id	sid	tid	token	lemma	pos
0v838052c26	1	1	geometric	geometric	ADJ
0v838052c26	1	2	and	and	CCONJ
0v838052c26	1	3	topological	topological	ADJ
0v838052c26	1	4	data	datum	NOUN
0v838052c26	1	5	analysis	analysis	NOUN
0v838052c26	1	6	have	have	AUX
0v838052c26	1	7	recently	recently	ADV
0v838052c26	1	8	attained	attain	VERB
0v838052c26	1	9	much	much	ADJ
0v838052c26	1	10	interests	interest	NOUN
0v838052c26	1	11	from	from	ADP
0v838052c26	1	12	the	the	DET
0v838052c26	1	13	statistics	statistic	NOUN
0v838052c26	1	14	community	community	NOUN
0v838052c26	1	15	for	for	ADP
0v838052c26	1	16	their	their	PRON
0v838052c26	1	17	capabilities	capability	NOUN
0v838052c26	1	18	to	to	PART
0v838052c26	1	19	perform	perform	VERB
0v838052c26	1	20	inferential	inferential	ADJ
0v838052c26	1	21	tasks	task	NOUN
0v838052c26	1	22	on	on	ADP
0v838052c26	1	23	types	type	NOUN
0v838052c26	1	24	of	of	ADP
0v838052c26	1	25	data	datum	NOUN
0v838052c26	1	26	that	that	PRON
0v838052c26	1	27	traditional	traditional	ADJ
0v838052c26	1	28	statistical	statistical	ADJ
0v838052c26	1	29	disciplines	discipline	NOUN
0v838052c26	1	30	had	have	AUX
0v838052c26	1	31	not	not	PART
0v838052c26	1	32	been	be	AUX
0v838052c26	1	33	able	able	ADJ
0v838052c26	1	34	to	to	PART
0v838052c26	1	35	handle	handle	VERB
0v838052c26	1	36	and	and	CCONJ
0v838052c26	1	37	for	for	ADP
0v838052c26	1	38	their	their	PRON
0v838052c26	1	39	utility	utility	NOUN
0v838052c26	1	40	that	that	PRON
0v838052c26	1	41	enables	enable	VERB
0v838052c26	1	42	to	to	PART
0v838052c26	1	43	capture	capture	VERB
0v838052c26	1	44	certain	certain	ADJ
0v838052c26	1	45	aspects	aspect	NOUN
0v838052c26	1	46	of	of	ADP
0v838052c26	1	47	the	the	DET
0v838052c26	1	48	data	datum	NOUN
0v838052c26	1	49	that	that	PRON
0v838052c26	1	50	had	have	AUX
0v838052c26	1	51	not	not	PART
0v838052c26	1	52	been	be	AUX
0v838052c26	1	53	observed	observe	VERB
0v838052c26	1	54	.	.	PUNCT
0v838052c26	2	1	my	my	PRON
0v838052c26	2	2	dissertation	dissertation	NOUN
0v838052c26	2	3	develops	develop	VERB
0v838052c26	2	4	several	several	ADJ
0v838052c26	2	5	methods	method	NOUN
0v838052c26	2	6	that	that	PRON
0v838052c26	2	7	focus	focus	VERB
0v838052c26	2	8	on	on	ADP
0v838052c26	2	9	various	various	ADJ
0v838052c26	2	10	aspects	aspect	NOUN
0v838052c26	2	11	across	across	ADP
0v838052c26	2	12	the	the	DET
0v838052c26	2	13	two	two	NUM
0v838052c26	2	14	disciplines	discipline	NOUN
0v838052c26	2	15	.	.	PUNCT
0v838052c26	3	1	in	in	ADP
0v838052c26	3	2	the	the	DET
0v838052c26	3	3	geometric	geometric	ADJ
0v838052c26	3	4	realm	realm	NOUN
0v838052c26	3	5	,	,	PUNCT
0v838052c26	3	6	i	i	PRON
0v838052c26	3	7	developed	develop	VERB
0v838052c26	3	8	efficient	efficient	ADJ
0v838052c26	3	9	numerical	numerical	ADJ
0v838052c26	3	10	routines	routine	NOUN
0v838052c26	3	11	for	for	ADP
0v838052c26	3	12	maximum	maximum	ADJ
0v838052c26	3	13	likelihood	likelihood	NOUN
0v838052c26	3	14	estimation	estimation	NOUN
0v838052c26	3	15	of	of	ADP
0v838052c26	3	16	the	the	DET
0v838052c26	3	17	spherical	spherical	ADJ
0v838052c26	3	18	normal	normal	ADJ
0v838052c26	3	19	distribution	distribution	NOUN
0v838052c26	3	20	that	that	PRON
0v838052c26	3	21	was	be	AUX
0v838052c26	3	22	recently	recently	ADV
0v838052c26	3	23	proposed	propose	VERB
0v838052c26	3	24	to	to	PART
0v838052c26	3	25	replace	replace	VERB
0v838052c26	3	26	standard	standard	ADJ
0v838052c26	3	27	euclidean	euclidean	ADJ
0v838052c26	3	28	discrepancy	discrepancy	NOUN
0v838052c26	3	29	in	in	ADP
0v838052c26	3	30	the	the	DET
0v838052c26	3	31	celebrated	celebrated	ADJ
0v838052c26	3	32	von	von	PROPN
0v838052c26	3	33	mises	mise	NOUN
0v838052c26	3	34	-	-	PUNCT
0v838052c26	3	35	fisher	fisher	NOUN
0v838052c26	3	36	distribution	distribution	NOUN
0v838052c26	3	37	with	with	ADP
0v838052c26	3	38	the	the	DET
0v838052c26	3	39	geodesic	geodesic	ADJ
