Optimal algorithms for global optimization in case of unknown Lipschitz constant

Author Matthias U. Horn



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Matthias U. Horn

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Matthias U. Horn. Optimal algorithms for global optimization in case of unknown Lipschitz constant. In Algorithms and Complexity for Continuous Problems. Dagstuhl Seminar Proceedings, Volume 4401, pp. 1-22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
https://doi.org/10.4230/DagSemProc.04401.11

Abstract

We consider a family of function classes which allow functions with several minima and which demand only Lipschitz continuity for smoothness. We present an algorithm almost optimal for each of these classes.
Keywords
  • Global optimization
  • Lipschitz functions
  • optimal rate of convergence
  • complexity

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