RHMC achieves entropic diffusive-to-ballistic speedup while BPS and ZZS exhibit no exponential convergence in relative entropy even for standard Gaussian targets.
Tail-Sensitive KL and Rényi Convergence of Unad- justed Hamiltonian Monte Carlo via One-Shot Couplings.arXiv e-prints, page arXiv:2601.09019, January 2026
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No Markovian coupling captures the TV decay rate for kinetic Langevin with quadratic potential; a non-Markovian optimal-control coupling interprets and strengthens existing sharp bounds while removing assumptions for OBABO.
citing papers explorer
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On the entropic convergence for piecewise deterministic samplers: speedup and obstruction
RHMC achieves entropic diffusive-to-ballistic speedup while BPS and ZZS exhibit no exponential convergence in relative entropy even for standard Gaussian targets.
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On couplings for kinetic Langevin diffusions
No Markovian coupling captures the TV decay rate for kinetic Langevin with quadratic potential; a non-Markovian optimal-control coupling interprets and strengthens existing sharp bounds while removing assumptions for OBABO.