id	sid	tid	token	lemma	pos
fbem-28216	1	1	frontiers	frontier	NOUN
fbem-28216	1	2	in	in	ADP
fbem-28216	1	3	business	business	NOUN
fbem-28216	1	4	,	,	PUNCT
fbem-28216	1	5	economics	economic	NOUN
fbem-28216	1	6	and	and	CCONJ
fbem-28216	1	7	management	management	NOUN
fbem-28216	1	8	issn	issn	PROPN
fbem-28216	1	9	:	:	PUNCT
fbem-28216	1	10	2766	2766	NUM
fbem-28216	1	11	-	-	PUNCT
fbem-28216	1	12	824x	824x	NUM
fbem-28216	1	13	|	|	ADJ
fbem-28216	1	14	vol	vol	NOUN
fbem-28216	1	15	.	.	PROPN
fbem-28216	1	16	17	17	NUM
fbem-28216	1	17	,	,	PUNCT
fbem-28216	1	18	no	no	INTJ
fbem-28216	1	19	.	.	NOUN
fbem-28216	1	20	3	3	NUM
fbem-28216	1	21	,	,	PUNCT
fbem-28216	1	22	2024	2024	NUM
fbem-28216	1	23	25	25	NUM
fbem-28216	1	24	stock	stock	NOUN
fbem-28216	1	25	price	price	NOUN
fbem-28216	1	26	forecasting	forecasting	NOUN
fbem-28216	1	27	based	base	VERB
fbem-28216	1	28	on	on	ADP
fbem-28216	1	29	the	the	DET
fbem-28216	1	30	gauss	gauss	PROPN
fbem-28216	1	31	-	-	PUNCT
fbem-28216	1	32	newton	newton	PROPN
fbem-28216	1	33	method	method	PROPN
fbem-28216	1	34	quan	quan	PROPN
fbem-28216	1	35	zhou	zhou	PROPN
fbem-28216	1	36	department	department	PROPN
fbem-28216	1	37	of	of	ADP
fbem-28216	1	38	mathmatics	mathmatics	PROPN
fbem-28216	1	39	and	and	CCONJ
fbem-28216	1	40	statistics	statistic	NOUN
fbem-28216	1	41	,	,	PUNCT
fbem-28216	1	42	donghua	donghua	PROPN
fbem-28216	1	43	university	university	PROPN
fbem-28216	1	44	,	,	PUNCT
fbem-28216	1	45	shanghai	shanghai	PROPN
fbem-28216	1	46	,	,	PUNCT
fbem-28216	1	47	china	china	PROPN
fbem-28216	1	48	19129663622@qq.com	19129663622@qq.com	NUM
fbem-28216	1	49	abstract	abstract	NOUN
fbem-28216	1	50	:	:	PUNCT
fbem-28216	1	51	the	the	DET
fbem-28216	1	52	purpose	purpose	NOUN
fbem-28216	1	53	of	of	ADP
fbem-28216	1	54	this	this	DET
fbem-28216	1	55	study	study	NOUN
fbem-28216	1	56	is	be	AUX
fbem-28216	1	57	to	to	PART
fbem-28216	1	58	explore	explore	VERB
fbem-28216	1	59	the	the	DET
fbem-28216	1	60	stock	stock	NOUN
fbem-28216	1	61	price	price	NOUN
fbem-28216	1	62	forecasting	forecasting	NOUN
fbem-28216	1	63	method	method	NOUN
fbem-28216	1	64	based	base	VERB
fbem-28216	1	65	on	on	ADP
fbem-28216	1	66	the	the	DET
fbem-28216	1	67	gauss	gauss	PROPN
fbem-28216	1	68	-	-	PUNCT
fbem-28216	1	69	newton	newton	PROPN
fbem-28216	1	70	method	method	NOUN
fbem-28216	1	71	.	.	PUNCT
fbem-28216	2	1	in	in	ADP
fbem-28216	2	2	this	this	DET
fbem-28216	2	3	work	work	NOUN
fbem-28216	2	4	,	,	PUNCT
fbem-28216	2	5	through	through	ADP
fbem-28216	2	6	a	a	DET
fbem-28216	2	7	literature	literature	NOUN
fbem-28216	2	8	review	review	NOUN
fbem-28216	2	9	,	,	PUNCT
fbem-28216	2	10	the	the	DET
fbem-28216	2	11	existing	exist	VERB
fbem-28216	2	12	stock	stock	NOUN
fbem-28216	2	13	forecasting	forecasting	NOUN
fbem-28216	2	14	methods	method	NOUN
fbem-28216	2	15	were	be	AUX
fbem-28216	2	16	analyzed	analyze	VERB
fbem-28216	2	17	,	,	PUNCT
fbem-28216	2	18	and	and	CCONJ
fbem-28216	2	19	it	it	PRON
fbem-28216	2	20	was	be	AUX
fbem-28216	2	21	noted	note	VERB
fbem-28216	2	22	that	that	SCONJ
fbem-28216	2	23	there	there	PRON
fbem-28216	2	24	is	be	VERB
fbem-28216	2	25	a	a	DET
fbem-28216	2	26	lack	lack	NOUN
fbem-28216	2	27	of	of	ADP
fbem-28216	2	28	attempts	attempt	NOUN
fbem-28216	2	29	to	to	PART
fbem-28216	2	30	construct	construct	VERB
fbem-28216	2	31	nonlinear	nonlinear	ADJ
fbem-28216	2	32	regression	regression	NOUN
fbem-28216	2	33	models	model	NOUN
fbem-28216	2	34	using	use	VERB
fbem-28216	2	35	the	the	DET
fbem-28216	2	36	gauss	gauss	PROPN
fbem-28216	2	37	-	-	PUNCT
fbem-28216	2	38	newton	newton	PROPN
fbem-28216	2	39	method	method	NOUN
fbem-28216	2	40	in	in	ADP
fbem-28216	2	41	existing	exist	VERB
fbem-28216	2	42	research	research	NOUN
fbem-28216	2	43	.	.	PUNCT
fbem-28216	3	1	the	the	DET
fbem-28216	3	2	practical	practical	ADJ
fbem-28216	3	3	operation	operation	NOUN
fbem-28216	3	4	section	section	NOUN
fbem-28216	3	5	provides	provide	VERB
fbem-28216	3	6	a	a	DET
fbem-28216	3	7	detailed	detailed	ADJ
fbem-28216	3	8	description	description	NOUN
fbem-28216	3	9	of	of	ADP
fbem-28216	3	10	data	datum	NOUN
fbem-28216	3	11	reading	reading	NOUN
fbem-28216	3	12	,	,	PUNCT
fbem-28216	3	13	fitting	fitting	ADJ
fbem-28216	3	14	of	of	ADP
fbem-28216	3	15	the	the	DET
fbem-28216	3	16	logarithmic	logarithmic	ADJ
fbem-28216	3	17	regression	regression	NOUN
fbem-28216	3	18	model	model	NOUN
fbem-28216	3	19	,	,	PUNCT
fbem-28216	3	20	the	the	DET
fbem-28216	3	21	construction	construction	NOUN
fbem-28216	3	22	process	process	NOUN
fbem-28216	3	23	of	of	ADP
fbem-28216	3	24	the	the	DET
fbem-28216	3	25	exponential	exponential	ADJ
fbem-28216	3	26	regression	regression	NOUN
fbem-28216	3	27	model	model	NOUN
fbem-28216	3	28	and	and	CCONJ
fbem-28216	3	29	the	the	DET
fbem-28216	3	30	power	power	NOUN
fbem-28216	3	31	function	function	PROPN
fbem-28216	3	32	regression	regression	NOUN
fbem-28216	3	33	model	model	NOUN
fbem-28216	3	34	,	,	PUNCT
fbem-28216	3	35	as	as	ADV
fbem-28216	3	36	well	well	ADV
fbem-28216	3	37	as	as	ADP
fbem-28216	3	38	parameter	parameter	NOUN
fbem-28216	3	39	estimation	estimation	NOUN
fbem-28216	3	40	and	and	CCONJ
fbem-28216	3	41	forecasting	forecasting	NOUN
fbem-28216	3	42	using	use	VERB
fbem-28216	3	43	the	the	DET
fbem-28216	3	44	gauss	gauss	PROPN
fbem-28216	3	45	-	-	PUNCT
fbem-28216	3	46	newton	newton	PROPN
fbem-28216	3	47	iterative	iterative	NOUN
fbem-28216	3	48	method	method	NOUN
fbem-28216	3	49	.	.	PUNCT
fbem-28216	4	1	by	by	ADP
fbem-28216	4	2	comparing	compare	VERB
fbem-28216	4	3	the	the	DET
fbem-28216	4	4	mean	mean	ADJ
fbem-28216	4	5	square	square	ADJ
fbem-28216	4	6	error	error	NOUN
fbem-28216	4	7	and	and	CCONJ
fbem-28216	4	8	graphical	graphical	ADJ
fbem-28216	4	9	analysis	analysis	NOUN
fbem-28216	4	10	of	of	ADP
fbem-28216	4	11	different	different	ADJ
fbem-28216	4	12	models	model	NOUN
fbem-28216	4	13	,	,	PUNCT
fbem-28216	4	14	the	the	DET
fbem-28216	4	15	optimal	optimal	ADJ
fbem-28216	4	16	model	model	NOUN
fbem-28216	4	17	is	be	AUX
fbem-28216	4	18	determined	determine	VERB
fbem-28216	4	19	.	.	PUNCT
fbem-28216	5	1	the	the	DET
fbem-28216	5	2	significance	significance	NOUN
fbem-28216	5	3	of	of	ADP
fbem-28216	5	4	this	this	DET
fbem-28216	5	5	study	study	NOUN
fbem-28216	5	6	lies	lie	VERB
fbem-28216	5	7	in	in	ADP
fbem-28216	5	8	providing	provide	VERB
fbem-28216	5	9	investors	investor	NOUN
fbem-28216	5	10	with	with	ADP
fbem-28216	5	11	a	a	DET
fbem-28216	5	12	new	new	ADJ
fbem-28216	5	13	tool	tool	NOUN
fbem-28216	5	14	for	for	ADP
fbem-28216	5	15	understanding	understand	VERB
fbem-28216	5	16	market	market	NOUN
fbem-28216	5	17	fluctuations	fluctuation	NOUN
fbem-28216	5	18	,	,	PUNCT
fbem-28216	5	19	which	which	PRON
fbem-28216	5	20	helps	help	VERB
fbem-28216	5	21	in	in	ADP
fbem-28216	5	22	formulating	formulate	VERB
fbem-28216	5	23	more	more	ADJ
fbem-28216	5	24	scientific	scientific	ADJ
fbem-28216	5	25	risk	risk	NOUN
fbem-28216	5	26	management	management	NOUN
fbem-28216	5	27	strategies	strategy	NOUN
fbem-28216	5	28	.	.	PUNCT
fbem-28216	6	1	keywords	keyword	NOUN
fbem-28216	6	2	:	:	PUNCT
fbem-28216	6	3	stock	stock	NOUN
fbem-28216	6	4	price	price	NOUN
fbem-28216	6	5	forecasting	forecasting	NOUN
fbem-28216	6	6	,	,	PUNCT
fbem-28216	6	7	gauss	gauss	PROPN
fbem-28216	6	8	-	-	PUNCT
fbem-28216	6	9	newton	newton	PROPN
fbem-28216	6	10	method	method	NOUN
fbem-28216	6	11	,	,	PUNCT
fbem-28216	6	12	nonlinear	nonlinear	ADJ
fbem-28216	6	13	regression	regression	NOUN
fbem-28216	6	14	,	,	PUNCT
fbem-28216	6	15	risk	risk	NOUN
fbem-28216	6	16	management	management	NOUN
fbem-28216	6	17	,	,	PUNCT
fbem-28216	6	18	market	market	NOUN
fbem-28216	6	19	volatility	volatility	NOUN
fbem-28216	6	20	.	.	PUNCT
fbem-28216	7	1	1	1	X
fbem-28216	7	2	.	.	X
fbem-28216	7	3	introduction	introduction	NOUN
fbem-28216	7	4	in	in	ADP
fbem-28216	7	5	the	the	DET
fbem-28216	7	6	current	current	ADJ
fbem-28216	7	7	economic	economic	ADJ
fbem-28216	7	8	situation	situation	NOUN
fbem-28216	7	9	in	in	ADP
fbem-28216	7	10	china	china	PROPN
fbem-28216	7	11	,	,	PUNCT
fbem-28216	7	12	the	the	DET
fbem-28216	7	13	stock	stock	NOUN
fbem-28216	7	14	market	market	NOUN
fbem-28216	7	15	is	be	AUX
fbem-28216	7	16	facing	face	VERB
fbem-28216	7	17	some	some	DET
fbem-28216	7	18	challenges	challenge	NOUN
fbem-28216	7	19	and	and	CCONJ
fbem-28216	7	20	opportunities	opportunity	NOUN
fbem-28216	7	21	.	.	PUNCT
fbem-28216	8	1	in	in	ADP
fbem-28216	8	2	recent	recent	ADJ
fbem-28216	8	3	years	year	NOUN
fbem-28216	8	4	,	,	PUNCT
fbem-28216	8	5	due	due	ADP
fbem-28216	8	6	to	to	ADP
fbem-28216	8	7	factors	factor	NOUN
fbem-28216	8	8	such	such	ADJ
fbem-28216	8	9	as	as	ADP
fbem-28216	8	10	the	the	DET
fbem-28216	8	11	pandemic	pandemic	NOUN
fbem-28216	8	12	,	,	PUNCT
fbem-28216	8	13	the	the	DET
fbem-28216	8	14	chinese	chinese	ADJ
fbem-28216	8	15	stock	stock	NOUN
fbem-28216	8	16	market	market	NOUN
fbem-28216	8	17	has	have	AUX
fbem-28216	8	18	experienced	experience	VERB
fbem-28216	8	19	several	several	ADJ
fbem-28216	8	20	ups	up	NOUN
fbem-28216	8	21	and	and	CCONJ
fbem-28216	8	22	downs	down	NOUN
fbem-28216	8	23	,	,	PUNCT
fbem-28216	8	24	with	with	ADP
fbem-28216	8	25	significant	significant	ADJ
fbem-28216	8	26	overall	overall	ADJ
fbem-28216	8	27	fluctuations	fluctuation	NOUN
fbem-28216	8	28	.	.	PUNCT
fbem-28216	9	1	however	however	ADV
fbem-28216	9	2	,	,	PUNCT
fbem-28216	9	3	as	as	SCONJ
fbem-28216	9	4	the	the	DET
fbem-28216	9	5	economic	economic	ADJ
fbem-28216	9	6	situation	situation	NOUN
fbem-28216	9	7	warms	warm	VERB
fbem-28216	9	8	up	up	ADP
fbem-28216	9	9	,	,	PUNCT
fbem-28216	9	10	the	the	DET
fbem-28216	9	11	number	number	NOUN
fbem-28216	9	12	of	of	ADP
fbem-28216	9	13	investors	investor	NOUN
fbem-28216	9	14	gradually	gradually	ADV
fbem-28216	9	15	increases	increase	VERB
fbem-28216	9	16	,	,	PUNCT
fbem-28216	9	17	and	and	CCONJ
fbem-28216	9	18	the	the	DET
fbem-28216	9	19	market	market	NOUN
fbem-28216	9	20	's	's	PART
fbem-28216	9	21	activity	activity	NOUN
fbem-28216	9	22	level	level	NOUN
fbem-28216	9	23	has	have	AUX
fbem-28216	9	24	also	also	ADV
fbem-28216	9	25	improved	improve	VERB
fbem-28216	9	26	.	.	PUNCT
fbem-28216	10	1	in	in	ADP
fbem-28216	10	2	addition	addition	NOUN
fbem-28216	10	3	,	,	PUNCT
fbem-28216	10	4	the	the	DET
fbem-28216	10	5	government	government	NOUN
fbem-28216	10	6	is	be	AUX
fbem-28216	10	7	also	also	ADV
fbem-28216	10	8	increasing	increase	VERB
fbem-28216	10	9	its	its	PRON
fbem-28216	10	10	regulatory	regulatory	ADJ
fbem-28216	10	11	efforts	effort	NOUN
fbem-28216	10	12	on	on	ADP
fbem-28216	10	13	the	the	DET
fbem-28216	10	14	capital	capital	NOUN
fbem-28216	10	15	market	market	NOUN
fbem-28216	10	16	to	to	PART
fbem-28216	10	17	enhance	enhance	VERB
fbem-28216	10	18	the	the	DET
fbem-28216	10	19	market	market	NOUN
fbem-28216	10	20	's	's	PART
fbem-28216	10	21	transparency	transparency	NOUN
fbem-28216	10	22	and	and	CCONJ
fbem-28216	10	23	stability	stability	NOUN
fbem-28216	10	24	.	.	PUNCT
fbem-28216	11	1	in	in	ADP
fbem-28216	11	2	the	the	DET
fbem-28216	11	3	short	short	ADJ
fbem-28216	11	4	term	term	NOUN
fbem-28216	11	5	,	,	PUNCT
fbem-28216	11	6	the	the	DET
fbem-28216	11	7	stock	stock	NOUN
fbem-28216	11	8	market	market	NOUN
fbem-28216	11	9	may	may	AUX
fbem-28216	11	10	fluctuate	fluctuate	VERB
fbem-28216	11	11	due	due	ADP
fbem-28216	11	12	to	to	ADP
fbem-28216	11	13	the	the	DET
fbem-28216	11	14	impact	impact	NOUN
fbem-28216	11	15	of	of	ADP
fbem-28216	11	16	macroeconomic	macroeconomic	ADJ
fbem-28216	11	17	fluctuations	fluctuation	NOUN
fbem-28216	11	18	and	and	CCONJ
fbem-28216	11	19	changes	change	NOUN
fbem-28216	11	20	in	in	ADP
fbem-28216	11	21	the	the	DET
fbem-28216	11	22	external	external	ADJ
fbem-28216	11	23	environment	environment	NOUN
fbem-28216	11	24	.	.	PUNCT
fbem-28216	12	1	but	but	CCONJ
fbem-28216	12	2	in	in	ADP
fbem-28216	12	3	the	the	DET
fbem-28216	12	4	long	long	ADJ
fbem-28216	12	5	run	run	NOUN
fbem-28216	12	6	,	,	PUNCT
fbem-28216	12	7	the	the	DET
fbem-28216	12	8	continuous	continuous	ADJ
fbem-28216	12	9	growth	growth	NOUN
fbem-28216	12	10	trend	trend	NOUN
fbem-28216	12	11	of	of	ADP
fbem-28216	12	12	china	china	PROPN
fbem-28216	12	13	's	's	PART
fbem-28216	12	14	economy	economy	NOUN
fbem-28216	12	15	will	will	AUX
fbem-28216	12	16	provide	provide	VERB
fbem-28216	12	17	momentum	momentum	NOUN
fbem-28216	12	18	for	for	ADP
fbem-28216	12	19	the	the	DET
fbem-28216	12	20	growth	growth	NOUN
fbem-28216	12	21	of	of	ADP
fbem-28216	12	22	the	the	DET
fbem-28216	12	23	stock	stock	NOUN
fbem-28216	12	24	market	market	NOUN
fbem-28216	12	25	.	.	PUNCT
fbem-28216	13	1	stocks	stock	NOUN
fbem-28216	13	2	hold	hold	VERB
fbem-28216	13	3	an	an	DET
fbem-28216	13	4	indispensable	indispensable	ADJ
fbem-28216	13	5	importance	importance	NOUN
fbem-28216	13	6	in	in	ADP
fbem-28216	13	7	today	today	NOUN
fbem-28216	13	8	's	's	PART
fbem-28216	13	9	society	society	NOUN
fbem-28216	13	10	.	.	PUNCT
fbem-28216	14	1	for	for	ADP
fbem-28216	14	2	a	a	DET
fbem-28216	14	3	country	country	NOUN
fbem-28216	14	4	,	,	PUNCT
fbem-28216	14	5	stock	stock	NOUN
fbem-28216	14	6	trading	trading	NOUN
