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 |