Alice Le Brigant

collaborators

3 papers

stat.ML2026

On the Wasserstein Geodesic Principal Component Analysis of probability measures

Nina Vesseron, Elsa Cazelles, Alice Le Brigant +1

This paper focuses on Geodesic Principal Component Analysis (GPCA) on a collection of probability distributions using the Otto-Wasserstein geometry. The goal is to identify geodesi…

math.DG2025

Conjugate points on Lie groups with left-invariant metrics

Alice Le Brigant, Leandro Lichtenfelz, Stephen C. Preston

We prove sufficient conditions for the existence of conjugate points along geodesics of a left-invariant metric on a Lie group, using a reformulation of the index form in terms of…

math.DG2025

A Riemannian viewpoint on the Amari-Cencov $I^\pm$ -connections and Proudman-Johnson equations

Martin Bauer, Alice Le Brigant, Cy Maor

We give a new geometric interpretation of the Amari-Cencov $I^\pm$ -connections $\nabla^{(I^\pm)}$ from information geometry: On the space of densities $Dens_{+} (M)$ , we show…

On the Wasserstein Geodesic Principal Component Analysis of probability measures

Conjugate points on Lie groups with left-invariant metrics

A Riemannian viewpoint on the Amari-Cencov I^±-connections and Proudman-Johnson equations

A Riemannian viewpoint on the Amari-Cencov $I^\pm$ -connections and Proudman-Johnson equations