Recent Advances in Bayesian Optimization
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Abstract (arXiv)
Bayesian optimization has emerged at the forefront of expensive black-box optimization due to its data efficiency. Recent years have witnessed a proliferation of studies on the development of new Bayesian optimization algorithms and their applications. Hence, this paper attempts to provide a comprehensive and updated survey of recent advances in Bayesian optimization and identify interesting open problems. We categorize the existing work on Bayesian optimization into nine main groups according to the motivations and focus of the proposed algorithms. For each category, we present the main advances with respect to the construction of surrogate models and adaptation of the acquisition functions. Finally, we discuss the open questions and suggest promising future research directions, in particular with regard to heterogeneity, privacy preservation, and fairness in distributed and federated optimization systems.
Key facts. Cited by 74 papers in the map (data through 7 Oct 2026). Builds on 128 of its 321 references that are in the map. First posted on arXiv 7 Jun 2022.
Builds on
128 of 321 references.
References · 128
- 2016Communication-Efficient Learning of Deep Networks from Decentralized Datacited by 7,592
- 2019A Comprehensive Survey on Transfer Learningcited by 1,154
- 2017A Survey on Multi-Task Learningcited by 838
- 2016Automatic chemical design using a data-driven continuous representation of moleculescited by 762
- 2018A Tutorial on Bayesian Optimizationcited by 734
- 2017A Tutorial on Thompson Samplingcited by 420
- 2019Scalable Global Optimization via Local Bayesian Optimizationcited by 359
- 2015Probabilistic Backpropagation for Scalable Learning of Bayesian Neural Networkscited by 295
- 2015Scalable Bayesian Optimization Using Deep Neural Networkscited by 284
- 2018When Gaussian Process Meets Big Data: A Review of Scalable GPscited by 205
- 2017Max-value Entropy Search for Efficient Bayesian Optimizationcited by 202
- 2014Predictive Entropy Search for Efficient Global Optimization of Black-box Functionscited by 201
38 more
- 2018Neural Architecture Search with Bayesian Optimisation and Optimal Transportcited by 192
- 2013Bayesian Optimization in a Billion Dimensions via Random Embeddingscited by 178
- 2021High-Dimensional Bayesian Optimization with Sparse Axis-Aligned Subspacescited by 139
- 2015High Dimensional Bayesian Optimisation and Bandits via Additive Modelscited by 137
- 2016Fast Bayesian Optimization of Machine Learning Hyperparameters on Large Datasetscited by 131
- 2017Multi-fidelity Bayesian Optimisation with Continuous Approximationscited by 120
- 2017Batched Large-scale Bayesian Optimization in High-dimensional Spacescited by 116
- 2015Batch Bayesian Optimization via Local Penalizationcited by 103
- 2017Constrained Bayesian Optimization with Noisy Experimentscited by 103
- 2019Practical Multi-fidelity Bayesian Optimization for Hyperparameter Tuningcited by 91
- 2020Re-Examining Linear Embeddings for High-Dimensional Bayesian Optimizationcited by 89
- 2015Predictive Entropy Search for Multi-objective Bayesian Optimizationcited by 88
- 2021Multi-Objective Bayesian Optimization over High-Dimensional Search Spacescited by 87
- 2020Mat'ern Gaussian processes on Riemannian manifoldscited by 82
- 2020Max-value Entropy Search for Multi-Objective Bayesian Optimization with Constraintscited by 81
- 2015Bayesian optimization for materials designcited by 78
- 2019Combinatorial Bayesian Optimization using the Graph Cartesian Productcited by 78
- 2020Federated Bayesian Optimization via Thompson Samplingcited by 77
