Given two random variables X and Y, an operational approach is undertaken to quantify the
“leakage” of information from X to Y. The resulting measure L (X→ Y) is called maximal …

An underlying question for virtually all single-cell RNA sequencing experiments is how to
allocate the limited sequencing budget: deep sequencing of a few cells or shallow …

Property testing is concerned with the design of super-fast algorithms for the structural
analysis of large quantities of data. The aim is to unveil global features of the data, such as …

Consider the problem of estimating the Shannon entropy of a distribution over elements from
independent samples. We show that the minimax mean-square error is within the universal …

Estimation of Wasserstein distances in the Spiked Transport Model Page 1 Bernoulli 28(4),
2022, 2663–2688 https://doi.org/10.3150/21-BEJ1433 Estimation of Wasserstein distances …

Supplementary material for “Optimal estimation of Gaussian mixtures via denoised method
of moments”. Due to space constraints, additional results are given in the supplementary …

We consider the problem of estimating the L 1 distance between two discrete probability
measures P and Q from empirical data in a nonasymptotic and large alphabet setting. When …

We consider the problem of estimating functionals of discrete distributions, and focus on a
tight (up to universal multiplicative constants for each specific functional) nonasymptotic …

The aim of the present research is to propose a spectral method for solving optimal control
problem indirectly using Boubaker-Turki polynomial functions as basis functions. To achieve …

Optimal rates of entropy estimation over Lipschitz balls Page 1 The Annals of Statistics 2020,
Vol. 48, No. 6, 3228–3250 https://doi.org/10.1214/19-AOS1927 © Institute of Mathematical …