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Preprints, Working Papers, ... Year : 2024

Joint decomposition of multichannel signals with multimarginal optimal transport

Abstract

The joint decomposition of a sequence of signals is addressed, where each signal is coded within a predefined dictionary. We propose a convex variational formulation involving a regularization term based on optimal transport. The latter is designed so as to promote proximity between neighboring channels. Two kinds of regularization criteria are designed, cor- responding to distinct cross-channel information on the transport of dictionary atoms from one channel to another. The resulting optimization problems are reformulated as quadratic programs and solved using a proximal algorithm. The proposed approach is analyzed for a multichannel deconvolution problem.
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Dates and versions

hal-04501738 , version 1 (12-03-2024)
hal-04501738 , version 2 (10-06-2024)

Identifiers

  • HAL Id : hal-04501738 , version 2

Cite

Jean Mallejac, Jérôme Idier, Charles Soussen, Xiangyi Li. Joint decomposition of multichannel signals with multimarginal optimal transport. 2024. ⟨hal-04501738v2⟩
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