A Many Data E B D C A E B Matrices F G Many shared D C factors Solution: DFMF Algorithm Input: A set R of relation matrices R ij ; constraint matrices Θ ( t ) F G for t 2 { 1 , 2 , . . . , max i t i } ; ranks k 1 , k 2 , . . . , k r ( i, j 2 [ r ] ). Output: Matrix factors S and G . 1) Initialize G i for i = 1 , 2 , . . . , r. 2) Repeat until convergence: • Construct R and G using their definitions in Eq. (1) and Eq. (3). • Update S using: S ( G T G ) − 1 G T RG ( G T G ) − 1 . (8) • Set G ( e ) 0 for i = 1 , 2 , . . . , r . i • Set G ( d ) 0 for i = 1 , 2 , . . . , r . i • For R ij 2 R : G ( e ) ij ) + + G i ( S ij G T ( R ij G j S T j G j S T += ij ) − i ij ) − + G i ( S ij G T G ( d ) ( R ij G j S T j G j S T ij ) + += i ij G i S ij ) + + G j ( S T G ( e ) ( R T ij G T += i G i S ij ) − j G ( d ) ij G i S ij ) − + G j ( S T i G i S ij ) + (10) ( R T ij G T += j • For t = 1 , 2 , . . . , max i t i : G ( e ) [ Θ ( t ) ] − G i += for i = 1 , 2 , . . . , r i i G ( d ) [ Θ ( t ) ] + G i += for i = 1 , 2 , . . . , r (11) i i • Construct G as: v v v t G ( e ) t G ( e ) t G ( e ) u u u u r u 1 u 2 G G � Diag( , , . . . , ) , (12) G ( d ) G ( d ) G ( d ) 1 2 r where � denotes the Hadamard product. The p · and · are · entry-wise operations. Marinka Zitnik - PhD Thesis
A Many Data E B D C A E B Matrices F G Many shared D C factors Solution: DFMF Algorithm Input: A set R of relation matrices R ij ; constraint matrices Θ ( t ) F G for t 2 { 1 , 2 , . . . , max i t i } ; ranks k 1 , k 2 , . . . , k r ( i, j 2 [ r ] ). Output: Matrix factors S and G . 1) Initialize G i for i = 1 , 2 , . . . , r. 2) Repeat until convergence: • Construct R and G using their definitions in Eq. (1) and Eq. (3). • Update S using: S ( G T G ) − 1 G T RG ( G T G ) − 1 . (8) • Set G ( e ) 0 for i = 1 , 2 , . . . , r . i • Set G ( d ) 0 for i = 1 , 2 , . . . , r . i • For R ij 2 R : G ( e ) ij ) + + G i ( S ij G T ( R ij G j S T j G j S T += ij ) − i ij ) − + G i ( S ij G T G ( d ) ( R ij G j S T j G j S T ij ) + += i ij G i S ij ) + + G j ( S T G ( e ) ( R T ij G T += i G i S ij ) − j G ( d ) ij G i S ij ) − + G j ( S T i G i S ij ) + (10) ( R T ij G T += j • For t = 1 , 2 , . . . , max i t i : G ( e ) [ Θ ( t ) ] − G i += for i = 1 , 2 , . . . , r i i G ( d ) [ Θ ( t ) ] + G i += for i = 1 , 2 , . . . , r (11) i i • Construct G as: v v v t G ( e ) t G ( e ) t G ( e ) u u u u r u 1 u 2 G G � Diag( , , . . . , ) , (12) G ( d ) G ( d ) G ( d ) 1 2 r where � denotes the Hadamard product. The p · and · are · entry-wise operations. Marinka Zitnik - PhD Thesis
Two Case Studies of Collective Matrix Factorization Marinka Zitnik - PhD Thesis
#1: Amoeba Marinka Zitnik - PhD Thesis
Search for Bacterial Response Genes 50,000 clonal mutants genetic screen Gram+ defective: genome 12,000 genes swp1, gpi, nagB1 found 7 genes Gram- defective: workload 5 years clkB, spc3, alyL, nip7 estimated ~200 genes Nasser et al (2013) Curr Biol Marinka Zitnik - PhD Thesis
Dictyostelium Bacterial Gene Hunt A data-driven approach 14 data sources 4 Gram- seed genes 9 candidate genes Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
Dictyostelium Bacterial Gene Hunt 8 ABC family Miranda et al. 2013 7 9 Bacterial Development RNA-seq Parikh et al. 2010 Nasser et al. 2013 A data-driven approach R 1,8 R 1,9 R 1,7 10 14 data sources R 1,10 6 Phenotype 1 4 Gram- seed genes Ontology R 1,6 Reactome 9 candidate genes term Gene pathway Θ 1 R 6,5 R 1,5 R 1,2 R 1,4 5 R 6,4 2 KEGG 3 R 2,3 pathway PubMed MeSH R 5,4 identifier 4 R 2,4 descriptor Gene Ontology term Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
Latent Chaining and Profiling 1 Dicty genes G 1 S 1,2 2 Drugs S 2,3 3 Diseases Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
Latent Chaining and Profiling 1 Dicty genes G 1 Dicty genes Drugs Diseases S 1,2 2 Drugs S 2,3 3 Diseases Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
