2 citations · 4 across the 8 of their papers we have counts for
8 papers
On the Private Estimation of Smooth Transport Maps
Clément Lalanne, Franck Iutzeler, Jean-Michel Loubes +1
Estimating optimal transport maps between two distributions from respective samples is an important element for many machine learning methods. To do so, rather than extending discr…
Locally sharp goodness-of-fit testing in sup norm for high-dimensional counts
Subhodh Kotekal, Julien Chhor, Chao Gao
We consider testing the goodness-of-fit of a distribution against alternatives separated in sup norm. We study the twin settings of Poisson-generated count data with a large number…
Generalized multi-view model: Adaptive density estimation under low-rank constraints
Julien Chhor, Olga Klopp, Alexandre Tsybakov
We study the problem of bivariate discrete or continuous probability density estimation under low-rank constraints.For discrete distributions, we assume that the two-dimensional ar…
Sparse Signal Detection in Heteroscedastic Gaussian Sequence Models: Sharp Minimax Rates
Julien Chhor, Rajarshi Mukherjee, Subhabrata Sen
Given a heterogeneous Gaussian sequence model with unknown mean and known covariance matrix , we study the signal det…
Benign overfitting and adaptive nonparametric regression
Julien Chhor, Suzanne Sigalla, Alexandre B. Tsybakov
In the nonparametric regression setting, we construct an estimator which is a continuous function interpolating the data points with high probability, while attaining minimax optim…
Robust Estimation of Discrete Distributions under Local Differential Privacy
Julien Chhor, Flore Sentenac
Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the prob…
Goodness-of-Fit Testing for Hölder-Continuous Densities: Sharp Local Minimax Rates
Julien Chhor, Alexandra Carpentier
We consider the goodness-of fit testing problem for Hölder smooth densities over : given iid observations with unknown density and given a known density …
Sharp Local Minimax Rates for Goodness-of-Fit Testing in multivariate Binomial and Poisson families and in multinomials
J. Chhor, A. Carpentier
We consider the identity testing problem - or goodness-of-fit testing problem - in multivariate binomial families, multivariate Poisson families and multinomial distributions. Give…