30 citations · 42 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
Adaptive estimation for nonparametric circular regression with errors in variables
Tien Dat Nguyen, Thanh Mai Pham Ngoc
This paper investigates the nonparametric estimation of a circular regression function in an errors-in-variables framework. Two settings are studied, depending on whether the covar…
Adaptive warped kernel estimation for nonparametric regression with circular responses
Tien Dat Nguyen, Thanh Mai Pham Ngoc, Vincent Rivoirard
In this paper, we deal with nonparametric regression for circular data, meaning that observations are represented by points lying on the unit circle. We propose a kernel estimation…
Adaptive optimal kernel density estimation for directional data
Thanh Mai Pham Ngoc
We focus on the nonparametric density estimation problem with directional data. We propose a new rule for bandwidth selection for kernel density estimation. Our procedure is automa…
Adaptive wavelet multivariate regression with errors in variables
Michaël Chichignoud, Van Ha Hoang, Thanh Mai Pham Ngoc +1
In the multidimensional setting, we consider the errors-in-variables model. We aim at estimating the unknown nonparametric multivariate regression function with errors in the covar…
Regression in random design and Bayesian warped wavelets estimators
Thanh Mai Pham Ngoc
In this paper we deal with the regression problem in a random design setting. We investigate asymptotic optimality under minimax point of view of various Bayesian rules based on wa…
Localized spherical deconvolution
Gérard Kerkyacharian, Thanh Mai Pham Ngoc, Dominique Picard
We provide a new algorithm for the treatment of the deconvolution problem on the sphere which combines the traditional SVD inversion with an appropriate thresholding technique in a…
Statistical minimax approach of the Hausdorff moment problem
Thanh Mai Pham Ngoc
The purpose of this paper is to study the problem of estimating a compactly supported density of probability from noisy observations of its moments. In fact, we provide a statistic…