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Relation between PLSA and NMF and implications

Eric Gaussier, Cyril Goutte
The techniques of non-negative matrix factorisation (NMF, [5] and Probabilistic latent semantic analysis (PLSA, [4]) have been succesfully applied to a number of text analysis tasks such as document clustering. Despite their different inspirations, these methods are both 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
The 28th annual International ACM SIGIR, Conference on Research and Development in information retrieval, Salvador, Brazil, August 15-19, 2005.