A penalized likelihood estimation on transcriptional module-based clustering

  • Authors:
  • Ryo Yoshida;Seiya Imoto;Tomoyuki Higuchi

  • Affiliations:
  • Institute of Statistical Mathematics, Tokyo, Japan;Human Genome Center, Institute of Medical Science, University of Tokyo, Tokyo, Japan;Institute of Statistical Mathematics, Tokyo, Japan

  • Venue:
  • ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
  • Year:
  • 2005

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Abstract

In this paper, we propose a new clustering procedure for high dimensional microarray data. Major difficulty in cluster analysis of microarray data is that the number of samples to be clustered is much smaller than the dimension of data which is equal to the number of genes used in an analysis. In such a case, the applicability of conventional model-based clustering is limited by the occurence of overlearning. A key idea of the proposed method is to seek a linear mapping of data onto the low-dimensional subspace before proceeding to cluster analysis. The linear mapping is constructed such that the transformed data successfully reveal clusters existed in the original data space. A clustering rule is applied to the transformed data rather than the original data. We also establish a link between this method and a probabilistic framework, that is, a penalized likelihood estimation of the mixed factors model. The effectiveness of the proposed method is demonstrated through the real application.