Self-Correcting Bayesian Optimization through Bayesian Active Learning
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Abstract (arXiv)
Gaussian processes are the model of choice in Bayesian optimization and active learning. Yet, they are highly dependent on cleverly chosen hyperparameters to reach their full potential, and little effort is devoted to finding good hyperparameters in the literature. We demonstrate the impact of selecting good hyperparameters for GPs and present two acquisition functions that explicitly prioritize hyperparameter learning. Statistical distance-based Active Learning (SAL) considers the average disagreement between samples from the posterior, as measured by a statistical distance. SAL outperforms the state-of-the-art in Bayesian active learning on several test functions. We then introduce Self-Correcting Bayesian Optimization (SCoreBO), which extends SAL to perform Bayesian optimization and active learning simultaneously. SCoreBO learns the model hyperparameters at improved rates compared to vanilla BO, while outperforming the latest Bayesian optimization methods on traditional benchmarks. Moreover, we demonstrate the importance of self-correction on atypical Bayesian optimization tasks.
Key facts. Cited by 22 papers in the map (data through 7 Oct 2026). Builds on 47 of its 79 references that are in the map. First posted on arXiv 21 Apr 2023.
Builds on
47 of 79 references.
References · 47
- 2018A Tutorial on Bayesian Optimizationcited by 734
- 2018GPyTorch: Blackbox Matrix-Matrix Gaussian Process Inference with GPU Accelerationcited by 603
- 2019BatchBALD: Efficient and Diverse Batch Acquisition for Deep Bayesian Active Learningcited by 428
- 2018Pyro: Deep Universal Probabilistic Programmingcited by 379
- 2019Scalable Global Optimization via Local Bayesian Optimizationcited by 359
- 2017Max-value Entropy Search for Efficient Bayesian Optimizationcited by 202
- 2014Predictive Entropy Search for Efficient Global Optimization of Black-box Functionscited by 201
- 2018Neural Architecture Search with Bayesian Optimisation and Optimal Transportcited by 192
- 2021Bayesian Optimization is Superior to Random Search for Machine Learning Hyperparameter Tuning: Analysis of the Black-Box Optimization Challenge 2020cited by 146
- 2021High-Dimensional Bayesian Optimization with Sparse Axis-Aligned Subspacescited by 139
- 2015High Dimensional Bayesian Optimisation and Bandits via Additive Modelscited by 137
- 2016Bayesian Optimization with Safety Constraints: Safe and Automatic Parameter Tuning in Roboticscited by 134
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- 2014Input Warping for Bayesian Optimization of Non-stationary Functionscited by 66
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- 2022Joint Entropy Search for Maximally-Informed Bayesian Optimizationcited by 55
- 2017Improving the Expected Improvement Algorithmcited by 54
- 2021Misspecified Gaussian Process Bandit Optimizationcited by 52
- 2021Think Global and Act Local: Bayesian Optimisation over High-Dimensional Categorical and Mixed Search Spacescited by 51
- 2019No-Regret Bayesian Optimization with Unknown Hyperparameterscited by 50
- 2022Constrained Efficient Global Optimization of Expensive Black-box Functionscited by 49
- 2021GIBBON: General-purpose Information-Based Bayesian OptimisatioNcited by 47
- 2022Joint Entropy Search for Multi-objective Bayesian Optimizationcited by 45
- 2021LassoBench: A High-Dimensional Hyperparameter Optimization Benchmark Suite for Lassocited by 41
- 2018Practical Design Space Explorationcited by 35
- 2019Approximate Inference for Fully Bayesian Gaussian Process Regressioncited by 31
- 2020Convergence Guarantees for Gaussian Process Means With Misspecified Likelihoods and Smoothnesscited by 29
- 2020Stacking for Non-mixing Bayesian Computations: The Curse and Blessing of Multimodal Posteriorscited by 29
- 2022Local Bayesian optimization via maximizing probability of descentcited by 29
- 2017Replication or exploration? Sequential design for stochastic simulation experimentscited by 28
- 2022Bayesian Optimization with Conformal Prediction Setscited by 27
- 2022Bayesian Active Learning with Fully Bayesian Gaussian Processescited by 26
- 2017Constrained Bayesian Optimization for Automatic Chemical Designcited by 20
- 2017Fast Information-theoretic Bayesian Optimisationcited by 19
- 2023Randomized Gaussian Process Upper Confidence Bound with Tighter Bayesian Regret Boundscited by 16
- 2022Skill-based Multi-objective Reinforcement Learning of Industrial Robot Tasks with Planning and Knowledge Integrationcited by 10
- 2015The Configurable SAT Solver Challenge (CSSC)cited by 9
- 2022Learning Skill-based Industrial Robot Tasks with User Priorscited by 9
- 2018Distance-distributed design for Gaussian process surrogatescited by 7
- 2020What do you Mean? The Role of the Mean Function in Bayesian Optimisationcited by 7
- 2022Rectified Max-Value Entropy Search for Bayesian Optimizationcited by 6
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- 2026Pragmatic Curiosity: A Unified Framework for Hybrid Learning and Optimization via Active Inference5 Feb 2026
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- 2025Adaptive Prior Selection in Gaussian Process Bandits with Thompson Sampling3 Feb 2025
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