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7 - Gaussian Fields

from Part II - The Game Theoretic Approach

Published online by Cambridge University Press:  10 October 2019

Houman Owhadi
Affiliation:
California Institute of Technology
Clint Scovel
Affiliation:
California Institute of Technology
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Summary

The purpose of this chapter is to introduce the canonical Gaussian field defined bythe energy norm of the operator,which will play a central role in the interplay among the results of the previous chapters, Gaussian process regression, and game theory. The chapter begins witha presentation of basic definitions and results related to Gaussian random variables, Gaussian vectors, Gaussian spaces, Gaussian conditioning, Gaussian processes, Gaussian measures, and Gaussian fields.

Type
Chapter
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Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
From a Game Theoretic Approach to Numerical Approximation and Algorithm Design
, pp. 105 - 118
Publisher: Cambridge University Press
Print publication year: 2019

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  • Gaussian Fields
  • Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
  • Book: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
  • Online publication: 10 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108594967.011
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  • Gaussian Fields
  • Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
  • Book: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
  • Online publication: 10 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108594967.011
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Gaussian Fields
  • Houman Owhadi, California Institute of Technology, Clint Scovel, California Institute of Technology
  • Book: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
  • Online publication: 10 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108594967.011
Available formats
×