AISTATS 2016poster64 citations

Simple and Scalable Constrained Clustering: a Generalized Spectral Method

Mihai Cucuringu, Ioannis Koutis, Sanjay Chawla, Gary Miller, Richard Peng

Abstract

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.

BibTeX
@InProceedings{pmlr-v51-cucuringu16,
  title = 	 {Simple and Scalable Constrained Clustering: a Generalized Spectral Method},
  author = 	 {Cucuringu, Mihai and Koutis, Ioannis and Chawla, Sanjay and Miller, Gary and Peng, Richard},
  booktitle = 	 {Proceedings of the 19th International Conference on Artificial Intelligence and Statistics},
  pages = 	 {445--454},
  year = 	 {2016},
  editor = 	 {Gretton, Arthur and Robert, Christian C.},
  volume = 	 {51},
  series = 	 {Proceedings of Machine Learning Research},
  address = 	 {Cadiz, Spain},
  month = 	 {09--11 May},
  publisher =    {PMLR},
  pdf = 	 {http://proceedings.mlr.press/v51/cucuringu16.pdf},
  url = 	 {https://proceedings.mlr.press/v51/cucuringu16.html},
  abstract = 	 {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.}
}
Simple and Scalable Constrained Clustering: a Generalized Spectral Method · AISTATS 2016