id	sid	tid	token	lemma	pos
iajs-968	1	1	ibn	ibn	PROPN
iajs-968	1	2	alhaitham	alhaitham	NOUN
iajs-968	1	3	j.	j.	PROPN
iajs-968	2	1	fo	fo	ADP
iajs-968	2	2	r	r	NOUN
iajs-968	2	3	pure	pure	ADJ
iajs-968	2	4	&	&	CCONJ
iajs-968	2	5	appl	appl	PROPN
iajs-968	2	6	.	.	PUNCT
iajs-968	3	1	sc	sc	PROPN
iajs-968	3	2	i.	i.	PROPN
iajs-968	3	3	vo	vo	PROPN
iajs-968	3	4	l.23	l.23	PROPN
iajs-968	3	5	(	(	PUNCT
iajs-968	3	6	2	2	NUM
iajs-968	3	7	)	)	PUNCT
iajs-968	3	8	2010	2010	NUM
iajs-968	3	9	on	on	ADP
iajs-968	3	10	comparison	comparison	NOUN
iajs-968	3	11	between	between	ADP
iajs-968	3	12	radial	radial	ADJ
iajs-968	3	13	basis	basis	NOUN
iajs-968	3	14	function	function	NOUN
iajs-968	3	15	and	and	CCONJ
iajs-968	3	16	wavelet	wavelet	NOUN
iajs-968	3	17	basis	basis	NOUN
iajs-968	3	18	functions	function	NOUN
iajs-968	3	19	neural	neural	ADJ
iajs-968	3	20	networks	network	NOUN
iajs-968	3	21	l.n.m.tawfiq	l.n.m.tawfiq	PROPN
iajs-968	3	22	,	,	PUNCT
iajs-968	3	23	t.a	t.a	PROPN
iajs-968	3	24	.	.	PROPN
iajs-968	3	25	m.rashid	m.rashid	PROPN
iajs-968	3	26	department	department	PROPN
iajs-968	3	27	of	of	ADP
iajs-968	3	28	mathematics	mathematics	PROPN
iajs-968	3	29	,	,	PUNCT
iajs-968	3	30	college	college	NOUN
iajs-968	3	31	of	of	ADP
iajs-968	3	32	education	education	PROPN
iajs-968	3	33	ibn	ibn	PROPN
iajs-968	3	34	al	al	PROPN
iajs-968	3	35	-	-	PUNCT
iajs-968	3	36	haitham	haitham	PROPN
iajs-968	3	37	,	,	PUNCT
iajs-968	3	38	universityof	universityof	PROPN
iajs-968	3	39	baghdad	baghdad	PROPN
iajs-968	3	40	abstract	abstract	NOUN
iajs-968	3	41	in	in	ADP
iajs-968	3	42	this	this	DET
iajs-968	3	43	paper	paper	NOUN
iajs-968	3	44	we	we	PRON
iajs-968	3	45	study	study	VERB
iajs-968	3	46	and	and	CCONJ
iajs-968	3	47	design	design	VERB
iajs-968	3	48	two	two	NUM
iajs-968	3	49	feed	feed	NOUN
iajs-968	3	50	forward	forward	ADV
iajs-968	3	51	neural	neural	ADJ
iajs-968	3	52	networks	network	NOUN
iajs-968	3	53	.	.	PUNCT
iajs-968	4	1	the	the	DET
iajs-968	4	2	first	first	ADJ
iajs-968	4	3	approach	approach	NOUN
iajs-968	4	4	uses	use	VERB
iajs-968	4	5	radial	radial	ADJ
iajs-968	4	6	basis	basis	NOUN
iajs-968	4	7	function	function	NOUN
iajs-968	4	8	network	network	NOUN
iajs-968	4	9	and	and	CCONJ
iajs-968	4	10	second	second	ADJ
iajs-968	4	11	approach	approach	NOUN
iajs-968	4	12	uses	use	VERB
iajs-968	4	13	wavelet	wavelet	NOUN
iajs-968	4	14	basis	basis	NOUN
iajs-968	4	15	function	function	NOUN
iajs-968	4	16	network	network	NOUN
iajs-968	4	17	to	to	PART
iajs-968	4	18	approximate	approximate	VERB
iajs-968	4	19	the	the	DET
iajs-968	4	20	mapping	mapping	NOUN
iajs-968	4	21	from	from	ADP
iajs-968	4	22	the	the	DET
iajs-968	4	23	input	input	NOUN
iajs-968	4	24	to	to	ADP
iajs-968	4	25	the	the	DET
iajs-968	4	26	output	output	NOUN
iajs-968	4	27	space	space	NOUN
iajs-968	4	28	.	.	PUNCT
iajs-968	5	1	the	the	DET
iajs-968	5	2	trained	train	VERB
iajs-968	5	3	networks	network	NOUN
iajs-968	5	4	are	be	AUX
iajs-968	5	5	then	then	ADV
iajs-968	5	6	used	use	VERB
iajs-968	5	7	in	in	ADP
iajs-968	5	8	an	an	DET
iajs-968	5	9	conjugate	conjugate	ADJ
iajs-968	5	10	gradient	gradient	ADJ
iajs-968	5	11	algorithm	algorithm	NOUN
iajs-968	5	12	to	to	PART
iajs-968	5	13	estimate	estimate	VERB
iajs-968	5	14	the	the	DET
iajs-968	5	15	output	output	NOUN
iajs-968	5	16	.	.	PUNCT
iajs-968	6	1	these	these	DET
iajs-968	6	2	neural	neural	ADJ
iajs-968	6	3	networks	network	NOUN
iajs-968	6	4	are	be	AUX
iajs-968	6	5	then	then	ADV
iajs-968	6	6	applied	apply	VERB
iajs-968	6	7	to	to	PART
iajs-968	6	8	solve	solve	VERB
iajs-968	6	9	differential	differential	ADJ
iajs-968	6	10	equation	equation	NOUN
iajs-968	6	11	.	.	PUNCT
iajs-968	7	1	results	result	NOUN
iajs-968	7	2	of	of	ADP
iajs-968	7	3	applying	apply	VERB
iajs-968	7	4	these	these	DET
iajs-968	7	5	algorithms	algorithm	NOUN
iajs-968	7	6	to	to	ADP
iajs-968	7	7	several	several	ADJ
iajs-968	7	8	examples	example	NOUN
iajs-968	7	9	are	be	AUX
iajs-968	7	10	presented	present	VERB
iajs-968	7	11	.	.	PUNCT
iajs-968	8	1	1	1	X
iajs-968	8	2	.	.	X
iajs-968	8	3	introduction	introduction	NOUN
iajs-968	8	4	neural	neural	ADJ
iajs-968	8	5	networks	network	NOUN
iajs-968	8	6	are	be	AUX
iajs-968	8	7	connectionist	connectionist	NOUN
iajs-968	8	8	models	model	NOUN
iajs-968	8	9	proposed	propose	VERB
iajs-968	8	10	in	in	ADP
iajs-968	8	11	an	an	DET
iajs-968	8	12	attempt	attempt	NOUN
iajs-968	8	13	to	to	PART
iajs-968	8	14	mimic	mimic	VERB
iajs-968	8	15	the	the	DET
iajs-968	8	16	function	function	NOUN
iajs-968	8	17	of	of	ADP
iajs-968	8	18	the	the	DET
iajs-968	8	19	human	human	ADJ
iajs-968	8	20	brain	brain	NOUN
iajs-968	8	21	.	.	PUNCT
iajs-968	9	1	a	a	DET
iajs-968	9	2	neural	neural	ADJ
iajs-968	9	3	network	network	NOUN
iajs-968	9	4	(	(	PUNCT
iajs-968	9	5	ann	ann	PROPN
iajs-968	9	6	)	)	PUNCT
iajs-968	9	7	consists	consist	VERB
iajs-968	9	8	of	of	ADP
iajs-968	9	9	a	a	DET
iajs-968	9	10	large	large	ADJ
iajs-968	9	11	number	number	NOUN
iajs-968	9	12	of	of	ADP
iajs-968	9	13	simple	simple	ADJ
iajs-968	9	14	processing	processing	NOUN
iajs-968	9	15	elements	element	NOUN
iajs-968	9	16	called	call	VERB
iajs-968	9	17	neurons	neuron	NOUN
iajs-968	9	18	(	(	PUNCT
iajs-968	9	19	or	or	CCONJ
iajs-968	9	20	nodes	node	NOUN
iajs-968	9	21	)	)	PUNCT
iajs-968	10	1	[	[	X
iajs-968	10	2	1	1	NUM
iajs-968	10	3	]	]	PUNCT
iajs-968	10	4	,	,	PUNCT
iajs-968	10	5	[	[	X
iajs-968	10	6	2	2	NUM
iajs-968	10	7	]	]	PUNCT
iajs-968	10	8	.	.	PUNCT
iajs-968	11	1	neurons	neuron	NOUN
iajs-968	11	2	implement	implement	VERB
iajs-968	11	3	simple	simple	ADJ
iajs-968	11	4	functions	function	NOUN
iajs-968	11	5	and	and	CCONJ
iajs-968	11	6	are	be	AUX
iajs-968	11	7	massively	massively	ADV
iajs-968	11	8	interconnected	interconnect	VERB
iajs-968	11	9	by	by	ADP
iajs-968	11	10	means	mean	NOUN
iajs-968	11	11	of	of	ADP
iajs-968	11	12	weighted	weight	VERB
iajs-968	11	13	interconnections	interconnection	NOUN
iajs-968	11	14	.	.	PUNCT
iajs-968	12	1	these	these	DET
iajs-968	12	2	weights	weight	NOUN
iajs-968	12	3	,	,	PUNCT
iajs-968	12	4	determined	determine	VERB
iajs-968	12	5	by	by	ADP
iajs-968	12	6	means	mean	NOUN
iajs-968	12	7	of	of	ADP
iajs-968	12	8	a	a	DET
iajs-968	12	9	training	training	NOUN
iajs-968	12	10	process	process	NOUN
iajs-968	12	11	,	,	PUNCT
iajs-968	12	12	determine	determine	VERB
iajs-968	12	13	the	the	DET
iajs-968	12	14	functionality	functionality	NOUN
iajs-968	12	15	of	of	ADP
iajs-968	12	16	the	the	DET
iajs-968	12	17	neural	neural	ADJ
iajs-968	12	18	network	network	NOUN
iajs-968	12	19	.	.	PUNCT
iajs-968	13	1	the	the	DET
iajs-968	13	2	training	training	NOUN
iajs-968	13	3	process	process	NOUN
iajs-968	13	4	uses	use	VERB
iajs-968	13	5	a	a	DET
iajs-968	13	6	training	training	NOUN
iajs-968	13	7	database	database	NOUN
iajs-968	13	8	to	to	PART
iajs-968	13	9	determine	determine	VERB
iajs-968	13	10	the	the	DET
iajs-968	13	11	network	network	NOUN
iajs-968	13	12	parameters	parameter	NOUN
iajs-968	13	13	(	(	PUNCT
iajs-968	13	14	weights	weight	NOUN
iajs-968	13	15	)	)	PUNCT
iajs-968	13	16	.	.	PUNCT
iajs-968	14	1	the	the	DET
iajs-968	14	2	functionality	functionality	NOUN
iajs-968	14	3	of	of	ADP
iajs-968	14	4	the	the	DET
iajs-968	14	5	neural	neural	ADJ
iajs-968	14	6	network	network	NOUN
iajs-968	14	7	is	be	AUX
iajs-968	14	8	also	also	ADV
iajs-968	14	9	determined	determine	VERB
iajs-968	14	10	by	by	ADP
iajs-968	14	11	its	its	PRON
iajs-968	14	12	topology	topology	NOUN
iajs-968	14	13	.	.	PUNCT
iajs-968	15	1	most	most	ADJ
iajs-968	15	2	networks	network	NOUN
iajs-968	15	3	have	have	VERB
iajs-968	15	4	a	a	DET
iajs-968	15	5	large	large	ADJ
iajs-968	15	6	number	number	NOUN
iajs-968	15	7	of	of	ADP
iajs-968	15	8	neurons	neuron	NOUN
iajs-968	15	9	,	,	PUNCT
iajs-968	15	10	with	with	SCONJ
iajs-968	15	11	the	the	DET
iajs-968	15	12	neurons	neuron	NOUN
iajs-968	15	13	arranged	arrange	VERB
iajs-968	15	14	in	in	ADP
iajs-968	15	15	layers	layer	NOUN
iajs-968	15	16	.	.	PUNCT
iajs-968	16	1	in	in	ADP
iajs-968	16	2	addition	addition	NOUN
iajs-968	16	3	to	to	ADP
iajs-968	16	4	input	input	NOUN
iajs-968	16	5	and	and	CCONJ
iajs-968	16	6	output	output	NOUN
iajs-968	16	7	layers	layer	NOUN
iajs-968	16	8	,	,	PUNCT
iajs-968	16	9	there	there	PRON
iajs-968	16	10	are	be	VERB
iajs-968	16	11	usually	usually	ADV
iajs-968	16	12	layers	layer	NOUN
iajs-968	16	13	of	of	ADP
iajs-968	16	14	neurons	neuron	NOUN
iajs-968	16	15	that	that	PRON
iajs-968	16	16	are	be	AUX
iajs-968	16	17	not	not	PART
iajs-968	16	18	directly	directly	ADV
iajs-968	16	19	connected	connect	VERB
iajs-968	16	20	to	to	ADP
iajs-968	16	21	either	either	CCONJ
iajs-968	16	22	the	the	DET
iajs-968	16	23	input	input	NOUN
iajs-968	16	24	or	or	CCONJ
iajs-968	16	25	the	the	DET
iajs-968	16	26	output	output	NOUN
iajs-968	16	27	,	,	PUNCT
iajs-968	16	28	called	call	VERB
iajs-968	16	29	hidden	hidden	ADJ
iajs-968	16	30	layers	layer	NOUN
iajs-968	16	31	.	.	PUNCT
iajs-968	17	1	the	the	DET
iajs-968	17	2	corresponding	corresponding	ADJ
iajs-968	17	3	nodes	node	NOUN
iajs-968	17	4	are	be	AUX
iajs-968	17	5	referred	refer	VERB
iajs-968	17	6	to	to	ADP
iajs-968	17	7	as	as	ADP
iajs-968	17	8	hidden	hide	VERB
iajs-968	17	9	nodes	node	NOUN
iajs-968	17	10	.	.	PUNCT
iajs-968	18	1	hidden	hide	VERB
iajs-968	18	2	layers	layer	NOUN
iajs-968	18	3	give	give	VERB
iajs-968	18	4	the	the	DET
iajs-968	18	5	network	network	NOUN
iajs-968	18	6	the	the	DET
iajs-968	18	7	ability	ability	NOUN
iajs-968	18	8	to	to	PART
iajs-968	18	9	approximate	approximate	VERB
iajs-968	18	10	complex	complex	ADJ
iajs-968	18	11	,	,	PUNCT
iajs-968	18	12	nonlinear	nonlinear	ADJ
iajs-968	18	13	functions	function	NOUN
iajs-968	18	14	.	.	PUNCT
iajs-968	19	1	the	the	DET
iajs-968	19	2	advantages	advantage	NOUN
iajs-968	19	3	of	of	ADP
iajs-968	19	4	using	use	VERB
iajs-968	19	5	neural	neural	ADJ
iajs-968	19	6	networks	network	NOUN
iajs-968	19	7	are	be	AUX
iajs-968	19	8	numerous	numerous	ADJ
iajs-968	19	9	:	:	PUNCT
iajs-968	19	10	neural	neural	ADJ
iajs-968	19	11	networks	network	NOUN
iajs-968	19	12	are	be	AUX
iajs-968	19	13	learning	learn	VERB
iajs-968	19	14	machines	machine	NOUN
iajs-968	19	15	that	that	PRON
iajs-968	19	16	can	can	AUX
iajs-968	19	17	learn	learn	VERB
iajs-968	19	18	any	any	DET
iajs-968	19	19	arbitrary	arbitrary	ADJ
iajs-968	19	20	functional	functional	ADJ
iajs-968	19	21	mapping	mapping	NOUN
iajs-968	19	22	between	between	ADP
iajs-968	19	23	input	input	NOUN
iajs-968	19	24	and	and	CCONJ
iajs-968	19	25	output	output	NOUN
iajs-968	19	26	,	,	PUNCT
iajs-968	19	27	they	they	PRON
iajs-968	19	28	are	be	AUX
iajs-968	19	29	fast	fast	ADJ
iajs-968	19	30	machines	machine	NOUN
iajs-968	19	31	and	and	CCONJ
iajs-968	19	32	can	can	AUX
iajs-968	19	33	be	be	AUX
iajs-968	19	34	implemented	implement	VERB
iajs-968	19	35	in	in	ADP
iajs-968	19	36	parallel	parallel	NOUN
iajs-968	19	37	,	,	PUNCT
iajs-968	19	38	either	either	CCONJ
iajs-968	19	39	in	in	ADP
iajs-968	19	40	software	software	NOUN
iajs-968	19	41	or	or	CCONJ
iajs-968	19	42	in	in	ADP
iajs-968	19	43	hardware	hardware	NOUN
iajs-968	20	1	[	[	X
iajs-968	20	2	3	3	NUM
iajs-968	20	3	]	]	PUNCT
iajs-968	20	4	.	.	PUNCT
iajs-968	21	1	in	in	ADP
iajs-968	21	2	fact	fact	NOUN
iajs-968	21	3	,	,	PUNCT
iajs-968	21	4	the	the	DET
iajs-968	21	5	computational	computational	ADJ
iajs-968	21	6	complexity	complexity	NOUN
iajs-968	21	7	of	of	ADP
iajs-968	21	8	ann	ann	PROPN
iajs-968	21	9	's	's	PART
iajs-968	21	10	is	be	AUX
iajs-968	21	11	polynomial	polynomial	ADJ
iajs-968	21	12	in	in	ADP
iajs-968	21	13	the	the	DET
iajs-968	21	14	number	number	NOUN
iajs-968	21	15	of	of	ADP
iajs-968	21	16	neurons	neuron	NOUN
iajs-968	21	17	used	use	VERB
iajs-968	21	18	in	in	ADP
iajs-968	21	19	the	the	DET
iajs-968	21	20	network	network	NOUN
iajs-968	21	21	.	.	PUNCT
iajs-968	22	1	parallelism	parallelism	NOUN
iajs-968	22	2	also	also	ADV
iajs-968	22	3	brings	bring	VERB
iajs-968	22	4	with	with	ADP
iajs-968	22	5	it	it	PRON
iajs-968	22	6	the	the	DET
iajs-968	22	7	advantages	advantage	NOUN
iajs-968	22	8	of	of	ADP
iajs-968	22	9	robustness	robustness	NOUN
iajs-968	22	10	and	and	CCONJ
iajs-968	22	11	fault	fault	VERB
iajs-968	22	12	tolerance	tolerance	NOUN
iajs-968	22	13	.	.	PUNCT
iajs-968	23	1	efficient	efficient	ADJ
iajs-968	23	2	learning	learn	VERB
iajs-968	23	3	algorithms	algorithm	NOUN
iajs-968	23	4	ensure	ensure	VERB
iajs-968	23	5	that	that	SCONJ
iajs-968	23	6	the	the	DET
iajs-968	23	7	network	network	NOUN
iajs-968	23	8	can	can	AUX
iajs-968	23	9	learn	learn	VERB
iajs-968	23	10	mappings	mapping	NOUN
iajs-968	23	11	to	to	ADP
iajs-968	23	12	any	any	DET
iajs-968	23	13	arbitrary	arbitrary	ADJ
iajs-968	23	14	precision	precision	NOUN
iajs-968	23	15	in	in	ADP
iajs-968	23	16	a	a	DET
iajs-968	23	17	short	short	ADJ
iajs-968	23	18	amount	amount	NOUN
iajs-968	23	19	of	of	ADP
iajs-968	23	20	time	time	NOUN
iajs-968	23	21	.	.	PUNCT
iajs-968	24	1	furthermore	furthermore	ADV
iajs-968	24	2	,	,	PUNCT
iajs-968	24	3	the	the	DET
iajs-968	24	4	input	input	NOUN
iajs-968	24	5	-	-	PUNCT
iajs-968	24	6	output	output	NOUN
iajs-968	24	7	mapping	mapping	NOUN
iajs-968	24	8	is	be	AUX
iajs-968	24	9	explicitly	explicitly	ADV
iajs-968	24	10	known	know	VERB
iajs-968	24	11	in	in	ADP
iajs-968	24	12	a	a	DET
iajs-968	24	13	neural	neural	ADJ
iajs-968	24	14	network	network	NOUN
iajs-968	24	15	and	and	CCONJ
iajs-968	24	16	gradient	gradient	ADJ
iajs-968	24	17	descent	descent	NOUN
iajs-968	24	18	procedures	procedure	NOUN
iajs-968	24	19	can	can	AUX
iajs-968	24	20	be	be	AUX
iajs-968	24	21	used	use	VERB
iajs-968	24	22	advantageously	advantageously	ADV
iajs-968	24	23	to	to	PART
