Simple and Scalable Constrained Clustering: a Generalized Spectral Method


Mihai Cucuringu, Ioannis Koutis, Sanjay Chawla, Gary Miller, Richard Peng ;
Proceedings of the 19th International Conference on Artificial Intelligence and Statistics, PMLR 51:445-454, 2016.


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.

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