Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization

H. Owhadi,C. Scovel

Published 2019 in Unknown venue

ABSTRACT

This introduction reviews, summarizes, and illustrates fundamental connections between Bayesian inference, numerical quadrature, Gausssian process regression, polyharmonic splines, information-based complexity, optimal recovery, and game theory that form the basis of the book. This is followed by describing a sample of the results derived from these interplays, including those in numerical homogenization, operator-adapted wavelets, fast solvers, and Gaussian process regression. It finishes with an outline of the structure of the book.

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