iajs-968	24	24	perform	perform	VERB
iajs-968	24	25	the	the	DET
iajs-968	24	26	inversion	inversion	NOUN
iajs-968	24	27	process	process	NOUN
iajs-968	24	28	.	.	PUNCT
iajs-968	25	1	2	2	X
iajs-968	25	2	.	.	X
iajs-968	25	3	radial	radial	ADJ
iajs-968	25	4	basis	basis	NOUN
iajs-968	25	5	function	function	NOUN
iajs-968	25	6	neural	neural	ADJ
iajs-968	25	7	networks	network	NOUN
iajs-968	25	8	radial	radial	ADJ
iajs-968	25	9	basis	basis	NOUN
iajs-968	25	10	function	function	NOUN
iajs-968	25	11	neural	neural	ADJ
iajs-968	25	12	networks	network	NOUN
iajs-968	25	13	(	(	PUNCT
iajs-968	25	14	rbfnn	rbfnn	PROPN
iajs-968	25	15	)	)	PUNCT
iajs-968	25	16	are	be	AUX
iajs-968	25	17	a	a	DET
iajs-968	25	18	class	class	NOUN
iajs-968	25	19	of	of	ADP
iajs-968	25	20	networks	network	NOUN
iajs-968	25	21	that	that	PRON
iajs-968	25	22	are	be	AUX
iajs-968	25	23	widely	widely	ADV
iajs-968	25	24	used	use	VERB
iajs-968	25	25	for	for	ADP
iajs-968	25	26	solving	solve	VERB
iajs-968	25	27	multivariate	multivariate	NOUN
iajs-968	25	28	function	function	NOUN
iajs-968	25	29	approximation	approximation	NOUN
iajs-968	25	30	problems	problem	NOUN
iajs-968	25	31	[	[	X
iajs-968	25	32	5],[4	5],[4	X
iajs-968	25	33	]	]	X
iajs-968	25	34	.	.	PUNCT
iajs-968	26	1	an	an	DET
iajs-968	26	2	rbfnn	rbfnn	NOUN
iajs-968	26	3	consists	consist	VERB
iajs-968	26	4	of	of	ADP
iajs-968	26	5	an	an	DET
iajs-968	26	6	input	input	NOUN
iajs-968	26	7	and	and	CCONJ
iajs-968	26	8	output	output	NOUN
iajs-968	26	9	layer	layer	NOUN
iajs-968	26	10	of	of	ADP
iajs-968	26	11	nodes	node	NOUN
iajs-968	26	12	and	and	CCONJ
iajs-968	26	13	a	a	DET
iajs-968	26	14	single	single	ADJ
iajs-968	26	15	hidden	hide	VERB
iajs-968	26	16	layer	layer	NOUN
iajs-968	26	17	.	.	PUNCT
iajs-968	27	1	each	each	DET
iajs-968	27	2	node	node	NOUN
iajs-968	27	3	in	in	ADP
iajs-968	27	4	the	the	DET
iajs-968	27	5	hidden	hide	VERB
iajs-968	27	6	layer	layer	NOUN
iajs-968	27	7	implements	implement	VERB
iajs-968	27	8	a	a	DET
iajs-968	27	9	basis	basis	NOUN
iajs-968	27	10	function	function	NOUN
iajs-968	27	11	and	and	CCONJ
iajs-968	27	12	the	the	DET
iajs-968	27	13	number	number	NOUN
iajs-968	27	14	of	of	ADP
iajs-968	27	15	hidden	hide	VERB
iajs-968	27	16	nodes	node	NOUN
iajs-968	27	17	is	be	AUX
iajs-968	27	18	equal	equal	ADJ
iajs-968	27	19	to	to	ADP
iajs-968	27	20	the	the	DET
iajs-968	27	21	number	number	NOUN
iajs-968	27	22	of	of	ADP
iajs-968	27	23	points	point	NOUN
iajs-968	27	24	in	in	ADP
iajs-968	27	25	the	the	DET
iajs-968	27	26	training	training	NOUN
iajs-968	27	27	database	database	NOUN
iajs-968	27	28	.	.	PUNCT
iajs-968	28	1	the	the	DET
iajs-968	28	2	rbfnn	rbfnn	NOUN
iajs-968	28	3	approximates	approximate	VERB
iajs-968	28	4	the	the	DET
iajs-968	28	5	unknown	unknown	ADJ
iajs-968	28	6	function	function	NOUN
iajs-968	28	7	that	that	PRON
iajs-968	28	8	maps	map	VERB
iajs-968	28	9	the	the	DET
iajs-968	28	10	input	input	NOUN
iajs-968	28	11	to	to	ADP
iajs-968	28	12	the	the	DET
iajs-968	28	13	output	output	NOUN
iajs-968	28	14	in	in	ADP
iajs-968	28	15	terms	term	NOUN
iajs-968	28	16	of	of	ADP
iajs-968	28	17	a	a	DET
iajs-968	28	18	basis	basis	NOUN
iajs-968	28	19	function	function	NOUN
iajs-968	28	20	expansion	expansion	NOUN
iajs-968	28	21	,	,	PUNCT
iajs-968	28	22	with	with	ADP
iajs-968	28	23	the	the	DET
iajs-968	28	24	functions	function	NOUN
iajs-968	28	25	,	,	PUNCT
iajs-968	28	26	g(x	g(x	NOUN
iajs-968	28	27	,	,	PUNCT
iajs-968	28	28	xi	xi	ADJ
iajs-968	28	29	)	)	PUNCT
iajs-968	28	30	as	as	ADP
iajs-968	28	31	the	the	DET
iajs-968	28	32	basis	basis	NOUN
iajs-968	28	33	functions	function	NOUN
iajs-968	28	34	.	.	PUNCT
iajs-968	29	1	the	the	DET
iajs-968	29	2	input	input	NOUN
iajs-968	29	3	-	-	PUNCT
iajs-968	29	4	output	output	NOUN
iajs-968	29	5	relation	relation	NOUN
iajs-968	29	6	for	for	ADP
iajs-968	29	7	the	the	DET
iajs-968	29	8	rbfnn	rbfnn	NOUN
iajs-968	29	9	is	be	AUX
iajs-968	29	10	given	give	VERB
iajs-968	29	11	by	by	ADP
iajs-968	29	12	:	:	PUNCT
iajs-968	29	13	f(x	f(x	PROPN
iajs-968	29	14	)	)	PUNCT
iajs-968	30	1			NUM
iajs-968	31	1	2h	2h	NUM
iajs-968	31	2	j	j	PROPN
iajs-968	31	3	j	j	PROPN
iajs-968	31	4	2	2	NUM
iajs-968	31	5	j	j	PROPN
iajs-968	31	6	1	1	NUM
iajs-968	31	7	j	j	NOUN
iajs-968	31	8	||	||	NOUN
iajs-968	31	9	x	x	PUNCT
iajs-968	32	1	c	c	NOUN
iajs-968	32	2	||	||	NOUN
iajs-968	33	1	w	w	PROPN
iajs-968	33	2	exp	exp	NOUN
iajs-968	33	3	2	2	NUM
iajs-968	33	4			NOUN
iajs-968	33	5			PROPN
iajs-968	33	6			PROPN
iajs-968	33	7			PROPN
iajs-968	34	1			PROPN
iajs-968	34	2			PROPN
iajs-968	34	3			NOUN
iajs-968	34	4			X
iajs-968	34	5			X
iajs-968	34	6	ihjpas	ihjpas	PROPN
iajs-968	34	7	ibn	ibn	PROPN
iajs-968	34	8	alhaitham	alhaitham	PROPN
iajs-968	35	1	j.	j.	PROPN
iajs-968	36	1	fo	fo	ADP
iajs-968	36	2	r	r	NOUN
iajs-968	36	3	pure	pure	ADJ
iajs-968	36	4	&	&	CCONJ
iajs-968	36	5	appl	appl	PROPN
iajs-968	36	6	.	.	PUNCT
iajs-968	37	1	sc	sc	PROPN
iajs-968	37	2	i.	i.	PROPN
iajs-968	37	3	vo	vo	PROPN
iajs-968	37	4	l.23	l.23	PROPN
iajs-968	37	5	(	(	PUNCT
iajs-968	37	6	2	2	NUM
iajs-968	37	7	)	)	PUNCT
iajs-968	37	8	2010	2010	NUM
iajs-968	37	9	where	where	SCONJ
iajs-968	37	10	h	h	NOUN
iajs-968	37	11	is	be	AUX
iajs-968	37	12	the	the	DET
iajs-968	37	13	number	number	NOUN
iajs-968	37	14	of	of	ADP
iajs-968	37	15	basis	basis	NOUN
iajs-968	37	16	functions	function	NOUN
iajs-968	37	17	used	use	VERB
iajs-968	37	18	,	,	PUNCT
iajs-968	37	19	y	y	PROPN
iajs-968	37	20	=	=	SYM
iajs-968	37	21	(	(	PUNCT
iajs-968	37	22	y1	y1	PROPN
iajs-968	37	23	,	,	PUNCT
iajs-968	37	24	y2	y2	PROPN
iajs-968	37	25	,	,	PUNCT
iajs-968	37	26	…	…	PUNCT
iajs-968	37	27	,	,	PUNCT
iajs-968	37	28	ym	ym	INTJ
iajs-968	37	29	)	)	PUNCT
iajs-968	37	30	t	t	PROPN
iajs-968	37	31	is	be	AUX
iajs-968	37	32	the	the	DET
iajs-968	37	33	output	output	NOUN
iajs-968	37	34	of	of	ADP
iajs-968	37	35	the	the	DET
iajs-968	37	36	rbfnn	rbfnn	NOUN
iajs-968	37	37	,	,	PUNCT
iajs-968	37	38	x	x	X
iajs-968	37	39	is	be	AUX
iajs-968	37	40	the	the	DET
iajs-968	37	41	test	test	NOUN
iajs-968	37	42	input	input	NOUN
iajs-968	37	43	,	,	PUNCT
iajs-968	37	44	xj	xj	PROPN
iajs-968	37	45	is	be	AUX
iajs-968	37	46	the	the	DET
iajs-968	37	47	center	center	NOUN
iajs-968	37	48	of	of	ADP
iajs-968	37	49	the	the	DET
iajs-968	37	50	basis	basis	NOUN
iajs-968	37	51	function	function	NOUN
iajs-968	37	52	and	and	CCONJ
iajs-968	37	53	are	be	AUX
iajs-968	37	54	the	the	DET
iajs-968	37	55	expansion	expansion	NOUN
iajs-968	37	56	coefficients	coefficient	NOUN
iajs-968	37	57	or	or	CCONJ
iajs-968	37	58	weights	weight	NOUN
iajs-968	37	59	associated	associate	VERB
iajs-968	37	60	with	with	ADP
iajs-968	37	61	each	each	DET
iajs-968	37	62	basis	basis	NOUN
iajs-968	37	63	function	function	NOUN
iajs-968	37	64	.	.	PUNCT
iajs-968	38	1	each	each	DET
iajs-968	38	2	training	training	NOUN
iajs-968	38	3	data	datum	NOUN
iajs-968	38	4	sample	sample	NOUN
iajs-968	38	5	is	be	AUX
iajs-968	38	6	selected	select	VERB
iajs-968	38	7	as	as	ADP
iajs-968	38	8	the	the	DET
iajs-968	38	9	center	center	NOUN
iajs-968	38	10	of	of	ADP
iajs-968	38	11	a	a	DET
iajs-968	38	12	basis	basis	NOUN
iajs-968	38	13	function	function	NOUN
iajs-968	38	14	.	.	PUNCT
iajs-968	39	1	basis	basis	NOUN
iajs-968	39	2	functions	function	NOUN
iajs-968	39	3	g(x	g(x	NOUN
iajs-968	39	4	,	,	PUNCT
iajs-968	39	5	xi	xi	PROPN
iajs-968	39	6	)	)	PUNCT
iajs-968	39	7	that	that	PRON
iajs-968	39	8	are	be	AUX
iajs-968	39	9	radially	radially	ADV
iajs-968	39	10	symmetric	symmetric	ADJ
iajs-968	39	11	are	be	AUX
iajs-968	39	12	called	call	VERB
iajs-968	39	13	radial	radial	ADJ
iajs-968	39	14	basis	basis	NOUN
iajs-968	39	15	functions	function	NOUN
iajs-968	39	16	.	.	PUNCT
iajs-968	40	1	commonly	commonly	ADV
iajs-968	40	2	used	use	VERB
iajs-968	40	3	radial	radial	ADJ
iajs-968	40	4	basis	basis	NOUN
iajs-968	40	5	functions	function	NOUN
iajs-968	40	6	include	include	VERB
iajs-968	40	7	the	the	DET
iajs-968	40	8	gaussian	gaussian	ADJ
iajs-968	40	9	and	and	CCONJ
iajs-968	40	10	inverse	inverse	NOUN
iajs-968	40	11	multiquadrics	multiquadric	NOUN
iajs-968	40	12	.	.	PUNCT
iajs-968	41	1	3	3	X
iajs-968	41	2	.	.	X
iajs-968	41	3	wavelet	wavelet	NOUN
iajs-968	41	4	basis	basis	NOUN
iajs-968	41	5	function	function	NOUN
iajs-968	41	6	neural	neural	ADJ
iajs-968	41	7	networks	network	NOUN
iajs-968	41	8	(	(	PUNCT
iajs-968	41	9	wbfnn	wbfnn	NOUN
iajs-968	41	10	)	)	PUNCT
iajs-968	41	11	the	the	DET
iajs-968	41	12	wavelet	wavelet	NOUN
iajs-968	41	13	transform	transform	NOUN
iajs-968	41	14	is	be	AUX
iajs-968	41	15	a	a	DET
iajs-968	41	16	time	time	NOUN
iajs-968	41	17	-	-	PUNCT
iajs-968	41	18	frequency	frequency	NOUN
iajs-968	41	19	transform	transform	NOUN
iajs-968	41	20	that	that	PRON
iajs-968	41	21	provides	provide	VERB
iajs-968	41	22	both	both	PRON
iajs-968	41	23	the	the	DET
iajs-968	41	24	frequency	frequency	NOUN
iajs-968	41	25	as	as	ADV
iajs-968	41	26	well	well	ADV
iajs-968	41	27	as	as	ADP
iajs-968	41	28	time	time	NOUN
iajs-968	41	29	localization	localization	NOUN
iajs-968	41	30	in	in	ADP
iajs-968	41	31	the	the	DET
iajs-968	41	32	form	form	NOUN
iajs-968	41	33	of	of	ADP
iajs-968	41	34	a	a	DET
iajs-968	41	35	multi	multi	ADJ
iajs-968	41	36	resolution	resolution	NOUN
iajs-968	41	37	decomposition	decomposition	NOUN
iajs-968	41	38	of	of	ADP
iajs-968	41	39	the	the	DET
iajs-968	41	40	signal	signal	NOUN
iajs-968	41	41	[	[	X
iajs-968	41	42	6	6	NUM
iajs-968	41	43	]	]	PUNCT
iajs-968	41	44	.	.	PUNCT
iajs-968	42	1	consider	consider	VERB
iajs-968	42	2	a	a	DET
iajs-968	42	3	square	square	ADJ
iajs-968	42	4	integrable	integrable	ADJ
iajs-968	42	5	function	function	NOUN
iajs-968	42	6	f(x	f(x	PROPN
iajs-968	42	7	)	)	PUNCT
iajs-968	42	8	and	and	CCONJ
iajs-968	42	9	let	let	VERB
iajs-968	42	10	vm	vm	PROPN
iajs-968	42	11	be	be	AUX
iajs-968	42	12	the	the	DET
iajs-968	42	13	vector	vector	NOUN
iajs-968	42	14	space	space	NOUN
iajs-968	42	15	containing	contain	VERB
iajs-968	42	16	all	all	DET
iajs-968	42	17	possible	possible	ADJ
iajs-968	42	18	projections	projection	NOUN
iajs-968	42	19	of	of	ADP
iajs-968	42	20	f	f	PROPN
iajs-968	42	21	at	at	ADP
iajs-968	42	22	the	the	DET
iajs-968	42	23	resolution	resolution	NOUN
iajs-968	42	24	m	m	VERB
iajs-968	42	25	where	where	SCONJ
iajs-968	42	26	2	2	NUM
iajs-968	42	27	m	m	NOUN
iajs-968	42	28	is	be	AUX
iajs-968	42	29	the	the	DET
iajs-968	42	30	sampling	sample	VERB
iajs-968	42	31	interval	interval	NOUN
iajs-968	42	32	at	at	ADP
iajs-968	42	33	this	this	DET
iajs-968	42	34	resolution	resolution	NOUN
iajs-968	42	35	[	[	X
iajs-968	42	36	7	7	NUM
iajs-968	42	37	]	]	PUNCT
iajs-968	42	38	.	.	PUNCT
iajs-968	43	1	obviously	obviously	ADV
iajs-968	43	2	,	,	PUNCT
iajs-968	43	3	as	as	SCONJ
iajs-968	43	4	m	m	NOUN
iajs-968	43	5	increases	increase	NOUN
iajs-968	43	6	,	,	PUNCT
iajs-968	43	7	the	the	DET
iajs-968	43	8	number	number	NOUN
iajs-968	43	9	of	of	ADP
iajs-968	43	10	samples	sample	NOUN
iajs-968	43	11	at	at	ADP
iajs-968	43	12	that	that	DET
iajs-968	43	13	resolution	resolution	NOUN
iajs-968	43	14	decreases	decrease	NOUN
iajs-968	43	15	and	and	CCONJ
iajs-968	43	16	the	the	DET
iajs-968	43	17	approximation	approximation	NOUN
iajs-968	43	18	gets	get	VERB
iajs-968	43	19	coarser	coarse	ADJ
iajs-968	43	20	.	.	PUNCT
iajs-968	44	1	now	now	ADV
iajs-968	44	2	,	,	PUNCT
iajs-968	44	3	consider	consider	VERB
iajs-968	44	4	all	all	DET
iajs-968	44	5	approximations	approximation	NOUN
iajs-968	44	6	of	of	ADP
iajs-968	44	7	f	f	PROPN
iajs-968	44	8	at	at	ADP
iajs-968	44	9	all	all	DET
iajs-968	44	10	resolutions	resolution	NOUN
iajs-968	44	11	.	.	PUNCT
iajs-968	45	1	the	the	DET
iajs-968	45	2	associated	associated	ADJ
iajs-968	45	3	vector	vector	NOUN
iajs-968	45	4	spaces	space	NOUN
iajs-968	45	5	are	be	AUX
iajs-968	45	6	nested	nest	VERB
iajs-968	45	7	as	as	SCONJ
iajs-968	45	8	follows	follow	VERB
iajs-968	45	9	:	:	PUNCT
iajs-968	45	10	…	…	PUNCT
iajs-968	45	11	.	.	PUNCT
iajs-968	46	1	v2	v2	PROPN
iajs-968	46	2			PROPN
iajs-968	46	3	v1	v1	PROPN
iajs-968	46	4			PROPN
iajs-968	46	5	v0	v0	NOUN
iajs-968	46	6			PROPN
iajs-968	46	7	v-1	v-1	PROPN
iajs-968	46	8			PROPN
iajs-968	46	9	v-2	v-2	PROPN
iajs-968	46	10			PROPN
iajs-968	46	11	…	…	PUNCT
iajs-968	46	12	.	.	PUNCT
iajs-968	47	1	due	due	ADP
iajs-968	47	2	to	to	ADP
iajs-968	47	3	the	the	DET
iajs-968	47	4	fact	fact	NOUN
iajs-968	47	5	the	the	DET
iajs-968	47	6	finer	fine	ADJ
iajs-968	47	7	resolutions	resolution	NOUN
iajs-968	47	8	contain	contain	VERB
iajs-968	47	9	all	all	PRON
iajs-968	47	10	that	that	PRON
iajs-968	47	11	required	require	VERB
iajs-968	47	12	information	information	NOUN
iajs-968	47	13	to	to	PART
iajs-968	47	14	compute	compute	VERB
iajs-968	47	15	the	the	DET
iajs-968	47	16	coarser	coarse	ADJ
iajs-968	47	17	approximation	approximation	NOUN
iajs-968	47	18	of	of	ADP
iajs-968	47	19	the	the	DET
iajs-968	47	20	function	function	NOUN
iajs-968	47	21	f.	f.	PROPN
iajs-968	47	22	it	it	PRON
iajs-968	47	23	is	be	AUX
iajs-968	47	24	also	also	ADV
iajs-968	47	25	obvious	obvious	ADJ
iajs-968	47	26	that	that	SCONJ
iajs-968	47	27	as	as	SCONJ
iajs-968	47	28	the	the	DET
iajs-968	47	29	resolution	resolution	NOUN
iajs-968	47	30	decreases	decrease	VERB
iajs-968	47	31	,	,	PUNCT
iajs-968	47	32	the	the	DET
iajs-968	47	33	approximation	approximation	NOUN
iajs-968	47	34	gets	get	VERB
iajs-968	47	35	coarser	coarse	ADJ
iajs-968	47	36	and	and	CCONJ
iajs-968	47	37	contains	contain	VERB
iajs-968	47	38	less	less	ADJ
iajs-968	47	39	and	and	CCONJ
iajs-968	47	40	less	less	ADJ
iajs-968	47	41	information	information	NOUN
iajs-968	47	42	.	.	PUNCT
iajs-968	48	1	in	in	ADP
iajs-968	48	2	the	the	DET
iajs-968	48	3	limit	limit	NOUN
