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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