collaborators

4 papers

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…

math.NA2025

Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes

Carlo Marcati, Christoph Schwab

We study the approximation rates of a class of deep neural network approximations of operators which arise as data-to-solution maps of linear elliptic partial differe…

math.NA2025

Sparsity for Infinite-Parametric Holomorphic Functions on Gaussian Spaces

Carlo Marcati, Christoph Schwab, Jakob Zech

We investigate the sparsity of Wiener polynomial chaos expansions of holomorphic maps on Gaussian Hilbert spaces, as arise in the coefficient-to-solution maps of line…