- 2017Parallel and Distributed Thompson Sampling for Large-scale Accelerated Exploration of Chemical Spacecited by 76
- 2021A survey on high-dimensional Gaussian process modeling with application to Bayesian optimizationcited by 76
- 2016The Parallel Knowledge Gradient Method for Batch Bayesian Optimizationcited by 73
- 2019Meta-Learning Acquisition Functions for Transfer Learning in Bayesian Optimizationcited by 70
- 2014Input Warping for Bayesian Optimization of Non-stationary Functionscited by 66
- 2017Dealing with Integer-valued Variables in Bayesian Optimization with Gaussian Processescited by 65
- 2018Bayesian Optimization of Combinatorial Structurescited by 64
- 2019Bayesian Optimization for Materials Design with Mixed Quantitative and Qualitative Variablescited by 64
- 2018BOCK : Bayesian Optimization with Cylindrical Kernelscited by 62
- 2020Distributionally Robust Bayesian Optimizationcited by 60
- 2018High-Dimensional Bayesian Optimization via Additive Models with Overlapping Groupscited by 58
- 2019Multi-objective Bayesian Optimization using Pareto-frontier Entropycited by 57
- 2019Bayesian Optimisation over Multiple Continuous and Categorical Inputscited by 55
- 2021A Simple Approach for Non-stationary Linear Banditscited by 54
- 2018A General Framework for Multi-fidelity Bayesian Optimization with Gaussian Processescited by 52
- 2015Predictive Entropy Search for Bayesian Optimization with Unknown Constraintscited by 51
- 2017Batched High-dimensional Bayesian Optimization via Structural Kernel Learningcited by 51
- 2013Parallel Gaussian Process Optimization with Upper Confidence Bound and Pure Explorationcited by 50
- 2015A General Framework for Constrained Bayesian Optimization using Information-based Searchcited by 50
- 2016Time-Varying Gaussian Process Bandit Optimizationcited by 50
50 most cited of 128 All 128 (JSON)
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Citing papers per year: 2022: 2; 2023: 5; 2024: 15; 2025: 34; 2026: 18.
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- 2023Bounce: Reliable High-Dimensional Bayesian Optimization for Combinatorial and Mixed Spacescited by 27
- 2024A survey and benchmark of high-dimensional Bayesian optimization of discrete sequencescited by 22
- 2023Bayesian Optimization of Catalysis With In-Context Learningcited by 20
- 2024Bayesian optimization as a flexible and efficient design framework for sustainable process systemscited by 15
- 2025Adaptive Kernel Design for Bayesian Optimization Is a Piece of CAKE with LLMscited by 15
- 2024SCOOT: SLO-Oriented Performance Tuning for LLM Inference Enginescited by 9
- 2024Goal-Oriented Bayesian Optimal Experimental Design for Nonlinear Models using Markov Chain Monte Carlocited by 8
- 2024EARL-BO: Reinforcement Learning for Multi-Step Lookahead, High-Dimensional Bayesian Optimizationcited by 6
- 2023Risk-Controlling Model Selection via Guided Bayesian Optimizationcited by 5
- 2025HeaRT: A Hierarchical Circuit Reasoning Tree-Based Agentic Framework for AMS Design Optimizationcited by 5
- 2022Towards Fairness-Aware Multi-Objective Optimizationcited by 4
- 2022A Secure Federated Data-Driven Evolutionary Multi-objective Optimization Algorithmcited by 4
38 more
- 2024Model Uncertainty in Evolutionary Optimization and Bayesian Optimization: A Comparative Analysiscited by 4
- 2025On the convergence rate of noisy Bayesian Optimization with Expected Improvementcited by 4
- 2025Hyperparameter Optimization via Interacting with Probabilistic Circuitscited by 4
- 2026LABO: LLM-Accelerated Bayesian Optimization through Broad Exploration and Selective Experimentationcited by 4
- 2024Measurements with Noise: Bayesian Optimization for Co-optimizing Noise and Property Discovery in Automated Experimentscited by 3
