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ARC Colloquium: Ravi Kannan, Microsoft Research, India

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Title: k-MEANS REVISITED

Abstract:

In many applications, fairly fast clustering algorithms seem to yield the desired solution. Theoretically, two types of assumptions lead to provably fast algorithms for clustering:

(i) stochastic (mixture) models of data and (ii) uniqueness of optimal solution even under perturbations of data. We show that under an assumption weaker than either of these, Lloyd's (k-means) algorithm converges to the correct solution. We apply the result to the planted clique problem.

Joint work with Amit Kumar.

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Status

  • Workflow status: Published
  • Created by: Elizabeth Ndongi
  • Created: 08/31/2012
  • Modified By: Fletcher Moore
  • Modified: 10/07/2016

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