期刊
COMPUTATIONAL STATISTICS & DATA ANALYSIS
卷 52, 期 8, 页码 3913-3927出版社
ELSEVIER
DOI: 10.1016/j.csda.2008.01.011
关键词
-
资金
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [0830780] Funding Source: National Science Foundation
Non-negative Matrix Factorization (NMF) and Probabilistic Latent Semantic Indexing (PLSI) have been successfully applied to document clustering recently. In this paper, we show that PLSI and NMF (with the I-divergence objective function) optimize the same objective function, although PLSI and NMF are different algorithms as verified by experiments. This provides a theoretical basis for a new hybrid method that runs PLSI and NMF alternatively, each jumping out of the local minima of the other method successively, thus achieving a better final solution. Extensive experiments on five real-life datasets show relations between NMF and PLSI, and indicate that the hybrid method leads to significant improvements over NMF-only or PLSI-only methods. We also show that at first-order approximation, NMF is identical to the X-2-statistic. (c) 2008 Published by Elsevier B.V.
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