Nonnegative Matrix Factorization based on the Geometry of Positive Numbers |
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| Authors: | Ben Jeuris Bruno Iannazzo Filippo Pompili |
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| Institution: | 1. KU Leuven, Leuven, Belgium.;2. Università degli Studi di Perugia, Perugia, Italy. |
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| Abstract: | We 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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