fbem-28216	14	7	activities	activity	NOUN
fbem-28216	14	8	can	can	AUX
fbem-28216	14	9	stimulate	stimulate	VERB
fbem-28216	14	10	the	the	DET
fbem-28216	14	11	activity	activity	NOUN
fbem-28216	14	12	and	and	CCONJ
fbem-28216	14	13	development	development	NOUN
fbem-28216	14	14	of	of	ADP
fbem-28216	14	15	the	the	DET
fbem-28216	14	16	capital	capital	NOUN
fbem-28216	14	17	market	market	NOUN
fbem-28216	14	18	,	,	PUNCT
fbem-28216	14	19	which	which	PRON
fbem-28216	14	20	helps	help	VERB
fbem-28216	14	21	attract	attract	VERB
fbem-28216	14	22	high	high	ADJ
fbem-28216	14	23	-	-	PUNCT
fbem-28216	14	24	quality	quality	NOUN
fbem-28216	14	25	companies	company	NOUN
fbem-28216	14	26	to	to	PART
fbem-28216	14	27	go	go	VERB
fbem-28216	14	28	public	public	ADJ
fbem-28216	14	29	and	and	CCONJ
fbem-28216	14	30	raise	raise	VERB
fbem-28216	14	31	funds	fund	NOUN
fbem-28216	14	32	,	,	PUNCT
fbem-28216	14	33	further	far	ADV
fbem-28216	14	34	promoting	promote	VERB
fbem-28216	14	35	the	the	DET
fbem-28216	14	36	country	country	NOUN
fbem-28216	14	37	's	's	PART
fbem-28216	14	38	economic	economic	ADJ
fbem-28216	14	39	development	development	NOUN
fbem-28216	14	40	.	.	PUNCT
fbem-28216	15	1	however	however	ADV
fbem-28216	15	2	,	,	PUNCT
fbem-28216	15	3	the	the	DET
fbem-28216	15	4	fluctuations	fluctuation	NOUN
fbem-28216	15	5	in	in	ADP
fbem-28216	15	6	the	the	DET
fbem-28216	15	7	stock	stock	NOUN
fbem-28216	15	8	market	market	NOUN
fbem-28216	15	9	can	can	AUX
fbem-28216	15	10	also	also	ADV
fbem-28216	15	11	lead	lead	VERB
fbem-28216	15	12	to	to	ADP
fbem-28216	15	13	financial	financial	ADJ
fbem-28216	15	14	risks	risk	NOUN
fbem-28216	15	15	and	and	CCONJ
fbem-28216	15	16	economic	economic	ADJ
fbem-28216	15	17	instability	instability	NOUN
fbem-28216	15	18	,	,	PUNCT
fbem-28216	15	19	so	so	CCONJ
fbem-28216	15	20	the	the	DET
fbem-28216	15	21	country	country	NOUN
fbem-28216	15	22	needs	need	VERB
fbem-28216	15	23	to	to	PART
fbem-28216	15	24	strengthen	strengthen	VERB
fbem-28216	15	25	regulatory	regulatory	ADJ
fbem-28216	15	26	efforts	effort	NOUN
fbem-28216	15	27	to	to	PART
fbem-28216	15	28	guard	guard	VERB
fbem-28216	15	29	against	against	ADP
fbem-28216	15	30	systemic	systemic	ADJ
fbem-28216	15	31	risks	risk	NOUN
fbem-28216	15	32	.	.	PUNCT
fbem-28216	16	1	for	for	ADP
fbem-28216	16	2	enterprises	enterprise	NOUN
fbem-28216	16	3	,	,	PUNCT
fbem-28216	16	4	the	the	DET
fbem-28216	16	5	stock	stock	NOUN
fbem-28216	16	6	market	market	NOUN
fbem-28216	16	7	is	be	AUX
fbem-28216	16	8	an	an	DET
fbem-28216	16	9	important	important	ADJ
fbem-28216	16	10	channel	channel	NOUN
fbem-28216	16	11	for	for	ADP
fbem-28216	16	12	financing	financing	NOUN
fbem-28216	16	13	.	.	PUNCT
fbem-28216	17	1	by	by	ADP
fbem-28216	17	2	issuing	issue	VERB
fbem-28216	17	3	stocks	stock	NOUN
fbem-28216	17	4	,	,	PUNCT
fbem-28216	17	5	companies	company	NOUN
fbem-28216	17	6	can	can	AUX
fbem-28216	17	7	raise	raise	VERB
fbem-28216	17	8	funds	fund	NOUN
fbem-28216	17	9	for	for	ADP
fbem-28216	17	10	business	business	NOUN
fbem-28216	17	11	expansion	expansion	NOUN
fbem-28216	17	12	,	,	PUNCT
fbem-28216	17	13	technological	technological	ADJ
fbem-28216	17	14	innovation	innovation	NOUN
fbem-28216	17	15	,	,	PUNCT
fbem-28216	17	16	and	and	CCONJ
fbem-28216	17	17	other	other	ADJ
fbem-28216	17	18	activities	activity	NOUN
fbem-28216	17	19	.	.	PUNCT
fbem-28216	18	1	moreover	moreover	ADV
fbem-28216	18	2	,	,	PUNCT
fbem-28216	18	3	the	the	DET
fbem-28216	18	4	stock	stock	NOUN
fbem-28216	18	5	price	price	NOUN
fbem-28216	18	6	performance	performance	NOUN
fbem-28216	18	7	after	after	SCONJ
fbem-28216	18	8	a	a	DET
fbem-28216	18	9	company	company	NOUN
fbem-28216	18	10	goes	go	VERB
fbem-28216	18	11	public	public	ADJ
fbem-28216	18	12	will	will	AUX
fbem-28216	18	13	directly	directly	ADV
fbem-28216	18	14	affect	affect	VERB
fbem-28216	18	15	the	the	DET
fbem-28216	18	16	company	company	NOUN
fbem-28216	18	17	's	's	PART
fbem-28216	18	18	overall	overall	ADJ
fbem-28216	18	19	valuation	valuation	NOUN
fbem-28216	18	20	and	and	CCONJ
fbem-28216	18	21	business	business	NOUN
fbem-28216	18	22	development	development	NOUN
fbem-28216	18	23	.	.	PUNCT
fbem-28216	19	1	therefore	therefore	ADV
fbem-28216	19	2	,	,	PUNCT
fbem-28216	19	3	companies	company	NOUN
fbem-28216	19	4	also	also	ADV
fbem-28216	19	5	need	need	VERB
fbem-28216	19	6	to	to	PART
fbem-28216	19	7	enhance	enhance	VERB
fbem-28216	19	8	risk	risk	NOUN
fbem-28216	19	9	management	management	NOUN
fbem-28216	19	10	.	.	PUNCT
fbem-28216	20	1	for	for	ADP
fbem-28216	20	2	individual	individual	ADJ
fbem-28216	20	3	investors	investor	NOUN
fbem-28216	20	4	,	,	PUNCT
fbem-28216	20	5	stock	stock	NOUN
fbem-28216	20	6	trading	trading	NOUN
fbem-28216	20	7	can	can	AUX
fbem-28216	20	8	provide	provide	VERB
fbem-28216	20	9	a	a	DET
fbem-28216	20	10	certain	certain	ADJ
fbem-28216	20	11	level	level	NOUN
fbem-28216	20	12	of	of	ADP
fbem-28216	20	13	investment	investment	NOUN
fbem-28216	20	14	returns	return	NOUN
fbem-28216	20	15	.	.	PUNCT
fbem-28216	21	1	however	however	ADV
fbem-28216	21	2	,	,	PUNCT
fbem-28216	21	3	stock	stock	NOUN
fbem-28216	21	4	trading	trading	NOUN
fbem-28216	21	5	also	also	ADV
fbem-28216	21	6	carries	carry	VERB
fbem-28216	21	7	market	market	NOUN
fbem-28216	21	8	risks	risk	NOUN
fbem-28216	21	9	and	and	CCONJ
fbem-28216	21	10	requires	require	VERB
fbem-28216	21	11	investors	investor	NOUN
fbem-28216	21	12	to	to	PART
fbem-28216	21	13	have	have	VERB
fbem-28216	21	14	a	a	DET
fbem-28216	21	15	certain	certain	ADJ
fbem-28216	21	16	level	level	NOUN
fbem-28216	21	17	of	of	ADP
fbem-28216	21	18	financial	financial	ADJ
fbem-28216	21	19	knowledge	knowledge	NOUN
fbem-28216	21	20	and	and	CCONJ
fbem-28216	21	21	awareness	awareness	NOUN
fbem-28216	21	22	of	of	ADP
fbem-28216	21	23	risks	risk	NOUN
fbem-28216	21	24	,	,	PUNCT
fbem-28216	21	25	as	as	ADV
fbem-28216	21	26	well	well	ADV
fbem-28216	21	27	as	as	ADP
fbem-28216	21	28	reasonable	reasonable	ADJ
fbem-28216	21	29	investment	investment	NOUN
fbem-28216	21	30	strategies	strategy	NOUN
fbem-28216	21	31	.	.	PUNCT
fbem-28216	22	1	2	2	X
fbem-28216	22	2	.	.	X
fbem-28216	22	3	literature	literature	NOUN
fbem-28216	22	4	review	review	NOUN
fbem-28216	22	5	and	and	CCONJ
fbem-28216	22	6	significance	significance	NOUN
fbem-28216	22	7	of	of	ADP
fbem-28216	22	8	the	the	DET
fbem-28216	22	9	study	study	NOUN
fbem-28216	22	10	2.1	2.1	NUM
fbem-28216	22	11	.	.	PUNCT
fbem-28216	23	1	literature	literature	NOUN
fbem-28216	23	2	review	review	VERB
fbem-28216	23	3	there	there	PRON
fbem-28216	23	4	are	be	VERB
fbem-28216	23	5	various	various	ADJ
fbem-28216	23	6	methods	method	NOUN
fbem-28216	23	7	and	and	CCONJ
fbem-28216	23	8	tools	tool	NOUN
fbem-28216	23	9	for	for	ADP
fbem-28216	23	10	stock	stock	NOUN
fbem-28216	23	11	prediction	prediction	NOUN
fbem-28216	23	12	.	.	PUNCT
fbem-28216	24	1	ma	ma	PROPN
fbem-28216	24	2	jingjing	jingjing	PROPN
fbem-28216	24	3	from	from	ADP
fbem-28216	24	4	sichuan	sichuan	PROPN
fbem-28216	24	5	college	college	PROPN
fbem-28216	24	6	of	of	ADP
fbem-28216	24	7	finance	finance	NOUN
fbem-28216	24	8	and	and	CCONJ
fbem-28216	24	9	economics	economic	NOUN
fbem-28216	24	10	(	(	PUNCT
fbem-28216	24	11	2024	2024	NUM
fbem-28216	24	12	)	)	PUNCT
fbem-28216	24	13	used	use	VERB
fbem-28216	24	14	k	k	ADJ
fbem-28216	24	15	-	-	PUNCT
fbem-28216	24	16	line	line	NOUN
fbem-28216	24	17	chart	chart	NOUN
fbem-28216	24	18	analysis	analysis	NOUN
fbem-28216	24	19	to	to	PART
fbem-28216	24	20	analyze	analyze	VERB
fbem-28216	24	21	the	the	DET
fbem-28216	24	22	overall	overall	ADJ
fbem-28216	24	23	trend	trend	NOUN
fbem-28216	24	24	of	of	ADP
fbem-28216	24	25	stock	stock	NOUN
fbem-28216	24	26	price	price	NOUN
fbem-28216	24	27	data	datum	NOUN
fbem-28216	24	28	,	,	PUNCT
fbem-28216	24	29	and	and	CCONJ
fbem-28216	24	30	then	then	ADV
fbem-28216	24	31	used	use	VERB
fbem-28216	24	32	logistic	logistic	ADJ
fbem-28216	24	33	regression	regression	NOUN
fbem-28216	24	34	and	and	CCONJ
fbem-28216	24	35	random	random	ADJ
fbem-28216	24	36	forest	forest	NOUN
fbem-28216	24	37	,	,	PUNCT
fbem-28216	24	38	two	two	NUM
fbem-28216	24	39	classification	classification	NOUN
fbem-28216	24	40	models	model	NOUN
fbem-28216	24	41	,	,	PUNCT
fbem-28216	24	42	to	to	PART
fbem-28216	24	43	predict	predict	VERB
fbem-28216	24	44	the	the	DET
fbem-28216	24	45	rise	rise	NOUN
fbem-28216	24	46	and	and	CCONJ
fbem-28216	24	47	fall	fall	NOUN
fbem-28216	24	48	of	of	ADP
fbem-28216	24	49	stock	stock	NOUN
fbem-28216	24	50	prices	price	NOUN
fbem-28216	24	51	and	and	CCONJ
fbem-28216	24	52	evaluate	evaluate	VERB
fbem-28216	24	53	their	their	PRON
fbem-28216	24	54	accuracy	accuracy	NOUN
fbem-28216	24	55	.	.	PUNCT
fbem-28216	25	1	guo	guo	PROPN
fbem-28216	25	2	hui	hui	PROPN
fbem-28216	25	3	ting	ting	PROPN
fbem-28216	25	4	and	and	CCONJ
fbem-28216	25	5	others	other	NOUN
fbem-28216	25	6	from	from	ADP
fbem-28216	25	7	beijing	beijing	PROPN
fbem-28216	25	8	university	university	PROPN
fbem-28216	25	9	of	of	ADP
fbem-28216	25	10	chemical	chemical	PROPN
fbem-28216	25	11	technology	technology	NOUN
fbem-28216	25	12	(	(	PUNCT
fbem-28216	25	13	2024	2024	NUM
fbem-28216	25	14	)	)	PUNCT
fbem-28216	25	15	designed	design	VERB
fbem-28216	25	16	an	an	DET
fbem-28216	25	17	ensemble	ensemble	ADJ
fbem-28216	25	18	prediction	prediction	NOUN
fbem-28216	25	19	algorithm	algorithm	NOUN
fbem-28216	25	20	based	base	VERB
fbem-28216	25	21	on	on	ADP
fbem-28216	25	22	deep	deep	ADJ
fbem-28216	25	23	learning	learning	NOUN
fbem-28216	25	24	to	to	PART
fbem-28216	25	25	predict	predict	VERB
fbem-28216	25	26	future	future	ADJ
fbem-28216	25	27	stock	stock	NOUN
fbem-28216	25	28	prices	price	NOUN
fbem-28216	25	29	.	.	PUNCT
fbem-28216	26	1	xu	xu	PROPN
fbem-28216	26	2	yifan	yifan	PROPN
fbem-28216	26	3	from	from	ADP
fbem-28216	26	4	the	the	DET
fbem-28216	26	5	university	university	NOUN
fbem-28216	26	6	of	of	ADP
fbem-28216	26	7	shanghai	shanghai	PROPN
fbem-28216	26	8	for	for	ADP
fbem-28216	26	9	science	science	NOUN
fbem-28216	26	10	and	and	CCONJ
fbem-28216	26	11	technology	technology	NOUN
fbem-28216	26	12	(	(	PUNCT
fbem-28216	26	13	2024	2024	NUM
fbem-28216	26	14	)	)	PUNCT
fbem-28216	26	15	used	use	VERB
fbem-28216	26	16	pattern	pattern	NOUN
fbem-28216	26	17	recognition	recognition	NOUN
fbem-28216	26	18	time	time	NOUN
fbem-28216	26	19	series	series	PROPN
fbem-28216	26	20	data	data	VERB
fbem-28216	26	21	analysis	analysis	NOUN
fbem-28216	26	22	methods	method	NOUN
fbem-28216	26	23	for	for	ADP
fbem-28216	26	24	stock	stock	NOUN
fbem-28216	26	25	prediction	prediction	NOUN
fbem-28216	26	26	.	.	PUNCT
fbem-28216	27	1	2.2	2.2	NUM
fbem-28216	27	2	.	.	PUNCT
fbem-28216	27	3	significance	significance	NOUN
fbem-28216	27	4	of	of	ADP
fbem-28216	27	5	the	the	DET
fbem-28216	27	6	study	study	NOUN
fbem-28216	27	7	due	due	ADP
fbem-28216	27	8	to	to	ADP
fbem-28216	27	9	the	the	DET
fbem-28216	27	10	high	high	ADJ
fbem-28216	27	11	volatility	volatility	NOUN
fbem-28216	27	12	of	of	ADP
fbem-28216	27	13	stocks	stock	NOUN
fbem-28216	27	14	,	,	PUNCT
fbem-28216	27	15	many	many	ADJ
fbem-28216	27	16	investors	investor	NOUN
fbem-28216	27	17	rely	rely	VERB
fbem-28216	27	18	on	on	ADP
fbem-28216	27	19	luck	luck	NOUN
fbem-28216	27	20	when	when	SCONJ
fbem-28216	27	21	trading	trade	VERB
fbem-28216	27	22	stocks	stock	NOUN
fbem-28216	27	23	.	.	PUNCT
fbem-28216	28	1	stock	stock	NOUN
fbem-28216	28	2	prediction	prediction	NOUN
fbem-28216	28	3	can	can	AUX
fbem-28216	28	4	help	help	VERB
fbem-28216	28	5	investors	investor	NOUN
fbem-28216	28	6	better	well	ADV
fbem-28216	28	7	understand	understand	VERB
fbem-28216	28	8	the	the	DET
fbem-28216	28	9	potential	potential	ADJ
fbem-28216	28	10	fluctuations	fluctuation	NOUN
fbem-28216	28	11	of	of	ADP
fbem-28216	28	12	the	the	DET
fbem-28216	28	13	market	market	NOUN
fbem-28216	28	14	,	,	PUNCT
fbem-28216	28	15	thereby	thereby	ADV
fbem-28216	28	16	formulating	formulate	VERB
fbem-28216	28	17	corresponding	corresponding	ADJ
fbem-28216	28	18	risk	risk	NOUN
fbem-28216	28	19	management	management	NOUN
fbem-28216	28	20	strategies	strategy	NOUN
fbem-28216	28	21	,	,	PUNCT
fbem-28216	28	22	such	such	ADJ
fbem-28216	28	23	as	as	ADP
fbem-28216	28	24	adjusting	adjust	VERB
fbem-28216	28	25	the	the	DET
fbem-28216	28	26	allocation	allocation	NOUN
fbem-28216	28	27	of	of	ADP
fbem-28216	28	28	investment	investment	NOUN
fbem-28216	28	29	portfolios	portfolio	NOUN
fbem-28216	28	30	to	to	PART
fbem-28216	28	31	reduce	reduce	VERB
fbem-28216	28	32	potential	potential	ADJ
fbem-28216	28	33	losses	loss	NOUN
fbem-28216	28	34	.	.	PUNCT
fbem-28216	29	1	the	the	DET
fbem-28216	29	2	aforementioned	aforementioned	ADJ
fbem-28216	29	3	method	method	NOUN
fbem-28216	29	4	,	,	PUNCT
fbem-28216	29	5	such	such	ADJ
fbem-28216	29	6	as	as	ADP
fbem-28216	29	7	k	k	ADJ
fbem-28216	29	8	-	-	PUNCT
fbem-28216	29	9	line	line	NOUN
fbem-28216	29	10	chart	chart	NOUN
fbem-28216	29	11	analysis	analysis	NOUN
fbem-28216	29	12	,	,	PUNCT
fbem-28216	29	13	uses	use	VERB
fbem-28216	29	14	a	a	DET
fbem-28216	29	15	linear	linear	ADJ
