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20182026
most citedExponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations

26 citations · 100 across the 15 of their papers we have counts for

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math.NA2026

Neural and Spectral Operator Surrogates on Gaussian Spaces

Carlo Marcati, Mario Marić, Christoph Schwab +1

We prove expression rate bounds of finite-parametric, spectral and neural surrogates for holomorphic maps between separable Hilbert spaces. The surrogates have an encoder-approxima…

math.NA2026

Exponential Convergence of -FEM for the Integral Fractional Laplacian on cuboids

Björn Bahr, Markus Faustmann, Carlo Marcati +2

For the Dirichlet integral fractional Laplacian, we prove root exponential convergence of tensor-product -finite element approximations on , for forcing that is an…