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Table 1 Notations

From: Sparse regression models for unraveling group and individual associations in eQTL mapping

Symbols Description
K Number of SNPs
N Number of genes
H Number of samples
M Number of group-wise associations
x Random variables of K SNPs
z Random variables of N genes
y Latent variables to model group-wise associaiton
\(\mathbf {X}\in {\mathbb {R}}^{K \times H}\) SNP matrix data
\(\mathbf {Z} \in {\mathbb {R}}^{N \times H}\) Gene expression matrix data
\(\mathbf {A} \in \mathbb {R}^{M\times K}\) Group-wise association coefficient matrix between x and y
\(\mathbf {B} \in \mathbb {R}^{N\times M}\) Group-wise association coefficient matrix between y and z
\(\mathbf {C} \in \mathbb {R}^{N\times K}\) Individual association coefficient matrix between x and y
α,β,γ,ρ Regularization parameters
\(\mathbf {R} \in \mathbb {R}^{N\times K}\) Indicator matrix showing which elements in C can be nonzero
  1. Bold term means vector or matrix while non-bold term means scalar