iajs-968	48	4	,	,	PUNCT
iajs-968	48	5	it	it	PRON
iajs-968	48	6	converges	converge	VERB
iajs-968	48	7	to	to	ADP
iajs-968	48	8	zero	zero	NUM
iajs-968	48	9	:	:	PUNCT
iajs-968	48	10			ADP
iajs-968	48	11			PROPN
iajs-968	48	12			PROPN
iajs-968	48	13			PROPN
iajs-968	48	14			PROPN
iajs-968	48	15	m	m	VERB
iajs-968	48	16	mmm	mmm	INTJ
iajs-968	48	17	vvlim	vvlim	NOUN
iajs-968	48	18	=	=	PUNCT
iajs-968	48	19	{	{	PUNCT
iajs-968	48	20	0	0	NUM
iajs-968	48	21	}	}	PUNCT
iajs-968	48	22	on	on	ADP
iajs-968	48	23	the	the	DET
iajs-968	48	24	other	other	ADJ
iajs-968	48	25	hand	hand	NOUN
iajs-968	48	26	,	,	PUNCT
iajs-968	48	27	as	as	SCONJ
iajs-968	48	28	the	the	DET
iajs-968	48	29	resolution	resolution	NOUN
iajs-968	48	30	increases	increase	VERB
iajs-968	48	31	,	,	PUNCT
iajs-968	48	32	the	the	DET
iajs-968	48	33	approximation	approximation	NOUN
iajs-968	48	34	has	have	VERB
iajs-968	48	35	more	more	ADJ
iajs-968	48	36	information	information	NOUN
iajs-968	48	37	and	and	CCONJ
iajs-968	48	38	eventually	eventually	ADV
iajs-968	48	39	converges	converge	VERB
iajs-968	48	40	to	to	ADP
iajs-968	48	41	the	the	DET
iajs-968	48	42	original	original	ADJ
iajs-968	48	43	signal	signal	NOUN
iajs-968	48	44	:	:	PUNCT
iajs-968	48	45			ADJ
iajs-968	48	46			NOUN
iajs-968	48	47			ADJ
iajs-968	48	48			NOUN
iajs-968	48	49			PROPN
iajs-968	48	50	m	m	VERB
iajs-968	48	51	mmm	mmm	INTJ
iajs-968	48	52	vvlim	vvlim	NOUN
iajs-968	48	53	is	be	AUX
iajs-968	48	54	dense	dense	ADJ
iajs-968	48	55	in	in	ADP
iajs-968	48	56	l2(r	l2(r	NOUN
iajs-968	48	57	)	)	PUNCT
iajs-968	48	58	.	.	PUNCT
iajs-968	49	1	if	if	SCONJ
iajs-968	49	2	ф(x	ф(x	PROPN
iajs-968	49	3	)	)	PUNCT
iajs-968	49	4	denotes	denote	VERB
iajs-968	49	5	the	the	DET
iajs-968	49	6	scaling	scaling	NOUN
iajs-968	49	7	function	function	NOUN
iajs-968	49	8	,	,	PUNCT
iajs-968	49	9	then	then	ADV
iajs-968	49	10	vm	vm	PROPN
iajs-968	49	11	=	=	PUNCT
iajs-968	49	12	linear	linear	PROPN
iajs-968	49	13	span	span	NOUN
iajs-968	49	14	{	{	PUNCT
iajs-968	49	15	фmk	фmk	ADV
iajs-968	49	16	,	,	PUNCT
iajs-968	49	17	k	k	PROPN
iajs-968	49	18	z	z	NOUN
iajs-968	49	19	}	}	PUNCT
iajs-968	49	20	where	where	SCONJ
iajs-968	49	21	фmk	фmk	ADV
iajs-968	49	22	=	=	PRON
iajs-968	49	23	m2	m2	PROPN
iajs-968	49	24	ф	ф	PROPN
iajs-968	49	25	(	(	PUNCT
iajs-968	49	26	2	2	NUM
iajs-968	49	27	-	-	PUNCT
iajs-968	49	28	m	m	NOUN
iajs-968	49	29	x	x	SYM
iajs-968	49	30	k	k	PROPN
iajs-968	49	31	)	)	PUNCT
iajs-968	49	32	,	,	PUNCT
iajs-968	49	33	(	(	PUNCT
iajs-968	49	34	m	m	PROPN
iajs-968	49	35	,	,	PUNCT
iajs-968	49	36	k	k	PROPN
iajs-968	49	37	)	)	PUNCT
iajs-968	49	38	є	є	PROPN
iajs-968	49	39	z	z	NOUN
iajs-968	49	40	2	2	NUM
iajs-968	49	41	is	be	AUX
iajs-968	49	42	the	the	DET
iajs-968	49	43	translated	translate	VERB
iajs-968	49	44	version	version	NOUN
iajs-968	49	45	of	of	ADP
iajs-968	49	46	ф(x	ф(x	PROPN
iajs-968	49	47	)	)	PUNCT
iajs-968	49	48	.	.	PUNCT
iajs-968	50	1	since	since	SCONJ
iajs-968	50	2	the	the	DET
iajs-968	50	3	family	family	NOUN
iajs-968	50	4	of	of	ADP
iajs-968	50	5	functions	function	NOUN
iajs-968	50	6	{	{	PUNCT
iajs-968	50	7	фmk(x	фmk(x	PROPN
iajs-968	50	8	)	)	PUNCT
iajs-968	50	9	|	|	ADV
iajs-968	50	10	(	(	PUNCT
iajs-968	50	11	m	m	PROPN
iajs-968	50	12	,	,	PUNCT
iajs-968	50	13	k	k	PROPN
iajs-968	50	14	)	)	PUNCT
iajs-968	50	15	є	є	PROPN
iajs-968	50	16	z2	z2	PROPN
iajs-968	50	17	}	}	PUNCT
iajs-968	50	18	forms	form	VERB
iajs-968	50	19	an	an	DET
iajs-968	50	20	orthonormal	orthonormal	ADJ
iajs-968	50	21	basis	basis	NOUN
iajs-968	50	22	for	for	ADP
iajs-968	50	23	vm	vm	PROPN
iajs-968	50	24	,	,	PUNCT
iajs-968	50	25	f	f	PROPN
iajs-968	50	26	can	can	AUX
iajs-968	50	27	be	be	AUX
iajs-968	50	28	written	write	VERB
iajs-968	50	29	as	as	ADP
iajs-968	50	30	:	:	PUNCT
iajs-968	50	31	fm(x	fm(x	NUM
iajs-968	50	32	)	)	PUNCT
iajs-968	50	33	=	=	SYM
iajs-968	50	34			NOUN
iajs-968	50	35			VERB
iajs-968	50	36	k	k	NUM
iajs-968	50	37	smk	smk	PROPN
iajs-968	50	38	фmk(x	фmk(x	PROPN
iajs-968	50	39	)	)	PUNCT
iajs-968	50	40	where	where	SCONJ
iajs-968	50	41	smk	smk	NOUN
iajs-968	50	42	=	=	NOUN
iajs-968	50	43			PUNCT
iajs-968	50	44			PROPN
iajs-968	50	45			PROPN
iajs-968	50	46	f(x	f(x	PROPN
iajs-968	50	47	)	)	PUNCT
iajs-968	50	48	фmk(x	фmk(x	PROPN
iajs-968	50	49	)	)	PUNCT
iajs-968	50	50	dx	dx	PROPN
iajs-968	50	51	is	be	AUX
iajs-968	50	52	the	the	DET
iajs-968	50	53	projection	projection	NOUN
iajs-968	50	54	of	of	ADP
iajs-968	50	55	f	f	PROPN
iajs-968	50	56	onto	onto	ADP
iajs-968	50	57	the	the	DET
iajs-968	50	58	orthonormal	orthonormal	ADJ
iajs-968	50	59	basis	basis	NOUN
iajs-968	50	60	functions	function	NOUN
iajs-968	50	61	фmk(x	фmk(x	NOUN
iajs-968	50	62	)	)	PUNCT
iajs-968	50	63	.	.	PUNCT
iajs-968	51	1	further	far	ADV
iajs-968	51	2	,	,	PUNCT
iajs-968	51	3	suppose	suppose	VERB
iajs-968	51	4	wm	wm	PROPN
iajs-968	51	5	is	be	AUX
iajs-968	51	6	the	the	DET
iajs-968	51	7	orthogonal	orthogonal	ADJ
iajs-968	51	8	complement	complement	NOUN
iajs-968	51	9	of	of	ADP
iajs-968	51	10	vm	vm	PROPN
iajs-968	51	11	in	in	ADP
iajs-968	51	12	vm-1	vm-1	PROPN
iajs-968	51	13	.	.	PUNCT
iajs-968	52	1	then	then	ADV
iajs-968	52	2	vm-1	vm-1	PUNCT
iajs-968	52	3	=	=	SYM
iajs-968	52	4	vm	vm	PROPN
iajs-968	52	5	⊕	⊕	PROPN
iajs-968	52	6	wm	wm	PROPN
iajs-968	52	7	with	with	ADP
iajs-968	52	8	vm	vm	PROPN
iajs-968	52	9	┴	┴	PROPN
iajs-968	52	10	wm	wm	PROPN
iajs-968	52	11	…	…	PUNCT
iajs-968	52	12	…	…	PUNCT
iajs-968	52	13	.(1	.(1	NUM
iajs-968	52	14	)	)	PUNCT
iajs-968	53	1	the	the	PRON
iajs-968	53	2	(	(	PUNCT
iajs-968	53	3	m-1)th	m-1)th	NOUN
iajs-968	53	4	approximation	approximation	NOUN
iajs-968	53	5	can	can	AUX
iajs-968	53	6	be	be	AUX
iajs-968	53	7	written	write	VERB
iajs-968	53	8	as	as	ADP
iajs-968	53	9	the	the	DET
iajs-968	53	10	sum	sum	NOUN
iajs-968	53	11	of	of	ADP
iajs-968	53	12	the	the	DET
iajs-968	53	13	projections	projection	NOUN
iajs-968	53	14	of	of	ADP
iajs-968	53	15	f	f	PROPN
iajs-968	53	16	onto	onto	ADP
iajs-968	53	17	vm	vm	PROPN
iajs-968	53	18	and	and	CCONJ
iajs-968	53	19	wm	wm	PROPN
iajs-968	53	20	.	.	PUNCT
iajs-968	54	1	equivalently	equivalently	ADV
iajs-968	54	2	,	,	PUNCT
iajs-968	54	3	the	the	DET
iajs-968	54	4	difference	difference	NOUN
iajs-968	54	5	in	in	ADP
iajs-968	54	6	information	information	NOUN
iajs-968	54	7	(	(	PUNCT
iajs-968	54	8	called	call	VERB
iajs-968	54	9	the	the	DET
iajs-968	54	10	dilates	dilate	NOUN
iajs-968	54	11	)	)	PUNCT
iajs-968	54	12	between	between	ADP
iajs-968	54	13	the	the	DET
iajs-968	54	14	m	m	VERB
iajs-968	54	15	th	th	X
iajs-968	54	16	and	and	CCONJ
iajs-968	54	17	(	(	PUNCT
iajs-968	54	18	m1)th	m1)th	NOUN
iajs-968	54	19	approximations	approximation	NOUN
iajs-968	54	20	is	be	AUX
iajs-968	54	21	given	give	VERB
iajs-968	54	22	by	by	ADP
iajs-968	54	23	the	the	DET
iajs-968	54	24	projection	projection	NOUN
iajs-968	54	25	of	of	ADP
iajs-968	54	26	f	f	PROPN
iajs-968	54	27	onto	onto	ADP
iajs-968	54	28	wm	wm	PROPN
iajs-968	54	29	.	.	PUNCT
iajs-968	54	30	mallat	mallat	PROPN
iajs-968	55	1	[	[	X
iajs-968	55	2	8	8	NUM
iajs-968	55	3	]	]	PUNCT
iajs-968	55	4	shows	show	VERB
iajs-968	55	5	that	that	SCONJ
iajs-968	55	6	there	there	PRON
iajs-968	55	7	exists	exist	VERB
iajs-968	55	8	a	a	DET
iajs-968	55	9	unique	unique	ADJ
iajs-968	55	10	function	function	NOUN
iajs-968	55	11	,	,	PUNCT
iajs-968	55	12	called	call	VERB
iajs-968	55	13	the	the	DET
iajs-968	55	14	wavelet	wavelet	NOUN
iajs-968	55	15	function	function	NOUN
iajs-968	55	16	,	,	PUNCT
iajs-968	55	17	whose	whose	DET
iajs-968	55	18	translates	translate	VERB
iajs-968	55	19	and	and	CCONJ
iajs-968	55	20	dilates	dilate	VERB
iajs-968	55	21	form	form	VERB
iajs-968	55	22	an	an	DET
iajs-968	55	23	orthonormal	orthonormal	ADJ
iajs-968	55	24	basis	basis	NOUN
iajs-968	55	25	for	for	ADP
iajs-968	55	26	the	the	DET
iajs-968	55	27	space	space	NOUN
iajs-968	55	28	wm	wm	PROPN
iajs-968	55	29	.	.	PROPN
iajs-968	56	1	in	in	ADP
iajs-968	56	2	other	other	ADJ
iajs-968	56	3	words	word	NOUN
iajs-968	56	4	,	,	PUNCT
iajs-968	56	5	the	the	DET
iajs-968	56	6	detail	detail	NOUN
iajs-968	56	7	of	of	ADP
iajs-968	56	8	f	f	PROPN
iajs-968	56	9	at	at	ADP
iajs-968	56	10	the	the	DET
iajs-968	56	11	mth	mth	NOUN
iajs-968	56	12	resolution	resolution	NOUN
iajs-968	56	13	is	be	AUX
iajs-968	56	14	given	give	VERB
iajs-968	56	15	by	by	ADP
iajs-968	56	16	dm	dm	PROPN
iajs-968	56	17	f(x	f(x	PROPN
iajs-968	56	18	)	)	PUNCT
iajs-968	57	1	=	=	PUNCT
iajs-968	57	2			X
iajs-968	57	3			VERB
iajs-968	57	4	k	k	NUM
iajs-968	57	5	dmk	dmk	NOUN
iajs-968	57	6	ψmk(x	ψmk(x	PROPN
iajs-968	57	7	)	)	PUNCT
iajs-968	57	8	,	,	PUNCT
iajs-968	57	9	where	where	SCONJ
iajs-968	57	10	ψ(x	ψ(x	NOUN
iajs-968	57	11	)	)	PUNCT
iajs-968	57	12	is	be	AUX
iajs-968	57	13	the	the	DET
iajs-968	57	14	wavelet	wavelet	NOUN
iajs-968	57	15	،	،	X
iajs-968	57	16	ψmk(x	ψmk(x	PROPN
iajs-968	57	17	)	)	PUNCT
iajs-968	58	1	=	=	PUNCT
iajs-968	58	2	m2	m2	PROPN
iajs-968	58	3	ψ(2	ψ(2	PROPN
iajs-968	58	4	-	-	PUNCT
iajs-968	58	5	m	m	VERB
iajs-968	58	6	x	x	X
iajs-968	58	7	–	–	PUNCT
iajs-968	58	8	k	k	NOUN
iajs-968	58	9	)	)	PUNCT
iajs-968	58	10	,	,	PUNCT
iajs-968	58	11	(	(	PUNCT
iajs-968	58	12	m	m	PROPN
iajs-968	58	13	,	,	PUNCT
iajs-968	58	14	k	k	PROPN
iajs-968	58	15	)	)	PUNCT
iajs-968	58	16			PROPN
iajs-968	58	17	z2	z2	PROPN
iajs-968	58	18	are	be	AUX
iajs-968	58	19	the	the	DET
iajs-968	58	20	translates	translate	NOUN
iajs-968	58	21	and	and	CCONJ
iajs-968	58	22	dilates	dilate	NOUN
iajs-968	58	23	of	of	ADP
iajs-968	58	24	ψ(x	ψ(x	NOUN
iajs-968	58	25	)	)	PUNCT
iajs-968	58	26	and	and	CCONJ
iajs-968	58	27	dmk	dmk	NOUN
iajs-968	58	28	=	=	PUNCT
iajs-968	58	29			PUNCT
iajs-968	58	30			PROPN
iajs-968	58	31			PROPN
iajs-968	58	32	f(x)ψmk(x)dx	f(x)ψmk(x)dx	PART
iajs-968	58	33	are	be	AUX
iajs-968	58	34	the	the	DET
iajs-968	58	35	projections	projection	NOUN
iajs-968	58	36	of	of	ADP
iajs-968	58	37	f	f	PROPN
iajs-968	58	38	onto	onto	ADP
iajs-968	58	39	wm	wm	PROPN
iajs-968	58	40	.	.	PUNCT
iajs-968	59	1	further	far	ADV
iajs-968	59	2	from	from	ADP
iajs-968	59	3	(	(	PUNCT
iajs-968	59	4	1	1	NUM
iajs-968	59	5	)	)	PUNCT
iajs-968	59	6	,	,	PUNCT
iajs-968	59	7	we	we	PRON
iajs-968	59	8	get	get	VERB
iajs-968	59	9	fm-1(x	fm-1(x	NUM
iajs-968	59	10	)	)	PUNCT
iajs-968	59	11	=	=	PUNCT
iajs-968	59	12	fm(x	fm(x	X
iajs-968	59	13	)	)	PUNCT
iajs-968	60	1	+	+	CCONJ
iajs-968	60	2			X
iajs-968	60	3			VERB
iajs-968	60	4	k	k	NUM
iajs-968	60	5	dmkψmk(x	dmkψmk(x	NOUN
iajs-968	60	6	)	)	PUNCT
iajs-968	60	7	.	.	PUNCT
iajs-968	61	1	since	since	SCONJ
iajs-968	61	2	the	the	DET
iajs-968	61	3	v	v	NOUN
iajs-968	61	4	-	-	PUNCT
iajs-968	61	5	spaces	space	NOUN
iajs-968	61	6	form	form	VERB
iajs-968	61	7	a	a	DET
iajs-968	61	8	nested	nested	ADJ
iajs-968	61	9	set	set	NOUN
iajs-968	61	10	of	of	ADP
iajs-968	61	11	subspaces	subspace	NOUN
iajs-968	61	12	,	,	PUNCT
iajs-968	61	13	f	f	PROPN
iajs-968	61	14	can	can	AUX
iajs-968	61	15	be	be	AUX
iajs-968	61	16	written	write	VERB
iajs-968	61	17	as	as	ADP
iajs-968	61	18	:	:	PUNCT
iajs-968	61	19	ihjpas	ihjpas	PROPN
iajs-968	61	20	ibn	ibn	PROPN
iajs-968	61	21	alhaitham	alhaitham	PROPN
iajs-968	62	1	j.	j.	PROPN
iajs-968	63	1	fo	fo	ADP
iajs-968	63	2	r	r	NOUN
iajs-968	63	3	pure	pure	ADJ
iajs-968	63	4	&	&	CCONJ
iajs-968	63	5	appl	appl	PROPN
iajs-968	63	6	.	.	PUNCT
iajs-968	64	1	sc	sc	PROPN
iajs-968	64	2	i.	i.	PROPN
iajs-968	64	3	vo	vo	PROPN
iajs-968	64	4	l.23	l.23	PROPN
iajs-968	64	5	(	(	PUNCT
iajs-968	64	6	2	2	NUM
iajs-968	64	7	)	)	PUNCT
iajs-968	64	8	2010	2010	NUM
iajs-968	64	9	f(x	f(x	PROPN
iajs-968	64	10	)	)	PUNCT
iajs-968	65	1	=	=	PUNCT
iajs-968	65	2			X
iajs-968	65	3			VERB
iajs-968	65	4	k	k	NUM
iajs-968	65	5	sk,-∞	sk,-∞	NOUN
iajs-968	65	6	фk,-∞(x	фk,-∞(x	NUM
iajs-968	65	7	)	)	PUNCT
iajs-968	66	1	+	+	CCONJ
iajs-968	66	2			PROPN
iajs-968	66	3			VERB
iajs-968	66	4	l	l	NOUN
iajs-968	66	5			X
iajs-968	66	6			VERB
iajs-968	66	7	k	k	NUM
iajs-968	66	8	dlk	dlk	NUM
iajs-968	66	9	ψlk(x	ψlk(x	PROPN
iajs-968	66	10	)	)	PUNCT
iajs-968	66	11	…	…	PUNCT
iajs-968	66	12	…	…	PUNCT
iajs-968	66	13	…	…	PUNCT
iajs-968	66	14	…	…	PUNCT
iajs-968	66	15	…	…	PUNCT
iajs-968	66	16	.(2	.(2	NOUN
iajs-968	66	17	)	)	PUNCT
iajs-968	66	18	where	where	SCONJ
iajs-968	66	19	l	l	NOUN
iajs-968	66	20	indexes	index	VERB
iajs-968	66	21	over	over	ADP
iajs-968	66	22	the	the	DET
iajs-968	66	23	different	different	ADJ
iajs-968	66	24	resolutions	resolution	NOUN
iajs-968	66	25	.	.	PUNCT
iajs-968	67	1	in	in	ADP
iajs-968	67	2	practice	practice	NOUN
iajs-968	67	3	,	,	PUNCT
iajs-968	67	4	the	the	DET
iajs-968	67	5	limits	limit	NOUN
iajs-968	67	6	of	of	ADP
iajs-968	67	7	summation	summation	NOUN
iajs-968	67	8	are	be	AUX
iajs-968	67	9	chosen	choose	VERB
iajs-968	67	10	to	to	PART
iajs-968	67	11	be	be	AUX
iajs-968	67	12	finite	finite	VERB
iajs-968	67	13	.	.	PUNCT
iajs-968	68	1	the	the	DET
iajs-968	68	2	architecture	architecture	NOUN
iajs-968	68	3	network	network	NOUN
iajs-968	68	4	consists	consist	VERB
iajs-968	68	5	of	of	ADP
iajs-968	68	6	an	an	DET
iajs-968	68	7	input	input	NOUN
iajs-968	68	8	and	and	CCONJ
iajs-968	68	9	an	an	DET
iajs-968	68	10	output	output	NOUN
iajs-968	68	11	layer	layer	NOUN
iajs-968	68	12	with	with	ADP
iajs-968	68	13	a	a	DET
iajs-968	68	14	single	single	ADJ
iajs-968	68	15	hidden	hide	VERB
iajs-968	68	16	layer	layer	NOUN
iajs-968	68	17	of	of	ADP
iajs-968	68	18	nodes	node	NOUN
iajs-968	68	19	[	[	X
iajs-968	68	20	9	9	NUM
iajs-968	68	21	]	]	PUNCT
iajs-968	68	22	.	.	PUNCT
iajs-968	69	1	the	the	DET
iajs-968	69	2	hidden	hide	VERB
iajs-968	69	3	layer	layer	NOUN
iajs-968	69	4	nodes	node	NOUN
iajs-968	69	5	are	be	AUX
iajs-968	69	6	grouped	group	VERB
