A modified em algorithm for mixture models based on Bregman divergence

研究成果: Article査読

7 被引用数 (Scopus)

抄録

The EM algorithm is a sophisticated method for estimating statistical models with hidden variables based on the Kullback-Leibler divergence. A natural extension of the Kullback-Leibler divergence is given by a class of Bregman divergences, which in general enjoy robustness to contamination data in statistical inference. In this paper, a modification of the EM algorithm based on the Bregman divergence is proposed for estimating finite mixture models. The proposed algorithm is geometrically interpreted as a sequence of projections induced from the Bregman divergence. Since a rigorous algorithm includes a nonlinear optimization procedure, two simplification methods for reducing computational difficulty are also discussed from a geometrical viewpoint. Numerical experiments on a toy problem are carried out to confirm appropriateness of the simplifications.

本文言語English
ページ(範囲)3-25
ページ数23
ジャーナルAnnals of the Institute of Statistical Mathematics
59
1
DOI
出版ステータスPublished - 2007 3 1

ASJC Scopus subject areas

  • 統計学および確率

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