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خوارزمية متروبوليس-هاستينغز×الانحدار البايزي×
المجالبايزيبايزي
العائلةBayesian methodsBayesian methods
سنة النشأة1953
صاحب الطريقةMetropolis et al. (1953); generalised by Hastings (1970)
النوعMarkov chain Monte Carlo samplerBayesian linear model
المصدر التأسيسيMetropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953). Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6), 1087–1092. DOI ↗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
الأسماء البديلةMH algorithm, M-H algorithm, Metropolis algorithm, Metropolis-Hastings samplerbayesian linear regression, probabilistic regression, bayesian regresyon
ذات صلة52
الملخصThe Metropolis-Hastings (MH) algorithm is a general-purpose Markov chain Monte Carlo (MCMC) method for drawing samples from any probability distribution whose density can be evaluated up to a normalising constant. Introduced by Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller (1953) in computational physics and generalised by Hastings (1970) to asymmetric proposal distributions, it is the foundational algorithm from which nearly all subsequent MCMC samplers — Gibbs sampling, Hamiltonian Monte Carlo, slice sampling — are derived or can be viewed as special cases.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.
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ScholarGateقارن الطرق: Metropolis-Hastings Algorithm · Bayesian Regression. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare