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Model-Based Co-clustering for Continuous Data

The co-clustering consists in reorganizing a data matrix into homogeneous blocks by considering simultaneously the sets of rows and columns. Setting this aim in model-based clustering, adapted block latent models were proposed for binary data and co-occurrence matrix. Regarding continuous data, the latent block model is not appropriated in many cases. As non-negative matrix factorization, it treats symmetrically the two sets, and the estimation of associated parameters requires a variational approximation. In this paper we focus on continuous data matrix without restriction to non negative matrix. We propose a parsimonious mixture model allowing to overcome the limits of the latent block model.