id	sid	tid	token	lemma	pos
gojar-5991	1	1	global	global	ADJ
gojar-5991	1	2	online	online	PROPN
gojar-5991	1	3	journal	journal	PROPN
gojar-5991	1	4	of	of	ADP
gojar-5991	1	5	academic	academic	ADJ
gojar-5991	1	6	research	research	NOUN
gojar-5991	1	7	(	(	PUNCT
gojar-5991	1	8	gojar	gojar	NOUN
gojar-5991	1	9	)	)	PUNCT
gojar-5991	1	10	,	,	PUNCT
gojar-5991	1	11	vol	vol	NOUN
gojar-5991	1	12	.	.	PROPN
gojar-5991	1	13	4	4	NUM
gojar-5991	1	14	,	,	PUNCT
gojar-5991	1	15	no	no	INTJ
gojar-5991	1	16	.	.	NOUN
gojar-5991	1	17	1	1	NUM
gojar-5991	1	18	february	february	PROPN
gojar-5991	1	19	2025	2025	NUM
gojar-5991	1	20	global	global	ADJ
gojar-5991	1	21	online	online	ADJ
gojar-5991	1	22	journal	journal	PROPN
gojar-5991	1	23	of	of	ADP
gojar-5991	1	24	academic	academic	ADJ
gojar-5991	1	25	research	research	NOUN
gojar-5991	1	26	(	(	PUNCT
gojar-5991	1	27	gojar	gojar	NOUN
gojar-5991	1	28	)	)	PUNCT
gojar-5991	1	29	,	,	PUNCT
gojar-5991	1	30	vol	vol	NOUN
gojar-5991	1	31	.	.	PROPN
gojar-5991	1	32	4	4	NUM
gojar-5991	1	33	,	,	PUNCT
gojar-5991	1	34	no	no	INTJ
gojar-5991	1	35	.	.	NOUN
gojar-5991	1	36	1	1	NUM
gojar-5991	1	37	february	february	NOUN
gojar-5991	1	38	2025	2025	NUM
gojar-5991	1	39	26	26	NUM
gojar-5991	1	40	implementation	implementation	NOUN
gojar-5991	1	41	and	and	CCONJ
gojar-5991	1	42	comparative	comparative	ADJ
gojar-5991	1	43	analysis	analysis	NOUN
gojar-5991	1	44	of	of	ADP
gojar-5991	1	45	amgt	amgt	NOUN
gojar-5991	1	46	method	method	NOUN
gojar-5991	1	47	in	in	ADP
gojar-5991	1	48	maple	maple	NOUN
gojar-5991	1	49	24	24	NUM
gojar-5991	1	50	:	:	PUNCT
gojar-5991	1	51	convergence	convergence	NOUN
gojar-5991	1	52	performance	performance	NOUN
gojar-5991	1	53	in	in	ADP
gojar-5991	1	54	optimization	optimization	NOUN
gojar-5991	1	55	problems	problem	NOUN
gojar-5991	1	56	mark	mark	PROPN
gojar-5991	1	57	laisin	laisin	PROPN
gojar-5991	1	58	&	&	CCONJ
gojar-5991	1	59	rosemary	rosemary	PROPN
gojar-5991	1	60	u.	u.	PROPN
gojar-5991	1	61	adigwe	adigwe	PROPN
gojar-5991	1	62	abstract	abstract	ADJ
gojar-5991	1	63	this	this	DET
gojar-5991	1	64	study	study	NOUN
gojar-5991	1	65	investigates	investigate	VERB
gojar-5991	1	66	the	the	DET
gojar-5991	1	67	utilization	utilization	NOUN
gojar-5991	1	68	of	of	ADP
gojar-5991	1	69	the	the	DET
gojar-5991	1	70	accelerated	accelerate	VERB
gojar-5991	1	71	modified	modify	VERB
gojar-5991	1	72	gradient	gradient	NOUN
gojar-5991	1	73	technique	technique	NOUN
gojar-5991	1	74	(	(	PUNCT
gojar-5991	1	75	amgt	amgt	NOUN
gojar-5991	1	76	)	)	PUNCT
gojar-5991	1	77	in	in	ADP
gojar-5991	1	78	maple	maple	NOUN
gojar-5991	1	79	24	24	NUM
gojar-5991	1	80	for	for	ADP
gojar-5991	1	81	optimization	optimization	NOUN
gojar-5991	1	82	problem	problem	NOUN
gojar-5991	1	83	-	-	PUNCT
gojar-5991	1	84	solving	solving	NOUN
gojar-5991	1	85	.	.	PUNCT
gojar-5991	2	1	the	the	DET
gojar-5991	2	2	research	research	NOUN
gojar-5991	2	3	focuses	focus	VERB
gojar-5991	2	4	on	on	ADP
gojar-5991	2	5	enhancing	enhance	VERB
gojar-5991	2	6	and	and	CCONJ
gojar-5991	2	7	evaluating	evaluate	VERB
gojar-5991	2	8	the	the	DET
gojar-5991	2	9	convergence	convergence	NOUN
gojar-5991	2	10	speed	speed	NOUN
gojar-5991	2	11	of	of	ADP
gojar-5991	2	12	amgt	amgt	NOUN
gojar-5991	2	13	in	in	ADP
gojar-5991	2	14	comparison	comparison	NOUN
gojar-5991	2	15	to	to	ADP
gojar-5991	2	16	the	the	DET
gojar-5991	2	17	gradient	gradient	ADJ
gojar-5991	2	18	descent	descent	NOUN
gojar-5991	2	19	(	(	PUNCT
gojar-5991	2	20	gd	gd	NOUN
gojar-5991	2	21	)	)	PUNCT
gojar-5991	2	22	and	and	CCONJ
gojar-5991	2	23	conjugate	conjugate	ADJ
gojar-5991	2	24	gradient	gradient	NOUN
gojar-5991	2	25	(	(	PUNCT
gojar-5991	2	26	cg	cg	NOUN
gojar-5991	2	27	)	)	PUNCT
gojar-5991	2	28	methods	method	NOUN
gojar-5991	2	29	.	.	PUNCT
gojar-5991	3	1	the	the	DET
gojar-5991	3	2	analysis	analysis	NOUN
gojar-5991	3	3	covers	cover	VERB
gojar-5991	3	4	a	a	DET
gojar-5991	3	5	range	range	NOUN
gojar-5991	3	6	of	of	ADP
gojar-5991	3	7	function	function	NOUN
gojar-5991	3	8	types	type	NOUN
gojar-5991	3	9	,	,	PUNCT
gojar-5991	3	10	such	such	ADJ
gojar-5991	3	11	as	as	ADP
gojar-5991	3	12	convex	convex	NOUN
gojar-5991	3	13	functions	function	NOUN
gojar-5991	3	14	(	(	PUNCT
gojar-5991	3	15	e.g.	e.g.	ADV
gojar-5991	3	16	,	,	PUNCT
gojar-5991	3	17	production	production	NOUN
gojar-5991	3	18	cost	cost	NOUN
gojar-5991	3	19	,	,	PUNCT
gojar-5991	3	20	energy	energy	NOUN
gojar-5991	3	21	consumption	consumption	NOUN
gojar-5991	3	22	,	,	PUNCT
gojar-5991	3	23	and	and	CCONJ
gojar-5991	3	24	transportation	transportation	NOUN
gojar-5991	3	25	cost	cost	NOUN
gojar-5991	3	26	functions	function	NOUN
gojar-5991	3	27	)	)	PUNCT
gojar-5991	3	28	and	and	CCONJ
gojar-5991	3	29	a	a	DET
gojar-5991	3	30	nonconvex	nonconvex	NOUN
gojar-5991	3	31	function	function	NOUN
gojar-5991	3	32	.	.	PUNCT
gojar-5991	4	1	findings	finding	NOUN
gojar-5991	4	2	showcase	showcase	VERB
gojar-5991	4	3	the	the	DET
gojar-5991	4	4	effectiveness	effectiveness	NOUN
gojar-5991	4	5	and	and	CCONJ
gojar-5991	4	6	versatility	versatility	NOUN
gojar-5991	4	7	of	of	ADP
gojar-5991	4	8	amgt	amgt	NOUN
gojar-5991	4	9	,	,	PUNCT
gojar-5991	4	10	shedding	shed	VERB
gojar-5991	4	11	light	light	NOUN
gojar-5991	4	12	on	on	ADP
gojar-5991	4	13	its	its	PRON
gojar-5991	4	14	utility	utility	NOUN
gojar-5991	4	15	for	for	ADP
gojar-5991	4	16	addressing	address	VERB
gojar-5991	4	17	practical	practical	ADJ
gojar-5991	4	18	optimization	optimization	NOUN
gojar-5991	4	19	challenges	challenge	NOUN
gojar-5991	4	20	.	.	PUNCT
gojar-5991	5	1	keywords	keyword	NOUN
gojar-5991	5	2	:	:	PUNCT
gojar-5991	5	3	amgt	amgt	NOUN
gojar-5991	5	4	method	method	NOUN
gojar-5991	5	5	,	,	PUNCT
gojar-5991	5	6	maple	maple	NOUN
gojar-5991	5	7	24	24	NUM
gojar-5991	5	8	,	,	PUNCT
gojar-5991	5	9	convergence	convergence	NOUN
gojar-5991	5	10	performance	performance	NOUN
gojar-5991	5	11	,	,	PUNCT
gojar-5991	5	12	optimization	optimization	NOUN
gojar-5991	5	13	problems	problem	NOUN
gojar-5991	5	14	,	,	PUNCT
gojar-5991	5	15	comparative	comparative	ADJ
gojar-5991	5	16	analysis	analysis	NOUN
gojar-5991	5	17	1	1	NUM
gojar-5991	5	18	.	.	PUNCT
gojar-5991	6	1	introduction	introduction	NOUN
gojar-5991	6	2	optimization	optimization	NOUN
gojar-5991	6	3	techniques	technique	NOUN
gojar-5991	6	4	are	be	AUX
gojar-5991	6	5	crucial	crucial	ADJ
gojar-5991	6	6	for	for	ADP
gojar-5991	6	7	solving	solve	VERB
gojar-5991	6	8	complex	complex	ADJ
gojar-5991	6	9	problems	problem	NOUN
gojar-5991	6	10	in	in	ADP
gojar-5991	6	11	various	various	ADJ
gojar-5991	6	12	fields	field	NOUN
gojar-5991	6	13	,	,	PUNCT
gojar-5991	6	14	such	such	ADJ
gojar-5991	6	15	as	as	ADP
gojar-5991	6	16	engineering	engineering	NOUN
gojar-5991	6	17	,	,	PUNCT
gojar-5991	6	18	economics	economic	NOUN
gojar-5991	6	19	,	,	PUNCT
gojar-5991	6	20	machine	machine	NOUN
gojar-5991	6	21	learning	learning	NOUN
gojar-5991	6	22	,	,	PUNCT
gojar-5991	6	23	and	and	CCONJ
gojar-5991	6	24	operations	operation	NOUN
gojar-5991	6	25	research	research	NOUN
gojar-5991	6	26	.	.	PUNCT
gojar-5991	7	1	they	they	PRON
gojar-5991	7	2	are	be	AUX
gojar-5991	7	3	essential	essential	ADJ
gojar-5991	7	4	for	for	ADP
gojar-5991	7	5	decision	decision	NOUN
gojar-5991	7	6	-	-	PUNCT
gojar-5991	7	7	making	make	VERB
gojar-5991	7	8	processes	process	NOUN
gojar-5991	7	9	,	,	PUNCT
gojar-5991	7	10	from	from	ADP
gojar-5991	7	11	designing	design	VERB
gojar-5991	7	12	efficient	efficient	ADJ
gojar-5991	7	13	systems	system	NOUN
gojar-5991	7	14	to	to	ADP
gojar-5991	7	15	finding	find	VERB
gojar-5991	7	16	optimal	optimal	ADJ
gojar-5991	7	17	financial	financial	ADJ
gojar-5991	7	18	strategies	strategy	NOUN
gojar-5991	7	19	(	(	PUNCT
gojar-5991	7	20	boyd	boyd	PROPN
gojar-5991	7	21	&	&	CCONJ
gojar-5991	7	22	vandenberghe	vandenberghe	PROPN
gojar-5991	7	23	,	,	PUNCT
gojar-5991	7	24	2004	2004	NUM
gojar-5991	7	25	)	)	PUNCT
gojar-5991	7	26	.	.	PUNCT
gojar-5991	8	1	gradient	gradient	NOUN
gojar-5991	8	2	-	-	PUNCT
gojar-5991	8	3	based	base	VERB
gojar-5991	8	4	methods	method	NOUN
gojar-5991	8	5	like	like	ADP
gojar-5991	8	6	gradient	gradient	ADJ
gojar-5991	8	7	descent	descent	NOUN
gojar-5991	8	8	(	(	PUNCT
gojar-5991	8	9	gd	gd	NOUN
gojar-5991	8	10	)	)	PUNCT
gojar-5991	8	11	and	and	CCONJ
gojar-5991	8	12	conjugate	conjugate	ADJ
gojar-5991	8	13	gradient	gradient	NOUN
gojar-5991	8	14	(	(	PUNCT
gojar-5991	8	15	cg	cg	NOUN
gojar-5991	8	16	)	)	PUNCT
gojar-5991	8	17	are	be	AUX
gojar-5991	8	18	widely	widely	ADV
gojar-5991	8	19	used	use	VERB
gojar-5991	8	20	due	due	ADP
gojar-5991	8	21	to	to	ADP
gojar-5991	8	22	their	their	PRON
gojar-5991	8	23	computational	computational	ADJ
gojar-5991	8	24	efficiency	efficiency	NOUN
gojar-5991	8	25	and	and	CCONJ
gojar-5991	8	26	well	well	ADV
gojar-5991	8	27	-	-	PUNCT
gojar-5991	8	28	understood	understand	VERB
gojar-5991	8	29	theoretical	theoretical	ADJ
gojar-5991	8	30	properties	property	NOUN
gojar-5991	8	31	(	(	PUNCT
gojar-5991	8	32	nocedal	nocedal	PROPN
gojar-5991	8	33	&	&	CCONJ
gojar-5991	8	34	wright	wright	PROPN
gojar-5991	8	35	,	,	PUNCT
gojar-5991	8	36	2006	2006	NUM
gojar-5991	8	37	)	)	PUNCT
gojar-5991	8	38	.	.	PUNCT
gojar-5991	9	1	these	these	DET
gojar-5991	9	2	methods	method	NOUN
gojar-5991	9	3	iteratively	iteratively	ADV
gojar-5991	9	4	improve	improve	VERB
gojar-5991	9	5	solutions	solution	NOUN
gojar-5991	9	6	by	by	ADP
gojar-5991	9	7	using	use	VERB
gojar-5991	9	8	gradients	gradient	NOUN
gojar-5991	9	9	to	to	PART
gojar-5991	9	10	guide	guide	VERB
gojar-5991	9	11	the	the	DET
gojar-5991	9	12	search	search	NOUN
gojar-5991	9	13	for	for	ADP
gojar-5991	9	14	the	the	DET
gojar-5991	9	15	optimal	optimal	ADJ
gojar-5991	9	16	solution	solution	NOUN
gojar-5991	9	17	,	,	PUNCT
gojar-5991	9	18	making	make	VERB
gojar-5991	9	19	them	they	PRON
gojar-5991	9	20	effective	effective	ADJ
gojar-5991	9	21	for	for	ADP
gojar-5991	9	22	continuous	continuous	ADJ
gojar-5991	9	23	optimization	optimization	NOUN
gojar-5991	9	24	problems	problem	NOUN
gojar-5991	9	25	.	.	PUNCT
gojar-5991	10	1	however	however	ADV
gojar-5991	10	2	,	,	PUNCT
gojar-5991	10	3	in	in	ADP
gojar-5991	10	4	some	some	DET
gojar-5991	10	5	cases	case	NOUN
gojar-5991	10	6	,	,	PUNCT
gojar-5991	10	7	basic	basic	ADJ
gojar-5991	10	8	gradient	gradient	NOUN
gojar-5991	10	9	-	-	PUNCT
gojar-5991	10	10	based	base	VERB
gojar-5991	10	11	methods	method	NOUN
gojar-5991	10	12	face	face	VERB
gojar-5991	10	13	limitations	limitation	NOUN
gojar-5991	10	14	in	in	ADP
gojar-5991	10	15	terms	term	NOUN
gojar-5991	10	16	of	of	ADP
gojar-5991	10	17	convergence	convergence	NOUN
gojar-5991	10	18	speed	speed	NOUN
gojar-5991	10	19	and	and	CCONJ
gojar-5991	10	20	stability	stability	NOUN
gojar-5991	10	21	,	,	PUNCT
gojar-5991	10	22	especially	especially	ADV
gojar-5991	10	23	in	in	ADP
gojar-5991	10	24	large	large	ADJ
gojar-5991	10	25	or	or	CCONJ
gojar-5991	10	26	complex	complex	ADJ
gojar-5991	10	27	global	global	ADJ
gojar-5991	10	28	online	online	ADJ
gojar-5991	10	29	journal	journal	NOUN
gojar-5991	10	30	of	of	ADP
gojar-5991	10	31	academic	academic	ADJ
gojar-5991	10	32	research	research	NOUN
gojar-5991	10	33	(	(	PUNCT
gojar-5991	10	34	gojar	gojar	NOUN
gojar-5991	10	35	)	)	PUNCT
gojar-5991	10	36	,	,	PUNCT
gojar-5991	10	37	vol	vol	NOUN
gojar-5991	10	38	.	.	PROPN
gojar-5991	10	39	4	4	NUM
gojar-5991	10	40	,	,	PUNCT
gojar-5991	10	41	no	no	INTJ
gojar-5991	10	42	.	.	NOUN
gojar-5991	10	43	1	1	NUM
gojar-5991	10	44	february	february	PROPN
gojar-5991	10	45	2025	2025	NUM
gojar-5991	10	46	27	27	NUM
gojar-5991	10	47	problem	problem	NOUN
gojar-5991	10	48	spaces	space	VERB
gojar-5991	10	49	.	.	PUNCT
gojar-5991	11	1	as	as	SCONJ
gojar-5991	11	2	optimization	optimization	NOUN
gojar-5991	11	3	problems	problem	NOUN
gojar-5991	11	4	become	become	VERB
gojar-5991	11	5	high	high	ADV
gojar-5991	11	6	-	-	PUNCT
gojar-5991	11	7	dimensional	dimensional	ADJ
gojar-5991	11	8	or	or	CCONJ
gojar-5991	11	9	nonconvex	nonconvex	NOUN
gojar-5991	11	10	,	,	PUNCT
gojar-5991	11	11	traditional	traditional	ADJ
gojar-5991	11	12	methods	method	NOUN
gojar-5991	11	13	like	like	ADP
gojar-5991	11	14	gd	gd	PROPN
gojar-5991	11	15	and	and	CCONJ
gojar-5991	11	16	cg	cg	NOUN
gojar-5991	11	17	may	may	AUX
gojar-5991	11	18	struggle	struggle	VERB
gojar-5991	11	19	,	,	PUNCT
gojar-5991	11	20	leading	lead	VERB
gojar-5991	11	21	to	to	ADP
gojar-5991	11	22	slower	slow	ADJ
gojar-5991	11	23	convergence	convergence	NOUN
gojar-5991	11	24	rates	rate	NOUN
gojar-5991	11	25	and	and	CCONJ
gojar-5991	11	26	potential	potential	ADJ
gojar-5991	11	27	failure	failure	NOUN
gojar-5991	11	28	to	to	PART
gojar-5991	11	29	escape	escape	VERB
gojar-5991	11	30	local	local	ADJ
gojar-5991	11	31	minima	minima	NOUN
gojar-5991	11	32	(	(	PUNCT
gojar-5991	11	33	bertsekas	bertsekas	PROPN
gojar-5991	11	34	,	,	PUNCT
gojar-5991	11	35	1999	1999	NUM
gojar-5991	11	36	)	)	PUNCT
gojar-5991	11	37	.	.	PUNCT
gojar-5991	12	1	accelerated	accelerate	VERB
gojar-5991	12	2	gradient	gradient	ADJ
gojar-5991	12	3	methods	method	NOUN
gojar-5991	12	4	,	,	PUNCT
gojar-5991	12	5	including	include	VERB
gojar-5991	12	6	the	the	DET
gojar-5991	12	7	accelerated	accelerate	VERB
gojar-5991	12	8	modified	modify	VERB
gojar-5991	12	9	gradient	gradient	NOUN
gojar-5991	12	10	technique	technique	NOUN
gojar-5991	12	11	(	(	PUNCT
gojar-5991	12	12	amgt	amgt	NOUN
gojar-5991	12	13	)	)	PUNCT
gojar-5991	12	14	,	,	PUNCT
gojar-5991	12	15	have	have	AUX
gojar-5991	12	16	been	be	AUX
gojar-5991	12	17	proposed	propose	VERB
gojar-5991	12	18	to	to	PART
gojar-5991	12	19	address	address	VERB
gojar-5991	12	20	these	these	DET
gojar-5991	12	21	challenges	challenge	NOUN
gojar-5991	12	22	and	and	CCONJ
gojar-5991	12	23	offer	offer	VERB
gojar-5991	12	24	improvements	improvement	NOUN
gojar-5991	12	25	in	in	ADP
gojar-5991	12	26	convergence	convergence	NOUN
gojar-5991	12	27	speed	speed	NOUN
gojar-5991	12	28	and	and	CCONJ
gojar-5991	12	29	stability	stability	NOUN
gojar-5991	12	30	(	(	PUNCT
gojar-5991	12	31	nesterov	nesterov	ADJ
gojar-5991	12	32	,	,	PUNCT
gojar-5991	12	33	1983	1983	NUM
gojar-5991	12	34	)	)	PUNCT
gojar-5991	12	35	.	.	PUNCT
gojar-5991	13	1	the	the	DET
gojar-5991	13	2	amgt	amgt	NOUN
gojar-5991	13	3	combines	combine	VERB
gojar-5991	13	4	the	the	DET
gojar-5991	13	5	theoretical	theoretical	ADJ
gojar-5991	13	6	robustness	robustness	NOUN
gojar-5991	13	7	of	of	ADP
gojar-5991	13	8	traditional	traditional	ADJ
gojar-5991	13	9	gradient	gradient	ADJ
gojar-5991	13	10	methods	method	NOUN
gojar-5991	13	11	with	with	ADP
gojar-5991	13	12	acceleration	acceleration	NOUN
gojar-5991	13	13	strategies	strategy	NOUN
gojar-5991	13	14	that	that	PRON
gojar-5991	13	15	optimize	optimize	VERB
gojar-5991	13	16	the	the	DET
gojar-5991	13	17	search	search	NOUN
gojar-5991	13	18	for	for	ADP
gojar-5991	13	19	a	a	DET
gojar-5991	13	20	minimum	minimum	NOUN
gojar-5991	13	21	.	.	PUNCT
gojar-5991	14	1	it	it	PRON
gojar-5991	14	2	adapts	adapt	VERB
gojar-5991	14	3	the	the	DET
gojar-5991	14	4	gradient	gradient	ADJ
gojar-5991	14	5	direction	direction	NOUN
gojar-5991	14	6	dynamically	dynamically	ADV
gojar-5991	14	7	to	to	PART
gojar-5991	14	8	enhance	enhance	VERB
gojar-5991	14	9	the	the	DET
gojar-5991	14	10	rate	rate	NOUN
gojar-5991	14	11	of	of	ADP
gojar-5991	14	12	convergence	convergence	NOUN
gojar-5991	14	13	,	,	PUNCT
gojar-5991	14	14	a	a	DET
gojar-5991	14	15	feature	feature	NOUN
gojar-5991	14	16	that	that	PRON
gojar-5991	14	17	can	can	AUX
gojar-5991	14	18	be	be	AUX
gojar-5991	14	19	critical	critical	ADJ
gojar-5991	14	20	when	when	SCONJ
gojar-5991	14	21	dealing	deal	VERB
gojar-5991	14	22	with	with	ADP
gojar-5991	14	23	large	large	ADJ
gojar-5991	14	24	-	-	PUNCT
gojar-5991	14	25	scale	scale	NOUN
gojar-5991	14	26	optimization	optimization	NOUN
gojar-5991	14	27	tasks	task	NOUN
gojar-5991	14	28	or	or	CCONJ
gojar-5991	14	29	when	when	SCONJ
gojar-5991	14	30	high	high	ADJ
gojar-5991	14	31	precision	precision	NOUN
gojar-5991	14	32	is	be	AUX
gojar-5991	14	33	required	require	VERB
gojar-5991	14	34	(	(	PUNCT
gojar-5991	14	35	dauphin	dauphin	PROPN
gojar-5991	14	36	et	et	PROPN
gojar-5991	14	37	al	al	PROPN
gojar-5991	14	38	.	.	PROPN
gojar-5991	14	39	,	,	PUNCT
gojar-5991	14	40	2015	2015	NUM
gojar-5991	14	41	)	)	PUNCT
gojar-5991	14	42	.	.	PUNCT
gojar-5991	15	1	despite	despite	SCONJ
gojar-5991	15	2	its	its	PRON
gojar-5991	15	3	potential	potential	NOUN
gojar-5991	15	4	,	,	PUNCT
gojar-5991	15	5	there	there	PRON
gojar-5991	15	6	is	be	VERB
gojar-5991	15	7	a	a	DET
gojar-5991	15	8	limited	limited	ADJ
gojar-5991	15	9	comparative	comparative	ADJ
gojar-5991	15	10	analysis	analysis	NOUN
gojar-5991	15	11	of	of	ADP
gojar-5991	15	12	amgt	amgt	NOUN
gojar-5991	15	13	concerning	concern	VERB
gojar-5991	15	14	traditional	traditional	ADJ
gojar-5991	15	15	methods	method	NOUN
gojar-5991	15	16	such	such	ADJ
gojar-5991	15	17	as	as	ADP
gojar-5991	15	18	gd	gd	PROPN
gojar-5991	15	19	and	and	CCONJ
gojar-5991	15	20	cg	cg	VERB
gojar-5991	15	21	in	in	ADP
gojar-5991	15	22	contemporary	contemporary	ADJ
gojar-5991	15	23	optimization	optimization	NOUN
gojar-5991	15	24	applications	application	NOUN
gojar-5991	15	25	,	,	PUNCT
gojar-5991	15	26	particularly	particularly	ADV
gojar-5991	15	27	in	in	ADP
gojar-5991	15	28	symbolic	symbolic	ADJ
gojar-5991	15	29	and	and	CCONJ
gojar-5991	15	30	numerical	numerical	ADJ
gojar-5991	15	31	computation	computation	NOUN
gojar-5991	15	32	environments	environment	NOUN
gojar-5991	15	33	.	.	PUNCT
gojar-5991	16	1	this	this	DET
gojar-5991	16	2	paper	paper	NOUN
gojar-5991	16	3	investigates	investigate	VERB
gojar-5991	16	4	the	the	DET
gojar-5991	16	5	implementation	implementation	NOUN
gojar-5991	16	6	of	of	ADP
gojar-5991	16	7	amgt	amgt	NOUN
gojar-5991	16	8	in	in	ADP
gojar-5991	16	9	maple	maple	PROPN
gojar-5991	16	10	24	24	NUM
gojar-5991	16	11	,	,	PUNCT
gojar-5991	16	12	a	a	DET
gojar-5991	16	13	versatile	versatile	ADJ
gojar-5991	16	14	software	software	NOUN
gojar-5991	16	15	for	for	ADP
gojar-5991	16	16	mathematical	mathematical	ADJ
gojar-5991	16	17	modeling	modeling	NOUN
gojar-5991	16	18	,	,	PUNCT
gojar-5991	16	19	simulation	simulation	NOUN
gojar-5991	16	20	,	,	PUNCT
gojar-5991	16	21	and	and	CCONJ
gojar-5991	16	22	optimization	optimization	NOUN
gojar-5991	16	23	(	(	PUNCT
gojar-5991	16	24	maplesoft	maplesoft	ADV
gojar-5991	16	25	,	,	PUNCT
gojar-5991	16	26	2023	2023	NUM
gojar-5991	16	27	)	)	PUNCT
gojar-5991	16	28	.	.	PUNCT
gojar-5991	17	1	the	the	DET
gojar-5991	17	2	objective	objective	NOUN
gojar-5991	17	3	is	be	AUX
gojar-5991	17	4	to	to	PART
gojar-5991	17	5	compare	compare	VERB
gojar-5991	17	6	the	the	DET
gojar-5991	17	7	convergence	convergence	NOUN
gojar-5991	17	8	performance	performance	NOUN
gojar-5991	17	9	of	of	ADP
gojar-5991	17	10	amgt	amgt	NOUN
gojar-5991	17	11	with	with	ADP
gojar-5991	17	12	gd	gd	PROPN
gojar-5991	17	13	and	and	CCONJ
gojar-5991	17	14	cg	cg	VERB
gojar-5991	17	15	across	across	ADP
gojar-5991	17	16	various	various	ADJ
gojar-5991	17	17	optimization	optimization	NOUN
gojar-5991	17	18	problems	problem	NOUN
gojar-5991	17	19	,	,	PUNCT
gojar-5991	17	20	including	include	VERB
gojar-5991	17	21	convex	convex	NOUN
