Beta-divergence for Nonnegative Matrix Factorization

Jbari Olaya, Chakkor Otman
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Abstract

The beta-divergences has been largely used in the machine learning literature. In this paper, we will go into detail about what they are, where they come from, their relation with Bregman divergence, and why they are so useful in many machine learning algorithms. In particular, Nonnegative Matrix Factorization (NMF), witch we presented as an example using Majorization-Minimization approach.
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非负矩阵分解的散度
beta散度在机器学习文献中被大量使用。在本文中,我们将详细介绍它们是什么,它们来自哪里,它们与Bregman散度的关系,以及为什么它们在许多机器学习算法中如此有用。特别是非负矩阵分解(NMF),我们将其作为使用最大化-最小化方法的一个例子。
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