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communication [at] ens-paris-saclay.fr (Communication)
Andreas Eberle

Coupling and convergence for Hamiltonian Monte Carlo

Andreas Eberle (Bonn University), will give a lecture, organized by the CMLA, about "Coupling and convergence for Hamiltonian Monte Carlo", the 24th october.
Ajouter à mon agenda 2024-04-07 12:29:27 2024-04-07 12:29:27 Coupling and convergence for Hamiltonian Monte Carlo Andreas Eberle (Bonn University), will give a lecture, organized by the CMLA, about "Coupling and convergence for Hamiltonian Monte Carlo", the 24th october. Cournot Building, Room C103 ENS-PARIS-SACLAY webmaster@ens-paris-saclay.fr Europe/Paris public
Partially motivated by previous work on Langevin diffusions, we introduce a new coupling for the transition step of Hamiltonian Monte Carlo.
 

This coupling is shown to be contractive with an explicit rate in a carefully designed L1 Wasserstein distance. As a consequence, we derive quantitative bounds for convergence to equilibrium without assuming global convexity.

The results show rigorously that HMC can improve on Random Walk based MCMC methods by overcoming diffusive behaviour.