- 2025Active Alignments of Lens Systems with Reinforcement Learningcited by 3
- 2025Deterministic Global Optimization of the Acquisition Function in Bayesian Optimization: To Do or Not To Do?cited by 3
- 2025LiBOG: Lifelong Learning for Black-Box Optimizer Generationcited by 3
- 2025ChemBOMAS: Accelerated BO in Chemistry with LLM-Enhanced Multi-Agent Systemcited by 3
- 2023Gradient and Uncertainty Enhanced Sequential Sampling for Global Fitcited by 2
- 2024Expected Coordinate Improvement for High-Dimensional Bayesian Optimizationcited by 2
- 2024Optimal Initialization of Batch Bayesian Optimizationcited by 2
- 2025BARK: A Fully Bayesian Tree Kernel for Black-box Optimizationcited by 2
- 2025Causal-PIK: Causality-based Physical Reasoning with a Physics-Informed Kernelcited by 2
- 2025Efficient Visual Appearance Optimization by Learning from Prior Preferencescited by 2
- 2025LISTEN to Your Preferences: An LLM Framework for Multi-Objective Selectioncited by 2
- 2024Data augmentation with automated machine learning: approaches and performance comparison with classical data augmentation methodscited by 1
- 2024A Tutorial on Gaussian Process Learning-based Model Predictive Controlcited by 1
- 2024Bayesian Optimization of Functions over Node Subsets in Graphscited by 1
- 2025Causal Discovery via Bayesian Optimizationcited by 1
- 2025Stress-Testing ML Pipelines with Adversarial Data Corruptioncited by 1
- 2025Black-Box Combinatorial Optimization with Order-Invariant Reinforcement Learningcited by 1
- 2025Synergizing chemical and AI communities for advancing laboratories of the futurecited by 1
- 2025SemanticOpt: Towards LLM-Based Semantic Black-Box Optimizationcited by 1
- 2025A Multidisciplinary Design and Optimization (MDO) Agent Driven by Large Language Modelscited by 1
- 2026Advancing Automated Algorithm Design via Evolutionary Stagewise Design with LLMscited by 1
- 2026Human-in-the-Loop Meta Bayesian Optimization for Fusion Energy and Scientific Applicationscited by 1
- 2026Unified Audio Intelligence Without Regressing on Text Intelligencecited by 1
- 2023Exact and general decoupled solutions of the LMC Multitask Gaussian Process modelcited by 0
- 2024Simulation Based Bayesian Optimizationcited by 0
- 2024On Constructing Algorithm Portfolios in Algorithm Selection for Computationally Expensive Black-box Optimization in the Fixed-budget Settingcited by 0
- 2024Scalable Batch Bayesian Optimization Via Subspace Acquisition Functionscited by 0
- 2025Sample-Efficient Bayesian Transfer Learning for Online Machine Parameter Optimizationcited by 0
- 2025Why risk matters for protein binder designcited by 0
- 2025Multi-Variable Batch Bayesian Optimization in Materials Research: Synthetic Data Analysis of Noise Sensitivity and Problem Landscape Effectscited by 0
- 2025A Balanced Approach of Rapid Genetic Exploration and Surrogate Exploitation for Hyperparameter Optimizationcited by 0
- 2025Gradient-based Sample Selection for Faster Bayesian Optimizationcited by 0
- 2025crowd-hpo: Realistic Hyperparameter Optimization and Benchmarking for Learning from Crowds with Noisy Labelscited by 0
50 most cited of 74 All 74 (JSON)
- 2026GUIDE-FBO: Guidance via Uncertainty Intervention and Distributional Exchange for Federated Bayesian Optimization28 Sep 2026
- 2026D-IMPL: A Diffusion-based Solver for Parameterized BBOs19 Sep 2026
- 2026Converge Then Diversify: Decoupling Convergence and Diversity in Multi-Objective Bayesian Optimisation11 Sep 2026
- 2026NeurGO: Learning to Generate Elite Candidates for Meta-Black-Box Expensive Optimization26 Jul 2026
- 2026Optimization of time-consuming experimental conditions using pseudo-experimental data guided by adaptive polynomial regression24 Jul 2026
