Dans cet article, nous proposons une approche générique pour les décompositions booléennes de matrices de données binaires. Dans notre approche, les matrices binaires de rang 1 du modèle de factorisation peuvent être combinées par une fonction booléenne arbitraire, généralisant ainsi le modèle standard de factorisation booléenne, où la...
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September 6, 2022 (v1)Conference paperUploaded on: February 22, 2023
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June 4, 2023 (v1)Conference paper
We introduce a versatile approach for Boolean factorization of binary data matrices based on a projected hierarchical alternating least squares method. The general model considered in this work allows for an arbitrary Boolean combination of the binary rank-1 terms. The underlying approximation problem is tackled by relaxing the binary...
Uploaded on: November 25, 2023 -
May 2023 (v1)Journal article
In this paper, we propose a generalized framework for fitting Boolean matrix factorization models to binary data. In this generalized setting, the binary rank-1 components of the underlying model can be combined by any Boolean function, thus extending the standard Boolean matrix factorization model, where the combination is restricted to the...
Uploaded on: March 25, 2023 -
January 8, 2021 (v1)Journal article
Over the last two decades, tensor-based methods have received growing attention in the signal processing community. In this work, we propose a comprehensive overview of tensor-based models and methods for multisensor signal processing. We present for instance the Tucker decomposition, the Canonical Polyadic Decomposition (CPD), the Tensor-Train...
Uploaded on: December 4, 2022