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Monte Carlo Hamiltoniano Jerárquico×Cadenas de Markov Monte Carlo (MCMC)×
CampoBayesianoBayesiano
FamiliaBayesian methodsBayesian methods
Año de origen2015
Autor originalBetancourt & Girolami
TipoBayesian sampling algorithmPosterior sampling algorithm
Fuente seminalBetancourt, M. & Girolami, M. (2015). Hamiltonian Monte Carlo for hierarchical models. In S. K. Upadhyay, U. Singh, D. K. Dey & A. Loganathan (Eds.), Current Trends in Bayesian Methodology with Applications (pp. 79-101). CRC Press. link ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
AliasHierarchical HMC, HMC for hierarchical models, HMC with reparameterization, NUTS for hierarchical Bayesian modelsmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Relacionados53
ResumenHierarchical Hamiltonian Monte Carlo (Hierarchical HMC) applies Hamiltonian Monte Carlo sampling to Bayesian hierarchical models, addressing the severe geometric challenges those models pose. By combining non-centered parameterizations with HMC's gradient-driven proposals, it achieves efficient posterior exploration of the multi-level funnel-shaped geometries that standard MCMC methods struggle with.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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  1. v1
  2. 2 Fuentes
  3. PUBLISHED

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ScholarGateComparar métodos: Hierarchical Hamiltonian Monte Carlo · MCMC. Recuperado el 2026-06-19 de https://scholargate.app/es/compare