iajs-968	69	7	by	by	ADP
iajs-968	69	8	resolution	resolution	NOUN
iajs-968	69	9	level	level	NOUN
iajs-968	69	10	.	.	PUNCT
iajs-968	70	1	we	we	PRON
iajs-968	70	2	have	have	VERB
iajs-968	70	3	as	as	ADV
iajs-968	70	4	many	many	ADJ
iajs-968	70	5	groups	group	NOUN
iajs-968	70	6	as	as	ADP
iajs-968	70	7	resolution	resolution	NOUN
iajs-968	70	8	levels	level	NOUN
iajs-968	70	9	,	,	PUNCT
iajs-968	70	10	with	with	ADP
iajs-968	70	11	the	the	DET
iajs-968	70	12	number	number	NOUN
iajs-968	70	13	of	of	ADP
iajs-968	70	14	basis	basis	NOUN
iajs-968	70	15	functions	function	NOUN
iajs-968	70	16	at	at	ADP
iajs-968	70	17	each	each	DET
iajs-968	70	18	resolution	resolution	NOUN
iajs-968	70	19	.	.	PUNCT
iajs-968	71	1	the	the	DET
iajs-968	71	2	input	input	NOUN
iajs-968	71	3	-	-	PUNCT
iajs-968	71	4	output	output	NOUN
iajs-968	71	5	relation	relation	NOUN
iajs-968	71	6	is	be	AUX
iajs-968	71	7	given	give	VERB
iajs-968	71	8	by	by	ADP
iajs-968	71	9	:	:	PUNCT
iajs-968	71	10	yl	yl	NOUN
iajs-968	71	11	=	=	PUNCT
iajs-968	71	12			X
iajs-968	71	13			NUM
iajs-968	71	14	1	1	NUM
iajs-968	71	15	1	1	NUM
iajs-968	71	16	h	h	NOUN
iajs-968	71	17	j	j	NOUN
iajs-968	71	18	wlj	wlj	VERB
iajs-968	71	19	фj	фj	PROPN
iajs-968	71	20	(	(	PUNCT
iajs-968	71	21	x	x	PROPN
iajs-968	71	22	,	,	PUNCT
iajs-968	71	23	cj	cj	NOUN
iajs-968	71	24	)	)	PUNCT
iajs-968	72	1	+	+	CCONJ
iajs-968	72	2			X
iajs-968	72	3			NUM
iajs-968	72	4	l	l	NOUN
iajs-968	72	5	n	n	NUM
iajs-968	72	6	1	1	NUM
iajs-968	72	7			NUM
iajs-968	73	1			NUM
iajs-968	73	2	nk	nk	PROPN
iajs-968	73	3	k	k	PROPN
iajs-968	73	4	1	1	NUM
iajs-968	73	5	wlkn	wlkn	PROPN
iajs-968	73	6	ψnk	ψnk	NOUN
iajs-968	73	7	(	(	PUNCT
iajs-968	73	8	x	x	SYM
iajs-968	73	9	,	,	PUNCT
iajs-968	73	10	cnk	cnk	PROPN
iajs-968	73	11	)	)	PUNCT
iajs-968	73	12	…	…	PUNCT
iajs-968	73	13	…	…	PUNCT
iajs-968	73	14	…	…	PUNCT
iajs-968	73	15	…	…	PUNCT
iajs-968	73	16	.(3	.(3	NOUN
iajs-968	73	17	)	)	PUNCT
iajs-968	73	18	where	where	SCONJ
iajs-968	73	19	l	l	NOUN
iajs-968	73	20	is	be	AUX
iajs-968	73	21	the	the	DET
iajs-968	73	22	total	total	ADJ
iajs-968	73	23	number	number	NOUN
iajs-968	73	24	of	of	ADP
iajs-968	73	25	resolutions	resolution	NOUN
iajs-968	73	26	h1	h1	VERB
iajs-968	73	27	is	be	AUX
iajs-968	73	28	the	the	DET
iajs-968	73	29	number	number	NOUN
iajs-968	73	30	of	of	ADP
iajs-968	73	31	scaling	scale	VERB
iajs-968	73	32	functions	function	NOUN
iajs-968	73	33	used	use	VERB
iajs-968	73	34	at	at	ADP
iajs-968	73	35	the	the	DET
iajs-968	73	36	coarsest	coarse	ADJ
iajs-968	73	37	resolution	resolution	NOUN
iajs-968	73	38	,	,	PUNCT
iajs-968	73	39	kn	kn	PROPN
iajs-968	73	40	is	be	AUX
iajs-968	73	41	the	the	DET
iajs-968	73	42	number	number	NOUN
iajs-968	73	43	of	of	ADP
iajs-968	73	44	wavelet	wavelet	NOUN
iajs-968	73	45	functions	function	NOUN
iajs-968	73	46	used	use	VERB
iajs-968	73	47	at	at	ADP
iajs-968	73	48	resolution	resolution	NOUN
iajs-968	73	49	n	n	CCONJ
iajs-968	73	50	,	,	PUNCT
iajs-968	73	51	ci	ci	PROPN
iajs-968	73	52	is	be	AUX
iajs-968	73	53	the	the	DET
iajs-968	73	54	center	center	NOUN
iajs-968	73	55	of	of	ADP
iajs-968	73	56	the	the	DET
iajs-968	73	57	corresponding	corresponding	ADJ
iajs-968	73	58	basis	basis	NOUN
iajs-968	73	59	function	function	NOUN
iajs-968	73	60	and	and	CCONJ
iajs-968	73	61	wlj	wlj	NOUN
iajs-968	73	62	is	be	AUX
iajs-968	73	63	the	the	DET
iajs-968	73	64	weight	weight	NOUN
iajs-968	73	65	of	of	ADP
iajs-968	73	66	the	the	DET
iajs-968	73	67	interconnection	interconnection	NOUN
iajs-968	73	68	connecting	connect	VERB
iajs-968	73	69	the	the	DET
iajs-968	73	70	j	j	PROPN
iajs-968	73	71	th	th	X
iajs-968	73	72	hidden	hide	VERB
iajs-968	73	73	node	node	NOUN
iajs-968	73	74	to	to	ADP
iajs-968	73	75	the	the	DET
iajs-968	73	76	l	l	NOUN
iajs-968	73	77	th	th	X
iajs-968	73	78	output	output	NOUN
iajs-968	73	79	node	node	NOUN
iajs-968	73	80	.	.	PUNCT
iajs-968	74	1	the	the	DET
iajs-968	74	2	weights	weight	NOUN
iajs-968	74	3	are	be	AUX
iajs-968	74	4	determined	determine	VERB
iajs-968	74	5	in	in	ADP
iajs-968	74	6	a	a	DET
iajs-968	74	7	similar	similar	ADJ
iajs-968	74	8	manner	manner	NOUN
iajs-968	74	9	to	to	ADP
iajs-968	74	10	the	the	DET
iajs-968	74	11	weights	weight	NOUN
iajs-968	74	12	in	in	ADP
iajs-968	74	13	the	the	DET
iajs-968	74	14	rbfnn	rbfnn	NOUN
iajs-968	74	15	described	describe	VERB
iajs-968	74	16	earlier	early	ADV
iajs-968	74	17	.	.	PUNCT
iajs-968	75	1	the	the	DET
iajs-968	75	2	primary	primary	ADJ
iajs-968	75	3	advantage	advantage	NOUN
iajs-968	75	4	of	of	ADP
iajs-968	75	5	using	use	VERB
iajs-968	75	6	wavelet	wavelet	NOUN
iajs-968	75	7	basis	basis	NOUN
iajs-968	75	8	functions	function	NOUN
iajs-968	75	9	is	be	AUX
iajs-968	75	10	orthonormality	orthonormality	NOUN
iajs-968	75	11	.	.	PUNCT
iajs-968	76	1	orthonormality	orthonormality	NOUN
iajs-968	76	2	of	of	ADP
iajs-968	76	3	wavelets	wavelet	NOUN
iajs-968	76	4	ensures	ensure	VERB
iajs-968	76	5	that	that	SCONJ
iajs-968	76	6	the	the	DET
iajs-968	76	7	number	number	NOUN
iajs-968	76	8	of	of	ADP
iajs-968	76	9	basis	basis	NOUN
iajs-968	76	10	functions	function	NOUN
iajs-968	76	11	required	require	VERB
iajs-968	76	12	to	to	PART
iajs-968	76	13	approximate	approximate	VERB
iajs-968	76	14	the	the	DET
iajs-968	76	15	function	function	NOUN
iajs-968	76	16	f	f	PROPN
iajs-968	76	17	is	be	AUX
iajs-968	76	18	minimum	minimum	ADJ
iajs-968	76	19	.	.	PUNCT
iajs-968	77	1	the	the	DET
iajs-968	77	2	second	second	ADJ
iajs-968	77	3	advantage	advantage	NOUN
iajs-968	77	4	is	be	AUX
iajs-968	77	5	that	that	SCONJ
iajs-968	77	6	wavelets	wavelet	NOUN
iajs-968	77	7	are	be	AUX
iajs-968	77	8	local	local	ADJ
iajs-968	77	9	basis	basis	NOUN
iajs-968	77	10	functions	function	NOUN
iajs-968	77	11	(	(	PUNCT
iajs-968	77	12	localization	localization	NOUN
iajs-968	77	13	property	property	NOUN
iajs-968	77	14	of	of	ADP
iajs-968	77	15	wavelets	wavelet	NOUN
iajs-968	77	16	)	)	PUNCT
iajs-968	77	17	.	.	PUNCT
iajs-968	78	1	the	the	DET
iajs-968	78	2	multi	multi	ADJ
iajs-968	78	3	resolution	resolution	NOUN
iajs-968	78	4	approximation	approximation	NOUN
iajs-968	78	5	(	(	PUNCT
iajs-968	78	6	mra	mra	NOUN
iajs-968	78	7	)	)	PUNCT
iajs-968	78	8	using	use	VERB
iajs-968	78	9	wavelets	wavelet	NOUN
iajs-968	78	10	allows	allow	VERB
iajs-968	78	11	the	the	DET
iajs-968	78	12	distribution	distribution	NOUN
iajs-968	78	13	of	of	ADP
iajs-968	78	14	basis	basis	NOUN
iajs-968	78	15	functions	function	NOUN
iajs-968	78	16	based	base	VERB
iajs-968	78	17	on	on	ADP
iajs-968	78	18	the	the	DET
iajs-968	78	19	resolution	resolution	NOUN
iajs-968	78	20	required	require	VERB
iajs-968	78	21	in	in	ADP
iajs-968	78	22	different	different	ADJ
iajs-968	78	23	parts	part	NOUN
iajs-968	78	24	of	of	ADP
iajs-968	78	25	the	the	DET
iajs-968	78	26	input	input	NOUN
iajs-968	78	27	space	space	NOUN
iajs-968	78	28	.	.	PUNCT
iajs-968	79	1	in	in	ADP
iajs-968	79	2	addition	addition	NOUN
iajs-968	79	3	,	,	PUNCT
iajs-968	79	4	the	the	DET
iajs-968	79	5	ability	ability	NOUN
iajs-968	79	6	to	to	PART
iajs-968	79	7	add	add	VERB
iajs-968	79	8	details	detail	NOUN
iajs-968	79	9	at	at	ADP
iajs-968	79	10	higher	high	ADJ
iajs-968	79	11	resolutions	resolution	NOUN
iajs-968	79	12	as	as	SCONJ
iajs-968	79	13	more	more	ADJ
iajs-968	79	14	data	datum	NOUN
iajs-968	79	15	become	become	VERB
iajs-968	79	16	available	available	ADJ
iajs-968	79	17	allows	allow	VERB
iajs-968	79	18	the	the	DET
iajs-968	79	19	network	network	NOUN
iajs-968	79	20	to	to	PART
iajs-968	79	21	learn	learn	VERB
iajs-968	79	22	in	in	ADP
iajs-968	79	23	incremental	incremental	ADJ
iajs-968	79	24	fashion	fashion	NOUN
iajs-968	79	25	and	and	CCONJ
iajs-968	79	26	allows	allow	VERB
iajs-968	79	27	the	the	DET
iajs-968	79	28	user	user	NOUN
iajs-968	79	29	to	to	PART
iajs-968	79	30	control	control	VERB
iajs-968	79	31	the	the	DET
iajs-968	79	32	degree	degree	NOUN
iajs-968	79	33	of	of	ADP
iajs-968	79	34	accuracy	accuracy	NOUN
iajs-968	79	35	of	of	ADP
iajs-968	79	36	the	the	DET
iajs-968	79	37	approximation	approximation	NOUN
iajs-968	79	38	.	.	PUNCT
iajs-968	80	1	equation	equation	NOUN
iajs-968	80	2	(	(	PUNCT
iajs-968	80	3	2	2	NUM
iajs-968	80	4	)	)	PUNCT
iajs-968	80	5	formulated	formulate	VERB
iajs-968	80	6	for	for	ADP
iajs-968	80	7	scalar	scalar	ADJ
iajs-968	80	8	inputs	input	NOUN
iajs-968	80	9	can	can	AUX
iajs-968	80	10	be	be	AUX
iajs-968	80	11	extended	extend	VERB
iajs-968	80	12	for	for	ADP
iajs-968	80	13	multidimensional	multidimensional	ADJ
iajs-968	80	14	inputs	input	NOUN
iajs-968	80	15	.	.	PUNCT
iajs-968	81	1	the	the	DET
iajs-968	81	2	corresponding	corresponding	ADJ
iajs-968	81	3	multidimensional	multidimensional	ADJ
iajs-968	81	4	scaling	scale	VERB
iajs-968	81	5	functions	function	NOUN
iajs-968	81	6	and	and	CCONJ
iajs-968	81	7	wavelets	wavelet	NOUN
iajs-968	81	8	are	be	AUX
iajs-968	81	9	formed	form	VERB
iajs-968	81	10	by	by	ADP
iajs-968	81	11	tensor	tensor	NOUN
iajs-968	81	12	products	product	NOUN
iajs-968	81	13	of	of	ADP
iajs-968	81	14	the	the	DET
iajs-968	81	15	1dimensional	1dimensional	NUM
iajs-968	81	16	scaling	scaling	ADJ
iajs-968	81	17	functions	function	NOUN
iajs-968	81	18	and	and	CCONJ
iajs-968	81	19	wavelets	wavelet	NOUN
iajs-968	81	20	.	.	PUNCT
iajs-968	82	1	consider	consider	VERB
iajs-968	82	2	the	the	DET
iajs-968	82	3	2dimensional	2dimensional	ADJ
iajs-968	82	4	case	case	NOUN
iajs-968	82	5	with	with	ADP
iajs-968	82	6	x	x	SYM
iajs-968	82	7	=	=	SYM
iajs-968	82	8	(	(	PUNCT
iajs-968	82	9	x1	x1	PROPN
iajs-968	82	10	,	,	PUNCT
iajs-968	82	11	x2	x2	PROPN
iajs-968	82	12	)	)	PUNCT
iajs-968	82	13	t.	t.	NOUN
iajs-968	82	14	denoting	denote	VERB
iajs-968	82	15	the	the	DET
iajs-968	82	16	1	1	NUM
iajs-968	82	17	-	-	PUNCT
iajs-968	82	18	d	d	ADJ
iajs-968	82	19	scaling	scale	VERB
iajs-968	82	20	function	function	NOUN
iajs-968	82	21	by	by	ADP
iajs-968	82	22	ф(x	ф(x	NOUN
iajs-968	82	23	)	)	PUNCT
iajs-968	82	24	and	and	CCONJ
iajs-968	82	25	the	the	DET
iajs-968	82	26	1	1	NUM
iajs-968	82	27	-	-	PUNCT
iajs-968	82	28	d	d	NOUN
iajs-968	82	29	wavelet	wavelet	NOUN
iajs-968	82	30	by	by	ADP
iajs-968	82	31	ψ(x	ψ(x	PROPN
iajs-968	82	32	)	)	PUNCT
iajs-968	82	33	one	one	NOUN
iajs-968	82	34	can	can	AUX
iajs-968	82	35	show	show	VERB
iajs-968	82	36	that	that	SCONJ
iajs-968	82	37	the	the	DET
iajs-968	82	38	2	2	NUM
iajs-968	82	39	-	-	PUNCT
iajs-968	82	40	dimensional	dimensional	ADJ
iajs-968	82	41	scaling	scaling	NOUN
iajs-968	82	42	function	function	NOUN
iajs-968	82	43	is	be	AUX
iajs-968	82	44	given	give	VERB
iajs-968	82	45	by	by	ADP
iajs-968	82	46	:	:	PUNCT
iajs-968	82	47	ф	ф	PROPN
iajs-968	82	48	(	(	PUNCT
iajs-968	82	49	x1	x1	PROPN
iajs-968	82	50	,	,	PUNCT
iajs-968	82	51	x2	x2	PROPN
iajs-968	82	52	)	)	PUNCT
iajs-968	83	1	=	=	SYM
iajs-968	83	2	ф(x1	ф(x1	ADJ
iajs-968	83	3	)	)	PUNCT
iajs-968	83	4	ф(x2	ф(x2	NOUN
iajs-968	83	5	)	)	PUNCT
iajs-968	83	6	.	.	PUNCT
iajs-968	84	1	similarly	similarly	ADV
iajs-968	84	2	,	,	PUNCT
iajs-968	84	3	the	the	DET
iajs-968	84	4	corresponding	corresponding	ADJ
iajs-968	84	5	wavelet	wavelet	NOUN
iajs-968	84	6	functions	function	NOUN
iajs-968	84	7	are	be	AUX
iajs-968	84	8	given	give	VERB
iajs-968	84	9	by	by	ADP
iajs-968	84	10	:	:	PUNCT
iajs-968	84	11	ψ	ψ	SYM
iajs-968	84	12	1	1	NUM
iajs-968	84	13	(	(	PUNCT
iajs-968	84	14	x1	x1	PROPN
iajs-968	84	15	,	,	PUNCT
iajs-968	84	16	x2	x2	PROPN
iajs-968	84	17	)	)	PUNCT
iajs-968	84	18	=	=	SYM
iajs-968	84	19	ф(x1	ф(x1	ADJ
iajs-968	84	20	)	)	PUNCT
iajs-968	84	21	ψ(x2	ψ(x2	NOUN
iajs-968	84	22	)	)	PUNCT
iajs-968	84	23	ψ	ψ	NOUN
iajs-968	84	24	2(x1	2(x1	NUM
iajs-968	84	25	,	,	PUNCT
iajs-968	84	26	x2	x2	NUM
iajs-968	84	27	)	)	PUNCT
iajs-968	84	28	=	=	SYM
iajs-968	84	29	ψ(x1	ψ(x1	NOUN
iajs-968	84	30	)	)	PUNCT
iajs-968	84	31	ф(x2	ф(x2	NOUN
iajs-968	84	32	)	)	PUNCT
iajs-968	84	33	ψ	ψ	X
iajs-968	84	34	3(x1	3(x1	NUM
iajs-968	84	35	,	,	PUNCT
iajs-968	84	36	x2	x2	PROPN
iajs-968	84	37	)	)	PUNCT
iajs-968	84	38	=	=	SYM
iajs-968	84	39	ψ(x1	ψ(x1	NOUN
iajs-968	84	40	)	)	PUNCT
iajs-968	84	41	ψ(x2	ψ(x2	NOUN
iajs-968	84	42	)	)	PUNCT
iajs-968	84	43	for	for	ADP
iajs-968	84	44	an	an	DET
iajs-968	84	45	accurate	accurate	ADJ
iajs-968	84	46	approximation	approximation	NOUN
iajs-968	84	47	,	,	PUNCT
iajs-968	84	48	all	all	DET
iajs-968	84	49	the	the	DET
iajs-968	84	50	four	four	NUM
iajs-968	84	51	basis	basis	NOUN
iajs-968	84	52	functions	function	NOUN
iajs-968	84	53	must	must	AUX
iajs-968	84	54	be	be	AUX
iajs-968	84	55	used	use	VERB
iajs-968	84	56	at	at	ADP
iajs-968	84	57	each	each	DET
iajs-968	84	58	hidden	hide	VERB
iajs-968	84	59	node	node	NOUN
iajs-968	84	60	.	.	PUNCT
iajs-968	85	1	kugarajah	kugarajah	PROPN
iajs-968	85	2	and	and	CCONJ
iajs-968	85	3	zhang	zhang	PROPN
iajs-968	85	4	have	have	AUX
iajs-968	85	5	shown	show	VERB
iajs-968	85	6	that	that	SCONJ
iajs-968	85	7	,	,	PUNCT
iajs-968	85	8	under	under	ADP
iajs-968	85	9	certain	certain	ADJ
iajs-968	85	10	conditions	condition	NOUN
iajs-968	85	11	,	,	PUNCT
iajs-968	85	12	a	a	DET
iajs-968	85	13	radial	radial	ADJ
iajs-968	85	14	basis	basis	NOUN
iajs-968	85	15	scaling	scale	VERB
iajs-968	85	16	function	function	NOUN
iajs-968	85	17	ф(	ф(	X
iajs-968	85	18	║	║	NOUN
iajs-968	85	19	x	x	SYM
iajs-968	85	20	xi	xi	ADP
iajs-968	85	21	║	║	NOUN
iajs-968	85	22	)	)	PUNCT
iajs-968	85	23	and	and	CCONJ
iajs-968	85	24	wavelet	wavelet	NOUN
iajs-968	85	25	ψ(	ψ(	PROPN
iajs-968	85	26	║	║	NOUN
iajs-968	85	27	x	x	ADJ
iajs-968	85	28	-	-	PUNCT
iajs-968	85	29	xi	xi	ADP
iajs-968	85	30	║	║	NOUN
iajs-968	85	31	)	)	PUNCT
iajs-968	85	32	constitute	constitute	NOUN
iajs-968	85	33	frame	frame	NOUN
iajs-968	85	34	,	,	PUNCT
iajs-968	85	35	and	and	CCONJ
