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math.ST2026
Bernstein--von Mises theorems for Bayesian probabilistic numerics
Sascha Gaudlitz, Sven Wang
We study probabilistic numerical methods for solving nonlinear PDEs from a Bayesian nonparametric perspective. Given noisy evaluations at random collocation points, we place a trun…
math.ST2026
Global polynomial-time estimation in statistical nonlinear inverse problems via generalized stability
Sven Wang
Non-linear statistical inverse problems pose major challenges both for statistical analysis and computation. Likelihood-based estimators typically lead to non-convex and possibly m…