Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:A1L-C

Session:

Number:A1L-C3

New Update Rules based on Kullback-Leibler, Gamma, and Renyi Divergences for Nonnegative Matrix Factorization

Masato Seki,  Norikazu Takahashi,  

pp.48-51

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.A1L-C3

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Summary:
Three new update rules based on Kullback-Leibler divergence, γ-divergence and Renyi divergence for nonnegative matrix factorization are presented in this paper. An important advantage of these update rules is that they are globally convergent in the sense that any sequence of solutions contains at least one convergent subsequence and the limit of any convergent subsequence is a stationary point of the corresponding optimization problem.