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Table 2 Notations

From: Prioritizing disease genes with an improved dual label propagation framework

NOTATION

DESCRIPTION

n

Number of genes

m

Number of phenotypes

X i∙

i-th row of matrix X

X ∙j

j-th column of matrix X

\(\boldsymbol {W}_{1}\in \mathbb {R}^{n\times n}\)

Binary PPI network

\(\boldsymbol {W}_{2}\in \mathbb {R}^{m\times m}\)

Phenotype similarity network

\(\bar {\boldsymbol {S}}_{1}\in \mathbb {R}^{n\times n}\)

Normalized PPI network

 

\(\bar {\boldsymbol {S}}_{1}=\boldsymbol {D}_{1}^{-\frac {1}{2}}\boldsymbol {W}_{1}\boldsymbol {D}_{1}^{-\frac {1}{2}}\)

\(\bar {\boldsymbol {S}}_{2}\in \mathbb {R}^{m\times m}\)

Normalized phenotype similarity network

 

\(\bar {\boldsymbol {S}}_{2}=\boldsymbol {D}_{2}^{-\frac {1}{2}}\boldsymbol {W}_{2}\boldsymbol {D}_{2}^{-\frac {1}{2}}\)

\(\hat {\boldsymbol {Y}}\in \mathbb {R}^{n\times m}\)

Known binary gene-phenotype associations for training

\(\boldsymbol {{Y}}\in \mathbb {R}^{n\times m}\)

Gene-phenotype associations matrix to be learnt

\({\boldsymbol {S}}_{1}\in \mathbb {R}^{n\times n}\)

Weighted PPI network to be learnt

\({\boldsymbol {S}}_{2}\in \mathbb {R}^{m\times m}\)

Weighted phenotype similarity network to be learnt