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| Bayesian Mixed-Integer Programming× | Bayesovská optimalizace× | |
|---|---|---|
| Obor≠ | Simulace | Optimalizace |
| Rodina | Process / pipeline | Process / pipeline |
| Rok vzniku≠ | 2018 (surrogate-BO-MIP synthesis); MIP foundations 1958 | 1975 (foundational); 2012 (ML standard) |
| Tvůrce≠ | Baptista, R. & Poloczek, M. (formal Bayesian-BO-MIP formulation); mixed-integer programming roots in Gomory (1958) | Mockus (1975); popularised for ML by Snoek, Larochelle & Adams (2012) |
| Typ≠ | Surrogate-assisted combinatorial optimization | Sequential model-based black-box optimization |
| Původní zdroj≠ | Baptista, R., Poloczek, M. (2018). Bayesian Optimization of Combinatorial Structures. Proceedings of the 35th International Conference on Machine Learning (ICML), PMLR 80:462–471. link ↗ | Snoek, J., Larochelle, H., & Adams, R.P. (2012). Practical Bayesian Optimization of Machine Learning Algorithms. Advances in Neural Information Processing Systems (NeurIPS), 25. link ↗ |
| Další názvy | Bayesian MIP, BO-MIP, Bayesian Combinatorial Optimization, Mixed-Integer Bayesian Optimization | Bayesçi Optimizasyon (Hyperparameter Tuning), surrogate-based optimization, sequential model-based optimization, SMBO |
| Příbuzné≠ | 5 | 2 |
| Shrnutí≠ | Bayesian Mixed-Integer Programming (BO-MIP) couples a probabilistic surrogate model — typically a Gaussian process — with a mixed-integer programming solver to efficiently optimize expensive black-box objectives defined over spaces that contain both continuous and discrete or integer-valued decision variables. It is especially valuable when each function evaluation is costly and exhaustive search is infeasible. | 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. |
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