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نمونه‌گیری گیبس×زنجیره مارکوف مونت کارلو (MCMC)×
حوزهبیزیبیزی
خانوادهBayesian methodsBayesian methods
سال پیدایش1984
پدیدآورStuart Geman & Donald Geman
نوعMCMC sampling algorithmPosterior sampling algorithm
منبع بنیادینGeman, S. & Geman, D. (1984). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6(6), 721-741. 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
نام‌های دیگرGibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs samplingmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
مرتبط53
خلاصهGibbs sampling is a Markov chain Monte Carlo algorithm that approximates a high-dimensional posterior distribution by repeatedly drawing each parameter from its full conditional distribution given all other parameters and the data. Because each draw is exact from a conditional — not a proposal that may be rejected — the sampler is efficient when those conditionals are available in closed form.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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ScholarGateمقایسهٔ روش‌ها: Gibbs Sampling · MCMC. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare