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| Chuỗi Markov Monte Carlo Mạnh mẽ× | Lấy mẫu Gibbs× | |
|---|---|---|
| Lĩnh vực | Bayes | Bayes |
| Họ | Bayesian methods | Bayesian methods |
| Năm ra đời≠ | 2000s–2010s | 1984 |
| Người khởi xướng≠ | Roberts, Rosenthal and colleagues; extended by Atchade, Barp, Girolami and others | Stuart Geman & Donald Geman |
| Loại≠ | Bayesian computational sampling | MCMC sampling algorithm |
| Công trình gốc≠ | Roberts, G. O. & Rosenthal, J. S. (2004). General state space Markov chains and MCMC algorithms. Probability Surveys, 1, 20–71. DOI ↗ | Geman, 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 ↗ |
| Tên gọi khác | robust MCMC, outlier-robust MCMC, robust posterior sampling, misspecification-robust MCMC | Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling |
| Liên quan | 5 | 5 |
| Tóm tắt≠ | Robust MCMC combines Markov chain Monte Carlo sampling with robustness techniques to produce reliable posterior inference when data contain outliers, when the assumed model is misspecified, or when the target distribution has heavy tails that cause standard samplers to mix poorly or yield distorted estimates. | Gibbs 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. |
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