0v838052c26	3	40	distance	distance	NOUN
0v838052c26	3	41	that	that	PRON
0v838052c26	3	42	better	well	ADV
0v838052c26	3	43	reflects	reflect	VERB
0v838052c26	3	44	intrinsic	intrinsic	ADJ
0v838052c26	3	45	geometry	geometry	NOUN
0v838052c26	3	46	of	of	ADP
0v838052c26	3	47	the	the	DET
0v838052c26	3	48	unit	unit	NOUN
0v838052c26	3	49	hypersphere	hypersphere	NOUN
0v838052c26	3	50	.	.	PUNCT
0v838052c26	4	1	on	on	ADP
0v838052c26	4	2	the	the	DET
0v838052c26	4	3	topological	topological	ADJ
0v838052c26	4	4	domain	domain	NOUN
0v838052c26	4	5	,	,	PUNCT
0v838052c26	4	6	i	i	PRON
0v838052c26	4	7	first	first	ADV
0v838052c26	4	8	proposed	propose	VERB
0v838052c26	4	9	a	a	DET
0v838052c26	4	10	systematic	systematic	ADJ
0v838052c26	4	11	approach	approach	NOUN
0v838052c26	4	12	to	to	PART
0v838052c26	4	13	compare	compare	VERB
0v838052c26	4	14	multiple	multiple	ADJ
0v838052c26	4	15	latent	latent	ADJ
0v838052c26	4	16	space	space	NOUN
0v838052c26	4	17	embeddings	embedding	NOUN
0v838052c26	4	18	for	for	ADP
0v838052c26	4	19	networks	network	NOUN
0v838052c26	4	20	of	of	ADP
0v838052c26	4	21	potentially	potentially	ADV
0v838052c26	4	22	varying	vary	VERB
0v838052c26	4	23	size	size	NOUN
0v838052c26	4	24	and	and	CCONJ
0v838052c26	4	25	invariant	invariant	ADJ
0v838052c26	4	26	under	under	ADP
0v838052c26	4	27	label	label	NOUN
0v838052c26	4	28	permutation	permutation	NOUN
0v838052c26	4	29	in	in	ADP
0v838052c26	4	30	light	light	NOUN
0v838052c26	4	31	of	of	ADP
0v838052c26	4	32	deriving	derive	VERB
0v838052c26	4	33	inferential	inferential	ADJ
0v838052c26	4	34	insights	insight	NOUN
0v838052c26	4	35	on	on	ADP
0v838052c26	4	36	how	how	SCONJ
0v838052c26	4	37	shapes	shape	NOUN
0v838052c26	4	38	of	of	ADP
0v838052c26	4	39	networks	network	NOUN
0v838052c26	4	40	differ	differ	VERB
0v838052c26	4	41	via	via	ADP
0v838052c26	4	42	clustering	clustering	NOUN
0v838052c26	4	43	and	and	CCONJ
0v838052c26	4	44	hypothesis	hypothesis	NOUN
0v838052c26	4	45	testing	testing	NOUN
0v838052c26	4	46	procedures	procedure	NOUN
0v838052c26	4	47	.	.	PUNCT
0v838052c26	5	1	lastly	lastly	ADV
0v838052c26	5	2	,	,	PUNCT
0v838052c26	5	3	i	i	PRON
0v838052c26	5	4	developed	develop	VERB
0v838052c26	5	5	a	a	DET
0v838052c26	5	6	topology	topology	NOUN
0v838052c26	5	7	-	-	PUNCT
0v838052c26	5	8	based	base	VERB
0v838052c26	5	9	linear	linear	ADJ
0v838052c26	5	10	dimensionality	dimensionality	NOUN
0v838052c26	5	11	reduction	reduction	NOUN
0v838052c26	5	12	algorithm	algorithm	PROPN
0v838052c26	5	13	that	that	PRON
0v838052c26	5	14	minimizes	minimize	VERB
0v838052c26	5	15	the	the	DET
0v838052c26	5	16	discrepancy	discrepancy	NOUN
0v838052c26	5	17	of	of	ADP
0v838052c26	5	18	topological	topological	ADJ
0v838052c26	5	19	properties	property	NOUN
0v838052c26	5	20	between	between	ADP
0v838052c26	5	21	the	the	DET
0v838052c26	5	22	data	datum	NOUN
0v838052c26	5	23	and	and	CCONJ
0v838052c26	5	24	its	its	PRON
0v838052c26	5	25	projection	projection	NOUN
0v838052c26	5	26	.	.	PUNCT
0v838052c26	6	1	i	i	PRON
0v838052c26	6	2	also	also	ADV
0v838052c26	6	3	proposed	propose	VERB
0v838052c26	6	4	theoretical	theoretical	ADJ
0v838052c26	6	5	concepts	concept	NOUN
0v838052c26	6	6	for	for	ADP
0v838052c26	6	7	two	two	NUM
0v838052c26	6	8	measures	measure	NOUN
0v838052c26	6	9	that	that	PRON
0v838052c26	6	10	quantify	quantify	VERB
0v838052c26	6	11	topological	topological	ADJ
0v838052c26	6	12	equivalence	equivalence	NOUN
0v838052c26	6	13	of	of	ADP
0v838052c26	6	14	the	the	DET
0v838052c26	6	15	data	datum	NOUN
0v838052c26	6	16	and	and	CCONJ
0v838052c26	6	17	its	its	PRON
0v838052c26	6	18	embedding	embedding	NOUN
0v838052c26	6	19	induced	induce	VERB
0v838052c26	6	20	by	by	ADP
0v838052c26	6	21	any	any	DET
0v838052c26	6	22	linear	linear	ADJ
0v838052c26	6	23	maps	map	NOUN
0v838052c26	6	24	.	.	PUNCT