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| Lấy mẫu Gibbs× | Hồi quy Bayes× | |
|---|---|---|
| Lĩnh vực | Bayes | Bayes |
| Họ | Bayesian methods | Bayesian methods |
| Năm ra đời≠ | 1984 | — |
| Người khởi xướng≠ | Stuart Geman & Donald Geman | — |
| Loại≠ | MCMC sampling algorithm | Bayesian linear model |
| Công trình gốc≠ | 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 ↗ | 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 |
| Tên gọi khác≠ | Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling | bayesian linear regression, probabilistic regression, bayesian regresyon |
| Liên quan≠ | 5 | 2 |
| Tóm tắt≠ | 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. | 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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