejpam-4849	122	8	impulse	impulse	ADJ
ejpam-4849	122	9	noise	noise	NOUN
ejpam-4849	122	10	images	image	NOUN
ejpam-4849	122	11	.	.	PUNCT
ejpam-4849	123	1	european	european	ADJ
ejpam-4849	123	2	journal	journal	PROPN
ejpam-4849	123	3	of	of	ADP
ejpam-4849	123	4	pure	pure	ADJ
ejpam-4849	123	5	and	and	CCONJ
ejpam-4849	123	6	applied	applied	ADJ
ejpam-4849	123	7	mathematics	mathematic	NOUN
ejpam-4849	123	8	,	,	PUNCT
ejpam-4849	123	9	15(4):2011–2021	15(4):2011–2021	NUM
ejpam-4849	123	10	,	,	PUNCT
ejpam-4849	123	11	2022	2022	NUM
ejpam-4849	123	12	.	.	PUNCT
ejpam-4849	124	1	[	[	X
ejpam-4849	124	2	11	11	NUM
ejpam-4849	124	3	]	]	X
ejpam-4849	124	4	xian	xian	PROPN
ejpam-4849	124	5	-	-	PUNCT
ejpam-4849	124	6	zhen	zhen	PROPN
ejpam-4849	124	7	jiang	jiang	PROPN
ejpam-4849	124	8	and	and	CCONJ
ejpam-4849	124	9	jin	jin	PROPN
ejpam-4849	124	10	-	-	PUNCT
ejpam-4849	124	11	bao	bao	PROPN
ejpam-4849	124	12	jian	jian	PROPN
ejpam-4849	124	13	.	.	PUNCT
ejpam-4849	125	1	a	a	DET
ejpam-4849	125	2	sufficient	sufficient	ADJ
ejpam-4849	125	3	descent	descent	NOUN
ejpam-4849	125	4	dai	dai	PROPN
ejpam-4849	125	5	–	–	PROPN
ejpam-4849	125	6	yuan	yuan	NOUN
ejpam-4849	125	7	type	type	NOUN
ejpam-4849	125	8	nonlinear	nonlinear	ADJ
ejpam-4849	125	9	conjugate	conjugate	ADJ
ejpam-4849	125	10	gradient	gradient	NOUN
ejpam-4849	125	11	method	method	NOUN
ejpam-4849	125	12	for	for	ADP
ejpam-4849	125	13	unconstrained	unconstrained	ADJ
ejpam-4849	125	14	optimization	optimization	NOUN
ejpam-4849	125	15	problems	problem	NOUN
ejpam-4849	125	16	.	.	PUNCT
ejpam-4849	126	1	nonlinear	nonlinear	ADJ
ejpam-4849	126	2	dynamics	dynamic	NOUN
ejpam-4849	126	3	,	,	PUNCT
ejpam-4849	126	4	72:101–112	72:101–112	PROPN
ejpam-4849	126	5	,	,	PUNCT
ejpam-4849	126	6	2013	2013	NUM
ejpam-4849	126	7	.	.	PUNCT
ejpam-4849	127	1	[	[	X
ejpam-4849	127	2	12	12	NUM
ejpam-4849	127	3	]	]	PUNCT
ejpam-4849	127	4	elijah	elijah	PROPN
ejpam-4849	127	5	polak	polak	PROPN
ejpam-4849	127	6	and	and	CCONJ
ejpam-4849	127	7	gerard	gerard	PROPN
ejpam-4849	127	8	ribiere	ribiere	PROPN
ejpam-4849	127	9	.	.	PUNCT
ejpam-4849	128	1	note	note	VERB
ejpam-4849	128	2	sur	sur	PROPN
ejpam-4849	128	3	la	la	X
ejpam-4849	128	4	convergence	convergence	NOUN
ejpam-4849	128	5	de	de	X
ejpam-4849	128	6	méthodes	méthodes	X
ejpam-4849	128	7	de	de	PROPN
ejpam-4849	128	8	directions	direction	NOUN
ejpam-4849	128	9	conjuguées	conjuguées	PROPN
ejpam-4849	128	10	.	.	PUNCT
ejpam-4849	129	1	revue	revue	PROPN
ejpam-4849	129	2	française	française	PROPN
ejpam-4849	129	3	d’informatique	d’informatique	NOUN
ejpam-4849	129	4	et	et	X
ejpam-4849	129	5	de	de	X
ejpam-4849	129	6	recherche	recherche	X
ejpam-4849	129	7	opérationnelle	opérationnelle	PROPN
ejpam-4849	129	8	.	.	PUNCT
ejpam-4849	130	1	série	série	PROPN
ejpam-4849	130	2	rouge	rouge	PROPN
ejpam-4849	130	3	,	,	PUNCT
ejpam-4849	130	4	3(16):35–43	3(16):35–43	NUM
ejpam-4849	130	5	,	,	PUNCT
ejpam-4849	130	6	1969	1969	NUM
ejpam-4849	130	7	.	.	PUNCT
ejpam-4849	131	1	[	[	X
ejpam-4849	131	2	13	13	NUM
ejpam-4849	131	3	]	]	PUNCT
ejpam-4849	131	4	jorge	jorge	PROPN
ejpam-4849	131	5	nocedal	nocedal	PROPN
ejpam-4849	131	6	stephen	stephen	PROPN
ejpam-4849	131	7	j	j	PROPN