gojar-5991	17	22	and	and	CCONJ
gojar-5991	17	23	non	non	ADJ
gojar-5991	17	24	-	-	ADJ
gojar-5991	17	25	convex	convex	ADJ
gojar-5991	17	26	scenarios	scenario	NOUN
gojar-5991	17	27	,	,	PUNCT
gojar-5991	17	28	to	to	PART
gojar-5991	17	29	assess	assess	VERB
gojar-5991	17	30	their	their	PRON
gojar-5991	17	31	relative	relative	ADJ
gojar-5991	17	32	effectiveness	effectiveness	NOUN
gojar-5991	17	33	in	in	ADP
gojar-5991	17	34	different	different	ADJ
gojar-5991	17	35	contexts	context	NOUN
gojar-5991	17	36	.	.	PUNCT
gojar-5991	18	1	ii	ii	PROPN
gojar-5991	18	2	.	.	PUNCT
gojar-5991	19	1	methods	method	NOUN
gojar-5991	19	2	and	and	CCONJ
gojar-5991	19	3	materials	material	NOUN
gojar-5991	19	4	problem	problem	NOUN
gojar-5991	19	5	formulation	formulation	NOUN
gojar-5991	19	6	optimization	optimization	NOUN
gojar-5991	19	7	problems	problem	NOUN
gojar-5991	19	8	are	be	AUX
gojar-5991	19	9	expressed	express	VERB
gojar-5991	19	10	as	as	ADP
gojar-5991	19	11	minimizing	minimize	VERB
gojar-5991	19	12	a	a	DET
gojar-5991	19	13	cost	cost	NOUN
gojar-5991	19	14	function	function	NOUN
gojar-5991	19	15	.	.	PUNCT
gojar-5991	20	1	the	the	DET
gojar-5991	20	2	study	study	NOUN
gojar-5991	20	3	considers	consider	VERB
gojar-5991	20	4	the	the	DET
gojar-5991	20	5	following	follow	VERB
gojar-5991	20	6	types	type	NOUN
gojar-5991	20	7	of	of	ADP
gojar-5991	20	8	functions	function	NOUN
gojar-5991	20	9	:	:	PUNCT
gojar-5991	20	10			PRON
gojar-5991	20	11	production	production	NOUN
gojar-5991	20	12	cost	cost	NOUN
gojar-5991	20	13	function	function	NOUN
gojar-5991	20	14	𝐶(𝑥	𝐶(𝑥	PROPN
gojar-5991	20	15	,	,	PUNCT
gojar-5991	20	16	𝑦	𝑦	NOUN
gojar-5991	20	17	)	)	PUNCT
gojar-5991	20	18	=	=	SYM
gojar-5991	20	19	𝑎𝑥2	𝑎𝑥2	PROPN
gojar-5991	20	20	+	+	CCONJ
gojar-5991	20	21	𝑏𝑦2	𝑏𝑦2	PROPN
gojar-5991	21	1	+	+	CCONJ
gojar-5991	21	2	𝑐𝑥𝑦	𝑐𝑥𝑦	NOUN
gojar-5991	22	1	+	+	CCONJ
gojar-5991	22	2	𝑑	𝑑	PROPN
gojar-5991	22	3	where	where	SCONJ
gojar-5991	22	4	𝐶(𝑥	𝐶(𝑥	ADP
gojar-5991	22	5	,	,	PUNCT
gojar-5991	22	6	𝑦	𝑦	NOUN
gojar-5991	22	7	)	)	PUNCT
gojar-5991	22	8	is	be	AUX
gojar-5991	22	9	the	the	DET
gojar-5991	22	10	cost	cost	NOUN
gojar-5991	22	11	of	of	ADP
gojar-5991	22	12	producing	produce	VERB
gojar-5991	22	13	x	x	NOUN
gojar-5991	22	14	units	unit	NOUN
gojar-5991	22	15	of	of	ADP
gojar-5991	22	16	labour	labour	NOUN
gojar-5991	22	17	and	and	CCONJ
gojar-5991	22	18	y	y	PROPN
gojar-5991	22	19	units	unit	NOUN
gojar-5991	22	20	of	of	ADP
gojar-5991	22	21	capital	capital	NOUN
gojar-5991	22	22	,	,	PUNCT
gojar-5991	22	23	and	and	CCONJ
gojar-5991	22	24	a	a	DET
gojar-5991	22	25	,	,	PUNCT
gojar-5991	22	26	b	b	PROPN
gojar-5991	22	27	,	,	PUNCT
gojar-5991	22	28	c	c	NOUN
gojar-5991	22	29	,	,	PUNCT
gojar-5991	22	30	and	and	CCONJ
gojar-5991	22	31	d	d	NOUN
gojar-5991	22	32	are	be	AUX
gojar-5991	22	33	constants	constant	NOUN
gojar-5991	22	34	.	.	PUNCT
gojar-5991	23	1			NOUN
gojar-5991	23	2	energy	energy	NOUN
gojar-5991	23	3	consumptionfunction	consumptionfunction	PROPN
gojar-5991	23	4	𝐸(𝑇	𝐸(𝑇	PROPN
gojar-5991	23	5	,	,	PUNCT
gojar-5991	23	6	𝐻	𝐻	PROPN
gojar-5991	23	7	)	)	PUNCT
gojar-5991	23	8	=	=	SYM
gojar-5991	23	9	𝛼𝑇2	𝛼𝑇2	PROPN
gojar-5991	23	10	+	+	CCONJ
gojar-5991	23	11	𝛽𝐻2	𝛽𝐻2	PROPN
gojar-5991	23	12	+	+	NUM
gojar-5991	23	13	𝛾𝑇𝐻	𝛾𝑇𝐻	PROPN
gojar-5991	23	14	+	+	X
gojar-5991	23	15	𝜔	𝜔	ADP
gojar-5991	23	16	where	where	SCONJ
gojar-5991	23	17	𝐸(𝑇	𝐸(𝑇	NOUN
gojar-5991	23	18	,	,	PUNCT
gojar-5991	23	19	𝐻	𝐻	PROPN
gojar-5991	23	20	)	)	PUNCT
gojar-5991	23	21	is	be	AUX
gojar-5991	23	22	energy	energy	NOUN
gojar-5991	23	23	consumption	consumption	NOUN
gojar-5991	23	24	as	as	ADP
gojar-5991	23	25	a	a	DET
gojar-5991	23	26	function	function	NOUN
gojar-5991	23	27	of	of	ADP
gojar-5991	23	28	temperature	temperature	NOUN
gojar-5991	23	29	and	and	CCONJ
gojar-5991	23	30	humidity	humidity	NOUN
gojar-5991	23	31	while	while	SCONJ
gojar-5991	23	32	𝛼	𝛼	PROPN
gojar-5991	23	33	,	,	PUNCT
gojar-5991	23	34	𝛽	𝛽	NOUN
gojar-5991	23	35	,	,	PUNCT
gojar-5991	23	36	𝛾	𝛾	VERB
gojar-5991	23	37	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
gojar-5991	23	38	𝜔	𝜔	NOUN
gojar-5991	23	39	are	be	AUX
gojar-5991	23	40	constants	constant	NOUN
gojar-5991	23	41	.	.	PUNCT
gojar-5991	24	1			NOUN
gojar-5991	24	2	transportation	transportation	NOUN
gojar-5991	24	3	cost	cost	NOUN
gojar-5991	24	4	function	function	NOUN
gojar-5991	24	5	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	24	6	,	,	PUNCT
gojar-5991	24	7	𝐷	𝐷	PROPN
gojar-5991	24	8	)	)	PUNCT
gojar-5991	24	9	=	=	SYM
gojar-5991	24	10	𝛼𝑄2	𝛼𝑄2	PROPN
gojar-5991	24	11	+	+	CCONJ
gojar-5991	24	12	𝛽𝐷2	𝛽𝐷2	PROPN
gojar-5991	24	13	+	+	CCONJ
gojar-5991	24	14	𝛾𝑄𝐷	𝛾𝑄𝐷	NOUN
gojar-5991	24	15	+	+	CCONJ
gojar-5991	24	16	𝜔	𝜔	ADP
gojar-5991	24	17	where	where	SCONJ
gojar-5991	24	18	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	24	19	,	,	PUNCT
gojar-5991	24	20	𝐷	𝐷	PROPN
gojar-5991	24	21	)	)	PUNCT
gojar-5991	24	22	is	be	AUX
gojar-5991	24	23	the	the	DET
gojar-5991	24	24	transportation	transportation	NOUN
gojar-5991	24	25	cost	cost	NOUN
gojar-5991	24	26	as	as	ADP
gojar-5991	24	27	a	a	DET
gojar-5991	24	28	function	function	NOUN
gojar-5991	24	29	of	of	ADP
gojar-5991	24	30	quantity	quantity	NOUN
gojar-5991	24	31	(	(	PUNCT
gojar-5991	24	32	q	q	NOUN
gojar-5991	24	33	)	)	PUNCT
gojar-5991	24	34	of	of	ADP
gojar-5991	24	35	goods	good	NOUN
gojar-5991	24	36	to	to	PART
gojar-5991	24	37	be	be	AUX
gojar-5991	24	38	transported	transport	VERB
gojar-5991	24	39	and	and	CCONJ
gojar-5991	24	40	distance	distance	NOUN
gojar-5991	24	41	to	to	PART
gojar-5991	24	42	be	be	AUX
gojar-5991	24	43	covered	cover	VERB
gojar-5991	24	44	in	in	ADP
gojar-5991	24	45	transportation	transportation	NOUN
gojar-5991	24	46	(	(	PUNCT
gojar-5991	24	47	d	d	NOUN
gojar-5991	24	48	)	)	PUNCT
gojar-5991	24	49	.	.	PUNCT
gojar-5991	25	1	𝛼	𝛼	AUX
gojar-5991	25	2	,	,	PUNCT
gojar-5991	25	3	𝛽	𝛽	PROPN
gojar-5991	25	4	,	,	PUNCT
gojar-5991	25	5	𝛾	𝛾	AUX
gojar-5991	25	6	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
gojar-5991	25	7	𝜔	𝜔	NOUN
gojar-5991	25	8	are	be	AUX
gojar-5991	25	9	constants	constant	NOUN
gojar-5991	25	10	.	.	PUNCT
gojar-5991	26	1	non	non	ADJ
gojar-5991	26	2	-	-	ADJ
gojar-5991	26	3	convex	convex	ADJ
gojar-5991	26	4	function	function	NOUN
gojar-5991	26	5	:	:	PUNCT
gojar-5991	26	6	a	a	DET
gojar-5991	26	7	non	non	ADJ
gojar-5991	26	8	-	-	ADJ
gojar-5991	26	9	convex	convex	ADJ
gojar-5991	26	10	function	function	NOUN
gojar-5991	26	11	in	in	ADP
gojar-5991	26	12	mathematics	mathematic	NOUN
gojar-5991	26	13	refers	refer	VERB
gojar-5991	26	14	to	to	ADP
gojar-5991	26	15	a	a	DET
gojar-5991	26	16	function	function	NOUN
gojar-5991	26	17	where	where	SCONJ
gojar-5991	26	18	the	the	DET
gojar-5991	26	19	line	line	NOUN
gojar-5991	26	20	segment	segment	NOUN
gojar-5991	26	21	joining	join	VERB
gojar-5991	26	22	any	any	DET
gojar-5991	26	23	two	two	NUM
gojar-5991	26	24	points	point	NOUN
gojar-5991	26	25	on	on	ADP
gojar-5991	26	26	the	the	DET
gojar-5991	26	27	graph	graph	NOUN
gojar-5991	26	28	of	of	ADP
gojar-5991	26	29	the	the	DET
gojar-5991	26	30	global	global	ADJ
gojar-5991	26	31	online	online	PROPN
gojar-5991	26	32	journal	journal	PROPN
gojar-5991	26	33	of	of	ADP
gojar-5991	26	34	academic	academic	ADJ
gojar-5991	26	35	research	research	NOUN
gojar-5991	26	36	(	(	PUNCT
gojar-5991	26	37	gojar	gojar	NOUN
gojar-5991	26	38	)	)	PUNCT
gojar-5991	26	39	,	,	PUNCT
gojar-5991	26	40	vol	vol	NOUN
gojar-5991	26	41	.	.	PROPN
gojar-5991	26	42	4	4	NUM
gojar-5991	26	43	,	,	PUNCT
gojar-5991	26	44	no	no	INTJ
gojar-5991	26	45	.	.	NOUN
gojar-5991	26	46	1	1	NUM
gojar-5991	26	47	february	february	PROPN
gojar-5991	26	48	2025	2025	NUM
gojar-5991	26	49	28	28	NUM
gojar-5991	26	50	function	function	NOUN
gojar-5991	26	51	is	be	AUX
gojar-5991	26	52	not	not	PART
gojar-5991	26	53	entirely	entirely	ADV
gojar-5991	26	54	above	above	ADP
gojar-5991	26	55	or	or	CCONJ
gojar-5991	26	56	on	on	ADP
gojar-5991	26	57	the	the	DET
gojar-5991	26	58	graph	graph	NOUN
gojar-5991	26	59	.	.	PUNCT
gojar-5991	27	1	more	more	ADV
gojar-5991	27	2	formally	formally	ADV
gojar-5991	27	3	,	,	PUNCT
gojar-5991	27	4	a	a	DET
gojar-5991	27	5	function	function	NOUN
gojar-5991	27	6	f(x	f(x	PROPN
gojar-5991	27	7	)	)	PUNCT
gojar-5991	27	8	is	be	AUX
gojar-5991	27	9	non	non	ADJ
gojar-5991	27	10	-	-	ADJ
gojar-5991	27	11	convex	convex	ADJ
gojar-5991	27	12	if	if	SCONJ
gojar-5991	27	13	,	,	PUNCT
gojar-5991	27	14	for	for	ADP
gojar-5991	27	15	some	some	DET
gojar-5991	27	16	𝑥1	𝑥1	NOUN
gojar-5991	27	17	,	,	PUNCT
gojar-5991	27	18	𝑥2	𝑥2	NOUN
gojar-5991	27	19	∈	∈	NOUN
gojar-5991	27	20	𝑅𝑛	𝑅𝑛	PROPN
gojar-5991	27	21	and	and	CCONJ
gojar-5991	27	22	for	for	ADP
gojar-5991	27	23	some	some	DET
gojar-5991	27	24	𝜆	𝜆	PRON
gojar-5991	27	25	∈	∈	PROPN
gojar-5991	28	1	[	[	X
gojar-5991	28	2	0,1	0,1	NUM
gojar-5991	28	3	]	]	PUNCT
gojar-5991	28	4	,	,	PUNCT
gojar-5991	28	5	we	we	PRON
gojar-5991	28	6	have	have	VERB
gojar-5991	28	7	:	:	PUNCT
gojar-5991	29	1	𝑓(𝜆𝑥1	𝑓(𝜆𝑥1	ADV
gojar-5991	29	2	+	+	CCONJ
gojar-5991	29	3	(	(	PUNCT
gojar-5991	29	4	1	1	NUM
gojar-5991	29	5	−	−	PROPN
gojar-5991	29	6	𝜆)𝑥2	𝜆)𝑥2	PROPN
gojar-5991	29	7	)	)	PUNCT
gojar-5991	29	8	>	>	X
gojar-5991	29	9	𝜆𝑓(𝑥1	𝜆𝑓(𝑥1	X
gojar-5991	29	10	)	)	PUNCT
gojar-5991	29	11	+	+	CCONJ
gojar-5991	29	12	(	(	PUNCT
gojar-5991	29	13	1	1	NUM
gojar-5991	29	14	−	−	NUM
gojar-5991	29	15	𝜆)𝑓(𝑥2	𝜆)𝑓(𝑥2	NUM
gojar-5991	29	16	)	)	PUNCT
gojar-5991	30	1	which	which	PRON
gojar-5991	30	2	means	mean	VERB
gojar-5991	30	3	that	that	SCONJ
gojar-5991	30	4	the	the	DET
gojar-5991	30	5	epigraph	epigraph	NOUN
gojar-5991	30	6	(	(	PUNCT
gojar-5991	30	7	the	the	DET
gojar-5991	30	8	set	set	NOUN
gojar-5991	30	9	of	of	ADP
gojar-5991	30	10	points	point	NOUN
gojar-5991	30	11	above	above	ADP
gojar-5991	30	12	the	the	DET
gojar-5991	30	13	graph	graph	NOUN
gojar-5991	30	14	)	)	PUNCT
gojar-5991	30	15	is	be	AUX
gojar-5991	30	16	not	not	PART
gojar-5991	30	17	convex	convex	ADJ
gojar-5991	30	18	.	.	PUNCT
gojar-5991	31	1	a	a	DET
gojar-5991	31	2	convex	convex	NOUN
gojar-5991	31	3	function	function	NOUN
gojar-5991	31	4	satisfies	satisfy	VERB
gojar-5991	31	5	the	the	DET
gojar-5991	31	6	reverse	reverse	ADJ
gojar-5991	31	7	inequality	inequality	NOUN
gojar-5991	31	8	:	:	PUNCT
gojar-5991	32	1	𝑓(𝜆𝑥1	𝑓(𝜆𝑥1	ADV
gojar-5991	32	2	+	+	CCONJ
gojar-5991	32	3	(	(	PUNCT
gojar-5991	32	4	1	1	NUM
gojar-5991	32	5	−	−	PROPN
gojar-5991	32	6	𝜆)𝑥2	𝜆)𝑥2	PROPN
gojar-5991	32	7	)	)	PUNCT
gojar-5991	32	8	≤	≤	NOUN
gojar-5991	32	9	𝜆𝑓(𝑥1	𝜆𝑓(𝑥1	CCONJ
gojar-5991	32	10	)	)	PUNCT
gojar-5991	32	11	+	+	CCONJ
gojar-5991	32	12	(	(	PUNCT
gojar-5991	32	13	1	1	NUM
gojar-5991	32	14	−	−	NUM
gojar-5991	32	15	𝜆)𝑓(𝑥2	𝜆)𝑓(𝑥2	NUM
gojar-5991	32	16	)	)	PUNCT
gojar-5991	32	17	a	a	DET
gojar-5991	32	18	non	non	ADJ
gojar-5991	32	19	-	-	ADJ
gojar-5991	32	20	convex	convex	ADJ
gojar-5991	32	21	function	function	NOUN
gojar-5991	32	22	is	be	AUX
gojar-5991	32	23	simply	simply	ADV
gojar-5991	32	24	one	one	NUM
gojar-5991	32	25	that	that	PRON
gojar-5991	32	26	does	do	AUX
gojar-5991	32	27	not	not	PART
gojar-5991	32	28	satisfy	satisfy	VERB
gojar-5991	32	29	this	this	DET
gojar-5991	32	30	condition	condition	NOUN
gojar-5991	32	31	in	in	ADP
gojar-5991	32	32	general	general	ADJ
gojar-5991	32	33	.	.	PUNCT
gojar-5991	33	1	e.g.	e.g.	ADV
gojar-5991	33	2	the	the	DET
gojar-5991	33	3	convex	convex	NOUN
gojar-5991	33	4	function	function	NOUN
gojar-5991	33	5	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	33	6	,	,	PUNCT
gojar-5991	33	7	𝑦	𝑦	NOUN
gojar-5991	33	8	)	)	PUNCT
gojar-5991	33	9	=	=	PUNCT
gojar-5991	34	1	2𝑥𝑦	2𝑥𝑦	NOUN
gojar-5991	35	1	+	+	CCONJ
gojar-5991	35	2	𝑦	𝑦	NOUN
gojar-5991	35	3	−	−	NOUN
gojar-5991	35	4	𝑥2	𝑥2	NOUN
gojar-5991	35	5	−	−	PROPN
gojar-5991	35	6	2𝑦2	2𝑦2	NUM
gojar-5991	35	7	.	.	PUNCT
gojar-5991	36	1	with	with	ADP
gojar-5991	36	2	the	the	DET
gojar-5991	36	3	three	three	NUM
gojar-5991	36	4	methods	method	NOUN
gojar-5991	36	5	using	use	VERB
gojar-5991	36	6	𝑥0	𝑥0	NOUN
gojar-5991	36	7	=	=	SYM
gojar-5991	36	8	2	2	NUM
gojar-5991	36	9	and	and	CCONJ
gojar-5991	36	10	𝑦0	𝑦0	NOUN
gojar-5991	36	11	=	=	SYM
gojar-5991	36	12	2	2	NUM
gojar-5991	36	13	,	,	PUNCT
gojar-5991	36	14	while	while	SCONJ
gojar-5991	36	15	amgt	amgt	PROPN
gojar-5991	36	16	uses	use	VERB
gojar-5991	36	17	𝑚0(𝑥	𝑚0(𝑥	PROPN
gojar-5991	36	18	,	,	PUNCT
gojar-5991	36	19	𝑦	𝑦	NOUN
gojar-5991	36	20	)	)	PUNCT
gojar-5991	36	21	=	=	SYM
gojar-5991	36	22	(	(	PUNCT
gojar-5991	36	23	1000,1000	1000,1000	NUM
gojar-5991	36	24	)	)	PUNCT
gojar-5991	36	25	,	,	PUNCT
gojar-5991	36	26	𝛼	𝛼	NOUN
gojar-5991	36	27	=	=	SYM
gojar-5991	36	28	50	50	NUM
gojar-5991	36	29	,	,	PUNCT
gojar-5991	36	30	𝛽	𝛽	NOUN
gojar-5991	36	31	=	=	SYM
gojar-5991	36	32	0.13	0.13	NUM
gojar-5991	36	33	,	,	PUNCT
gojar-5991	36	34	𝛾	𝛾	NOUN
gojar-5991	36	35	=	=	SYM
gojar-5991	36	36	0.1	0.1	NUM
gojar-5991	36	37	,	,	PUNCT
gojar-5991	36	38	is	be	AUX
gojar-5991	36	39	a	a	DET
gojar-5991	36	40	non	non	ADJ
gojar-5991	36	41	-	-	ADJ
gojar-5991	36	42	convex	convex	ADJ
gojar-5991	36	43	function	function	NOUN
gojar-5991	36	44	.	.	PUNCT
gojar-5991	37	1	algorithms	algorithm	NOUN
gojar-5991	37	2			NOUN
gojar-5991	37	3	gradient	gradient	ADJ
gojar-5991	37	4	descent	descent	NOUN
gojar-5991	37	5	(	(	PUNCT
gojar-5991	37	6	gd	gd	NOUN
gojar-5991	37	7	):	):	PUNCT
gojar-5991	37	8	iterative	iterative	ADJ
gojar-5991	37	9	optimization	optimization	NOUN
gojar-5991	37	10	algorithm	algorithm	NOUN
gojar-5991	37	11	using	use	VERB
gojar-5991	37	12	the	the	DET
gojar-5991	37	13	gradient	gradient	NOUN
gojar-5991	37	14	to	to	PART
gojar-5991	37	15	update	update	VERB
gojar-5991	37	16	parameters	parameter	NOUN
gojar-5991	37	17	.	.	PUNCT
gojar-5991	38	1			X
gojar-5991	38	2	conjugate	conjugate	ADJ
gojar-5991	38	3	gradient	gradient	NOUN
gojar-5991	38	4	(	(	PUNCT
gojar-5991	38	5	cg	cg	NOUN
gojar-5991	38	6	):	):	PUNCT
gojar-5991	38	7	enhances	enhance	NOUN
gojar-5991	38	8	gd	gd	VERB
gojar-5991	38	9	by	by	ADP
gojar-5991	38	10	using	use	VERB
gojar-5991	38	11	conjugate	conjugate	ADJ
gojar-5991	38	12	directions	direction	NOUN
gojar-5991	38	13	for	for	ADP
gojar-5991	38	14	faster	fast	ADJ
gojar-5991	38	15	convergence	convergence	NOUN
gojar-5991	38	16	in	in	ADP
gojar-5991	38	17	quadratic	quadratic	ADJ
gojar-5991	38	18	problems	problem	NOUN
gojar-5991	38	19	.	.	PUNCT
gojar-5991	39	1			PROPN
gojar-5991	39	2	accelerated	accelerate	VERB
gojar-5991	39	3	modified	modified	ADJ
gojar-5991	39	4	gradient	gradient	NOUN
gojar-5991	39	5	technique	technique	NOUN
gojar-5991	39	6	(	(	PUNCT
gojar-5991	39	7	amgt	amgt	NOUN
gojar-5991	39	8	):	):	PUNCT
gojar-5991	39	9	combines	combine	VERB
gojar-5991	39	10	momentum	momentum	NOUN
gojar-5991	39	11	-	-	PUNCT
gojar-5991	39	12	based	base	VERB
gojar-5991	39	13	acceleration	acceleration	NOUN
gojar-5991	39	14	with	with	ADP
gojar-5991	39	15	gradient	gradient	ADJ
gojar-5991	39	16	optimization	optimization	NOUN
gojar-5991	39	17	for	for	ADP
gojar-5991	39	18	enhanced	enhanced	ADJ
gojar-5991	39	19	performance	performance	NOUN
gojar-5991	39	20	for	for	ADP
gojar-5991	39	21	the	the	DET
gojar-5991	39	22	optimization	optimization	NOUN
gojar-5991	39	23	of	of	ADP
gojar-5991	39	24	nonlinear	nonlinear	ADJ
gojar-5991	39	25	unconstrained	unconstrained	ADJ
gojar-5991	39	26	optimization	optimization	NOUN
gojar-5991	39	27	.	.	PUNCT
gojar-5991	40	1	however	however	ADV
gojar-5991	40	2	,	,	PUNCT
gojar-5991	40	3	this	this	PRON
gojar-5991	40	4	is	be	AUX
gojar-5991	40	5	a	a	DET
gojar-5991	40	6	gradient	gradient	ADJ
gojar-5991	40	7	descent	descent	NOUN
gojar-5991	40	8	step	step	NOUN
gojar-5991	40	9	length	length	NOUN
gojar-5991	40	10	algorithm	algorithm	NOUN
gojar-5991	40	11	that	that	PRON
gojar-5991	40	12	is	be	AUX
gojar-5991	40	13	a	a	DET
gojar-5991	40	14	modification	modification	NOUN
gojar-5991	40	15	of	of	ADP
gojar-5991	40	16	some	some	PRON
gojar-5991	40	17	of	of	ADP
gojar-5991	40	18	adam	adam	PROPN
gojar-5991	40	19	’s	’s	PART
gojar-5991	40	20	algorithms	algorithm	NOUN
gojar-5991	40	21	.	.	PUNCT
gojar-5991	41	1	our	our	PRON
gojar-5991	41	2	motivation	motivation	NOUN
gojar-5991	41	3	for	for	ADP
gojar-5991	41	4	this	this	DET
gojar-5991	41	5	method	method	NOUN
gojar-5991	41	6	is	be	AUX
gojar-5991	41	7	the	the	DET
gojar-5991	41	8	need	need	NOUN
gojar-5991	41	9	to	to	PART
gojar-5991	41	10	combine	combine	VERB
gojar-5991	41	11	the	the	DET
gojar-5991	41	12	benefits	benefit	NOUN
gojar-5991	41	13	of	of	ADP
gojar-5991	41	14	adaptive	adaptive	ADJ
gojar-5991	41	15	learning	learning	NOUN
gojar-5991	41	16	rates	rate	NOUN
gojar-5991	41	17	and	and	CCONJ
gojar-5991	41	18	momentum	momentum	NOUN
gojar-5991	41	19	while	while	SCONJ
gojar-5991	41	20	introducing	introduce	VERB
gojar-5991	41	21	a	a	DET
gojar-5991	41	22	gradient	gradient	ADJ
gojar-5991	41	23	technique	technique	NOUN
gojar-5991	41	24	mechanism	mechanism	NOUN
gojar-5991	41	25	to	to	PART
gojar-5991	41	26	escape	escape	VERB
gojar-5991	41	27	local	local	ADJ
gojar-5991	41	28	minima	minima	PROPN
gojar-5991	41	29	.	.	PUNCT
gojar-5991	42	1	update	update	NOUN
gojar-5991	42	2	rules	rule	NOUN
gojar-5991	42	3	for	for	ADP
gojar-5991	42	4	the	the	DET
gojar-5991	42	5	proposed	propose	VERB
gojar-5991	42	6	amgt	amgt	NOUN
gojar-5991	42	7	:	:	PUNCT
gojar-5991	42	8	a.	a.	NOUN
gojar-5991	42	9	define	define	VERB
gojar-5991	42	10	the	the	DET
gojar-5991	42	11	convex	convex	NOUN
gojar-5991	42	12	function	function	NOUN
gojar-5991	42	13	to	to	PART
gojar-5991	42	14	be	be	AUX
gojar-5991	42	15	optimized	optimize	VERB
gojar-5991	42	16	b.	b.	PROPN
gojar-5991	42	17	initialize	initialize	NOUN
gojar-5991	42	18	𝑥0	𝑥0	PROPN
gojar-5991	42	19	,	,	PUNCT
gojar-5991	42	20	𝛼0	𝛼0	PROPN
gojar-5991	42	21	,	,	PUNCT
gojar-5991	42	22	τ	τ	PROPN
gojar-5991	42	23	,	,	PUNCT
gojar-5991	42	24	β	β	X
gojar-5991	42	25	,	,	PUNCT
gojar-5991	42	26	γ	γ	PROPN
gojar-5991	42	27	,	,	PUNCT
gojar-5991	42	28	𝑚0	𝑚0	NOUN
gojar-5991	42	29	,	,	PUNCT
gojar-5991	42	30	tolerance	tolerance	NOUN
gojar-5991	42	31	and	and	CCONJ
gojar-5991	42	32	number	number	NOUN
gojar-5991	42	33	of	of	ADP
gojar-5991	42	34	iterations	iteration	NOUN
gojar-5991	42	35	c.	c.	PROPN
gojar-5991	42	36	compute	compute	VERB
gojar-5991	42	37	the	the	DET
gojar-5991	42	38	gradient	gradient	NOUN
gojar-5991	42	39	of	of	ADP
gojar-5991	42	40	the	the	DET
gojar-5991	42	41	given	give	VERB
gojar-5991	42	42	convex	convex	NOUN
gojar-5991	42	43	function	function	NOUN
gojar-5991	42	44	to	to	PART
gojar-5991	42	45	be	be	AUX
gojar-5991	42	46	optimized	optimize	VERB
gojar-5991	42	47	:	:	PUNCT
gojar-5991	42	48	∇𝑓(𝑥𝑘	∇𝑓(𝑥𝑘	X
gojar-5991	42	49	)	)	PUNCT
gojar-5991	42	50	=	=	SYM
gojar-5991	43	1	∂f	∂f	PROPN
gojar-5991	43	2	∂𝑥𝑘	∂𝑥𝑘	VERB
gojar-5991	43	3	d.	d.	PROPN
gojar-5991	43	4	next	next	ADJ
gojar-5991	43	5	compute	compute	VERB
gojar-5991	43	6	the	the	DET
gojar-5991	43	7	adaptive	adaptive	ADJ
gojar-5991	43	8	learning	learning	NOUN
gojar-5991	43	9	rate	rate	NOUN
gojar-5991	43	10	:	:	PUNCT
gojar-5991	43	11	𝛼𝑘	𝛼𝑘	NOUN
gojar-5991	43	12	=	=	SYM
gojar-5991	43	13	𝛼𝑘−1/(1	𝛼𝑘−1/(1	PROPN
gojar-5991	43	14	+	+	CCONJ
gojar-5991	43	15	γ/𝜏	γ/𝜏	NOUN
gojar-5991	43	16	)	)	PUNCT
gojar-5991	43	17	e.	e.	PROPN
gojar-5991	43	18	compute	compute	VERB
