TR2007-083
Probabilistic Latent Variable Models as Non-Negative Factorizations
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- "Probabilistic Latent Variable Models as Non-Negative Factorizations", Tech. Rep. TR2007-083, Mitsubishi Electric Research Laboratories, Cambridge, MA, December 2007.BibTeX TR2007-083 PDF
- @techreport{MERL_TR2007-083,
- author = {Madhusudana Shashanka, Bhiksha Raj, Paris Smaragdis},
- title = {Probabilistic Latent Variable Models as Non-Negative Factorizations},
- institution = {MERL - Mitsubishi Electric Research Laboratories},
- address = {Cambridge, MA 02139},
- number = {TR2007-083},
- month = dec,
- year = 2007,
- url = {https://www.merl.com/publications/TR2007-083/}
- }
,
- "Probabilistic Latent Variable Models as Non-Negative Factorizations", Tech. Rep. TR2007-083, Mitsubishi Electric Research Laboratories, Cambridge, MA, December 2007.
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Research Areas:
Abstract:
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.