Theoretical aspects in penalty hyperparameters optimization

DOI10.1007/s00009-023-02497-warXiv2301.13542OpenAlexW4386578587MaRDI QIDQ6052753

Flavia Esposito, Laura Selicato, Caterina Sportelli

Publication date: 17 October 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.13542

zbMATH Keywords

existence resultslearning approacheshyperparameters optimization

Mathematics Subject Classification ID

Computational learning theory (68Q32) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Existence theories for problems in abstract spaces (49J27)

Cites Work

• Unnamed Item
• Practical bilevel optimization. Algorithms and applications
• On the variational principle
• Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria
• An overview of bilevel optimization
• Convex analysis and monotone operator theory in Hilbert spaces
• Bi-level algorithm for optimizing hyperparameters in penalized nonnegative matrix factorization

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