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A	pathway	and	SVM	
based	tool	for	
tumor	classification
A.A.	2016/2017
Candidato:
Luca	Vitale
Matricola:	0522500362
Relatori:
Prof:	Roberto	Tagliaferri
Dr.ssa:	Angela	Serra
Goals:
Classify	with	
pathways
1
Identify	relations	
among	pathways
2
Build	a	graph	of	
interactions	
between	pathways
3
The	Data
• Lung	Squamous	Cell	Carcinoma	(LSCC)	
• 106	patients
• 11837	genes
• 23074	methylation	values
• 352	miRNAs
• Survival	information
Pipeline
Similarity	Network	Fusion	- SNF
• SNF	is	a	intermediate	multi-view	clustering	methodology	for	patients	sub-typing.
Patients similarity
network
Fusion	iterations Fused patients
similarity network
miRNAs
methy
SNF	- Grid	search
• The	algorithm	is	run	different	time	with	the	following	parameters:
• Number	of	iterations:	200	
• K:	10	to	30	step	by	1	
• Number	of	nearest	neighbors
• 𝛼 :	0.3	to	0.8	step	by	0.1
• Variance	for	local	model
• For	each	combination	of	K	and	𝛼, the	number	of	clusters	was	evaluated	through	
two	heuristics:	eigen-gaps	K12	and	eigen-gaps	K2.
• Each	clustering	was	evaluated	through	the	survival	analysis	by	using	the	log-rank	
test.
SNF	- The	results
P-Value	=	0.0015	 K	=	23 𝛼 =	0.6 Number of Iteration =	200
Feature	selection
• Identify	discriminant	genes		
Discriminant	
Fuzzy	Pattern	
• Identify	which	pathways	are	
significantly	represented	by	the	
genes	selected	by	the	DFP	algorithm
Enrichment	
Analysis
Skip	factor	à 0,	1,	2,	3	
• The	skipFactor value	to	
skip	the	outliers.	Higher	
values	imply	that	less	
gene	are	considered	
outliers.	skipFactor
equal	to	0	does	not	
skip;
1
Zeta	à 0.35,	0.4,	0.45,	
0.5
• The	zeta	parameter	that	
sets	the	threshold	value	
which	controls	the	
activation	of	a	linguistic	
label;
2
piVal à 0.4	to	0.8	step by	
0.05
• The	piVal parameter	is	
equal	to	the	percentage	of	
values	of	a	class	to	
determine	the	fuzzy	
patterns.	It	can	take	values	
in	the	interval	[0,1];
3
Overlapping à 1,	2
• Determines the	
number of	discrete	
labels;
4
Discriminant	Fuzzy	Pattern	– Grid	search
Enrichment	Analysis
• For	each	group	of	genes	selected	by	DFP	parameters	the	enrichment	
analysis	was	performed
• The	p-value	is	calculated	based	on	the	hypergeometric	model
• We	only	used	KEGG	and	Reactome Database
Evaluation	of	
DFP	results
• We	selected	the	dataset	which	
reached	the	maximum	number	of	
pathways,	containing	only	the	
genes	selected	with	the	DFP.
• The	selected	combination	has	
1384	genes,	67	pathways	and	
piVal 0.6.
The	pathways
• The	selected	pathways	are	67:	28	KEGG	and	
39	Reactome
• The	selected	genes	are	1384.	The	DFP	
parameters	are:
• skip	factor	2
• zeta	0.3
• piVal 0.6
• overlapping	1
Classification	with	SVM
• For	each pathway a	Linear SVM	was executed on	each pair	of	classes
• Two level cross-validation
• 3	outer folds
• 2	inner folds
• C:	1e-5,	1e-4,	1e-3,	1e-2,	1e-1,	1e0,	1e1,	1e2,	1e3,	1e4,	1e5,	1e6
Permutation	test
• The	goal	of	permutation	test	is	to	identify	the	
pathways	that	are	statistically	significant	for	the	
classification
name	pathway	 id	pathway	 p-value	 Accuracy	 Size	 classes				
Cytokine-cytokine	receptor	interaction	 K	_hsa04060	 0.04	 0.93	 21 5vs2				
Cell	cycle	 K	_hsa04110	 0.03	 0.89	 12 1vs2				
Cell	cycle	 K	_hsa04110	 0.02	 0.97	 13 2vs3				
Cell	cycle	 K	_hsa04110	 0.05	 0.90	 11 5vs3				
Osteoclast	differentiation	 K	_hsa04380	 0.03	 1.00	 10 1vs4				
Antigen	processing	and	presentation	 K	_hsa04612	 0.03	 1.00	 8 1vs4				
Antigen	processing	and	presentation	 K	_hsa04612	 0.05	 0.92	 7 2vs3				
Antigen	processing	and	presentation	 K	_hsa04612	 0.03	 1.00	 7 5vs4				
T	cell	receptor	signaling	pathway	 K	_hsa04640	 0.04	 1.00	 11 1vs4				
T	cell	receptor	signaling	pathway	 K	_hsa04640	 0.01	 0.81	 12 5vs1				
Th1	and	Th2	cell	differentiation	 K	_hsa04658	 0.04	 1.00	 9 1vs4				
Th1	and	Th2	cell	differentiation	 K	_hsa04658	 0.04	 0.93	 9 2vs3				
Th17	cell	differentiation	 K	_hsa04659	 0.04	 1.00	 11 1vs4				
Th17	cell	differentiation	 K	_hsa04659	 0.04	 0.96	 12 2vs3				
T	cell	receptor	signaling	pathway	 K	_hsa04660	 0.03	 1.00	 8 1vs4				
T	cell	receptor	signaling	pathway	 K	_hsa04660	 0.04	 1.00	 8 5vs4				
B	cell	receptor	signaling	pathway	 K	_hsa04662	 0.04	 0.84	 7 1vs2				
B	cell	receptor	signaling	pathway	 K	_hsa04662	 0.03	 0.89	 8 5vs2				
Leukocyte	transendothelial	migration	 K	_hsa04670	 0.01	 0.91	 12 1vs2				
Leukocyte	transendothelial	migration	 K	_hsa04670	 0.01	 0.90	 13 1vs3				
Leukocyte	transendothelial	migration	 K	_hsa04670	 0.04	 0.92	 14 5vs3
Second	step	of	classification:	pathway	
probabilities	combinations
• For	each	pairs	of	class,	we	combine	the	pathways	using	the	class	
probabilities	of	SVM	as	new	features.	
• We	try	all	the	combination	of	pathways	using	linear	SVM
• C:	1e-5,	1e-4,	1e-3,	1e-2,	1e-1,	1e0,	1e1,	1e2,	1e3,	1e4,	1e5,	1e6
Graph	Interaction
• We	create	a	graph	interaction	for	each	combination	of	classes
• The	vertices	of	the	graph	are	the	genes	in	pathways
• The	size	is	equal	at	SVM	weight,	if	a	genes	is	in	common	
between	the	pathways	we	pick	the	max	weight.
• For	the	edges:
1. We	calculated	the	correlation	between	the	genes
2. Split	the	correlation	in	positive	and	negative	and	
calculate	the	MST
3. Only	the	edges	belonged	to	MST	are	in	the	final	graph
• We	highlighted	the	pathways	with	shapes	of	different	colours
Conclusion
• The	pathways	are	good	features	for	the	classification	problem.
• The	pipeline	can	be	tested	on	other	datasets	to	test	it’s	generalization	
ability.
A pathway and SVM based tool for tumor classification

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