Latent Chaining and Profiling 1 Dicty genes G 1 Dicty genes Drugs Diseases S 1,2 2 = x x Drugs Profile S 2,3 matrix 3 Diseases Dicty genes Diseases Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
1 Dicty genes Latent Chaining Dicty genes Drugs Diseases G 1 S 1,2 2 = x x Drugs and Profiling S 2,3 Profile matrix 3 Diseases Dicty genes Diseases Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
1 Dicty genes Latent Chaining Dicty genes Drugs Diseases G 1 S 1,2 2 = x x Drugs and Profiling S 2,3 Profile matrix 3 Diseases Dicty genes Diseases 8 ABC family Miranda et al. 2013 7 9 Bacterial Development RNA-seq Parikh et al. 2010 Nasser et al. 2013 R 1,8 R 1,9 R 1,7 10 R 1,10 6 Phenotype 1 Ontology R 1,6 Reactome term Gene pathway Θ 1 R 6,5 R 1,5 R 1,2 R 1,4 5 R 6,4 2 KEGG 3 R 2,3 pathway PubMed MeSH R 5,4 identifier 4 R 2,4 descriptor Gene Ontology term Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
1 Dicty genes Latent Chaining Dicty genes Drugs Diseases G 1 S 1,2 2 = x x Drugs and Profiling S 2,3 Profile matrix 3 Diseases Dicty genes Diseases 8 ABC family Miranda et al. 2013 7 9 Bacterial Development RNA-seq Latent chains Parikh et al. 2010 Nasser et al. 2013 R 1,8 R 1,9 R 1,7 10 R 1,10 6 Phenotype 1 Ontology R 1,6 Reactome term Gene pathway Θ 1 R 6,5 R 1,5 R 1,2 R 1,4 5 R 6,4 2 KEGG 3 R 2,3 pathway PubMed MeSH R 5,4 identifier 4 R 2,4 descriptor Gene Ontology term Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
1 Dicty genes Latent Chaining Dicty genes Drugs Diseases G 1 S 1,2 2 = x x Drugs and Profiling S 2,3 Profile matrix 3 Diseases Dicty genes Diseases Latent chains 8 ABC family Miranda et al. 2013 7 9 Bacterial Development RNA-seq Parikh et al. 2010 Nasser et al. 2013 R 1,8 R 1,9 R 1,7 10 R 1,10 6 Phenotype 1 Ontology R 1,6 Reactome term Gene pathway Θ 1 R 6,5 R 1,5 R 1,2 R 1,4 5 R 6,4 2 KEGG 3 R 2,3 pathway PubMed MeSH R 5,4 identifier 4 R 2,4 descriptor Gene Ontology term Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
1 Dicty genes Latent Chaining Dicty genes Drugs Diseases G 1 S 1,2 2 = x x Drugs and Profiling S 2,3 Profile matrix 3 Diseases Dicty genes Diseases Latent chains 8 ABC family Miranda et al. 2013 7 9 Bacterial Development RNA-seq Parikh et al. 2010 Nasser et al. 2013 R 1,8 R 1,9 R 1,7 10 R 1,10 6 Phenotype 1 Ontology R 1,6 Reactome term Gene pathway Θ 1 R 6,5 R 1,5 R 1,2 R 1,4 5 R 6,4 2 KEGG 3 R 2,3 pathway PubMed MeSH R 5,4 identifier 4 R 2,4 descriptor Gene Ontology term Seed genes i ii Chains Candidate iii gene iv v vi Similarity scoring Similarity score Scored aggregation vii candidate gene viii Seed ix genes Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
Dictyostelium Bacterial Gene Hunt Ž itnik et al. PLoS Comp Bio 2015 Marinka Zitnik - PhD Thesis
Dictyostelium Bacterial Gene Hunt cf50-1 sh smlA DDB acbA pt pirA cf rps10 ac abpC sm tirA DDB DDB_G0272184 DDB pikB tr vps46 si pikA rb swp1 DDB ggtA pi DDB_G0288519 DDB pten DG1 DDB_G0288551 ad tra2 DDB DDB_G0286429 DD_ dscA-1 ds cinC gdt udpB pi sfbA DDB modA DDB Ž itnik et al. PLoS Comp Bio 2015 DDB_G0287399 ab Marinka Zitnik - PhD Thesis prmt5
Dictyostelium Bacterial Gene Hunt 10 4 10 3 10 2 10 10 4 10 3 10 2 10 # of D. d cells cf50-1 sh AX4 smlA DDB acbA– acbA pt pirA cf smlA– rps10 ac pikA–/pikB– abpC sm tirA DDB pten– DDB_G0272184 DDB abpC– pikB tr vps46 si modA– pikA rb swp1 DDB cf50-1– ggtA pi tirA– DDB_G0288519 DDB pten DG1 DDB_G0288551 Day 2 Day 3 ad tra2 DDB DDB_G0286429 8/9 predictions correct! DD_ dscA-1 ds 14 data sources cinC gdt udpB 4 Gram- seed genes pi sfbA DDB 9 candidate genes modA DDB Ž itnik et al. PLoS Comp Bio 2015 DDB_G0287399 ab Marinka Zitnik - PhD Thesis prmt5
