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Scalable Constrained Clustering: A Generalized Spectral M...
Mihai Cucuringu, Ioannis Koutis, Sanjay Chawla, Gary Miller, Ric · 2016-01-19 · via cs.SI updates on arXiv.org

We present a simple spectral approach to the well-studied constrained clustering problem. It captures constrained clustering as a generalized eigenvalue problem with graph Laplacians. The algorithm works in nearly-linear time and provides concrete guarantees for the quality of the clusters, at least for the case of 2-way partitioning. In practice this translates to a very fast implementation that consistently outperforms existing spectral approaches both in speed and quality.