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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. In this paper the authors propose a novel bi-clustering approach based on a message passing algorithm. The motivation is that most current bi-clustering techniques overcome the computational difficulty of the problem by performing greedy local optimisations. In this paper, the authors propose to overcome this by defining a global likelihood function (eq 1) and then maximising an approximation to this function via message passing. Quality: this is a high quality paper.