From: Multi-target drug repositioning by bipartite block-wise sparse multi-task learning
Notation | Description |
---|---|
A | p×m matrix with gene expressions for gene therapies. |
B | p×n matrix with gene expressions for drug treatments. |
K | b×b similarity matrix among b drugs. |
p | number of landmark genes whose gene expressions are measured. |
a | number of knockout genes, or the number of column blocks in A. |
b | number of drugs, or the number of column blocks in B. |
m _{ i } | number of signatures for knocking down gene i. |
n _{ j } | number of signatures for treatments using drug j. |
m | \(\sum _{i} m_{i}\),total number of experiments with gene knockout. |
n | \(\sum _{j} n_{j}\),total number of experiments with drug treatment. |
W | m×n matrix with multivariate factors |
W ^{ij} | m_{ i }×n_{ j } matrix, the (i,j) block in W |
W ^{:j} | m×n_{ j } matrix, the (·,j) sub-matrix in W |
W ^{i:} | m_{ i }×n matrix, the (i,·) sub-matrix in W |
K(s,t) | k_{ st }, the (s,t) entry in K. |
\(w^{j}_{l}\) | the lth column in the block W^{:j} |
\(\bar {w}_{j}\) | mean of the columns in W^{:j} |