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| Hamiltonian Monte Carlo Động (Dynamic Hamiltonian Monte Carlo)× | Monte Carlo Tuần tự× | |
|---|---|---|
| Lĩnh vực | Bayes | Bayes |
| Họ | Bayesian methods | Bayesian methods |
| Năm ra đời≠ | 2014 | 1993 (particle filter); 2006 (SMC samplers) |
| Người khởi xướng≠ | Matthew D. Hoffman and Andrew Gelman | Gordon, Salmond & Smith (particle filter); Del Moral, Doucet & Jasra (SMC samplers) |
| Loại≠ | adaptive MCMC sampler | Sequential Bayesian computation |
| Công trình gốc≠ | Hoffman, M. D. & Gelman, A. (2014). The No-U-Turn Sampler: Adaptively setting path lengths in Hamiltonian Monte Carlo. Journal of Machine Learning Research, 15(1), 1593–1623. link ↗ | Gordon, N. J., Salmond, D. J., & Smith, A. F. M. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F - Radar and Signal Processing, 140(2), 107–113. DOI ↗ |
| Tên gọi khác | Dynamic HMC, NUTS, No-U-Turn Sampler, adaptive HMC | SMC, particle filter, sequential importance resampling, SMC sampler |
| Liên quan≠ | 5 | 6 |
| Tóm tắt≠ | Dynamic Hamiltonian Monte Carlo — widely known as the No-U-Turn Sampler (NUTS) — is an adaptive extension of Hamiltonian Monte Carlo that automatically selects the number of leapfrog integration steps during each MCMC transition, removing the need to hand-tune the most sensitive tuning parameter of standard HMC. It is the default sampler in Stan and PyMC and is suitable for continuous, differentiable posterior distributions of moderate to high dimension. | Sequential Monte Carlo (SMC) is a family of simulation-based algorithms that approximate evolving probability distributions by propagating and reweighting a cloud of weighted random draws called particles. It handles nonlinear, non-Gaussian models and streams of data naturally, making it the method of choice for real-time state estimation and posterior approximation over complex distributions. |
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