iajs-968	85	36	that	that	SCONJ
iajs-968	85	37	these	these	DET
iajs-968	85	38	functions	function	NOUN
iajs-968	85	39	can	can	AUX
iajs-968	85	40	be	be	AUX
iajs-968	85	41	used	use	VERB
iajs-968	85	42	in	in	ADP
iajs-968	85	43	place	place	NOUN
iajs-968	85	44	of	of	ADP
iajs-968	85	45	the	the	DET
iajs-968	85	46	entire	entire	ADJ
iajs-968	85	47	n	n	CCONJ
iajs-968	85	48	-	-	PUNCT
iajs-968	85	49	dimensional	dimensional	ADJ
iajs-968	85	50	basis	basis	NOUN
iajs-968	85	51	,	,	PUNCT
iajs-968	85	52	resulting	result	VERB
iajs-968	85	53	in	in	ADP
iajs-968	85	54	a	a	DET
iajs-968	85	55	savings	saving	NOUN
iajs-968	85	56	in	in	ADP
iajs-968	85	57	storage	storage	NOUN
iajs-968	85	58	and	and	CCONJ
iajs-968	85	59	execution	execution	NOUN
iajs-968	85	60	time	time	NOUN
iajs-968	85	61	while	while	SCONJ
iajs-968	85	62	minimally	minimally	ADV
iajs-968	85	63	affecting	affect	VERB
iajs-968	85	64	the	the	DET
iajs-968	85	65	accuracy	accuracy	NOUN
iajs-968	85	66	of	of	ADP
iajs-968	85	67	the	the	DET
iajs-968	85	68	approximation	approximation	NOUN
iajs-968	85	69	.	.	PUNCT
iajs-968	86	1	the	the	DET
iajs-968	86	2	operation	operation	NOUN
iajs-968	86	3	of	of	ADP
iajs-968	86	4	wbfnn	wbfnn	NOUN
iajs-968	86	5	is	be	AUX
iajs-968	86	6	summarized	summarize	VERB
iajs-968	86	7	in	in	ADP
iajs-968	86	8	the	the	DET
iajs-968	86	9	following	follow	VERB
iajs-968	86	10	steps	step	NOUN
iajs-968	86	11	:	:	PUNCT
iajs-968	86	12	step	step	NOUN
iajs-968	86	13	1	1	NUM
iajs-968	86	14	.	.	PUNCT
iajs-968	86	15	basis	basis	NOUN
iajs-968	86	16	function	function	NOUN
iajs-968	86	17	selection	selection	NOUN
iajs-968	86	18	:	:	PUNCT
iajs-968	86	19	a	a	DET
iajs-968	86	20	significant	significant	ADJ
iajs-968	86	21	issue	issue	NOUN
iajs-968	86	22	in	in	ADP
iajs-968	86	23	wavelet	wavelet	NOUN
iajs-968	86	24	basis	basis	NOUN
iajs-968	86	25	function	function	NOUN
iajs-968	86	26	neural	neural	ADJ
iajs-968	86	27	networks	network	NOUN
iajs-968	86	28	is	be	AUX
iajs-968	86	29	the	the	DET
iajs-968	86	30	selection	selection	NOUN
iajs-968	86	31	of	of	ADP
iajs-968	86	32	the	the	DET
iajs-968	86	33	basis	basis	NOUN
iajs-968	86	34	functions	function	NOUN
iajs-968	86	35	.	.	PUNCT
iajs-968	87	1	the	the	DET
iajs-968	87	2	wavelet	wavelet	NOUN
iajs-968	87	3	family	family	NOUN
iajs-968	87	4	used	use	VERB
iajs-968	87	5	in	in	ADP
iajs-968	87	6	the	the	DET
iajs-968	87	7	wbfnn	wbfnn	NOUN
iajs-968	87	8	depends	depend	VERB
iajs-968	87	9	on	on	ADP
iajs-968	87	10	the	the	DET
iajs-968	87	11	form	form	NOUN
iajs-968	87	12	of	of	ADP
iajs-968	87	13	the	the	DET
iajs-968	87	14	function	function	NOUN
iajs-968	87	15	f	f	PROPN
iajs-968	87	16	that	that	PRON
iajs-968	87	17	must	must	AUX
iajs-968	87	18	be	be	AUX
iajs-968	87	19	reconstructed	reconstruct	VERB
iajs-968	87	20	.	.	PUNCT
iajs-968	88	1	even	even	ADV
iajs-968	88	2	though	though	SCONJ
iajs-968	88	3	this	this	DET
iajs-968	88	4	function	function	NOUN
iajs-968	88	5	is	be	AUX
iajs-968	88	6	usually	usually	ADV
iajs-968	88	7	unknown	unknown	ADJ
iajs-968	88	8	,	,	PUNCT
iajs-968	88	9	some	some	DET
iajs-968	88	10	important	important	ADJ
iajs-968	88	11	details	detail	NOUN
iajs-968	88	12	may	may	AUX
iajs-968	88	13	be	be	AUX
iajs-968	88	14	obtained	obtain	VERB
iajs-968	88	15	by	by	ADP
iajs-968	88	16	inspecting	inspect	VERB
iajs-968	88	17	the	the	DET
iajs-968	88	18	problem	problem	NOUN
iajs-968	88	19	at	at	ADP
iajs-968	88	20	hand	hand	NOUN
iajs-968	88	21	.	.	PUNCT
iajs-968	89	1	for	for	ADP
iajs-968	89	2	instance	instance	NOUN
iajs-968	89	3	,	,	PUNCT
iajs-968	89	4	classification	classification	NOUN
iajs-968	89	5	usually	usually	ADV
iajs-968	89	6	calls	call	VERB
iajs-968	89	7	for	for	ADP
iajs-968	89	8	a	a	DET
iajs-968	89	9	discontinuous	discontinuous	ADJ
iajs-968	89	10	or	or	CCONJ
iajs-968	89	11	quantized	quantize	VERB
iajs-968	89	12	function	function	NOUN
iajs-968	89	13	f	f	PROPN
iajs-968	89	14	where	where	SCONJ
iajs-968	89	15	all	all	DET
iajs-968	89	16	the	the	DET
iajs-968	89	17	input	input	NOUN
iajs-968	89	18	data	data	NOUN
iajs-968	89	19	is	be	AUX
iajs-968	89	20	to	to	PART
iajs-968	89	21	be	be	AUX
iajs-968	89	22	mapped	map	VERB
iajs-968	89	23	onto	onto	ADP
iajs-968	89	24	one	one	NUM
iajs-968	89	25	of	of	ADP
iajs-968	89	26	a	a	DET
iajs-968	89	27	few	few	ADJ
iajs-968	89	28	classes	class	NOUN
iajs-968	89	29	.	.	PUNCT
iajs-968	90	1	in	in	ADP
iajs-968	90	2	such	such	ADJ
iajs-968	90	3	cases	case	NOUN
iajs-968	90	4	,	,	PUNCT
iajs-968	90	5	discontinuous	discontinuous	ADJ
iajs-968	90	6	wavelets	wavelet	NOUN
iajs-968	90	7	,	,	PUNCT
iajs-968	90	8	may	may	AUX
iajs-968	90	9	be	be	AUX
iajs-968	90	10	used	use	VERB
iajs-968	90	11	.	.	PUNCT
iajs-968	91	1	continuous	continuous	ADJ
iajs-968	91	2	wavelets	wavelet	NOUN
iajs-968	91	3	may	may	AUX
iajs-968	91	4	be	be	AUX
iajs-968	91	5	used	use	VERB
iajs-968	91	6	to	to	PART
iajs-968	91	7	approximate	approximate	VERB
iajs-968	91	8	smoother	smooth	ADJ
iajs-968	91	9	functions	function	NOUN
iajs-968	91	10	.	.	PUNCT
iajs-968	92	1	step	step	NOUN
iajs-968	92	2	2	2	NUM
iajs-968	92	3	.	.	PUNCT
iajs-968	92	4	center	center	NOUN
iajs-968	92	5	selection	selection	NOUN
iajs-968	92	6	:	:	PUNCT
iajs-968	92	7	the	the	DET
iajs-968	92	8	location	location	NOUN
iajs-968	92	9	and	and	CCONJ
iajs-968	92	10	number	number	NOUN
iajs-968	92	11	of	of	ADP
iajs-968	92	12	basis	basis	NOUN
iajs-968	92	13	functions	function	NOUN
iajs-968	92	14	are	be	AUX
iajs-968	92	15	important	important	ADJ
iajs-968	92	16	since	since	SCONJ
iajs-968	92	17	they	they	PRON
iajs-968	92	18	determine	determine	VERB
iajs-968	92	19	the	the	DET
iajs-968	92	20	architecture	architecture	NOUN
iajs-968	92	21	of	of	ADP
iajs-968	92	22	the	the	DET
iajs-968	92	23	neural	neural	ADJ
iajs-968	92	24	network	network	NOUN
iajs-968	92	25	.	.	PUNCT
iajs-968	93	1	centers	center	NOUN
iajs-968	93	2	at	at	ADP
iajs-968	93	3	the	the	DET
iajs-968	93	4	first	first	ADJ
iajs-968	93	5	(	(	PUNCT
iajs-968	93	6	or	or	CCONJ
iajs-968	93	7	coarsest	coarse	ADJ
iajs-968	93	8	)	)	PUNCT
iajs-968	93	9	resolution	resolution	NOUN
iajs-968	93	10	are	be	AUX
iajs-968	93	11	selected	select	VERB
iajs-968	93	12	by	by	ADP
iajs-968	93	13	using	use	VERB
iajs-968	93	14	the	the	DET
iajs-968	93	15	k	k	ADJ
iajs-968	93	16	-	-	PUNCT
iajs-968	93	17	means	means	NOUN
iajs-968	93	18	algorithm	algorithm	NOUN
iajs-968	93	19	.	.	PUNCT
iajs-968	94	1	each	each	DET
iajs-968	94	2	center	center	NOUN
iajs-968	94	3	at	at	ADP
iajs-968	94	4	successive	successive	ADJ
iajs-968	94	5	resolutions	resolution	NOUN
iajs-968	94	6	is	be	AUX
iajs-968	94	7	computed	compute	VERB
iajs-968	94	8	as	as	ADP
iajs-968	94	9	the	the	DET
iajs-968	94	10	mean	mean	NOUN
iajs-968	94	11	of	of	ADP
iajs-968	94	12	two	two	NUM
iajs-968	94	13	centers	center	NOUN
iajs-968	94	14	at	at	ADP
iajs-968	94	15	a	a	DET
iajs-968	94	16	lower	low	ADJ
iajs-968	94	17	resolution	resolution	NOUN
iajs-968	94	18	.	.	PUNCT
iajs-968	95	1	ihjpas	ihjpa	VERB
iajs-968	95	2	ibn	ibn	PROPN
iajs-968	95	3	alhaitham	alhaitham	PROPN
iajs-968	96	1	j.	j.	PROPN
iajs-968	97	1	fo	fo	ADP
iajs-968	97	2	r	r	NOUN
iajs-968	97	3	pure	pure	ADJ
iajs-968	97	4	&	&	CCONJ
iajs-968	97	5	appl	appl	PROPN
iajs-968	97	6	.	.	PUNCT
iajs-968	98	1	sc	sc	PROPN
iajs-968	98	2	i.	i.	PROPN
iajs-968	98	3	vo	vo	PROPN
iajs-968	98	4	l.23	l.23	PROPN
iajs-968	98	5	(	(	PUNCT
iajs-968	98	6	2	2	NUM
iajs-968	98	7	)	)	PUNCT
iajs-968	98	8	2010	2010	NUM
iajs-968	98	9	step	step	NOUN
iajs-968	98	10	3	3	NUM
iajs-968	98	11	.	.	PUNCT
iajs-968	98	12	training	training	NOUN
iajs-968	98	13	:	:	PUNCT
iajs-968	98	14	training	train	VERB
iajs-968	98	15	the	the	DET
iajs-968	98	16	network	network	NOUN
iajs-968	98	17	involves	involve	VERB
iajs-968	98	18	determining	determine	VERB
iajs-968	98	19	the	the	DET
iajs-968	98	20	expansion	expansion	NOUN
iajs-968	98	21	coefficients	coefficient	NOUN
iajs-968	98	22	associated	associate	VERB
iajs-968	98	23	with	with	ADP
iajs-968	98	24	each	each	DET
iajs-968	98	25	resolution	resolution	NOUN
iajs-968	98	26	level	level	NOUN
iajs-968	98	27	.	.	PUNCT
iajs-968	99	1	these	these	DET
iajs-968	99	2	coefficients	coefficient	NOUN
iajs-968	99	3	are	be	AUX
iajs-968	99	4	determined	determine	VERB
iajs-968	99	5	by	by	ADP
iajs-968	99	6	using	use	VERB
iajs-968	99	7	a	a	DET
iajs-968	99	8	matrix	matrix	NOUN
iajs-968	99	9	inversion	inversion	NOUN
iajs-968	99	10	operation	operation	NOUN
iajs-968	99	11	,	,	PUNCT
iajs-968	99	12	similar	similar	ADJ
iajs-968	99	13	to	to	ADP
iajs-968	99	14	the	the	DET
iajs-968	99	15	operation	operation	NOUN
iajs-968	99	16	performed	perform	VERB
iajs-968	99	17	in	in	ADP
iajs-968	99	18	rbfnn	rbfnn	NOUN
iajs-968	99	19	.	.	PUNCT
iajs-968	100	1	the	the	DET
iajs-968	100	2	centers	center	NOUN
iajs-968	100	3	can	can	AUX
iajs-968	100	4	also	also	ADV
iajs-968	100	5	be	be	AUX
iajs-968	100	6	dynamically	dynamically	ADV
iajs-968	100	7	varied	varied	ADJ
iajs-968	100	8	during	during	ADP
iajs-968	100	9	the	the	DET
iajs-968	100	10	training	training	NOUN
iajs-968	100	11	process	process	NOUN
iajs-968	100	12	till	till	SCONJ
iajs-968	100	13	the	the	DET
iajs-968	100	14	error	error	NOUN
iajs-968	100	15	in	in	ADP
iajs-968	100	16	the	the	DET
iajs-968	100	17	network	network	NOUN
iajs-968	100	18	prediction	prediction	NOUN
iajs-968	100	19	falls	fall	VERB
iajs-968	100	20	below	below	ADP
iajs-968	100	21	a	a	DET
iajs-968	100	22	predetermined	predetermine	VERB
iajs-968	100	23	level	level	NOUN
iajs-968	100	24	.	.	PUNCT
iajs-968	101	1	over	over	ADP
iajs-968	101	2	-	-	PUNCT
iajs-968	101	3	fitting	fitting	NOUN
iajs-968	101	4	by	by	ADP
iajs-968	101	5	the	the	DET
iajs-968	101	6	network	network	NOUN
iajs-968	101	7	can	can	AUX
iajs-968	101	8	be	be	AUX
iajs-968	101	9	avoided	avoid	VERB
iajs-968	101	10	by	by	ADP
iajs-968	101	11	pruning	prune	VERB
iajs-968	101	12	the	the	DET
iajs-968	101	13	centers	center	NOUN
iajs-968	101	14	one	one	NUM
iajs-968	101	15	by	by	ADP
iajs-968	101	16	one	one	NUM
iajs-968	101	17	until	until	SCONJ
iajs-968	101	18	the	the	DET
iajs-968	101	19	network	network	NOUN
iajs-968	101	20	performs	perform	VERB
iajs-968	101	21	at	at	ADP
iajs-968	101	22	an	an	DET
iajs-968	101	23	acceptable	acceptable	ADJ
iajs-968	101	24	level	level	NOUN
iajs-968	101	25	on	on	ADP
iajs-968	101	26	a	a	DET
iajs-968	101	27	blind	blind	ADJ
iajs-968	101	28	test	test	NOUN
iajs-968	101	29	database	database	NOUN
iajs-968	101	30	.	.	PUNCT
iajs-968	102	1	in	in	ADP
iajs-968	102	2	this	this	DET
iajs-968	102	3	study	study	NOUN
iajs-968	102	4	however	however	ADV
iajs-968	102	5	,	,	PUNCT
iajs-968	102	6	no	no	DET
iajs-968	102	7	optimization	optimization	NOUN
iajs-968	102	8	is	be	AUX
iajs-968	102	9	performed	perform	VERB
iajs-968	102	10	after	after	ADP
iajs-968	102	11	center	center	NOUN
iajs-968	102	12	selection	selection	NOUN
iajs-968	102	13	.	.	PUNCT
iajs-968	103	1	step	step	NOUN
iajs-968	103	2	4	4	NUM
iajs-968	103	3	.	.	PUNCT
iajs-968	103	4	generalization	generalization	NOUN
iajs-968	103	5	:	:	PUNCT
iajs-968	103	6	in	in	ADP
iajs-968	103	7	this	this	DET
iajs-968	103	8	step	step	NOUN
iajs-968	103	9	,	,	PUNCT
iajs-968	103	10	the	the	DET
iajs-968	103	11	trained	train	VERB
iajs-968	103	12	wbfnn	wbfnn	NOUN
iajs-968	103	13	is	be	AUX
iajs-968	103	14	used	use	VERB
iajs-968	103	15	to	to	PART
iajs-968	103	16	predict	predict	VERB
iajs-968	103	17	the	the	DET
iajs-968	103	18	output	output	NOUN
iajs-968	103	19	for	for	ADP
iajs-968	103	20	a	a	DET
iajs-968	103	21	new	new	ADJ
iajs-968	103	22	test	test	NOUN
iajs-968	103	23	signal	signal	NOUN
iajs-968	103	24	using	use	VERB
iajs-968	103	25	(	(	PUNCT
iajs-968	103	26	3	3	NUM
iajs-968	103	27	)	)	PUNCT
iajs-968	103	28	.	.	PUNCT
iajs-968	104	1	4	4	X
iajs-968	104	2	.	.	X
iajs-968	104	3	applications	application	NOUN
iajs-968	104	4	4.1	4.1	NUM
iajs-968	104	5	.	.	PUNCT
iajs-968	105	1	ffnn	ffnn	NOUN
iajs-968	105	2	results	result	NOUN
iajs-968	105	3	using	use	VERB
iajs-968	105	4	rbfnn	rbfnn	NOUN
iajs-968	105	5	the	the	DET
iajs-968	105	6	rbfnn	rbfnn	NOUN
iajs-968	105	7	was	be	AUX
iajs-968	105	8	tested	test	VERB
iajs-968	105	9	using	use	VERB
iajs-968	105	10	a	a	DET
iajs-968	105	11	first	first	ADJ
iajs-968	105	12	order	order	NOUN
iajs-968	105	13	bessel	bessel	NOUN
iajs-968	105	14	function	function	VERB
iajs-968	105	15	j1(t	j1(t	PROPN
iajs-968	105	16	)	)	PUNCT
iajs-968	105	17	:	:	PUNCT
iajs-968	105	18	t	t	PROPN
iajs-968	105	19	2	2	NUM
iajs-968	105	20	y	y	PROPN
iajs-968	105	21	″	″	PROPN
iajs-968	105	22	+	+	CCONJ
iajs-968	105	23	t	t	PROPN
iajs-968	105	24	y	y	NOUN
iajs-968	105	25	′	′	NUM
iajs-968	106	1	+	+	CCONJ
iajs-968	106	2	(	(	PUNCT
iajs-968	106	3	t	t	PROPN
iajs-968	106	4	2	2	NUM
iajs-968	106	5	1	1	NUM
iajs-968	106	6	)	)	PUNCT
iajs-968	106	7	y	y	PROPN
iajs-968	106	8	=	=	SYM
iajs-968	106	9	0	0	PROPN
iajs-968	106	10	,	,	PUNCT
iajs-968	106	11	t	t	PROPN
iajs-968	106	12			NOUN
iajs-968	107	1	[	[	X
iajs-968	107	2	0	0	NUM
iajs-968	107	3	,	,	PUNCT
iajs-968	107	4	20	20	NUM
iajs-968	107	5	]	]	SYM
iajs-968	107	6	4.2	4.2	NUM
iajs-968	107	7	.	.	PUNCT
iajs-968	108	1	ffnn	ffnn	NOUN
iajs-968	108	2	results	result	NOUN
iajs-968	108	3	using	use	VERB
iajs-968	108	4	wbfnn	wbfnn	NOUN
iajs-968	108	5	two	two	NUM
iajs-968	108	6	resolution	resolution	NOUN
iajs-968	108	7	levels	level	NOUN
iajs-968	108	8	,	,	PUNCT
iajs-968	108	9	with	with	ADP
iajs-968	108	10	10	10	NUM
iajs-968	108	11	centers	center	NOUN
iajs-968	108	12	at	at	ADP
iajs-968	108	13	the	the	DET
iajs-968	108	14	coarsest	coarse	ADJ
iajs-968	108	15	resolution	resolution	NOUN
iajs-968	108	16	were	be	AUX
iajs-968	108	17	selected	select	VERB
iajs-968	108	18	using	use	VERB
iajs-968	108	19	the	the	DET
