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Algorithms and error bounds for multivariate piecewise constant approximation

Davydov, Oleg (2011) Algorithms and error bounds for multivariate piecewise constant approximation. [Proceedings Paper]

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    Abstract

    We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree approximation, as well as recent results about approximation orders achievable on anisotropic partitions.

    Item type: Proceedings Paper
    ID code: 32809
    Keywords: variables , piecewise constants, algorithms, Sobolev-Poincaré inequalities, Haar wavelets , tree approximation, Probabilities. Mathematical statistics
    Subjects: Science > Mathematics > Probabilities. Mathematical statistics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 25 Aug 2011 12:06
      Last modified: 21 Mar 2014 02:41
      URI: http://strathprints.strath.ac.uk/id/eprint/32809

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