Constant along primal rays conjugacies and the l0 pseudonorm

DOI10.1080/02331934.2020.1822836zbMath1495.46059arXiv2001.11828OpenAlexW3105915269MaRDI QIDQ5067346

Michel De Lara, Jean-Philippe Chancelier

Publication date: 1 April 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11828

zbMATH Keywords

Fenchel-Moreau conjugacy\(\ell_0\) pseudonormCapra conjugacycoordinate-\(k\) norm

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Normed linear spaces and Banach spaces; Banach lattices (46B99) Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory (optimization) (49N15)

Related Items (2)

The Capra-subdifferential of the ℓ ₀ pseudonorm ⋮ Unnamed Item

Cites Work

• Relationship between the optimal solutions of least squares regularized with \(\ell_{0}\)-norm and constrained by \(k\)-sparsity
• A variational approach of the rank function
• Invertibility of functional Galois connections
• Increasing convex-along-rays functions with applications to global optimization
• Inf-convolution, sous-additivite, convexite des fonctions numériques
• Hidden Convexity in the l0 Pseudonorm
• Convex analysis and monotone operator theory in Hilbert spaces
• Abstract convexity and global optimization
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