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Table 1 Summary of notations

From: Fast and robust group-wise eQTL mapping using sparse graphical models

Symbols Description
K Number of SNPs
N Number of genes
D Number of samples
x The random variables of K SNPs
z The random variables of N genes
s The latent variables to model confounding
  factors
y The latent variables to model group-wise
  associaiton
\(\mathbf {X}\in {\mathbb {R}}^{K \times D}\) The SNP matrix data
M Number of latent variables y
H Number of latent variables s
\(\mathbf {Z} \in {\mathbb {R}}^{N \times D}\) The gene expression matrix data
\(\textbf {A} \in \mathbb {R}^{M\times K}\) The coefficient matrix between x and y
\(\textbf {B} \in \mathbb {R}^{N\times M}\) The coefficient matrix between y and z
\(\textbf {C} \in \mathbb {R}^{N\times K}\) The coefficient matrix between x and y
\(\textbf {W} \in \mathbb {R}^{N\times H}\) The coefficient matrix of confounding factors
\(\mathbf {\boldsymbol {\mu }_{\textbf {A}}}\in \mathbb {R}^{M\times 1}\), \(\boldsymbol {\mu }_{\textbf {B}}\in \mathbb {R}^{N\times 1}\) The translation factor vectors