full
search.png

Search

close.png

Cancel

arrow
Volume 10, Issue 2
Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization

Chun-Mei Li, Lin-Zhang Lu & Zhen Chen

DOI: 10.4208/eajam.150419.140719

East Asian J. Appl. Math., 10 (2020), pp. 256-273.

Published online: 2020-04

Preview Purchase PDF 2248 40357

Cited by

google scholar semantic scholar
Export citation
  • 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. 

  • Keywords

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

  • AMS Subject Headings

15A48, 15A23, 65F30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lengyue123@126.com (Chun-Mei Li)

zchen@gznu.edu.cn (Zhen Chen)

  • BibTex
  • RIS
  • TXT
@Article{EAJAM-10-256, author = {Li , Chun-MeiLu , Lin-Zhang and Chen , Zhen}, title = {Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization }, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {2}, pages = {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. 

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.150419.140719}, url = {http://global-sci.org/intro/article_detail/eajam/16137.html} }
TY - JOUR T1 - Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization AU - Li , Chun-Mei AU - Lu , Lin-Zhang AU - Chen , Zhen JO - East Asian Journal on Applied Mathematics VL - 2 SP - 256 EP - 273 PY - 2020 DA - 2020/04 SN - 10 DO - http://doi.org/10.4208/eajam.150419.140719 UR - https://global-sci.org/intro/article_detail/eajam/16137.html KW - Nonnegative matrix factorisation, necessary condition, PANLS method, ELS technique, clustering analysis. AB -

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. 

Li , Chun-MeiLu , Lin-Zhang and Chen , Zhen. (2020). Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization . East Asian Journal on Applied Mathematics. 10 (2). 256-273. doi:10.4208/eajam.150419.140719
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard