Inproceedings,

Relation between PLSA and NMF and implications

, and .
Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval, page 601--602. New York, NY, USA, ACM, (2005)
DOI: 10.1145/1076034.1076148

Abstract

Non-negative Matrix Factorization (NMF, 5) and Probabilistic Latent Semantic Analysis (PLSA, 4) have been successfully applied to a number of text analysis tasks such as document clustering. Despite their different inspirations, both methods are instances of multinomial PCA 1. We further explore this relationship and first show that PLSA solves the problem of NMF with KL divergence, and then explore the implications of this relationship.

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