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Summary In this chapter, biclustering is studied in a mathematical prospective, including bipartite graphs and optimization models via integer programming. A correspondence between biclustering and graph partitioning is established. In the optimization models, different cuts are used and the integer programming models are presented. We prove that the spectral biclustering for Ratio cut and Normalized...
In this paper, we consider the multi-way clustering problem based on graph partitioning models by the Ratio cut and Normalized cut. We formulate the problem using new quadratic models. Spectral relaxations, new semidefinite programming relaxations and linearization techniques are used to solve these problems. It has been shown that our proposed methods can obtain improved solutions. We also adapt...
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