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math.ST2026
Minimax Operator Learning for Holomorphic Maps between Hilbert Spaces
Ly Duc Hoang, Sven Wang, Jakob Zech
We consider the problem of learning nonlinear operators from finitely many noisy observations. While finite-regularity classes such as Lipschitz- or…
math.ST2026
Bayesian Operator Learning: Posterior Existence and Convergence of Point Estimates for Gaussian Priors
Niklas Reinhardt, Jakob Zech
We develop a Bayesian framework for learning nonlinear operators between infinite-dimensional spaces. Given a map between separable Hilbert spaces,…