fbem-28216	29	16	regression	regression	NOUN
fbem-28216	29	17	model	model	NOUN
fbem-28216	29	18	.	.	PUNCT
fbem-28216	30	1	the	the	DET
fbem-28216	30	2	linear	linear	PROPN
fbem-28216	30	3	regression	regression	NOUN
fbem-28216	30	4	model	model	NOUN
fbem-28216	30	5	has	have	VERB
fbem-28216	30	6	few	few	ADJ
fbem-28216	30	7	variables	variable	NOUN
fbem-28216	30	8	and	and	CCONJ
fbem-28216	30	9	is	be	AUX
fbem-28216	30	10	easy	easy	ADJ
fbem-28216	30	11	to	to	PART
fbem-28216	30	12	fit	fit	VERB
fbem-28216	30	13	.	.	PUNCT
fbem-28216	31	1	however	however	ADV
fbem-28216	31	2	,	,	PUNCT
fbem-28216	31	3	due	due	ADP
fbem-28216	31	4	to	to	ADP
fbem-28216	31	5	the	the	DET
fbem-28216	31	6	large	large	ADJ
fbem-28216	31	7	fluctuations	fluctuation	NOUN
fbem-28216	31	8	in	in	ADP
fbem-28216	31	9	stock	stock	NOUN
fbem-28216	31	10	data	datum	NOUN
fbem-28216	31	11	,	,	PUNCT
fbem-28216	31	12	more	more	ADJ
fbem-28216	31	13	complex	complex	ADJ
fbem-28216	31	14	models	model	NOUN
fbem-28216	31	15	can	can	AUX
fbem-28216	31	16	be	be	AUX
fbem-28216	31	17	used	use	VERB
fbem-28216	31	18	for	for	ADP
fbem-28216	31	19	prediction	prediction	NOUN
fbem-28216	31	20	,	,	PUNCT
fbem-28216	31	21	such	such	ADJ
fbem-28216	31	22	as	as	ADP
fbem-28216	31	23	nonlinear	nonlinear	ADJ
fbem-28216	31	24	regression	regression	NOUN
fbem-28216	31	25	models	model	NOUN
fbem-28216	31	26	.	.	PUNCT
fbem-28216	32	1	the	the	DET
fbem-28216	32	2	gaussian	gaussian	PROPN
fbem-28216	32	3	-	-	PUNCT
fbem-28216	32	4	newton	newton	PROPN
fbem-28216	32	5	method	method	NOUN
fbem-28216	32	6	used	use	VERB
fbem-28216	32	7	in	in	ADP
fbem-28216	32	8	this	this	DET
fbem-28216	32	9	paper	paper	NOUN
fbem-28216	32	10	is	be	AUX
fbem-28216	32	11	a	a	DET
fbem-28216	32	12	method	method	NOUN
fbem-28216	32	13	for	for	ADP
fbem-28216	32	14	solving	solve	VERB
fbem-28216	32	15	non	non	ADJ
fbem-28216	32	16	-	-	ADJ
fbem-28216	32	17	linear	linear	ADJ
fbem-28216	32	18	least	least	ADJ
fbem-28216	32	19	squares	square	NOUN
fbem-28216	32	20	,	,	PUNCT
fbem-28216	32	21	and	and	CCONJ
fbem-28216	32	22	it	it	PRON
fbem-28216	32	23	is	be	AUX
fbem-28216	32	24	widely	widely	ADV
fbem-28216	32	25	used	use	VERB
fbem-28216	32	26	because	because	SCONJ
fbem-28216	32	27	of	of	ADP
fbem-28216	32	28	its	its	PRON
fbem-28216	32	29	concise	concise	ADJ
fbem-28216	32	30	format	format	NOUN
fbem-28216	32	31	and	and	CCONJ
fbem-28216	32	32	small	small	ADJ
fbem-28216	32	33	computational	computational	ADJ
fbem-28216	32	34	load	load	NOUN
fbem-28216	32	35	.	.	PUNCT
fbem-28216	33	1	the	the	DET
fbem-28216	33	2	followings	following	NOUN
fbem-28216	33	3	are	be	AUX
fbem-28216	33	4	the	the	DET
fbem-28216	33	5	advantages	advantage	NOUN
fbem-28216	33	6	of	of	ADP
fbem-28216	33	7	the	the	DET
fbem-28216	33	8	gaussian	gaussian	ADJ
fbem-28216	33	9	-	-	PUNCT
fbem-28216	33	10	newton	newton	PROPN
fbem-28216	33	11	method	method	NOUN
fbem-28216	33	12	:	:	PUNCT
fbem-28216	33	13	fast	fast	ADJ
fbem-28216	33	14	convergence	convergence	NOUN
fbem-28216	33	15	:	:	PUNCT
fbem-28216	33	16	the	the	DET
fbem-28216	33	17	gauss	gauss	PROPN
fbem-28216	33	18	-	-	PUNCT
fbem-28216	33	19	newton	newton	PROPN
fbem-28216	33	20	method	method	NOUN
fbem-28216	33	21	is	be	AUX
fbem-28216	33	22	a	a	DET
fbem-28216	33	23	secondorder	secondorder	ADJ
fbem-28216	33	24	convergent	convergent	NOUN
fbem-28216	33	25	method	method	NOUN
fbem-28216	33	26	.	.	PUNCT
fbem-28216	34	1	compared	compare	VERB
fbem-28216	34	2	to	to	ADP
fbem-28216	34	3	first	first	ADJ
fbem-28216	34	4	-	-	PUNCT
fbem-28216	34	5	order	order	NOUN
fbem-28216	34	6	methods	method	NOUN
fbem-28216	34	7	(	(	PUNCT
fbem-28216	34	8	such	such	ADJ
fbem-28216	34	9	as	as	ADP
fbem-28216	34	10	the	the	DET
fbem-28216	34	11	newton	newton	PROPN
fbem-28216	34	12	-	-	PUNCT
fbem-28216	34	13	raphson	raphson	PROPN
fbem-28216	34	14	method	method	NOUN
fbem-28216	34	15	)	)	PUNCT
fbem-28216	34	16	,	,	PUNCT
fbem-28216	34	17	it	it	PRON
fbem-28216	34	18	has	have	VERB
fbem-28216	34	19	a	a	DET
fbem-28216	34	20	faster	fast	ADJ
fbem-28216	34	21	convergence	convergence	NOUN
fbem-28216	34	22	rate	rate	NOUN
fbem-28216	34	23	and	and	CCONJ
fbem-28216	34	24	can	can	AUX
fbem-28216	34	25	usually	usually	ADV
fbem-28216	34	26	quickly	quickly	ADV
fbem-28216	34	27	converge	converge	VERB
fbem-28216	34	28	to	to	ADP
fbem-28216	34	29	the	the	DET
fbem-28216	34	30	minimum	minimum	ADJ
fbem-28216	34	31	point	point	NOUN
fbem-28216	34	32	of	of	ADP
fbem-28216	34	33	the	the	DET
fbem-28216	34	34	function	function	NOUN
fbem-28216	34	35	or	or	CCONJ
fbem-28216	34	36	the	the	DET
fbem-28216	34	37	root	root	NOUN
fbem-28216	34	38	of	of	ADP
fbem-28216	34	39	the	the	DET
fbem-28216	34	40	equation	equation	NOUN
fbem-28216	34	41	.	.	PUNCT
fbem-28216	35	1	effective	effective	ADJ
fbem-28216	35	2	in	in	ADP
fbem-28216	35	3	local	local	ADJ
fbem-28216	35	4	areas	area	NOUN
fbem-28216	35	5	:	:	PUNCT
fbem-28216	35	6	the	the	DET
fbem-28216	35	7	gauss	gauss	PROPN
fbem-28216	35	8	-	-	PUNCT
fbem-28216	35	9	newton	newton	PROPN
fbem-28216	35	10	method	method	NOUN
fbem-28216	35	11	is	be	AUX
fbem-28216	35	12	more	more	ADV
fbem-28216	35	13	26	26	NUM
fbem-28216	35	14	suitable	suitable	ADJ
fbem-28216	35	15	for	for	ADP
fbem-28216	35	16	solving	solve	VERB
fbem-28216	35	17	problems	problem	NOUN
fbem-28216	35	18	with	with	ADP
fbem-28216	35	19	a	a	DET
fbem-28216	35	20	"	"	PUNCT
fbem-28216	35	21	good	good	ADJ
fbem-28216	35	22	initial	initial	ADJ
fbem-28216	35	23	value	value	NOUN
fbem-28216	35	24	"	"	PUNCT
fbem-28216	35	25	(	(	PUNCT
fbem-28216	35	26	where	where	SCONJ
fbem-28216	35	27	there	there	PRON
fbem-28216	35	28	is	be	VERB
fbem-28216	35	29	a	a	DET
fbem-28216	35	30	minimum	minimum	ADJ
fbem-28216	35	31	point	point	NOUN
fbem-28216	35	32	or	or	CCONJ
fbem-28216	35	33	root	root	NOUN
fbem-28216	35	34	near	near	ADP
fbem-28216	35	35	the	the	DET
fbem-28216	35	36	initial	initial	ADJ
fbem-28216	35	37	value	value	NOUN
fbem-28216	35	38	)	)	PUNCT
fbem-28216	35	39	,	,	PUNCT
fbem-28216	35	40	as	as	SCONJ
fbem-28216	35	41	it	it	PRON
fbem-28216	35	42	is	be	AUX
fbem-28216	35	43	based	base	VERB
fbem-28216	35	44	on	on	ADP
fbem-28216	35	45	the	the	DET
fbem-28216	35	46	first	first	ADJ
fbem-28216	35	47	or	or	CCONJ
fbem-28216	35	48	second	second	ADJ
fbem-28216	35	49	derivatives	derivative	NOUN
fbem-28216	35	50	at	at	ADP
fbem-28216	35	51	the	the	DET
fbem-28216	35	52	current	current	ADJ
fbem-28216	35	53	iteration	iteration	NOUN
fbem-28216	35	54	point	point	NOUN
fbem-28216	35	55	for	for	ADP
fbem-28216	35	56	iteration	iteration	NOUN
fbem-28216	35	57	.	.	PUNCT
fbem-28216	36	1	in	in	ADP
fbem-28216	36	2	the	the	DET
fbem-28216	36	3	local	local	ADJ
fbem-28216	36	4	area	area	NOUN
fbem-28216	36	5	,	,	PUNCT
fbem-28216	36	6	the	the	DET
fbem-28216	36	7	gaussnewton	gaussnewton	PROPN
fbem-28216	36	8	iterative	iterative	NOUN
fbem-28216	36	9	method	method	NOUN
fbem-28216	36	10	can	can	AUX
fbem-28216	36	11	quickly	quickly	ADV
fbem-28216	36	12	find	find	VERB
fbem-28216	36	13	a	a	DET
fbem-28216	36	14	local	local	ADJ
fbem-28216	36	15	optimal	optimal	ADJ
fbem-28216	36	16	solution	solution	NOUN
fbem-28216	36	17	.	.	PUNCT
fbem-28216	37	1	high	high	ADJ
fbem-28216	37	2	applicability	applicability	NOUN
fbem-28216	37	3	:	:	PUNCT
fbem-28216	37	4	the	the	DET
fbem-28216	37	5	gauss	gauss	PROPN
fbem-28216	37	6	-	-	PUNCT
fbem-28216	37	7	newton	newton	PROPN
fbem-28216	37	8	method	method	NOUN
fbem-28216	37	9	can	can	AUX
fbem-28216	37	10	not	not	PART
fbem-28216	37	11	only	only	ADV
fbem-28216	37	12	be	be	AUX
fbem-28216	37	13	used	use	VERB
fbem-28216	37	14	to	to	PART
fbem-28216	37	15	solve	solve	VERB
fbem-28216	37	16	non	non	ADJ
fbem-28216	37	17	-	-	ADJ
fbem-28216	37	18	linear	linear	ADJ
fbem-28216	37	19	equations	equation	NOUN
fbem-28216	37	20	or	or	CCONJ
fbem-28216	37	21	minimize	minimize	VERB
fbem-28216	37	22	nonlinear	nonlinear	ADJ
fbem-28216	37	23	functions	function	NOUN
fbem-28216	37	24	but	but	CCONJ
fbem-28216	37	25	also	also	ADV
fbem-28216	37	26	applied	apply	VERB
fbem-28216	37	27	to	to	ADP
fbem-28216	37	28	various	various	ADJ
fbem-28216	37	29	fields	field	NOUN
fbem-28216	37	30	such	such	ADJ
fbem-28216	37	31	as	as	ADP
fbem-28216	37	32	parameter	parameter	NOUN
fbem-28216	37	33	estimation	estimation	NOUN
fbem-28216	37	34	,	,	PUNCT
fbem-28216	37	35	thus	thus	ADV
fbem-28216	37	36	it	it	PRON
fbem-28216	37	37	has	have	VERB
fbem-28216	37	38	a	a	DET
fbem-28216	37	39	wide	wide	ADJ
fbem-28216	37	40	range	range	NOUN
fbem-28216	37	41	of	of	ADP
fbem-28216	37	42	application	application	NOUN
fbem-28216	37	43	value	value	NOUN
fbem-28216	37	44	.	.	PUNCT
fbem-28216	38	1	3	3	X
fbem-28216	38	2	.	.	X
fbem-28216	38	3	theoretical	theoretical	ADJ
fbem-28216	38	4	foundation	foundation	PROPN
fbem-28216	38	5	3.1	3.1	NUM
fbem-28216	38	6	.	.	PUNCT
fbem-28216	39	1	taylor	taylor	PROPN
fbem-28216	39	2	expansion	expansion	NOUN
fbem-28216	39	3	the	the	DET
fbem-28216	39	4	taylor	taylor	PROPN
fbem-28216	39	5	expansion	expansion	NOUN
fbem-28216	39	6	is	be	AUX
fbem-28216	39	7	a	a	DET
fbem-28216	39	8	method	method	NOUN
fbem-28216	39	9	of	of	ADP
fbem-28216	39	10	expressing	express	VERB
fbem-28216	39	11	a	a	DET
fbem-28216	39	12	differentiable	differentiable	ADJ
fbem-28216	39	13	function	function	NOUN
fbem-28216	39	14	f(x)at	f(x)at	VERB
fbem-28216	39	15	a	a	DET
fbem-28216	39	16	point	point	NOUN
fbem-28216	39	17	aa	aa	NOUN
fbem-28216	39	18	as	as	ADP
fbem-28216	39	19	an	an	DET
fbem-28216	39	20	infinite	infinite	ADJ
fbem-28216	39	21	series	series	NOUN
fbem-28216	39	22	near	near	ADP
fbem-28216	39	23	that	that	DET
fbem-28216	39	24	point	point	NOUN
fbem-28216	39	25	.	.	PUNCT
fbem-28216	40	1	this	this	DET
fbem-28216	40	2	expansion	expansion	NOUN
fbem-28216	40	3	uses	use	VERB
fbem-28216	40	4	the	the	DET
fbem-28216	40	5	increment	increment	NOUN
fbem-28216	40	6	of	of	ADP
fbem-28216	40	7	xx	xx	NUM
fbem-28216	40	8	relative	relative	ADJ
fbem-28216	40	9	to	to	ADP
fbem-28216	40	10	the	the	DET
fbem-28216	40	11	point	point	NOUN
fbem-28216	40	12	aa	aa	INTJ
fbem-28216	40	13	to	to	PART
fbem-28216	40	14	approximate	approximate	VERB
fbem-28216	40	15	the	the	DET
fbem-28216	40	16	value	value	NOUN
fbem-28216	40	17	of	of	ADP
fbem-28216	40	18	the	the	DET
fbem-28216	40	19	function	function	NOUN
fbem-28216	40	20	f(x	f(x	PROPN
fbem-28216	40	21	)	)	PUNCT
fbem-28216	40	22	.	.	PUNCT
fbem-28216	41	1	the	the	DET
fbem-28216	41	2	general	general	ADJ
fbem-28216	41	3	form	form	NOUN
fbem-28216	41	4	of	of	ADP
fbem-28216	41	5	the	the	DET
fbem-28216	41	6	taylor	taylor	PROPN
fbem-28216	41	7	series	series	NOUN
fbem-28216	41	8	is	be	AUX
fbem-28216	41	9	as	as	SCONJ
fbem-28216	41	10	follows	follow	VERB
fbem-28216	41	11	:	:	PUNCT
fbem-28216	41	12	f	f	PROPN
fbem-28216	41	13	(	(	PUNCT
fbem-28216	41	14	x	x	X
fbem-28216	41	15	)	)	PUNCT
fbem-28216	41	16	=	=	SYM
fbem-28216	41	17	f	f	X
fbem-28216	41	18	(	(	PUNCT
fbem-28216	41	19	a	a	NOUN
fbem-28216	41	20	)	)	PUNCT
fbem-28216	41	21	+	+	PUNCT
fbem-28216	41	22	f′(a	f′(a	NOUN
fbem-28216	41	23	)	)	PUNCT
fbem-28216	41	24	(	(	PUNCT
fbem-28216	41	25	x−a	x−a	PROPN
fbem-28216	41	26	)	)	PUNCT
fbem-28216	42	1	+	+	CCONJ
fbem-28216	42	2	f′′(a	f′′(a	ADJ
fbem-28216	42	3	)	)	PUNCT
fbem-28216	42	4	2	2	NUM
fbem-28216	42	5	!	!	PUNCT
fbem-28216	42	6	(	(	PUNCT
fbem-28216	42	7	x−a)2	x−a)2	NUM
fbem-28216	42	8	+	+	NUM
fbem-28216	42	9	f′′′(a	f′′′(a	PROPN
fbem-28216	42	10	)	)	PUNCT
fbem-28216	42	11	3	3	NUM
fbem-28216	42	12	!	!	PUNCT
fbem-28216	43	1	(	(	PUNCT
fbem-28216	43	2	x−a)3	x−a)3	NUM
fbem-28216	43	3	+	+	SYM
fbem-28216	43	4	⋯	⋯	VERB
fbem-28216	43	5	+	+	NUM
fbem-28216	43	6	f	f	X
fbem-28216	43	7	(	(	PUNCT
fbem-28216	43	8	n	n	CCONJ
fbem-28216	43	9	)	)	PUNCT
fbem-28216	43	10	(	(	PUNCT
fbem-28216	43	11	a	a	NOUN
fbem-28216	43	12	)	)	PUNCT
fbem-28216	43	13	n	n	CCONJ
fbem-28216	43	14	!	!	PUNCT
fbem-28216	43	15	(	(	PUNCT
fbem-28216	43	16	x−a	x−a	PROPN
fbem-28216	43	17	)	)	PUNCT
fbem-28216	43	18	n	n	PROPN
fbem-28216	44	1	+	+	NUM
fbem-28216	44	2	rn	rn	PROPN
fbem-28216	44	3	(	(	PUNCT
fbem-28216	44	4	x	x	NOUN
fbem-28216	44	5	)	)	PUNCT
fbem-28216	44	6	in	in	ADP
fbem-28216	44	7	this	this	DET
fbem-28216	44	8	formula	formula	NOUN
fbem-28216	44	9	:	:	PUNCT
fbem-28216	44	10	rn	rn	PROPN
fbem-28216	44	11	(	(	PUNCT
fbem-28216	44	12	x	x	X
fbem-28216	44	13	)	)	PUNCT
fbem-28216	44	14	is	be	AUX
fbem-28216	44	15	the	the	DET
fbem-28216	44	16	remainder	remainder	ADJ
fbem-28216	44	17	term	term	NOUN
fbem-28216	44	18	,	,	PUNCT
fbem-28216	44	19	representing	represent	VERB
fbem-28216	44	20	the	the	DET
fbem-28216	44	21	error	error	NOUN
fbem-28216	44	22	after	after	ADP
fbem-28216	44	23	the	the	DET
fbem-28216	44	24	nth	nth	NOUN
fbem-28216	44	25	-	-	PUNCT
fbem-28216	44	26	order	order	NOUN
fbem-28216	44	27	expansion	expansion	NOUN
fbem-28216	44	28	.	.	PUNCT
fbem-28216	45	1	it	it	PRON
fbem-28216	45	2	measures	measure	VERB
fbem-28216	45	3	the	the	DET
fbem-28216	45	4	difference	difference	NOUN
fbem-28216	45	5	between	between	ADP
fbem-28216	45	6	the	the	DET
fbem-28216	45	7	nnth	nnth	ADJ
fbem-28216	45	8	-	-	PUNCT
fbem-28216	45	9	order	order	NOUN
