Nonnegative Matrix Factorization based on the Geometry of Positive Numbers

Publisher： John Wiley & Sons Inc

E-ISSN： 1617-7061|15|1|661-662

ISSN： 1617-7061

Source： PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS (ELECTRONIC), Vol.15, Iss.1, 2015-10, pp. : 661-662

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Abstract

AbstractWe consider the problem of nonnegative matrix factorization where the typical objective function is altered based on geometrical arguments. A noneuclidean geometry on positive real numbers is used to describe the nonnegative entries of a nonnegative matrix, influencing the factorization model. We design an optimization procedure from a differential geometric point of view for the newly proposed model. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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