2 papers
cs.LG2026
Quenched large deviations for Monte Carlo integration with Coulomb gases
Martin Rouault, Rémi Bardenet, Mylène Maïda
Gibbs measures, such as Coulomb gases, are popular in modelling systems of interacting particles. Recently, we proposed to use Gibbs measures as randomized numerical integration al…
cs.LG2026
Monte Carlo with kernel-based Gibbs measures: Guarantees for probabilistic herding
Martin Rouault, Rémi Bardenet, Mylène Maïda
Kernel herding belongs to a family of deterministic quadratures that seek to minimize the maximum mean discrepancy (MMD), that is, the worst-case integration error over a reproduci…