English

On EM algorithms and their proximal generalizations

Computation 2012-01-31 v1

Abstract

In this paper, we analyze the celebrated EM algorithm from the point of view of proximal point algorithms. More precisely, we study a new type of generalization of the EM procedure introduced in \cite{Chretien&Hero:98} and called Kullback-proximal algorithms. The proximal framework allows us to prove new results concerning the cluster points. An essential contribution is a detailed analysis of the case where some cluster points lie on the boundary of the parameter space.

Keywords

Cite

@article{arxiv.1201.5912,
  title  = {On EM algorithms and their proximal generalizations},
  author = {Stéphane Chrétien and Alfred O. Hero},
  journal= {arXiv preprint arXiv:1201.5912},
  year   = {2012}
}
R2 v1 2026-06-21T20:10:58.206Z