IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences
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Regularity spaces in a geometric framework. Examples and application to Gaussian processes and non-parametric statistical adaptive estimation.

  • April 25, 2018
  • 4 p.m.
  • LeConte 312

Abstract

In this talk we first review the theory of Dirichlet spaces, where one can develop regularity spaces and a wavelet system. This theory, for instance, applies to convex subsets of Riemannian manifolds. Then we revisit and generalize some classical results on the behavior of Gaussian processes and non-parametric adaptive statistical estimation.

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