Table 1 Glossary of variables and symbols used in the paper.
From: A Protein Interaction Information-based Generative Model for Enhancing Gene Clustering
Logic Symbols | Values |
|---|---|
Π(P) | Set of solutions at Pareto front |
\({\pi }_{M}^{(P)}\) | Mth solution(partitioning) at Pareto front |
\({\mathbb{M}}\) | Proposed model |
G | Gene expression profile |
N | Number of genes in the gene expression profile |
F | Number of samples(features) in each gene |
gi | ith gene of the gene expression profile |
\(\widehat{G}\) | Prepossessed gene expression profile |
\(\widehat{N}\) | Number of prepossessed gene |
S | Non-dominated solutions of the proposed multi-objective optimization based clustering |
D | Number of non-dominated solutions |
\({\mathbb{MO}}\) | Proposed multi-objective optimization based clustering technique |
Li | Label of ith non-dominated solution |
λ | Weak label function |
pθ | Proposed generative model |
\({\mathbb{G}}\) | Factor graph |
Λ | Label matrix of size \(\widehat{N}\times (D\ +\ 3)\) |
Y | Vector of final probabilistic labels |
ϕ | Factors of the factor graph |
θ | Parameters of the factor graph |
P | Pareto front |
αij | Confidence score of the interaction between the proteins gi and gj |
K | Number of cluster centers in a solution |
Ci | ith cluster of any solution or partitioning |
f | Objective function |
