Abstract

Suppose that A is a nonnegative n×m real matrix. The NMF problem is the determination of two nonnegative real matrices F, V so that A=FV with intermediate dimension p, smaller than min{n,m}. In this article we present a general method for the determination of two nonnegative real factors F,V of A, based on the theory of lattice-subspaces and positive bases.

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