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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.AP2021★ 16 cited

Weighted analytic regularity for the integral fractional Laplacian in polygons

Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1

We prove weighted analytic regularity of solutions to the Dirichlet problem for the integral fractional Laplacian in polygons with analytic right-hand side. We localize the problem…

math.NA2021★ 26 cited

Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations

Carlo Marcati, Christoph Schwab

We construct and analyze approximation rates of deep operator networks (ONets) between infinite-dimensional spaces that emulate with an exponential rate of convergence the coeffici…