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Optimization of lipschitz continuous functions
Mathematical Programming, 1977This paper contains basic results that are useful for building algorithms for the optimization of Lipschitz continuous functionsf on compact subsets of En. In this settingf is differentiable a.e. The theory involves a set-valued mappingxźźźf(x) whose range is the convex hull of existing values of źf and limits of źf on a closedź-ball,B(x, ź).
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We investigate Lipschitz symmetric functions on a Banach space with a symmetric basis. We consider power symmetric polynomials on or and show that they are Lipschitz on the unbounded subset of consisting of vectors on or such that .
Danyliv I., Martsinkiv M.
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Danyliv I., Martsinkiv M.
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Combining Lipschitz and RBF surrogate models for high-dimensional computationally expensive problems
Information Sciences, 2023Jakub Kůdela, Radomil Matousek
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Extension of lipschitz functions
Mathematical Notes of the Academy of Sciences of the USSR, 1980openaire +2 more sources
Lipschitz properties of the scalarization function and applications
Optimization, 2010Christiane Tammer, Constantin Zalinescu
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Smoothing Neural Network for Constrained Non-Lipschitz Optimization With Applications
IEEE Transactions on Neural Networks and Learning Systems, 2012Wei Bian, xiaojun chen
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