Probabilistic Latent Variable Models as Nonnegative Factorizations

Shashanka, Madhusudana; Raj, Bhiksha; Smaragdis, Paris
January 2008
Computational Intelligence & Neuroscience;2008 Supplement, Special section p1
Academic Journal
This paper presents a family of probabilistic latent variable models that can be used for analysis of nonnegative data. We show that there are strong ties between nonnegative matrix factorization and this family, and provide some straightforward extensions which can help in dealing with shift invariances, higher-order decompositions and sparsity constraints. We argue through these extensions that the use of this approach allows for rapid development of complex statistical models for analyzing nonnegative data.


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