Geometric Integration of Measure-Preserving Flows for Sampling

DOI10.1007/978-3-030-77957-3_18OpenAlexW3176099628MaRDI QIDQ5021910

Alessandro Barp

Publication date: 14 January 2022

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-77957-3_18

Mathematics Subject Classification ID

Computer science (68-XX) Statistical mechanics, structure of matter (82-XX) Differential geometry (53-XX)

Cites Work

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• Information-geometric Markov chain Monte Carlo methods using diffusions
• Markov chain Monte Carlo and irreversibility
• Géométrie des algèbres de Lie locales de Kirillov
• Exponential convergence of Langevin distributions and their discrete approximations
• The Schouten-Nijenhuis bracket and interior products
• The modular automorphism group of a Poisson manifold
• Palindromic 3-stage splitting integrators, a roadmap
• Shadow hybrid Monte Carlo: an efficient propagator in phase space of macromolecules
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Support points
• Reversible and non-reversible Markov chain Monte Carlo algorithms for reservoir simulation problems
• Modified Hamiltonian Monte Carlo for Bayesian inference
• Irreversible Langevin MCMC on Lie groups
• Hamiltonian Monte Carlo on Lie groups and constrained mechanics on homogeneous manifolds
• Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods
• Hybrid Monte Carlo methods for sampling probability measures on submanifolds
• The geometric foundations of Hamiltonian Monte Carlo
• An adaptive version for the Metropolis adjusted Langevin algorithm with a truncated drift
• Langevin diffusions and the Metropolis-adjusted Langevin algorithm
• Poisson structures and their normal forms
• The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics
• Langevin dynamics with constraints and computation of free energy differences
• Simulating Hamiltonian Dynamics
• Splitting methods
• Discrete mechanics and variational integrators
• Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods
• Efficient Bayesian Computation by Proximal Markov Chain Monte Carlo: When Langevin Meets Moreau
• Geodesic Lagrangian Monte Carlo over the space of positive definite matrices: with application to Bayesian spectral density estimation
• Geometric integrators and the Hamiltonian Monte Carlo method
• Metropolis Integration Schemes for Self-Adjoint Diffusions
• Efficient molecular dynamics using geodesic integration and solvent–solute splitting
• A General Metric for Riemannian Manifold Hamiltonian Monte Carlo
• Theoretical and numerical comparison of some sampling methods for molecular dynamics
• Geometric Numerical Integration
• Cost of the generalised hybrid Monte Carlo algorithm for free field theory
• A function space HMC algorithm with second order Langevin diffusion limit

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