39 citations · 39 across the 6 of their papers we have counts for
6 papers
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…
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…
Goodness-of-fit testing for the stationary density of a size-structured PDE
Van Ha Hoang, Phu Thanh Nguyen, Thanh Mai Pham Ngoc +2
We consider two division models for structured cell populations, where cells can grow, age and divide. These models have been introduced in the literature under the denomination of…
Random walks on simplicial complexes
Thomas Bonis, Laurent Decreusefond, Viet Chi Tran +1
The notion of Laplacian of a graph can be generalized to simplicial complexes and hypergraphs, and contains information on the topology of these structures. Even for a graph, the c…
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…
Slow and fast scales for superprocess limits of age-structured populations
Sylvie Méléard, Viet Chi Tran
A superprocess limit for an interacting birth-death particle system modelling a population with trait and physical age-structures is established. Traits of newborn offspring are in…