fbem-28216	45	10	expansion	expansion	NOUN
fbem-28216	45	11	and	and	CCONJ
fbem-28216	45	12	the	the	DET
fbem-28216	45	13	actual	actual	ADJ
fbem-28216	45	14	value	value	NOUN
fbem-28216	45	15	of	of	ADP
fbem-28216	45	16	the	the	DET
fbem-28216	45	17	function	function	NOUN
fbem-28216	45	18	.	.	PUNCT
fbem-28216	46	1	3.2	3.2	NUM
fbem-28216	46	2	.	.	PUNCT
fbem-28216	47	1	jacobian	jacobian	ADJ
fbem-28216	47	2	matrix	matrix	NOUN
fbem-28216	47	3	the	the	DET
fbem-28216	47	4	jacobian	jacobian	ADJ
fbem-28216	47	5	matrix	matrix	NOUN
fbem-28216	47	6	is	be	AUX
fbem-28216	47	7	a	a	DET
fbem-28216	47	8	matrix	matrix	NOUN
fbem-28216	47	9	representation	representation	NOUN
fbem-28216	47	10	of	of	ADP
fbem-28216	47	11	the	the	DET
fbem-28216	47	12	derivative	derivative	NOUN
fbem-28216	47	13	of	of	ADP
fbem-28216	47	14	a	a	DET
fbem-28216	47	15	multivariable	multivariable	ADJ
fbem-28216	47	16	function	function	NOUN
fbem-28216	47	17	.	.	PUNCT
fbem-28216	48	1	if	if	SCONJ
fbem-28216	48	2	there	there	PRON
fbem-28216	48	3	is	be	VERB
fbem-28216	48	4	a	a	DET
fbem-28216	48	5	vectorvalued	vectorvalue	VERB
fbem-28216	48	6	function	function	NOUN
fbem-28216	48	7	f	f	NOUN
fbem-28216	48	8	:	:	PUNCT
fbem-28216	48	9	rn→rm	rn→rm	ADJ
fbem-28216	48	10	,	,	PUNCT
fbem-28216	48	11	which	which	PRON
fbem-28216	48	12	maps	map	VERB
fbem-28216	48	13	an	an	DET
fbem-28216	48	14	n	n	ADV
fbem-28216	48	15	-	-	PUNCT
fbem-28216	48	16	dimensional	dimensional	ADJ
fbem-28216	48	17	real	real	ADJ
fbem-28216	48	18	vector	vector	NOUN
fbem-28216	48	19	to	to	ADP
fbem-28216	48	20	an	an	DET
fbem-28216	48	21	m	m	ADV
fbem-28216	48	22	-	-	ADJ
fbem-28216	48	23	dimensional	dimensional	ADJ
fbem-28216	48	24	real	real	ADJ
fbem-28216	48	25	vector	vector	NOUN
fbem-28216	48	26	,	,	PUNCT
fbem-28216	48	27	then	then	ADV
fbem-28216	48	28	the	the	DET
fbem-28216	48	29	jacobian	jacobian	ADJ
fbem-28216	48	30	matrix	matrix	NOUN
fbem-28216	48	31	of	of	ADP
fbem-28216	48	32	this	this	DET
fbem-28216	48	33	function	function	NOUN
fbem-28216	48	34	is	be	AUX
fbem-28216	48	35	an	an	DET
fbem-28216	48	36	m×nmatrix	m×nmatrix	NOUN
fbem-28216	48	37	,	,	PUNCT
fbem-28216	48	38	the	the	DET
fbem-28216	48	39	elements	element	NOUN
fbem-28216	48	40	of	of	ADP
fbem-28216	48	41	which	which	PRON
fbem-28216	48	42	are	be	AUX
fbem-28216	48	43	defined	define	VERB
fbem-28216	48	44	as	as	ADP
fbem-28216	48	45	the	the	DET
fbem-28216	48	46	partial	partial	ADJ
fbem-28216	48	47	derivatives	derivative	NOUN
fbem-28216	48	48	of	of	ADP
fbem-28216	48	49	each	each	DET
fbem-28216	48	50	component	component	NOUN
fbem-28216	48	51	of	of	ADP
fbem-28216	48	52	the	the	DET
fbem-28216	48	53	function	function	NOUN
fbem-28216	48	54	with	with	ADP
fbem-28216	48	55	respect	respect	NOUN
fbem-28216	48	56	to	to	ADP
fbem-28216	48	57	each	each	DET
fbem-28216	48	58	variable	variable	NOUN
fbem-28216	48	59	.	.	PUNCT
fbem-28216	49	1	specifically	specifically	ADV
fbem-28216	49	2	,	,	PUNCT
fbem-28216	49	3	if	if	SCONJ
fbem-28216	49	4	the	the	DET
fbem-28216	49	5	i	i	NOUN
fbem-28216	49	6	-	-	PUNCT
fbem-28216	49	7	th	th	VERB
fbem-28216	49	8	component	component	NOUN
fbem-28216	49	9	of	of	ADP
fbem-28216	49	10	the	the	DET
fbem-28216	49	11	function	function	NOUN
fbem-28216	49	12	f	f	PROPN
fbem-28216	49	13	is	be	AUX
fbem-28216	49	14	fi	fi	NOUN
fbem-28216	49	15	,	,	PUNCT
fbem-28216	49	16	and	and	CCONJ
fbem-28216	49	17	x	x	X
fbem-28216	49	18	is	be	AUX
fbem-28216	49	19	the	the	DET
fbem-28216	49	20	n	n	ADV
fbem-28216	49	21	-	-	PUNCT
fbem-28216	49	22	dimensional	dimensional	ADJ
fbem-28216	49	23	variable	variable	ADJ
fbem-28216	49	24	vector	vector	NOUN
fbem-28216	49	25	(	(	PUNCT
fbem-28216	49	26	x1	x1	PROPN
fbem-28216	49	27	,	,	PUNCT
fbem-28216	49	28	x2	x2	PROPN
fbem-28216	49	29	,	,	PUNCT
fbem-28216	49	30	…	…	PUNCT
fbem-28216	49	31	,	,	PUNCT
fbem-28216	49	32	xn	xn	PROPN
fbem-28216	49	33	)	)	PUNCT
fbem-28216	49	34	,	,	PUNCT
fbem-28216	49	35	then	then	ADV
fbem-28216	49	36	the	the	DET
fbem-28216	49	37	jacobian	jacobian	ADJ
fbem-28216	49	38	matrix	matrix	NOUN
fbem-28216	49	39	jcan	jcan	NOUN
fbem-28216	49	40	be	be	AUX
fbem-28216	49	41	represented	represent	VERB
fbem-28216	49	42	as	as	ADP
fbem-28216	49	43	:	:	PUNCT
fbem-28216	49	44	[	[	PUNCT
fbem-28216	49	45	𝜕𝑓1	𝜕𝑓1	NOUN
fbem-28216	49	46	𝜕𝑥1	𝜕𝑥1	NOUN
fbem-28216	49	47	⋯	⋯	NOUN
fbem-28216	49	48	𝜕𝑓1	𝜕𝑓1	NOUN
fbem-28216	49	49	𝜕𝑥𝑛	𝜕𝑥𝑛	VERB
fbem-28216	49	50	⋮	⋮	NOUN
fbem-28216	49	51	⋱	⋱	PUNCT
fbem-28216	49	52	⋮	⋮	NOUN
fbem-28216	49	53	𝜕𝑓𝑚	𝜕𝑓𝑚	ADJ
fbem-28216	49	54	𝜕𝑥1	𝜕𝑥1	NOUN
fbem-28216	49	55	⋯	⋯	NOUN
fbem-28216	49	56	𝜕𝑓𝑚	𝜕𝑓𝑚	PUNCT
fbem-28216	49	57	𝜕𝑥𝑛	𝜕𝑥𝑛	ADJ
fbem-28216	49	58	]	]	PUNCT
fbem-28216	49	59	3.3	3.3	NUM
fbem-28216	49	60	.	.	PUNCT
fbem-28216	50	1	gauss	gaus	VERB
fbem-28216	50	2	-	-	PUNCT
fbem-28216	50	3	newton	newton	PROPN
fbem-28216	50	4	method	method	NOUN
fbem-28216	50	5	(	(	PUNCT
fbem-28216	50	6	1	1	NUM
fbem-28216	50	7	)	)	PUNCT
fbem-28216	50	8	principle	principle	NOUN
fbem-28216	50	9	the	the	DET
fbem-28216	50	10	method	method	NOUN
fbem-28216	50	11	uses	use	VERB
fbem-28216	50	12	the	the	DET
fbem-28216	50	13	taylor	taylor	PROPN
fbem-28216	50	14	series	series	PROPN
fbem-28216	50	15	expansion	expansion	NOUN
fbem-28216	50	16	to	to	PART
fbem-28216	50	17	approximate	approximate	VERB
fbem-28216	50	18	the	the	DET
fbem-28216	50	19	non	non	ADJ
fbem-28216	50	20	-	-	ADJ
fbem-28216	50	21	linear	linear	ADJ
fbem-28216	50	22	regression	regression	NOUN
fbem-28216	50	23	model	model	NOUN
fbem-28216	50	24	and	and	CCONJ
fbem-28216	50	25	then	then	ADV
fbem-28216	50	26	iteratively	iteratively	ADV
fbem-28216	50	27	corrects	correct	VERB
fbem-28216	50	28	the	the	DET
fbem-28216	50	29	regression	regression	NOUN
fbem-28216	50	30	coefficients	coefficient	VERB
fbem-28216	50	31	multiple	multiple	ADJ
fbem-28216	50	32	times	time	NOUN
fbem-28216	50	33	to	to	PART
fbem-28216	50	34	make	make	VERB
fbem-28216	50	35	them	they	PRON
fbem-28216	50	36	approach	approach	VERB
fbem-28216	50	37	the	the	DET
fbem-28216	50	38	optimal	optimal	ADJ
fbem-28216	50	39	regression	regression	NOUN
fbem-28216	50	40	coefficients	coefficient	NOUN
fbem-28216	50	41	of	of	ADP
fbem-28216	50	42	the	the	DET
fbem-28216	50	43	non	non	ADJ
fbem-28216	50	44	-	-	ADJ
fbem-28216	50	45	linear	linear	ADJ
fbem-28216	50	46	regression	regression	NOUN
fbem-28216	50	47	model	model	NOUN
fbem-28216	50	48	,	,	PUNCT
fbem-28216	50	49	ultimately	ultimately	ADV
fbem-28216	50	50	minimizing	minimize	VERB
fbem-28216	50	51	the	the	DET
fbem-28216	50	52	residual	residual	ADJ
fbem-28216	50	53	sum	sum	NOUN
fbem-28216	50	54	of	of	ADP
fbem-28216	50	55	squares	square	NOUN
fbem-28216	50	56	of	of	ADP
fbem-28216	50	57	the	the	DET
fbem-28216	50	58	original	original	ADJ
fbem-28216	50	59	model	model	NOUN
fbem-28216	50	60	.	.	PUNCT
fbem-28216	51	1	the	the	DET
fbem-28216	51	2	intuitive	intuitive	ADJ
fbem-28216	51	3	idea	idea	NOUN
fbem-28216	51	4	is	be	AUX
fbem-28216	51	5	to	to	PART
fbem-28216	51	6	first	first	ADV
fbem-28216	51	7	select	select	VERB
fbem-28216	51	8	a	a	DET
fbem-28216	51	9	parameter	parameter	NOUN
fbem-28216	51	10	value	value	NOUN
fbem-28216	51	11	β	β	X
fbem-28216	51	12	for	for	ADP
fbem-28216	51	13	the	the	DET
fbem-28216	51	14	parameter	parameter	NOUN
fbem-28216	51	15	vector	vector	NOUN
fbem-28216	51	16	.	.	PUNCT
fbem-28216	52	1	if	if	SCONJ
fbem-28216	52	2	the	the	DET
fbem-28216	52	3	function	function	NOUN
fbem-28216	52	4	f	f	X
fbem-28216	52	5	(	(	PUNCT
fbem-28216	52	6	𝑋𝑡	𝑋𝑡	PROPN
fbem-28216	52	7	,	,	PUNCT
fbem-28216	52	8	β	β	NOUN
fbem-28216	52	9	)	)	PUNCT
fbem-28216	52	10	has	have	VERB
fbem-28216	52	11	continuous	continuous	ADJ
fbem-28216	52	12	second	second	ADJ
fbem-28216	52	13	-	-	PUNCT
fbem-28216	52	14	order	order	NOUN
fbem-28216	52	15	partial	partial	ADJ
fbem-28216	52	16	derivatives	derivative	NOUN
fbem-28216	52	17	in	in	ADP
fbem-28216	52	18	the	the	DET
fbem-28216	52	19	vicinity	vicinity	NOUN
fbem-28216	52	20	of	of	ADP
fbem-28216	52	21	β0	β0	PROPN
fbem-28216	52	22	,	,	PUNCT
fbem-28216	52	23	then	then	ADV
fbem-28216	52	24	within	within	ADP
fbem-28216	52	25	the	the	DET
fbem-28216	52	26	neighborhood	neighborhood	NOUN
fbem-28216	52	27	of	of	ADP
fbem-28216	52	28	β0	β0	NOUN
fbem-28216	52	29	,	,	PUNCT
fbem-28216	52	30	f	f	PROPN
fbem-28216	52	31	(	(	PUNCT
fbem-28216	52	32	𝑋𝑡	𝑋𝑡	PROPN
fbem-28216	52	33	,	,	PUNCT
fbem-28216	52	34	β	β	NOUN
fbem-28216	52	35	)	)	PUNCT
fbem-28216	52	36	can	can	AUX
fbem-28216	52	37	be	be	AUX
fbem-28216	52	38	approximated	approximate	VERB
fbem-28216	52	39	as	as	ADP
fbem-28216	52	40	linear	linear	NOUN
fbem-28216	52	41	,	,	PUNCT
fbem-28216	52	42	and	and	CCONJ
fbem-28216	52	43	thus	thus	ADV
fbem-28216	52	44	can	can	AUX
fbem-28216	52	45	be	be	AUX
fbem-28216	52	46	solved	solve	VERB
fbem-28216	52	47	approximately	approximately	ADV
fbem-28216	52	48	using	use	VERB
fbem-28216	52	49	the	the	DET
fbem-28216	52	50	linear	linear	ADJ
fbem-28216	52	51	least	least	ADJ
fbem-28216	52	52	squares	square	NOUN
fbem-28216	52	53	method	method	VERB
fbem-28216	52	54	.	.	PUNCT
fbem-28216	53	1	assuming	assume	VERB
fbem-28216	53	2	a	a	DET
fbem-28216	53	3	model	model	NOUN
fbem-28216	53	4	function	function	NOUN
fbem-28216	53	5	:	:	PUNCT
fbem-28216	53	6	𝑌𝑖=f	𝑌𝑖=f	X
fbem-28216	53	7	(	(	PUNCT
fbem-28216	53	8	𝑋𝑖	𝑋𝑖	NOUN
fbem-28216	53	9	,	,	PUNCT
fbem-28216	53	10	β	β	NOUN
fbem-28216	53	11	)	)	PUNCT
fbem-28216	53	12	+	+	CCONJ
fbem-28216	53	13	𝜇𝑖	𝜇𝑖	ADP
fbem-28216	53	14	,	,	PUNCT
fbem-28216	53	15	where	where	SCONJ
fbem-28216	53	16	f	f	PROPN
fbem-28216	53	17	can	can	AUX
fbem-28216	53	18	also	also	ADV
fbem-28216	53	19	be	be	AUX
fbem-28216	53	20	represented	represent	VERB
fbem-28216	53	21	as	as	ADP
fbem-28216	53	22	f	f	PROPN
fbem-28216	53	23	(	(	PUNCT
fbem-28216	53	24	𝑥1	𝑥1	NOUN
fbem-28216	53	25	,	,	PUNCT
fbem-28216	53	26	𝑥2	𝑥2	NOUN
fbem-28216	53	27	,	,	PUNCT
fbem-28216	53	28	...	...	PUNCT
fbem-28216	53	29	𝑥𝑝	𝑥𝑝	NOUN
fbem-28216	53	30	;	;	PUNCT
fbem-28216	53	31	𝛽1	𝛽1	NOUN
fbem-28216	53	32	,	,	PUNCT
fbem-28216	53	33	𝛽2	𝛽2	PROPN
fbem-28216	53	34	,	,	PUNCT
fbem-28216	53	35	...	...	PUNCT
fbem-28216	53	36	,	,	PUNCT
fbem-28216	53	37	𝛽𝑛	𝛽𝑛	PROPN
fbem-28216	53	38	)	)	PUNCT
fbem-28216	53	39	,	,	PUNCT
fbem-28216	53	40	with	with	ADP
fbem-28216	53	41	a	a	DET
fbem-28216	53	42	total	total	NOUN
fbem-28216	53	43	of	of	ADP
fbem-28216	53	44	m	m	NOUN
fbem-28216	53	45	observation	observation	NOUN
fbem-28216	53	46	points	point	NOUN
fbem-28216	53	47	,	,	PUNCT
fbem-28216	53	48	each	each	DET
fbem-28216	53	49	point	point	NOUN
fbem-28216	53	50	depending	depend	VERB
fbem-28216	53	51	on	on	ADP
fbem-28216	53	52	p	p	DET
fbem-28216	53	53	variables	variable	NOUN
fbem-28216	53	54	.	.	PUNCT
fbem-28216	54	1	let	let	VERB
fbem-28216	54	2	q=∑	q=∑	NOUN
fbem-28216	55	1	[	[	X
fbem-28216	55	2	f(𝑋𝑖	f(𝑋𝑖	INTJ
fbem-28216	55	3	,	,	PUNCT
fbem-28216	55	4	β	β	NOUN
fbem-28216	55	5	)	)	PUNCT
fbem-28216	56	1	−	−	PROPN
fbem-28216	57	1	𝑌𝑖	𝑌𝑖	X
fbem-28216	57	2	]	]	PUNCT
fbem-28216	57	3	2𝑚	2𝑚	NOUN
fbem-28216	57	4	𝑖=1	𝑖=1	PUNCT
fbem-28216	57	5	,	,	PUNCT
fbem-28216	57	6	with	with	ADP
fbem-28216	57	7	the	the	DET
fbem-28216	57	8	initial	initial	ADJ
fbem-28216	57	9	value	value	NOUN
fbem-28216	57	10	of	of	ADP
fbem-28216	57	11	β	β	PROPN
fbem-28216	57	12	being	be	AUX
fbem-28216	57	13	β0	β0	ADJ
fbem-28216	57	14	,	,	PUNCT
fbem-28216	57	15	expand	expand	VERB
fbem-28216	57	16	f	f	NOUN
fbem-28216	57	17	at	at	ADP
fbem-28216	57	18	β0	β0	ADV
fbem-28216	57	19	using	use	VERB
fbem-28216	57	20	taylor	taylor	PROPN
fbem-28216	57	21	expansion	expansion	NOUN
fbem-28216	57	22	.	.	PUNCT
fbem-28216	58	1	f	f	X
fbem-28216	58	2	(	(	PUNCT
fbem-28216	58	3	𝑋𝑖	𝑋𝑖	PROPN
fbem-28216	58	4	,	,	PUNCT
fbem-28216	58	5	β	β	NOUN
fbem-28216	58	6	)	)	PUNCT
fbem-28216	59	1	=	=	SYM
fbem-28216	59	2	f	f	PROPN
fbem-28216	59	3	(	(	PUNCT
fbem-28216	59	4	𝑋𝑖	𝑋𝑖	PROPN
fbem-28216	59	5	,	,	PUNCT
fbem-28216	59	6	𝛽0	𝛽0	NOUN
fbem-28216	59	7	)	)	PUNCT
fbem-28216	60	1	+	+	CCONJ
fbem-28216	60	2	∑	∑	PROPN
fbem-28216	60	3	[	[	PUNCT
fbem-28216	60	4	𝑑𝑓	𝑑𝑓	PROPN
fbem-28216	60	5	𝑑𝛽𝑘	𝑑𝛽𝑘	NOUN
fbem-28216	60	6	]	]	PUNCT
fbem-28216	60	7	𝛽0	𝛽0	VERB
fbem-28216	60	8	𝑚	𝑚	X
fbem-28216	60	9	𝑖=1	𝑖=1	PROPN
fbem-28216	60	10	(	(	PUNCT
fbem-28216	60	11	𝛽𝑘	𝛽𝑘	ADP
fbem-28216	60	12	-𝛽0	-𝛽0	ADV
fbem-28216	60	13	)	)	PUNCT
fbem-28216	60	14	substitute	substitute	NOUN
fbem-28216	60	15	into	into	ADP
fbem-28216	60	16	the	the	DET
fbem-28216	60	17	model	model	NOUN
fbem-28216	60	18	function	function	NOUN
fbem-28216	60	19	and	and	CCONJ
fbem-28216	60	20	find	find	VERB
fbem-28216	60	21	β1	β1	PROPN
fbem-28216	60	22	that	that	PRON
fbem-28216	60	23	minimizes	minimize	VERB
fbem-28216	60	24	q.	q.	NOUN
fbem-28216	60	25	use	use	VERB
fbem-28216	60	26	β1	β1	PROPN
fbem-28216	60	27	as	as	ADP
fbem-28216	60	28	the	the	DET
fbem-28216	60	29	new	new	ADJ
fbem-28216	60	30	iteration	iteration	NOUN
fbem-28216	60	31	value	value	NOUN
fbem-28216	60	32	and	and	CCONJ
fbem-28216	60	33	continue	continue	VERB
fbem-28216	60	34	the	the	DET
fbem-28216	60	35	iteration	iteration	NOUN
fbem-28216	60	36	with	with	ADP
fbem-28216	60	37	this	this	DET
fbem-28216	60	38	method	method	NOUN
