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            <funder>Ce travail fait partie du plan de ressourcement technologique du CEA 2015 financé par l’Union Européenne dans le cadre du programme opérationnel FEDER-FSE Lorraine et Massif des Vosges 2014-2020.</funder>
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              <p> In this article, we study the Binary Matrix Factorization (BMF), which is similar to the NMF (Nonnegative Matrix Factorization) problem with a binarity constraint on the matrices. A necessary and sufficient condition for the identification of the BMF model is provided. Two algorithms based on the proposed post nonlinear mixture model, which guarantees the binarity of the matrix product, are presented and compared with the state of art.</p>
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              <p>Dans cet article, nous étudions la Factorisation en Matrices Binaires (FMB) qui est un problème similaire à la NMF dans le casdes matrices à valeurs dans l’ensemble {0, 1}. Une condition nécessaire et suffisante d'identifiabilité pour le modèle FMB est fournie. Deuxalgorithmes fondés sur le modèle de mélange post non-linéaire propos´e, qui garantit la binarité du produit matriciel, sont introduits et comparésà ceux de l'état de l’art.</p>
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