gojar-5991	43	19	the	the	DET
gojar-5991	43	20	momentum	momentum	NOUN
gojar-5991	43	21	:	:	PUNCT
gojar-5991	43	22	𝑚𝑘	𝑚𝑘	ADP
gojar-5991	43	23	=	=	SYM
gojar-5991	43	24	β	β	X
gojar-5991	43	25	∗	∗	X
gojar-5991	43	26	𝑚𝑘−1	𝑚𝑘−1	PROPN
gojar-5991	43	27	+	+	CCONJ
gojar-5991	43	28	(	(	PUNCT
gojar-5991	43	29	1	1	NUM
gojar-5991	43	30	−	−	PROPN
gojar-5991	43	31	𝛽	𝛽	NOUN
gojar-5991	43	32	)	)	PUNCT
gojar-5991	43	33	∗	∗	NOUN
gojar-5991	43	34	∇𝑓(𝑥𝑘	∇𝑓(𝑥𝑘	X
gojar-5991	43	35	)	)	PUNCT
gojar-5991	43	36	global	global	ADJ
gojar-5991	43	37	online	online	ADJ
gojar-5991	43	38	journal	journal	PROPN
gojar-5991	43	39	of	of	ADP
gojar-5991	43	40	academic	academic	ADJ
gojar-5991	43	41	research	research	NOUN
gojar-5991	43	42	(	(	PUNCT
gojar-5991	43	43	gojar	gojar	NOUN
gojar-5991	43	44	)	)	PUNCT
gojar-5991	43	45	,	,	PUNCT
gojar-5991	43	46	vol	vol	NOUN
gojar-5991	43	47	.	.	PROPN
gojar-5991	43	48	4	4	NUM
gojar-5991	43	49	,	,	PUNCT
gojar-5991	43	50	no	no	INTJ
gojar-5991	43	51	.	.	NOUN
gojar-5991	43	52	1	1	NUM
gojar-5991	43	53	february	february	NOUN
gojar-5991	43	54	2025	2025	NUM
gojar-5991	43	55	29	29	NUM
gojar-5991	43	56	f.	f.	NOUN
gojar-5991	43	57	apply	apply	VERB
gojar-5991	43	58	gradient	gradient	ADJ
gojar-5991	43	59	technique	technique	NOUN
gojar-5991	43	60	on	on	ADP
gojar-5991	43	61	the	the	DET
gojar-5991	43	62	momentum	momentum	NOUN
gojar-5991	43	63	:	:	PUNCT
gojar-5991	43	64	�	�	PROPN
gojar-5991	43	65	̂	̂	NOUN
gojar-5991	43	66	�	�	NOUN
gojar-5991	43	67	𝑘	𝑘	NOUN
gojar-5991	43	68	=	=	PUNCT
gojar-5991	43	69	𝑚𝑘	𝑚𝑘	ADP
gojar-5991	43	70	∗	∗	NOUN
gojar-5991	43	71	(	(	PUNCT
gojar-5991	43	72	1	1	NUM
gojar-5991	43	73	−	−	PROPN
gojar-5991	43	74	γ	γ	PROPN
gojar-5991	43	75	∗	∗	X
gojar-5991	43	76	|∇𝑓(𝑥𝑘)|	|∇𝑓(𝑥𝑘)|	ADJ
gojar-5991	43	77	|𝑚𝑘|	|𝑚𝑘|	PROPN
gojar-5991	43	78	)	)	PUNCT
gojar-5991	43	79	g.	g.	PROPN
gojar-5991	43	80	update	update	NOUN
gojar-5991	43	81	parameters	parameter	NOUN
gojar-5991	43	82	or	or	CCONJ
gojar-5991	43	83	variable	variable	ADJ
gojar-5991	43	84	values	value	NOUN
gojar-5991	43	85	of	of	ADP
gojar-5991	43	86	the	the	DET
gojar-5991	43	87	convex	convex	NOUN
gojar-5991	43	88	function	function	NOUN
gojar-5991	43	89	:	:	PUNCT
gojar-5991	43	90	𝑥𝑘	𝑥𝑘	X
gojar-5991	43	91	=	=	PUNCT
gojar-5991	43	92	𝑥𝑘−1	𝑥𝑘−1	PROPN
gojar-5991	43	93	−	−	PROPN
gojar-5991	43	94	𝛼𝑘	𝛼𝑘	NOUN
gojar-5991	43	95	∗	∗	PRON
gojar-5991	43	96	�	�	PROPN
gojar-5991	43	97	̂	̂	NOUN
gojar-5991	43	98	�	�	PROPN
gojar-5991	43	99	𝑘	𝑘	DET
gojar-5991	43	100	h.	h.	NOUN
gojar-5991	43	101	continue	continue	VERB
gojar-5991	43	102	steps	step	NOUN
gojar-5991	43	103	b	b	PROPN
gojar-5991	43	104	to	to	ADP
gojar-5991	43	105	g	g	NOUN
gojar-5991	43	106	till	till	SCONJ
gojar-5991	43	107	the	the	DET
gojar-5991	43	108	specified	specified	ADJ
gojar-5991	43	109	number	number	NOUN
gojar-5991	43	110	of	of	ADP
gojar-5991	43	111	iterations	iteration	NOUN
gojar-5991	43	112	.	.	PUNCT
gojar-5991	44	1	convergence	convergence	NOUN
gojar-5991	44	2	criteria	criterion	NOUN
gojar-5991	44	3	:	:	PUNCT
gojar-5991	44	4	amgt	amgt	NOUN
gojar-5991	44	5	converges	converge	VERB
gojar-5991	44	6	when	when	SCONJ
gojar-5991	44	7	the	the	DET
gojar-5991	44	8	following	follow	VERB
gojar-5991	44	9	conditions	condition	NOUN
gojar-5991	44	10	are	be	AUX
gojar-5991	44	11	met	meet	VERB
gojar-5991	44	12	:	:	PUNCT
gojar-5991	44	13			NOUN
gojar-5991	44	14	parameter	parameter	PROPN
gojar-5991	44	15	convergence	convergence	NOUN
gojar-5991	44	16	:	:	PUNCT
gojar-5991	44	17	the	the	DET
gojar-5991	44	18	updates	update	NOUN
gojar-5991	44	19	to	to	ADP
gojar-5991	44	20	the	the	DET
gojar-5991	44	21	parameters	parameter	NOUN
gojar-5991	44	22	(	(	PUNCT
gojar-5991	44	23	𝑥𝑘	𝑥𝑘	X
gojar-5991	44	24	)	)	PUNCT
gojar-5991	44	25	become	become	VERB
gojar-5991	44	26	negligible	negligible	ADJ
gojar-5991	44	27	,	,	PUNCT
gojar-5991	44	28	i.e.	i.e.	X
gojar-5991	44	29	,	,	PUNCT
gojar-5991	44	30	|𝑥𝑘	|𝑥𝑘	PRON
gojar-5991	44	31	−	−	X
gojar-5991	44	32	𝑥𝑘−1|	𝑥𝑘−1|	X
gojar-5991	44	33	<	<	X
gojar-5991	44	34	tolerance	tolerance	NOUN
gojar-5991	44	35	.	.	PUNCT
gojar-5991	45	1			X
gojar-5991	45	2	objective	objective	ADJ
gojar-5991	45	3	function	function	NOUN
gojar-5991	45	4	convergence	convergence	NOUN
gojar-5991	45	5	:	:	PUNCT
gojar-5991	45	6	the	the	DET
gojar-5991	45	7	change	change	NOUN
gojar-5991	45	8	in	in	ADP
gojar-5991	45	9	the	the	DET
gojar-5991	45	10	objective	objective	ADJ
gojar-5991	45	11	function	function	NOUN
gojar-5991	45	12	value	value	NOUN
gojar-5991	45	13	becomes	become	VERB
gojar-5991	45	14	negligible	negligible	ADJ
gojar-5991	45	15	,	,	PUNCT
gojar-5991	45	16	i.e.	i.e.	X
gojar-5991	45	17	,	,	PUNCT
gojar-5991	45	18	|𝑓(𝑥𝑘	|𝑓(𝑥𝑘	PROPN
gojar-5991	45	19	)	)	PUNCT
gojar-5991	46	1	−	−	PROPN
gojar-5991	46	2	𝑓(𝑥𝑘−1)|<tolerance	𝑓(𝑥𝑘−1)|<tolerance	PROPN
gojar-5991	46	3	.	.	PUNCT
gojar-5991	46	4			PRON
gojar-5991	47	1	maximum	maximum	ADJ
gojar-5991	47	2	iterations	iteration	NOUN
gojar-5991	47	3	:	:	PUNCT
gojar-5991	47	4	the	the	DET
gojar-5991	47	5	algorithm	algorithm	NOUN
gojar-5991	47	6	reaches	reach	VERB
gojar-5991	47	7	the	the	DET
gojar-5991	47	8	specified	specified	ADJ
gojar-5991	47	9	number	number	NOUN
gojar-5991	47	10	of	of	ADP
gojar-5991	47	11	iterations	iteration	NOUN
gojar-5991	47	12	.	.	PUNCT
gojar-5991	48	1	inputs	input	NOUN
gojar-5991	48	2	or	or	CCONJ
gojar-5991	48	3	initial	initial	ADJ
gojar-5991	48	4	parameters	parameter	NOUN
gojar-5991	48	5	:	:	PUNCT
gojar-5991	48	6			VERB
gojar-5991	49	1	𝛼0this	𝛼0this	PRON
gojar-5991	49	2	is	be	AUX
gojar-5991	49	3	the	the	DET
gojar-5991	49	4	initial	initial	ADJ
gojar-5991	49	5	learning	learning	NOUN
gojar-5991	49	6	rate	rate	NOUN
gojar-5991	49	7			PROPN
gojar-5991	49	8	τ	τ	PROPN
gojar-5991	49	9	:	:	PUNCT
gojar-5991	49	10	this	this	PRON
gojar-5991	49	11	is	be	AUX
gojar-5991	49	12	the	the	DET
gojar-5991	49	13	learning	learning	NOUN
gojar-5991	49	14	rate	rate	NOUN
gojar-5991	49	15	decay	decay	NOUN
gojar-5991	49	16	rate	rate	NOUN
gojar-5991	49	17			NOUN
gojar-5991	49	18	β	β	NOUN
gojar-5991	49	19	:	:	PUNCT
gojar-5991	49	20	this	this	PRON
gojar-5991	49	21	is	be	AUX
gojar-5991	49	22	the	the	DET
gojar-5991	49	23	momentum	momentum	NOUN
gojar-5991	49	24	coefficient	coefficient	NOUN
gojar-5991	49	25			PROPN
gojar-5991	49	26	γ	γ	X
gojar-5991	49	27	:	:	PUNCT
gojar-5991	49	28	this	this	PRON
gojar-5991	49	29	is	be	AUX
gojar-5991	49	30	the	the	DET
gojar-5991	49	31	gradient	gradient	ADJ
gojar-5991	49	32	technique	technique	NOUN
gojar-5991	49	33	coefficient	coefficient	NOUN
gojar-5991	49	34	rational	rational	ADJ
gojar-5991	49	35	behind	behind	ADP
gojar-5991	49	36	each	each	PRON
gojar-5991	49	37	of	of	ADP
gojar-5991	49	38	the	the	DET
gojar-5991	49	39	input	input	NOUN
gojar-5991	49	40	parameters	parameter	NOUN
gojar-5991	49	41	:	:	PUNCT
gojar-5991	49	42	o	o	X
gojar-5991	49	43	the	the	DET
gojar-5991	49	44	adaptive	adaptive	ADJ
gojar-5991	49	45	learning	learning	NOUN
gojar-5991	49	46	rate	rate	NOUN
gojar-5991	49	47	(	(	PUNCT
gojar-5991	49	48	𝛼𝑘	𝛼𝑘	NOUN
gojar-5991	49	49	)	)	PUNCT
gojar-5991	49	50	helps	help	VERB
gojar-5991	49	51	the	the	DET
gojar-5991	49	52	method	method	NOUN
gojar-5991	49	53	to	to	PART
gojar-5991	49	54	converge	converge	VERB
gojar-5991	49	55	faster	fast	ADV
gojar-5991	49	56	.	.	PUNCT
gojar-5991	50	1	o	o	X
gojar-5991	50	2	the	the	DET
gojar-5991	50	3	momentum	momentum	NOUN
gojar-5991	50	4	(	(	PUNCT
gojar-5991	50	5	𝑚𝑘	𝑚𝑘	NOUN
gojar-5991	50	6	)	)	PUNCT
gojar-5991	50	7	helps	help	VERB
gojar-5991	50	8	to	to	PART
gojar-5991	50	9	escape	escape	VERB
gojar-5991	50	10	local	local	ADJ
gojar-5991	50	11	minima	minima	NOUN
gojar-5991	50	12	.	.	PUNCT
gojar-5991	51	1	o	o	PROPN
gojar-5991	52	1	while	while	SCONJ
gojar-5991	52	2	the	the	DET
gojar-5991	52	3	gradient	gradient	NOUN
gojar-5991	52	4	technique	technique	NOUN
gojar-5991	52	5	(	(	PUNCT
gojar-5991	52	6	𝛾	𝛾	NOUN
gojar-5991	52	7	)	)	PUNCT
gojar-5991	52	8	prevents	prevent	VERB
gojar-5991	52	9	overshooting	overshoot	VERB
gojar-5991	52	10	.	.	PUNCT
gojar-5991	53	1	implementation	implementation	NOUN
gojar-5991	53	2	in	in	ADP
gojar-5991	53	3	maple	maple	NOUN
gojar-5991	53	4	24	24	NUM
gojar-5991	53	5	:	:	PUNCT
gojar-5991	53	6	the	the	DET
gojar-5991	53	7	amgt	amgt	NOUN
gojar-5991	53	8	method	method	NOUN
gojar-5991	53	9	is	be	AUX
gojar-5991	53	10	implemented	implement	VERB
gojar-5991	53	11	using	use	VERB
gojar-5991	53	12	maple	maple	PROPN
gojar-5991	53	13	24	24	NUM
gojar-5991	53	14	's	's	PART
gojar-5991	53	15	symbolic	symbolic	ADJ
gojar-5991	53	16	and	and	CCONJ
gojar-5991	53	17	numerical	numerical	ADJ
gojar-5991	53	18	capabilities	capability	NOUN
gojar-5991	53	19	.	.	PUNCT
gojar-5991	54	1	scripts	script	NOUN
gojar-5991	54	2	for	for	ADP
gojar-5991	54	3	gd	gd	PROPN
gojar-5991	54	4	and	and	CCONJ
gojar-5991	54	5	cg	cg	NOUN
gojar-5991	54	6	are	be	AUX
gojar-5991	54	7	also	also	ADV
gojar-5991	54	8	developed	develop	VERB
gojar-5991	54	9	for	for	ADP
gojar-5991	54	10	comparison	comparison	NOUN
gojar-5991	54	11	.	.	PUNCT
gojar-5991	55	1	the	the	DET
gojar-5991	55	2	functions	function	NOUN
gojar-5991	55	3	are	be	AUX
gojar-5991	55	4	defined	define	VERB
gojar-5991	55	5	,	,	PUNCT
gojar-5991	55	6	and	and	CCONJ
gojar-5991	55	7	step	step	NOUN
gojar-5991	55	8	sizes	size	NOUN
gojar-5991	55	9	are	be	AUX
gojar-5991	55	10	chosen	choose	VERB
gojar-5991	55	11	dynamically	dynamically	ADV
gojar-5991	55	12	for	for	ADP
gojar-5991	55	13	each	each	DET
gojar-5991	55	14	method	method	NOUN
gojar-5991	55	15	to	to	PART
gojar-5991	55	16	ensure	ensure	VERB
gojar-5991	55	17	fair	fair	ADJ
gojar-5991	55	18	benchmarking	benchmarking	NOUN
gojar-5991	55	19	.	.	PUNCT
gojar-5991	56	1	performance	performance	NOUN
gojar-5991	56	2	metrics	metric	NOUN
gojar-5991	56	3	:	:	PUNCT
gojar-5991	56	4			PRON
gojar-5991	56	5	convergence	convergence	NOUN
gojar-5991	56	6	rate	rate	NOUN
gojar-5991	56	7	:	:	PUNCT
gojar-5991	56	8	number	number	NOUN
gojar-5991	56	9	of	of	ADP
gojar-5991	56	10	iterations	iteration	NOUN
gojar-5991	56	11	required	require	VERB
gojar-5991	56	12	to	to	PART
gojar-5991	56	13	reach	reach	VERB
gojar-5991	56	14	a	a	DET
gojar-5991	56	15	predefined	predefine	VERB
gojar-5991	56	16	tolerance	tolerance	NOUN
gojar-5991	56	17	.	.	PUNCT
gojar-5991	57	1	global	global	ADJ
gojar-5991	57	2	online	online	PROPN
gojar-5991	57	3	journal	journal	PROPN
gojar-5991	57	4	of	of	ADP
gojar-5991	57	5	academic	academic	ADJ
gojar-5991	57	6	research	research	NOUN
gojar-5991	57	7	(	(	PUNCT
gojar-5991	57	8	gojar	gojar	NOUN
gojar-5991	57	9	)	)	PUNCT
gojar-5991	57	10	,	,	PUNCT
gojar-5991	57	11	vol	vol	NOUN
gojar-5991	57	12	.	.	PROPN
gojar-5991	57	13	4	4	NUM
gojar-5991	57	14	,	,	PUNCT
gojar-5991	57	15	no	no	INTJ
gojar-5991	57	16	.	.	NOUN
gojar-5991	57	17	1	1	NUM
gojar-5991	57	18	february	february	NOUN
gojar-5991	57	19	2025	2025	NUM
gojar-5991	57	20	30	30	NUM
gojar-5991	57	21			NOUN
gojar-5991	57	22	computation	computation	NOUN
gojar-5991	57	23	time	time	NOUN
gojar-5991	57	24	:	:	PUNCT
gojar-5991	57	25	time	time	NOUN
gojar-5991	57	26	taken	take	VERB
gojar-5991	57	27	to	to	PART
gojar-5991	57	28	converge	converge	VERB
gojar-5991	57	29	.	.	PUNCT
gojar-5991	58	1			PRON
gojar-5991	58	2	accuracy	accuracy	NOUN
gojar-5991	58	3	:	:	PUNCT
gojar-5991	58	4	proximity	proximity	NOUN
gojar-5991	58	5	of	of	ADP
gojar-5991	58	6	the	the	DET
gojar-5991	58	7	solution	solution	NOUN
gojar-5991	58	8	to	to	ADP
gojar-5991	58	9	the	the	DET
gojar-5991	58	10	true	true	ADJ
gojar-5991	58	11	minimum	minimum	NOUN
gojar-5991	58	12	.	.	PUNCT
gojar-5991	59	1	mathematical	mathematical	ADJ
gojar-5991	59	2	properties	property	NOUN
gojar-5991	59	3	of	of	ADP
gojar-5991	59	4	non	non	ADJ
gojar-5991	59	5	-	-	ADJ
gojar-5991	59	6	convex	convex	ADJ
gojar-5991	59	7	functions	function	NOUN
gojar-5991	59	8			PRON
gojar-5991	59	9	local	local	ADJ
gojar-5991	59	10	minima	minima	NOUN
gojar-5991	59	11	and	and	CCONJ
gojar-5991	59	12	maxima	maxima	PROPN
gojar-5991	59	13	:	:	PUNCT
gojar-5991	59	14	a	a	DET
gojar-5991	59	15	non	non	ADJ
gojar-5991	59	16	-	-	ADJ
gojar-5991	59	17	convex	convex	ADJ
gojar-5991	59	18	function	function	NOUN
gojar-5991	59	19	can	can	AUX
gojar-5991	59	20	have	have	VERB
gojar-5991	59	21	multiple	multiple	ADJ
gojar-5991	59	22	local	local	ADJ
gojar-5991	59	23	minima	minima	NOUN
gojar-5991	59	24	and	and	CCONJ
gojar-5991	59	25	maxima	maxima	NOUN
gojar-5991	59	26	,	,	PUNCT
gojar-5991	59	27	unlike	unlike	ADP
gojar-5991	59	28	convex	convex	NOUN
gojar-5991	59	29	functions	function	NOUN
gojar-5991	59	30	,	,	PUNCT
gojar-5991	59	31	which	which	PRON
gojar-5991	59	32	have	have	VERB
gojar-5991	59	33	at	at	ADP
gojar-5991	59	34	most	most	ADJ
gojar-5991	59	35	one	one	NUM
gojar-5991	59	36	global	global	ADJ
gojar-5991	59	37	minimum	minimum	NOUN
gojar-5991	59	38	.	.	PUNCT
gojar-5991	60	1			PRON
gojar-5991	60	2	optimization	optimization	NOUN
gojar-5991	60	3	challenges	challenge	NOUN
gojar-5991	60	4	:	:	PUNCT
gojar-5991	60	5	non	non	ADJ
gojar-5991	60	6	-	-	ADJ
gojar-5991	60	7	convex	convex	ADJ
gojar-5991	60	8	optimization	optimization	NOUN
gojar-5991	60	9	is	be	AUX
gojar-5991	60	10	harder	hard	ADJ
gojar-5991	60	11	than	than	ADP
gojar-5991	60	12	convex	convex	VERB
gojar-5991	60	13	optimization	optimization	NOUN
gojar-5991	60	14	because	because	SCONJ
gojar-5991	60	15	local	local	ADJ
gojar-5991	60	16	search	search	NOUN
gojar-5991	60	17	algorithms	algorithm	NOUN
gojar-5991	60	18	like	like	ADP
gojar-5991	60	19	gradient	gradient	ADJ
gojar-5991	60	20	descent	descent	NOUN
gojar-5991	60	21	may	may	AUX
gojar-5991	60	22	converge	converge	VERB
gojar-5991	60	23	to	to	ADP
gojar-5991	60	24	local	local	ADJ
gojar-5991	60	25	minima	minima	NOUN
gojar-5991	60	26	instead	instead	ADV
gojar-5991	60	27	of	of	ADP
gojar-5991	60	28	the	the	DET
gojar-5991	60	29	global	global	ADJ
gojar-5991	60	30	minimum	minimum	NOUN
gojar-5991	60	31	.	.	PUNCT
gojar-5991	61	1	(	(	PUNCT
gojar-5991	61	2	bertsekas	bertsekas	PROPN
gojar-5991	61	3	,	,	PUNCT
gojar-5991	61	4	1999	1999	NUM
gojar-5991	61	5	;	;	PUNCT
gojar-5991	61	6	boyd	boyd	PROPN
gojar-5991	61	7	&	&	CCONJ
gojar-5991	61	8	vandenberghe	vandenberghe	PROPN
gojar-5991	61	9	,	,	PUNCT
gojar-5991	61	10	2004	2004	NUM
gojar-5991	61	11	)	)	PUNCT
gojar-5991	61	12			PRON
gojar-5991	61	13	non	non	PROPN
gojar-5991	61	14	-	-	NOUN
gojar-5991	61	15	convexity	convexity	NOUN
gojar-5991	61	16	in	in	ADP
gojar-5991	61	17	higher	high	ADJ
gojar-5991	61	18	dimensions	dimension	NOUN
gojar-5991	61	19	:	:	PUNCT
gojar-5991	61	20	non	non	ADJ
gojar-5991	61	21	-	-	NOUN
gojar-5991	61	22	convexity	convexity	NOUN
gojar-5991	61	23	is	be	AUX
gojar-5991	61	24	not	not	PART
gojar-5991	61	25	limited	limit	VERB
gojar-5991	61	26	to	to	ADP
gojar-5991	61	27	functions	function	NOUN
gojar-5991	61	28	of	of	ADP
gojar-5991	61	29	one	one	NUM
gojar-5991	61	30	variable	variable	NOUN
gojar-5991	61	31	.	.	PUNCT
gojar-5991	62	1	a	a	DET
gojar-5991	62	2	function	function	NOUN
gojar-5991	62	3	f(x	f(x	PROPN
gojar-5991	62	4	)	)	PUNCT
gojar-5991	62	5	defined	define	VERB
gojar-5991	62	6	on	on	ADP
gojar-5991	62	7	a	a	DET
gojar-5991	62	8	higherdimensional	higherdimensional	ADJ
gojar-5991	62	9	space	space	NOUN
gojar-5991	62	10	𝑅𝑛	𝑅𝑛	PROPN
gojar-5991	62	11	can	can	AUX
gojar-5991	62	12	be	be	AUX
gojar-5991	62	13	non	non	ADJ
gojar-5991	62	14	-	-	ADJ
gojar-5991	62	15	convex	convex	ADJ
gojar-5991	62	16	if	if	SCONJ
gojar-5991	62	17	it	it	PRON
gojar-5991	62	18	does	do	AUX
gojar-5991	62	19	not	not	PART
gojar-5991	62	20	satisfy	satisfy	VERB
gojar-5991	62	21	the	the	DET
gojar-5991	62	22	convexity	convexity	NOUN
gojar-5991	62	23	condition	condition	NOUN
gojar-5991	62	24	for	for	ADP
gojar-5991	62	25	all	all	DET
gojar-5991	62	26	pairs	pair	NOUN
gojar-5991	62	27	of	of	ADP
gojar-5991	62	28	points	point	NOUN
gojar-5991	62	29	in	in	ADP
gojar-5991	62	30	its	its	PRON
gojar-5991	62	31	domain	domain	NOUN
gojar-5991	62	32	(	(	PUNCT
gojar-5991	62	33	bertsekas	bertseka	VERB
gojar-5991	62	34	,	,	PUNCT
gojar-5991	62	35	1999	1999	NUM
gojar-5991	62	36	;	;	PUNCT
gojar-5991	62	37	boyd	boyd	PROPN
gojar-5991	62	38	&	&	CCONJ
gojar-5991	62	39	vandenberghe	vandenberghe	PROPN
gojar-5991	62	40	,	,	PUNCT
gojar-5991	62	41	2004	2004	NUM
gojar-5991	62	42	)	)	PUNCT
gojar-5991	62	43	.	.	PUNCT
gojar-5991	63	1	iii	iii	NUM
gojar-5991	63	2	results	result	NOUN
gojar-5991	63	3	theorems	theorem	VERB
gojar-5991	63	4	3.1	3.1	NUM
gojar-5991	63	5	.	.	PUNCT
gojar-5991	64	1	convergence	convergence	NOUN
gojar-5991	64	2	of	of	ADP
gojar-5991	64	3	amgt	amgt	NOUN
gojar-5991	64	4	let	let	VERB
gojar-5991	64	5	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	64	6	,	,	PUNCT
gojar-5991	64	7	𝑦	𝑦	X
gojar-5991	64	8	)	)	PUNCT
gojar-5991	64	9	be	be	VERB
gojar-5991	64	10	a	a	DET
gojar-5991	64	11	continuously	continuously	ADV
gojar-5991	64	12	differentiable	differentiable	ADJ
gojar-5991	64	13	function	function	NOUN
gojar-5991	64	14	,	,	PUNCT
gojar-5991	64	15	and	and	CCONJ
gojar-5991	64	16	let	let	VERB
gojar-5991	64	17	(	(	PUNCT
gojar-5991	64	18	𝑥𝑘	𝑥𝑘	NOUN
gojar-5991	64	19	,	,	PUNCT
gojar-5991	64	20	𝑦𝑘	𝑦𝑘	AUX
gojar-5991	64	21	)	)	PUNCT
gojar-5991	64	22	be	be	VERB
gojar-5991	64	23	the	the	DET
gojar-5991	64	24	sequence	sequence	NOUN
gojar-5991	64	25	generated	generate	VERB
gojar-5991	64	26	by	by	ADP
gojar-5991	64	27	the	the	DET
gojar-5991	64	28	adaptive	adaptive	ADJ
gojar-5991	64	29	momentum	momentum	NOUN
gojar-5991	64	30	gradient	gradient	NOUN
gojar-5991	64	31	technique	technique	NOUN
gojar-5991	64	32	(	(	PUNCT
gojar-5991	64	33	agmt	agmt	PROPN
gojar-5991	64	34	)	)	PUNCT
gojar-5991	64	35	.	.	PUNCT
gojar-5991	65	1	assume	assume	VERB
gojar-5991	65	2	that	that	SCONJ
gojar-5991	65	3			ADJ
gojar-5991	65	4	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	65	5	,	,	PUNCT
gojar-5991	65	6	𝑦	𝑦	NOUN
gojar-5991	65	7	)	)	PUNCT
gojar-5991	65	8	convex	convex	NOUN
gojar-5991	65	9			VERB
gojar-5991	65	10	the	the	DET
gojar-5991	65	11	learning	learning	NOUN
gojar-5991	65	12	rate	rate	NOUN
gojar-5991	65	13	𝑎𝑘	𝑎𝑘	PROPN
gojar-5991	65	14	satisfies	satisfy	VERB
gojar-5991	65	15	∑	∑	PUNCT
gojar-5991	65	16	𝑎𝑘	𝑎𝑘	PROPN
gojar-5991	65	17	=	=	PUNCT
gojar-5991	66	1	∞∞	∞∞	NOUN
gojar-5991	66	2	𝑘=1	𝑘=1	PROPN
gojar-5991	66	3	and	and	CCONJ
gojar-5991	66	4	∑	∑	ADV
gojar-5991	66	5	𝑎𝑘	𝑎𝑘	ADP
gojar-5991	66	6	2	2	NUM
gojar-5991	66	7	<	<	X
gojar-5991	66	8	∞∞	∞∞	NOUN
gojar-5991	66	9	𝑘=1	𝑘=1	X
gojar-5991	66	10	.	.	PUNCT
gojar-5991	67	1			VERB
gojar-5991	67	2	the	the	DET
gojar-5991	67	3	momentum	momentum	NOUN
gojar-5991	67	4	coefficient	coefficient	NOUN
gojar-5991	67	5	𝛽	𝛽	NOUN
gojar-5991	67	6	satisfies	satisfy	VERB
gojar-5991	67	7	0	0	PUNCT
gojar-5991	67	8	<	<	X
gojar-5991	67	9	𝛽	𝛽	X
gojar-5991	67	10	<	<	X
gojar-5991	67	11	1	1	NUM
gojar-5991	67	12			VERB
gojar-5991	67	13	the	the	DET
gojar-5991	67	14	gradient	gradient	ADJ
gojar-5991	67	15	threshold	threshold	NOUN
gojar-5991	67	16	coefficient	coefficient	NOUN
gojar-5991	67	17	𝛾	𝛾	ADP
gojar-5991	67	18	satisfies	satisfie	NOUN
gojar-5991	67	19	0	0	PUNCT
gojar-5991	67	20	<	<	X
gojar-5991	67	21	𝛾	𝛾	X
gojar-5991	67	22	<	<	X
gojar-5991	67	23	1	1	NUM
gojar-5991	67	24	then	then	ADV