fbem-28216	60	39	.	.	PUNCT
fbem-28216	61	1	𝛽𝑘+1	𝛽𝑘+1	PRON
fbem-28216	61	2	−	−	PROPN
fbem-28216	61	3	𝛽𝑘=(𝐽(𝛽𝑘	𝛽𝑘=(𝐽(𝛽𝑘	ADP
fbem-28216	61	4	)	)	PUNCT
fbem-28216	61	5	𝑇	𝑇	PROPN
fbem-28216	61	6	𝐽(𝛽𝑘	𝐽(𝛽𝑘	ADV
fbem-28216	61	7	)	)	PUNCT
fbem-28216	61	8	)	)	PUNCT
fbem-28216	62	1	−1𝐽(𝛽𝑘	−1𝐽(𝛽𝑘	NOUN
fbem-28216	62	2	)	)	PUNCT
fbem-28216	62	3	𝑇	𝑇	PROPN
fbem-28216	62	4	𝑄(𝛽𝑘	𝑄(𝛽𝑘	NOUN
fbem-28216	62	5	)	)	PUNCT
fbem-28216	62	6	stop	stop	VERB
fbem-28216	62	7	the	the	DET
fbem-28216	62	8	iteration	iteration	NOUN
fbem-28216	62	9	when	when	SCONJ
fbem-28216	62	10	‖𝛽𝑘+1	‖𝛽𝑘+1	PUNCT
fbem-28216	62	11	−	−	VERB
fbem-28216	62	12	𝛽𝑘	𝛽𝑘	ADP
fbem-28216	62	13	‖	‖	PROPN
fbem-28216	62	14	ε	ε	PROPN
fbem-28216	62	15	,	,	PUNCT
fbem-28216	62	16	where	where	SCONJ
fbem-28216	62	17	ε	ε	PROPN
fbem-28216	62	18	is	be	AUX
fbem-28216	62	19	a	a	DET
fbem-28216	62	20	small	small	ADJ
fbem-28216	62	21	positive	positive	ADJ
fbem-28216	62	22	threshold	threshold	NOUN
fbem-28216	62	23	value	value	NOUN
fbem-28216	62	24	.	.	PUNCT
fbem-28216	63	1	(	(	PUNCT
fbem-28216	63	2	2	2	X
fbem-28216	63	3	)	)	PUNCT
fbem-28216	63	4	fields	field	NOUN
fbem-28216	63	5	of	of	ADP
fbem-28216	63	6	application	application	NOUN
fbem-28216	63	7	data	datum	NOUN
fbem-28216	63	8	fitting	fit	VERB
fbem-28216	63	9	:	:	PUNCT
fbem-28216	63	10	in	in	ADP
fbem-28216	63	11	science	science	NOUN
fbem-28216	63	12	and	and	CCONJ
fbem-28216	63	13	engineering	engineering	NOUN
fbem-28216	63	14	,	,	PUNCT
fbem-28216	63	15	it	it	PRON
fbem-28216	63	16	is	be	AUX
fbem-28216	63	17	used	use	VERB
fbem-28216	63	18	for	for	ADP
fbem-28216	63	19	fitting	fitting	ADJ
fbem-28216	63	20	experimental	experimental	ADJ
fbem-28216	63	21	data	datum	NOUN
fbem-28216	63	22	to	to	ADP
fbem-28216	63	23	theoretical	theoretical	ADJ
fbem-28216	63	24	models	model	NOUN
fbem-28216	63	25	.	.	PUNCT
fbem-28216	64	1	machine	machine	NOUN
fbem-28216	64	2	learning	learning	NOUN
fbem-28216	64	3	:	:	PUNCT
fbem-28216	64	4	in	in	ADP
fbem-28216	64	5	certain	certain	ADJ
fbem-28216	64	6	types	type	NOUN
fbem-28216	64	7	of	of	ADP
fbem-28216	64	8	machine	machine	NOUN
fbem-28216	64	9	learning	learn	VERB
fbem-28216	64	10	algorithms	algorithm	NOUN
fbem-28216	64	11	,	,	PUNCT
fbem-28216	64	12	such	such	ADJ
fbem-28216	64	13	as	as	ADP
fbem-28216	64	14	parameter	parameter	NOUN
fbem-28216	64	15	estimation	estimation	NOUN
fbem-28216	64	16	in	in	ADP
fbem-28216	64	17	support	support	NOUN
fbem-28216	64	18	vector	vector	NOUN
fbem-28216	64	19	machines	machine	NOUN
fbem-28216	64	20	(	(	PUNCT
fbem-28216	64	21	svm	svm	PROPN
fbem-28216	64	22	)	)	PUNCT
fbem-28216	64	23	.	.	PUNCT
fbem-28216	65	1	signal	signal	ADJ
fbem-28216	65	2	processing	processing	NOUN
fbem-28216	65	3	:	:	PUNCT
fbem-28216	65	4	in	in	ADP
fbem-28216	65	5	signal	signal	ADJ
fbem-28216	65	6	estimation	estimation	NOUN
fbem-28216	65	7	and	and	CCONJ
fbem-28216	65	8	system	system	NOUN
fbem-28216	65	9	identification	identification	NOUN
fbem-28216	65	10	,	,	PUNCT
fbem-28216	65	11	it	it	PRON
fbem-28216	65	12	is	be	AUX
fbem-28216	65	13	used	use	VERB
fbem-28216	65	14	for	for	ADP
fbem-28216	65	15	parameter	parameter	NOUN
fbem-28216	65	16	estimation	estimation	NOUN
fbem-28216	65	17	.	.	PUNCT
fbem-28216	66	1	computer	computer	NOUN
fbem-28216	66	2	vision	vision	NOUN
fbem-28216	66	3	:	:	PUNCT
fbem-28216	66	4	in	in	ADP
fbem-28216	66	5	3d	3d	NUM
fbem-28216	66	6	reconstruction	reconstruction	NOUN
fbem-28216	66	7	and	and	CCONJ
fbem-28216	66	8	camera	camera	NOUN
fbem-28216	66	9	calibration	calibration	NOUN
fbem-28216	66	10	,	,	PUNCT
fbem-28216	66	11	it	it	PRON
fbem-28216	66	12	is	be	AUX
fbem-28216	66	13	used	use	VERB
fbem-28216	66	14	for	for	ADP
fbem-28216	66	15	solving	solve	VERB
fbem-28216	66	16	geometric	geometric	ADJ
fbem-28216	66	17	parameters	parameter	NOUN
fbem-28216	66	18	.	.	PUNCT
fbem-28216	67	1	4	4	X
fbem-28216	67	2	.	.	X
fbem-28216	67	3	practical	practical	ADJ
fbem-28216	67	4	operation	operation	NOUN
fbem-28216	67	5	the	the	DET
fbem-28216	67	6	stock	stock	NOUN
fbem-28216	67	7	prediction	prediction	NOUN
fbem-28216	67	8	in	in	ADP
fbem-28216	67	9	this	this	DET
fbem-28216	67	10	study	study	NOUN
fbem-28216	67	11	is	be	AUX
fbem-28216	67	12	implemented	implement	VERB
fbem-28216	67	13	by	by	ADP
fbem-28216	67	14	python	python	PROPN
fbem-28216	67	15	code	code	NOUN
fbem-28216	67	16	,	,	PUNCT
fbem-28216	67	17	and	and	CCONJ
fbem-28216	67	18	the	the	DET
fbem-28216	67	19	followings	following	NOUN
fbem-28216	67	20	will	will	AUX
fbem-28216	67	21	provide	provide	VERB
fbem-28216	67	22	a	a	DET
fbem-28216	67	23	detailed	detailed	ADJ
fbem-28216	67	24	introduction	introduction	NOUN
fbem-28216	67	25	to	to	ADP
fbem-28216	67	26	the	the	DET
fbem-28216	67	27	code	code	NOUN
fbem-28216	67	28	and	and	CCONJ
fbem-28216	67	29	results	result	NOUN
fbem-28216	67	30	.	.	PUNCT
fbem-28216	68	1	4.1	4.1	NUM
fbem-28216	68	2	.	.	PUNCT
fbem-28216	68	3	data	datum	NOUN
fbem-28216	68	4	acquisition	acquisition	NOUN
fbem-28216	68	5	the	the	DET
fbem-28216	68	6	data	datum	NOUN
fbem-28216	68	7	used	use	VERB
fbem-28216	68	8	consists	consist	NOUN
fbem-28216	68	9	of	of	ADP
fbem-28216	68	10	daily	daily	ADJ
fbem-28216	68	11	ohlc	ohlc	NOUN
fbem-28216	68	12	data	datum	NOUN
fbem-28216	68	13	for	for	ADP
fbem-28216	68	14	ping	ping	PROPN
fbem-28216	68	15	an	an	DET
fbem-28216	68	16	bank	bank	NOUN
fbem-28216	68	17	's	's	PART
fbem-28216	68	18	stock	stock	NOUN
fbem-28216	68	19	,	,	PUNCT
fbem-28216	68	20	ranging	range	VERB
fbem-28216	68	21	from	from	ADP
fbem-28216	68	22	january	january	PROPN
fbem-28216	68	23	4	4	NUM
fbem-28216	68	24	,	,	PUNCT
fbem-28216	68	25	2005	2005	NUM
fbem-28216	68	26	,	,	PUNCT
fbem-28216	68	27	to	to	ADP
fbem-28216	68	28	june	june	PROPN
fbem-28216	68	29	20	20	NUM
fbem-28216	68	30	,	,	PUNCT
fbem-28216	68	31	2024	2024	NUM
fbem-28216	68	32	.	.	PUNCT
fbem-28216	69	1	it	it	PRON
fbem-28216	69	2	includes	include	VERB
fbem-28216	69	3	the	the	DET
fbem-28216	69	4	date	date	NOUN
fbem-28216	69	5	,	,	PUNCT
fbem-28216	69	6	opening	opening	NOUN
fbem-28216	69	7	price	price	NOUN
fbem-28216	69	8	,	,	PUNCT
fbem-28216	69	9	closing	closing	NOUN
fbem-28216	69	10	price	price	NOUN
fbem-28216	69	11	,	,	PUNCT
fbem-28216	69	12	highest	high	ADJ
fbem-28216	69	13	price	price	NOUN
fbem-28216	69	14	,	,	PUNCT
fbem-28216	69	15	and	and	CCONJ
fbem-28216	69	16	lowest	low	ADJ
fbem-28216	69	17	price	price	NOUN
fbem-28216	69	18	.	.	PUNCT
fbem-28216	70	1	4.2	4.2	NUM
fbem-28216	70	2	.	.	PUNCT
fbem-28216	70	3	data	datum	NOUN
fbem-28216	70	4	processing	processing	NOUN
fbem-28216	70	5	(	(	PUNCT
fbem-28216	70	6	1	1	X
fbem-28216	70	7	)	)	PUNCT
fbem-28216	70	8	read	read	VERB
fbem-28216	70	9	data	datum	NOUN
fbem-28216	70	10	df	df	NOUN
fbem-28216	70	11	=	=	SYM
fbem-28216	70	12	pd.read_csv("\users\zhouquan\desktop\data.csv	pd.read_csv("\users\zhouquan\desktop\data.csv	PROPN
fbem-28216	70	13	"	"	PUNCT
fbem-28216	70	14	,	,	PUNCT
fbem-28216	70	15	index_col=0	index_col=0	PROPN
fbem-28216	70	16	)	)	PUNCT
fbem-28216	70	17	table	table	NOUN
fbem-28216	70	18	1	1	NUM
fbem-28216	70	19	.	.	PUNCT
fbem-28216	70	20	data	datum	NOUN
fbem-28216	70	21	for	for	ADP
fbem-28216	70	22	ping	ping	PROPN
fbem-28216	70	23	an	an	DET
fbem-28216	70	24	bank	bank	NOUN
fbem-28216	70	25	's	's	PART
fbem-28216	70	26	stock	stock	NOUN
fbem-28216	70	27	datetime	datetime	NOUN
fbem-28216	70	28	open	open	ADJ
fbem-28216	70	29	close	close	ADJ
fbem-28216	70	30	low	low	ADJ
fbem-28216	70	31	high	high	ADJ
fbem-28216	70	32	2005/1/4	2005/1/4	NUM
fbem-28216	70	33	1.32	1.32	NUM
fbem-28216	70	34	1.31	1.31	NUM
fbem-28216	70	35	1.29	1.29	NUM
fbem-28216	70	36	1.32	1.32	NUM
fbem-28216	70	37	2005/1/5	2005/1/5	NUM
fbem-28216	70	38	1.31	1.31	NUM
fbem-28216	70	39	1.29	1.29	NUM
fbem-28216	70	40	1.27	1.27	NUM
fbem-28216	70	41	1.31	1.31	NUM
fbem-28216	70	42	2005/1/6	2005/1/6	NUM
fbem-28216	70	43	1.30	1.30	NUM
fbem-28216	70	44	1.31	1.31	NUM
fbem-28216	70	45	1.29	1.29	NUM
fbem-28216	70	46	1.32	1.32	NUM
fbem-28216	70	47	2005/1/7	2005/1/7	NUM
fbem-28216	70	48	1.32	1.32	NUM
fbem-28216	70	49	1.30	1.30	NUM
fbem-28216	70	50	1.29	1.29	NUM
fbem-28216	70	51	1.32	1.32	NUM
fbem-28216	70	52	2005/1/10	2005/1/10	NUM
fbem-28216	70	53	1.30	1.30	NUM
fbem-28216	70	54	1.32	1.32	NUM
fbem-28216	70	55	1.28	1.28	NUM
fbem-28216	70	56	1.32	1.32	NUM
fbem-28216	70	57	...	...	PUNCT
fbem-28216	70	58	...	...	PUNCT
fbem-28216	70	59	...	...	PUNCT
fbem-28216	70	60	...	...	PUNCT
fbem-28216	71	1	...	...	PUNCT
fbem-28216	72	1	2024/6/14	2024/6/14	NUM
fbem-28216	72	2	10.15	10.15	NUM
fbem-28216	72	3	10.18	10.18	NUM
fbem-28216	72	4	9.99	9.99	NUM
fbem-28216	72	5	10.23	10.23	NUM
fbem-28216	72	6	2024/6/17	2024/6/17	NUM
fbem-28216	72	7	10.13	10.13	NUM
fbem-28216	72	8	10.10	10.10	NUM
fbem-28216	72	9	10.08	10.08	NUM
fbem-28216	72	10	10.16	10.16	NUM
fbem-28216	72	11	2024/6/18	2024/6/18	NUM
fbem-28216	72	12	10.11	10.11	NUM
fbem-28216	72	13	10.08	10.08	NUM
fbem-28216	72	14	10.04	10.04	NUM
fbem-28216	72	15	10.16	10.16	NUM
fbem-28216	72	16	2024/6/19	2024/6/19	NUM
fbem-28216	72	17	10.10	10.10	NUM
fbem-28216	72	18	10.15	10.15	NUM
fbem-28216	72	19	10.08	10.08	NUM
fbem-28216	72	20	10.21	10.21	NUM
fbem-28216	72	21	2024/6/20	2024/6/20	PROPN
fbem-28216	72	22	10.16	10.16	NUM
fbem-28216	72	23	10.05	10.05	NUM
fbem-28216	72	24	10.05	10.05	NUM
fbem-28216	72	25	10.17	10.17	NUM
fbem-28216	72	26	(	(	PUNCT
fbem-28216	72	27	2	2	NUM
fbem-28216	72	28	)	)	PUNCT
fbem-28216	72	29	select	select	VERB
fbem-28216	72	30	the	the	DET
fbem-28216	72	31	'	'	PUNCT
fbem-28216	72	32	open	open	ADJ
fbem-28216	72	33	'	'	PUNCT
fbem-28216	72	34	,	,	PUNCT
fbem-28216	72	35	'	'	PUNCT
fbem-28216	72	36	low	low	ADJ
fbem-28216	72	37	'	'	PUNCT
fbem-28216	72	38	,	,	PUNCT
fbem-28216	72	39	'	'	PUNCT
fbem-28216	72	40	high	high	ADJ
fbem-28216	72	41	'	'	PUNCT
fbem-28216	72	42	columns	column	NOUN
fbem-28216	72	43	as	as	ADP
fbem-28216	72	44	features	feature	NOUN
fbem-28216	72	45	x	x	PUNCT
fbem-28216	72	46	from	from	ADP
fbem-28216	72	47	the	the	DET
fbem-28216	72	48	data	datum	NOUN
fbem-28216	72	49	frame	frame	NOUN
fbem-28216	72	50	df	df	PROPN
fbem-28216	72	51	,	,	PUNCT
fbem-28216	72	52	and	and	CCONJ
fbem-28216	72	53	choose	choose	VERB
fbem-28216	72	54	the	the	DET
fbem-28216	72	55	'	'	PUNCT
fbem-28216	72	56	close	close	ADJ
fbem-28216	72	57	'	'	PUNCT
fbem-28216	72	58	column	column	NOUN
fbem-28216	72	59	as	as	SCONJ
fbem-28216	72	60	the	the	DET
fbem-28216	72	61	target	target	NOUN
fbem-28216	72	62	variable	variable	ADJ
fbem-28216	72	63	y.	y.	NOUN
fbem-28216	72	64	take	take	VERB
fbem-28216	72	65	the	the	DET
fbem-28216	72	66	logarithm	logarithm	NOUN
fbem-28216	72	67	of	of	ADP
fbem-28216	72	68	the	the	DET
fbem-28216	72	69	features	feature	NOUN
fbem-28216	72	70	x	x	X
fbem-28216	72	71	to	to	PART
fbem-28216	72	72	obtain	obtain	VERB
fbem-28216	72	73	x_log	x_log	PROPN
fbem-28216	72	74	.	.	PUNCT
fbem-28216	73	1	then	then	ADV
fbem-28216	73	2	,	,	PUNCT
fbem-28216	73	3	create	create	VERB
fbem-28216	73	4	an	an	DET
fbem-28216	73	5	all	all	ADV
fbem-28216	73	6	-	-	PUNCT
fbem-28216	73	7	zero	zero	NUM
fbem-28216	73	8	array	array	NOUN
fbem-28216	73	9	as	as	ADP
fbem-28216	73	10	the	the	DET
fbem-28216	73	11	initial	initial	ADJ
fbem-28216	73	12	parameters	parameter	NOUN
fbem-28216	73	13	params_init	params_init	NUM
fbem-28216	73	14	,	,	PUNCT
fbem-28216	73	15	including	include	VERB
fbem-28216	73	16	the	the	DET
fbem-28216	73	17	intercept	intercept	NOUN
fbem-28216	73	18	.	.	PUNCT
fbem-28216	74	1	x	x	X
fbem-28216	75	1	=	=	PUNCT
fbem-28216	75	2	df[['open	df[['open	PROPN
fbem-28216	75	3	'	'	PUNCT
fbem-28216	75	4	,	,	PUNCT
fbem-28216	75	5	'	'	PUNCT
fbem-28216	75	6	low	low	ADJ
fbem-28216	75	7	'	'	PUNCT
fbem-28216	75	8	,	,	PUNCT
fbem-28216	75	9	'	'	PUNCT
fbem-28216	75	10	high']].values	high']].value	NOUN
fbem-28216	75	11	y	y	NOUN
fbem-28216	75	12	=	=	PROPN
fbem-28216	75	13	df['close'].values	df['close'].value	VERB
fbem-28216	75	14	x_log	x_log	NOUN
fbem-28216	75	15	=	=	SYM
fbem-28216	75	16	np.log(x	np.log(x	ADJ
fbem-28216	75	17	)	)	PUNCT
fbem-28216	75	18	params_init	params_init	PROPN
fbem-28216	75	19	=	=	SYM
fbem-28216	75	20	np.zeros(x_log.shape[1	np.zeros(x_log.shape[1	X
fbem-28216	75	21	]	]	X
fbem-28216	76	1	+	+	CCONJ
fbem-28216	76	2	1	1	X
fbem-28216	76	3	)	)	PUNCT
fbem-28216	76	4	27	27	NUM
fbem-28216	76	5	4.3	4.3	NUM
fbem-28216	76	6	.	.	PUNCT
fbem-28216	76	7	model	model	PROPN
fbem-28216	76	8	building	building	NOUN
fbem-28216	76	9	and	and	CCONJ
fbem-28216	76	10	prediction	prediction	NOUN
fbem-28216	76	11	(	(	PUNCT
fbem-28216	76	12	1	1	NUM
fbem-28216	76	13	)	)	PUNCT
fbem-28216	76	14	logarithmic	logarithmic	ADJ
fbem-28216	76	15	model	model	NOUN
fbem-28216	76	16	define	define	VERB
fbem-28216	76	17	the	the	DET
fbem-28216	76	18	`	`	PUNCT
fbem-28216	76	19	log_model	log_model	X
fbem-28216	76	20	`	`	PUNCT
fbem-28216	76	21	function	function	NOUN
fbem-28216	76	22	to	to	PART
fbem-28216	76	23	calculate	calculate	VERB
fbem-28216	76	24	the	the	DET
fbem-28216	76	25	predicted	predict	VERB
fbem-28216	76	26	values	value	NOUN
fbem-28216	76	27	of	of	ADP
