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| Tập hợp xếp chồng Bayes× | Bayesian Model Averaging× | Quá trình Gauss× | |
|---|---|---|---|
| Lĩnh vực≠ | Học máy | Bayes | Học máy |
| Họ≠ | Machine learning | Bayesian methods | Machine learning |
| Năm ra đời≠ | 2018 | 1999 | 2006 (book); roots in Kriging, 1951) |
| Người khởi xướng≠ | Yao, Y.; Vehtari, A.; Simpson, D.; Gelman, A. | Hoeting, Madigan, Raftery & Volinsky | Rasmussen, C. E. & Williams, C. K. I. |
| Loại≠ | Bayesian ensemble combination | Bayesian model averaging | Probabilistic non-parametric model |
| Công trình gốc≠ | Yao, Y., Vehtari, A., Simpson, D., & Gelman, A. (2018). Using stacking to average Bayesian predictive distributions. Bayesian Analysis, 13(3), 917–1007. DOI ↗ | Hoeting, J. A., Madigan, D., Raftery, A. E. & Volinsky, C. T. (1999). Bayesian Model Averaging: A Tutorial. Statistical Science, 14(4), 382–401. link ↗ | Rasmussen, C. E., & Williams, C. K. I. (2006). Gaussian Processes for Machine Learning. MIT Press. ISBN: 978-0-262-18253-9 |
| Tên gọi khác≠ | Bayesian stacking, Bayesian model stacking, stacking with Bayesian weights, predictive distribution stacking | BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA) | GP, Gaussian Process Regression, GPR, Kriging |
| Liên quan≠ | 6 | 5 | 3 |
| Tóm tắt≠ | Bayesian stacking combines the predictive distributions of several base models by finding non-negative weights that maximise the leave-one-out log predictive score of the mixture. Formalised by Yao, Vehtari, Simpson, and Gelman (2018), it yields a single calibrated predictive distribution that is provably at least as good as any single constituent model under cross-validation. | Bayesian Model Averaging (BMA), formalised as a tutorial by Hoeting, Madigan, Raftery and Volinsky in 1999, addresses model uncertainty by averaging over all plausible model specifications rather than selecting a single best model. Each candidate model receives a posterior probability that reflects how well it fits the data given a prior, and predictions or coefficient estimates are formed as weighted averages across the entire model space. This approach reduces the bias and overconfidence that arise when a single selected model is treated as the true one. | A Gaussian Process (GP) is a non-parametric, fully probabilistic machine learning model that places a prior distribution directly over functions. Rather than predicting a single value, it returns a predictive mean and a calibrated uncertainty estimate at every test point, making it especially valuable for regression on small to medium datasets and for Bayesian optimization tasks. |
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