#2: Functional Genomics Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 4 5 R 45 MeSH PMID Descriptor R 14 R 42 3 1 Experimental R 13 1 Condition 2 Gene 2 R 12 GO Term R 16 R 62 6 6 KEGG Pathway Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 R 45 Pharmacologic MeSH PMID Action Descriptor R 14 R 12 R 42 3 Θ 1 3 1 PMID 1 Experimental R 13 R 13 1 Condition 2 Chemical Gene R 14 2 4 6 R 12 R 46 Depositor Depositor GO Term R 15 Category R 16 R 62 6 5 6 Substructure KEGG Fingerprint Pathway Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 R 45 Pharmacologic MeSH PMID Action Descriptor R 14 R 12 R 42 3 Θ 1 3 1 PMID 1 Experimental R 13 R 13 1 Condition 2 Chemical Gene R 14 2 4 6 R 12 R 46 Depositor Depositor GO Term R 15 Category R 16 R 62 6 5 6 Substructure KEGG Fingerprint Pathway DFMF Prediction task AUC F 1 100 D. discoideum genes 0.799 0.801 1000 D. discoideum genes 0.826 0.823 Whole D. discoideum genome 0.831 0.849 Pharmacologic actions 0.663 0.834 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 R 45 Pharmacologic MeSH PMID Action Descriptor R 14 R 12 R 42 3 Θ 1 3 1 PMID 1 Experimental R 13 R 13 1 Condition 2 Chemical Gene R 14 2 4 6 R 12 R 46 Depositor Depositor GO Term R 15 Category R 16 R 62 6 5 6 Substructure KEGG Fingerprint Pathway DFMF MKL Prediction task AUC AUC AUC F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 R 45 Pharmacologic MeSH PMID Action Descriptor R 14 R 12 R 42 3 Θ 1 3 1 PMID 1 Experimental R 13 R 13 1 Condition 2 Chemical Gene R 14 2 4 6 R 12 R 46 Depositor Depositor GO Term R 15 Category R 16 R 62 6 5 6 Substructure KEGG Fingerprint Pathway DFMF MKL RF Prediction task AUC AUC AUC AUC AUC F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 R 45 Pharmacologic MeSH PMID Action Descriptor R 14 R 12 R 42 3 Θ 1 3 1 PMID 1 Experimental R 13 R 13 1 Condition 2 Chemical Gene R 14 2 4 6 R 12 R 46 Depositor Depositor GO Term R 15 Category R 16 R 62 6 5 6 Substructure KEGG Fingerprint Pathway DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 Pharmacologic R 45 MeSH Action PMID Descriptor R 12 R 14 3 Θ 1 R 42 3 1 PMID 1 R 13 Experimental R 13 1 Condition Chemical 2 R 14 Gene 4 6 2 R R 46 Depositor 12 Depositor R 15 GO Term Category R 16 R 62 6 5 6 Substructure Fingerprint KEGG Pathway DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics 5 2 4 5 Pharmacologic R 45 MeSH Action PMID Descriptor R 12 R 14 3 Θ 1 R 42 3 1 PMID 1 R 13 Experimental R 13 1 Condition Chemical 2 R 14 Gene 4 6 2 R R 46 Depositor 12 Depositor R 15 GO Term Category R 16 R 62 6 5 6 Substructure Fingerprint KEGG Pathway DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics Mining disease associations 5 2 4 5 Ž itnik et al Scientific Reports 2013 Pharmacologic R 45 MeSH Action PMID Descriptor R 12 R 14 3 Θ 1 R 42 3 1 PMID 1 R 13 Experimental R 13 1 Condition Chemical 2 R 14 Gene 4 6 2 R R 46 Depositor 12 Depositor R 15 GO Term Category R 16 R 62 6 5 6 Substructure Fingerprint KEGG Pathway DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics Mining disease associations 5 2 4 5 Ž itnik et al Scientific Reports 2013 Pharmacologic R 45 MeSH Action PMID Descriptor Predicting drug toxicity R 12 R 14 3 Θ 1 R 42 3 1 PMID 1 R 13 Experimental Ž itnik & Zupan Systems Biomedicine 2014 (CAMDA Award) R 13 1 Condition Chemical 2 R 14 Gene 4 6 2 R R 46 Depositor 12 Depositor R 15 GO Term Category R 16 R 62 6 5 6 Substructure Fingerprint KEGG Pathway DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics Mining disease associations 5 2 4 5 Ž itnik et al Scientific Reports 2013 Pharmacologic R 45 MeSH Action PMID Descriptor Predicting drug toxicity R 12 R 14 3 Θ 1 R 42 3 1 PMID 1 R 13 Experimental Ž itnik & Zupan Systems Biomedicine 2014 (CAMDA Award) R 13 1 Condition Chemical 2 R 14 Gene 4 6 2 R R 46 Depositor 12 Depositor Predicting gene functions R 15 GO Term Category R 16 R 62 6 5 Ž itnik & Zupan In PSB 2014 6 Substructure Fingerprint KEGG Pathway DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
