Sparse Biclustering of Transposable Data

作者：Tan Kean Ming^*; Witten Daniela M

来源：Journal of Computational and Graphical Statistics, 2014, 23(4): 985-1008.

DOI：10.1080/10618600.2013.852554

• l(1) penalty
• Gene expression
• Unsupervised learning
• Matrix-variate normal distribution
• Clustering

We consider the task of simultaneously clustering the rows and columns of a large transposable data matrix. We assume that the matrix elements are normally distributed with a bicluster-specific mean term and a common variance, and perform biclustering by maximizing the corresponding log-likelihood. We apply an l(1) penalty to the means of the biclusters to obtain sparse and interpretable biclusters. Our proposal amounts to a sparse, symmetrized version of k-means clustering. We show that k-means clustering of the rows and of the columns of a data matrix can be seen as special cases of our proposal, and that a relaxation of our proposal yields the singular value decomposition. In addition, we propose a framework for biclustering based on the matrix-variate normal distribution. The performances of our proposals are demonstrated in a simulation study and on a gene expression dataset. This article has supplementary material online.

• 出版日期2014-10-2