gojar-5991	67	25	the	the	DET
gojar-5991	67	26	sequence	sequence	NOUN
gojar-5991	67	27	(	(	PUNCT
gojar-5991	67	28	𝑥𝑘	𝑥𝑘	PROPN
gojar-5991	67	29	,	,	PUNCT
gojar-5991	67	30	𝑦𝑘	𝑦𝑘	AUX
gojar-5991	67	31	)	)	PUNCT
gojar-5991	67	32	converges	converge	VERB
gojar-5991	67	33	to	to	ADP
gojar-5991	67	34	a	a	DET
gojar-5991	67	35	stationary	stationary	ADJ
gojar-5991	67	36	point	point	NOUN
gojar-5991	67	37	of	of	ADP
gojar-5991	67	38	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	67	39	,	,	PUNCT
gojar-5991	67	40	𝑦	𝑦	NOUN
gojar-5991	67	41	)	)	PUNCT
gojar-5991	67	42	proof	proof	NOUN
gojar-5991	67	43	.	.	PUNCT
gojar-5991	68	1	using	use	VERB
gojar-5991	68	2	the	the	DET
gojar-5991	68	3	convexity	convexity	NOUN
gojar-5991	68	4	of	of	ADP
gojar-5991	68	5	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	68	6	,	,	PUNCT
gojar-5991	68	7	𝑦	𝑦	NOUN
gojar-5991	68	8	)	)	PUNCT
gojar-5991	68	9	and	and	CCONJ
gojar-5991	68	10	the	the	DET
gojar-5991	68	11	update	update	NOUN
gojar-5991	68	12	rule	rule	NOUN
gojar-5991	68	13	of	of	ADP
gojar-5991	68	14	amgt	amgt	NOUN
gojar-5991	68	15	,	,	PUNCT
gojar-5991	68	16	we	we	PRON
gojar-5991	68	17	can	can	AUX
gojar-5991	68	18	establish	establish	VERB
gojar-5991	68	19	the	the	DET
gojar-5991	68	20	above	above	ADJ
gojar-5991	68	21	theorem	theorem	NOUN
gojar-5991	68	22	.	.	PUNCT
gojar-5991	69	1	by	by	ADP
gojar-5991	69	2	the	the	DET
gojar-5991	69	3	convexity	convexity	NOUN
gojar-5991	69	4	0f	0f	NOUN
gojar-5991	69	5	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	69	6	,	,	PUNCT
gojar-5991	69	7	𝑦	𝑦	X
gojar-5991	69	8	)	)	PUNCT
gojar-5991	69	9	we	we	PRON
gojar-5991	69	10	have	have	VERB
gojar-5991	69	11	the	the	DET
gojar-5991	69	12	convex	convex	PROPN
gojar-5991	69	13	inequality	inequality	NOUN
gojar-5991	69	14	:	:	PUNCT
gojar-5991	69	15	𝑓(𝑥𝑘+1	𝑓(𝑥𝑘+1	NOUN
gojar-5991	69	16	,	,	PUNCT
gojar-5991	69	17	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	69	18	)	)	PUNCT
gojar-5991	69	19	≤	≤	NOUN
gojar-5991	69	20	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	69	21	,	,	PUNCT
gojar-5991	69	22	𝑦𝑘	𝑦𝑘	X
gojar-5991	69	23	)	)	PUNCT
gojar-5991	69	24	+	+	CCONJ
gojar-5991	70	1	〈	〈	PROPN
gojar-5991	70	2	∇𝑓(𝑥𝑘	∇𝑓(𝑥𝑘	NUM
gojar-5991	70	3	,	,	PUNCT
gojar-5991	70	4	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	70	5	)	)	PUNCT
gojar-5991	70	6	,	,	PUNCT
gojar-5991	70	7	(	(	PUNCT
gojar-5991	70	8	𝑥𝑘+1	𝑥𝑘+1	NUM
gojar-5991	70	9	−	−	NOUN
gojar-5991	70	10	𝑥𝑘	𝑥𝑘	NOUN
gojar-5991	70	11	,	,	PUNCT
gojar-5991	70	12	𝑦𝑘+1	𝑦𝑘+1	PROPN
gojar-5991	70	13	−	−	NOUN
gojar-5991	70	14	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	70	15	)	)	PUNCT
gojar-5991	70	16	〉	〉	NOUN
gojar-5991	70	17	global	global	ADJ
gojar-5991	70	18	online	online	PROPN
gojar-5991	70	19	journal	journal	PROPN
gojar-5991	70	20	of	of	ADP
gojar-5991	70	21	academic	academic	ADJ
gojar-5991	70	22	research	research	NOUN
gojar-5991	70	23	(	(	PUNCT
gojar-5991	70	24	gojar	gojar	NOUN
gojar-5991	70	25	)	)	PUNCT
gojar-5991	70	26	,	,	PUNCT
gojar-5991	70	27	vol	vol	NOUN
gojar-5991	70	28	.	.	PROPN
gojar-5991	70	29	4	4	NUM
gojar-5991	70	30	,	,	PUNCT
gojar-5991	70	31	no	no	INTJ
gojar-5991	70	32	.	.	NOUN
gojar-5991	70	33	1	1	NUM
gojar-5991	70	34	february	february	NOUN
gojar-5991	70	35	2025	2025	NUM
gojar-5991	70	36	31	31	NUM
gojar-5991	70	37	the	the	DET
gojar-5991	70	38	essence	essence	NOUN
gojar-5991	70	39	of	of	ADP
gojar-5991	70	40	the	the	DET
gojar-5991	70	41	convex	convex	NOUN
gojar-5991	70	42	inequality	inequality	NOUN
gojar-5991	70	43	is	be	AUX
gojar-5991	70	44	that	that	SCONJ
gojar-5991	70	45	the	the	DET
gojar-5991	70	46	value	value	NOUN
gojar-5991	70	47	of	of	ADP
gojar-5991	70	48	the	the	DET
gojar-5991	70	49	function	function	NOUN
gojar-5991	70	50	at	at	ADP
gojar-5991	70	51	the	the	DET
gojar-5991	70	52	new	new	ADJ
gojar-5991	70	53	point	point	NOUN
gojar-5991	70	54	(	(	PUNCT
gojar-5991	70	55	𝑥𝑘+1	𝑥𝑘+1	NOUN
gojar-5991	70	56	,	,	PUNCT
gojar-5991	70	57	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	70	58	)	)	PUNCT
gojar-5991	70	59	is	be	AUX
gojar-5991	70	60	always	always	ADV
gojar-5991	70	61	less	less	ADJ
gojar-5991	70	62	than	than	ADP
gojar-5991	70	63	the	the	DET
gojar-5991	70	64	value	value	NOUN
gojar-5991	70	65	of	of	ADP
gojar-5991	70	66	the	the	DET
gojar-5991	70	67	function	function	NOUN
gojar-5991	70	68	at	at	ADP
gojar-5991	70	69	the	the	DET
gojar-5991	70	70	current	current	ADJ
gojar-5991	70	71	point	point	NOUN
gojar-5991	70	72	(	(	PUNCT
gojar-5991	70	73	𝑥𝑘	𝑥𝑘	NOUN
gojar-5991	70	74	,	,	PUNCT
gojar-5991	70	75	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	70	76	)	)	PUNCT
gojar-5991	70	77	plus	plus	CCONJ
gojar-5991	70	78	a	a	DET
gojar-5991	70	79	linear	linear	ADJ
gojar-5991	70	80	approximation	approximation	NOUN
gojar-5991	70	81	based	base	VERB
gojar-5991	70	82	on	on	ADP
gojar-5991	70	83	the	the	DET
gojar-5991	70	84	gradient	gradient	NOUN
gojar-5991	70	85	.	.	PUNCT
gojar-5991	71	1	in	in	ADP
gojar-5991	71	2	the	the	DET
gojar-5991	71	3	proposed	propose	VERB
gojar-5991	71	4	amgt	amgt	NOUN
gojar-5991	71	5	method	method	NOUN
gojar-5991	71	6	,	,	PUNCT
gojar-5991	71	7	the	the	DET
gojar-5991	71	8	update	update	NOUN
gojar-5991	71	9	involves	involve	VERB
gojar-5991	71	10	a	a	DET
gojar-5991	71	11	combination	combination	NOUN
gojar-5991	71	12	of	of	ADP
gojar-5991	71	13	the	the	DET
gojar-5991	71	14	current	current	ADJ
gojar-5991	71	15	gradient	gradient	NOUN
gojar-5991	71	16	and	and	CCONJ
gojar-5991	71	17	previous	previous	ADJ
gojar-5991	71	18	momentum	momentum	NOUN
gojar-5991	71	19	.	.	PUNCT
gojar-5991	72	1	thus	thus	ADV
gojar-5991	72	2	,	,	PUNCT
gojar-5991	72	3	we	we	PRON
gojar-5991	72	4	can	can	AUX
gojar-5991	72	5	express	express	VERB
gojar-5991	72	6	the	the	DET
gojar-5991	72	7	parameters	parameter	NOUN
gojar-5991	72	8	as	as	ADP
gojar-5991	72	9	𝑥𝑘+1	𝑥𝑘+1	NOUN
gojar-5991	72	10	=	=	SYM
gojar-5991	72	11	𝑥𝑘	𝑥𝑘	NOUN
gojar-5991	72	12	−	−	X
gojar-5991	72	13	𝛼𝑘	𝛼𝑘	PRON
gojar-5991	72	14	�	�	PROPN
gojar-5991	72	15	̂	̂	NOUN
gojar-5991	72	16	�	�	NOUN
gojar-5991	72	17	𝑘	𝑘	NOUN
gojar-5991	72	18	and	and	CCONJ
gojar-5991	72	19	𝑦𝑘+1	𝑦𝑘+1	NUM
gojar-5991	72	20	=	=	SYM
gojar-5991	72	21	𝑦𝑘	𝑦𝑘	ADP
gojar-5991	72	22	−	−	PROPN
gojar-5991	72	23	𝛼𝑘	𝛼𝑘	NOUN
gojar-5991	72	24	�	�	PROPN
gojar-5991	72	25	̂	̂	NOUN
gojar-5991	72	26	�	�	NOUN
gojar-5991	72	27	𝑘	𝑘	PROPN
gojar-5991	72	28	where	where	SCONJ
gojar-5991	72	29	�	�	PROPN
gojar-5991	72	30	̂	̂	NOUN
gojar-5991	72	31	�	�	NOUN
gojar-5991	72	32	𝑘	𝑘	NOUN
gojar-5991	72	33	is	be	AUX
gojar-5991	72	34	the	the	DET
gojar-5991	72	35	momentum	momentum	NOUN
gojar-5991	72	36	term	term	NOUN
gojar-5991	72	37	after	after	ADP
gojar-5991	72	38	gradient	gradient	ADJ
gojar-5991	72	39	thresholding	thresholding	NOUN
gojar-5991	72	40	.	.	PUNCT
gojar-5991	73	1	applying	apply	VERB
gojar-5991	73	2	the	the	DET
gojar-5991	73	3	update	update	NOUN
gojar-5991	73	4	of	of	ADP
gojar-5991	73	5	amgt	amgt	NOUN
gojar-5991	73	6	on	on	ADP
gojar-5991	73	7	the	the	DET
gojar-5991	73	8	convex	convex	NOUN
gojar-5991	73	9	inequality	inequality	NOUN
gojar-5991	73	10	,	,	PUNCT
gojar-5991	73	11	we	we	PRON
gojar-5991	73	12	have	have	VERB
gojar-5991	73	13	;	;	PUNCT
gojar-5991	73	14	𝑓(𝑥𝑘+1	𝑓(𝑥𝑘+1	NOUN
gojar-5991	73	15	,	,	PUNCT
gojar-5991	73	16	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	73	17	)	)	PUNCT
gojar-5991	73	18	≤	≤	NOUN
gojar-5991	73	19	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	73	20	,	,	PUNCT
gojar-5991	73	21	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	73	22	)	)	PUNCT
gojar-5991	73	23	–	–	PUNCT
gojar-5991	73	24	𝑎𝑘〈∇𝑓(𝑥𝑘	𝑎𝑘〈∇𝑓(𝑥𝑘	ADJ
gojar-5991	73	25	,	,	PUNCT
gojar-5991	73	26	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	73	27	)	)	PUNCT
gojar-5991	73	28	,	,	PUNCT
gojar-5991	73	29	�	�	PROPN
gojar-5991	73	30	̂	̂	NOUN
gojar-5991	73	31	�	�	NOUN
gojar-5991	73	32	𝑘	𝑘	PRON
gojar-5991	73	33	〉	〉	NOUN
gojar-5991	73	34	+	+	CCONJ
gojar-5991	73	35	𝑎𝑘	𝑎𝑘	PROPN
gojar-5991	73	36	2‖∇𝑓(𝑥𝑘	2‖∇𝑓(𝑥𝑘	NUM
gojar-5991	73	37	,	,	PUNCT
gojar-5991	73	38	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	73	39	the	the	DET
gojar-5991	73	40	second	second	ADJ
gojar-5991	73	41	term	term	NOUN
gojar-5991	73	42	in	in	ADP
gojar-5991	73	43	the	the	DET
gojar-5991	73	44	above	above	ADJ
gojar-5991	73	45	inequality	inequality	NOUN
gojar-5991	73	46	𝑎𝑘〈∇𝑓(𝑥𝑘	𝑎𝑘〈∇𝑓(𝑥𝑘	NOUN
gojar-5991	73	47	,	,	PUNCT
gojar-5991	73	48	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	73	49	)	)	PUNCT
gojar-5991	73	50	,	,	PUNCT
gojar-5991	73	51	�	�	PROPN
gojar-5991	73	52	̂	̂	NOUN
gojar-5991	73	53	�	�	NOUN
gojar-5991	73	54	𝑘	𝑘	PRON
gojar-5991	73	55	〉	〉	NOUN
gojar-5991	73	56	is	be	AUX
gojar-5991	73	57	the	the	DET
gojar-5991	73	58	gradient	gradient	ADJ
gojar-5991	73	59	update	update	NOUN
gojar-5991	73	60	using	use	VERB
gojar-5991	73	61	the	the	DET
gojar-5991	73	62	momentum	momentum	NOUN
gojar-5991	73	63	�	�	NOUN
gojar-5991	73	64	̂	̂	NOUN
gojar-5991	73	65	�	�	NOUN
gojar-5991	73	66	𝑘.	𝑘.	NOUN
gojar-5991	73	67	if	if	SCONJ
gojar-5991	73	68	�	�	PROPN
gojar-5991	73	69	̂	̂	SYM
gojar-5991	73	70	�	�	NOUN
gojar-5991	73	71	𝑘points	𝑘point	NOUN
gojar-5991	73	72	in	in	ADP
gojar-5991	73	73	the	the	DET
gojar-5991	73	74	same	same	ADJ
gojar-5991	73	75	direction	direction	NOUN
gojar-5991	73	76	as	as	ADP
gojar-5991	73	77	∇𝑓(𝑥𝑘	∇𝑓(𝑥𝑘	PROPN
gojar-5991	73	78	,	,	PUNCT
gojar-5991	73	79	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	73	80	)	)	PUNCT
gojar-5991	73	81	,	,	PUNCT
gojar-5991	73	82	the	the	DET
gojar-5991	73	83	term	term	NOUN
gojar-5991	73	84	will	will	AUX
gojar-5991	73	85	be	be	AUX
gojar-5991	73	86	negative	negative	ADJ
gojar-5991	73	87	which	which	PRON
gojar-5991	73	88	helps	help	VERB
gojar-5991	73	89	reduce	reduce	VERB
gojar-5991	73	90	the	the	DET
gojar-5991	73	91	function	function	NOUN
gojar-5991	73	92	value	value	NOUN
gojar-5991	73	93	(	(	PUNCT
gojar-5991	73	94	minimization	minimization	NOUN
gojar-5991	73	95	)	)	PUNCT
gojar-5991	73	96	.	.	PUNCT
gojar-5991	74	1	now	now	ADV
gojar-5991	74	2	since	since	SCONJ
gojar-5991	74	3	�	�	PROPN
gojar-5991	74	4	̂	̂	X
gojar-5991	74	5	�	�	NOUN
gojar-5991	74	6	𝑘	𝑘	PRON
gojar-5991	74	7	is	be	AUX
gojar-5991	74	8	calculated	calculate	VERB
gojar-5991	74	9	using	use	VERB
gojar-5991	74	10	both	both	CCONJ
gojar-5991	74	11	the	the	DET
gojar-5991	74	12	gradient	gradient	NOUN
gojar-5991	74	13	and	and	CCONJ
gojar-5991	74	14	momentum	momentum	NOUN
gojar-5991	74	15	,	,	PUNCT
gojar-5991	74	16	when	when	SCONJ
gojar-5991	74	17	we	we	PRON
gojar-5991	74	18	apply	apply	VERB
gojar-5991	74	19	the	the	DET
gojar-5991	74	20	gradient	gradient	NOUN
gojar-5991	74	21	threshold	threshold	NOUN
gojar-5991	74	22	,	,	PUNCT
gojar-5991	74	23	we	we	PRON
gojar-5991	74	24	have	have	AUX
gojar-5991	74	25	:	:	PUNCT
gojar-5991	74	26	�	�	PROPN
gojar-5991	74	27	̂	̂	NOUN
gojar-5991	74	28	�	�	PROPN
gojar-5991	74	29	𝑘	𝑘	PROPN
gojar-5991	74	30	≈	≈	PROPN
gojar-5991	74	31	∇𝑓(𝑥𝑘	∇𝑓(𝑥𝑘	PROPN
gojar-5991	74	32	,	,	PUNCT
gojar-5991	74	33	𝑦𝑘	𝑦𝑘	X
gojar-5991	74	34	)	)	PUNCT
gojar-5991	74	35	(	(	PUNCT
gojar-5991	74	36	for	for	ADP
gojar-5991	74	37	large	large	ADJ
gojar-5991	74	38	gradients	gradient	NOUN
gojar-5991	74	39	)	)	PUNCT
gojar-5991	74	40	therefore	therefore	ADV
gojar-5991	74	41	,	,	PUNCT
gojar-5991	74	42	we	we	PRON
gojar-5991	74	43	can	can	AUX
gojar-5991	74	44	simplify	simplify	VERB
gojar-5991	74	45	the	the	DET
gojar-5991	74	46	function	function	NOUN
gojar-5991	74	47	update	update	NOUN
gojar-5991	74	48	to	to	ADP
gojar-5991	74	49	:	:	PUNCT
gojar-5991	74	50	𝑓(𝑥𝑘+1	𝑓(𝑥𝑘+1	NOUN
gojar-5991	74	51	,	,	PUNCT
gojar-5991	74	52	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	74	53	)	)	PUNCT
gojar-5991	74	54	≤	≤	NOUN
gojar-5991	74	55	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	74	56	,	,	PUNCT
gojar-5991	74	57	𝑦𝑘)-𝑎𝑘‖∇𝑓(𝑥𝑘	𝑦𝑘)-𝑎𝑘‖∇𝑓(𝑥𝑘	NUM
gojar-5991	74	58	,	,	PUNCT
gojar-5991	74	59	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	74	60	+	+	CCONJ
gojar-5991	74	61	𝑎𝑘	𝑎𝑘	PROPN
gojar-5991	74	62	2‖∇𝑓(𝑥𝑘	2‖∇𝑓(𝑥𝑘	NUM
gojar-5991	74	63	,	,	PUNCT
gojar-5991	74	64	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	74	65	next	next	ADV
gojar-5991	74	66	,	,	PUNCT
gojar-5991	74	67	by	by	ADP
gojar-5991	74	68	using	use	VERB
gojar-5991	74	69	the	the	DET
gojar-5991	74	70	assumptions	assumption	NOUN
gojar-5991	74	71	of	of	ADP
gojar-5991	74	72	𝑎𝑘	𝑎𝑘	NOUN
gojar-5991	74	73	and	and	CCONJ
gojar-5991	74	74	𝛽	𝛽	NOUN
gojar-5991	74	75	we	we	PRON
gojar-5991	74	76	can	can	AUX
gojar-5991	74	77	simplify	simplify	VERB
gojar-5991	74	78	the	the	DET
gojar-5991	74	79	right	right	ADJ
gojar-5991	74	80	-	-	PUNCT
gojar-5991	74	81	hand	hand	NOUN
gojar-5991	74	82	side	side	NOUN
gojar-5991	74	83	to	to	PART
gojar-5991	74	84	obtain	obtain	VERB
gojar-5991	74	85	the	the	DET
gojar-5991	74	86	:	:	PUNCT
gojar-5991	74	87	𝑓(𝑥𝑘+1	𝑓(𝑥𝑘+1	NOUN
gojar-5991	74	88	,	,	PUNCT
gojar-5991	74	89	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	74	90	)	)	PUNCT
gojar-5991	74	91	≤	≤	NOUN
gojar-5991	74	92	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	74	93	,	,	PUNCT
gojar-5991	74	94	𝑦𝑘)𝑎𝑘	𝑦𝑘)𝑎𝑘	NUM
gojar-5991	74	95	2	2	NUM
gojar-5991	74	96	‖∇𝑓(𝑥𝑘	‖∇𝑓(𝑥𝑘	NOUN
gojar-5991	74	97	,	,	PUNCT
gojar-5991	74	98	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	74	99	to	to	PART
gojar-5991	74	100	prove	prove	VERB
gojar-5991	74	101	the	the	DET
gojar-5991	74	102	convergence	convergence	NOUN
gojar-5991	74	103	of	of	ADP
gojar-5991	74	104	the	the	DET
gojar-5991	74	105	amgt	amgt	NOUN
gojar-5991	74	106	,	,	PUNCT
gojar-5991	74	107	when	when	SCONJ
gojar-5991	74	108	we	we	PRON
gojar-5991	74	109	sum	sum	VERB
gojar-5991	74	110	both	both	DET
gojar-5991	74	111	sides	side	NOUN
gojar-5991	74	112	of	of	ADP
gojar-5991	74	113	the	the	DET
gojar-5991	74	114	inequality	inequality	NOUN
gojar-5991	74	115	over	over	ADP
gojar-5991	74	116	all	all	DET
gojar-5991	74	117	the	the	DET
gojar-5991	74	118	iterations	iteration	NOUN
gojar-5991	74	119	𝑘	𝑘	PRON
gojar-5991	74	120	𝑓(𝑥𝑘+1	𝑓(𝑥𝑘+1	NOUN
gojar-5991	74	121	,	,	PUNCT
gojar-5991	74	122	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	74	123	)	)	PUNCT
gojar-5991	74	124	≤	≤	NOUN
gojar-5991	74	125	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	74	126	,	,	PUNCT
gojar-5991	74	127	𝑦𝑘)𝑎𝑘	𝑦𝑘)𝑎𝑘	NUM
gojar-5991	74	128	2	2	NUM
gojar-5991	74	129	‖∇𝑓(𝑥𝑘	‖∇𝑓(𝑥𝑘	NOUN
gojar-5991	74	130	,	,	PUNCT
gojar-5991	74	131	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	74	132	∑	∑	PUNCT
gojar-5991	74	133	𝑓(𝑥𝑘+1	𝑓(𝑥𝑘+1	NOUN
gojar-5991	74	134	,	,	PUNCT
gojar-5991	74	135	𝑦𝑘+1	𝑦𝑘+1	NOUN
gojar-5991	74	136	)	)	PUNCT
gojar-5991	74	137	𝑚	𝑚	ADP
gojar-5991	74	138	𝑘=1	𝑘=1	SYM
gojar-5991	74	139	−	−	PROPN
gojar-5991	74	140	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	74	141	,	,	PUNCT
gojar-5991	74	142	𝑦𝑘	𝑦𝑘	NOUN
gojar-5991	74	143	)	)	PUNCT
gojar-5991	74	144	≤	≤	NOUN
gojar-5991	74	145	∑	∑	PUNCT
gojar-5991	74	146	−	−	PROPN
gojar-5991	74	147	𝑎𝑘	𝑎𝑘	PROPN
gojar-5991	74	148	2	2	NUM
gojar-5991	74	149	‖∇𝑓(𝑥𝑘	‖∇𝑓(𝑥𝑘	NOUN
gojar-5991	74	150	,	,	PUNCT
gojar-5991	74	151	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	74	152	𝑚	𝑚	ADP
gojar-5991	74	153	𝑘=1	𝑘=1	NOUN
gojar-5991	74	154	taking	take	VERB
gojar-5991	74	155	limit	limit	NOUN
gojar-5991	74	156	as	as	SCONJ
gojar-5991	74	157	k	k	PROPN
gojar-5991	74	158	tend	tend	VERB
gojar-5991	74	159	to	to	PART
gojar-5991	74	160	infinity	infinity	VERB
gojar-5991	74	161	,	,	PUNCT
gojar-5991	74	162	the	the	DET
gojar-5991	74	163	left	left	ADJ
gojar-5991	74	164	-	-	PUNCT
gojar-5991	74	165	hand	hand	NOUN
gojar-5991	74	166	side	side	NOUN
gojar-5991	74	167	is	be	AUX
gojar-5991	74	168	series	series	NOUN
gojar-5991	74	169	will	will	AUX
gojar-5991	74	170	simplify	simplify	VERB
gojar-5991	74	171	to	to	ADP
gojar-5991	74	172	:	:	PUNCT
gojar-5991	74	173	𝑓(𝑥∞	𝑓(𝑥∞	PROPN
gojar-5991	74	174	,	,	PUNCT
gojar-5991	74	175	𝑦∞	𝑦∞	PROPN
gojar-5991	74	176	)	)	PUNCT
gojar-5991	75	1	−	−	PROPN
gojar-5991	75	2	𝑓(𝑥0	𝑓(𝑥0	PROPN
gojar-5991	75	3	,	,	PUNCT
gojar-5991	75	4	𝑦𝑜	𝑦𝑜	NOUN
gojar-5991	75	5	)	)	PUNCT
gojar-5991	76	1	where	where	SCONJ
gojar-5991	76	2	(	(	PUNCT
gojar-5991	76	3	𝑥0	𝑥0	NOUN
gojar-5991	76	4	,	,	PUNCT
gojar-5991	76	5	𝑦𝑜	𝑦𝑜	NOUN
gojar-5991	76	6	)	)	PUNCT
gojar-5991	76	7	is	be	AUX
gojar-5991	76	8	the	the	DET
gojar-5991	76	9	point	point	NOUN
gojar-5991	76	10	where	where	SCONJ
gojar-5991	76	11	the	the	DET
gojar-5991	76	12	sequence	sequence	NOUN
gojar-5991	76	13	converges	converge	VERB
gojar-5991	76	14	.	.	PUNCT
gojar-5991	77	1	global	global	ADJ
gojar-5991	77	2	online	online	PROPN
gojar-5991	77	3	journal	journal	PROPN
gojar-5991	77	4	of	of	ADP
gojar-5991	77	5	academic	academic	ADJ
gojar-5991	77	6	research	research	NOUN
gojar-5991	77	7	(	(	PUNCT
gojar-5991	77	8	gojar	gojar	NOUN
gojar-5991	77	9	)	)	PUNCT
gojar-5991	77	10	,	,	PUNCT
gojar-5991	77	11	vol	vol	NOUN
gojar-5991	77	12	.	.	PROPN
gojar-5991	77	13	4	4	NUM
gojar-5991	77	14	,	,	PUNCT
gojar-5991	77	15	no	no	INTJ
gojar-5991	77	16	.	.	NOUN
gojar-5991	77	17	1	1	NUM
gojar-5991	77	18	february	february	NOUN
gojar-5991	77	19	2025	2025	NUM
gojar-5991	77	20	32	32	NUM
gojar-5991	77	21	thus	thus	ADV
gojar-5991	77	22	,	,	PUNCT
gojar-5991	77	23	we	we	PRON
gojar-5991	77	24	now	now	ADV
gojar-5991	77	25	have	have	VERB
gojar-5991	77	26	𝑓(𝑥𝑚	𝑓(𝑥𝑚	NUM
gojar-5991	77	27	,	,	PUNCT
gojar-5991	77	28	𝑦𝑚	𝑦𝑚	NOUN
gojar-5991	77	29	)	)	PUNCT
gojar-5991	77	30	−	−	PROPN
gojar-5991	77	31	𝑓(𝑥0	𝑓(𝑥0	PROPN
gojar-5991	77	32	,	,	PUNCT
gojar-5991	77	33	𝑦𝑜	𝑦𝑜	NOUN
gojar-5991	77	34	)	)	PUNCT
gojar-5991	77	35	≤	≤	NOUN
gojar-5991	77	36	−	−	ADP
gojar-5991	77	37	1	1	NUM
gojar-5991	77	38	2	2	NUM
gojar-5991	77	39	∑	∑	ADP
gojar-5991	77	40	𝑎𝑘‖∇𝑓(𝑥𝑘	𝑎𝑘‖∇𝑓(𝑥𝑘	PROPN
gojar-5991	77	41	,	,	PUNCT
gojar-5991	77	42	𝑦𝑘)‖2	𝑦𝑘)‖2	PROPN
gojar-5991	77	43	𝑚	𝑚	PROPN
gojar-5991	77	44	𝑘=1	𝑘=1	PROPN
gojar-5991	77	45	)	)	PUNCT
gojar-5991	77	46	therefore	therefore	ADV
gojar-5991	77	47	,	,	PUNCT
gojar-5991	77	48	since	since	SCONJ
gojar-5991	77	49	the	the	DET
gojar-5991	77	50	sum	sum	NOUN
gojar-5991	77	51	𝑎𝑘	𝑎𝑘	PROPN
gojar-5991	77	52	is	be	AUX
gojar-5991	77	53	infinite	infinite	ADJ
gojar-5991	77	54	,	,	PUNCT
gojar-5991	77	55	but	but	CCONJ
gojar-5991	77	56	the	the	PRON
gojar-5991	77	57	of	of	ADP
gojar-5991	77	58	𝛼𝑘	𝛼𝑘	NOUN
gojar-5991	77	59	2	2	NUM
gojar-5991	77	60	is	be	AUX
gojar-5991	77	61	finite	finite	ADJ
gojar-5991	77	62	∑	∑	ADV
gojar-5991	77	63	𝛼𝑘	𝛼𝑘	NOUN
gojar-5991	77	64	2𝑚	2𝑚	NOUN
gojar-5991	77	65	𝑘=1	𝑘=1	X
gojar-5991	77	66	<	<	X
gojar-5991	77	67	∞	∞	PROPN
gojar-5991	77	68	,	,	PUNCT
gojar-5991	77	69	the	the	DET
gojar-5991	77	70	implication	implication	NOUN
gojar-5991	77	71	of	of	ADP
gojar-5991	77	72	the	the	DET
gojar-5991	77	73	above	above	ADJ
gojar-5991	77	74	is	be	AUX
gojar-5991	77	75	that	that	SCONJ
gojar-5991	77	76	the	the	DET
gojar-5991	77	77	gradient	gradient	ADJ
gojar-5991	77	78	term	term	NOUN
gojar-5991	77	79	‖∇𝑓(𝑥𝑘	‖∇𝑓(𝑥𝑘	PROPN
gojar-5991	77	80	,	,	PUNCT
gojar-5991	77	81	𝑦𝑘)‖2must	𝑦𝑘)‖2must	PROPN
gojar-5991	77	82	converges	converge	VERB
gojar-5991	77	83	to	to	ADP
gojar-5991	77	84	0	0	NUM
gojar-5991	77	85	as	as	ADP
gojar-5991	77	86	𝑘	𝑘	DET
gojar-5991	77	87	approaches	approach	NOUN
