方法对比

	贝叶斯Box-Behnken设计	贝叶斯优化
领域	实验设计	优化
方法族	Process / pipeline	Process / pipeline
起源年份	1960 (BBD); Bayesian integration ~1990s–2000s	1975 (foundational); 2012 (ML standard)
提出者	Box & Behnken (classical BBD, 1960); Bayesian extension developed by multiple authors in response surface literature	Mockus (1975); popularised for ML by Snoek, Larochelle & Adams (2012)
类型	Bayesian response surface experimental design	Sequential model-based black-box optimization
开创性文献	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.	Snoek, J., Larochelle, H., & Adams, R.P. (2012). Practical Bayesian Optimization of Machine Learning Algorithms. Advances in Neural Information Processing Systems (NeurIPS), 25.
别名	Bayesian BBD, Bayesian RSM Box-Behnken, Bayesian three-level design, BBD with Bayesian optimization	Bayesçi Optimizasyon (Hyperparameter Tuning), surrogate-based optimization, sequential model-based optimization, SMBO
相关	5	2
摘要	Bayesian Box-Behnken Design combines the classical Box-Behnken three-level design structure with Bayesian statistical inference to fit and optimize response surface models. It uses mid-edge and center points to efficiently estimate a second-order polynomial response surface while incorporating prior knowledge about model parameters and propagating uncertainty through to predictions and optimal factor settings. The approach is widely applied in engineering process optimization and formulation studies.	Bayesian Optimization is a sequential, model-based strategy for finding the optimum of expensive black-box functions with as few evaluations as possible. Rooted in the work of Mockus (1975) and brought to mainstream machine-learning practice by Snoek, Larochelle, and Adams (2012), it fits a probabilistic surrogate model — typically a Gaussian Process — to past observations and uses an acquisition function to decide where to probe next, balancing exploration of unknown regions with exploitation of promising ones.