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Ordinal Non-negative Matrix Factorization for Recommendation

Gouvert, Olivier and Oberlin, Thomas and Févotte, Cédric Ordinal Non-negative Matrix Factorization for Recommendation. (2020) In: 37th International Conference on Machine Learning (ICML 2020), 12 July 2020 - 18 July 2020 (Virtual, Austria).

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Official URL: http://proceedings.mlr.press/v119/gouvert20a/gouvert20a.pdf


We introduce a new non-negative matrix factorization (NMF) method for ordinal data, called OrdNMF. Ordinal data are categorical data which exhibit a natural ordering between the categories. In particular, they can be found in recommender systems, either with explicit data (such as ratings) or implicit data (such as quantized play counts). OrdNMF is a probabilistic latent factor model that generalizes Bernoulli-Poisson factorization (Be-PoF) and Poisson factorization (PF) applied to binarized data. Contrary to these methods, Ord-NMF circumvents binarization and can exploit a more informative representation of the data. We design an efficient variational algorithm based on a suitable model augmentation and related to variational PF. In particular, our algorithm preserves the scalability of PF and can be applied to huge sparse datasets. We report recommendation experiments on explicit and implicit datasets, and show that OrdNMF outperforms BePoF and PF applied to binarized data.

Item Type:Conference or Workshop Item (Paper)
Additional Information:http://proceedings.mlr.press/v119/
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Laboratory name:
Deposited On:26 Aug 2021 13:38

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