- 2026An Auto-Scaling Approach for Serverless Environments Based on a Multi-Expert Consensus Mechanism16 Jul 2026
- 2026LLM-Driven Evolutionary Generation of Multi-Objective Bayesian Optimization Algorithms6 Jul 2026
- 2026Unified Audio Intelligence Without Regressing on Text Intelligence6 Jul 2026
- 2026Improving Bayesian Optimization via Training-Aware Conditional Diffusion Models7 Jun 2026
- 2026LABO: LLM-Accelerated Bayesian Optimization through Broad Exploration and Selective Experimentation21 May 2026
- 2026Differentiable Multiphysics Co-Optimization via Implicit Neural Representations: A Transient Hamburger-Cooking Benchmark1 May 2026
- 2026Human-in-the-Loop Meta Bayesian Optimization for Fusion Energy and Scientific Applications30 Apr 2026
38 more
- 2026A Finite Time Analysis of Thompson Sampling for Bayesian Optimization with Preferential Feedback27 Apr 2026
- 2026Practical Efficient Global Optimization is No-regret26 Mar 2026
- 2026Advancing Automated Algorithm Design via Evolutionary Stagewise Design with LLMs9 Mar 2026
- 2026MAST: A Multi-fidelity Augmented Surrogate model via Spatial Trust-weighting24 Feb 2026
- 2026Goal-Oriented Influence-Maximizing Data Acquisition for Learning and Optimization23 Feb 2026
- 2026Combinatorial Bandit Bayesian Optimization for Tensor Outputs31 Jan 2026
- 2025What Shape Is Optimal for Masks in Text Removal?27 Nov 2025
- 2025When AI Bends Metal: AI-Assisted Optimization of Design Parameters in Sheet Metal Forming27 Nov 2025
- 2025Bayesian Optimization for Function-Valued Responses under Min-Max Criteria26 Nov 2025
- 2025HeaRT: A Hierarchical Circuit Reasoning Tree-Based Agentic Framework for AMS Design Optimization24 Nov 2025
- 2025Bayesian Optimization on Networks31 Oct 2025
- 2025Relation-Aware Bayesian Optimization of DBMS Configurations Guided by Affinity Scores31 Oct 2025
- 2025LISTEN to Your Preferences: An LLM Framework for Multi-Objective Selection29 Oct 2025
- 2025SemanticOpt: Towards LLM-Based Semantic Black-Box Optimization29 Oct 2025
- 2025Synergizing chemical and AI communities for advancing laboratories of the future18 Oct 2025
- 2025A Multidisciplinary Design and Optimization (MDO) Agent Driven by Large Language Models6 Oct 2025
- 2025Counterfactual Credit Guided Bayesian Optimization6 Oct 2025
- 2025Black-Box Combinatorial Optimization with Order-Invariant Reinforcement Learning2 Oct 2025
- 2025Quantile-Scaled Bayesian Optimization Using Rank-Only Feedback28 Sep 2025
- 2025Adaptive Kernel Design for Bayesian Optimization Is a Piece of CAKE with LLMs22 Sep 2025
- 2025ChemBOMAS: Accelerated BO in Chemistry with LLM-Enhanced Multi-Agent System10 Sep 2025
- 2025Towards safe control parameter tuning in distributed multi-agent systems19 Aug 2025
- 2025Forecasting West Nile virus with deep graph encoders4 Aug 2025
- 2025Efficient Visual Appearance Optimization by Learning from Prior Preferences21 Jul 2025
- 2025Stress-Testing ML Pipelines with Adversarial Data Corruption2 Jun 2025
- 2025Causal-PIK: Causality-based Physical Reasoning with a Physics-Informed Kernel28 May 2025
- 2025Hyperparameter Optimization via Interacting with Probabilistic Circuits23 May 2025
- 2025LiBOG: Lifelong Learning for Black-Box Optimizer Generation19 May 2025
- 2025An Adaptive Dropout Approach for High-Dimensional Bayesian Optimization15 Apr 2025
- 2025crowd-hpo: Realistic Hyperparameter Optimization and Benchmarking for Learning from Crowds with Noisy Labels12 Apr 2025
- 2025Gradient-based Sample Selection for Faster Bayesian Optimization10 Apr 2025
- 2025A Balanced Approach of Rapid Genetic Exploration and Surrogate Exploitation for Hyperparameter Optimization10 Apr 2025
- 2025Multi-Variable Batch Bayesian Optimization in Materials Research: Synthetic Data Analysis of Noise Sensitivity and Problem Landscape Effects4 Apr 2025