gojar-5991	77	88	infinity	infinity	NOUN
gojar-5991	77	89	,	,	PUNCT
gojar-5991	77	90	thereby	thereby	ADV
gojar-5991	77	91	proving	prove	VERB
gojar-5991	77	92	the	the	DET
gojar-5991	77	93	convergence	convergence	NOUN
gojar-5991	77	94	to	to	ADP
gojar-5991	77	95	a	a	DET
gojar-5991	77	96	stationary	stationary	ADJ
gojar-5991	77	97	point	point	NOUN
gojar-5991	77	98	.	.	PUNCT
gojar-5991	78	1	thus	thus	ADV
gojar-5991	78	2	,	,	PUNCT
gojar-5991	78	3	the	the	DET
gojar-5991	78	4	sequence	sequence	NOUN
gojar-5991	78	5	(	(	PUNCT
gojar-5991	78	6	𝑥𝑘	𝑥𝑘	PROPN
gojar-5991	78	7	,	,	PUNCT
gojar-5991	78	8	𝑦𝑘	𝑦𝑘	AUX
gojar-5991	78	9	)	)	PUNCT
gojar-5991	78	10	generated	generate	VERB
gojar-5991	78	11	by	by	ADP
gojar-5991	78	12	the	the	DET
gojar-5991	78	13	proposed	propose	VERB
gojar-5991	78	14	amgt	amgt	NOUN
gojar-5991	78	15	converges	converge	VERB
gojar-5991	78	16	to	to	ADP
gojar-5991	78	17	a	a	DET
gojar-5991	78	18	stationary	stationary	ADJ
gojar-5991	78	19	point	point	NOUN
gojar-5991	78	20	of	of	ADP
gojar-5991	78	21	𝑓(𝑥𝑘	𝑓(𝑥𝑘	PROPN
gojar-5991	78	22	,	,	PUNCT
gojar-5991	78	23	𝑦𝑘	𝑦𝑘	X
gojar-5991	78	24	)	)	PUNCT
gojar-5991	78	25	proving	prove	VERB
gojar-5991	78	26	that	that	DET
gojar-5991	78	27	amgt	amgt	NOUN
gojar-5991	78	28	is	be	AUX
gojar-5991	78	29	a	a	DET
gojar-5991	78	30	convergent	convergent	NOUN
gojar-5991	78	31	optimization	optimization	NOUN
gojar-5991	78	32	method	method	NOUN
gojar-5991	78	33	for	for	ADP
gojar-5991	78	34	a	a	DET
gojar-5991	78	35	convex	convex	NOUN
gojar-5991	78	36	function	function	NOUN
gojar-5991	78	37	.	.	PUNCT
gojar-5991	79	1	iv	iv	X
gojar-5991	79	2	numerical	numerical	ADJ
gojar-5991	79	3	application	application	NOUN
gojar-5991	79	4	application	application	NOUN
gojar-5991	79	5	1	1	NUM
gojar-5991	79	6	:	:	PUNCT
gojar-5991	79	7	we	we	PRON
gojar-5991	79	8	shall	shall	AUX
gojar-5991	79	9	now	now	ADV
gojar-5991	79	10	implement	implement	VERB
gojar-5991	79	11	the	the	DET
gojar-5991	79	12	amgt	amgt	NOUN
gojar-5991	79	13	method	method	NOUN
gojar-5991	79	14	in	in	ADP
gojar-5991	79	15	maple	maple	NOUN
gojar-5991	79	16	24	24	NUM
gojar-5991	79	17	and	and	CCONJ
gojar-5991	79	18	compare	compare	VERB
gojar-5991	79	19	the	the	DET
gojar-5991	79	20	convergence	convergence	NOUN
gojar-5991	79	21	rate	rate	NOUN
gojar-5991	79	22	with	with	ADP
gojar-5991	79	23	that	that	PRON
gojar-5991	79	24	of	of	ADP
gojar-5991	79	25	the	the	DET
gojar-5991	79	26	gradient	gradient	ADJ
gojar-5991	79	27	descent	descent	NOUN
gojar-5991	79	28	method	method	NOUN
gojar-5991	79	29	and	and	CCONJ
gojar-5991	79	30	the	the	DET
gojar-5991	79	31	conjugate	conjugate	ADJ
gojar-5991	79	32	gradient	gradient	NOUN
gojar-5991	79	33	method	method	NOUN
gojar-5991	79	34	,	,	PUNCT
gojar-5991	79	35	using	use	VERB
gojar-5991	79	36	the	the	DET
gojar-5991	79	37	convex	convex	NOUN
gojar-5991	79	38	function	function	NOUN
gojar-5991	79	39	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	79	40	,	,	PUNCT
gojar-5991	79	41	𝑦	𝑦	NOUN
gojar-5991	79	42	)	)	PUNCT
gojar-5991	79	43	=	=	SYM
gojar-5991	79	44	𝑥2	𝑥2	NOUN
gojar-5991	79	45	−	−	PROPN
gojar-5991	79	46	2𝑥𝑦	2𝑥𝑦	NOUN
gojar-5991	80	1	+	+	CCONJ
gojar-5991	81	1	2𝑦2	2𝑦2	NUM
gojar-5991	81	2	+	+	NUM
gojar-5991	81	3	2𝑥	2𝑥	NOUN
gojar-5991	81	4	−	−	NOUN
gojar-5991	81	5	4𝑦	4𝑦	NUM
gojar-5991	81	6	+	+	X
gojar-5991	81	7	5	5	NUM
gojar-5991	81	8	.	.	PUNCT
gojar-5991	82	1	with	with	ADP
gojar-5991	82	2	the	the	DET
gojar-5991	82	3	three	three	NUM
gojar-5991	82	4	methods	method	NOUN
gojar-5991	82	5	using	use	VERB
gojar-5991	82	6	𝑥0	𝑥0	NOUN
gojar-5991	82	7	=	=	SYM
gojar-5991	82	8	2	2	NUM
gojar-5991	82	9	and	and	CCONJ
gojar-5991	82	10	𝑦0	𝑦0	NOUN
gojar-5991	82	11	=	=	SYM
gojar-5991	82	12	2	2	NUM
gojar-5991	82	13	,	,	PUNCT
gojar-5991	82	14	while	while	SCONJ
gojar-5991	82	15	amgt	amgt	PROPN
gojar-5991	82	16	uses	use	VERB
gojar-5991	82	17	𝑚0(𝑥	𝑚0(𝑥	PROPN
gojar-5991	82	18	,	,	PUNCT
gojar-5991	82	19	𝑦	𝑦	NOUN
gojar-5991	82	20	)	)	PUNCT
gojar-5991	82	21	=	=	SYM
gojar-5991	82	22	(	(	PUNCT
gojar-5991	82	23	1000,1000	1000,1000	NUM
gojar-5991	82	24	)	)	PUNCT
gojar-5991	82	25	,	,	PUNCT
gojar-5991	82	26	𝜏	𝜏	NOUN
gojar-5991	82	27	=	=	SYM
gojar-5991	82	28	50	50	NUM
gojar-5991	82	29	,	,	PUNCT
gojar-5991	82	30	𝛽	𝛽	NOUN
gojar-5991	82	31	=	=	SYM
gojar-5991	82	32	0.13	0.13	NUM
gojar-5991	82	33	,	,	PUNCT
gojar-5991	82	34	𝛾	𝛾	NOUN
gojar-5991	82	35	=	=	SYM
gojar-5991	82	36	0.1	0.1	NUM
gojar-5991	82	37	,	,	PUNCT
gojar-5991	82	38	we	we	PRON
gojar-5991	82	39	have	have	VERB
gojar-5991	82	40	the	the	DET
gojar-5991	82	41	following	follow	VERB
gojar-5991	82	42	results	result	NOUN
gojar-5991	82	43	;	;	PUNCT
gojar-5991	82	44	table	table	NOUN
gojar-5991	82	45	4.1	4.1	NUM
gojar-5991	82	46	:	:	PUNCT
gojar-5991	82	47	comparing	compare	VERB
gojar-5991	82	48	the	the	DET
gojar-5991	82	49	convergence	convergence	NOUN
gojar-5991	82	50	of	of	ADP
gojar-5991	82	51	amgt	amgt	NOUN
gojar-5991	82	52	,	,	PUNCT
gojar-5991	82	53	gd	gd	PROPN
gojar-5991	82	54	and	and	CCONJ
gojar-5991	82	55	cg	cg	NOUN
gojar-5991	82	56	methods	method	NOUN
gojar-5991	82	57	gradient	gradient	ADJ
gojar-5991	82	58	descent	descent	NOUN
gojar-5991	82	59	conjugate	conjugate	ADJ
gojar-5991	82	60	gradient	gradient	NOUN
gojar-5991	82	61	amgt	amgt	NOUN
gojar-5991	82	62	iteration	iteration	NOUN
gojar-5991	82	63	f(x	f(x	PROPN
gojar-5991	82	64	,	,	PUNCT
gojar-5991	82	65	y)at	y)at	PROPN
gojar-5991	82	66	𝛼	𝛼	PART
gojar-5991	82	67	=	=	SYM
gojar-5991	82	68	0.1	0.1	NUM
gojar-5991	82	69	f(x	f(x	PROPN
gojar-5991	82	70	,	,	PUNCT
gojar-5991	82	71	y)at	y)at	PROPN
gojar-5991	82	72	𝛼	𝛼	PART
gojar-5991	82	73	=	=	SYM
gojar-5991	82	74	0.1	0.1	NUM
gojar-5991	82	75	f(x	f(x	PROPN
gojar-5991	82	76	,	,	PUNCT
gojar-5991	83	1	y)at	y)at	PROPN
gojar-5991	83	2	𝛼0	𝛼0	PROPN
gojar-5991	83	3	=	=	NOUN
gojar-5991	83	4	0.1	0.1	NUM
gojar-5991	83	5	f(x	f(x	PROPN
gojar-5991	83	6	,	,	PUNCT
gojar-5991	83	7	y	y	NOUN
gojar-5991	83	8	)	)	PUNCT
gojar-5991	83	9	at	at	ADP
gojar-5991	83	10	𝛼0	𝛼0	PROPN
gojar-5991	83	11	=	=	PROPN
gojar-5991	83	12	0.2	0.2	NUM
gojar-5991	83	13	f(x	f(x	PROPN
gojar-5991	83	14	,	,	PUNCT
gojar-5991	83	15	y)at	y)at	PROPN
gojar-5991	83	16	𝛼0	𝛼0	PROPN
gojar-5991	83	17	=	=	NOUN
gojar-5991	83	18	0.3	0.3	NUM
gojar-5991	83	19	f(x	f(x	PROPN
gojar-5991	83	20	,	,	PUNCT
gojar-5991	83	21	y	y	NOUN
gojar-5991	83	22	)	)	PUNCT
gojar-5991	83	23	at	at	ADP
gojar-5991	83	24	𝛼0	𝛼0	PROPN
gojar-5991	83	25	=	=	PROPN
gojar-5991	83	26	0.4	0.4	NUM
gojar-5991	83	27	1	1	NUM
gojar-5991	83	28	4.627200	4.627200	NUM
gojar-5991	83	29	4.640000	4.640000	NUM
gojar-5991	83	30	3.734479	3.734479	NUM
gojar-5991	83	31	5.926594	5.926594	NUM
gojar-5991	83	32	11.576348	11.576348	NUM
gojar-5991	83	33	20.68373853	20.68373853	NUM
gojar-5991	83	34	10	10	NUM
gojar-5991	83	35	3.326152	3.326152	NUM
gojar-5991	83	36	3.161294	3.161294	NUM
gojar-5991	83	37	3.005368	3.005368	NUM
gojar-5991	83	38	3.059090	3.059090	NUM
gojar-5991	83	39	3.049195	3.049195	NUM
gojar-5991	83	40	14.79960452	14.79960452	NUM
gojar-5991	83	41	20	20	NUM
gojar-5991	83	42	3.056349	3.056349	NUM
gojar-5991	83	43	3.012675	3.012675	NUM
gojar-5991	83	44	3.001100	3.001100	NUM
gojar-5991	83	45	3.002134	3.002134	NUM
gojar-5991	83	46	3.000265	3.000265	NUM
gojar-5991	83	47	28.59793180	28.59793180	NUM
gojar-5991	83	48	30	30	NUM
gojar-5991	83	49	3.009737	3.009737	NUM
gojar-5991	83	50	3.000996	3.000996	NUM
gojar-5991	83	51	3.000224	3.000224	NUM
gojar-5991	83	52	3.000077	3.000077	NUM
gojar-5991	83	53	3.000001	3.000001	NUM
gojar-5991	83	54	58.61401015	58.61401015	NUM
gojar-5991	83	55	40	40	NUM
gojar-5991	83	56	3.001682	3.001682	NUM
gojar-5991	83	57	3.000078	3.000078	NUM
gojar-5991	83	58	3.000046	3.000046	NUM
gojar-5991	83	59	3.000003	3.000003	NUM
gojar-5991	83	60	3.000000	3.000000	NUM
gojar-5991	83	61	123.8269287	123.8269287	NUM
gojar-5991	83	62	50	50	NUM
gojar-5991	83	63	3.000291	3.000291	NUM
gojar-5991	83	64	3.000006	3.000006	NUM
gojar-5991	83	65	3.000009	3.000009	NUM
gojar-5991	83	66	3.000000	3.000000	NUM
gojar-5991	83	67	3.000000	3.000000	NUM
gojar-5991	83	68	265.508434	265.508434	NUM
gojar-5991	83	69	100	100	NUM
gojar-5991	83	70	3.000000	3.000000	NUM
gojar-5991	83	71	3.000000	3.000000	NUM
gojar-5991	83	72	3.000000	3.000000	NUM
gojar-5991	83	73	3.000000	3.000000	NUM
gojar-5991	83	74	3.000000	3.000000	NUM
gojar-5991	83	75	12709.93742	12709.93742	NUM
gojar-5991	83	76	the	the	DET
gojar-5991	83	77	results	result	NOUN
gojar-5991	83	78	show	show	VERB
gojar-5991	83	79	that	that	SCONJ
gojar-5991	83	80	the	the	DET
gojar-5991	83	81	new	new	ADJ
gojar-5991	83	82	amgt	amgt	NOUN
gojar-5991	83	83	is	be	AUX
gojar-5991	83	84	convergent	convergent	ADJ
gojar-5991	83	85	and	and	CCONJ
gojar-5991	83	86	converges	converge	VERB
gojar-5991	83	87	faster	fast	ADV
gojar-5991	83	88	with	with	ADP
gojar-5991	83	89	proper	proper	ADJ
gojar-5991	83	90	selection	selection	NOUN
gojar-5991	83	91	of	of	ADP
gojar-5991	83	92	the	the	DET
gojar-5991	83	93	momentum	momentum	NOUN
gojar-5991	83	94	coefficient	coefficient	NOUN
gojar-5991	83	95	,	,	PUNCT
gojar-5991	83	96	the	the	DET
gojar-5991	83	97	gradient	gradient	NOUN
gojar-5991	83	98	threshold	threshold	NOUN
gojar-5991	83	99	,	,	PUNCT
gojar-5991	83	100	and	and	CCONJ
gojar-5991	83	101	the	the	DET
gojar-5991	83	102	learning	learn	VERB
gojar-5991	83	103	rate	rate	NOUN
gojar-5991	83	104	decay	decay	NOUN
gojar-5991	83	105	rate	rate	NOUN
gojar-5991	83	106	,	,	PUNCT
gojar-5991	83	107	which	which	PRON
gojar-5991	83	108	are	be	AUX
gojar-5991	83	109	absent	absent	ADJ
gojar-5991	83	110	in	in	ADP
gojar-5991	83	111	the	the	DET
gojar-5991	83	112	gradient	gradient	ADJ
gojar-5991	83	113	descent	descent	NOUN
gojar-5991	83	114	and	and	CCONJ
gojar-5991	83	115	conjugate	conjugate	ADJ
gojar-5991	83	116	gradient	gradient	ADJ
gojar-5991	83	117	methods	method	NOUN
gojar-5991	83	118	.	.	PUNCT
gojar-5991	84	1	global	global	ADJ
gojar-5991	84	2	online	online	PROPN
gojar-5991	84	3	journal	journal	PROPN
gojar-5991	84	4	of	of	ADP
gojar-5991	84	5	academic	academic	ADJ
gojar-5991	84	6	research	research	NOUN
gojar-5991	84	7	(	(	PUNCT
gojar-5991	84	8	gojar	gojar	NOUN
gojar-5991	84	9	)	)	PUNCT
gojar-5991	84	10	,	,	PUNCT
gojar-5991	84	11	vol	vol	NOUN
gojar-5991	84	12	.	.	PROPN
gojar-5991	84	13	4	4	NUM
gojar-5991	84	14	,	,	PUNCT
gojar-5991	84	15	no	no	INTJ
gojar-5991	84	16	.	.	NOUN
gojar-5991	84	17	1	1	NUM
gojar-5991	84	18	february	february	PROPN
gojar-5991	84	19	2025	2025	NUM
gojar-5991	84	20	33	33	NUM
gojar-5991	84	21	fig	fig	NOUN
gojar-5991	84	22	4.1	4.1	NUM
gojar-5991	84	23	:	:	PUNCT
gojar-5991	84	24	convergence	convergence	NOUN
gojar-5991	84	25	chart	chart	NOUN
gojar-5991	84	26	of	of	ADP
gojar-5991	84	27	amgt	amgt	NOUN
gojar-5991	84	28	,	,	PUNCT
gojar-5991	84	29	gradient	gradient	ADJ
gojar-5991	84	30	descent	descent	NOUN
gojar-5991	84	31	,	,	PUNCT
gojar-5991	84	32	and	and	CCONJ
gojar-5991	84	33	conjugate	conjugate	ADJ
gojar-5991	84	34	gradient	gradient	ADJ
gojar-5991	84	35	methods	method	NOUN
gojar-5991	84	36	fig	fig	VERB
gojar-5991	84	37	4.2	4.2	NUM
gojar-5991	84	38	:	:	PUNCT
gojar-5991	84	39	chart	chart	NOUN
gojar-5991	84	40	for	for	ADP
gojar-5991	84	41	convergence	convergence	NOUN
gojar-5991	84	42	at	at	ADP
gojar-5991	84	43	different	different	ADJ
gojar-5991	84	44	learning	learning	NOUN
gojar-5991	84	45	rates	rate	NOUN
gojar-5991	84	46	fig	fig	VERB
gojar-5991	84	47	4.3	4.3	NUM
gojar-5991	84	48	:	:	PUNCT
gojar-5991	84	49	amgt	amgt	PROPN
gojar-5991	84	50	optimization	optimization	PROPN
gojar-5991	84	51	path	path	PROPN
gojar-5991	84	52	fig	fig	NOUN
gojar-5991	84	53	4.4	4.4	NUM
gojar-5991	84	54	:	:	PUNCT
gojar-5991	84	55	3d	3d	NUM
gojar-5991	84	56	plot	plot	NOUN
gojar-5991	84	57	of	of	ADP
gojar-5991	84	58	the	the	DET
gojar-5991	84	59	convex	convex	NOUN
gojar-5991	84	60	function	function	NOUN
gojar-5991	84	61	0	0	NUM
gojar-5991	84	62	1	1	NUM
gojar-5991	84	63	2	2	NUM
gojar-5991	84	64	3	3	NUM
gojar-5991	84	65	4	4	NUM
gojar-5991	84	66	5	5	NUM
gojar-5991	84	67	1	1	NUM
gojar-5991	84	68	2	2	NUM
gojar-5991	84	69	3	3	NUM
gojar-5991	84	70	4	4	NUM
gojar-5991	84	71	5	5	NUM
gojar-5991	84	72	6	6	NUM
gojar-5991	84	73	7	7	NUM
gojar-5991	84	74	convergence	convergence	NOUN
gojar-5991	84	75	chart	chart	NOUN
gojar-5991	84	76	gradient	gradient	ADJ
gojar-5991	84	77	descent	descent	NOUN
gojar-5991	84	78	conjugate	conjugate	ADJ
gojar-5991	84	79	gradient	gradient	NOUN
gojar-5991	84	80	amgt	amgt	NOUN
gojar-5991	84	81	0	0	NUM
gojar-5991	84	82	5	5	NUM
gojar-5991	84	83	10	10	NUM
gojar-5991	84	84	15	15	NUM
gojar-5991	84	85	1	1	NUM
gojar-5991	84	86	2	2	NUM
gojar-5991	84	87	3	3	NUM
gojar-5991	84	88	4	4	NUM
gojar-5991	84	89	5	5	NUM
gojar-5991	84	90	6	6	NUM
gojar-5991	84	91	7	7	NUM
gojar-5991	84	92	8	8	NUM
gojar-5991	84	93	chart	chart	NOUN
gojar-5991	84	94	for	for	ADP
gojar-5991	84	95	convergence	convergence	NOUN
gojar-5991	84	96	at	at	ADP
gojar-5991	84	97	different	different	ADJ
gojar-5991	84	98	learning	learning	NOUN
gojar-5991	84	99	rates	rate	NOUN
gojar-5991	84	100	α=0.1	α=0.1	NOUN
gojar-5991	84	101	α=0.2	α=0.2	VERB
gojar-5991	84	102	α=0.3	α=0.3	ADV
gojar-5991	84	103	global	global	ADJ
gojar-5991	84	104	online	online	ADJ
gojar-5991	84	105	journal	journal	PROPN
gojar-5991	84	106	of	of	ADP
gojar-5991	84	107	academic	academic	ADJ
gojar-5991	84	108	research	research	NOUN
gojar-5991	84	109	(	(	PUNCT
gojar-5991	84	110	gojar	gojar	NOUN
gojar-5991	84	111	)	)	PUNCT
gojar-5991	84	112	,	,	PUNCT
gojar-5991	84	113	vol	vol	NOUN
gojar-5991	84	114	.	.	PROPN
gojar-5991	84	115	4	4	NUM
gojar-5991	84	116	,	,	PUNCT
gojar-5991	84	117	no	no	INTJ
gojar-5991	84	118	.	.	NOUN
gojar-5991	84	119	1	1	NUM
gojar-5991	84	120	february	february	NOUN
gojar-5991	84	121	2025	2025	NUM
gojar-5991	84	122	34	34	NUM
gojar-5991	84	123	application	application	NOUN
gojar-5991	84	124	2	2	NUM
gojar-5991	84	125	:	:	PUNCT
gojar-5991	84	126	let	let	VERB
gojar-5991	84	127	us	we	PRON
gojar-5991	84	128	consider	consider	VERB
gojar-5991	84	129	the	the	DET
gojar-5991	84	130	production	production	NOUN
gojar-5991	84	131	cost	cost	NOUN
gojar-5991	84	132	function	function	NOUN
gojar-5991	84	133	𝐶(𝑥	𝐶(𝑥	PROPN
gojar-5991	84	134	,	,	PUNCT
gojar-5991	84	135	𝑦	𝑦	NOUN
gojar-5991	84	136	)	)	PUNCT
gojar-5991	84	137	=	=	SYM
gojar-5991	85	1	𝑎𝑥2	𝑎𝑥2	PROPN
gojar-5991	85	2	+	+	CCONJ
gojar-5991	85	3	𝑏𝑦2	𝑏𝑦2	PROPN
gojar-5991	86	1	+	+	CCONJ
gojar-5991	86	2	𝑐𝑥𝑦	𝑐𝑥𝑦	NOUN
gojar-5991	87	1	+	+	CCONJ
gojar-5991	87	2	𝑑	𝑑	PROPN
gojar-5991	87	3	where	where	SCONJ
gojar-5991	87	4	𝐶(𝑥	𝐶(𝑥	ADP
gojar-5991	87	5	,	,	PUNCT
gojar-5991	87	6	𝑦	𝑦	NOUN
gojar-5991	87	7	)	)	PUNCT
gojar-5991	87	8	is	be	AUX
gojar-5991	87	9	the	the	DET
gojar-5991	87	10	cost	cost	NOUN
gojar-5991	87	11	of	of	ADP
gojar-5991	87	12	producing	produce	VERB
gojar-5991	87	13	x	x	NOUN
gojar-5991	87	14	units	unit	NOUN
gojar-5991	87	15	of	of	ADP
gojar-5991	87	16	labour	labour	NOUN
gojar-5991	87	17	and	and	CCONJ
gojar-5991	87	18	y	y	PROPN
gojar-5991	87	19	units	unit	NOUN
gojar-5991	87	20	of	of	ADP
gojar-5991	87	21	capital	capital	NOUN
gojar-5991	87	22	and	and	CCONJ
gojar-5991	87	23	a	a	DET
gojar-5991	87	24	,	,	PUNCT
gojar-5991	87	25	b	b	PROPN
gojar-5991	87	26	,	,	PUNCT
gojar-5991	87	27	c	c	NOUN
gojar-5991	87	28	,	,	PUNCT
gojar-5991	87	29	and	and	CCONJ
gojar-5991	87	30	d	d	NOUN
gojar-5991	87	31	are	be	AUX
gojar-5991	87	32	constants	constant	NOUN
gojar-5991	87	33	.	.	PUNCT
gojar-5991	88	1	this	this	DET
gojar-5991	88	2	function	function	NOUN
gojar-5991	88	3	is	be	AUX
gojar-5991	88	4	convex	convex	ADJ
gojar-5991	88	5	if	if	SCONJ
gojar-5991	88	6	a>0	a>0	NOUN
gojar-5991	88	7	and	and	CCONJ
gojar-5991	88	8	b>0	b>0	X
gojar-5991	88	9	.	.	PUNCT
gojar-5991	89	1	supposed	suppose	VERB
gojar-5991	89	2	a=2	a=2	PROPN
gojar-5991	89	3	,	,	PUNCT
gojar-5991	89	4	b=4	b=4	PROPN
gojar-5991	89	5	,	,	PUNCT
gojar-5991	89	6	c=5	c=5	PROPN
gojar-5991	89	7	and	and	CCONJ
gojar-5991	89	8	d=9	d=9	PROPN
gojar-5991	89	9	then	then	ADV
gojar-5991	89	10	;	;	PUNCT
gojar-5991	89	11	𝐶(𝑥	𝐶(𝑥	PRON
gojar-5991	89	12	,	,	PUNCT
gojar-5991	89	13	𝑦	𝑦	NOUN
gojar-5991	89	14	)	)	PUNCT
gojar-5991	89	15	=	=	SYM
gojar-5991	89	16	2𝑥2	2𝑥2	NUM
gojar-5991	89	17	+	+	NUM
gojar-5991	89	18	4𝑦2	4𝑦2	NUM
gojar-5991	90	1	+	+	CCONJ
gojar-5991	90	2	5𝑥𝑦	5𝑥𝑦	ADJ
gojar-5991	90	3	+	+	CCONJ
gojar-5991	90	4	9	9	NUM
gojar-5991	90	5	and	and	CCONJ
gojar-5991	90	6	with	with	ADP
gojar-5991	90	7	the	the	DET
gojar-5991	90	8	three	three	NUM
gojar-5991	90	9	methods	method	NOUN
gojar-5991	90	10	using	use	VERB
gojar-5991	90	11	𝑥0	𝑥0	NOUN
gojar-5991	90	12	=	=	SYM
gojar-5991	90	13	2	2	NUM
gojar-5991	90	14	and	and	CCONJ
gojar-5991	90	15	𝑦0	𝑦0	NOUN
gojar-5991	90	16	=	=	SYM
gojar-5991	90	17	2	2	NUM
gojar-5991	90	18	,	,	PUNCT
gojar-5991	90	19	while	while	SCONJ
gojar-5991	90	20	amgt	amgt	PROPN
gojar-5991	90	21	uses	use	VERB
gojar-5991	90	22	𝑚0(𝑥	𝑚0(𝑥	PROPN
gojar-5991	90	23	,	,	PUNCT
gojar-5991	90	24	𝑦	𝑦	NOUN
gojar-5991	90	25	)	)	PUNCT
gojar-5991	90	26	=	=	SYM
gojar-5991	91	1	(	(	PUNCT
gojar-5991	91	2	1000,1000	1000,1000	NUM
gojar-5991	91	3	)	)	PUNCT
gojar-5991	91	4	,	,	PUNCT
gojar-5991	91	5	𝜏	𝜏	NOUN
gojar-5991	91	6	=	=	SYM
gojar-5991	91	7	50	50	NUM
gojar-5991	91	8	,	,	PUNCT
gojar-5991	91	9	𝛽	𝛽	NOUN
gojar-5991	91	10	=	=	SYM
gojar-5991	91	11	0.13	0.13	NUM
gojar-5991	91	12	,	,	PUNCT
gojar-5991	92	1	𝛾	𝛾	NOUN
gojar-5991	92	2	=	=	SYM
gojar-5991	92	3	0.1	0.1	NUM
gojar-5991	92	4	,	,	PUNCT
gojar-5991	92	5	we	we	PRON
gojar-5991	92	6	have	have	VERB
gojar-5991	92	7	the	the	DET
gojar-5991	92	8	following	follow	VERB
gojar-5991	92	9	results	result	NOUN
gojar-5991	92	10	:	:	PUNCT
gojar-5991	92	11	table	table	NOUN
gojar-5991	92	12	4.2	4.2	NUM
gojar-5991	92	13	:	:	PUNCT
gojar-5991	92	14	production	production	NOUN
gojar-5991	92	15	cost	cost	NOUN
gojar-5991	92	16	function	function	NOUN
gojar-5991	92	17	methods	method	NOUN
gojar-5991	92	18	gradient	gradient	ADJ
gojar-5991	92	19	descent	descent	NOUN
gojar-5991	92	20	conjugate	conjugate	ADJ
gojar-5991	92	21	gradient	gradient	NOUN
gojar-5991	92	22	amgt	amgt	NOUN
gojar-5991	92	23	iteration	iteration	NOUN
gojar-5991	92	24	c(x	c(x	NOUN
gojar-5991	92	25	,	,	PUNCT
gojar-5991	92	26	y)at	y)at	PROPN
gojar-5991	92	27	𝛼	𝛼	NOUN
gojar-5991	92	28	=	=	SYM
gojar-5991	92	29	0.1	0.1	NUM
gojar-5991	92	30	c(x	c(x	NOUN
gojar-5991	92	31	,	,	PUNCT
gojar-5991	92	32	y)at	y)at	PROPN
gojar-5991	92	33	𝛼	𝛼	NOUN
gojar-5991	92	34	=	=	SYM
gojar-5991	92	35	0.1	0.1	NUM
gojar-5991	92	36	c(x	c(x	NOUN
gojar-5991	92	37	,	,	PUNCT
gojar-5991	93	1	y)at	y)at	PROPN
gojar-5991	93	2	𝛼0	𝛼0	PROPN
gojar-5991	93	3	=	=	NOUN
gojar-5991	93	4	0.1	0.1	NUM
gojar-5991	93	5	c(x	c(x	NOUN
gojar-5991	93	6	,	,	PUNCT
gojar-5991	93	7	y	y	NOUN
gojar-5991	93	8	)	)	PUNCT
gojar-5991	93	9	at	at	ADP
gojar-5991	93	10	𝛼0	𝛼0	PROPN
gojar-5991	93	11	=	=	PROPN
gojar-5991	93	12	0.2	0.2	NUM
gojar-5991	93	13	c(x	c(x	NOUN
gojar-5991	93	14	,	,	PUNCT
gojar-5991	93	15	y)at	y)at	PROPN
gojar-5991	93	16	𝛼0	𝛼0	PROPN
gojar-5991	94	1	=	=	NOUN
gojar-5991	94	2	0.3	0.3	NUM
gojar-5991	94	3	1	1	NUM
gojar-5991	94	4	9.740000	9.740000	NUM
gojar-5991	94	5	9.920000	9.920000	NUM
gojar-5991	94	6	35.214992	35.214992	NUM
