Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling

[EN] We construct integrators to be used in Hamiltonian (or Hybrid) Monte Carlo sampling. The new integrators are easily implementable and, for a given computational budget, may deliver five times as many accepted proposals as standard leapfrog/Verlet without impairing in any way the quality of the...

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Detalles Bibliográficos
Autores: Blanes Zamora, Sergio|||0000-0001-5819-8898, Calvo, M.P., Casas, F., Sanz-Serna, J. M.
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/182159
Acceso en línea:https://riunet.upv.es/handle/10251/182159
Access Level:acceso abierto
Palabra clave:Hamiltonian Monte Carlo method
Splitting integrators
Processing
MATEMATICA APLICADA
Descripción
Sumario:[EN] We construct integrators to be used in Hamiltonian (or Hybrid) Monte Carlo sampling. The new integrators are easily implementable and, for a given computational budget, may deliver five times as many accepted proposals as standard leapfrog/Verlet without impairing in any way the quality of the samples. They are based on a suitable modification of the processing technique first introduced by Butcher. The idea of modified processing may also be useful for other purposes, like the construction of high-order splitting integrators with positive coefficients.