nonnegative matrix factorization – Page 2

Factoring nonnegative matrices with linear programs

Published: 2012/06/06

Data-Mining, Linear Programming linear programming, machine learning, multicore, nonnegative matrix factorization, parallel computing, stochastic gradient descent

This paper describes a new approach for computing nonnegative matrix factorizations (NMFs) with linear programming. The key idea is a data-driven model for the factorization, in which the most salient features in the data are used to express the remaining features. More precisely, given a data matrix X, the algorithm identifies a matrix C that … Read more

An Alternating Direction Algorithm for Matrix Completion with Nonnegative Factors

Published: 2011/02/06

Data-Mining, Nonsmooth Optimization alternat- ing direction methd, hyperspectral unmixing, matrix completion, nonnegative matrix factorization

This paper introduces a novel algorithm for the nonnegative matrix factorization and completion problem, which aims to nd nonnegative matrices X and Y from a subset of entries of a nonnegative matrix M so that XY approximates M. This problem is closely related to the two existing problems: nonnegative matrix factorization and low-rank matrix completion, … Read more