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The Frame Kernel Method for Multiscale Operator Learning

Published • Sep 1, 2026
Authors:
Branden Frieden
,
Ryan Whitehead
,
M. Keith Ballard

Abstract

We present a natively multiscale operator learning method for the surrogate modeling of (numerical solvers for) multiscale partial differential equations (PDEs). The primary novelty of our method lies in a novel multiscale kernel frame function approximation technique. Leveraging this new kernel fra...

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