Relax, No Need to Round: Integrality of Clustering Formulations

  title={Relax, No Need to Round: Integrality of Clustering Formulations},
  author={P. Awasthi and A. Bandeira and M. Charikar and R. Krishnaswamy and S. Villar and Rachel Ward},
  journal={Proceedings of the 2015 Conference on Innovations in Theoretical Computer Science},
  • P. Awasthi, A. Bandeira, +3 authors Rachel Ward
  • Published 2015
  • Computer Science, Mathematics
  • Proceedings of the 2015 Conference on Innovations in Theoretical Computer Science
  • We study exact recovery conditions for convex relaxations of point cloud clustering problems, focusing on two of the most common optimization problems for unsupervised clustering: k-means and k-median clustering. Motivations for focusing on convex relaxations are: (a) they come with a certificate of optimality, and (b) they are generic tools which are relatively parameter-free, not tailored to specific assumptions over the input. More precisely, we consider the distributional setting where… CONTINUE READING
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