The Capra-subdifferential of the ℓ 0 pseudonorm

DOI10.1080/02331934.2022.2145172arXiv2112.15335OpenAlexW4225594322MaRDI QIDQ6194128

Unnamed Author, Michel De Lara, Jean-Philippe Chancelier

Publication date: 19 March 2024

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15335

zbMATH Keywords

generalized subdifferentialsparsity\(\ell_0\) pseudonormCapra-coupling

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

• Generalized subdifferentials of the rank function
• Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm
• Finding a Sparse Vector in a Subspace: Linear Sparsity Using Alternating Directions
• A Continuous Exact $\ell_0$ Penalty (CEL0) for Least Squares Regularized Problem
• Constant along primal rays conjugacies and the l₀ pseudonorm
• Hidden Convexity in the l0 Pseudonorm
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