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arXiv 1601.04746cs.SI
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可伸缩约束聚类:一种广义谱方法

Scalable Constrained Clustering: A Generalized Spectral Method

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

摘要:

我们提出了一个简单的谱方法来研究约束聚类问题。它捕获约束聚类作为一个广义特征值问题与图拉普拉斯算子。该算法工作在近似线性的时间,并提供了具体的保证的质量的集群,至少在2路分区的情况下。在实践中,这转化为一个非常快的实现,始终优于现有的频谱方法在速度和质量。

英文摘要:

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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