Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization

Abstract

Given a matrix M (not necessarily nonnegative) and a factorization rank r, semi-nonnegative matrix factorization (semi-NMF) looks for a matrix U with r columns and a nonnegative matrix V with r rows such that UV is the best possible approximation of M according to some metric. In this paper, we study the properties of semi-NMF from which we develop exact… (More)
DOI: 10.1137/140993272

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