Simple and scalable constrained clustering: a generalized spectral method

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...

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Bibliographic Details
Main Author: Cucuringu, M
Format: Conference item
Published: Microtome Publishing 2016
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author Cucuringu, M
author_facet Cucuringu, M
author_sort Cucuringu, M
collection OXFORD
description 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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spelling oxford-uuid:3007d1ea-0b98-43a8-83e5-5c60364d60f72022-03-26T12:59:06ZSimple and scalable constrained clustering: a generalized spectral methodConference itemhttp://purl.org/coar/resource_type/c_5794uuid:3007d1ea-0b98-43a8-83e5-5c60364d60f7Symplectic Elements at OxfordMicrotome Publishing2016Cucuringu, MWe 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.
spellingShingle Cucuringu, M
Simple and scalable constrained clustering: a generalized spectral method
title Simple and scalable constrained clustering: a generalized spectral method
title_full Simple and scalable constrained clustering: a generalized spectral method
title_fullStr Simple and scalable constrained clustering: a generalized spectral method
title_full_unstemmed Simple and scalable constrained clustering: a generalized spectral method
title_short Simple and scalable constrained clustering: a generalized spectral method
title_sort simple and scalable constrained clustering a generalized spectral method
work_keys_str_mv AT cucuringum simpleandscalableconstrainedclusteringageneralizedspectralmethod