مقایسهٔ روشها
روشهای انتخابی خود را کنار هم مرور کنید؛ ردیفهای متفاوت برجسته شدهاند.
| هملتونی مونت کارلو قوی× | نمونهگیری گیبس× | |
|---|---|---|
| حوزه | بیزی | بیزی |
| خانواده | Bayesian methods | Bayesian methods |
| سال پیدایش≠ | 2010s–2020s | 1984 |
| پدیدآور≠ | Livingstone, Zanella and related researchers building on Duane et al. (1987) | Stuart Geman & Donald Geman |
| نوع≠ | Robust MCMC sampler | MCMC sampling algorithm |
| منبع بنیادین≠ | Livingstone, S. & Zanella, G. (2022). The Barker proposal: combining robustness and efficiency in gradient-based MCMC. Journal of the Royal Statistical Society: Series B, 84(2), 496–523. 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 ↗ |
| نامهای دیگر | Robust HMC, heavy-tailed HMC, geometric-ergodic HMC, outlier-robust HMC | Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling |
| مرتبط≠ | 4 | 5 |
| خلاصه≠ | Robust Hamiltonian Monte Carlo (Robust HMC) is a family of extensions to standard HMC designed to maintain geometric ergodicity and sampling efficiency when the posterior has heavy tails, strong curvature variation, or near-degenerate geometry. By modifying the kinetic energy, mass matrix, or proposal mechanism, these methods ensure reliable exploration of difficult posteriors that defeat the standard NUTS/HMC sampler. | 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. |
| ScholarGateمجموعهداده ↗ |
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