fbem-28216	76	28	the	the	DET
fbem-28216	76	29	logarithmic	logarithmic	ADJ
fbem-28216	76	30	model	model	NOUN
fbem-28216	76	31	.	.	PUNCT
fbem-28216	77	1	define	define	VERB
fbem-28216	77	2	the	the	DET
fbem-28216	77	3	`	`	PUNCT
fbem-28216	77	4	residuals	residual	NOUN
fbem-28216	77	5	`	`	PUNCT
fbem-28216	77	6	function	function	NOUN
fbem-28216	77	7	to	to	PART
fbem-28216	77	8	calculate	calculate	VERB
fbem-28216	77	9	the	the	DET
fbem-28216	77	10	residuals	residual	NOUN
fbem-28216	77	11	.	.	PUNCT
fbem-28216	78	1	define	define	VERB
fbem-28216	78	2	the	the	DET
fbem-28216	78	3	`	`	PUNCT
fbem-28216	78	4	gauss_newton	gauss_newton	PROPN
fbem-28216	78	5	`	`	PUNCT
fbem-28216	78	6	function	function	NOUN
fbem-28216	78	7	to	to	PART
fbem-28216	78	8	estimate	estimate	VERB
fbem-28216	78	9	the	the	DET
fbem-28216	78	10	parameters	parameter	NOUN
fbem-28216	78	11	using	use	VERB
fbem-28216	78	12	the	the	DET
fbem-28216	78	13	gauss	gauss	PROPN
fbem-28216	78	14	-	-	PUNCT
fbem-28216	78	15	newton	newton	PROPN
fbem-28216	78	16	iterative	iterative	NOUN
fbem-28216	78	17	method	method	NOUN
fbem-28216	78	18	.	.	PUNCT
fbem-28216	79	1	call	call	VERB
fbem-28216	79	2	the	the	DET
fbem-28216	79	3	`	`	PUNCT
fbem-28216	79	4	gauss_newton	gauss_newton	PROPN
fbem-28216	79	5	`	`	PUNCT
fbem-28216	79	6	function	function	NOUN
fbem-28216	79	7	to	to	PART
fbem-28216	79	8	estimate	estimate	VERB
fbem-28216	79	9	the	the	DET
fbem-28216	79	10	parameters	parameter	NOUN
fbem-28216	79	11	`	`	PUNCT
fbem-28216	79	12	params_estimated_gn_custom	params_estimated_gn_custom	NOUN
fbem-28216	79	13	`	`	PUNCT
fbem-28216	79	14	.	.	PUNCT
fbem-28216	80	1	use	use	VERB
fbem-28216	80	2	the	the	DET
fbem-28216	80	3	estimated	estimate	VERB
fbem-28216	80	4	parameters	parameter	NOUN
fbem-28216	80	5	to	to	PART
fbem-28216	80	6	predict	predict	VERB
fbem-28216	80	7	`	`	PUNCT
fbem-28216	80	8	x_log	x_log	PROPN
fbem-28216	80	9	`	`	PUNCT
fbem-28216	80	10	to	to	PART
fbem-28216	80	11	get	get	VERB
fbem-28216	80	12	`	`	PUNCT
fbem-28216	80	13	y_pred_gn_custom	y_pred_gn_custom	NOUN
fbem-28216	80	14	`	`	PUNCT
fbem-28216	80	15	.	.	PUNCT
fbem-28216	81	1	calculate	calculate	VERB
fbem-28216	81	2	the	the	DET
fbem-28216	81	3	mean	mean	ADJ
fbem-28216	81	4	squared	square	VERB
fbem-28216	81	5	error	error	NOUN
fbem-28216	81	6	`	`	PUNCT
fbem-28216	81	7	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	81	8	`	`	PUNCT
fbem-28216	81	9	between	between	ADP
fbem-28216	81	10	the	the	DET
fbem-28216	81	11	predicted	predict	VERB
fbem-28216	81	12	results	result	NOUN
fbem-28216	81	13	`	`	PUNCT
fbem-28216	81	14	y_pred_gn_custom	y_pred_gn_custom	NOUN
fbem-28216	81	15	`	`	PUNCT
fbem-28216	81	16	and	and	CCONJ
fbem-28216	81	17	the	the	DET
fbem-28216	81	18	actual	actual	ADJ
fbem-28216	81	19	values	value	NOUN
fbem-28216	81	20	`	`	PUNCT
fbem-28216	81	21	y	y	X
fbem-28216	81	22	`	`	PUNCT
fbem-28216	81	23	.	.	PUNCT
fbem-28216	82	1	output	output	VERB
fbem-28216	82	2	the	the	DET
fbem-28216	82	3	estimated	estimate	VERB
fbem-28216	82	4	parameters	parameter	NOUN
fbem-28216	82	5	̀	̀	VERB
fbem-28216	82	6	params_estimated_gn_custom	params_estimated_gn_custom	NOUN
fbem-28216	82	7	`	`	PUNCT
fbem-28216	82	8	and	and	CCONJ
fbem-28216	82	9	the	the	DET
fbem-28216	82	10	mean	mean	ADJ
fbem-28216	82	11	squared	square	VERB
fbem-28216	82	12	error	error	NOUN
fbem-28216	82	13	`	`	PUNCT
fbem-28216	82	14	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	82	15	`	`	PUNCT
fbem-28216	82	16	.	.	PUNCT
fbem-28216	83	1	def	def	ADJ
fbem-28216	83	2	log_model(params	log_model(param	NOUN
fbem-28216	83	3	,	,	PUNCT
fbem-28216	83	4	x	x	X
fbem-28216	83	5	):	):	PUNCT
fbem-28216	83	6	return	return	NOUN
fbem-28216	83	7	params[0	params[0	PROPN
fbem-28216	83	8	]	]	PUNCT
fbem-28216	83	9	+	+	CCONJ
fbem-28216	83	10	np.dot(x	np.dot(x	PROPN
fbem-28216	83	11	,	,	PUNCT
fbem-28216	83	12	params[1	params[1	NUM
fbem-28216	83	13	:]	:]	SYM
fbem-28216	83	14	)	)	PUNCT
fbem-28216	83	15	def	def	ADJ
fbem-28216	83	16	residuals(params	residuals(params	PROPN
fbem-28216	83	17	,	,	PUNCT
fbem-28216	83	18	x	x	PRON
fbem-28216	83	19	,	,	PUNCT
fbem-28216	83	20	y	y	PROPN
fbem-28216	83	21	):	):	PUNCT
fbem-28216	83	22	return	return	VERB
fbem-28216	83	23	y	y	PROPN
fbem-28216	83	24	log_model(params	log_model(param	NOUN
fbem-28216	83	25	,	,	PUNCT
fbem-28216	83	26	x	x	X
fbem-28216	83	27	)	)	PUNCT
fbem-28216	83	28	def	def	PROPN
fbem-28216	83	29	gauss_newton(x	gauss_newton(x	PROPN
fbem-28216	83	30	,	,	PUNCT
fbem-28216	83	31	y	y	PROPN
fbem-28216	83	32	,	,	PUNCT
fbem-28216	83	33	params_init	params_init	NOUN
fbem-28216	83	34	,	,	PUNCT
fbem-28216	83	35	max_iter=100	max_iter=100	PROPN
fbem-28216	83	36	,	,	PUNCT
fbem-28216	83	37	tol=1e-6	tol=1e-6	PUNCT
fbem-28216	83	38	):	):	PUNCT
fbem-28216	83	39	params	param	NOUN
fbem-28216	83	40	=	=	PUNCT
fbem-28216	83	41	params_init	params_init	PROPN
fbem-28216	83	42	for	for	ADP
fbem-28216	83	43	i	i	PRON
fbem-28216	83	44	in	in	ADP
fbem-28216	83	45	range(max_iter	range(max_iter	NOUN
fbem-28216	83	46	):	):	PUNCT
fbem-28216	83	47	y_pred	y_pre	VERB
fbem-28216	83	48	=	=	SYM
fbem-28216	83	49	log_model(params	log_model(param	NOUN
fbem-28216	83	50	,	,	PUNCT
fbem-28216	83	51	x	x	X
fbem-28216	83	52	)	)	PUNCT
fbem-28216	83	53	residuals	residual	NOUN
fbem-28216	83	54	=	=	PUNCT
fbem-28216	83	55	y	y	NOUN
fbem-28216	83	56	y_pred	y_pred	NUM
fbem-28216	83	57	j	j	PROPN
fbem-28216	83	58	=	=	PUNCT
fbem-28216	83	59	np.hstack((np.ones((x.shape[0	np.hstack((np.ones((x.shape[0	NOUN
fbem-28216	83	60	]	]	PUNCT
fbem-28216	83	61	,	,	PUNCT
fbem-28216	83	62	1	1	NUM
fbem-28216	83	63	)	)	PUNCT
fbem-28216	83	64	)	)	PUNCT
fbem-28216	83	65	,	,	PUNCT
fbem-28216	83	66	x	x	X
fbem-28216	83	67	)	)	PUNCT
fbem-28216	83	68	)	)	PUNCT
fbem-28216	83	69	delta	delta	NOUN
fbem-28216	83	70	=	=	PUNCT
fbem-28216	83	71	np.linalg.inv(j.t	np.linalg.inv(j.t	NOUN
fbem-28216	83	72	@	@	ADP
fbem-28216	83	73	j	j	PROPN
fbem-28216	83	74	)	)	PUNCT
fbem-28216	83	75	@	@	PUNCT
fbem-28216	84	1	j.t	j.t	PROPN
fbem-28216	84	2	@	@	ADP
fbem-28216	84	3	residuals	residual	NOUN
fbem-28216	84	4	params_new	params_new	ADJ
fbem-28216	84	5	=	=	PUNCT
fbem-28216	84	6	params	param	NOUN
fbem-28216	84	7	+	+	X
fbem-28216	84	8	delta	delta	NOUN
fbem-28216	84	9	if	if	SCONJ
fbem-28216	84	10	np.linalg.norm(delta	np.linalg.norm(delta	NOUN
fbem-28216	84	11	)	)	PUNCT
fbem-28216	84	12	tol	tol	NOUN
fbem-28216	84	13	:	:	PUNCT
fbem-28216	84	14	break	break	NOUN
fbem-28216	84	15	params	param	NOUN
fbem-28216	84	16	=	=	NOUN
fbem-28216	84	17	params_new	params_new	PRON
fbem-28216	84	18	return	return	NOUN
fbem-28216	84	19	params	param	VERB
fbem-28216	84	20	params_estimated_gn_custom	params_estimated_gn_custom	NOUN
fbem-28216	84	21	=	=	SYM
fbem-28216	84	22	gauss_newton(x_log	gauss_newton(x_log	PROPN
fbem-28216	84	23	,	,	PUNCT
fbem-28216	84	24	y	y	PROPN
fbem-28216	84	25	,	,	PUNCT
fbem-28216	84	26	params_init	params_init	NOUN
fbem-28216	84	27	)	)	PUNCT
fbem-28216	84	28	y_pred_gn_custom	y_pred_gn_custom	NOUN
fbem-28216	84	29	=	=	SYM
fbem-28216	84	30	log_model(params_estimated_gn_custom	log_model(params_estimated_gn_custom	PROPN
fbem-28216	84	31	,	,	PUNCT
fbem-28216	84	32	x_log	x_log	PROPN
fbem-28216	84	33	)	)	PUNCT
fbem-28216	84	34	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	84	35	=	=	SYM
fbem-28216	84	36	mean_squared_error(y	mean_squared_error(y	ADJ
fbem-28216	84	37	,	,	PUNCT
fbem-28216	84	38	y_pred_gn_custom	y_pred_gn_custom	NOUN
fbem-28216	84	39	)	)	PUNCT
fbem-28216	84	40	params_estimated_gn_custom	params_estimated_gn_custom	NUM
fbem-28216	84	41	,	,	PUNCT
fbem-28216	84	42	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	84	43	(	(	PUNCT
fbem-28216	84	44	2	2	NUM
fbem-28216	84	45	)	)	PUNCT
fbem-28216	84	46	exponential	exponential	ADJ
fbem-28216	84	47	model	model	NOUN
fbem-28216	84	48	take	take	VERB
fbem-28216	84	49	the	the	DET
fbem-28216	84	50	logarithm	logarithm	NOUN
fbem-28216	84	51	of	of	ADP
fbem-28216	84	52	the	the	DET
fbem-28216	84	53	target	target	NOUN
fbem-28216	84	54	variable	variable	ADJ
fbem-28216	84	55	y	y	PROPN
fbem-28216	84	56	to	to	PART
fbem-28216	84	57	obtain	obtain	VERB
fbem-28216	84	58	y_log	y_log	PROPN
fbem-28216	84	59	.	.	PUNCT
fbem-28216	84	60	define	define	VERB
fbem-28216	84	61	the	the	DET
fbem-28216	84	62	exponential	exponential	ADJ
fbem-28216	84	63	model	model	NOUN
fbem-28216	84	64	`	`	PUNCT
fbem-28216	84	65	exp_model	exp_model	X
fbem-28216	84	66	`	`	PUNCT
fbem-28216	84	67	and	and	CCONJ
fbem-28216	84	68	the	the	DET
fbem-28216	84	69	linearized	linearized	ADJ
fbem-28216	84	70	model	model	NOUN
fbem-28216	84	71	`	`	PUNCT
fbem-28216	84	72	linearized_model	linearized_model	PROPN
fbem-28216	84	73	`	`	PUNCT
fbem-28216	84	74	.	.	PUNCT
fbem-28216	85	1	define	define	VERB
fbem-28216	85	2	the	the	DET
fbem-28216	85	3	residuals	residual	NOUN
fbem-28216	85	4	function	function	NOUN
fbem-28216	85	5	`	`	PUNCT
fbem-28216	85	6	residuals	residual	NOUN
fbem-28216	85	7	`	`	PUNCT
fbem-28216	85	8	,	,	PUNCT
fbem-28216	85	9	which	which	PRON
fbem-28216	85	10	is	be	AUX
fbem-28216	85	11	used	use	VERB
fbem-28216	85	12	to	to	PART
fbem-28216	85	13	calculate	calculate	VERB
fbem-28216	85	14	the	the	DET
fbem-28216	85	15	residuals	residual	NOUN
fbem-28216	85	16	between	between	ADP
fbem-28216	85	17	the	the	DET
fbem-28216	85	18	observed	observed	ADJ
fbem-28216	85	19	values	value	NOUN
fbem-28216	85	20	and	and	CCONJ
fbem-28216	85	21	the	the	DET
fbem-28216	85	22	predicted	predict	VERB
fbem-28216	85	23	values	value	NOUN
fbem-28216	85	24	.	.	PUNCT
fbem-28216	86	1	define	define	VERB
fbem-28216	86	2	the	the	DET
fbem-28216	86	3	gauss	gauss	PROPN
fbem-28216	86	4	-	-	PUNCT
fbem-28216	86	5	newton	newton	PROPN
fbem-28216	86	6	iterative	iterative	PROPN
fbem-28216	86	7	method	method	NOUN
fbem-28216	86	8	function	function	NOUN
fbem-28216	86	9	`	`	PUNCT
fbem-28216	86	10	gauss_newton	gauss_newton	PROPN
fbem-28216	86	11	`	`	PUNCT
fbem-28216	86	12	,	,	PUNCT
fbem-28216	86	13	which	which	PRON
fbem-28216	86	14	is	be	AUX
fbem-28216	86	15	used	use	VERB
fbem-28216	86	16	to	to	PART
fbem-28216	86	17	estimate	estimate	VERB
fbem-28216	86	18	the	the	DET
fbem-28216	86	19	parameters	parameter	NOUN
fbem-28216	86	20	through	through	ADP
fbem-28216	86	21	iterative	iterative	NOUN
fbem-28216	86	22	optimization	optimization	NOUN
fbem-28216	86	23	.	.	PUNCT
fbem-28216	87	1	use	use	VERB
fbem-28216	87	2	the	the	DET
fbem-28216	87	3	gauss	gauss	PROPN
fbem-28216	87	4	-	-	PUNCT
fbem-28216	87	5	newton	newton	PROPN
fbem-28216	87	6	iterative	iterative	NOUN
fbem-28216	87	7	method	method	NOUN
fbem-28216	87	8	to	to	PART
fbem-28216	87	9	estimate	estimate	VERB
fbem-28216	87	10	the	the	DET
fbem-28216	87	11	parameters	parameter	NOUN
fbem-28216	87	12	`	`	PUNCT
fbem-28216	87	13	params_estimated_gn_custom	params_estimated_gn_custom	PRON
fbem-28216	87	14	`	`	PUNCT
fbem-28216	87	15	.	.	PUNCT
fbem-28216	88	1	convert	convert	VERB
fbem-28216	88	2	the	the	DET
fbem-28216	88	3	estimated	estimate	VERB
fbem-28216	88	4	parameters	parameter	NOUN
fbem-28216	88	5	back	back	ADV
fbem-28216	88	6	to	to	ADP
fbem-28216	88	7	the	the	DET
fbem-28216	88	8	original	original	ADJ
fbem-28216	88	9	parameters	parameter	NOUN
fbem-28216	88	10	.	.	PUNCT
fbem-28216	89	1	use	use	VERB
fbem-28216	89	2	the	the	DET
fbem-28216	89	3	estimated	estimate	VERB
fbem-28216	89	4	parameters	parameter	NOUN
fbem-28216	89	5	to	to	PART
fbem-28216	89	6	make	make	VERB
fbem-28216	89	7	predictions	prediction	NOUN
fbem-28216	89	8	and	and	CCONJ
fbem-28216	89	9	obtain	obtain	VERB
fbem-28216	89	10	`	`	PUNCT
fbem-28216	89	11	y_pred_gn_custom	y_pred_gn_custom	NOUN
fbem-28216	89	12	`	`	PUNCT
fbem-28216	89	13	.	.	PUNCT
fbem-28216	90	1	calculate	calculate	VERB
fbem-28216	90	2	the	the	DET
fbem-28216	90	3	mean	mean	ADJ
fbem-28216	90	4	squared	square	VERB
fbem-28216	90	5	error	error	NOUN
fbem-28216	90	6	`	`	PUNCT
fbem-28216	90	7	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	90	8	`	`	PUNCT
fbem-28216	90	9	between	between	ADP
fbem-28216	90	10	the	the	DET
fbem-28216	90	11	predicted	predict	VERB
fbem-28216	90	12	values	value	NOUN
fbem-28216	90	13	and	and	CCONJ
fbem-28216	90	14	the	the	DET
fbem-28216	90	15	actual	actual	ADJ
fbem-28216	90	16	values	value	NOUN
fbem-28216	90	17	.	.	PUNCT
fbem-28216	91	1	output	output	VERB
fbem-28216	91	2	the	the	DET
fbem-28216	91	3	estimated	estimate	VERB
fbem-28216	91	4	parameters	parameter	NOUN
fbem-28216	91	5	`	`	PUNCT
fbem-28216	91	6	params_estimated_gn_custom	params_estimated_gn_custom	NUM
fbem-28216	91	7	`	`	PUNCT
fbem-28216	91	8	and	and	CCONJ
fbem-28216	91	9	the	the	DET
fbem-28216	91	10	mean	mean	ADJ
fbem-28216	91	11	squared	square	VERB
fbem-28216	91	12	error	error	NOUN
fbem-28216	91	13	`	`	PUNCT
fbem-28216	91	14	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	91	15	`	`	PUNCT
fbem-28216	91	16	.	.	PUNCT
fbem-28216	92	1	y_log	y_log	X
fbem-28216	92	2	=	=	SYM
fbem-28216	92	3	np.log(y	np.log(y	PROPN
fbem-28216	92	4	)	)	PUNCT
fbem-28216	92	5	def	def	ADJ
fbem-28216	92	6	exp_model(params	exp_model(param	NOUN