#2: Functional Genomics Mining disease associations 5 2 4 5 Ž itnik et al Scientific Reports 2013 Pharmacologic R 45 MeSH Action PMID Descriptor Predicting drug toxicity R 12 R 14 3 Θ 1 R 42 3 1 PMID 1 R 13 Experimental Ž itnik & Zupan Systems Biomedicine 2014 (CAMDA Award) R 13 1 Condition Chemical 2 R 14 Gene 4 6 2 R R 46 Depositor 12 Depositor Predicting gene functions R 15 GO Term Category R 16 R 62 6 5 Ž itnik & Zupan In PSB 2014 6 Substructure Fingerprint KEGG Pathway Predicting cancer survival Ž itnik & Zupan Systems Biomedicine 2015 (CAMDA Award) DFMF MKL RF tri-SPMF Prediction task AUC AUC AUC AUC AUC AUC AUC F 1 F 1 F 1 F 1 100 D. discoideum genes 0.799 0.801 0.801 0.781 0.788 0.788 0.761 0.785 0.785 0.731 0.724 1000 D. discoideum genes 0.826 0.823 0.823 0.787 0.798 0.798 0.767 0.788 0.788 0.756 0.741 Whole D. discoideum genome 0.831 0.849 0.849 0.800 0.821 0.821 0.782 0.801 0.801 0.778 0.787 Pharmacologic actions 0.663 0.834 0.834 0.639 0.811 0.811 0.643 0.819 0.819 0.641 0.810 Ž itnik & Zupan IEEE TPAMI 2015 Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Model parameters Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Model parameters Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Heterogeneous data domain space Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Heterogeneous data domain space Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Key Idea: Transfer of Knowledge Heterogeneous data domain space Context jumping in the latent space Model parameters Objects of one type Data view Marinka Zitnik - PhD Thesis
Transfer of Knowledge: Another Example Network Inference from Mixed Data Marinka Zitnik - PhD Thesis
Marinka Zitnik - PhD Thesis
Direct inference threshold value Marinka Zitnik - PhD Thesis
Direct inference threshold value Model-based inference model parameters Marinka Zitnik - PhD Thesis
Mixed Data Marinka Zitnik - PhD Thesis
Mixed Data RNA-seq count data count transcripts mapped to genomic locations Marinka Zitnik - PhD Thesis
Mixed Data RNA-seq count data l a i n m o o s s n i i o b P e v i t a g count transcripts e mapped to genomic N locations Marinka Zitnik - PhD Thesis
Mixed Data Somatic mutations RNA-seq count data l a i n m o o s s n i i o b P e v i t a g count transcripts e No mutation mapped to genomic N locations Short indel Single base substitution Marinka Zitnik - PhD Thesis
Mixed Data Somatic mutations l a RNA-seq count data l i a i m n m o o o s s n n i i o b i P t e l v u i t M a g count transcripts e No mutation mapped to genomic N locations Short indel Single base substitution Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data is an object of interest Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data is an object of interest Nodes Edges Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data is an object of interest Nodes Edges Object weights Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data is an object of interest Nodes Edges Object weights Object-object interactions Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Objective function Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Objective function Data following distribution Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Objective function Data following Data following distribution distribution Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Objective function Latent factor reuse Data following Data following distribution distribution Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Data Data Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Data Data Marinka Zitnik - PhD Thesis
Network Inference from Mixed Data Data Data Marinka Zitnik - PhD Thesis
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