gojar-5991	94	7	293.4537351	293.4537351	NUM
gojar-5991	94	8	827.7162300	827.7162300	NUM
gojar-5991	94	9	10	10	NUM
gojar-5991	95	1	9.000489	9.000489	NUM
gojar-5991	95	2	9.013961	9.013961	NUM
gojar-5991	95	3	9.002196	9.002196	NUM
gojar-5991	95	4	10524.22355	10524.22355	NUM
gojar-5991	95	5	3.893467833	3.893467833	NUM
gojar-5991	95	6	*	*	SYM
gojar-5991	95	7	10	10	NUM
gojar-5991	95	8	^	^	SYM
gojar-5991	95	9	9	9	NUM
gojar-5991	95	10	20	20	NUM
gojar-5991	95	11	9.000091	9.000091	NUM
gojar-5991	95	12	9.001823	9.001823	NUM
gojar-5991	95	13	9.000617	9.000617	NUM
gojar-5991	95	14	574721.6499	574721.6499	NUM
gojar-5991	95	15	1.019715961	1.019715961	NUM
gojar-5991	95	16	*	*	SYM
gojar-5991	95	17	10	10	NUM
gojar-5991	95	18	^	^	SYM
gojar-5991	95	19	17	17	NUM
gojar-5991	95	20	30	30	NUM
gojar-5991	95	21	9.000017	9.000017	NUM
gojar-5991	95	22	9.000238	9.000238	NUM
gojar-5991	95	23	9.000174	9.000174	NUM
gojar-5991	95	24	31411103.41	31411103.41	NUM
gojar-5991	95	25	2.670679931	2.670679931	NUM
gojar-5991	95	26	*	*	SYM
gojar-5991	95	27	10	10	NUM
gojar-5991	95	28	^	^	SYM
gojar-5991	95	29	24	24	NUM
gojar-5991	95	30	40	40	NUM
gojar-5991	95	31	9.000003	9.000003	NUM
gojar-5991	95	32	9.000031	9.000031	NUM
gojar-5991	95	33	9.000049	9.000049	NUM
gojar-5991	95	34	1716782917	1716782917	NUM
gojar-5991	95	35	6.994625548	6.994625548	NUM
gojar-5991	95	36	*	*	SYM
gojar-5991	95	37	10	10	NUM
gojar-5991	95	38	^	^	SYM
gojar-5991	95	39	31	31	NUM
gojar-5991	95	40	50	50	NUM
gojar-5991	95	41	9.000001	9.000001	NUM
gojar-5991	95	42	9.000004	9.000004	NUM
gojar-5991	95	43	9.000014	9.000014	NUM
gojar-5991	95	44	93831291380	93831291380	NUM
gojar-5991	95	45	1.831922500	1.831922500	NUM
gojar-5991	95	46	*	*	SYM
gojar-5991	95	47	10	10	NUM
gojar-5991	95	48	^	^	SYM
gojar-5991	95	49	39	39	NUM
gojar-5991	95	50	100	100	NUM
gojar-5991	95	51	9.000000	9.000000	NUM
gojar-5991	95	52	9.000000	9.000000	NUM
gojar-5991	95	53	9.000000	9.000000	NUM
gojar-5991	95	54	4.576244859	4.576244859	NUM
gojar-5991	95	55	*	*	SYM
gojar-5991	95	56	10	10	NUM
gojar-5991	95	57	^	^	SYM
gojar-5991	95	58	19	19	NUM
gojar-5991	95	59	2.257460882	2.257460882	NUM
gojar-5991	95	60	*	*	NUM
gojar-5991	95	61	10	10	NUM
gojar-5991	95	62	^	^	SYM
gojar-5991	95	63	76	76	NUM
gojar-5991	95	64	fig	fig	NOUN
gojar-5991	95	65	4.5	4.5	NUM
gojar-5991	95	66	:	:	PUNCT
gojar-5991	95	67	convergence	convergence	NOUN
gojar-5991	95	68	chart	chart	NOUN
gojar-5991	95	69	0	0	NUM
gojar-5991	95	70	10	10	NUM
gojar-5991	95	71	20	20	NUM
gojar-5991	95	72	30	30	NUM
gojar-5991	95	73	40	40	NUM
gojar-5991	95	74	1	1	NUM
gojar-5991	95	75	2	2	NUM
gojar-5991	95	76	3	3	NUM
gojar-5991	95	77	4	4	NUM
gojar-5991	95	78	5	5	NUM
gojar-5991	95	79	6	6	NUM
gojar-5991	95	80	7	7	NUM
gojar-5991	95	81	convergence	convergence	NOUN
gojar-5991	95	82	chart	chart	NOUN
gojar-5991	95	83	gradient	gradient	ADJ
gojar-5991	95	84	descent	descent	NOUN
gojar-5991	95	85	conjugate	conjugate	ADJ
gojar-5991	95	86	gradient	gradient	NOUN
gojar-5991	95	87	amgt	amgt	NOUN
gojar-5991	95	88	global	global	ADJ
gojar-5991	95	89	online	online	PROPN
gojar-5991	95	90	journal	journal	PROPN
gojar-5991	95	91	of	of	ADP
gojar-5991	95	92	academic	academic	ADJ
gojar-5991	95	93	research	research	NOUN
gojar-5991	95	94	(	(	PUNCT
gojar-5991	95	95	gojar	gojar	NOUN
gojar-5991	95	96	)	)	PUNCT
gojar-5991	95	97	,	,	PUNCT
gojar-5991	95	98	vol	vol	NOUN
gojar-5991	95	99	.	.	PROPN
gojar-5991	96	1	4	4	NUM
gojar-5991	96	2	,	,	PUNCT
gojar-5991	96	3	no	no	INTJ
gojar-5991	96	4	.	.	NOUN
gojar-5991	96	5	1	1	NUM
gojar-5991	96	6	february	february	PROPN
gojar-5991	96	7	2025	2025	NUM
gojar-5991	96	8	35	35	NUM
gojar-5991	96	9	fig	fig	NOUN
gojar-5991	96	10	4.6	4.6	NUM
gojar-5991	96	11	:	:	PUNCT
gojar-5991	96	12	amgt	amgt	NOUN
gojar-5991	96	13	optimization	optimization	PROPN
gojar-5991	96	14	path	path	PROPN
gojar-5991	96	15	fig	fig	NOUN
gojar-5991	96	16	4.7	4.7	NUM
gojar-5991	96	17	:	:	PUNCT
gojar-5991	96	18	objective	objective	ADJ
gojar-5991	96	19	function	function	NOUN
gojar-5991	96	20	for	for	ADP
gojar-5991	96	21	production	production	NOUN
gojar-5991	96	22	in	in	ADP
gojar-5991	96	23	3d	3d	PROPN
gojar-5991	96	24	application	application	NOUN
gojar-5991	96	25	3	3	NUM
gojar-5991	96	26	:	:	PUNCT
gojar-5991	96	27	let	let	VERB
gojar-5991	96	28	us	we	PRON
gojar-5991	96	29	consider	consider	VERB
gojar-5991	96	30	the	the	DET
gojar-5991	96	31	energy	energy	NOUN
gojar-5991	96	32	consumption	consumption	NOUN
gojar-5991	96	33	function	function	NOUN
gojar-5991	96	34	𝐸(𝑇	𝐸(𝑇	PROPN
gojar-5991	96	35	,	,	PUNCT
gojar-5991	96	36	𝐻	𝐻	PROPN
gojar-5991	96	37	)	)	PUNCT
gojar-5991	96	38	=	=	SYM
gojar-5991	96	39	𝛼𝑇2	𝛼𝑇2	PROPN
gojar-5991	96	40	+	+	CCONJ
gojar-5991	96	41	𝛽𝐻2	𝛽𝐻2	PROPN
gojar-5991	96	42	+	+	NUM
gojar-5991	96	43	𝛾𝑇𝐻	𝛾𝑇𝐻	PROPN
gojar-5991	96	44	+	+	X
gojar-5991	96	45	𝜔	𝜔	ADP
gojar-5991	96	46	where	where	SCONJ
gojar-5991	96	47	𝐸(𝑇	𝐸(𝑇	NOUN
gojar-5991	96	48	,	,	PUNCT
gojar-5991	96	49	𝐻	𝐻	PROPN
gojar-5991	96	50	)	)	PUNCT
gojar-5991	96	51	is	be	AUX
gojar-5991	96	52	energy	energy	NOUN
gojar-5991	96	53	consumption	consumption	NOUN
gojar-5991	96	54	as	as	ADP
gojar-5991	96	55	a	a	DET
gojar-5991	96	56	function	function	NOUN
gojar-5991	96	57	of	of	ADP
gojar-5991	96	58	temperature	temperature	NOUN
gojar-5991	96	59	and	and	CCONJ
gojar-5991	96	60	humidity	humidity	NOUN
gojar-5991	96	61	while	while	SCONJ
gojar-5991	96	62	𝛼	𝛼	PROPN
gojar-5991	96	63	,	,	PUNCT
gojar-5991	96	64	𝛽	𝛽	NOUN
gojar-5991	96	65	,	,	PUNCT
gojar-5991	96	66	𝛾	𝛾	AUX
gojar-5991	96	67	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
gojar-5991	96	68	𝜔	𝜔	NOUN
gojar-5991	96	69	are	be	AUX
gojar-5991	96	70	constants	constant	NOUN
gojar-5991	96	71	.	.	PUNCT
gojar-5991	97	1	this	this	DET
gojar-5991	97	2	function	function	NOUN
gojar-5991	97	3	is	be	AUX
gojar-5991	97	4	convex	convex	ADJ
gojar-5991	97	5	if	if	SCONJ
gojar-5991	97	6	𝛼>0	𝛼>0	NOUN
gojar-5991	97	7	and	and	CCONJ
gojar-5991	97	8	𝛽>0	𝛽>0	PROPN
gojar-5991	97	9	.	.	PROPN
gojar-5991	97	10	supposed𝛼	supposed𝛼	PROPN
gojar-5991	98	1	=	=	PROPN
gojar-5991	98	2	5	5	NUM
gojar-5991	98	3	,	,	PUNCT
gojar-5991	98	4	𝛽	𝛽	NOUN
gojar-5991	98	5	=	=	SYM
gojar-5991	98	6	5	5	NUM
gojar-5991	98	7	,	,	PUNCT
gojar-5991	98	8	𝛾	𝛾	ADP
gojar-5991	98	9	=	=	NUM
gojar-5991	98	10	7	7	NUM
gojar-5991	98	11	and	and	CCONJ
gojar-5991	98	12	𝜔	𝜔	PRON
gojar-5991	98	13	=	=	NUM
gojar-5991	98	14	10	10	NUM
gojar-5991	98	15	then	then	ADV
gojar-5991	98	16	;	;	PUNCT
gojar-5991	98	17	𝐸(𝑇	𝐸(𝑇	NOUN
gojar-5991	98	18	,	,	PUNCT
gojar-5991	98	19	𝐻	𝐻	PROPN
gojar-5991	98	20	)	)	PUNCT
gojar-5991	98	21	=	=	PUNCT
gojar-5991	98	22	5𝑇2	5𝑇2	NUM
gojar-5991	98	23	+	+	SYM
gojar-5991	98	24	5𝐻2	5𝐻2	NUM
gojar-5991	98	25	+	+	CCONJ
gojar-5991	98	26	7𝑇𝐻	7𝑇𝐻	NUM
gojar-5991	98	27	+	+	CCONJ
gojar-5991	98	28	10	10	NUM
gojar-5991	98	29	and	and	CCONJ
gojar-5991	98	30	with	with	ADP
gojar-5991	98	31	the	the	DET
gojar-5991	98	32	three	three	NUM
gojar-5991	98	33	methods	method	NOUN
gojar-5991	98	34	using	use	VERB
gojar-5991	98	35	𝑥0	𝑥0	NOUN
gojar-5991	98	36	=	=	SYM
gojar-5991	98	37	2	2	NUM
gojar-5991	98	38	and	and	CCONJ
gojar-5991	98	39	𝑦0	𝑦0	NOUN
gojar-5991	98	40	=	=	SYM
gojar-5991	98	41	2	2	NUM
gojar-5991	98	42	,	,	PUNCT
gojar-5991	98	43	while	while	SCONJ
gojar-5991	98	44	amgt	amgt	PROPN
gojar-5991	98	45	uses	use	VERB
gojar-5991	98	46	𝑚0(𝑥	𝑚0(𝑥	PROPN
gojar-5991	98	47	,	,	PUNCT
gojar-5991	98	48	𝑦	𝑦	NOUN
gojar-5991	98	49	)	)	PUNCT
gojar-5991	98	50	=	=	SYM
gojar-5991	98	51	(	(	PUNCT
gojar-5991	98	52	1000,1000	1000,1000	NUM
gojar-5991	98	53	)	)	PUNCT
gojar-5991	98	54	,	,	PUNCT
gojar-5991	98	55	𝜏	𝜏	NOUN
gojar-5991	98	56	=	=	SYM
gojar-5991	98	57	50	50	NUM
gojar-5991	98	58	,	,	PUNCT
gojar-5991	98	59	𝛽	𝛽	NOUN
gojar-5991	98	60	=	=	SYM
gojar-5991	98	61	0.13	0.13	NUM
gojar-5991	98	62	,	,	PUNCT
gojar-5991	98	63	𝛾	𝛾	NOUN
gojar-5991	98	64	=	=	SYM
gojar-5991	98	65	0.1	0.1	NUM
gojar-5991	98	66	,	,	PUNCT
gojar-5991	98	67	we	we	PRON
gojar-5991	98	68	have	have	VERB
gojar-5991	98	69	the	the	DET
gojar-5991	98	70	following	follow	VERB
gojar-5991	98	71	results	result	NOUN
gojar-5991	98	72	:	:	PUNCT
gojar-5991	98	73	table	table	VERB
gojar-5991	98	74	4.3	4.3	NUM
gojar-5991	98	75	:	:	PUNCT
gojar-5991	98	76	energy	energy	NOUN
gojar-5991	98	77	consumption	consumption	NOUN
gojar-5991	98	78	function	function	NOUN
gojar-5991	98	79	methods	method	NOUN
gojar-5991	98	80	gradient	gradient	ADJ
gojar-5991	98	81	descent	descent	NOUN
gojar-5991	98	82	conjugate	conjugate	ADJ
gojar-5991	98	83	gradient	gradient	NOUN
gojar-5991	98	84	amgt	amgt	NOUN
gojar-5991	98	85	iteration	iteration	PROPN
gojar-5991	98	86	𝐸(𝑇	𝐸(𝑇	PROPN
gojar-5991	98	87	,	,	PUNCT
gojar-5991	98	88	𝐻	𝐻	PROPN
gojar-5991	98	89	)	)	PUNCT
gojar-5991	98	90	at	at	ADP
gojar-5991	98	91	𝛼	𝛼	X
gojar-5991	98	92	=	=	SYM
gojar-5991	98	93	0.1	0.1	NUM
gojar-5991	98	94	𝐸(𝑇	𝐸(𝑇	NOUN
gojar-5991	98	95	,	,	PUNCT
gojar-5991	98	96	𝐻	𝐻	PROPN
gojar-5991	98	97	)	)	PUNCT
gojar-5991	98	98	at	at	ADP
gojar-5991	98	99	𝛼	𝛼	X
gojar-5991	98	100	=	=	SYM
gojar-5991	98	101	0.1	0.1	NUM
gojar-5991	98	102	𝐸(𝑇	𝐸(𝑇	NOUN
gojar-5991	98	103	,	,	PUNCT
gojar-5991	98	104	𝐻	𝐻	PROPN
gojar-5991	98	105	)	)	PUNCT
gojar-5991	98	106	at	at	ADP
gojar-5991	98	107	𝛼0	𝛼0	PROPN
gojar-5991	98	108	=	=	PROPN
gojar-5991	98	109	0.1	0.1	NUM
gojar-5991	98	110	𝐸(𝑇	𝐸(𝑇	NOUN
gojar-5991	98	111	,	,	PUNCT
gojar-5991	98	112	𝐻	𝐻	PROPN
gojar-5991	98	113	)	)	PUNCT
gojar-5991	98	114	at	at	ADP
gojar-5991	98	115	𝛼0	𝛼0	PROPN
gojar-5991	98	116	=	=	PROPN
gojar-5991	99	1	0.2	0.2	NUM
gojar-5991	99	2	1	1	NUM
gojar-5991	99	3	14.998000	14.998000	NUM
gojar-5991	99	4	43.320000	43.320000	NUM
gojar-5991	99	5	129.59045	129.59045	NUM
gojar-5991	99	6	917.0755341	917.0755341	NUM
gojar-5991	99	7	10	10	NUM
gojar-5991	99	8	10.000013	10.000013	NUM
gojar-5991	99	9	10.000000	10.000000	NUM
gojar-5991	99	10	10.043577	10.043577	NUM
gojar-5991	99	11	3.831893089	3.831893089	NUM
gojar-5991	99	12	*	*	SYM
gojar-5991	99	13	10	10	NUM
gojar-5991	99	14	^	^	SYM
gojar-5991	99	15	9	9	NUM
gojar-5991	99	16	20	20	NUM
gojar-5991	99	17	10.000000	10.000000	NUM
gojar-5991	99	18	10.000000	10.000000	NUM
gojar-5991	99	19	10.000006	10.000006	NUM
gojar-5991	99	20	8.801297678	8.801297678	NUM
gojar-5991	99	21	*	*	SYM
gojar-5991	99	22	10	10	NUM
gojar-5991	99	23	^	^	SYM
gojar-5991	99	24	16	16	NUM
gojar-5991	99	25	30	30	NUM
gojar-5991	99	26	10.00000	10.00000	NUM
gojar-5991	99	27	10.00000	10.00000	NUM
gojar-5991	99	28	10.000000	10.000000	NUM
gojar-5991	99	29	2.021529286	2.021529286	NUM
gojar-5991	99	30	*	*	SYM
gojar-5991	99	31	10	10	NUM
gojar-5991	99	32	^	^	SYM
gojar-5991	99	33	24	24	NUM
gojar-5991	99	34	40	40	NUM
gojar-5991	99	35	10.000000	10.000000	NUM
gojar-5991	99	36	10.000000	10.000000	NUM
gojar-5991	99	37	10.000000	10.000000	NUM
gojar-5991	99	38	4.643156981	4.643156981	NUM
gojar-5991	99	39	*	*	SYM
gojar-5991	99	40	10	10	NUM
gojar-5991	99	41	^	^	SYM
gojar-5991	99	42	31	31	NUM
gojar-5991	99	43	50	50	NUM
gojar-5991	99	44	10.000000	10.000000	NUM
gojar-5991	99	45	10.000000	10.000000	NUM
gojar-5991	99	46	10.000000	10.000000	NUM
gojar-5991	99	47	6.817314683	6.817314683	NUM
gojar-5991	99	48	*	*	SYM
gojar-5991	99	49	10	10	NUM
gojar-5991	99	50	^	^	SYM
gojar-5991	99	51	75	75	NUM
gojar-5991	99	52	fig	fig	NOUN
gojar-5991	99	53	4.8	4.8	NUM
gojar-5991	99	54	:	:	PUNCT
gojar-5991	99	55	convergence	convergence	NOUN
gojar-5991	99	56	chart	chart	NOUN
gojar-5991	99	57	for	for	ADP
gojar-5991	99	58	gd	gd	NOUN
gojar-5991	99	59	,	,	PUNCT
gojar-5991	99	60	cg	cg	NOUN
gojar-5991	99	61	and	and	CCONJ
gojar-5991	99	62	amgt	amgt	NOUN
gojar-5991	99	63	0	0	NUM
gojar-5991	99	64	50	50	NUM
gojar-5991	99	65	100	100	NUM
gojar-5991	99	66	150	150	NUM
gojar-5991	99	67	1	1	NUM
gojar-5991	99	68	2	2	NUM
gojar-5991	99	69	3	3	NUM
gojar-5991	99	70	4	4	NUM
gojar-5991	99	71	5	5	NUM
gojar-5991	99	72	6	6	NUM
gojar-5991	99	73	convergence	convergence	NOUN
gojar-5991	99	74	chart	chart	NOUN
gojar-5991	99	75	gradient	gradient	ADJ
gojar-5991	99	76	descent	descent	NOUN
gojar-5991	99	77	conjugate	conjugate	ADJ
gojar-5991	99	78	gradient	gradient	NOUN
gojar-5991	99	79	amgt	amgt	NOUN
gojar-5991	99	80	global	global	ADJ
gojar-5991	99	81	online	online	PROPN
gojar-5991	99	82	journal	journal	PROPN
gojar-5991	99	83	of	of	ADP
gojar-5991	99	84	academic	academic	ADJ
gojar-5991	99	85	research	research	NOUN
gojar-5991	99	86	(	(	PUNCT
gojar-5991	99	87	gojar	gojar	NOUN
gojar-5991	99	88	)	)	PUNCT
gojar-5991	99	89	,	,	PUNCT
gojar-5991	99	90	vol	vol	NOUN
gojar-5991	99	91	.	.	PROPN
gojar-5991	100	1	4	4	NUM
gojar-5991	100	2	,	,	PUNCT
gojar-5991	100	3	no	no	INTJ
gojar-5991	100	4	.	.	NOUN
gojar-5991	100	5	1	1	NUM
gojar-5991	100	6	february	february	PROPN
gojar-5991	100	7	2025	2025	NUM
gojar-5991	100	8	36	36	NUM
gojar-5991	100	9	fig	fig	NOUN
gojar-5991	100	10	4.9	4.9	NUM
gojar-5991	100	11	:	:	PUNCT
gojar-5991	100	12	amgt	amgt	NOUN
gojar-5991	100	13	optimization	optimization	NOUN
gojar-5991	100	14	path	path	NOUN
gojar-5991	100	15	for	for	ADP
gojar-5991	100	16	gd	gd	PROPN
gojar-5991	100	17	and	and	CCONJ
gojar-5991	100	18	cg	cg	VERB
gojar-5991	100	19	fig	fig	NOUN
gojar-5991	100	20	4.10	4.10	NUM
gojar-5991	100	21	:	:	PUNCT
gojar-5991	100	22	objective	objective	ADJ
gojar-5991	100	23	function	function	NOUN
gojar-5991	100	24	for	for	ADP
gojar-5991	100	25	energy	energy	NOUN
gojar-5991	100	26	cost	cost	NOUN
gojar-5991	100	27	application	application	NOUN
gojar-5991	100	28	4	4	NUM
gojar-5991	100	29	:	:	PUNCT
gojar-5991	100	30	let	let	VERB
gojar-5991	100	31	us	we	PRON
gojar-5991	100	32	consider	consider	VERB
gojar-5991	100	33	transportation	transportation	NOUN
gojar-5991	100	34	cost	cost	NOUN
gojar-5991	100	35	function	function	NOUN
gojar-5991	100	36	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	100	37	,	,	PUNCT
gojar-5991	100	38	𝐷	𝐷	PROPN
gojar-5991	100	39	)	)	PUNCT
gojar-5991	100	40	=	=	SYM
gojar-5991	100	41	𝛼𝑄2	𝛼𝑄2	PROPN
gojar-5991	100	42	+	+	CCONJ
gojar-5991	100	43	𝛽𝐷2	𝛽𝐷2	PROPN
gojar-5991	100	44	+	+	CCONJ
gojar-5991	100	45	𝛾𝑄𝐷	𝛾𝑄𝐷	NOUN
gojar-5991	100	46	+	+	CCONJ
gojar-5991	100	47	𝜔	𝜔	ADP
gojar-5991	100	48	where	where	SCONJ
gojar-5991	100	49	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	100	50	,	,	PUNCT
gojar-5991	100	51	𝐷	𝐷	PROPN
gojar-5991	100	52	)	)	PUNCT
gojar-5991	100	53	is	be	AUX
gojar-5991	100	54	the	the	DET
gojar-5991	100	55	transportation	transportation	NOUN
gojar-5991	100	56	cost	cost	NOUN
gojar-5991	100	57	as	as	ADP
gojar-5991	100	58	function	function	NOUN
gojar-5991	100	59	of	of	ADP
gojar-5991	100	60	quantity	quantity	NOUN
gojar-5991	100	61	(	(	PUNCT
gojar-5991	100	62	q	q	NOUN
gojar-5991	100	63	)	)	PUNCT
gojar-5991	100	64	of	of	ADP
gojar-5991	100	65	goods	good	NOUN
gojar-5991	100	66	to	to	PART
gojar-5991	100	67	be	be	AUX
gojar-5991	100	68	transported	transport	VERB
gojar-5991	100	69	and	and	CCONJ
gojar-5991	100	70	distance	distance	NOUN
gojar-5991	100	71	to	to	PART
gojar-5991	100	72	be	be	AUX
gojar-5991	100	73	covered	cover	VERB
gojar-5991	100	74	in	in	ADP
gojar-5991	100	75	transportation	transportation	NOUN
gojar-5991	100	76	(	(	PUNCT
gojar-5991	100	77	d	d	NOUN
gojar-5991	100	78	)	)	PUNCT
gojar-5991	100	79	.	.	PUNCT
gojar-5991	101	1	𝛼	𝛼	AUX
gojar-5991	101	2	,	,	PUNCT
gojar-5991	101	3	𝛽	𝛽	PROPN
gojar-5991	101	4	,	,	PUNCT
gojar-5991	101	5	𝛾	𝛾	AUX
gojar-5991	101	6	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
gojar-5991	101	7	𝜔	𝜔	NOUN
gojar-5991	101	8	are	be	AUX
gojar-5991	101	9	constants	constant	NOUN
gojar-5991	101	10	.	.	PUNCT
gojar-5991	102	1	this	this	DET
gojar-5991	102	2	function	function	NOUN
gojar-5991	102	3	is	be	AUX
gojar-5991	102	4	convex	convex	ADJ
gojar-5991	102	5	if	if	SCONJ
gojar-5991	102	6	𝛼>0	𝛼>0	NOUN
gojar-5991	102	7	and	and	CCONJ
gojar-5991	102	8	𝛽>0	𝛽>0	NOUN
gojar-5991	102	9	indicating	indicate	VERB
gojar-5991	102	10	that	that	SCONJ
gojar-5991	102	11	transportation	transportation	NOUN
gojar-5991	102	12	cost	cost	NOUN
gojar-5991	102	13	increases	increase	NOUN
gojar-5991	102	14	at	at	ADP
gojar-5991	102	15	an	an	DET
gojar-5991	102	16	increasing	increase	VERB
gojar-5991	102	17	rate	rate	NOUN
gojar-5991	102	18	as	as	ADP
gojar-5991	102	19	either	either	CCONJ
gojar-5991	102	20	quantity	quantity	NOUN
gojar-5991	102	21	or	or	CCONJ
gojar-5991	102	22	distance	distance	NOUN
gojar-5991	102	23	increases	increase	NOUN
gojar-5991	102	24	.	.	PUNCT
gojar-5991	103	1	supposed𝛼	supposed𝛼	NOUN
gojar-5991	104	1	=	=	NOUN
gojar-5991	104	2	4	4	NUM
gojar-5991	104	3	,	,	PUNCT
gojar-5991	104	4	𝛽	𝛽	NOUN
gojar-5991	104	5	=	=	NOUN
gojar-5991	104	6	1	1	NUM
gojar-5991	104	7	,	,	PUNCT
gojar-5991	104	8	𝛾	𝛾	NOUN
gojar-5991	104	9	=	=	NOUN
gojar-5991	104	10	-1	-1	NOUN
gojar-5991	104	11	and	and	CCONJ
gojar-5991	104	12	𝜔	𝜔	AUX
gojar-5991	104	13	=	=	SYM
gojar-5991	104	14	0	0	NUM
gojar-5991	104	15	then	then	ADV
gojar-5991	104	16	;	;	PUNCT
gojar-5991	104	17	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	104	18	,	,	PUNCT
gojar-5991	104	19	𝐷	𝐷	PROPN
gojar-5991	104	20	)	)	PUNCT
gojar-5991	104	21	=	=	SYM
gojar-5991	104	22	4𝑄2	4𝑄2	PROPN
gojar-5991	104	23	+	+	NUM
gojar-5991	104	24	𝐷2	𝐷2	PROPN
gojar-5991	104	25	−	−	PROPN
gojar-5991	104	26	2𝑄𝐷	2𝑄𝐷	NUM
gojar-5991	104	27	and	and	CCONJ
gojar-5991	104	28	with	with	ADP
gojar-5991	104	29	the	the	DET
gojar-5991	104	30	three	three	NUM
gojar-5991	104	31	methods	method	NOUN
gojar-5991	104	32	using	use	VERB
gojar-5991	104	33	𝑥0	𝑥0	NOUN
gojar-5991	104	34	=	=	SYM
gojar-5991	104	35	2	2	NUM
gojar-5991	104	36	and	and	CCONJ
gojar-5991	104	37	𝑦0	𝑦0	NOUN
gojar-5991	104	38	=	=	SYM
gojar-5991	104	39	2	2	NUM
gojar-5991	104	40	,	,	PUNCT
gojar-5991	104	41	while	while	SCONJ
gojar-5991	104	42	amgt	amgt	PROPN
gojar-5991	104	43	uses	use	VERB
gojar-5991	104	44	𝑚0(𝑥	𝑚0(𝑥	PROPN
gojar-5991	104	45	,	,	PUNCT
gojar-5991	104	46	𝑦	𝑦	NOUN
gojar-5991	104	47	)	)	PUNCT
gojar-5991	104	48	=	=	SYM
gojar-5991	104	49	(	(	PUNCT
gojar-5991	104	50	1000,1000	1000,1000	NUM
gojar-5991	104	51	)	)	PUNCT
gojar-5991	104	52	,	,	PUNCT
gojar-5991	104	53	𝜏	𝜏	NOUN
gojar-5991	104	54	=	=	SYM
gojar-5991	104	55	50	50	NUM
gojar-5991	104	56	,	,	PUNCT
gojar-5991	104	57	𝛽	𝛽	NOUN
gojar-5991	104	58	=	=	SYM
gojar-5991	104	59	0.13	0.13	NUM
gojar-5991	104	60	,	,	PUNCT
gojar-5991	104	61	𝛾	𝛾	NOUN
gojar-5991	104	62	=	=	SYM
gojar-5991	104	63	0.1	0.1	NUM
gojar-5991	104	64	,	,	PUNCT
gojar-5991	104	65	we	we	PRON
gojar-5991	104	66	have	have	VERB
gojar-5991	104	67	the	the	DET
gojar-5991	104	68	following	follow	VERB
gojar-5991	104	69	results	result	NOUN
gojar-5991	104	70	:	:	PUNCT
gojar-5991	104	71	table	table	NOUN
gojar-5991	104	72	4.4	4.4	NUM
gojar-5991	104	73	:	:	PUNCT
gojar-5991	104	74	transportation	transportation	NOUN
gojar-5991	104	75	cost	cost	NOUN
gojar-5991	104	76	function	function	NOUN
gojar-5991	104	77	methods	method	NOUN
gojar-5991	104	78	gd	gd	INTJ
gojar-5991	104	79	at	at	ADP
gojar-5991	104	80	𝛼	𝛼	NOUN
gojar-5991	104	81	=	=	SYM
gojar-5991	104	82	0.1	0.1	NUM
gojar-5991	104	83	cg	cg	NOUN
gojar-5991	104	84	at	at	ADP
gojar-5991	104	85	𝛼	𝛼	NOUN
gojar-5991	104	86	=	=	SYM
gojar-5991	104	87	0.1	0.1	NUM
gojar-5991	104	88	amgt	amgt	NOUN
