Alexander Katsevich

activity

20232026

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math.ST2026

Discrete to continuum limits in Bayesian inverse problems

Alexander Katsevich

We develop a posterior-level discrete-to-continuum theory for Bayesian inverse problems whose finite-dimensional priors arise from local finite-difference regularization and whose…

math.CA2026

High-dimensional Laplace asymptotics up to the concentration threshold

Alexander Katsevich, Anya Katsevich

We study high-dimensional Laplace-type integrals $I (λ) := (λ /2 π)^{d /2} \int_{R^{d}} g (x) e^{- λ f (x)} d x$ in the regime where both $d$ and $λ$ are large. Existing rigorous Laplace-e…