iajs-968	108	20	k	k	PROPN
iajs-968	108	21	-	-	ADJ
iajs-968	108	22	m	m	PROPN
iajs-968	108	23	eans	ean	NOUN
iajs-968	108	24	clustering	cluster	VERB
iajs-968	108	25	algorithm	algorithm	NOUN
iajs-968	108	26	.	.	PUNCT
iajs-968	109	1	no	no	DET
iajs-968	109	2	optimization	optimization	NOUN
iajs-968	109	3	was	be	AUX
iajs-968	109	4	performed	perform	VERB
iajs-968	109	5	after	after	ADP
iajs-968	109	6	center	center	ADJ
iajs-968	109	7	selection	selection	NOUN
iajs-968	109	8	to	to	PART
iajs-968	109	9	reduce	reduce	VERB
iajs-968	109	10	the	the	DET
iajs-968	109	11	number	number	NOUN
iajs-968	109	12	of	of	ADP
iajs-968	109	13	basis	basis	NOUN
iajs-968	109	14	functions	function	NOUN
iajs-968	109	15	used	use	VERB
iajs-968	109	16	.	.	PUNCT
iajs-968	110	1	the	the	DET
iajs-968	110	2	scaling	scale	VERB
iajs-968	110	3	function	function	NOUN
iajs-968	110	4	used	use	VERB
iajs-968	110	5	was	be	AUX
iajs-968	110	6	a	a	DET
iajs-968	110	7	gaussian	gaussian	ADJ
iajs-968	110	8	function	function	NOUN
iajs-968	110	9	:	:	PUNCT
iajs-968	110	10	ф	ф	X
iajs-968	110	11	(	(	PUNCT
iajs-968	110	12	x	x	INTJ
iajs-968	110	13	,	,	PUNCT
iajs-968	110	14	c	c	NOUN
iajs-968	110	15	)	)	PUNCT
iajs-968	110	16	=	=	SYM
iajs-968	111	1	exp(-	exp(-	NUM
iajs-968	111	2	║	║	NOUN
iajs-968	111	3	xc	xc	NOUN
iajs-968	111	4	║	║	NOUN
iajs-968	111	5	/	/	SYM
iajs-968	111	6	2σ	2σ	NUM
iajs-968	111	7	2	2	NUM
iajs-968	111	8	)	)	PUNCT
iajs-968	111	9	where	where	SCONJ
iajs-968	111	10	c	c	NOUN
iajs-968	111	11	and	and	CCONJ
iajs-968	111	12	σ	σ	PROPN
iajs-968	111	13	are	be	AUX
iajs-968	111	14	the	the	DET
iajs-968	111	15	center	center	NOUN
iajs-968	111	16	and	and	CCONJ
iajs-968	111	17	spread	spread	VERB
iajs-968	111	18	of	of	ADP
iajs-968	111	19	the	the	DET
iajs-968	111	20	scaling	scale	VERB
iajs-968	111	21	function	function	NOUN
iajs-968	111	22	,	,	PUNCT
iajs-968	111	23	respectively	respectively	ADV
iajs-968	111	24	.	.	PUNCT
iajs-968	112	1	the	the	DET
iajs-968	112	2	wavelet	wavelet	NOUN
iajs-968	112	3	functions	function	NOUN
iajs-968	112	4	:	:	PUNCT
iajs-968	112	5	ψ	ψ	X
iajs-968	112	6	(	(	PUNCT
iajs-968	112	7	x	x	INTJ
iajs-968	112	8	,	,	PUNCT
iajs-968	112	9	c	c	NOUN
iajs-968	112	10	)	)	PUNCT
iajs-968	112	11	=	=	SYM
iajs-968	112	12	(	(	PUNCT
iajs-968	112	13	(	(	PUNCT
iajs-968	112	14	1-	1-	X
iajs-968	112	15	║	║	NOUN
iajs-968	112	16	xc	xc	NOUN
iajs-968	112	17	║	║	NOUN
iajs-968	112	18	2	2	NUM
iajs-968	112	19	2	2	NUM
iajs-968	112	20	m	m	NOUN
iajs-968	112	21	)	)	PUNCT
iajs-968	112	22	/	/	PUNCT
iajs-968	113	1	2σ	2σ	NOUN
iajs-968	113	2	2	2	NUM
iajs-968	113	3	)	)	PUNCT
iajs-968	113	4	exp(-	exp(-	NUM
iajs-968	113	5	║	║	NOUN
iajs-968	113	6	x	x	NOUN
iajs-968	113	7	-	-	PUNCT
iajs-968	113	8	c	c	NOUN
iajs-968	113	9	║	║	NOUN
iajs-968	113	10	22	22	NUM
iajs-968	113	11	m	m	NOUN
iajs-968	113	12	/	/	SYM
iajs-968	113	13	2σ	2σ	NUM
iajs-968	113	14	2	2	NUM
iajs-968	113	15	)	)	PUNCT
iajs-968	113	16	.	.	PUNCT
iajs-968	114	1	where	where	SCONJ
iajs-968	114	2	c	c	NOUN
iajs-968	114	3	and	and	CCONJ
iajs-968	114	4	σ	σ	PROPN
iajs-968	114	5	are	be	AUX
iajs-968	114	6	the	the	DET
iajs-968	114	7	center	center	NOUN
iajs-968	114	8	and	and	CCONJ
iajs-968	114	9	spread	spread	VERB
iajs-968	114	10	of	of	ADP
iajs-968	114	11	the	the	DET
iajs-968	114	12	wavelet	wavelet	NOUN
iajs-968	114	13	function	function	NOUN
iajs-968	114	14	respectively	respectively	ADV
iajs-968	114	15	m	m	VERB
iajs-968	114	16	is	be	AUX
iajs-968	114	17	a	a	DET
iajs-968	114	18	parameter	parameter	NOUN
iajs-968	114	19	controlling	control	VERB
iajs-968	114	20	the	the	DET
iajs-968	114	21	dilation	dilation	NOUN
iajs-968	114	22	of	of	ADP
iajs-968	114	23	the	the	DET
iajs-968	114	24	wavelet	wavelet	NOUN
iajs-968	114	25	,	,	PUNCT
iajs-968	114	26	whose	whose	DET
iajs-968	114	27	value	value	NOUN
iajs-968	114	28	depends	depend	VERB
iajs-968	114	29	on	on	ADP
iajs-968	114	30	the	the	DET
iajs-968	114	31	resolution	resolution	NOUN
iajs-968	114	32	level	level	NOUN
iajs-968	114	33	.	.	PUNCT
iajs-968	115	1	figure	figure	NOUN
iajs-968	115	2	2	2	NUM
iajs-968	115	3	shows	show	VERB
iajs-968	115	4	the	the	DET
iajs-968	115	5	performance	performance	NOUN
iajs-968	115	6	of	of	ADP
iajs-968	115	7	the	the	DET
iajs-968	115	8	wbfnn	wbfnn	NOUN
iajs-968	115	9	as	as	ADP
iajs-968	115	10	a	a	DET
iajs-968	115	11	forward	forward	ADJ
iajs-968	115	12	model	model	NOUN
iajs-968	115	13	comparing	compare	VERB
iajs-968	115	14	the	the	DET
iajs-968	115	15	results	result	NOUN
iajs-968	115	16	in	in	ADP
iajs-968	115	17	figures1and	figures1and	NOUN
iajs-968	115	18	2	2	NUM
iajs-968	115	19	,	,	PUNCT
iajs-968	115	20	we	we	PRON
iajs-968	115	21	see	see	VERB
iajs-968	115	22	that	that	SCONJ
iajs-968	115	23	the	the	DET
iajs-968	115	24	wbfnn	wbfnn	NOUN
iajs-968	115	25	is	be	AUX
iajs-968	115	26	a	a	DET
iajs-968	115	27	better	well	ADJ
iajs-968	115	28	forward	forward	ADJ
iajs-968	115	29	model	model	NOUN
iajs-968	115	30	than	than	ADP
iajs-968	115	31	the	the	DET
iajs-968	115	32	rbfnn	rbfnn	NOUN
iajs-968	115	33	and	and	CCONJ
iajs-968	115	34	the	the	DET
iajs-968	115	35	error	error	NOUN
iajs-968	115	36	surface	surface	NOUN
iajs-968	115	37	can	can	AUX
iajs-968	115	38	be	be	AUX
iajs-968	115	39	illustrated	illustrate	VERB
iajs-968	115	40	by	by	ADP
iajs-968	115	41	figure	figure	NOUN
iajs-968	115	42	3	3	NUM
iajs-968	115	43	.	.	PROPN
iajs-968	115	44	4.3	4.3	NUM
iajs-968	115	45	.	.	PUNCT
iajs-968	116	1	comparing	compare	VERB
iajs-968	116	2	of	of	ADP
iajs-968	116	3	performance	performance	NOUN
iajs-968	116	4	rbfnn	rbfnn	NOUN
iajs-968	116	5	and	and	CCONJ
iajs-968	116	6	wbfnn	wbfnn	NOUN
iajs-968	116	7	.	.	PUNCT
iajs-968	117	1	ffnn	ffnn	NOUN
iajs-968	117	2	was	be	AUX
iajs-968	117	3	tested	test	VERB
iajs-968	117	4	using	use	VERB
iajs-968	117	5	van	van	PROPN
iajs-968	117	6	der	der	ADJ
iajs-968	117	7	pol	pol	NOUN
iajs-968	117	8	equation	equation	NOUN
iajs-968	117	9	:	:	PUNCT
iajs-968	117	10	x″	x″	PROPN
iajs-968	118	1	+	+	CCONJ
iajs-968	118	2	(	(	PUNCT
iajs-968	118	3	x	x	SYM
iajs-968	118	4	2	2	NUM
iajs-968	118	5	–	–	SYM
iajs-968	118	6	1	1	NUM
iajs-968	118	7	)	)	PUNCT
iajs-968	118	8	x′	x′	PROPN
iajs-968	119	1	+	+	PUNCT
iajs-968	119	2	x	x	SYM
iajs-968	119	3	=	=	SYM
iajs-968	119	4	0	0	NUM
iajs-968	119	5	,	,	PUNCT
iajs-968	119	6	x1(0	x1(0	PROPN
iajs-968	119	7	)	)	PUNCT
iajs-968	119	8	=	=	SYM
iajs-968	119	9	1	1	X
iajs-968	119	10	,	,	PUNCT
iajs-968	119	11	x2(0	x2(0	PROPN
iajs-968	119	12	)	)	PUNCT
iajs-968	119	13	=	=	SYM
iajs-968	120	1	1use	1use	NUM
iajs-968	120	2	rbfnn	rbfnn	NOUN
iajs-968	120	3	and	and	CCONJ
iajs-968	120	4	wbfnn	wbfnn	NOUN
iajs-968	120	5	with	with	ADP
iajs-968	120	6	σ	σ	PROPN
iajs-968	120	7	=	=	NOUN
iajs-968	120	8	0.01	0.01	NUM
iajs-968	120	9	5	5	NUM
iajs-968	120	10	.	.	PUNCT
iajs-968	120	11	conclusions	conclusion	NOUN
iajs-968	120	12	and	and	CCONJ
iajs-968	120	13	future	future	ADJ
iajs-968	120	14	work	work	NOUN
iajs-968	120	15	this	this	DET
iajs-968	120	16	study	study	NOUN
iajs-968	120	17	proposed	propose	VERB
iajs-968	120	18	the	the	DET
iajs-968	120	19	use	use	NOUN
iajs-968	120	20	of	of	ADP
iajs-968	120	21	ann	ann	PROPN
iajs-968	120	22	based	base	VERB
iajs-968	120	23	forward	forward	NOUN
iajs-968	120	24	models	model	NOUN
iajs-968	120	25	in	in	ADP
iajs-968	120	26	iterative	iterative	ADJ
iajs-968	120	27	algorithms	algorithm	NOUN
iajs-968	120	28	used	use	VERB
iajs-968	120	29	for	for	ADP
iajs-968	120	30	solving	solve	VERB
iajs-968	120	31	multivariate	multivariate	NOUN
iajs-968	120	32	function	function	NOUN
iajs-968	120	33	approximation	approximation	NOUN
iajs-968	120	34	problems	problem	NOUN
iajs-968	120	35	.	.	PUNCT
iajs-968	121	1	two	two	NUM
iajs-968	121	2	different	different	ADJ
iajs-968	121	3	types	type	NOUN
iajs-968	121	4	of	of	ADP
iajs-968	121	5	neural	neural	ADJ
iajs-968	121	6	networks	network	NOUN
iajs-968	121	7	rbfnn	rbfnn	NOUN
iajs-968	121	8	and	and	CCONJ
iajs-968	121	9	wbfnn	wbfnn	NOUN
iajs-968	121	10	used	use	VERB
iajs-968	121	11	to	to	PART
iajs-968	121	12	represent	represent	VERB
iajs-968	121	13	the	the	DET
iajs-968	121	14	forward	forward	ADJ
iajs-968	121	15	model	model	NOUN
iajs-968	121	16	.	.	PUNCT
iajs-968	122	1	these	these	DET
iajs-968	122	2	forward	forward	ADJ
iajs-968	122	3	models	model	NOUN
iajs-968	122	4	were	be	AUX
iajs-968	122	5	used	use	VERB
iajs-968	122	6	,	,	PUNCT
iajs-968	122	7	in	in	ADP
iajs-968	122	8	iterative	iterative	NOUN
iajs-968	122	9	scheme	scheme	NOUN
iajs-968	122	10	,	,	PUNCT
iajs-968	122	11	or	or	CCONJ
iajs-968	122	12	in	in	ADP
iajs-968	122	13	combination	combination	NOUN
iajs-968	122	14	with	with	ADP
iajs-968	122	15	an	an	DET
iajs-968	122	16	inverse	inverse	NOUN
iajs-968	122	17	model	model	NOUN
iajs-968	122	18	in	in	ADP
iajs-968	122	19	feedback	feedback	NOUN
iajs-968	122	20	configuration	configuration	NOUN
iajs-968	122	21	,	,	PUNCT
iajs-968	122	22	to	to	PART
iajs-968	122	23	solve	solve	VERB
iajs-968	122	24	the	the	DET
iajs-968	122	25	inverse	inverse	NOUN
iajs-968	122	26	problem	problem	NOUN
iajs-968	122	27	.	.	PUNCT
iajs-968	123	1	this	this	DET
iajs-968	123	2	type	type	NOUN
iajs-968	123	3	of	of	ADP
iajs-968	123	4	ffnn	ffnn	NOUN
iajs-968	123	5	consists	consist	VERB
iajs-968	123	6	offers	offer	VERB
iajs-968	123	7	several	several	ADJ
iajs-968	123	8	advantages	advantage	NOUN
iajs-968	123	9	over	over	ADP
iajs-968	123	10	numerical	numerical	ADJ
iajs-968	123	11	models	model	NOUN
iajs-968	123	12	in	in	ADP
iajs-968	123	13	terms	term	NOUN
iajs-968	123	14	of	of	ADP
iajs-968	123	15	both	both	DET
iajs-968	123	16	implementation	implementation	NOUN
iajs-968	123	17	of	of	ADP
iajs-968	123	18	gradient	gradient	ADJ
iajs-968	123	19	calculations	calculation	NOUN
iajs-968	123	20	in	in	ADP
iajs-968	123	21	the	the	DET
iajs-968	123	22	updates	update	NOUN
iajs-968	123	23	of	of	ADP
iajs-968	123	24	the	the	DET
iajs-968	123	25	parameters	parameter	NOUN
iajs-968	123	26	and	and	CCONJ
iajs-968	123	27	overall	overall	ADJ
iajs-968	123	28	computational	computational	ADJ
iajs-968	123	29	cost	cost	NOUN
iajs-968	123	30	.	.	PUNCT
iajs-968	124	1	one	one	NUM
iajs-968	124	2	drawback	drawback	NOUN
iajs-968	124	3	of	of	ADP
iajs-968	124	4	these	these	DET
iajs-968	124	5	approaches	approach	NOUN
iajs-968	124	6	is	be	AUX
iajs-968	124	7	that	that	SCONJ
iajs-968	124	8	the	the	DET
iajs-968	124	9	forward	forward	ADJ
iajs-968	124	10	models	model	NOUN
iajs-968	124	11	are	be	AUX
iajs-968	124	12	not	not	PART
iajs-968	124	13	accurate	accurate	ADJ
iajs-968	124	14	when	when	SCONJ
iajs-968	124	15	the	the	DET
iajs-968	124	16	input	input	NOUN
iajs-968	124	17	signals	signal	NOUN
iajs-968	124	18	are	be	AUX
iajs-968	124	19	not	not	PART
iajs-968	124	20	similar	similar	ADJ
iajs-968	124	21	to	to	ADP
iajs-968	124	22	those	those	PRON
iajs-968	124	23	used	use	VERB
iajs-968	124	24	in	in	ADP
iajs-968	124	25	the	the	DET
iajs-968	124	26	training	training	NOUN
iajs-968	124	27	database	database	NOUN
iajs-968	124	28	.	.	PUNCT
iajs-968	125	1	from	from	ADP
iajs-968	125	2	all	all	PRON
iajs-968	125	3	above	above	ADV
iajs-968	125	4	study	study	VERB
iajs-968	125	5	the	the	DET
iajs-968	125	6	results	result	NOUN
iajs-968	125	7	of	of	ADP
iajs-968	125	8	applying	apply	VERB
iajs-968	125	9	the	the	DET
iajs-968	125	10	ffnn	ffnn	NOUN
iajs-968	125	11	to	to	PART
iajs-968	125	12	oneand	oneand	VERB
iajs-968	125	13	two	two	NUM
iajs-968	125	14	-	-	PUNCT
iajs-968	125	15	dimensional	dimensional	ADJ
iajs-968	125	16	problems	problem	NOUN
iajs-968	125	17	were	be	AUX
iajs-968	125	18	presented	present	VERB
iajs-968	125	19	.	.	PUNCT
iajs-968	126	1	also	also	ADV
iajs-968	126	2	we	we	PRON
iajs-968	126	3	study	study	VERB
iajs-968	126	4	the	the	DET
iajs-968	126	5	comparison	comparison	NOUN
iajs-968	126	6	between	between	ADP
iajs-968	126	7	rbfnn	rbfnn	NOUN
iajs-968	126	8	and	and	CCONJ
iajs-968	126	9	wbfnn	wbfnn	NOUN
iajs-968	126	10	to	to	PART
iajs-968	126	11	obtain	obtain	VERB
iajs-968	126	12	better	well	ADJ
iajs-968	126	13	results	result	NOUN
iajs-968	126	14	.	.	PUNCT
iajs-968	127	1	in	in	ADP
iajs-968	127	2	general	general	ADJ
iajs-968	127	3	,	,	PUNCT
iajs-968	127	4	our	our	PRON
iajs-968	127	5	numerical	numerical	ADJ
iajs-968	127	6	result	result	NOUN
iajs-968	127	7	shows	show	VERB
iajs-968	127	8	that	that	SCONJ
iajs-968	127	9	it	it	PRON
iajs-968	127	10	is	be	AUX
iajs-968	127	11	difficult	difficult	ADJ
iajs-968	127	12	to	to	PART
iajs-968	127	13	rbfnn	rbfnn	VERB
iajs-968	127	14	specify	specify	VERB
iajs-968	127	15	which	which	DET
iajs-968	127	16	algorithms	algorithm	NOUN
iajs-968	127	17	will	will	AUX
iajs-968	127	18	converge	converge	VERB
iajs-968	127	19	faster	fast	ADV
iajs-968	127	20	.	.	PUNCT
iajs-968	128	1	1for	1for	NOUN
iajs-968	128	2	the	the	DET
iajs-968	128	3	large	large	ADJ
iajs-968	128	4	problem	problem	NOUN
iajs-968	128	5	we	we	PRON
iajs-968	128	6	treat	treat	VERB
iajs-968	128	7	,	,	PUNCT
iajs-968	128	8	we	we	PRON
iajs-968	128	9	recommend	recommend	VERB
iajs-968	128	10	that	that	PRON
iajs-968	128	11	:	:	PUNCT
iajs-968	128	12	try	try	VERB
iajs-968	128	13	first	first	ADV
iajs-968	128	14	the	the	DET
iajs-968	128	15	rbfnn	rbfnn	NOUN
iajs-968	128	16	.	.	PUNCT
iajs-968	129	1	2our	2our	NUM
iajs-968	129	2	numerical	numerical	ADJ
iajs-968	129	3	results	result	NOUN
iajs-968	129	4	shows	show	VERB
iajs-968	129	5	that	that	SCONJ
iajs-968	129	6	,	,	PUNCT
iajs-968	129	7	in	in	ADP
iajs-968	129	8	approximation	approximation	NOUN
iajs-968	129	9	of	of	ADP
iajs-968	129	10	the	the	DET
iajs-968	129	11	numerical	numerical	ADJ
iajs-968	129	12	solution	solution	NOUN
iajs-968	129	13	of	of	ADP
iajs-968	129	14	ode	ode	PROPN