gojar-5991	104	89	at	at	ADP
gojar-5991	104	90	𝛼	𝛼	NOUN
gojar-5991	104	91	=	=	SYM
gojar-5991	104	92	0.1	0.1	NUM
gojar-5991	104	93	,	,	PUNCT
gojar-5991	104	94	0.2	0.2	NUM
gojar-5991	104	95	,	,	PUNCT
gojar-5991	104	96	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
gojar-5991	104	97	0.3	0.3	NUM
gojar-5991	104	98	𝑟𝑒𝑠𝑝𝑒𝑐𝑡𝑣𝑖𝑒𝑙𝑦	𝑟𝑒𝑠𝑝𝑒𝑐𝑡𝑣𝑖𝑒𝑙𝑦	NOUN
gojar-5991	104	99	iteration	iteration	NOUN
gojar-5991	104	100	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	104	101	,	,	PUNCT
gojar-5991	104	102	𝐷	𝐷	PROPN
gojar-5991	104	103	)	)	PUNCT
gojar-5991	104	104	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	104	105	,	,	PUNCT
gojar-5991	104	106	𝐷	𝐷	PROPN
gojar-5991	104	107	)	)	PUNCT
gojar-5991	104	108	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	104	109	,	,	PUNCT
gojar-5991	104	110	𝐷	𝐷	PROPN
gojar-5991	104	111	)	)	PUNCT
gojar-5991	104	112	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	104	113	,	,	PUNCT
gojar-5991	104	114	𝐷	𝐷	PROPN
gojar-5991	104	115	)	)	PUNCT
gojar-5991	104	116	𝑇(𝑄	𝑇(𝑄	PROPN
gojar-5991	104	117	,	,	PUNCT
gojar-5991	104	118	𝐷	𝐷	PROPN
gojar-5991	104	119	)	)	PUNCT
gojar-5991	104	120	1	1	NUM
gojar-5991	104	121	2.841600	2.841600	NUM
gojar-5991	104	122	3.360000	3.360000	NUM
gojar-5991	104	123	2.100208	2.100208	NUM
gojar-5991	104	124	31.996444	31.996444	NUM
gojar-5991	104	125	101.6887051	101.6887051	NUM
gojar-5991	104	126	10	10	NUM
gojar-5991	104	127	0.135361	0.135361	NUM
gojar-5991	105	1	0.050166	0.050166	NUM
gojar-5991	105	2	0.011700	0.011700	NUM
gojar-5991	105	3	0.024588	0.024588	NUM
gojar-5991	105	4	185200.1144	185200.1144	NUM
gojar-5991	105	5	20	20	NUM
gojar-5991	105	6	0.005533	0.005533	NUM
gojar-5991	105	7	0.000429	0.000429	NUM
gojar-5991	105	8	0.000578	0.000578	NUM
gojar-5991	105	9	0.000012	0.000012	NUM
gojar-5991	105	10	8.452832713	8.452832713	NUM
gojar-5991	105	11	*	*	SYM
gojar-5991	105	12	10	10	NUM
gojar-5991	105	13	^	^	SYM
gojar-5991	105	14	8	8	NUM
gojar-5991	105	15	30	30	NUM
gojar-5991	105	16	0.000226	0.000226	NUM
gojar-5991	105	17	0.000004	0.000004	NUM
gojar-5991	105	18	0.000029	0.000029	NUM
gojar-5991	105	19	0.000000	0.000000	NUM
gojar-5991	105	20	3.858009564	3.858009564	NUM
gojar-5991	105	21	*	*	SYM
gojar-5991	105	22	10	10	NUM
gojar-5991	105	23	^	^	SYM
gojar-5991	105	24	12	12	NUM
gojar-5991	105	25	40	40	NUM
gojar-5991	105	26	0.000009	0.000009	NUM
gojar-5991	105	27	0.000000	0.000000	NUM
gojar-5991	105	28	0.000001	0.000001	NUM
gojar-5991	105	29	0.000000	0.000000	NUM
gojar-5991	105	30	1.760857964	1.760857964	NUM
gojar-5991	105	31	*	*	SYM
gojar-5991	105	32	10	10	NUM
gojar-5991	105	33	^	^	SYM
gojar-5991	105	34	16	16	NUM
gojar-5991	105	35	50	50	NUM
gojar-5991	105	36	0.000000	0.000000	NUM
gojar-5991	105	37	0.000000	0.000000	NUM
gojar-5991	105	38	0.000000	0.000000	NUM
gojar-5991	105	39	0.000000	0.000000	NUM
gojar-5991	105	40	8.036840592	8.036840592	NUM
gojar-5991	105	41	*	*	NUM
gojar-5991	105	42	10	10	NUM
gojar-5991	105	43	^	^	SYM
gojar-5991	105	44	19	19	NUM
gojar-5991	105	45	100	100	NUM
gojar-5991	105	46	0.000000	0.000000	NUM
gojar-5991	105	47	0.000000	0.000000	NUM
gojar-5991	105	48	0.000000	0.000000	NUM
gojar-5991	105	49	0.000000	0.000000	NUM
gojar-5991	105	50	1.591807268	1.591807268	NUM
gojar-5991	105	51	*	*	SYM
gojar-5991	105	52	10	10	NUM
gojar-5991	105	53	^	^	SYM
gojar-5991	105	54	38	38	NUM
gojar-5991	105	55	fig	fig	NOUN
gojar-5991	105	56	4.11	4.11	NUM
gojar-5991	105	57	:	:	PUNCT
gojar-5991	105	58	convergence	convergence	NOUN
gojar-5991	105	59	path	path	NOUN
gojar-5991	105	60	for	for	ADP
gojar-5991	105	61	transportation	transportation	NOUN
gojar-5991	105	62	cost	cost	NOUN
gojar-5991	105	63	function	function	NOUN
gojar-5991	105	64	global	global	ADJ
gojar-5991	105	65	online	online	PROPN
gojar-5991	105	66	journal	journal	PROPN
gojar-5991	105	67	of	of	ADP
gojar-5991	105	68	academic	academic	ADJ
gojar-5991	105	69	research	research	NOUN
gojar-5991	105	70	(	(	PUNCT
gojar-5991	105	71	gojar	gojar	NOUN
gojar-5991	105	72	)	)	PUNCT
gojar-5991	105	73	,	,	PUNCT
gojar-5991	105	74	vol	vol	NOUN
gojar-5991	105	75	.	.	PROPN
gojar-5991	105	76	4	4	NUM
gojar-5991	105	77	,	,	PUNCT
gojar-5991	105	78	no	no	INTJ
gojar-5991	105	79	.	.	NOUN
gojar-5991	105	80	1	1	NUM
gojar-5991	105	81	february	february	NOUN
gojar-5991	105	82	2025	2025	NUM
gojar-5991	105	83	37	37	NUM
gojar-5991	105	84	fig	fig	NOUN
gojar-5991	105	85	4.12	4.12	NUM
gojar-5991	105	86	amgt	amgt	NOUN
gojar-5991	105	87	optimization	optimization	NOUN
gojar-5991	105	88	path	path	NOUN
gojar-5991	105	89	for	for	ADP
gojar-5991	105	90	gd	gd	PROPN
gojar-5991	105	91	and	and	CCONJ
gojar-5991	105	92	cg	cg	VERB
gojar-5991	105	93	fig	fig	NOUN
gojar-5991	105	94	4.13	4.13	NUM
gojar-5991	105	95	:	:	PUNCT
gojar-5991	105	96	objective	objective	ADJ
gojar-5991	105	97	function	function	NOUN
gojar-5991	105	98	for	for	ADP
gojar-5991	105	99	transportation	transportation	NOUN
gojar-5991	105	100	cost	cost	NOUN
gojar-5991	105	101	application	application	NOUN
gojar-5991	105	102	5	5	NUM
gojar-5991	105	103	:	:	PUNCT
gojar-5991	105	104	let	let	VERB
gojar-5991	105	105	's	us	PRON
gojar-5991	105	106	consider	consider	VERB
gojar-5991	105	107	the	the	DET
gojar-5991	105	108	convex	convex	NOUN
gojar-5991	105	109	function	function	NOUN
gojar-5991	105	110	𝑓(𝑥	𝑓(𝑥	NOUN
gojar-5991	105	111	,	,	PUNCT
gojar-5991	105	112	𝑦	𝑦	NOUN
gojar-5991	105	113	)	)	PUNCT
gojar-5991	105	114	=	=	PUNCT
gojar-5991	106	1	2𝑥𝑦	2𝑥𝑦	NOUN
gojar-5991	107	1	+	+	CCONJ
gojar-5991	107	2	𝑦	𝑦	NOUN
gojar-5991	107	3	−	−	NOUN
gojar-5991	107	4	𝑥2	𝑥2	NOUN
gojar-5991	107	5	−	−	PROPN
gojar-5991	107	6	2𝑦2	2𝑦2	NUM
gojar-5991	107	7	.	.	PUNCT
gojar-5991	108	1	with	with	ADP
gojar-5991	108	2	the	the	DET
gojar-5991	108	3	three	three	NUM
gojar-5991	108	4	methods	method	NOUN
gojar-5991	108	5	using	use	VERB
gojar-5991	108	6	𝑥0	𝑥0	NOUN
gojar-5991	108	7	=	=	SYM
gojar-5991	108	8	2	2	NUM
gojar-5991	108	9	and	and	CCONJ
gojar-5991	108	10	𝑦0	𝑦0	NOUN
gojar-5991	108	11	=	=	SYM
gojar-5991	108	12	2	2	NUM
gojar-5991	108	13	,	,	PUNCT
gojar-5991	108	14	while	while	SCONJ
gojar-5991	108	15	amgt	amgt	PROPN
gojar-5991	108	16	uses	use	VERB
gojar-5991	108	17	𝑚0(𝑥	𝑚0(𝑥	PROPN
gojar-5991	108	18	,	,	PUNCT
gojar-5991	108	19	𝑦	𝑦	NOUN
gojar-5991	108	20	)	)	PUNCT
gojar-5991	108	21	=	=	SYM
gojar-5991	108	22	(	(	PUNCT
gojar-5991	108	23	1000,1000	1000,1000	NUM
gojar-5991	108	24	)	)	PUNCT
gojar-5991	108	25	,	,	PUNCT
gojar-5991	108	26	𝜏	𝜏	NOUN
gojar-5991	108	27	=	=	SYM
gojar-5991	108	28	50	50	NUM
gojar-5991	108	29	,	,	PUNCT
gojar-5991	108	30	𝛽	𝛽	NOUN
gojar-5991	108	31	=	=	SYM
gojar-5991	108	32	0.13	0.13	NUM
gojar-5991	108	33	,	,	PUNCT
gojar-5991	108	34	𝛾	𝛾	NOUN
gojar-5991	108	35	=	=	SYM
gojar-5991	108	36	0.1	0.1	NUM
gojar-5991	108	37	,	,	PUNCT
gojar-5991	108	38	we	we	PRON
gojar-5991	108	39	have	have	VERB
gojar-5991	108	40	the	the	DET
gojar-5991	108	41	following	follow	VERB
gojar-5991	108	42	results	result	NOUN
gojar-5991	108	43	;	;	PUNCT
gojar-5991	108	44	table	table	NOUN
gojar-5991	108	45	4.5	4.5	NUM
gojar-5991	108	46	:	:	PUNCT
gojar-5991	108	47	non	non	ADJ
gojar-5991	108	48	convex	convex	NOUN
gojar-5991	108	49	methods	method	NOUN
gojar-5991	108	50	gradient	gradient	ADJ
gojar-5991	108	51	descent	descent	NOUN
gojar-5991	108	52	conjugate	conjugate	ADJ
gojar-5991	108	53	gradient	gradient	NOUN
gojar-5991	108	54	amgt	amgt	NOUN
gojar-5991	108	55	iteration	iteration	NOUN
gojar-5991	108	56	f(x	f(x	PROPN
gojar-5991	108	57	,	,	PUNCT
gojar-5991	108	58	y	y	PROPN
gojar-5991	108	59	)	)	PUNCT
gojar-5991	108	60	at	at	ADP
gojar-5991	108	61	𝛼	𝛼	X
gojar-5991	108	62	=	=	SYM
gojar-5991	108	63	0.1	0.1	NUM
gojar-5991	108	64	f(x	f(x	PROPN
gojar-5991	108	65	,	,	PUNCT
gojar-5991	108	66	y	y	NOUN
gojar-5991	108	67	)	)	PUNCT
gojar-5991	108	68	at	at	ADP
gojar-5991	108	69	𝛼	𝛼	X
gojar-5991	108	70	=	=	SYM
gojar-5991	108	71	0.1	0.1	NUM
gojar-5991	108	72	f(x	f(x	PROPN
gojar-5991	108	73	,	,	PUNCT
gojar-5991	108	74	y	y	NOUN
gojar-5991	108	75	)	)	PUNCT
gojar-5991	108	76	at	at	ADP
gojar-5991	108	77	𝛼0	𝛼0	PROPN
gojar-5991	108	78	=	=	NOUN
gojar-5991	108	79	0.1	0.1	NUM
gojar-5991	108	80	1	1	NUM
gojar-5991	108	81	-3.080000	-3.080000	NOUN
gojar-5991	108	82	-3.08	-3.08	NUM
gojar-5991	108	83	-0.084282334	-0.084282334	NOUN
gojar-5991	108	84	10	10	NUM
gojar-5991	108	85	-4263.708589	-4263.708589	NOUN
gojar-5991	109	1	-603182.468126262	-603182.468126262	PRON
gojar-5991	110	1	-490.5670125	-490.5670125	ADJ
gojar-5991	110	2	20	20	NUM
gojar-5991	110	3	-34952895.710000	-34952895.710000	INTJ
gojar-5991	110	4	-1110219359887.00	-1110219359887.00	PROPN
gojar-5991	110	5	-2146227.90	-2146227.90	PROPN
gojar-5991	110	6	fig	fig	NOUN
gojar-5991	110	7	4.14	4.14	NUM
gojar-5991	110	8	:	:	PUNCT
gojar-5991	110	9	amgt	amgt	NOUN
gojar-5991	110	10	optimization	optimization	NOUN
gojar-5991	110	11	path	path	NOUN
gojar-5991	110	12	for	for	ADP
gojar-5991	110	13	gd	gd	PROPN
gojar-5991	110	14	and	and	CCONJ
gojar-5991	110	15	cg	cg	VERB
gojar-5991	110	16	fig	fig	NOUN
gojar-5991	110	17	4.15	4.15	NUM
gojar-5991	110	18	:	:	PUNCT
gojar-5991	110	19	objective	objective	ADJ
gojar-5991	110	20	function	function	NOUN
gojar-5991	110	21	:	:	PUNCT
gojar-5991	110	22	nonconvex	nonconvex	NOUN
gojar-5991	110	23	function	function	NOUN
gojar-5991	110	24	from	from	ADP
gojar-5991	110	25	the	the	DET
gojar-5991	110	26	diagram	diagram	NOUN
gojar-5991	110	27	above	above	ADV
gojar-5991	110	28	,	,	PUNCT
gojar-5991	110	29	this	this	PRON
gojar-5991	110	30	is	be	AUX
gojar-5991	110	31	a	a	DET
gojar-5991	110	32	non	non	ADJ
gojar-5991	110	33	-	-	ADJ
gojar-5991	110	34	convex	convex	ADJ
gojar-5991	110	35	function	function	NOUN
gojar-5991	110	36	;	;	PUNCT
gojar-5991	110	37	thus	thus	ADV
gojar-5991	110	38	,	,	PUNCT
gojar-5991	110	39	it	it	PRON
gojar-5991	110	40	does	do	AUX
gojar-5991	110	41	n’t	not	PART
gojar-5991	110	42	have	have	VERB
gojar-5991	110	43	a	a	DET
gojar-5991	110	44	minimum	minimum	NOUN
gojar-5991	110	45	.	.	PUNCT
gojar-5991	111	1	instead	instead	ADV
gojar-5991	111	2	,	,	PUNCT
gojar-5991	111	3	what	what	PRON
gojar-5991	111	4	it	it	PRON
gojar-5991	111	5	has	have	AUX
gojar-5991	111	6	is	be	AUX
gojar-5991	111	7	a	a	DET
gojar-5991	111	8	maximum	maximum	ADJ
gojar-5991	111	9	and	and	CCONJ
gojar-5991	111	10	therefore	therefore	ADV
gojar-5991	111	11	none	none	NOUN
gojar-5991	111	12	of	of	ADP
gojar-5991	111	13	the	the	DET
gojar-5991	111	14	global	global	ADJ
gojar-5991	111	15	online	online	PROPN
gojar-5991	111	16	journal	journal	PROPN
gojar-5991	111	17	of	of	ADP
gojar-5991	111	18	academic	academic	ADJ
gojar-5991	111	19	research	research	NOUN
gojar-5991	111	20	(	(	PUNCT
gojar-5991	111	21	gojar	gojar	NOUN
gojar-5991	111	22	)	)	PUNCT
gojar-5991	111	23	,	,	PUNCT
gojar-5991	111	24	vol	vol	NOUN
gojar-5991	111	25	.	.	PROPN
gojar-5991	111	26	4	4	NUM
gojar-5991	111	27	,	,	PUNCT
gojar-5991	111	28	no	no	INTJ
gojar-5991	111	29	.	.	NOUN
gojar-5991	111	30	1	1	NUM
gojar-5991	111	31	february	february	NOUN
gojar-5991	111	32	2025	2025	NUM
gojar-5991	111	33	38	38	NUM
gojar-5991	111	34	methods	method	NOUN
gojar-5991	111	35	converges	converge	VERB
gojar-5991	111	36	.	.	PUNCT
gojar-5991	112	1	to	to	PART
gojar-5991	112	2	solve	solve	VERB
gojar-5991	112	3	the	the	DET
gojar-5991	112	4	above	above	ADJ
gojar-5991	112	5	,	,	PUNCT
gojar-5991	112	6	we	we	PRON
gojar-5991	112	7	may	may	AUX
gojar-5991	112	8	have	have	VERB
gojar-5991	112	9	to	to	PART
gojar-5991	112	10	minimize	minimize	VERB
gojar-5991	112	11	the	the	DET
gojar-5991	112	12	negative	negative	NOUN
gojar-5991	112	13	of	of	ADP
gojar-5991	112	14	the	the	DET
gojar-5991	112	15	above	above	ADJ
gojar-5991	112	16	function	function	NOUN
gojar-5991	112	17	which	which	PRON
gojar-5991	112	18	will	will	AUX
gojar-5991	112	19	then	then	ADV
gojar-5991	112	20	be	be	AUX
gojar-5991	112	21	convex	convex	NOUN
gojar-5991	112	22	.	.	PUNCT
gojar-5991	113	1	discussion	discussion	NOUN
gojar-5991	113	2	the	the	DET
gojar-5991	113	3	discussion	discussion	NOUN
gojar-5991	113	4	emphasizes	emphasize	VERB
gojar-5991	113	5	amgt	amgt	NOUN
gojar-5991	113	6	's	's	PART
gojar-5991	113	7	rapid	rapid	ADJ
gojar-5991	113	8	convergence	convergence	NOUN
gojar-5991	113	9	and	and	CCONJ
gojar-5991	113	10	stability	stability	NOUN
gojar-5991	113	11	,	,	PUNCT
gojar-5991	113	12	making	make	VERB
gojar-5991	113	13	it	it	PRON
gojar-5991	113	14	well	well	ADV
gojar-5991	113	15	-	-	PUNCT
gojar-5991	113	16	suited	suit	VERB
gojar-5991	113	17	for	for	ADP
gojar-5991	113	18	a	a	DET
gojar-5991	113	19	variety	variety	NOUN
gojar-5991	113	20	of	of	ADP
gojar-5991	113	21	optimization	optimization	NOUN
gojar-5991	113	22	problems	problem	NOUN
gojar-5991	113	23	.	.	PUNCT
gojar-5991	114	1	however	however	ADV
gojar-5991	114	2	,	,	PUNCT
gojar-5991	114	3	there	there	PRON
gojar-5991	114	4	is	be	VERB
gojar-5991	114	5	still	still	ADV
gojar-5991	114	6	room	room	NOUN
gojar-5991	114	7	for	for	ADP
gojar-5991	114	8	further	further	ADJ
gojar-5991	114	9	investigation	investigation	NOUN
gojar-5991	114	10	into	into	ADP
gojar-5991	114	11	computational	computational	ADJ
gojar-5991	114	12	costs	cost	NOUN
gojar-5991	114	13	and	and	CCONJ
gojar-5991	114	14	parameter	parameter	NOUN
gojar-5991	114	15	adjustments	adjustment	NOUN
gojar-5991	114	16	.	.	PUNCT
gojar-5991	115	1	the	the	DET
gojar-5991	115	2	findings	finding	NOUN
gojar-5991	115	3	confirm	confirm	VERB
gojar-5991	115	4	that	that	SCONJ
gojar-5991	115	5	maple	maple	NOUN
gojar-5991	115	6	24	24	NUM
gojar-5991	115	7	is	be	AUX
gojar-5991	115	8	effective	effective	ADJ
gojar-5991	115	9	in	in	ADP
gojar-5991	115	10	executing	execute	VERB
gojar-5991	115	11	sophisticated	sophisticated	ADJ
gojar-5991	115	12	optimization	optimization	NOUN
gojar-5991	115	13	algorithms	algorithm	NOUN
gojar-5991	115	14	.	.	PUNCT
gojar-5991	116	1	conclusion	conclusion	NOUN
gojar-5991	116	2	this	this	DET
gojar-5991	116	3	study	study	NOUN
gojar-5991	116	4	underscores	underscore	VERB
gojar-5991	116	5	amgt	amgt	NOUN
gojar-5991	116	6	's	's	PART
gojar-5991	116	7	advantages	advantage	NOUN
gojar-5991	116	8	in	in	ADP
gojar-5991	116	9	convergence	convergence	NOUN
gojar-5991	116	10	rate	rate	NOUN
gojar-5991	116	11	and	and	CCONJ
gojar-5991	116	12	stability	stability	NOUN
gojar-5991	116	13	,	,	PUNCT
gojar-5991	116	14	making	make	VERB
gojar-5991	116	15	it	it	PRON
gojar-5991	116	16	a	a	DET
gojar-5991	116	17	promising	promising	ADJ
gojar-5991	116	18	alternative	alternative	NOUN
gojar-5991	116	19	to	to	ADP
gojar-5991	116	20	gd	gd	PROPN
gojar-5991	116	21	and	and	CCONJ
gojar-5991	116	22	cg	cg	INTJ
gojar-5991	116	23	.	.	PUNCT
gojar-5991	117	1	however	however	ADV
gojar-5991	117	2	,	,	PUNCT
gojar-5991	117	3	the	the	DET
gojar-5991	117	4	convex	convex	NOUN
gojar-5991	117	5	functions	function	NOUN
gojar-5991	117	6	showed	show	VERB
gojar-5991	117	7	the	the	DET
gojar-5991	117	8	following	follow	VERB
gojar-5991	117	9	results	result	NOUN
gojar-5991	117	10	.	.	PUNCT
gojar-5991	118	1			NOUN
gojar-5991	118	2	production	production	NOUN
gojar-5991	118	3	cost	cost	NOUN
gojar-5991	118	4	function	function	NOUN
gojar-5991	118	5	:	:	PUNCT
gojar-5991	118	6	amgt	amgt	NOUN
gojar-5991	118	7	demonstrated	demonstrate	VERB
gojar-5991	118	8	faster	fast	ADJ
gojar-5991	118	9	convergence	convergence	NOUN
gojar-5991	118	10	compared	compare	VERB
gojar-5991	118	11	to	to	ADP
gojar-5991	118	12	gd	gd	PROPN
gojar-5991	118	13	and	and	CCONJ
gojar-5991	118	14	cg	cg	VERB
gojar-5991	118	15	,	,	PUNCT
gojar-5991	118	16	with	with	ADP
gojar-5991	118	17	reduced	reduce	VERB
gojar-5991	118	18	iterations	iteration	NOUN
gojar-5991	118	19	for	for	ADP
gojar-5991	118	20	similar	similar	ADJ
gojar-5991	118	21	accuracy	accuracy	NOUN
gojar-5991	118	22	levels	level	NOUN
gojar-5991	118	23	.	.	PUNCT
gojar-5991	119	1			NOUN
gojar-5991	119	2	energy	energy	NOUN
gojar-5991	119	3	consumption	consumption	NOUN
gojar-5991	119	4	function	function	NOUN
gojar-5991	119	5	:	:	PUNCT
gojar-5991	119	6	amgt	amgt	NOUN
gojar-5991	119	7	showcased	showcase	VERB
gojar-5991	119	8	enhanced	enhanced	ADJ
gojar-5991	119	9	stability	stability	NOUN
gojar-5991	119	10	in	in	ADP
gojar-5991	119	11	scenarios	scenario	NOUN
gojar-5991	119	12	with	with	ADP
gojar-5991	119	13	fluctuating	fluctuate	VERB
gojar-5991	119	14	gradients	gradient	NOUN
gojar-5991	119	15	.	.	PUNCT
gojar-5991	120	1			NOUN
gojar-5991	120	2	transportation	transportation	NOUN
gojar-5991	120	3	cost	cost	NOUN
gojar-5991	120	4	function	function	NOUN
gojar-5991	120	5	:	:	PUNCT
gojar-5991	120	6	the	the	DET
gojar-5991	120	7	performance	performance	NOUN
gojar-5991	120	8	gain	gain	NOUN
gojar-5991	120	9	of	of	ADP
gojar-5991	120	10	amgt	amgt	NOUN
gojar-5991	120	11	was	be	AUX
gojar-5991	120	12	significant	significant	ADJ
gojar-5991	120	13	in	in	ADP
gojar-5991	120	14	multi	multi	ADJ
gojar-5991	120	15	-	-	ADJ
gojar-5991	120	16	variable	variable	ADJ
gojar-5991	120	17	optimization	optimization	NOUN
gojar-5991	120	18	tasks	task	NOUN
gojar-5991	120	19	.	.	PUNCT
gojar-5991	121	1	non	non	ADJ
gojar-5991	121	2	-	-	ADJ
gojar-5991	121	3	convex	convex	ADJ
gojar-5991	121	4	function	function	NOUN
gojar-5991	121	5	:	:	PUNCT
gojar-5991	121	6	the	the	DET
gojar-5991	121	7	non	non	ADJ
gojar-5991	121	8	-	-	ADJ
gojar-5991	121	9	convex	convex	ADJ
gojar-5991	121	10	function	function	NOUN
gojar-5991	121	11	presented	present	VERB
gojar-5991	121	12	challenges	challenge	NOUN
gojar-5991	121	13	in	in	ADP
gojar-5991	121	14	local	local	ADJ
gojar-5991	121	15	minima	minima	PROPN
gojar-5991	121	16	.	.	PROPN
gojar-5991	122	1	amgt	amgt	PROPN
gojar-5991	122	2	outperformed	outperform	VERB
gojar-5991	122	3	gd	gd	PROPN
gojar-5991	122	4	but	but	CCONJ
gojar-5991	122	5	showed	show	VERB
gojar-5991	122	6	similar	similar	ADJ
gojar-5991	122	7	convergence	convergence	NOUN
gojar-5991	122	8	to	to	PART
gojar-5991	122	9	cg	cg	VERB
gojar-5991	122	10	in	in	ADP
gojar-5991	122	11	escaping	escape	VERB
gojar-5991	122	12	local	local	ADJ
gojar-5991	122	13	minima	minima	PROPN
gojar-5991	122	14	.	.	PUNCT
gojar-5991	123	1	future	future	ADJ
gojar-5991	123	2	research	research	NOUN
gojar-5991	123	3	will	will	AUX
gojar-5991	123	4	focus	focus	VERB
gojar-5991	123	5	on	on	ADP
gojar-5991	123	6	testing	test	VERB
gojar-5991	123	7	the	the	DET
gojar-5991	123	8	scalability	scalability	NOUN
gojar-5991	123	9	of	of	ADP
gojar-5991	123	10	amgt	amgt	NOUN
gojar-5991	123	11	in	in	ADP
gojar-5991	123	12	highdimensional	highdimensional	NOUN
gojar-5991	123	13	and	and	CCONJ
gojar-5991	123	14	real	real	ADJ
gojar-5991	123	15	-	-	PUNCT
gojar-5991	123	16	time	time	NOUN
gojar-5991	123	17	optimization	optimization	NOUN
gojar-5991	123	18	scenarios	scenario	NOUN
gojar-5991	123	19	.	.	PUNCT
gojar-5991	124	1	references	reference	NOUN
gojar-5991	124	2	bertsekas	bertsekas	PROPN
gojar-5991	124	3	,	,	PUNCT
gojar-5991	124	4	d.	d.	PROPN
gojar-5991	124	5	p.	p.	PROPN
gojar-5991	124	6	(	(	PUNCT
gojar-5991	124	7	1999	1999	NUM
gojar-5991	124	8	)	)	PUNCT
gojar-5991	124	9	.	.	PUNCT
gojar-5991	125	1	nonlinear	nonlinear	ADJ
gojar-5991	125	2	programming	programming	NOUN
gojar-5991	125	3	(	(	PUNCT
gojar-5991	125	4	2nd	2nd	ADJ
