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Constrained co-clustering with non-negative matrix factorisation

Co-clustering refers to the problem of deriving sub-matrices of the data matrix by simultaneously clustering the rows (data instances) and columns (features) of the matrix. While very effective in discovering useful knowledge, many of the co-clustering algorithms adopt a completely unsupervised approach. Integration of domain knowledge can guide the co-clustering process and greatly enhance the overall performance. We propose a semi-supervised Non-negative Matrix-factorisation (SS-NMF) based framework to integrate domain knowledge in the form of must-link and cannot-link constraints. Specifically, we augment the data matrix by integrating the constraints using metric learning and then perform NMF to obtain co-clustering. Under the proposed framework, we present two approaches to integrate domain knowledge, viz. a distance metric learning approach and an information theoretic metric learning approach. Through experiments performed on real-world web service data and publicly available text datasets, we demonstrate the performance of the proposed SS-NMF based approach for data co-clustering.