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3 papers

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…

stat.ML2025

Fairness Meets Privacy: Integrating Differential Privacy and Demographic Parity in Multi-class Classification

Lilian Say, Christophe Denis, Rafael Pinot

The increasing use of machine learning in sensitive applications demands algorithms that simultaneously preserve data privacy and ensure fairness across potentially sensitive sub-p…

math.PR2025

Weak conditional propagation of chaos for systems of interacting particles with nearly stable jumps

Eva Löcherbach, Dasha Loukianova, Elisa Marini

We consider a system of interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical measure of the system. Every…