Võrdle meetodeid
Vaata valitud meetodeid kõrvuti; erinevad read on esile tõstetud.
| Viilude võtmise meetod× | Bayes' regressioon× | Gibbs Sampling× | |
|---|---|---|---|
| Valdkond | Bayesi meetodid | Bayesi meetodid | Bayesi meetodid |
| Perekond | Bayesian methods | Bayesian methods | Bayesian methods |
| Tekkeaasta≠ | 2003 | — | 1984 |
| Looja≠ | Radford M. Neal | — | Stuart Geman & Donald Geman |
| Tüüp≠ | MCMC sampling algorithm | Bayesian linear model | MCMC sampling algorithm |
| Algallikas≠ | Neal, R. M. (2003). Slice sampling (with discussion). Annals of Statistics, 31(3), 705–767. 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 | 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 ↗ |
| Rööpnimetused≠ | slice sampler, Neal slice sampler, uniform slice sampling, auxiliary variable slice sampler | bayesian linear regression, probabilistic regression, bayesian regresyon | Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling |
| Seotud≠ | 4 | 2 | 5 |
| Kokkuvõte≠ | Slice sampling is a Markov chain Monte Carlo (MCMC) algorithm introduced by Radford M. Neal in his 2003 Annals of Statistics paper. It generates samples from a target distribution by drawing uniformly from the region under the density curve — called the 'slice' — without requiring the user to specify a step-size or proposal distribution, making it self-tuning and broadly applicable for Bayesian posterior inference. | 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. | 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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