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Table 2 Notations

From: Min-redundancy and max-relevance multi-view feature selection for predicting ovarian cancer survival using multi-omics data

Symbol

Definition and Description

D =  < X, y>

Labeled dataset where X ∈ Rm × n is a matrix of m instances and n features, and y ∈ {0, 1}m is the binary class labels of the instances

xi

ith feature in X

g(xi, xj)

Function that returns the redundancy between two features xi and xj

f(xi, y)

Function that returns the relevance between a feature xi and class labels y

S

Indices of selected features

Ω

Indices of all features

ΩS

Indices of candidate features Ω − S

k

Number of features to be selected

v

Number of views in a multi-view dataset

MVD =  < (X1, …, Xv), y>

Labeled multi-view dataset where \( {X}^i\in {R}^{m\times {n}_i} \) is a matrix of m samples and ni features and y ∈ {0, 1}m is the binary class labels of the instances in all views

Di =  < Xi, y>

ith view in a multi-view dataset

\( {\mathrm{x}}_{\mathrm{j}}^{\mathrm{i}} \)

jth feature in Xi

Si

Indices of selected features from ith view

Ωi

Indices of all features in ith view

\( {\Omega}_{S^i} \)

Indices of candidate features Ωi − Si in ith view