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.
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Novel splitting scheme for kinetic Langevin sampling with exact harmonic integrator yields L2-Wasserstein convergence rates matching continuous dynamics and non-asymptotic error bounds for strongly log-concave 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.
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Convergence and non-asymptotic error analysis for kinetic Langevin samplers using the exact harmonic Langevin integrator
Novel splitting scheme for kinetic Langevin sampling with exact harmonic integrator yields L2-Wasserstein convergence rates matching continuous dynamics and non-asymptotic error bounds for strongly log-concave targets.