Table 2 List of notations
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 |