Hidden Convexity in the l0 Pseudonorm

zbMath1458.46064arXiv1906.04038MaRDI QIDQ5144477

Michel De Lara, Jean-Philippe Chancelier

Publication date: 18 January 2021

Full work available at URL: https://arxiv.org/abs/1906.04038

zbMATH Keywords

couplinghidden convexityFenchel-Moreau conjugacy\(\ell^0\)-pseudonorm\(k\)-support normstop-\(k\) norms

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory (optimization) (49N15)

Related Items (4)

Constant along primal rays conjugacies and the l₀ pseudonorm ⋮ Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm ⋮ The Capra-subdifferential of the ℓ ₀ pseudonorm ⋮ Unnamed Item

Cites Work

• A variational approach of the rank function
• Hidden convexity in some nonconvex quadratically constrained quadratic programming
• Inf-convolution, sous-additivite, convexite des fonctions numériques
• On policy independence of conditional expectations
• Variational Analysis
• Convex Analysis
• Convex analysis and monotone operator theory in Hilbert spaces
• Abstract convexity and global optimization
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