iajs-968	129	15	or	or	CCONJ
iajs-968	129	16	pde	pde	NOUN
iajs-968	129	17	using	use	VERB
iajs-968	129	18	rbfnn	rbfnn	NOUN
iajs-968	129	19	gives	give	VERB
iajs-968	129	20	better	well	ADJ
iajs-968	129	21	accuracy	accuracy	NOUN
iajs-968	129	22	than	than	ADP
iajs-968	129	23	using	use	VERB
iajs-968	129	24	rbfnn	rbfnn	NOUN
iajs-968	129	25	for	for	ADP
iajs-968	129	26	small	small	ADJ
iajs-968	129	27	dimensional	dimensional	ADJ
iajs-968	129	28	problems	problem	NOUN
iajs-968	129	29	.	.	PUNCT
iajs-968	130	1	ihjpas	ihjpa	VERB
iajs-968	130	2	ibn	ibn	PROPN
iajs-968	130	3	alhaitham	alhaitham	PROPN
iajs-968	131	1	j.	j.	PROPN
iajs-968	132	1	fo	fo	ADP
iajs-968	132	2	r	r	NOUN
iajs-968	132	3	pure	pure	ADJ
iajs-968	132	4	&	&	CCONJ
iajs-968	132	5	appl	appl	PROPN
iajs-968	132	6	.	.	PUNCT
iajs-968	133	1	sc	sc	PROPN
iajs-968	133	2	i.	i.	PROPN
iajs-968	133	3	vo	vo	PROPN
iajs-968	134	1	l.23	l.23	PROPN
iajs-968	134	2	(	(	PUNCT
iajs-968	134	3	2	2	NUM
iajs-968	134	4	)	)	PUNCT
iajs-968	134	5	2010	2010	NUM
iajs-968	134	6	3the	3the	NUM
iajs-968	134	7	approximation	approximation	NOUN
iajs-968	134	8	of	of	ADP
iajs-968	134	9	function	function	NOUN
iajs-968	134	10	offers	offer	VERB
iajs-968	134	11	the	the	DET
iajs-968	134	12	alternative	alternative	ADJ
iajs-968	134	13	approach	approach	NOUN
iajs-968	134	14	of	of	ADP
iajs-968	134	15	adopting	adopt	VERB
iajs-968	134	16	a	a	DET
iajs-968	134	17	general	general	ADJ
iajs-968	134	18	purpose	purpose	NOUN
iajs-968	134	19	optimization	optimization	NOUN
iajs-968	134	20	method	method	NOUN
iajs-968	134	21	to	to	PART
iajs-968	134	22	solve	solve	VERB
iajs-968	134	23	the	the	DET
iajs-968	134	24	relevant	relevant	ADJ
iajs-968	134	25	non	non	ADJ
iajs-968	134	26	linear	linear	PROPN
iajs-968	134	27	approximation	approximation	NOUN
iajs-968	134	28	problem	problem	NOUN
iajs-968	134	29	in	in	ADP
iajs-968	134	30	feed	feed	NOUN
iajs-968	134	31	forward	forward	ADV
iajs-968	134	32	propagation	propagation	NOUN
iajs-968	134	33	procedures	procedure	NOUN
iajs-968	134	34	.	.	PUNCT
iajs-968	135	1	4for	4for	NUM
iajs-968	135	2	high	high	ADJ
iajs-968	135	3	-	-	PUNCT
iajs-968	135	4	dimensional	dimensional	ADJ
iajs-968	135	5	problems	problem	NOUN
iajs-968	135	6	,	,	PUNCT
iajs-968	135	7	rbfnn	rbfnn	NOUN
iajs-968	135	8	are	be	AUX
iajs-968	135	9	potentially	potentially	ADV
iajs-968	135	10	valuable	valuable	ADJ
iajs-968	135	11	,	,	PUNCT
iajs-968	135	12	since	since	SCONJ
iajs-968	135	13	they	they	PRON
iajs-968	135	14	may	may	AUX
iajs-968	135	15	be	be	AUX
iajs-968	135	16	based	base	VERB
iajs-968	135	17	on	on	ADP
iajs-968	135	18	a	a	DET
iajs-968	135	19	limited	limited	ADJ
iajs-968	135	20	number	number	NOUN
iajs-968	135	21	of	of	ADP
iajs-968	135	22	centers	center	NOUN
iajs-968	135	23	,	,	PUNCT
iajs-968	135	24	which	which	PRON
iajs-968	135	25	do	do	AUX
iajs-968	135	26	not	not	PART
iajs-968	135	27	have	have	VERB
iajs-968	135	28	to	to	PART
iajs-968	135	29	be	be	AUX
iajs-968	135	30	placed	place	VERB
iajs-968	135	31	on	on	ADP
iajs-968	135	32	a	a	DET
iajs-968	135	33	grid	grid	NOUN
iajs-968	135	34	throughout	throughout	ADP
iajs-968	135	35	the	the	DET
iajs-968	135	36	domain	domain	NOUN
iajs-968	135	37	.	.	PUNCT
iajs-968	136	1	another	another	DET
iajs-968	136	2	issue	issue	NOUN
iajs-968	136	3	that	that	PRON
iajs-968	136	4	needs	need	VERB
iajs-968	136	5	to	to	PART
iajs-968	136	6	be	be	AUX
iajs-968	136	7	examined	examine	VERB
iajs-968	136	8	in	in	ADP
iajs-968	136	9	future	future	ADJ
iajs-968	136	10	work	work	NOUN
iajs-968	136	11	is	be	AUX
iajs-968	136	12	related	relate	VERB
iajs-968	136	13	with	with	ADP
iajs-968	136	14	the	the	DET
iajs-968	136	15	sampling	sampling	NOUN
iajs-968	136	16	of	of	ADP
iajs-968	136	17	the	the	DET
iajs-968	136	18	grid	grid	NOUN
iajs-968	136	19	points	point	NOUN
iajs-968	136	20	that	that	PRON
iajs-968	136	21	are	be	AUX
iajs-968	136	22	used	use	VERB
iajs-968	136	23	for	for	ADP
iajs-968	136	24	training	training	NOUN
iajs-968	136	25	.	.	PUNCT
iajs-968	137	1	in	in	ADP
iajs-968	137	2	the	the	DET
iajs-968	137	3	above	above	ADJ
iajs-968	137	4	experiments	experiment	NOUN
iajs-968	137	5	the	the	DET
iajs-968	137	6	grid	grid	NOUN
iajs-968	137	7	was	be	AUX
iajs-968	137	8	constructed	construct	VERB
iajs-968	137	9	in	in	ADP
iajs-968	137	10	a	a	DET
iajs-968	137	11	simple	simple	ADJ
iajs-968	137	12	way	way	NOUN
iajs-968	137	13	by	by	ADP
iajs-968	137	14	considering	consider	VERB
iajs-968	137	15	equidistant	equidistant	ADJ
iajs-968	137	16	points	point	NOUN
iajs-968	137	17	.	.	PUNCT
iajs-968	138	1	it	it	PRON
iajs-968	138	2	is	be	AUX
iajs-968	138	3	expected	expect	VERB
iajs-968	138	4	that	that	SCONJ
iajs-968	138	5	better	well	ADJ
iajs-968	138	6	results	result	NOUN
iajs-968	138	7	will	will	AUX
iajs-968	138	8	be	be	AUX
iajs-968	138	9	obtained	obtain	VERB
iajs-968	138	10	in	in	ADP
iajs-968	138	11	the	the	DET
iajs-968	138	12	case	case	NOUN
iajs-968	138	13	where	where	SCONJ
iajs-968	138	14	the	the	DET
iajs-968	138	15	grid	grid	NOUN
iajs-968	138	16	density	density	NOUN
iajs-968	138	17	will	will	AUX
iajs-968	138	18	vary	vary	VERB
iajs-968	138	19	during	during	ADP
iajs-968	138	20	training	training	NOUN
iajs-968	138	21	according	accord	VERB
iajs-968	138	22	to	to	ADP
iajs-968	138	23	the	the	DET
iajs-968	138	24	corresponding	corresponding	ADJ
iajs-968	138	25	error	error	NOUN
iajs-968	138	26	values	value	NOUN
iajs-968	138	27	.	.	PUNCT
iajs-968	139	1	this	this	PRON
iajs-968	139	2	means	mean	VERB
iajs-968	139	3	that	that	SCONJ
iajs-968	139	4	it	it	PRON
iajs-968	139	5	is	be	AUX
iajs-968	139	6	possible	possible	ADJ
iajs-968	139	7	to	to	PART
iajs-968	139	8	consider	consider	VERB
iajs-968	139	9	more	more	ADJ
iajs-968	139	10	training	training	NOUN
iajs-968	139	11	points	point	NOUN
iajs-968	139	12	at	at	ADP
iajs-968	139	13	regions	region	NOUN
iajs-968	139	14	where	where	SCONJ
iajs-968	139	15	the	the	DET
iajs-968	139	16	error	error	NOUN
iajs-968	139	17	values	value	NOUN
iajs-968	139	18	are	be	AUX
iajs-968	139	19	higher	high	ADJ
iajs-968	139	20	.	.	PUNCT
iajs-968	140	1	developing	develop	VERB
iajs-968	140	2	an	an	DET
iajs-968	140	3	upper	upper	ADJ
iajs-968	140	4	bound	bind	VERB
iajs-968	140	5	for	for	ADP
iajs-968	140	6	the	the	DET
iajs-968	140	7	error	error	NOUN
iajs-968	140	8	║	║	AUX
iajs-968	140	9			NOUN
iajs-968	140	10	t(x	t(x	PROPN
iajs-968	140	11	)	)	PUNCT
iajs-968	140	12			NOUN
iajs-968	140	13	a(x)||	a(x)||	PROPN
iajs-968	140	14			NOUN
iajs-968	140	15	o(m	o(m	NUM
iajs-968	140	16	)	)	PUNCT
iajs-968	140	17	,	,	PUNCT
iajs-968	140	18	require	require	VERB
iajs-968	140	19	further	further	ADJ
iajs-968	140	20	study	study	NOUN
iajs-968	140	21	,	,	PUNCT
iajs-968	140	22	where	where	SCONJ
iajs-968	140	23	m	m	NOUN
iajs-968	140	24	is	be	AUX
iajs-968	140	25	the	the	DET
iajs-968	140	26	number	number	NOUN
iajs-968	140	27	of	of	ADP
iajs-968	140	28	basis	basis	NOUN
iajs-968	140	29	function	function	NOUN
iajs-968	140	30	and	and	CCONJ
iajs-968	140	31			NOUN
iajs-968	140	32	is	be	AUX
iajs-968	140	33	the	the	DET
iajs-968	140	34	dimension	dimension	NOUN
iajs-968	140	35	of	of	ADP
iajs-968	140	36	the	the	DET
iajs-968	140	37	domain	domain	NOUN
iajs-968	140	38	.	.	PUNCT
iajs-968	141	1	as	as	ADP
iajs-968	141	2	the	the	DET
iajs-968	141	3	dimensionality	dimensionality	NOUN
iajs-968	141	4	increases	increase	NOUN
iajs-968	141	5	,	,	PUNCT
iajs-968	141	6	the	the	DET
iajs-968	141	7	number	number	NOUN
iajs-968	141	8	of	of	ADP
iajs-968	141	9	training	training	NOUN
iajs-968	141	10	points	point	NOUN
iajs-968	141	11	becomes	become	VERB
iajs-968	141	12	large	large	ADJ
iajs-968	141	13	.	.	PUNCT
iajs-968	142	1	this	this	DET
iajs-968	142	2	fact	fact	NOUN
iajs-968	142	3	becomes	become	VERB
iajs-968	142	4	a	a	DET
iajs-968	142	5	serious	serious	ADJ
iajs-968	142	6	problem	problem	NOUN
iajs-968	142	7	for	for	ADP
iajs-968	142	8	methods	method	NOUN
iajs-968	142	9	that	that	PRON
iajs-968	142	10	consider	consider	VERB
iajs-968	142	11	local	local	ADJ
iajs-968	142	12	functions	function	NOUN
iajs-968	142	13	around	around	ADP
iajs-968	142	14	each	each	DET
iajs-968	142	15	grid	grid	NOUN
iajs-968	142	16	point	point	NOUN
iajs-968	142	17	since	since	SCONJ
iajs-968	142	18	the	the	DET
iajs-968	142	19	required	require	VERB
iajs-968	142	20	number	number	NOUN
iajs-968	142	21	of	of	ADP
iajs-968	142	22	parameters	parameter	NOUN
iajs-968	142	23	becomes	become	VERB
iajs-968	142	24	excessively	excessively	ADV
iajs-968	142	25	large	large	ADJ
iajs-968	142	26	and	and	CCONJ
iajs-968	142	27	,	,	PUNCT
iajs-968	142	28	therefore	therefore	ADV
iajs-968	142	29	,	,	PUNCT
iajs-968	142	30	both	both	DET
iajs-968	142	31	memory	memory	NOUN
iajs-968	142	32	and	and	CCONJ
iajs-968	142	33	computation	computation	NOUN
iajs-968	142	34	time	time	NOUN
iajs-968	142	35	requirements	requirement	NOUN
iajs-968	142	36	become	become	VERB
iajs-968	142	37	extremely	extremely	ADV
iajs-968	142	38	high	high	ADJ
iajs-968	142	39	,	,	PUNCT
iajs-968	142	40	and	and	CCONJ
iajs-968	142	41	require	require	VERB
iajs-968	142	42	further	further	ADJ
iajs-968	142	43	study	study	NOUN
iajs-968	142	44	.	.	PUNCT
iajs-968	143	1	references	reference	NOUN
iajs-968	143	2	1	1	NUM
iajs-968	143	3	.	.	X
iajs-968	143	4	atalla	atalla	PROPN
iajs-968	143	5	,	,	PUNCT
iajs-968	143	6	.j	.j	PROPN
iajs-968	143	7	.	.	PUNCT
iajs-968	143	8	,	,	PUNCT
iajs-968	143	9	1996	1996	NUM
iajs-968	143	10	m	m	NOUN
iajs-968	143	11	odel	odel	PROPN
iajs-968	143	12	updating	update	VERB
iajs-968	143	13	using	use	VERB
iajs-968	143	14	neural	neural	ADJ
iajs-968	143	15	networks	network	NOUN
iajs-968	143	16	,	,	PUNCT
iajs-968	143	17	ph.d	ph.d	PROPN
iajs-968	143	18	.	.	PUNCT
iajs-968	144	1	thesis	thesis	PROPN
iajs-968	144	2	,	,	PUNCT
iajs-968	144	3	virginia	virginia	PROPN
iajs-968	144	4	polytechnic	polytechnic	PROPN
iajs-968	144	5	institute	institute	PROPN
iajs-968	144	6	and	and	CCONJ
iajs-968	144	7	state	state	PROPN
iajs-968	144	8	university	university	PROPN
iajs-968	144	9	,	,	PUNCT
iajs-968	144	10	.	.	PUNCT
iajs-968	145	1	2	2	X
iajs-968	145	2	.	.	X
iajs-968	145	3	cheney	cheney	PROPN
iajs-968	145	4	,	,	PUNCT
iajs-968	145	5	.e	.e	PROPN
iajs-968	145	6	.	.	PUNCT
iajs-968	146	1	w.	w.	PROPN
iajs-968	146	2	and	and	CCONJ
iajs-968	146	3	light	light	NOUN
iajs-968	146	4	,	,	PUNCT
iajs-968	146	5	w.	w.	NOUN
iajs-968	146	6	,	,	PUNCT
iajs-968	146	7	2000	2000	NUM
iajs-968	146	8	.	.	PUNCT
iajs-968	147	1	course	course	NOUN
iajs-968	147	2	in	in	ADP
iajs-968	147	3	approximation	approximation	NOUN
iajs-968	147	4	theory	theory	NOUN
iajs-968	147	5	,	,	PUNCT
iajs-968	147	6	pub	pub	NOUN
iajs-968	147	7	.	.	PUNCT
iajs-968	147	8	books	book	NOUN
iajs-968	147	9	,	,	PUNCT
iajs-968	147	10	colepub	colepub	NOUN
iajs-968	147	11	.	.	PUNCT
iajs-968	148	1	company	company	NOUN
iajs-968	148	2	,	,	PUNCT
iajs-968	148	3	.	.	PUNCT
iajs-968	149	1	3	3	X
iajs-968	149	2	.	.	X
iajs-968	149	3	al	al	PROPN
iajs-968	149	4	-	-	PUNCT
iajs-968	149	5	mosawi	mosawi	PROPN
iajs-968	149	6	,	,	PUNCT
iajs-968	149	7	a.	a.	PROPN
iajs-968	149	8	k.	k.	PROPN
iajs-968	149	9	,	,	PUNCT
iajs-968	149	10	2009	2009	NUM
iajs-968	149	11	on	on	ADP
iajs-968	149	12	training	training	NOUN
iajs-968	149	13	of	of	ADP
iajs-968	149	14	feed	feed	NOUN
iajs-968	149	15	forward	forward	ADV
iajs-968	149	16	neural	neural	ADJ
iajs-968	149	17	networks	network	NOUN
iajs-968	149	18	for	for	ADP
iajs-968	149	19	approximation	approximation	NOUN
iajs-968	149	20	problems	problem	NOUN
iajs-968	149	21	,	,	PUNCT
iajs-968	149	22	m	m	VERB
iajs-968	149	23	sc	sc	NOUN
iajs-968	149	24	thesis	thesis	NOUN
iajs-968	149	25	,	,	PUNCT
iajs-968	149	26	department	department	NOUN
iajs-968	149	27	of	of	ADP
iajs-968	149	28	mathematics	mathematics	PROPN
iajs-968	149	29	,	,	PUNCT
iajs-968	149	30	college	college	NOUN
iajs-968	149	31	of	of	ADP
iajs-968	149	32	education	education	NOUN
iajs-968	149	33	-	-	PUNCT
iajs-968	149	34	ibn	ibn	PROPN
iajs-968	149	35	al	al	PROPN
iajs-968	149	36	-	-	PUNCT
iajs-968	149	37	haitham	haitham	PROPN
iajs-968	149	38	,	,	PUNCT
iajs-968	149	39	university	university	NOUN
iajs-968	149	40	of	of	ADP
iajs-968	149	41	baghdad	baghdad	PROPN
iajs-968	149	42	,	,	PUNCT
iajs-968	149	43	.	.	PUNCT
iajs-968	150	1	4	4	X
iajs-968	150	2	.	.	X
iajs-968	150	3	yegnanarayana	yegnanarayana	PROPN
iajs-968	150	4	,	,	PUNCT
iajs-968	150	5	b.	b.	PROPN
iajs-968	150	6	,	,	PUNCT
iajs-968	150	7	2000artificial	2000artificial	ADJ
iajs-968	150	8	neural	neural	ADJ
iajs-968	150	9	networks	network	NOUN
iajs-968	150	10	,	,	PUNCT
iajs-968	150	11	newdelhi	newdelhi	NOUN
iajs-968	150	12	,	,	PUNCT
iajs-968	150	13	5	5	X
iajs-968	150	14	.	.	X
iajs-968	150	15	tawfiq	tawfiq	PROPN
iajs-968	150	16	,	,	PUNCT
iajs-968	150	17	m.	m.	NOUN
iajs-968	150	18	,	,	PUNCT
iajs-968	150	19	and	and	CCONJ
iajs-968	150	20	eqhaar	eqhaar	NOUN
iajs-968	150	21	,	,	PUNCT
iajs-968	150	22	q.h	q.h	PROPN
iajs-968	150	23	.	.	PROPN
iajs-968	150	24	,	,	PUNCT
iajs-968	150	25	on	on	ADP
iajs-968	150	26	radial	radial	ADJ
iajs-968	150	27	basis	basis	NOUN
iajs-968	150	28	function	function	NOUN
iajs-968	150	29	neural	neural	ADJ
iajs-968	150	30	networks	network	NOUN
iajs-968	150	31	,	,	PUNCT
iajs-968	150	32	al	al	PROPN
iajs-968	150	33	-	-	PUNCT
iajs-968	150	34	qadisya	qadisya	PROPN
iajs-968	150	35	journal	journal	NOUN
iajs-968	150	36	for	for	ADP
iajs-968	150	37	science	science	NOUN
iajs-968	150	38	,	,	PUNCT
iajs-968	150	39	.	.	PUNCT
iajs-968	151	1	12	12	NUM
iajs-968	151	2	:	:	PUNCT
iajs-968	151	3	,	,	PUNCT
iajs-968	151	4	no	no	INTJ
iajs-968	151	5	.	.	NOUN
iajs-968	151	6	3	3	NUM
iajs-968	151	7	,	,	PUNCT
iajs-968	151	8	2007	2007	NUM