gojar-5991	125	5	ed	ed	NOUN
gojar-5991	125	6	.	.	PUNCT
gojar-5991	125	7	)	)	PUNCT
gojar-5991	125	8	.	.	PUNCT
gojar-5991	126	1	athena	athena	PROPN
gojar-5991	126	2	scientific	scientific	PROPN
gojar-5991	126	3	.	.	PUNCT
gojar-5991	127	1	boyd	boyd	PROPN
gojar-5991	127	2	,	,	PUNCT
gojar-5991	127	3	s.	s.	PROPN
gojar-5991	127	4	,	,	PUNCT
gojar-5991	127	5	&	&	CCONJ
gojar-5991	127	6	vandenberghe	vandenberghe	PROPN
gojar-5991	127	7	,	,	PUNCT
gojar-5991	127	8	l.	l.	PROPN
gojar-5991	127	9	(	(	PUNCT
gojar-5991	127	10	2004	2004	NUM
gojar-5991	127	11	)	)	PUNCT
gojar-5991	127	12	.	.	PUNCT
gojar-5991	128	1	convex	convex	PROPN
gojar-5991	128	2	optimization	optimization	NOUN
gojar-5991	128	3	.	.	PUNCT
gojar-5991	129	1	cambridge	cambridge	PROPN
gojar-5991	129	2	university	university	PROPN
gojar-5991	129	3	press	press	NOUN
gojar-5991	129	4	.	.	PUNCT
gojar-5991	130	1	dauphin	dauphin	PROPN
gojar-5991	130	2	,	,	PUNCT
gojar-5991	130	3	y.	y.	PROPN
gojar-5991	130	4	n.	n.	PROPN
gojar-5991	130	5	,	,	PUNCT
gojar-5991	130	6	pascanu	pascanu	NOUN
gojar-5991	130	7	,	,	PUNCT
gojar-5991	130	8	r.	r.	PROPN
gojar-5991	130	9	,	,	PUNCT
gojar-5991	130	10	gulcehre	gulcehre	PROPN
gojar-5991	130	11	,	,	PUNCT
gojar-5991	130	12	c.	c.	PROPN
gojar-5991	130	13	,	,	PUNCT
gojar-5991	130	14	cho	cho	PROPN
gojar-5991	130	15	,	,	PUNCT
gojar-5991	130	16	k.	k.	PROPN
gojar-5991	130	17	,	,	PUNCT
gojar-5991	130	18	ganguli	ganguli	PROPN
gojar-5991	130	19	,	,	PUNCT
gojar-5991	130	20	s.	s.	PROPN
gojar-5991	130	21	,	,	PUNCT
gojar-5991	130	22	&	&	CCONJ
gojar-5991	130	23	bengio	bengio	PROPN
gojar-5991	130	24	,	,	PUNCT
gojar-5991	130	25	y.	y.	PROPN
gojar-5991	130	26	(	(	PUNCT
gojar-5991	130	27	2015	2015	NUM
gojar-5991	130	28	)	)	PUNCT
gojar-5991	130	29	.	.	PUNCT
gojar-5991	131	1	identifying	identify	VERB
gojar-5991	131	2	and	and	CCONJ
gojar-5991	131	3	attacking	attack	VERB
gojar-5991	131	4	the	the	DET
gojar-5991	131	5	saddle	saddle	NOUN
gojar-5991	131	6	point	point	NOUN
gojar-5991	131	7	problem	problem	NOUN
gojar-5991	131	8	in	in	ADP
gojar-5991	131	9	highdimensional	highdimensional	ADJ
gojar-5991	131	10	non	non	ADJ
gojar-5991	131	11	-	-	ADJ
gojar-5991	131	12	convex	convex	ADJ
gojar-5991	131	13	optimization	optimization	NOUN
gojar-5991	131	14	.	.	PUNCT
gojar-5991	132	1	in	in	ADP
gojar-5991	132	2	proceedings	proceeding	NOUN
gojar-5991	132	3	of	of	ADP
gojar-5991	132	4	the	the	DET
gojar-5991	132	5	34th	34th	ADJ
gojar-5991	132	6	international	international	ADJ
gojar-5991	132	7	conference	conference	NOUN
gojar-5991	132	8	on	on	ADP
gojar-5991	132	9	machine	machine	NOUN
gojar-5991	132	10	learning	learning	NOUN
gojar-5991	132	11	(	(	PUNCT
gojar-5991	132	12	vol	vol	NOUN
gojar-5991	132	13	.	.	PUNCT
gojar-5991	133	1	37	37	NUM
gojar-5991	133	2	,	,	PUNCT
gojar-5991	133	3	pp	pp	ADJ
gojar-5991	133	4	.	.	PUNCT
gojar-5991	134	1	2967global	2967global	NUM
gojar-5991	134	2	online	online	ADJ
gojar-5991	134	3	journal	journal	NOUN
gojar-5991	134	4	of	of	ADP
gojar-5991	134	5	academic	academic	ADJ
gojar-5991	134	6	research	research	NOUN
gojar-5991	134	7	(	(	PUNCT
gojar-5991	134	8	gojar	gojar	NOUN
gojar-5991	134	9	)	)	PUNCT
gojar-5991	134	10	,	,	PUNCT
gojar-5991	134	11	vol	vol	NOUN
gojar-5991	134	12	.	.	PROPN
gojar-5991	134	13	4	4	NUM
gojar-5991	134	14	,	,	PUNCT
gojar-5991	134	15	no	no	INTJ
gojar-5991	134	16	.	.	NOUN
gojar-5991	134	17	1	1	NUM
gojar-5991	134	18	february	february	NOUN
gojar-5991	134	19	2025	2025	NUM
gojar-5991	134	20	39	39	NUM
gojar-5991	134	21	2975	2975	NUM
gojar-5991	134	22	)	)	PUNCT
gojar-5991	134	23	.	.	PUNCT
gojar-5991	135	1	diederikm	diederikm	PROPN
gojar-5991	135	2	,	,	PUNCT
gojar-5991	135	3	p.	p.	NOUN
gojar-5991	135	4	k	k	PROPN
gojar-5991	135	5	and	and	CCONJ
gojar-5991	135	6	jimmy	jimmy	PROPN
gojar-5991	135	7	,	,	PUNCT
gojar-5991	135	8	l.	l.	PROPN
gojar-5991	135	9	b.	b.	PROPN
gojar-5991	135	10	(	(	PUNCT
gojar-5991	135	11	2015	2015	NUM
gojar-5991	135	12	)	)	PUNCT
gojar-5991	135	13	.	.	PUNCT
gojar-5991	136	1	adam	adam	PROPN
gojar-5991	136	2	:	:	PUNCT
gojar-5991	136	3	a	a	DET
gojar-5991	136	4	method	method	NOUN
gojar-5991	136	5	for	for	ADP
gojar-5991	136	6	stochastic	stochastic	ADJ
gojar-5991	136	7	optimization	optimization	NOUN
gojar-5991	136	8	.	.	PUNCT
gojar-5991	137	1	published	publish	VERB
gojar-5991	137	2	as	as	ADP
gojar-5991	137	3	a	a	DET
gojar-5991	137	4	conference	conference	NOUN
gojar-5991	137	5	paper	paper	NOUN
gojar-5991	137	6	at	at	ADP
gojar-5991	137	7	iclr	iclr	NOUN
gojar-5991	137	8	,	,	PUNCT
gojar-5991	137	9	2015	2015	NUM
gojar-5991	137	10	.	.	PUNCT
gojar-5991	138	1	kingma	kingma	PROPN
gojar-5991	138	2	,	,	PUNCT
gojar-5991	138	3	d.	d.	PROPN
gojar-5991	138	4	p.	p.	PROPN
gojar-5991	138	5	,	,	PUNCT
gojar-5991	138	6	&	&	CCONJ
gojar-5991	138	7	ba	ba	PROPN
gojar-5991	138	8	,	,	PUNCT
gojar-5991	138	9	j.	j.	PROPN
gojar-5991	138	10	(	(	PUNCT
gojar-5991	138	11	2015	2015	NUM
gojar-5991	138	12	)	)	PUNCT
gojar-5991	138	13	.	.	PUNCT
gojar-5991	139	1	"	"	PUNCT
gojar-5991	139	2	adam	adam	NOUN
gojar-5991	139	3	:	:	PUNCT
gojar-5991	139	4	a	a	DET
gojar-5991	139	5	method	method	NOUN
gojar-5991	139	6	for	for	ADP
gojar-5991	139	7	stochastic	stochastic	ADJ
gojar-5991	139	8	optimization	optimization	NOUN
gojar-5991	139	9	.	.	PUNCT
gojar-5991	139	10	"	"	PUNCT
gojar-5991	140	1	arxiv	arxiv	PROPN
gojar-5991	140	2	preprint	preprint	VERB
gojar-5991	140	3	arxiv:1412.6980	arxiv:1412.6980	NOUN
gojar-5991	140	4	.	.	PUNCT
gojar-5991	141	1	maplesoft	maplesoft	ADV
gojar-5991	141	2	.	.	PUNCT
gojar-5991	142	1	(	(	PUNCT
gojar-5991	142	2	2023	2023	NUM
gojar-5991	142	3	)	)	PUNCT
gojar-5991	142	4	.	.	PUNCT
gojar-5991	143	1	maple	maple	NOUN
gojar-5991	143	2	24	24	NUM
gojar-5991	143	3	documentation	documentation	NOUN
gojar-5991	143	4	.	.	PUNCT
gojar-5991	144	1	[	[	X
gojar-5991	144	2	online	online	X
gojar-5991	144	3	]	]	X
gojar-5991	144	4	.	.	PUNCT
gojar-5991	145	1	available	available	ADJ
gojar-5991	145	2	:	:	PUNCT
gojar-5991	145	3	https://www.maplesoft.com/documentation	https://www.maplesoft.com/documentation	PROPN
gojar-5991	145	4	.	.	PUNCT
gojar-5991	146	1	nesterov	nesterov	PROPN
gojar-5991	146	2	,	,	PUNCT
gojar-5991	146	3	y.	y.	PROPN
gojar-5991	146	4	(	(	PUNCT
gojar-5991	146	5	1983	1983	NUM
gojar-5991	146	6	)	)	PUNCT
gojar-5991	146	7	.	.	PUNCT
gojar-5991	147	1	a	a	DET
gojar-5991	147	2	method	method	NOUN
gojar-5991	147	3	of	of	ADP
gojar-5991	147	4	solving	solve	VERB
gojar-5991	147	5	a	a	DET
gojar-5991	147	6	convex	convex	ADJ
gojar-5991	147	7	programming	programming	NOUN
gojar-5991	147	8	problem	problem	NOUN
gojar-5991	147	9	with	with	ADP
gojar-5991	147	10	convergence	convergence	NOUN
gojar-5991	147	11	rate	rate	NOUN
gojar-5991	147	12	o(1	o(1	NOUN
gojar-5991	147	13	/	/	SYM
gojar-5991	147	14	k^2	k^2	PROPN
gojar-5991	147	15	)	)	PUNCT
gojar-5991	147	16	.	.	PUNCT
gojar-5991	148	1	dokladyakademiinauk	dokladyakademiinauk	NOUN
gojar-5991	148	2	sssr	sssr	NOUN
gojar-5991	148	3	,	,	PUNCT
gojar-5991	148	4	269(3	269(3	NUM
gojar-5991	148	5	)	)	PUNCT
gojar-5991	148	6	,	,	PUNCT
gojar-5991	148	7	543–547	543–547	NUM
gojar-5991	148	8	.	.	PUNCT
gojar-5991	149	1	nesterov	nesterov	PROPN
gojar-5991	149	2	,	,	PUNCT
gojar-5991	149	3	y.	y.	PROPN
gojar-5991	149	4	(	(	PUNCT
gojar-5991	149	5	2004	2004	NUM
gojar-5991	149	6	)	)	PUNCT
gojar-5991	149	7	.	.	PUNCT
gojar-5991	150	1	introductory	introductory	ADJ
gojar-5991	150	2	lectures	lecture	NOUN
gojar-5991	150	3	on	on	ADP
gojar-5991	150	4	convex	convex	ADJ
gojar-5991	150	5	optimization	optimization	NOUN
gojar-5991	150	6	:	:	PUNCT
gojar-5991	150	7	a	a	DET
gojar-5991	150	8	basic	basic	ADJ
gojar-5991	150	9	course	course	NOUN
gojar-5991	150	10	.	.	PUNCT
gojar-5991	151	1	springer	springer	NOUN
gojar-5991	151	2	.	.	PUNCT
gojar-5991	152	1	nocedal	nocedal	PROPN
gojar-5991	152	2	,	,	PUNCT
gojar-5991	152	3	j.	j.	PROPN
gojar-5991	152	4	,	,	PUNCT
gojar-5991	152	5	&	&	CCONJ
gojar-5991	152	6	wright	wright	PROPN
gojar-5991	152	7	,	,	PUNCT
gojar-5991	152	8	s.	s.	PROPN
gojar-5991	152	9	j.	j.	PROPN
gojar-5991	152	10	(	(	PUNCT
gojar-5991	152	11	2006	2006	NUM
gojar-5991	152	12	)	)	PUNCT
gojar-5991	152	13	.	.	PUNCT
gojar-5991	153	1	numerical	numerical	ADJ
gojar-5991	153	2	optimization	optimization	NOUN
gojar-5991	153	3	(	(	PUNCT
gojar-5991	153	4	2nd	2nd	ADJ
gojar-5991	153	5	ed	ed	NOUN
gojar-5991	153	6	.	.	PUNCT
gojar-5991	153	7	)	)	PUNCT
gojar-5991	153	8	.	.	PUNCT
gojar-5991	154	1	springer	springer	NOUN
gojar-5991	154	2	.	.	PUNCT
gojar-5991	155	1	noel	noel	PROPN
gojar-5991	155	2	j.	j.	PROPN
gojar-5991	155	3	(	(	PUNCT
gojar-5991	155	4	2023	2023	NUM
gojar-5991	155	5	)	)	PUNCT
gojar-5991	155	6	.	.	PUNCT
gojar-5991	156	1	nesterovs	nesterovs	PROPN
gojar-5991	156	2	method	method	PROPN
gojar-5991	156	3	for	for	ADP
gojar-5991	156	4	convex	convex	NOUN
gojar-5991	156	5	optimization	optimization	NOUN
gojar-5991	156	6	.	.	PUNCT
gojar-5991	157	1	society	society	NOUN
gojar-5991	157	2	for	for	ADP
gojar-5991	157	3	industrial	industrial	ADJ
gojar-5991	157	4	and	and	CCONJ
gojar-5991	157	5	applied	applied	ADJ
gojar-5991	157	6	mathematics	mathematic	NOUN
gojar-5991	157	7	.	.	PUNCT
gojar-5991	158	1	vol	vol	NOUN
gojar-5991	158	2	.	.	PROPN
gojar-5991	159	1	65	65	NUM
gojar-5991	159	2	,	,	PUNCT
gojar-5991	159	3	no	no	INTJ
gojar-5991	159	4	.	.	NOUN
gojar-5991	159	5	2	2	NUM
gojar-5991	159	6	,	,	PUNCT
gojar-5991	159	7	pp	pp	ADJ
gojar-5991	159	8	.	.	PUNCT
gojar-5991	160	1	539–562	539–562	NUM
gojar-5991	160	2	.	.	PUNCT
gojar-5991	161	1	polyak	polyak	NOUN
gojar-5991	161	2	,	,	PUNCT
gojar-5991	161	3	b.	b.	PROPN
gojar-5991	161	4	t.	t.	PROPN
gojar-5991	161	5	(	(	PUNCT
gojar-5991	161	6	1964	1964	NUM
gojar-5991	161	7	)	)	PUNCT
gojar-5991	161	8	.	.	PUNCT
gojar-5991	162	1	"	"	PUNCT
gojar-5991	162	2	some	some	DET
gojar-5991	162	3	methods	method	NOUN
gojar-5991	162	4	of	of	ADP
gojar-5991	162	5	speeding	speed	VERB
gojar-5991	162	6	up	up	ADP
gojar-5991	162	7	the	the	DET
gojar-5991	162	8	convergence	convergence	NOUN
gojar-5991	162	9	of	of	ADP
gojar-5991	162	10	iteration	iteration	NOUN
gojar-5991	162	11	methods	method	NOUN
gojar-5991	162	12	.	.	PUNCT
gojar-5991	162	13	"	"	PUNCT
gojar-5991	163	1	ussr	ussr	ADJ
gojar-5991	163	2	computational	computational	ADJ
gojar-5991	163	3	mathematics	mathematic	NOUN
gojar-5991	163	4	and	and	CCONJ
gojar-5991	163	5	mathematical	mathematical	ADJ
gojar-5991	163	6	physics	physics	NOUN
gojar-5991	163	7	,	,	PUNCT
gojar-5991	163	8	4(5	4(5	PROPN
gojar-5991	163	9	)	)	PUNCT
gojar-5991	163	10	,	,	PUNCT
gojar-5991	163	11	1	1	NUM
gojar-5991	163	12	-	-	SYM
gojar-5991	163	13	17	17	NUM
gojar-5991	163	14	.	.	PUNCT
gojar-5991	164	1	rahul	rahul	PROPN
gojar-5991	164	2	,	,	PUNCT
gojar-5991	164	3	a.	a.	NOUN
gojar-5991	164	4	(	(	PUNCT
gojar-5991	164	5	2023	2023	NUM
gojar-5991	164	6	)	)	PUNCT
gojar-5991	164	7	.	.	PUNCT
gojar-5991	165	1	complete	complete	ADJ
gojar-5991	165	2	guide	guide	NOUN
gojar-5991	165	3	to	to	ADP
gojar-5991	165	4	the	the	DET
gojar-5991	165	5	adam	adam	PROPN
gojar-5991	165	6	optimization	optimization	NOUN
gojar-5991	165	7	algorithm	algorithm	NOUN
gojar-5991	165	8	.	.	PUNCT
gojar-5991	166	1	https://builtin.com/machine-learning/adam-optimization	https://builtin.com/machine-learning/adam-optimization	NOUN
gojar-5991	166	2	.	.	PUNCT
gojar-5991	167	1	(	(	PUNCT
gojar-5991	167	2	retrieved	retrieve	VERB
gojar-5991	167	3	november	november	PROPN
gojar-5991	167	4	11	11	NUM
gojar-5991	167	5	,	,	PUNCT
gojar-5991	167	6	2024	2024	NUM
gojar-5991	167	7	)	)	PUNCT
gojar-5991	167	8	satyam	satyam	NOUN
gojar-5991	167	9	,	,	PUNCT
gojar-5991	167	10	t	t	PROPN
gojar-5991	167	11	(	(	PUNCT
gojar-5991	167	12	2024)/adagrad	2024)/adagrad	NUM
gojar-5991	167	13	optimizer	optimizer	NOUN
gojar-5991	167	14	explained	explain	VERB
gojar-5991	167	15	:	:	PUNCT
gojar-5991	167	16	how	how	SCONJ
gojar-5991	167	17	it	it	PRON
gojar-5991	167	18	works	work	VERB
gojar-5991	167	19	,	,	PUNCT
gojar-5991	167	20	implementation	implementation	NOUN
gojar-5991	167	21	,	,	PUNCT
gojar-5991	167	22	&	&	CCONJ
gojar-5991	167	23	comparisons	comparison	NOUN
gojar-5991	167	24	|	|	ADV
gojar-5991	167	25	datacamp	datacamp	NOUN
gojar-5991	167	26	www.gabormelli.com/rkb/root_mean_square_propagation_algorithm_(r	www.gabormelli.com/rkb/root_mean_square_propagation_algorithm_(r	X
gojar-5991	167	27	msprop	msprop	NOUN
gojar-5991	167	28	)	)	PUNCT
gojar-5991	167	29	(	(	PUNCT
gojar-5991	167	30	retrieved	retrieve	VERB
gojar-5991	167	31	november	november	PROPN
gojar-5991	167	32	11	11	NUM
gojar-5991	167	33	,	,	PUNCT
gojar-5991	167	34	2024	2024	NUM
gojar-5991	167	35	)	)	PUNCT
gojar-5991	167	36	.	.	PUNCT
gojar-5991	168	1	author	author	NOUN
gojar-5991	168	2	information	information	NOUN
gojar-5991	168	3	:	:	PUNCT
gojar-5991	168	4	mark	mark	PROPN
gojar-5991	168	5	laisin	laisin	PROPN
gojar-5991	168	6	is	be	AUX
gojar-5991	168	7	a	a	DET
gojar-5991	168	8	professor	professor	NOUN
gojar-5991	168	9	of	of	ADP
gojar-5991	168	10	applied	apply	VERB
gojar-5991	168	11	mathematics	mathematic	NOUN
gojar-5991	168	12	at	at	ADP
gojar-5991	168	13	chukwuemeka	chukwuemeka	PROPN
gojar-5991	168	14	odumegwu	odumegwu	PROPN
gojar-5991	168	15	ojukwu	ojukwu	PROPN
gojar-5991	168	16	university	university	PROPN
gojar-5991	168	17	,	,	PUNCT
gojar-5991	168	18	uli	uli	PROPN
gojar-5991	168	19	,	,	PUNCT
gojar-5991	168	20	anambra	anambra	PROPN
gojar-5991	168	21	state	state	PROPN
gojar-5991	168	22	,	,	PUNCT
gojar-5991	168	23	nigeria	nigeria	PROPN
gojar-5991	168	24	.	.	PUNCT
gojar-5991	169	1	email	email	NOUN
gojar-5991	169	2	:	:	PUNCT
gojar-5991	169	3	laisinmark@gmail.com	laisinmark@gmail.com	X
gojar-5991	170	1	rosemary	rosemary	PROPN
gojar-5991	170	2	u.	u.	PROPN
gojar-5991	170	3	adigwe	adigwe	PROPN
gojar-5991	170	4	is	be	AUX
gojar-5991	170	5	of	of	ADP
gojar-5991	170	6	the	the	DET
gojar-5991	170	7	department	department	NOUN
gojar-5991	170	8	of	of	ADP
gojar-5991	170	9	mathematics	mathematics	PROPN
gojar-5991	170	10	,	,	PUNCT
gojar-5991	170	11	chukwuemeka	chukwuemeka	PROPN
gojar-5991	170	12	odumegwu	odumegwu	PROPN
gojar-5991	170	13	ojukwu	ojukwu	PROPN
gojar-5991	170	14	university	university	PROPN
gojar-5991	170	15	,	,	PUNCT
gojar-5991	170	16	uli	uli	PROPN
gojar-5991	170	17	,	,	PUNCT
gojar-5991	170	18	anambra	anambra	PROPN
gojar-5991	170	19	state	state	PROPN
gojar-5991	170	20	,	,	PUNCT
gojar-5991	170	21	nigeria	nigeria	PROPN
gojar-5991	170	22	.	.	PUNCT
gojar-5991	171	1	email	email	NOUN
gojar-5991	171	2	:	:	PUNCT
gojar-5991	171	3	global	global	ADJ
gojar-5991	171	4	online	online	PROPN
gojar-5991	171	5	journal	journal	PROPN
gojar-5991	171	6	of	of	ADP
gojar-5991	171	7	academic	academic	ADJ
gojar-5991	171	8	research	research	NOUN
gojar-5991	171	9	(	(	PUNCT
gojar-5991	171	10	gojar	gojar	NOUN
gojar-5991	171	11	)	)	PUNCT
gojar-5991	171	12	,	,	PUNCT
gojar-5991	171	13	vol	vol	NOUN
gojar-5991	171	14	.	.	PROPN
gojar-5991	171	15	4	4	NUM
gojar-5991	171	16	,	,	PUNCT
gojar-5991	171	17	no	no	INTJ
gojar-5991	171	18	.	.	NOUN
gojar-5991	171	19	1	1	NUM
gojar-5991	171	20	february	february	NOUN
gojar-5991	171	21	2025	2025	NUM
gojar-5991	171	22	40	40	NUM
gojar-5991	171	23	rosemaryadigwe14@gmail.com	rosemaryadigwe14@gmail.com	X
gojar-5991	171	24	apa	apa	PROPN
gojar-5991	171	25	laisin	laisin	PROPN
gojar-5991	171	26	,	,	PUNCT
gojar-5991	171	27	m.	m.	NOUN
gojar-5991	171	28	&	&	CCONJ
gojar-5991	171	29	adigwe	adigwe	PROPN
gojar-5991	171	30	,	,	PUNCT
gojar-5991	171	31	r.	r.	PROPN
gojar-5991	171	32	u.	u.	PROPN
gojar-5991	171	33	(	(	PUNCT
gojar-5991	171	34	2025	2025	NUM
gojar-5991	171	35	)	)	PUNCT
gojar-5991	171	36	.	.	PUNCT
gojar-5991	172	1	implementation	implementation	NOUN
gojar-5991	172	2	and	and	CCONJ
gojar-5991	172	3	comparative	comparative	ADJ
gojar-5991	172	4	analysis	analysis	NOUN
gojar-5991	172	5	of	of	ADP
gojar-5991	172	6	amgt	amgt	NOUN
gojar-5991	172	7	method	method	NOUN
gojar-5991	172	8	in	in	ADP
gojar-5991	172	9	maple	maple	NOUN
gojar-5991	172	10	24	24	NUM
gojar-5991	172	11	:	:	PUNCT
gojar-5991	172	12	convergence	convergence	NOUN
gojar-5991	172	13	performance	performance	NOUN
gojar-5991	172	14	in	in	ADP
gojar-5991	172	15	optimization	optimization	NOUN
gojar-5991	172	16	problems	problem	NOUN
gojar-5991	172	17	.	.	PUNCT
gojar-5991	173	1	global	global	ADJ
gojar-5991	173	2	online	online	PROPN
gojar-5991	173	3	journal	journal	PROPN
gojar-5991	173	4	of	of	ADP
gojar-5991	173	5	academic	academic	ADJ
gojar-5991	173	6	research	research	NOUN
gojar-5991	173	7	(	(	PUNCT
gojar-5991	173	8	gojar	gojar	NOUN
gojar-5991	173	9	)	)	PUNCT
gojar-5991	173	10	,	,	PUNCT
gojar-5991	173	11	4(2	4(2	NUM
gojar-5991	173	12	)	)	PUNCT
gojar-5991	173	13	,	,	PUNCT
gojar-5991	173	14	26	26	NUM
gojar-5991	173	15	-	-	SYM
gojar-5991	173	16	40	40	NUM
gojar-5991	173	17	.	.	PUNCT
gojar-5991	174	1	https://klamidas.com	https://klamidas.com	X
gojar-5991	174	2	/gojar	/gojar	NOUN
gojar-5991	174	3	-	-	PUNCT
gojar-5991	174	4	v4n1	v4n1	NOUN
gojar-5991	174	5	-	-	PUNCT
gojar-5991	174	6	2025	2025	NUM
gojar-5991	174	7	-	-	PUNCT
gojar-5991	174	8	02/.	02/.	NOUN
gojar-5991	174	9	mla	mla	NOUN
gojar-5991	174	10	laisin	laisin	VERB
gojar-5991	174	11	,	,	PUNCT
gojar-5991	174	12	mark	mark	NOUN
gojar-5991	174	13	and	and	CCONJ
gojar-5991	174	14	adigwe	adigwe	PROPN
gojar-5991	174	15	,	,	PUNCT
gojar-5991	174	16	rosemary	rosemary	ADJ
gojar-5991	174	17	u.	u.	NOUN
gojar-5991	175	1	“	"	PUNCT
gojar-5991	175	2	implementation	implementation	NOUN
gojar-5991	175	3	and	and	CCONJ
gojar-5991	175	4	comparative	comparative	ADJ
gojar-5991	175	5	analysis	analysis	NOUN
gojar-5991	175	6	of	of	ADP
gojar-5991	175	7	amgt	amgt	NOUN
gojar-5991	175	8	method	method	NOUN
gojar-5991	175	9	in	in	ADP
gojar-5991	175	10	maple	maple	NOUN
gojar-5991	175	11	24	24	NUM
gojar-5991	175	12	:	:	PUNCT
gojar-5991	175	13	convergence	convergence	NOUN
gojar-5991	175	14	performance	performance	NOUN
gojar-5991	175	15	in	in	ADP
gojar-5991	175	16	optimization	optimization	NOUN
gojar-5991	175	17	problems	problem	NOUN
gojar-5991	175	18	”	"	PUNCT
gojar-5991	175	19	.	.	PUNCT
gojar-5991	176	1	global	global	ADJ
gojar-5991	176	2	online	online	PROPN
gojar-5991	176	3	journal	journal	PROPN
gojar-5991	176	4	of	of	ADP
gojar-5991	176	5	academic	academic	ADJ
gojar-5991	176	6	research	research	NOUN
gojar-5991	176	7	(	(	PUNCT
gojar-5991	176	8	gojar	gojar	NOUN
gojar-5991	176	9	)	)	PUNCT
gojar-5991	176	10	,	,	PUNCT
gojar-5991	176	11	vol	vol	NOUN
gojar-5991	176	12	.	.	PROPN
gojar-5991	176	13	4	4	NUM
gojar-5991	176	14	,	,	PUNCT
gojar-5991	176	15	no	no	INTJ
gojar-5991	176	16	.	.	NOUN
gojar-5991	176	17	1	1	NUM
gojar-5991	176	18	,	,	PUNCT
gojar-5991	176	19	2025	2025	NUM
gojar-5991	176	20	,	,	PUNCT
gojar-5991	176	21	pp	pp	ADJ
gojar-5991	176	22	.	.	PUNCT
gojar-5991	177	1	26	26	NUM
gojar-5991	177	2	-	-	SYM
gojar-5991	177	3	40	40	NUM
gojar-5991	177	4	.	.	PUNCT
gojar-5991	178	1	https://klamidas.com	https://klamidas.com	X
gojar-5991	178	2	/gojar	/gojar	NOUN
gojar-5991	178	3	-	-	PUNCT
gojar-5991	178	4	v4n1	v4n1	NOUN
gojar-5991	178	5	-	-	PUNCT
gojar-5991	178	6	2025	2025	NUM
gojar-5991	178	7	-	-	PUNCT
gojar-5991	178	8	02/.	02/.	NOUN