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cs.LG2026
Operator Surrogates
Christoph Schwab, Josephine Westermann, Jakob Zech
This chapter provides a mathematical introduction to operator surrogates, which are finite-parametric maps approximating complex (typically nonlinear) operators between infinite-di…
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…