Bernard Bercu

collaborators

5 papers

stat.ME2026

Regularized estimation of Monge-Kantorovich quantiles for spherical data

Bernard Bercu, JÃ©rÃ©mie Bigot, Gauthier Thurin

Tools from optimal transport (OT) theory have recently been used to define a notion of quantile function for directional data. In practice, regularization is mandatory for applicat…

math.PR2026

A Central Limit Theorem for the Ewens-Pitman random partition in the large- $I^¸$ regime via a martingale approach

Bernard Bercu, Claudia Contardi, Emanuele Dolera +1

The Ewens-Pitman model defines a distribution on random partitions of ${1, \dots, n}$ , with parameters $I^\pm \in [0, 1)$ and $I^¸ > - I^\pm$ ; the case $I^\pm = 0$ reduces to the classical Ewens…

math.PR2026

A Gaussian process limit for the self-normalized Ewens-Pitman process

Bernard Bercu, Stefano Favaro

For an integer $n \geq 1$ , consider a random partition $I^_{n}$ of ${1, \dots, n}$ into $K_{n}$ partition sets with $K_{r, n}$ partition subsets of size $r = 1, \dots, n$ , and assume $Î…

stat.CO2025

An hybrid stochastic Newton algorithm for logistic regression

In this paper, we investigate a second-order stochastic algorithm for solving large-scale binary classification problems. We propose to make use of a new hybrid stochastic Newton a…

math.PR2025

A new look on large deviations and concentration inequalities for the Ewens-Pitman model