- 2025Why risk matters for protein binder design31 Mar 2025
- 2025Sample-Efficient Bayesian Transfer Learning for Online Machine Parameter Optimization20 Mar 2025
- 2025BARK: A Fully Bayesian Tree Kernel for Black-box Optimization7 Mar 2025
- 2025Deterministic Global Optimization of the Acquisition Function in Bayesian Optimization: To Do or Not To Do?5 Mar 2025
- 2025Active Alignments of Lens Systems with Reinforcement Learning3 Mar 2025
50 newest of 74 All 74 (JSON)
- 2025HeaRT: A Hierarchical Circuit Reasoning Tree-Based Agentic Framework for AMS Design Optimizationcited by 5
- 2025ChemBOMAS: Accelerated BO in Chemistry with LLM-Enhanced Multi-Agent Systemcited by 3
- 2025A Multidisciplinary Design and Optimization (MDO) Agent Driven by Large Language Modelscited by 1
- 2025HeaRT: A Hierarchical Circuit Reasoning Tree-Based Agentic Framework for AMS Design Optimization24 Nov 2025
- 2025A Multidisciplinary Design and Optimization (MDO) Agent Driven by Large Language Models6 Oct 2025
- 2025ChemBOMAS: Accelerated BO in Chemistry with LLM-Enhanced Multi-Agent System10 Sep 2025
- 2023Bounce: Reliable High-Dimensional Bayesian Optimization for Combinatorial and Mixed Spacescited by 27
- 2024A survey and benchmark of high-dimensional Bayesian optimization of discrete sequencescited by 22
- 2023Bayesian Optimization of Catalysis With In-Context Learningcited by 20
- 2024Bayesian optimization as a flexible and efficient design framework for sustainable process systemscited by 15
- 2025Adaptive Kernel Design for Bayesian Optimization Is a Piece of CAKE with LLMscited by 15
- 2024Goal-Oriented Bayesian Optimal Experimental Design for Nonlinear Models using Markov Chain Monte Carlocited by 8
- 2024EARL-BO: Reinforcement Learning for Multi-Step Lookahead, High-Dimensional Bayesian Optimizationcited by 6
- 2023Risk-Controlling Model Selection via Guided Bayesian Optimizationcited by 5
- 2022Towards Fairness-Aware Multi-Objective Optimizationcited by 4
- 2022A Secure Federated Data-Driven Evolutionary Multi-objective Optimization Algorithmcited by 4
- 2024Model Uncertainty in Evolutionary Optimization and Bayesian Optimization: A Comparative Analysiscited by 4
- 2025On the convergence rate of noisy Bayesian Optimization with Expected Improvementcited by 4
12 most cited of 67 All 67 (JSON)
- 2026GUIDE-FBO: Guidance via Uncertainty Intervention and Distributional Exchange for Federated Bayesian Optimization28 Sep 2026
- 2026Converge Then Diversify: Decoupling Convergence and Diversity in Multi-Objective Bayesian Optimisation11 Sep 2026
- 2026NeurGO: Learning to Generate Elite Candidates for Meta-Black-Box Expensive Optimization26 Jul 2026
- 2026Optimization of time-consuming experimental conditions using pseudo-experimental data guided by adaptive polynomial regression24 Jul 2026
- 2026An Auto-Scaling Approach for Serverless Environments Based on a Multi-Expert Consensus Mechanism16 Jul 2026
- 2026LLM-Driven Evolutionary Generation of Multi-Objective Bayesian Optimization Algorithms6 Jul 2026
- 2026Unified Audio Intelligence Without Regressing on Text Intelligence6 Jul 2026
- 2026LABO: LLM-Accelerated Bayesian Optimization through Broad Exploration and Selective Experimentation21 May 2026
- 2026Differentiable Multiphysics Co-Optimization via Implicit Neural Representations: A Transient Hamburger-Cooking Benchmark1 May 2026
- 2026Human-in-the-Loop Meta Bayesian Optimization for Fusion Energy and Scientific Applications30 Apr 2026
- 2026A Finite Time Analysis of Thompson Sampling for Bayesian Optimization with Preferential Feedback27 Apr 2026
- 2026Practical Efficient Global Optimization is No-regret26 Mar 2026
12 newest of 67 All 67 (JSON)