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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
James von Brecht
Title: Total Variation Clustering

Abstract: A popular class of clustering models rely on the minimization of an energy defined over the set of admissible partitions of a data set. These discrete optimizations usually pose NP-hard problems, however. A natural resolution of this issue involves relaxing the discrete minimization space into a continuous one to obtain an easier minimization procedure. Many current algorithms, such as spectral clustering or non-negative matrix factorization, follow this relaxation approach. Ideas from the imaging science literature have recently motivated a new set of algorithms that use total variation relaxations instead. We will summarize the motivation behind the total variation approach, in terms of both theoretical and algorithmic results, and provide a comparison to other state-of-the-art approaches.

Date: Tuesday, September 17, 2013
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer