Porovnať metódy
Prezrite si vybrané metódy vedľa seba; riadky, ktoré sa líšia, sú zvýraznené.
| Hamiltonovský Markovov reťazec Monte Carlo s chýbajúcimi údajmi× | Bayesovská inferencia s chýbajúcimi údajmi× | |
|---|---|---|
| Odbor | Bayesovské metódy | Bayesovské metódy |
| Rodina | Bayesian methods | Bayesian methods |
| Rok vzniku≠ | 1996–2011 | 1976–1987 |
| Tvorca≠ | Radford M. Neal (HMC, 1996/2011); missing-data treatment via Bayesian data augmentation (Tanner & Wong, 1987) | Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation) |
| Typ≠ | Bayesian computational sampler | Bayesian probabilistic model |
| Pôvodný zdroj≠ | Neal, R. M. (2011). MCMC using Hamiltonian dynamics. In S. Brooks, A. Gelman, G. Jones & X.-L. Meng (Eds.), Handbook of Markov Chain Monte Carlo (pp. 113-162). CRC Press. ISBN: 978-1420079418 | Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860 |
| Ďalšie názvy | HMC with missing data, HMC data augmentation, Bayesian HMC imputation, HMC with data augmentation | Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model |
| Príbuzné | 6 | 6 |
| Zhrnutie≠ | Hamiltonian Monte Carlo with missing data extends the gradient-based HMC sampler to handle incomplete observations by treating missing values as additional unknown parameters. The posterior over model parameters and missing values is sampled jointly in one efficient pass, exploiting gradient information to explore the high-dimensional joint space with far fewer rejected proposals than random-walk MCMC. | Bayesian inference with missing data treats unobserved values as unknown parameters and integrates them out of the posterior distribution. Rather than deleting or ad hoc imputing incomplete records, the method jointly models observed and missing data under an explicit missing-data mechanism, producing fully calibrated posterior uncertainty that honestly reflects what the data cannot tell us. |
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