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Alex Townsend

Operator learning without the adjoint

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Jan 31, 2024
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Operator learning for hyperbolic partial differential equations

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Dec 29, 2023
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A Mathematical Guide to Operator Learning

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Dec 22, 2023
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Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems

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Sep 09, 2023
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Elliptic PDE learning is provably data-efficient

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Feb 24, 2023
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A Quadrature Perspective on Frequency Bias in Neural Network Training with Nonuniform Data

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May 28, 2022
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Learning Green's functions associated with parabolic partial differential equations

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Apr 27, 2022
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Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems

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Nov 29, 2021
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Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks

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Sep 23, 2021
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A generalization of the randomized singular value decomposition

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May 27, 2021
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