Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Empirical Bayes× | Markov Chain Monte Carlo (MCMC)× | Ridge regrese× | |
|---|---|---|---|
| Obor≠ | Bayesovská statistika | Bayesovská statistika | Strojové učení |
| Rodina≠ | Bayesian methods | Bayesian methods | Machine learning |
| Rok vzniku≠ | — | — | 1970 |
| Tvůrce≠ | Herbert Robbins (1956); Bradley Efron & Carl Morris (1973) | — | Hoerl, A.E. & Kennard, R.W. |
| Typ≠ | Empirical Bayes estimator | Posterior sampling algorithm | L2-regularized linear regression |
| Původní zdroj≠ | Robbins, H. (1956). An empirical Bayes approach to statistics. In J. Neyman (Ed.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1 (pp. 157–164). University of California Press. 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 | Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗ |
| Další názvy≠ | EB, empirical Bayes estimation, marginal likelihood estimation, James-Stein shrinkage | markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo) | Ridge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization |
| Příbuzné≠ | 4 | 3 | 4 |
| Shrnutí≠ | Empirical Bayes (EB) is an estimation strategy, introduced by Herbert Robbins in 1956 and developed into practical shrinkage estimators by Bradley Efron and Carl Morris in 1973, in which the hyperparameters of the prior distribution are estimated from the observed data via the marginal likelihood rather than specified in advance. The resulting posterior retains a Bayesian structure but substitutes data-driven hyperparameters for subjective ones, bridging frequentist shrinkage and full Bayesian inference. | 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. | Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated. |
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