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New penalized criteria for smooth non-negative tensor factorization with missing entries

Abstract : Tensor factorization models are widely used in many applied fields such as chemometrics, psychometrics, computer vision or communication networks. Real life data collection is often subject to errors, resulting in missing data. Here we focus in understanding how this issue should be dealt with for nonnegative tensor factorization. We investigate several criteria used for non-negative tensor factorization in the case where some entries are missing. In particular we show how smoothness penalties can compensate the presence of missing values in order to ensure the existence of an optimum. This lead us to propose new criteria with efficient numerical optimization algorithms. Numerical experiments are conducted to support our claims.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03615137
Contributor : Amaury Durand Connect in order to contact the contributor
Submitted on : Monday, March 21, 2022 - 12:22:13 PM
Last modification on : Thursday, March 24, 2022 - 3:35:32 AM

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  • HAL Id : hal-03615137, version 1
  • ARXIV : 2203.11514

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Amaury Durand, François Roueff, Jean-Marc Jicquel, Nicolas Paul. New penalized criteria for smooth non-negative tensor factorization with missing entries. 2022. ⟨hal-03615137⟩

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