Bregman散度与β散度的关系及其应用
Relationship between the Bregman divergence and beta-divergence and their Applications
摘要：
布雷格曼分歧一直是几个研究的主题。我们不去做一个详尽的研究，它的子类，但提出了一个证明，表明\b{eta} -分歧的Bregman分歧的子类。正是按照这种思想顺序，我们将提出一个证明命题，证明\b{eta} -发散是Bregman发散的特殊情况。我们也将提出算法和它们的应用，以显示我们的方法的一致性。这对于许多应用是有意义的，因为这些发散被广泛用于瞬时非负矩阵分解（NMF）。
英文摘要：
The Bregman divergence have been the subject of several studies. We do not go to do an exhaustive study of its subclasses, but propose a proof that shows that the \b{eta}-divergence are subclasses of the Bregman divergences. It is in this order of idea that we will make a proposition of demonstration which shows that the \b{eta}-divergence are particular cases of the Bregman divergence. And also we will propose algorithms and their applications to show the consistency of our approach. This is of interest for numerous applications since these divergences are widely used for instant non-negative matrix factorization (NMF).
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