English

Multiclass Total Variation Clustering

Machine Learning 2013-06-06 v1 Machine Learning Optimization and Control

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.

Keywords

Cite

@article{arxiv.1306.1185,
  title  = {Multiclass Total Variation Clustering},
  author = {Xavier Bresson and Thomas Laurent and David Uminsky and James H. von Brecht},
  journal= {arXiv preprint arXiv:1306.1185},
  year   = {2013}
}
R2 v1 2026-06-22T00:28:40.719Z