Multiclass Total Variation Clustering

Abstract

Ideas from the image processing literature have recently motivated a new set of clustering algorithms that rely on the concept of total variation. While these algorithms perform well for bi-partitioning tasks, their recursive extensions yield unimpressive results for multiclass clustering tasks. This paper presents a general framework for multiclass total variation clustering that does not rely on recursion. The results greatly outperform previous total variation algorithms and compare well with state-of-the-art NMF approaches.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2014
Accession Number
ADA612811

Entities

People

  • David Uminsky
  • James H. Von Brecht
  • Laurent Thomas
  • Xavier Bresson

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Clustering
  • Computational Fluid Dynamics
  • Computations
  • Convex Sets
  • Data Sets
  • Image Processing
  • Indicators
  • Inequalities
  • Iterations
  • Literature
  • Materials
  • Mathematics
  • Splitting
  • Theorems
  • Universities

Fields of Study

  • Computer science

Readers

  • Computer Vision.
  • Linear Algebra
  • Mathematics or Statistics