A coCluster of a m?n matrix X is a submatrix determined by a subset of the rows and a subset of the columns. The problem of finding coClusters with specific properties is of interest, in particular, in the analysis of microarray experiments. In that case the entries of the matrix X are the expression levels of m genes in each of n tissue samples. One goal of the analysis is to extract a subset of the samples and a subset of the genes, such that the expression levels of the chosen genes behave similarly across the subset of the samples, presumably reflecting an underlying regulatory mechanism governing the expression level of the genes. We propose to base the similarity of the genes in a coCluster on a simple biological model, in which the strength of the regulatory mechanism in sample j is Hj, and the response strength of gene i to the regulatory mechanism is Gi. In other words, every two genes participating in a good coCluster should have expression values in each of the participatin...
Avraham A. Melkman, Eran Shaham