Krahasoni metodat
Shqyrtoni metodat e zgjedhura krah për krah; rreshtat që ndryshojnë janë të theksuar.
| Hamiltonian Monte Carlo (HMC) Robust× | Kampimi i Gibbs× | |
|---|---|---|
| Fusha | Statistika bajesiane | Statistika bajesiane |
| Familja | Bayesian methods | Bayesian methods |
| Viti i origjinës≠ | 2010s–2020s | 1984 |
| Krijuesi≠ | Livingstone, Zanella and related researchers building on Duane et al. (1987) | Stuart Geman & Donald Geman |
| Lloji≠ | Robust MCMC sampler | MCMC sampling algorithm |
| Burimi themelues≠ | 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 ↗ |
| Emërtime të tjera | Robust HMC, heavy-tailed HMC, geometric-ergodic HMC, outlier-robust HMC | Gibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs sampling |
| Të lidhura≠ | 4 | 5 |
| Përmbledhja≠ | 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. |
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