fbem-28216	92	7	,	,	PUNCT
fbem-28216	92	8	x	x	X
fbem-28216	92	9	):	):	PUNCT
fbem-28216	92	10	return	return	NOUN
fbem-28216	92	11	params[0	params[0	PROPN
fbem-28216	92	12	]	]	X
fbem-28216	92	13	*	*	PUNCT
fbem-28216	92	14	np.exp(np.dot(x	np.exp(np.dot(x	NOUN
fbem-28216	92	15	,	,	PUNCT
fbem-28216	92	16	params[1	params[1	PRON
fbem-28216	92	17	:]	:]	NUM
fbem-28216	92	18	)	)	PUNCT
fbem-28216	92	19	)	)	PUNCT
fbem-28216	93	1	def	def	ADJ
fbem-28216	93	2	linearized_model(params	linearized_model(params	PROPN
fbem-28216	93	3	,	,	PUNCT
fbem-28216	93	4	x	x	X
fbem-28216	93	5	):	):	PUNCT
fbem-28216	93	6	return	return	NOUN
fbem-28216	93	7	params[0	params[0	PROPN
fbem-28216	93	8	]	]	PUNCT
fbem-28216	93	9	+	+	CCONJ
fbem-28216	93	10	np.dot(x	np.dot(x	PROPN
fbem-28216	93	11	,	,	PUNCT
fbem-28216	93	12	params[1	params[1	NUM
fbem-28216	93	13	:]	:]	SYM
fbem-28216	93	14	)	)	PUNCT
fbem-28216	93	15	def	def	ADJ
fbem-28216	93	16	residuals(params	residuals(params	PROPN
fbem-28216	93	17	,	,	PUNCT
fbem-28216	93	18	x	x	PRON
fbem-28216	93	19	,	,	PUNCT
fbem-28216	93	20	y	y	PROPN
fbem-28216	93	21	):	):	PUNCT
fbem-28216	93	22	return	return	NOUN
fbem-28216	93	23	y	y	PROPN
fbem-28216	93	24	linearized_model(params	linearized_model(params	PROPN
fbem-28216	93	25	,	,	PUNCT
fbem-28216	93	26	x	x	X
fbem-28216	93	27	)	)	PUNCT
fbem-28216	93	28	def	def	PROPN
fbem-28216	93	29	gauss_newton(x	gauss_newton(x	PROPN
fbem-28216	93	30	,	,	PUNCT
fbem-28216	93	31	y	y	PROPN
fbem-28216	93	32	,	,	PUNCT
fbem-28216	93	33	params_init	params_init	NOUN
fbem-28216	93	34	,	,	PUNCT
fbem-28216	93	35	max_iter=100	max_iter=100	PROPN
fbem-28216	93	36	,	,	PUNCT
fbem-28216	93	37	tol=1e-6	tol=1e-6	PUNCT
fbem-28216	93	38	):	):	PUNCT
fbem-28216	93	39	params	param	NOUN
fbem-28216	93	40	=	=	PUNCT
fbem-28216	93	41	params_init	params_init	PROPN
fbem-28216	93	42	for	for	ADP
fbem-28216	93	43	i	i	PRON
fbem-28216	93	44	in	in	ADP
fbem-28216	93	45	range(max_iter	range(max_iter	NOUN
fbem-28216	93	46	):	):	PUNCT
fbem-28216	93	47	y_pred	y_pre	VERB
fbem-28216	93	48	=	=	PUNCT
fbem-28216	93	49	linearized_model(params	linearized_model(params	PROPN
fbem-28216	93	50	,	,	PUNCT
fbem-28216	93	51	x	x	X
fbem-28216	93	52	)	)	PUNCT
fbem-28216	93	53	residuals	residual	NOUN
fbem-28216	93	54	=	=	PUNCT
fbem-28216	93	55	y	y	NOUN
fbem-28216	93	56	y_pred	y_pred	NUM
fbem-28216	93	57	j	j	PROPN
fbem-28216	93	58	=	=	PUNCT
fbem-28216	93	59	np.hstack((np.ones((x.shape[0	np.hstack((np.ones((x.shape[0	NOUN
fbem-28216	93	60	]	]	PUNCT
fbem-28216	93	61	,	,	PUNCT
fbem-28216	93	62	1	1	NUM
fbem-28216	93	63	)	)	PUNCT
fbem-28216	93	64	)	)	PUNCT
fbem-28216	93	65	,	,	PUNCT
fbem-28216	93	66	x	x	X
fbem-28216	93	67	)	)	PUNCT
fbem-28216	93	68	)	)	PUNCT
fbem-28216	93	69	delta	delta	NOUN
fbem-28216	93	70	=	=	PUNCT
fbem-28216	93	71	np.linalg.inv(j.t	np.linalg.inv(j.t	NOUN
fbem-28216	93	72	@	@	ADP
fbem-28216	93	73	j	j	PROPN
fbem-28216	93	74	)	)	PUNCT
fbem-28216	93	75	@	@	PUNCT
fbem-28216	94	1	j.t	j.t	PROPN
fbem-28216	94	2	@	@	ADP
fbem-28216	94	3	residuals	residual	NOUN
fbem-28216	94	4	params_new	params_new	ADJ
fbem-28216	94	5	=	=	PUNCT
fbem-28216	94	6	params	param	NOUN
fbem-28216	94	7	+	+	X
fbem-28216	94	8	delta	delta	NOUN
fbem-28216	94	9	if	if	SCONJ
fbem-28216	94	10	np.linalg.norm(delta	np.linalg.norm(delta	NOUN
fbem-28216	94	11	)	)	PUNCT
fbem-28216	94	12	tol	tol	NOUN
fbem-28216	94	13	:	:	PUNCT
fbem-28216	94	14	break	break	NOUN
fbem-28216	94	15	params	param	NOUN
fbem-28216	94	16	=	=	NOUN
fbem-28216	94	17	params_new	params_new	PRON
fbem-28216	94	18	return	return	NOUN
fbem-28216	94	19	params	param	VERB
fbem-28216	94	20	params_estimated_gn_custom	params_estimated_gn_custom	NOUN
fbem-28216	94	21	=	=	SYM
fbem-28216	94	22	gauss_newton(x	gauss_newton(x	PROPN
fbem-28216	94	23	,	,	PUNCT
fbem-28216	94	24	y_log	y_log	PROPN
fbem-28216	94	25	,	,	PUNCT
fbem-28216	94	26	params_init	params_init	NUM
fbem-28216	94	27	)	)	PUNCT
fbem-28216	94	28	params_estimated_gn_custom[0	params_estimated_gn_custom[0	X
fbem-28216	94	29	]	]	PUNCT
fbem-28216	94	30	=	=	SYM
fbem-28216	94	31	np.exp(params_estimated_gn_custom[0	np.exp(params_estimated_gn_custom[0	X
fbem-28216	94	32	]	]	PUNCT
fbem-28216	94	33	)	)	PUNCT
fbem-28216	94	34	y_pred_gn_custom	y_pred_gn_custom	PROPN
fbem-28216	94	35	=	=	SYM
fbem-28216	94	36	exp_model(params_estimated_gn_custom	exp_model(params_estimated_gn_custom	PROPN
fbem-28216	94	37	,	,	PUNCT
fbem-28216	94	38	x	x	NOUN
fbem-28216	94	39	)	)	PUNCT
fbem-28216	94	40	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	94	41	=	=	SYM
fbem-28216	94	42	mean_squared_error(y	mean_squared_error(y	ADJ
fbem-28216	94	43	,	,	PUNCT
fbem-28216	94	44	y_pred_gn_custom	y_pred_gn_custom	NOUN
fbem-28216	94	45	)	)	PUNCT
fbem-28216	94	46	params_estimated_gn_custom	params_estimated_gn_custom	NUM
fbem-28216	94	47	,	,	PUNCT
fbem-28216	94	48	mse_gn_custom	mse_gn_custom	NOUN
fbem-28216	94	49	(	(	PUNCT
fbem-28216	94	50	3	3	NUM
fbem-28216	94	51	)	)	PUNCT
fbem-28216	94	52	power	power	NOUN
fbem-28216	94	53	function	function	NOUN
fbem-28216	94	54	model	model	NOUN
fbem-28216	94	55	take	take	VERB
fbem-28216	94	56	the	the	DET
fbem-28216	94	57	logarithm	logarithm	NOUN
fbem-28216	94	58	of	of	ADP
fbem-28216	94	59	the	the	DET
fbem-28216	94	60	features	feature	NOUN
fbem-28216	94	61	and	and	CCONJ
fbem-28216	94	62	the	the	DET
fbem-28216	94	63	target	target	NOUN
fbem-28216	94	64	variable	variable	NOUN
fbem-28216	94	65	,	,	PUNCT
fbem-28216	94	66	define	define	VERB
fbem-28216	94	67	the	the	DET
fbem-28216	94	68	linearized	linearize	VERB
fbem-28216	94	69	power	power	NOUN
fbem-28216	94	70	function	function	NOUN
fbem-28216	94	71	model	model	NOUN
fbem-28216	94	72	`	`	PUNCT
fbem-28216	94	73	power_model	power_model	PROPN
fbem-28216	94	74	`	`	PUNCT
fbem-28216	94	75	.	.	PUNCT
fbem-28216	95	1	x_log	x_log	X
fbem-28216	95	2	=	=	PUNCT
fbem-28216	95	3	np.log(x	np.log(x	ADJ
fbem-28216	95	4	)	)	PUNCT
fbem-28216	95	5	y_log	y_log	X
fbem-28216	95	6	=	=	SYM
fbem-28216	95	7	np.log(y	np.log(y	PROPN
fbem-28216	95	8	)	)	PUNCT
fbem-28216	95	9	def	def	ADJ
fbem-28216	95	10	power_model(params	power_model(params	PROPN
fbem-28216	95	11	,	,	PUNCT
fbem-28216	95	12	x	x	X
fbem-28216	95	13	):	):	PUNCT
fbem-28216	95	14	return	return	NOUN
fbem-28216	95	15	params[0	params[0	PROPN
fbem-28216	95	16	]	]	PUNCT
fbem-28216	95	17	+	+	CCONJ
fbem-28216	95	18	np.dot(x	np.dot(x	PROPN
fbem-28216	95	19	,	,	PUNCT
fbem-28216	95	20	params[1	params[1	PRON
fbem-28216	95	21	:]	:]	SYM
fbem-28216	95	22	)	)	PUNCT
fbem-28216	95	23	the	the	DET
fbem-28216	95	24	rest	rest	NOUN
fbem-28216	95	25	of	of	ADP
fbem-28216	95	26	the	the	DET
fbem-28216	95	27	code	code	NOUN
fbem-28216	95	28	,	,	PUNCT
fbem-28216	95	29	excluding	exclude	VERB
fbem-28216	95	30	the	the	DET
fbem-28216	95	31	model	model	NOUN
fbem-28216	95	32	names	name	NOUN
fbem-28216	95	33	,	,	PUNCT
fbem-28216	95	34	is	be	AUX
fbem-28216	95	35	consistent	consistent	ADJ
fbem-28216	95	36	with	with	ADP
fbem-28216	95	37	the	the	DET
fbem-28216	95	38	code	code	NOUN
fbem-28216	95	39	for	for	ADP
fbem-28216	95	40	the	the	DET
fbem-28216	95	41	exponential	exponential	ADJ
fbem-28216	95	42	model	model	NOUN
fbem-28216	95	43	.	.	PUNCT
fbem-28216	96	1	4.4	4.4	NUM
fbem-28216	96	2	.	.	PUNCT
fbem-28216	96	3	graphical	graphical	ADJ
fbem-28216	96	4	observation	observation	NOUN
fbem-28216	96	5	(	(	PUNCT
fbem-28216	96	6	1	1	X
fbem-28216	96	7	)	)	PUNCT
fbem-28216	96	8	logarithmic	logarithmic	ADJ
fbem-28216	96	9	model	model	NOUN
fbem-28216	96	10	draw	draw	VERB
fbem-28216	96	11	a	a	DET
fbem-28216	96	12	line	line	NOUN
fbem-28216	96	13	chart	chart	NOUN
fbem-28216	96	14	of	of	ADP
fbem-28216	96	15	the	the	DET
fbem-28216	96	16	actual	actual	ADJ
fbem-28216	96	17	and	and	CCONJ
fbem-28216	96	18	predicted	predict	VERB
fbem-28216	96	19	closing	closing	NOUN
fbem-28216	96	20	prices	price	NOUN
fbem-28216	96	21	.	.	PUNCT
fbem-28216	97	1	first	first	ADV
fbem-28216	97	2	,	,	PUNCT
fbem-28216	97	3	create	create	VERB
fbem-28216	97	4	a	a	DET
fbem-28216	97	5	chart	chart	NOUN
fbem-28216	97	6	and	and	CCONJ
fbem-28216	97	7	axes	axis	NOUN
fbem-28216	97	8	,	,	PUNCT
fbem-28216	97	9	then	then	ADV
fbem-28216	97	10	plot	plot	VERB
fbem-28216	97	11	the	the	DET
fbem-28216	97	12	actual	actual	ADJ
fbem-28216	97	13	closing	closing	NOUN
fbem-28216	97	14	prices	price	NOUN
fbem-28216	97	15	in	in	ADP
fbem-28216	97	16	red	red	ADJ
fbem-28216	97	17	dashed	dash	VERB
fbem-28216	97	18	line	line	NOUN
fbem-28216	97	19	and	and	CCONJ
fbem-28216	97	20	add	add	VERB
fbem-28216	97	21	the	the	DET
fbem-28216	97	22	label	label	NOUN
fbem-28216	97	23	'	'	PUNCT
fbem-28216	97	24	true	true	ADJ
fbem-28216	97	25	'	'	PUNCT
fbem-28216	97	26	.	.	PUNCT
fbem-28216	98	1	next	next	ADV
fbem-28216	98	2	,	,	PUNCT
fbem-28216	98	3	plot	plot	VERB
fbem-28216	98	4	the	the	DET
fbem-28216	98	5	predicted	predict	VERB
fbem-28216	98	6	values	value	NOUN
fbem-28216	98	7	in	in	ADP
fbem-28216	98	8	blue	blue	ADJ
fbem-28216	98	9	solid	solid	ADJ
fbem-28216	98	10	line	line	NOUN
fbem-28216	98	11	and	and	CCONJ
fbem-28216	98	12	add	add	VERB
fbem-28216	98	13	the	the	DET
fbem-28216	98	14	label	label	NOUN
fbem-28216	98	15	'	'	PUNCT
fbem-28216	98	16	pred	pre	VERB
fbem-28216	98	17	'	'	PUNCT
fbem-28216	98	18	.	.	PUNCT
fbem-28216	99	1	set	set	VERB
fbem-28216	99	2	the	the	DET
fbem-28216	99	3	chart	chart	NOUN
fbem-28216	99	4	title	title	NOUN
fbem-28216	99	5	to	to	ADP
fbem-28216	99	6	'	'	PUNCT
fbem-28216	99	7	true	true	ADJ
fbem-28216	99	8	vs	vs	ADP
fbem-28216	99	9	pred	pre	VERB
fbem-28216	99	10	'	'	PROPN
fbem-28216	99	11	,	,	PUNCT
fbem-28216	99	12	the	the	DET
fbem-28216	99	13	x	x	ADJ
fbem-28216	99	14	-	-	ADJ
fbem-28216	99	15	axis	axis	ADJ
fbem-28216	99	16	label	label	NOUN
fbem-28216	99	17	to	to	ADP
fbem-28216	99	18	'	'	PUNCT
fbem-28216	99	19	datetime	datetime	VERB
fbem-28216	99	20	'	'	PUNCT
fbem-28216	99	21	,	,	PUNCT
fbem-28216	99	22	and	and	CCONJ
fbem-28216	99	23	the	the	DET
fbem-28216	99	24	y	y	ADJ
fbem-28216	99	25	-	-	PUNCT
fbem-28216	99	26	axis	axis	NOUN
fbem-28216	99	27	label	label	NOUN
fbem-28216	99	28	to	to	ADP
fbem-28216	99	29	'	'	PUNCT
fbem-28216	99	30	close	close	ADJ
fbem-28216	99	31	price	price	NOUN
fbem-28216	99	32	'	'	PUNCT
fbem-28216	99	33	.	.	PUNCT
fbem-28216	100	1	finally	finally	ADV
fbem-28216	100	2	,	,	PUNCT
fbem-28216	100	3	add	add	VERB
fbem-28216	100	4	a	a	DET
fbem-28216	100	5	legend	legend	NOUN
fbem-28216	100	6	and	and	CCONJ
fbem-28216	100	7	adjust	adjust	VERB
fbem-28216	100	8	the	the	DET
fbem-28216	100	9	layout	layout	NOUN
fbem-28216	100	10	of	of	ADP
fbem-28216	100	11	the	the	DET
fbem-28216	100	12	chart	chart	NOUN
fbem-28216	100	13	.	.	PUNCT
fbem-28216	101	1	fig	fig	NOUN
fbem-28216	101	2	,	,	PUNCT
fbem-28216	101	3	ax	ax	NOUN
fbem-28216	101	4	=	=	NOUN
fbem-28216	101	5	plt.subplots(figsize=(12	plt.subplots(figsize=(12	NOUN
fbem-28216	101	6	,	,	PUNCT
fbem-28216	101	7	8)	8)	NUM
fbem-28216	101	8	)	)	PUNCT
fbem-28216	101	9	df.close.plot(ax	df.close.plot(ax	NOUN
fbem-28216	101	10	=	=	SYM
fbem-28216	101	11	ax	ax	NOUN
fbem-28216	101	12	,	,	PUNCT
fbem-28216	101	13	c='r	c='r	NOUN
fbem-28216	101	14	'	'	PUNCT
fbem-28216	101	15	,	,	PUNCT
fbem-28216	101	16	linestyle=	linestyle=	PROPN
fbem-28216	101	17	'	'	PUNCT
fbem-28216	101	18	:	:	PUNCT
fbem-28216	101	19	'	'	NUM
fbem-28216	101	20	,	,	PUNCT
fbem-28216	101	21	label='true	label='true	ADJ
fbem-28216	101	22	'	'	NUM
fbem-28216	101	23	)	)	PUNCT
fbem-28216	101	24	ax.plot(y_pred_gn_custom	ax.plot(y_pred_gn_custom	NOUN
fbem-28216	101	25	,	,	PUNCT
fbem-28216	101	26	'	'	PUNCT
fbem-28216	101	27	b-	b-	X
fbem-28216	101	28	'	'	PUNCT
fbem-28216	101	29	,	,	PUNCT
fbem-28216	101	30	label='pred	label='pre	VERB
fbem-28216	101	31	'	'	PUNCT
fbem-28216	101	32	)	)	PUNCT
fbem-28216	102	1	ax.set_title('true	ax.set_title('true	PROPN
fbem-28216	102	2	vs	vs	ADP
fbem-28216	102	3	pred	pred	PROPN
fbem-28216	102	4	'	'	PUNCT
fbem-28216	102	5	)	)	PUNCT
fbem-28216	102	6	ax.set_xlabel('datetime	ax.set_xlabel('datetime	NOUN
fbem-28216	102	7	'	'	PUNCT
fbem-28216	102	8	)	)	PUNCT
fbem-28216	103	1	ax.set_ylabel('close	ax.set_ylabel('close	ADP
fbem-28216	103	2	price	price	NOUN
fbem-28216	103	3	'	'	PUNCT
fbem-28216	103	4	)	)	PUNCT
fbem-28216	104	1	ax.legend(loc='best	ax.legend(loc='b	ADJ
fbem-28216	104	2	'	'	PUNCT
fbem-28216	104	3	)	)	PUNCT
fbem-28216	104	4	fig.tight_layout	fig.tight_layout	NUM
fbem-28216	104	5	(	(	PUNCT
fbem-28216	104	6	)	)	PUNCT
fbem-28216	104	7	28	28	NUM
fbem-28216	104	8	figure	figure	NOUN
fbem-28216	104	9	1	1	NUM
fbem-28216	104	10	.	.	PUNCT
fbem-28216	105	1	plot	plot	NOUN
fbem-28216	105	2	for	for	ADP
fbem-28216	105	3	logarithmic	logarithmic	ADJ
fbem-28216	105	4	model	model	NOUN
fbem-28216	105	5	(	(	PUNCT
fbem-28216	105	6	2	2	NUM
fbem-28216	105	7	)	)	PUNCT
fbem-28216	105	8	exponential	exponential	ADJ
fbem-28216	105	9	model	model	NOUN
fbem-28216	105	10	the	the	DET
fbem-28216	105	11	code	code	NOUN
fbem-28216	105	12	for	for	ADP
fbem-28216	105	13	plotting	plot	VERB
fbem-28216	105	14	is	be	AUX
fbem-28216	105	15	consistent	consistent	ADJ
fbem-28216	105	16	with	with	ADP
