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math.ST2026
Optimal score function estimation via derivatives constraints
Thomas Bonis, Thanh Mai Pham Ngoc, Viet Chi Tran
We provide a statistical theory explaining why empirical score matching can achieve minimax optimal performance for diffusion generative models when the data distribution is suppor…
math.PR2026
From stochastic individual-based models to free-boundary Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We study a stochastic branching model for a population structured by a quantitative phenotypic trait and subject to births, deaths, and mutations. In a regime of large population a…