Article ID Journal Published Year Pages File Type
4602221 Linear Algebra and its Applications 2008 6 Pages PDF
Abstract

In this short note, we focus on the use of the generalized Kullback–Leibler (KL) divergence in the problem of non-negative matrix factorization (NMF). We will show that when using the generalized KL divergence as cost function for NMF, the row sums and the column sums of the original matrix are preserved in the approximation. We will use this special characteristic in several approximation problems.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory