TR2007-083

Probabilistic Latent Variable Models as Non-Negative Factorizations
Date:December 2007
MERL Contact:Bhiksha Raj
Author:Madhusudana Shashanka, Bhiksha Raj, Paris Smaragdis

In this paper we present a family of probabilistic latent variable models which can be used for analysis of non-negative data. We show that there strong ties between non-negative matrix factorization and this family, and we also provide some straightforward extensions which can help in dealing with shift-invariances, higher order decompositions and sparsity constraints. Through these extensions we argue that the use of this approach allows for rapid development of complex statistical models for analyzing non-negative data.

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