Author

Sven Wang

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Preprint Oct 2026

Minimax Operator Learning for Holomorphic Maps between Hilbert Spaces

We consider the problem of learning nonlinear operators $G_0: \mathcal X\to \mathcal Y$ from finitely many noisy observations. While finite-regularity classes such as Lipschitz- or $C^k$-operators suffer from the curse of sample complexity (i.e. algebraic sample complexity is impossible), algebraic convergence rates ca...

Ly Duc Hoang, Sven Wang, Jakob Zech · 0 citations

Preprint Sep 2026

Bernstein--von Mises theorems for Bayesian probabilistic numerics

We study probabilistic numerical methods for solving nonlinear PDEs from a Bayesian nonparametric perspective. Given noisy evaluations at random collocation points, we place a truncated Gaussian series prior on the unknown solution and establish contraction at the minimax nonparametric rate, up to a logarithmic factor....

Sascha Gaudlitz, Sven Wang · 0 citations