iajs-968	151	9	.	.	PUNCT
iajs-968	152	1	6	6	NUM
iajs-968	152	2	.	.	X
iajs-968	152	3	wajdi	wajdi	NOUN
iajs-968	152	4	,	,	PUNCT
iajs-968	152	5	b.	b.	PROPN
iajs-968	152	6	,	,	PUNCT
iajs-968	152	7	chokri	chokri	PROPN
iajs-968	152	8	,	,	PUNCT
iajs-968	152	9	b.	b.	PROPN
iajs-968	152	10	a.	a.	PROPN
iajs-968	152	11	and	and	CCONJ
iajs-968	152	12	alimi	alimi	PROPN
iajs-968	152	13	,	,	PUNCT
iajs-968	152	14	a.	a.	NOUN
iajs-968	152	15	m.	m.	NOUN
iajs-968	152	16	comparison	comparison	NOUN
iajs-968	152	17	between	between	ADP
iajs-968	152	18	beta	beta	ADJ
iajs-968	152	19	wavelets	wavelet	NOUN
iajs-968	152	20	neural	neural	ADJ
iajs-968	152	21	networks	network	NOUN
iajs-968	152	22	,	,	PUNCT
iajs-968	152	23	rbf	rbf	PROPN
iajs-968	152	24	neural	neural	ADJ
iajs-968	152	25	networks	network	NOUN
iajs-968	152	26	and	and	CCONJ
iajs-968	152	27	polynomial	polynomial	ADJ
iajs-968	152	28	approximation	approximation	NOUN
iajs-968	152	29	for	for	ADP
iajs-968	152	30	1d	1d	NUM
iajs-968	152	31	,	,	PUNCT
iajs-968	152	32	2d	2d	NUM
iajs-968	152	33	functions	function	NOUN
iajs-968	152	34	approximation	approximation	NOUN
iajs-968	152	35	,	,	PUNCT
iajs-968	152	36	roceedings	roceeding	NOUN
iajs-968	152	37	of	of	ADP
iajs-968	152	38	world	world	PROPN
iajs-968	152	39	academy	academy	PROPN
iajs-968	152	40	of	of	ADP
iajs-968	152	41	science	science	PROPN
iajs-968	152	42	,	,	PUNCT
iajs-968	152	43	engineering	engineering	NOUN
iajs-968	152	44	and	and	CCONJ
iajs-968	152	45	tec	tec	ADJ
iajs-968	152	46	ihjpas	ihjpa	VERB
iajs-968	152	47	ibn	ibn	PROPN
iajs-968	152	48	alhaitham	alhaitham	PROPN
iajs-968	153	1	j.	j.	PROPN
iajs-968	154	1	fo	fo	ADP
iajs-968	154	2	r	r	NOUN
iajs-968	154	3	pure	pure	ADJ
iajs-968	154	4	&	&	CCONJ
iajs-968	154	5	appl	appl	PROPN
iajs-968	154	6	.	.	PUNCT
iajs-968	155	1	sc	sc	PROPN
iajs-968	155	2	i.	i.	PROPN
iajs-968	155	3	vo	vo	PROPN
iajs-968	155	4	l.23	l.23	PROPN
iajs-968	155	5	(	(	PUNCT
iajs-968	155	6	2	2	NUM
iajs-968	155	7	)	)	PUNCT
iajs-968	155	8	2010	2010	NUM
iajs-968	155	9	hnology	hnology	NOUN
iajs-968	155	10	,	,	PUNCT
iajs-968	155	11	13	13	NUM
iajs-968	155	12	:	:	PUNCT
iajs-968	155	13	,	,	PUNCT
iajs-968	155	14	2006	2006	NUM
iajs-968	155	15	,	,	PUNCT
iajs-968	155	16	issn	issn	PROPN
iajs-968	155	17	13076884	13076884	NUM
iajs-968	155	18	.	.	PUNCT
iajs-968	156	1	7	7	X
iajs-968	156	2	.	.	X
iajs-968	156	3	bakshi	bakshi	PROPN
iajs-968	156	4	,	,	PUNCT
iajs-968	156	5	b.r	b.r	PROPN
iajs-968	156	6	.	.	PROPN
iajs-968	156	7	and	and	CCONJ
iajs-968	156	8	stephanopoulos	stephanopoulos	PROPN
iajs-968	156	9	,	,	PUNCT
iajs-968	156	10	g.	g.	PROPN
iajs-968	156	11	“	"	PUNCT
iajs-968	156	12	wave	wave	VERB
iajs-968	156	13	net	net	NOUN
iajs-968	156	14	:	:	PUNCT
iajs-968	156	15	a	a	DET
iajs-968	156	16	multiresolution	multiresolution	NOUN
iajs-968	156	17	neural	neural	ADJ
iajs-968	156	18	network	network	NOUN
iajs-968	156	19	with	with	ADP
iajs-968	156	20	localized	localized	ADJ
iajs-968	156	21	learning	learning	NOUN
iajs-968	156	22	”	"	PUNCT
iajs-968	156	23	,	,	PUNCT
iajs-968	156	24	aichej	aichej	ADJ
iajs-968	156	25	.	.	PUNCT
iajs-968	157	1	,.39	,.39	NOUN
iajs-968	157	2	,	,	PUNCT
iajs-968	157	3	no.1	no.1	NUM
iajs-968	157	4	,	,	PUNCT
iajs-968	157	5	pp	pp	ADV
iajs-968	157	6	.	.	PUNCT
iajs-968	158	1	5781	5781	NUM
iajs-968	158	2	,	,	PUNCT
iajs-968	158	3	1993	1993	NUM
iajs-968	158	4	.	.	PUNCT
iajs-968	159	1	8	8	X
iajs-968	159	2	.	.	PUNCT
iajs-968	160	1	mallat	mallat	PROPN
iajs-968	160	2	,	,	PUNCT
iajs-968	160	3	s.g	s.g	PROPN
iajs-968	160	4	.	.	PROPN
iajs-968	160	5	“	"	PUNCT
iajs-968	160	6	a	a	DET
iajs-968	160	7	theory	theory	NOUN
iajs-968	160	8	for	for	ADP
iajs-968	160	9	multiresolution	multiresolution	NOUN
iajs-968	160	10	signal	signal	NOUN
iajs-968	160	11	decomposition	decomposition	NOUN
iajs-968	160	12	:	:	PUNCT
iajs-968	160	13	the	the	DET
iajs-968	160	14	wavelet	wavelet	NOUN
iajs-968	160	15	representation	representation	NOUN
iajs-968	160	16	”	"	PUNCT
iajs-968	160	17	ieee	ieee	PROPN
iajs-968	160	18	trans	trans	PROPN
iajs-968	160	19	.	.	PUNCT
iajs-968	161	1	pottern	pottern	PROPN
iajs-968	161	2	analysis	analysis	NOUN
iajs-968	161	3	mach	mach	NOUN
iajs-968	161	4	.	.	PUNCT
iajs-968	162	1	intelligence,.11	intelligence,.11	PROPN
iajs-968	162	2	:	:	PUNCT
iajs-968	162	3	,	,	PUNCT
iajs-968	162	4	no.7	no.7	PROPN
iajs-968	162	5	,	,	PUNCT
iajs-968	162	6	pp.674	pp.674	VERB
iajs-968	162	7	693	693	NUM
iajs-968	162	8	,	,	PUNCT
iajs-968	162	9	1989	1989	NUM
iajs-968	162	10	.	.	PUNCT
iajs-968	163	1	9	9	X
iajs-968	163	2	.	.	X
iajs-968	163	3	kugarajah	kugarajah	PROPN
iajs-968	163	4	,	,	PUNCT
iajs-968	163	5	t.	t.	PROPN
iajs-968	163	6	and	and	CCONJ
iajs-968	163	7	zhang	zhang	PROPN
iajs-968	163	8	,	,	PUNCT
iajs-968	163	9	q.	q.	PROPN
iajs-968	163	10	“	"	PUNCT
iajs-968	163	11	multidimensional	multidimensional	ADJ
iajs-968	163	12	wavelet	wavelet	NOUN
iajs-968	163	13	frames	frame	NOUN
iajs-968	163	14	”	"	PUNCT
iajs-968	163	15	,	,	PUNCT
iajs-968	163	16	ieee	ieee	NOUN
iajs-968	163	17	transactions	transaction	NOUN
iajs-968	163	18	on	on	ADP
iajs-968	163	19	neural	neural	ADJ
iajs-968	163	20	network	network	NOUN
iajs-968	163	21	s.6	s.6	NOUN
iajs-968	163	22	:	:	PUNCT
iajs-968	163	23	,	,	PUNCT
iajs-968	163	24	no.6	no.6	PROPN
iajs-968	163	25	,	,	PUNCT
iajs-968	163	26	pp.1552	pp.1552	PROPN
iajs-968	163	27	-	-	SYM
iajs-968	163	28	1556	1556	NUM
iajs-968	163	29	,	,	PUNCT
iajs-968	163	30	1995	1995	NUM
iajs-968	163	31	.	.	PUNCT
iajs-968	164	1	(	(	PUNCT
iajs-968	164	2	a	a	X
iajs-968	164	3	)	)	PUNCT
iajs-968	164	4	performance	performance	NOUN
iajs-968	164	5	of	of	ADP
iajs-968	164	6	the	the	DET
iajs-968	164	7	rbfnn	rbfnn	NOUN
iajs-968	164	8	(	(	PUNCT
iajs-968	164	9	b	b	NOUN
iajs-968	164	10	)	)	PUNCT
iajs-968	164	11	results	result	NOUN
iajs-968	164	12	of	of	ADP
iajs-968	164	13	iterative	iterative	NOUN
iajs-968	164	14	rbfnn	rbfnn	NOUN
iajs-968	164	15	figure	figure	NOUN
iajs-968	164	16	(	(	PUNCT
iajs-968	164	17	1	1	NUM
iajs-968	164	18	)	)	PUNCT
iajs-968	164	19	:	:	PUNCT
iajs-968	164	20	rbfnn	rbfnn	VERB
iajs-968	164	21	forward	forward	ADJ
iajs-968	164	22	model	model	NOUN
iajs-968	164	23	.	.	PUNCT
iajs-968	165	1	(	(	PUNCT
iajs-968	165	2	a	a	X
iajs-968	165	3	)	)	PUNCT
iajs-968	165	4	performance	performance	NOUN
iajs-968	165	5	of	of	ADP
iajs-968	165	6	the	the	DET
iajs-968	165	7	wbfnn	wbfnn	NOUN
iajs-968	165	8	.	.	PUNCT
iajs-968	166	1	ihjpas	ihjpa	VERB
iajs-968	166	2	ibn	ibn	PROPN
iajs-968	166	3	alhaitham	alhaitham	PROPN
iajs-968	167	1	j.	j.	PROPN
iajs-968	168	1	fo	fo	ADP
iajs-968	168	2	r	r	NOUN
iajs-968	168	3	pure	pure	ADJ
iajs-968	168	4	&	&	CCONJ
iajs-968	168	5	appl	appl	PROPN
iajs-968	168	6	.	.	PUNCT
iajs-968	169	1	sc	sc	PROPN
iajs-968	169	2	i.	i.	PROPN
iajs-968	169	3	vo	vo	PROPN
iajs-968	169	4	l.23	l.23	PROPN
iajs-968	169	5	(	(	PUNCT
iajs-968	169	6	2	2	NUM
iajs-968	169	7	)	)	PUNCT
iajs-968	169	8	2010	2010	NUM
iajs-968	169	9	(	(	PUNCT
iajs-968	169	10	b	b	NOUN
iajs-968	169	11	)	)	PUNCT
iajs-968	169	12	results	result	NOUN
iajs-968	169	13	of	of	ADP
iajs-968	169	14	iterative	iterative	ADJ
iajs-968	169	15	wbfnn	wbfnn	NOUN
iajs-968	169	16	.	.	PUNCT
iajs-968	170	1	fig	fig	NOUN
iajs-968	170	2	.	.	PUNCT
iajs-968	171	1	(	(	PUNCT
iajs-968	171	2	2	2	NUM
iajs-968	171	3	)	)	PUNCT
iajs-968	171	4	:	:	PUNCT
iajs-968	171	5	wbfnn	wbfnn	NOUN
iajs-968	171	6	forward	forward	ADV
iajs-968	171	7	model	model	NOUN
iajs-968	171	8	fig.e	fig.e	PROPN
iajs-968	171	9	3	3	NUM
iajs-968	171	10	.	.	X
iajs-968	171	11	compare	compare	VERB
iajs-968	171	12	between	between	ADP
iajs-968	171	13	rbfnn	rbfnn	NOUN
iajs-968	171	14	and	and	CCONJ
iajs-968	171	15	wbfnn	wbfnn	NOUN
iajs-968	171	16	from	from	ADP
iajs-968	171	17	figure	figure	NOUN
iajs-968	171	18	(	(	PUNCT
iajs-968	171	19	1	1	NUM
iajs-968	171	20	)	)	PUNCT
iajs-968	171	21	&	&	CCONJ
iajs-968	171	22	(	(	PUNCT
iajs-968	171	23	2	2	NUM
iajs-968	171	24	)	)	PUNCT
iajs-968	171	25	(	(	PUNCT
iajs-968	171	26	a	a	NOUN
iajs-968	171	27	)	)	PUNCT
iajs-968	171	28	(	(	PUNCT
iajs-968	171	29	b	b	X
iajs-968	171	30	)	)	PUNCT
iajs-968	171	31	fig	fig	NOUN
iajs-968	171	32	.	.	PUNCT
iajs-968	172	1	4	4	X
iajs-968	172	2	.	.	X
iajs-968	172	3	performance	performance	NOUN
iajs-968	172	4	of	of	ADP
iajs-968	172	5	rbfnn	rbfnn	NOUN
iajs-968	172	6	:	:	PUNCT
iajs-968	172	7	(	(	PUNCT
iajs-968	172	8	a	a	X
iajs-968	172	9	)	)	PUNCT
iajs-968	172	10	result	result	NOUN
iajs-968	172	11	(	(	PUNCT
iajs-968	172	12	b	b	NOUN
iajs-968	172	13	)	)	PUNCT
iajs-968	172	14	error	error	NOUN
iajs-968	172	15	ihjpas	ihjpa	VERB
iajs-968	172	16	ibn	ibn	PROPN
iajs-968	172	17	alhaitham	alhaitham	PROPN
iajs-968	173	1	j.	j.	PROPN
iajs-968	174	1	fo	fo	ADP
iajs-968	174	2	r	r	NOUN
iajs-968	174	3	pure	pure	ADJ
iajs-968	174	4	&	&	CCONJ
iajs-968	174	5	appl	appl	PROPN
iajs-968	174	6	.	.	PUNCT
iajs-968	175	1	sc	sc	PROPN
iajs-968	175	2	i.	i.	PROPN
iajs-968	175	3	vo	vo	PROPN
iajs-968	175	4	l.23	l.23	PROPN
iajs-968	175	5	(	(	PUNCT
iajs-968	175	6	2	2	NUM
iajs-968	175	7	)	)	PUNCT
iajs-968	175	8	2010	2010	NUM
iajs-968	175	9	.	.	PUNCT
iajs-968	176	1	figure	figure	NOUN
iajs-968	176	2	5	5	NUM
iajs-968	176	3	.	.	PUNCT
iajs-968	176	4	result	result	VERB
iajs-968	176	5	an	an	DET
iajs-968	176	6	d	d	NOUN
iajs-968	176	7	error	error	NOUN
iajs-968	176	8	of	of	ADP
iajs-968	176	9	wbfnn	wbfnn	NOUN
iajs-968	176	10	.	.	PUNCT
iajs-968	177	1	(	(	PUNCT
iajs-968	177	2	a	a	X
iajs-968	177	3	)	)	PUNCT
iajs-968	177	4	(	(	PUNCT
iajs-968	177	5	b	b	X
iajs-968	177	6	)	)	PUNCT
iajs-968	177	7	figure	figure	NOUN
iajs-968	177	8	6	6	NUM
iajs-968	177	9	.	.	PUNCT
iajs-968	177	10	compare	compare	VERB
iajs-968	177	11	between	between	ADP
iajs-968	177	12	rbfnn	rbfnn	NOUN
iajs-968	177	13	and	and	CCONJ
iajs-968	177	14	wbfnn	wbfnn	NOUN
iajs-968	177	15	(	(	PUNCT
iajs-968	177	16	a	a	PRON
iajs-968	177	17	)	)	PUNCT
iajs-968	177	18	results	result	NOUN
iajs-968	177	19	(	(	PUNCT
iajs-968	177	20	b	b	NOUN
iajs-968	177	21	)	)	PUNCT
iajs-968	177	22	error	error	NOUN
iajs-968	177	23	ihjpas	ihjpa	NOUN
iajs-968	177	24	2010	2010	NUM
iajs-968	177	25	)	)	PUNCT
iajs-968	177	26	2	2	NUM
iajs-968	177	27	(	(	PUNCT
iajs-968	177	28	23المجلد	23المجلد	NUM
iajs-968	177	29	مجلة	مجلة	VERB
iajs-968	177	30	ابن	ابن	PROPN
iajs-968	177	31	الھیثم	الھیثم	PROPN
iajs-968	177	32	للعلوم	للعلوم	PROPN
iajs-968	177	33	الصرفة	الصرفة	PROPN
iajs-968	177	34	والتطبیقیة	والتطبیقیة	PROPN
iajs-968	177	35	دوال	دوال	PROPN
iajs-968	177	36	األساس	األساس	VERB
iajs-968	177	37	الشعاعـیة	الشعاعـیة	VERB
iajs-968	177	38	و	و	PRON
iajs-968	177	39	دوال	دوال	PROPN
iajs-968	177	40	يالشبكات	يالشبكات	NOUN
iajs-968	177	41	العصبیة	العصبیة	NOUN
iajs-968	177	42	ذحـول	ذحـول	PROPN
iajs-968	177	43	المقارنة	المقارنة	PROPN
iajs-968	177	44	بین	بین	PROPN
iajs-968	177	45	األساس	األساس	PROPN
iajs-968	177	46	المتذبذبة	المتذبذبة	PROPN
iajs-968	177	47	دـیـد	دـیـد	PROPN
iajs-968	177	48	رشـیـبد	رشـیـبد	PROPN
iajs-968	177	49	المجـرید	المجـرید	PROPN
iajs-968	177	50	عـو	عـو	VERB
iajs-968	177	51	تغ	تغ	PROPN
iajs-968	177	52	قـیـوفـمد	قـیـوفـمد	PROPN
iajs-968	177	53	تـي	تـي	PROPN
iajs-968	177	54	محـلمى	محـلمى	PROPN
iajs-968	177	55	ناج	ناج	PROPN
iajs-968	177	56	جامعة	جامعة	PROPN
iajs-968	177	57	بغداد	بغداد	PROPN
iajs-968	177	58	،	،	PROPN
iajs-968	177	59	كلیة	كلیة	PROPN
iajs-968	177	60	التربیة	التربیة	NOUN
iajs-968	177	61	ابن	ابن	AUX
iajs-968	177	62	الهیثم	الهیثم	PROPN
iajs-968	177	63	،	،	PROPN
iajs-968	177	64	قسم	قسم	PROPN
iajs-968	177	65	الریاضیات	الریاضیات	PROPN
iajs-968	177	66	الخالصه	الخالصه	PROPN
iajs-968	177	67	والثـاني	والثـاني	PROPN
iajs-968	177	68	rbfnnاألول	rbfnnاألول	PROPN
iajs-968	177	69	یسـتخدم	یسـتخدم	VERB
iajs-968	177	70	.التغذیــة	.التغذیــة	ADP
iajs-968	177	71	التقدمیــة	التقدمیــة	PROPN
iajs-968	177	72	ين	ين	PROPN
iajs-968	177	73	ذاین	ذاین	PROPN
iajs-968	177	74	صـناعیتییتضمن	صـناعیتییتضمن	PROPN
iajs-968	177	75	هذا	هذا	PROPN
iajs-968	177	76	البحث	البحث	PROPN
iajs-968	177	77	دراســة	دراســة	ADV
iajs-968	177	78	وتصـمیم	وتصـمیم	PROPN
iajs-968	177	79	شـبكتان	شـبكتان	PROPN
iajs-968	177	80	عصـبیت	عصـبیت	PROPN
iajs-968	177	81	ـاء	ـاء	PROPN
iajs-968	177	82	wbfnnیســتخدم	wbfnnیســتخدم	PROPN
iajs-968	177	83	ــم	ــم	PROPN
iajs-968	177	84	دربنــا	دربنــا	PROPN
iajs-968	177	85	الشــبكات	الشــبكات	ADJ
iajs-968	177	86	باســتخدام	باســتخدام	NOUN
iajs-968	177	87	خوارزمیـــة	خوارزمیـــة	NOUN
iajs-968	177	88	المــدخالتلتقریــب	المــدخالتلتقریــب	PROPN
iajs-968	177	89	تطبیــق	تطبیــق	PROPN
iajs-968	177	90	مــن	مــن	PROPN
iajs-968	177	91	فضــ	فضــ	PROPN
iajs-968	177	92	ـاء	ـاء	PROPN
iajs-968	177	93	المخرجــات	المخرجــات	PROPN
iajs-968	177	94	ثـ	ثـ	ADP
iajs-968	177	95	إلــى	إلــى	ADV
iajs-968	177	96	فضـ	فضـ	NOUN
iajs-968	177	97	ثم	ثم	ADP
iajs-968	177	98	طبقنا	طبقنا	ADJ
iajs-968	177	99	تلك	تلك	VERB
iajs-968	178	1	الشبكات	الشبكات	PROPN
iajs-968	178	2	على	على	PROPN
iajs-968	178	3	بعـض	بعـض	NOUN
iajs-968	178	4	األمثلـة	األمثلـة	PROPN
iajs-968	178	5	لحـل	لحـل	PROPN
iajs-968	178	6	معـادالت	معـادالت	PROPN
iajs-968	178	7	بة	بة	PROPN
iajs-968	178	8	المطلو	المطلو	PROPN
iajs-968	178	9	للحصول	للحصول	PROPN
iajs-968	178	10	على	على	PROPN
iajs-968	178	11	المخرجات	المخرجات	NOUN
iajs-968	178	12	c	c	PROPN
iajs-968	178	13	gالتدریب	gالتدریب	VERB
iajs-968	178	14	المرتد	المرتد	PROPN
iajs-968	178	15	من	من	PROPN
iajs-968	178	16	النوع	النوع	PROPN
iajs-968	178	17	.	.	PUNCT
iajs-968	179	1	رضنا	رضنا	PROPN
iajs-968	179	2	نتائج	نتائج	PROPN
iajs-968	179	3	تلك	تلك	PROPN
iajs-968	179	4	التطبیقات	التطبیقات	PROPN
iajs-968	179	5	تفاضلیة	تفاضلیة	ADV
iajs-968	179	6	ومن	ومن	PROPN
iajs-968	179	7	ثم	ثم	ADP
iajs-968	179	8	ع	ع	PROPN
iajs-968	179	9	ihjpas	ihjpas	NOUN