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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 2173914, 6 pages
http://dx.doi.org/10.1155/2016/2173914
Research Article

An Inexact Update Method with Double Parameters for Nonnegative Matrix Factorization

1School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
2Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
3Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
4Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
5School of Mathematics and Information, Beifang University of Nationalities, Yinchuan 710021, China

Received 14 July 2016; Revised 15 October 2016; Accepted 16 October 2016

Academic Editor: Elisa Francomano

Copyright © 2016 Xiangli Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Nonnegative matrix factorization (NMF) has been used as a powerful date representation tool in real world, because the nonnegativity of matrices is usually required. In recent years, many new methods are available to solve NMF in addition to multiplicative update algorithm, such as gradient descent algorithms, the active set method, and alternating nonnegative least squares (ANLS). In this paper, we propose an inexact update method, with two parameters, which can ensure that the objective function is always descent before the optimal solution is found. Experiment results show that the proposed method is effective.