fbem-28216	105	17	the	the	DET
fbem-28216	105	18	plotting	plot	VERB
fbem-28216	105	19	code	code	NOUN
fbem-28216	105	20	for	for	ADP
fbem-28216	105	21	the	the	DET
fbem-28216	105	22	logarithmic	logarithmic	ADJ
fbem-28216	105	23	model	model	NOUN
fbem-28216	105	24	.	.	PUNCT
fbem-28216	106	1	figure	figure	NOUN
fbem-28216	106	2	2	2	NUM
fbem-28216	106	3	.	.	PUNCT
fbem-28216	106	4	plot	plot	NOUN
fbem-28216	106	5	for	for	ADP
fbem-28216	106	6	exponential	exponential	ADJ
fbem-28216	106	7	model	model	NOUN
fbem-28216	106	8	(	(	PUNCT
fbem-28216	106	9	3	3	NUM
fbem-28216	106	10	)	)	PUNCT
fbem-28216	106	11	power	power	NOUN
fbem-28216	106	12	function	function	NOUN
fbem-28216	106	13	model	model	NOUN
fbem-28216	106	14	the	the	DET
fbem-28216	106	15	code	code	NOUN
fbem-28216	106	16	for	for	ADP
fbem-28216	106	17	plotting	plot	VERB
fbem-28216	106	18	is	be	AUX
fbem-28216	106	19	consistent	consistent	ADJ
fbem-28216	106	20	with	with	ADP
fbem-28216	106	21	the	the	DET
fbem-28216	106	22	plotting	plot	VERB
fbem-28216	106	23	code	code	NOUN
fbem-28216	106	24	for	for	ADP
fbem-28216	106	25	the	the	DET
fbem-28216	106	26	logarithmic	logarithmic	ADJ
fbem-28216	106	27	model	model	NOUN
fbem-28216	106	28	.	.	PUNCT
fbem-28216	107	1	figure	figure	VERB
fbem-28216	107	2	3	3	NUM
fbem-28216	107	3	.	.	PUNCT
fbem-28216	107	4	plot	plot	NOUN
fbem-28216	107	5	for	for	ADP
fbem-28216	107	6	power	power	NOUN
fbem-28216	107	7	function	function	NOUN
fbem-28216	107	8	model	model	NOUN
fbem-28216	107	9	29	29	NUM
fbem-28216	107	10	5	5	NUM
fbem-28216	107	11	.	.	PUNCT
fbem-28216	107	12	research	research	NOUN
fbem-28216	107	13	results	result	NOUN
fbem-28216	107	14	and	and	CCONJ
fbem-28216	107	15	summary	summary	VERB
fbem-28216	107	16	this	this	DET
fbem-28216	107	17	work	work	NOUN
fbem-28216	107	18	proposes	propose	VERB
fbem-28216	107	19	a	a	DET
fbem-28216	107	20	non	non	ADJ
fbem-28216	107	21	-	-	ADJ
fbem-28216	107	22	linear	linear	ADJ
fbem-28216	107	23	model	model	NOUN
fbem-28216	107	24	for	for	ADP
fbem-28216	107	25	predicting	predict	VERB
fbem-28216	107	26	future	future	ADJ
fbem-28216	107	27	stock	stock	NOUN
fbem-28216	107	28	closing	closing	NOUN
fbem-28216	107	29	prices	price	NOUN
fbem-28216	107	30	based	base	VERB
fbem-28216	107	31	on	on	ADP
fbem-28216	107	32	historical	historical	ADJ
fbem-28216	107	33	stock	stock	NOUN
fbem-28216	107	34	data	datum	NOUN
fbem-28216	107	35	,	,	PUNCT
fbem-28216	107	36	including	include	VERB
fbem-28216	107	37	opening	opening	NOUN
fbem-28216	107	38	price	price	NOUN
fbem-28216	107	39	,	,	PUNCT
fbem-28216	107	40	closing	closing	NOUN
fbem-28216	107	41	price	price	NOUN
fbem-28216	107	42	,	,	PUNCT
fbem-28216	107	43	highest	high	ADJ
fbem-28216	107	44	price	price	NOUN
fbem-28216	107	45	,	,	PUNCT
fbem-28216	107	46	lowest	low	ADJ
fbem-28216	107	47	price	price	NOUN
fbem-28216	107	48	,	,	PUNCT
fbem-28216	107	49	and	and	CCONJ
fbem-28216	107	50	trading	trading	NOUN
fbem-28216	107	51	volume	volume	NOUN
fbem-28216	107	52	.	.	PUNCT
fbem-28216	108	1	running	run	VERB
fbem-28216	108	2	the	the	DET
fbem-28216	108	3	code	code	NOUN
fbem-28216	108	4	yields	yield	NOUN
fbem-28216	108	5	a	a	DET
fbem-28216	108	6	mean	mean	NOUN
fbem-28216	108	7	squared	square	VERB
fbem-28216	108	8	error	error	NOUN
fbem-28216	108	9	(	(	PUNCT
fbem-28216	108	10	mse	mse	NOUN
fbem-28216	108	11	)	)	PUNCT
fbem-28216	108	12	of	of	ADP
fbem-28216	108	13	3.033	3.033	NUM
fbem-28216	108	14	for	for	ADP
fbem-28216	108	15	the	the	DET
fbem-28216	108	16	logarithmic	logarithmic	ADJ
fbem-28216	108	17	model	model	NOUN
fbem-28216	108	18	,	,	PUNCT
fbem-28216	108	19	11.105	11.105	NUM
fbem-28216	108	20	for	for	ADP
fbem-28216	108	21	the	the	DET
fbem-28216	108	22	exponential	exponential	ADJ
fbem-28216	108	23	model	model	NOUN
fbem-28216	108	24	,	,	PUNCT
fbem-28216	108	25	and	and	CCONJ
fbem-28216	108	26	1.020	1.020	NUM
fbem-28216	108	27	for	for	ADP
fbem-28216	108	28	the	the	DET
fbem-28216	108	29	power	power	NOUN
fbem-28216	108	30	function	function	NOUN
fbem-28216	108	31	model	model	NOUN
fbem-28216	108	32	.	.	PUNCT
fbem-28216	109	1	it	it	PRON
fbem-28216	109	2	is	be	AUX
fbem-28216	109	3	evident	evident	ADJ
fbem-28216	109	4	that	that	SCONJ
fbem-28216	109	5	the	the	DET
fbem-28216	109	6	power	power	NOUN
fbem-28216	109	7	function	function	NOUN
fbem-28216	109	8	model	model	NOUN
fbem-28216	109	9	has	have	VERB
fbem-28216	109	10	the	the	DET
fbem-28216	109	11	smallest	small	ADJ
fbem-28216	109	12	mse	mse	NOUN
fbem-28216	109	13	,	,	PUNCT
fbem-28216	109	14	indicating	indicate	VERB
fbem-28216	109	15	the	the	DET
fbem-28216	109	16	most	most	ADV
fbem-28216	109	17	accurate	accurate	ADJ
fbem-28216	109	18	prediction	prediction	NOUN
fbem-28216	109	19	.	.	PUNCT
fbem-28216	110	1	investors	investor	NOUN
fbem-28216	110	2	can	can	AUX
fbem-28216	110	3	construct	construct	VERB
fbem-28216	110	4	the	the	DET
fbem-28216	110	5	power	power	NOUN
fbem-28216	110	6	function	function	NOUN
fbem-28216	110	7	model	model	NOUN
fbem-28216	110	8	and	and	CCONJ
fbem-28216	110	9	estimate	estimate	VERB
fbem-28216	110	10	parameters	parameter	NOUN
fbem-28216	110	11	using	use	VERB
fbem-28216	110	12	the	the	DET
fbem-28216	110	13	gauss	gauss	PROPN
fbem-28216	110	14	-	-	PUNCT
fbem-28216	110	15	newton	newton	PROPN
fbem-28216	110	16	method	method	NOUN
fbem-28216	110	17	to	to	PART
fbem-28216	110	18	forecast	forecast	VERB
fbem-28216	110	19	future	future	ADJ
fbem-28216	110	20	stock	stock	NOUN
fbem-28216	110	21	prices	price	NOUN
fbem-28216	110	22	,	,	PUNCT
fbem-28216	110	23	thereby	thereby	ADV
fbem-28216	110	24	formulating	formulate	VERB
fbem-28216	110	25	rational	rational	ADJ
fbem-28216	110	26	investment	investment	NOUN
fbem-28216	110	27	strategies	strategy	NOUN
fbem-28216	110	28	.	.	PUNCT
fbem-28216	111	1	in	in	ADP
fbem-28216	111	2	future	future	ADJ
fbem-28216	111	3	research	research	NOUN
fbem-28216	111	4	,	,	PUNCT
fbem-28216	111	5	the	the	DET
fbem-28216	111	6	model	model	NOUN
fbem-28216	111	7	can	can	AUX
fbem-28216	111	8	also	also	ADV
fbem-28216	111	9	be	be	AUX
fbem-28216	111	10	applied	apply	VERB
fbem-28216	111	11	to	to	ADP
fbem-28216	111	12	actual	actual	ADJ
fbem-28216	111	13	stock	stock	NOUN
fbem-28216	111	14	market	market	NOUN
fbem-28216	111	15	data	datum	NOUN
fbem-28216	111	16	to	to	PART
fbem-28216	111	17	test	test	VERB
fbem-28216	111	18	its	its	PRON
fbem-28216	111	19	performance	performance	NOUN
fbem-28216	111	20	under	under	ADP
fbem-28216	111	21	various	various	ADJ
fbem-28216	111	22	market	market	NOUN
fbem-28216	111	23	conditions	condition	NOUN
fbem-28216	111	24	.	.	PUNCT
fbem-28216	112	1	references	reference	NOUN
fbem-28216	112	2	[	[	X
fbem-28216	112	3	1	1	NUM
fbem-28216	112	4	]	]	X
fbem-28216	112	5	brock	brock	PROPN
fbem-28216	112	6	,	,	PUNCT
fbem-28216	112	7	william	william	PROPN
fbem-28216	112	8	,	,	PUNCT
fbem-28216	112	9	josef	josef	PROPN
fbem-28216	112	10	lakonishok	lakonishok	PROPN
fbem-28216	112	11	,	,	PUNCT
fbem-28216	112	12	and	and	CCONJ
fbem-28216	112	13	blake	blake	PROPN
fbem-28216	112	14	lebaron	lebaron	PROPN
fbem-28216	112	15	.	.	PUNCT
fbem-28216	113	1	(	(	PUNCT
fbem-28216	113	2	1992	1992	NUM
fbem-28216	113	3	)	)	PUNCT
fbem-28216	113	4	.	.	PUNCT
fbem-28216	114	1	“	"	PUNCT
fbem-28216	114	2	simple	simple	ADJ
fbem-28216	114	3	technical	technical	ADJ
fbem-28216	114	4	trading	trading	NOUN
fbem-28216	114	5	rules	rule	NOUN
fbem-28216	114	6	and	and	CCONJ
fbem-28216	114	7	the	the	DET
fbem-28216	114	8	stochastic	stochastic	ADJ
fbem-28216	114	9	properties	property	NOUN
fbem-28216	114	10	of	of	ADP
fbem-28216	114	11	stock	stock	NOUN
fbem-28216	114	12	returns	return	NOUN
fbem-28216	114	13	”	"	PUNCT
fbem-28216	114	14	.	.	PUNCT
fbem-28216	115	1	journal	journal	PROPN
fbem-28216	115	2	of	of	ADP
fbem-28216	115	3	finance	finance	NOUN
fbem-28216	115	4	,	,	PUNCT
fbem-28216	115	5	47(5	47(5	NOUN
fbem-28216	115	6	)	)	PUNCT
fbem-28216	115	7	,	,	PUNCT
fbem-28216	115	8	1731	1731	NUM
fbem-28216	115	9	-	-	SYM
fbem-28216	115	10	1764	1764	NUM
fbem-28216	115	11	.	.	PUNCT
fbem-28216	116	1	[	[	X
fbem-28216	116	2	2	2	NUM
fbem-28216	116	3	]	]	PUNCT
fbem-28216	116	4	fama	fama	PROPN
fbem-28216	116	5	,	,	PUNCT
fbem-28216	116	6	eugene	eugene	PROPN
fbem-28216	116	7	f.	f.	PROPN
fbem-28216	116	8	,	,	PUNCT
fbem-28216	116	9	and	and	CCONJ
fbem-28216	116	10	kenneth	kenneth	PROPN
fbem-28216	116	11	r.	r.	PROPN
fbem-28216	116	12	french	french	PROPN
fbem-28216	116	13	.	.	PUNCT
fbem-28216	117	1	(	(	PUNCT
fbem-28216	117	2	1988	1988	NUM
fbem-28216	117	3	)	)	PUNCT
fbem-28216	117	4	.	.	PUNCT
fbem-28216	118	1	“	"	PUNCT
fbem-28216	118	2	dividend	dividend	NOUN
fbem-28216	118	3	yields	yield	NOUN
fbem-28216	118	4	and	and	CCONJ
fbem-28216	118	5	expected	expect	VERB
fbem-28216	118	6	stock	stock	NOUN
fbem-28216	118	7	returns	return	NOUN
fbem-28216	118	8	”	"	PUNCT
fbem-28216	118	9	.	.	PUNCT
fbem-28216	119	1	journal	journal	PROPN
fbem-28216	119	2	of	of	ADP
fbem-28216	119	3	financial	financial	ADJ
fbem-28216	119	4	economics	economic	NOUN
fbem-28216	119	5	,	,	PUNCT
fbem-28216	119	6	22(3	22(3	NUM
fbem-28216	119	7	)	)	PUNCT
fbem-28216	119	8	,	,	PUNCT
fbem-28216	119	9	3	3	NUM
fbem-28216	119	10	-	-	SYM
fbem-28216	119	11	25	25	NUM
fbem-28216	119	12	.	.	PUNCT
fbem-28216	120	1	[	[	X
fbem-28216	120	2	3	3	X
fbem-28216	120	3	]	]	X
fbem-28216	120	4	ma	ma	PROPN
fbem-28216	120	5	jingjing	jingjing	PROPN
fbem-28216	120	6	.	.	PUNCT
fbem-28216	121	1	(	(	PUNCT
fbem-28216	121	2	2024	2024	NUM
fbem-28216	121	3	)	)	PUNCT
fbem-28216	121	4	.	.	PUNCT
fbem-28216	122	1	“	"	PUNCT
fbem-28216	122	2	regression	regression	NOUN
fbem-28216	122	3	and	and	CCONJ
fbem-28216	122	4	classification	classification	NOUN
fbem-28216	122	5	in	in	ADP
fbem-28216	122	6	stock	stock	NOUN
fbem-28216	122	7	price	price	NOUN
fbem-28216	122	8	trend	trend	NOUN
fbem-28216	122	9	forecasting	forecasting	NOUN
fbem-28216	122	10	”	"	PUNCT
fbem-28216	122	11	.	.	PUNCT
fbem-28216	123	1	computer	computer	NOUN
fbem-28216	123	2	knowledge	knowledge	NOUN
fbem-28216	123	3	and	and	CCONJ
fbem-28216	123	4	technology	technology	NOUN
fbem-28216	123	5	,	,	PUNCT
fbem-28216	123	6	20(12	20(12	NUM
fbem-28216	123	7	)	)	PUNCT
fbem-28216	123	8	,	,	PUNCT
fbem-28216	123	9	1009	1009	NUM
fbem-28216	123	10	-	-	SYM
fbem-28216	123	11	3044	3044	NUM
fbem-28216	123	12	.	.	PUNCT
fbem-28216	124	1	[	[	X
fbem-28216	124	2	4	4	NUM
fbem-28216	124	3	]	]	X
fbem-28216	124	4	guo	guo	PROPN
fbem-28216	124	5	huiting	huiting	NOUN
fbem-28216	124	6	,	,	PUNCT
fbem-28216	124	7	chang	chang	PROPN
fbem-28216	124	8	yanzhen	yanzhen	PROPN
fbem-28216	124	9	,	,	PUNCT
fbem-28216	124	10	li	li	PROPN
fbem-28216	124	11	liang	liang	PROPN
fbem-28216	124	12	,	,	PUNCT
fbem-28216	124	13	xu	xu	PROPN
fbem-28216	124	14	yongli	yongli	PROPN
fbem-28216	124	15	.	.	PUNCT
fbem-28216	125	1	(	(	PUNCT
fbem-28216	125	2	2024	2024	NUM
fbem-28216	125	3	)	)	PUNCT
fbem-28216	125	4	.	.	PUNCT
fbem-28216	126	1	“	"	PUNCT
fbem-28216	126	2	stock	stock	NOUN
fbem-28216	126	3	price	price	NOUN
fbem-28216	126	4	prediction	prediction	NOUN
fbem-28216	126	5	based	base	VERB
fbem-28216	126	6	on	on	ADP
fbem-28216	126	7	integrated	integrate	VERB
fbem-28216	126	8	deep	deep	ADJ
fbem-28216	126	9	learning	learning	NOUN
fbem-28216	126	10	”	"	PUNCT
fbem-28216	126	11	.	.	PUNCT
fbem-28216	127	1	modern	modern	ADJ
fbem-28216	127	2	information	information	NOUN
fbem-28216	127	3	technology	technology	NOUN
fbem-28216	127	4	,	,	PUNCT
fbem-28216	127	5	8(9	8(9	NUM
fbem-28216	127	6	)	)	PUNCT
fbem-28216	127	7	,	,	PUNCT
fbem-28216	127	8	2096	2096	NUM
fbem-28216	127	9	-	-	SYM
fbem-28216	127	10	4706	4706	NUM
fbem-28216	127	11	.	.	PUNCT
fbem-28216	128	1	[	[	X
fbem-28216	128	2	5	5	NUM
fbem-28216	128	3	]	]	X
fbem-28216	128	4	wu	wu	PROPN
fbem-28216	128	5	ling	ling	PROPN
fbem-28216	128	6	,	,	PUNCT
fbem-28216	128	7	liu	liu	PROPN
fbem-28216	128	8	zhong	zhong	PROPN
fbem-28216	128	9	,	,	PUNCT
fbem-28216	128	10	lu	lu	PROPN
fbem-28216	128	11	faxing	faxing	NOUN
fbem-28216	128	12	.	.	PUNCT
fbem-28216	129	1	(	(	PUNCT
fbem-28216	129	2	2003	2003	NUM
fbem-28216	129	3	)	)	PUNCT
fbem-28216	129	4	.	.	PUNCT
fbem-28216	130	1	“	"	PUNCT
fbem-28216	130	2	global	global	ADJ
fbem-28216	130	3	convergence	convergence	NOUN
fbem-28216	130	4	gauss	gauss	PROPN
fbem-28216	130	5	-	-	PUNCT
fbem-28216	130	6	newton	newton	PROPN
fbem-28216	130	7	method	method	NOUN
fbem-28216	130	8	applied	apply	VERB
fbem-28216	130	9	to	to	ADP
fbem-28216	130	10	nonlinear	nonlinear	ADJ
fbem-28216	130	11	least	least	ADJ
fbem-28216	130	12	square	square	ADJ
fbem-28216	130	13	estimation	estimation	NOUN
fbem-28216	130	14	in	in	ADP
fbem-28216	130	15	target	target	NOUN
fbem-28216	130	16	location	location	NOUN
fbem-28216	130	17	”	"	PUNCT
fbem-28216	130	18	.	.	PUNCT
fbem-28216	131	1	fire	fire	PROPN
fbem-28216	131	2	control	control	PROPN
fbem-28216	131	3	radar	radar	NOUN
fbem-28216	131	4	technology	technology	NOUN
fbem-28216	131	5	,	,	PUNCT
fbem-28216	131	6	32	32	NUM
fbem-28216	131	7	,	,	PUNCT
fbem-28216	131	8	1008	1008	NUM
fbem-28216	131	9	-	-	SYM
fbem-28216	131	10	8652	8652	NUM
fbem-28216	131	11	.	.	PUNCT