An entropic approach for Hamiltonian Monte Carlo: the idealized case
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Publication:6590457
DOI10.1214/23-aap2021zbMATH Open1545.65013MaRDI QIDQ6590457
Publication date: 21 August 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Cites Work
- Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential
- Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality
- Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
- Reflection coupling and Wasserstein contractivity without convexity
- Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes
- Modified logarithmic Sobolev inequalities in discrete settings
- Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
- Asymptotics of the spectral gap with applications to the theory of simulated annealing
- Phi-entropy inequalities for diffusion semigroups
- Duality on gradient estimates and Wasserstein controls
- A simple proof of the Poincaré inequality for a large class of probability measures
- Simulated annealing via Sobolev inequalities
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Hypocoercivity in metastable settings and kinetic simulated annealing
- Randomized Hamiltonian Monte Carlo
- Generalized \(\Gamma\) calculus and application to interacting particles on a graph
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- Analysis of a nonreversible Markov chain sampler.
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems.
- An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture
- Is there an analog of Nesterov acceleration for gradient-based MCMC?
- Randomized Hamiltonian Monte Carlo as scaling limit of the bouncy particle sampler and dimension-free convergence rates
- Bourgain's slicing problem and KLS isoperimetry up to polylog
- Mixing time guarantees for unadjusted Hamiltonian Monte Carlo
- On explicit \(L^2\)-convergence rate estimate for piecewise deterministic Markov processes in MCMC algorithms
- Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems
- On sampling from a log-concave density using kinetic Langevin diffusions
- A note on Fisher information hypocoercive decay for the linear Boltzmann equation
- High-dimensional MCMC with a standard splitting scheme for the underdamped Langevin diffusion
- Mixing of Hamiltonian Monte Carlo on strongly log-concave distributions: continuous dynamics
- Hypocoercivity of piecewise deterministic Markov process-Monte Carlo
- High-dimensional Bayesian inference via the unadjusted Langevin algorithm
- Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities
- Couplings and quantitative contraction rates for Langevin dynamics
- Long-time behaviour and propagation of chaos for mean field kinetic particles
- Diffusion and mixing in fluid flow
- Bakry-Émery meet Villani
- Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
- Logarithmic Sobolev inequalities for finite Markov chains
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- Coupling and convergence for Hamiltonian Monte Carlo
- Convergence of the kinetic annealing for general potentials
- Étude spectrale minutieuse de processus moins indécis que les autres
- Yet Another Look at Harris’ Ergodic Theorem for Markov Chains
- LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES
- Hypocoercivity
- Equilibration Rate for the Linear Inhomogeneous Relaxation-Time Boltzmann Equation for Charged Particles
- Analysis and Geometry of Markov Diffusion Operators
- Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation
- Sampling can be faster than optimization
- The Kannan–Lovász–Simonovits conjecture
- Hypocoercivity for linear kinetic equations conserving mass
- The Andersen thermostat in molecular dynamics
- Hypocoercivity in Phi-Entropy for the Linear Relaxation Boltzmann Equation on the Torus
- A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
- Spectral gap for spherically symmetric \(\log\)-concave probability measures, and beyond
- Exact targeting of Gibbs distributions using velocity-jump processes
- On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics
- Almost sure contraction for diffusions on \(\mathbb{R}^d\). Application to generalized Langevin diffusions
- Convergence of unadjusted Hamiltonian Monte Carlo for mean-field models
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Related Items (2)
Convergence of simulated annealing using kinetic Langevin dynamics ⋮ \(L^2\)-Wasserstein contraction for Euler schemes of elliptic diffusions and interacting particle systems
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