ejpam-4849	131	8	wright	wright	PROPN
ejpam-4849	131	9	.	.	PUNCT
ejpam-4849	131	10	numerical	numerical	PROPN
ejpam-4849	131	11	optimization	optimization	PROPN
ejpam-4849	131	12	,	,	PUNCT
ejpam-4849	131	13	2006	2006	NUM
ejpam-4849	131	14	.	.	PUNCT
ejpam-4849	132	1	[	[	X
ejpam-4849	132	2	14	14	NUM
ejpam-4849	132	3	]	]	PUNCT
ejpam-4849	132	4	caiying	caiye	VERB
ejpam-4849	132	5	wu	wu	PROPN
ejpam-4849	132	6	and	and	CCONJ
ejpam-4849	132	7	guoqing	guoqe	VERB
ejpam-4849	132	8	chen	chen	PROPN
ejpam-4849	132	9	.	.	PUNCT
ejpam-4849	133	1	new	new	ADJ
ejpam-4849	133	2	type	type	NOUN
ejpam-4849	133	3	of	of	ADP
ejpam-4849	133	4	conjugate	conjugate	ADJ
ejpam-4849	133	5	gradient	gradient	ADJ
ejpam-4849	133	6	algorithms	algorithm	NOUN
ejpam-4849	133	7	for	for	ADP
ejpam-4849	133	8	unconstrained	unconstrained	ADJ
ejpam-4849	133	9	optimization	optimization	NOUN
ejpam-4849	133	10	problems	problem	NOUN
ejpam-4849	133	11	.	.	PUNCT
ejpam-4849	134	1	journal	journal	PROPN
ejpam-4849	134	2	of	of	ADP
ejpam-4849	134	3	systems	system	NOUN
ejpam-4849	134	4	engineering	engineering	NOUN
ejpam-4849	134	5	and	and	CCONJ
ejpam-4849	134	6	electronics	electronic	NOUN
ejpam-4849	134	7	,	,	PUNCT
ejpam-4849	134	8	21(6):1000–1007	21(6):1000–1007	NUM
ejpam-4849	134	9	,	,	PUNCT
ejpam-4849	134	10	2010	2010	NUM
ejpam-4849	134	11	.	.	PUNCT
ejpam-4849	135	1	[	[	X
ejpam-4849	135	2	15	15	NUM
ejpam-4849	135	3	]	]	X
ejpam-4849	135	4	gaohang	gaohang	PROPN
ejpam-4849	135	5	yu	yu	PROPN
ejpam-4849	135	6	,	,	PUNCT
ejpam-4849	135	7	jinhong	jinhong	PROPN
ejpam-4849	135	8	huang	huang	PROPN
ejpam-4849	135	9	,	,	PUNCT
ejpam-4849	135	10	and	and	CCONJ
ejpam-4849	135	11	yi	yi	PROPN
ejpam-4849	135	12	zhou	zhou	PROPN
ejpam-4849	135	13	.	.	PUNCT
ejpam-4849	136	1	a	a	DET
ejpam-4849	136	2	descent	descent	NOUN
ejpam-4849	136	3	spectral	spectral	ADJ
ejpam-4849	136	4	conjugate	conjugate	ADJ
ejpam-4849	136	5	gradient	gradient	NOUN
ejpam-4849	136	6	method	method	NOUN
ejpam-4849	136	7	for	for	ADP
ejpam-4849	136	8	impulse	impulse	ADJ
ejpam-4849	136	9	noise	noise	NOUN
ejpam-4849	136	10	removal	removal	NOUN
ejpam-4849	136	11	.	.	PUNCT
ejpam-4849	137	1	applied	apply	VERB
ejpam-4849	137	2	mathematics	mathematics	NOUN
ejpam-4849	137	3	letters	letter	NOUN
ejpam-4849	137	4	,	,	PUNCT
ejpam-4849	137	5	23(5):555–560	23(5):555–560	PROPN
ejpam-4849	137	6	,	,	PUNCT
ejpam-4849	137	7	2010	2010	NUM
ejpam-4849	137	8	.	.	PUNCT
ejpam-4849	138	1	[	[	X
ejpam-4849	138	2	16	16	NUM
ejpam-4849	138	3	]	]	X
ejpam-4849	138	4	g	g	PROPN
ejpam-4849	138	5	zoutendijk	zoutendijk	PROPN
ejpam-4849	138	6	.	.	PUNCT
ejpam-4849	139	1	nonlinear	nonlinear	ADJ
ejpam-4849	139	2	programming	programming	NOUN
ejpam-4849	139	3	,	,	PUNCT
ejpam-4849	139	4	computational	computational	ADJ
ejpam-4849	139	5	methods	method	NOUN
ejpam-4849	139	6	.	.	PUNCT
ejpam-4849	140	1	integer	integer	NOUN
ejpam-4849	140	2	and	and	CCONJ
ejpam-4849	140	3	nonlinear	nonlinear	ADJ
ejpam-4849	140	4	programming	programming	NOUN
ejpam-4849	140	5	,	,	PUNCT
ejpam-4849	140	6	pages	page	NOUN
ejpam-4849	140	7	37–86	37–86	NUM
ejpam-4849	140	8	,	,	PUNCT
ejpam-4849	140	9	1970	1970	NUM
ejpam-4849	140	10	.	.	PUNCT