Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization

Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization

Year:    2020

Author:    Chun-Mei Li, Lin-Zhang Lu, Zhen Chen

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 256–273

Abstract

The $Q$-weighted nonnegative matrix tri-factorisation problem arising in clustering analysis is considered and a necessary condition for its optimal solution is obtained. The problem is solved by the proximal alternating nonnegative least squares method supplemented by an acceleration scheme. The convergence of the methods is studied. Numerical examples show the feasibility and efficiency of the methods proposed. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.150419.140719

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 256–273

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Nonnegative matrix factorisation necessary condition PANLS method ELS technique clustering analysis.

Author Details

Chun-Mei Li

Lin-Zhang Lu

Zhen Chen