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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.ST2022
Nonparametric plug-in classifier for multiclass classification of S.D.E. paths
Christophe Denis, Charlotte Dion-Blanc, Eddy Ella Mintsa +1
We study the multiclass classification problem where the features come from the mixture of time-homogeneous diffusions. Specifically, the classes are discriminated by their drift f…