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Robust Hamiltonian Monte Carlo×হ্যামিলটোনিয়ান মন্টি কার্লো×
ক্ষেত্রবেইসীয়বেইসীয়
পরিবারBayesian methodsBayesian methods
উদ্ভবের বছর2010s–2020s1987
প্রবর্তকLivingstone, Zanella and related researchers building on Duane et al. (1987)
ধরনRobust MCMC samplerGradient-based Markov chain Monte Carlo sampler
মৌলিক উৎসLivingstone, S. & Zanella, G. (2022). The Barker proposal: combining robustness and efficiency in gradient-based MCMC. Journal of the Royal Statistical Society: Series B, 84(2), 496–523. DOI ↗Duane, S., Kennedy, A. D., Pendleton, B. J., & Roweth, D. (1987). Hybrid Monte Carlo. Physics Letters B, 195(2), 216–222. DOI ↗
অপর নামRobust HMC, heavy-tailed HMC, geometric-ergodic HMC, outlier-robust HMCHMC, Hybrid Monte Carlo, NUTS, No-U-Turn Sampler
সম্পর্কিত43
সারসংক্ষেপRobust Hamiltonian Monte Carlo (Robust HMC) is a family of extensions to standard HMC designed to maintain geometric ergodicity and sampling efficiency when the posterior has heavy tails, strong curvature variation, or near-degenerate geometry. By modifying the kinetic energy, mass matrix, or proposal mechanism, these methods ensure reliable exploration of difficult posteriors that defeat the standard NUTS/HMC sampler.Hamiltonian Monte Carlo (HMC) is a gradient-based Markov chain Monte Carlo algorithm that uses the geometry of the log-posterior surface to make large, informed jumps through parameter space instead of the small random steps of classical MCMC. Originally introduced for lattice field theory by Duane, Kennedy, Pendleton, and Roweth (1987) under the name Hybrid Monte Carlo, and brought into mainstream statistics by Radford Neal's authoritative 2011 chapter, HMC is today the default sampler in Stan and PyMC and is widely regarded as the state-of-the-art engine for Bayesian posterior inference in high-dimensional models.
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ScholarGateপদ্ধতির তুলনা করুন: Robust Hamiltonian Monte Carlo · Hamiltonian Monte Carlo. 2026-06-20 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare