activity
20062022
most citedRevisiting two strong approximation results of Dudley and Philipp

24 citations · 61 across the 9 of their papers we have counts for

collaborators

9 papers

cs.LG2022★ 1 cited

Generation of non-stationary stochastic fields using Generative Adversarial Networks

Alhasan Abdellatif, Ahmed H. Elsheikh, Daniel Busby +1

In the context of generating geological facies conditioned on observed data, samples corresponding to all possible conditions are not generally available in the training set and he…

cs.LG2022★ 12 cited

Generating unrepresented proportions of geological facies using Generative Adversarial Networks

Alhasan Abdellatif, Ahmed H. Elsheikh, Gavin Graham +2

In this work, we investigate the capacity of Generative Adversarial Networks (GANs) in interpolating and extrapolating facies proportions in a geological dataset. The new generated…

math.ST2020

Cube root weak convergence of empirical estimators of a density level set

Philippe Berthet, John H. J. Einmahl

Given independent random vectors with common density on , we study the weak convergence of three empirical-measure based estimators of the convex -level se…

math.PR2020★ 4 cited

Exact rate of convergence of the mean Wasserstein distance between the empirical and true Gaussian distribution

Philippe Berthet, Jean-Claude Fort

We study the Wasserstein distance for Gaussian samples. We establish the exact rate of convergence of the expected value of the distance between t…

math.PR2019★ 8 cited

Weak convergence of empirical Wasserstein type distances

Philippe Berthet, Jean-Claude Fort

We estimate contrasts between two continuous distributions and on such that the set is a finite union of interval…

math.ST2018★ 5 cited

Auxiliary information : the raking-ratio empirical process

Mickael Albertus, Philippe Berthet

We study the empirical measure associated to a sample of size and modified by iterations of the raking-ratio method. This empirical measure is adjusted to match the true pr…