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A minimax principle for the optimal error of Monte Carlo methods

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Publication:1205134
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DOI10.1007/BF01229334zbMath0762.41032OpenAlexW2110227994MaRDI QIDQ1205134

Peter Mathé

Publication date: 1 April 1993

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229334


zbMATH Keywords

Monte Carlo methodsoptimal error


Mathematics Subject Classification ID

Monte Carlo methods (65C05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


Related Items

Estimates of probabilistic widths of the diagonal operator of finite-dimensional sets with the Gaussian measure ⋮ Discontinuous information in the worst case and randomized settings ⋮ Approximation characteristics for diagonal operators in different computational settings ⋮ The additional symmetries for the BTL and CTL hierarchies



Cites Work

  • s-numbers in information-based complexity
  • Can adaption help on the average?
  • The algorithm designer versus nature: A game-theoretic approach to information-based complexity
  • Random approximation of Sobolev embeddings
  • A course on optimization and best approximation
  • Statistical Decision Functions
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