Freeze-Thaw Bayesian Optimization
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Abstract (arXiv)
In this paper we develop a dynamic form of Bayesian optimization for machine learning models with the goal of rapidly finding good hyperparameter settings. Our method uses the partial information gained during the training of a machine learning model in order to decide whether to pause training and start a new model, or resume the training of a previously-considered model. We specifically tailor our method to machine learning problems by developing a novel positive-definite covariance kernel to capture a variety of training curves. Furthermore, we develop a Gaussian process prior that scales gracefully with additional temporal observations. Finally, we provide an information-theoretic framework to automate the decision process. Experiments on several common machine learning models show that our approach is extremely effective in practice.
Key facts. Cited by 86 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 Jun 2014.
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Citing papers per year: 2021: 25; 2022: 12; 2023: 8; 2024: 14; 2025: 10; 2026: 17.
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- 2021Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challengescited by 143
- 2021HPOBench: A Collection of Reproducible Multi-Fidelity Benchmark Problems for HPOcited by 111
- 2021YAHPO Gym -- An Efficient Multi-Objective Multi-Fidelity Benchmark for Hyperparameter Optimizationcited by 61
- 2021Unbiased Gradient Estimation in Unrolled Computation Graphs with Persistent Evolution Strategiescited by 52
- 2023Efficient Bayesian Learning Curve Extrapolation using Prior-Data Fitted Networkscited by 37
- 2024Aioli: A Unified Optimization Framework for Language Model Data Mixingcited by 33
- 2023PriorBand: Practical Hyperparameter Optimization in the Age of Deep Learningcited by 31
- 2022Learning Curves for Decision Making in Supervised Machine Learning: A Surveycited by 27
- 2024In-Context Freeze-Thaw Bayesian Optimization for Hyperparameter Optimizationcited by 26
- 2021Towards Green Automated Machine Learning: Status Quo and Future Directionscited by 25
- 2022AUTOMATA: Gradient Based Data Subset Selection for Compute-Efficient Hyper-parameter Tuningcited by 22
- 2021Automatic Termination for Hyperparameter Optimizationcited by 21
38 more
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- 2022Supervising the Multi-Fidelity Race of Hyperparameter Configurationscited by 15
- 2021AutoLRS: Automatic Learning-Rate Schedule by Bayesian Optimization on the Flycited by 14
- 2021Automated Deep Learning: Neural Architecture Search Is Not the Endcited by 13
- 2024Adaptive Learn-then-Test: Statistically Valid and Efficient Hyperparameter Selectioncited by 13
- 2021Faster Improvement Rate Population Based Trainingcited by 12
- 2023Optimizing Hyperparameters with Conformal Quantile Regressioncited by 10
- 2021Accelerating Evolutionary Neural Architecture Search via Multi-Fidelity Evaluationcited by 9
- 2021RANK-NOSH: Efficient Predictor-Based Architecture Search via Non-Uniform Successive Halvingcited by 9
- 2022Amortized Proximal Optimizationcited by 9
- 2024Scaling Gaussian Processes for Learning Curve Prediction via Latent Kronecker Structurecited by 9
- 2026HARBOR: Automated Harness Optimizationcited by 9
- 2021Non-smooth Bayesian Optimization in Tuning Problemscited by 8
- 2022Bayesian Optimization Over Iterative Learners with Structured Responses: A Budget-aware Planning Approachcited by 8
- 2025Data Mixture Optimization: A Multi-fidelity Multi-scale Bayesian Frameworkcited by 8
- 2025When to retrain a machine learning modelcited by 8
- 2025Scaling with Collapse: Efficient and Predictable Training of LLM Familiescited by 8
- 2021Scalable One-Pass Optimisation of High-Dimensional Weight-Update Hyperparameters by Implicit Differentiationcited by 7
- 2022TransBO: Hyperparameter Optimization via Two-Phase Transfer Learningcited by 7
- 2023Low-Variance Gradient Estimation in Unrolled Computation Graphs with ES-Singlecited by 7
- 2024Reshuffling Resampling Splits Can Improve Generalization of Hyperparameter Optimizationcited by 7
- 2021Batch Multi-Fidelity Bayesian Optimization with Deep Auto-Regressive Networkscited by 6
- 2022FedHPO-B: A Benchmark Suite for Federated Hyperparameter Optimizationcited by 6
- 2022Neural Architecture Search for Energy Efficient Always-on Audio Modelscited by 5
- 2024Architecture-Aware Learning Curve Extrapolation via Graph Ordinary Differential Equationcited by 5
- 2021Efficient Hyperparameter Optimization for Physics-based Character Animationcited by 4
- 2021Amortized Auto-Tuning: Cost-Efficient Bayesian Transfer Optimization for Hyperparameter Recommendationcited by 4
- 2021HyperJump: Accelerating HyperBand via Risk Modellingcited by 4
- 2021Automated Benchmark-Driven Design and Explanation of Hyperparameter Optimizerscited by 4
- 2021Cost-Efficient Online Hyperparameter Optimizationcited by 2
- 2024NeuroLGP-SM: A Surrogate-assisted Neuroevolution Approach using Linear Genetic Programmingcited by 2
- 2024Cost-Sensitive Multi-Fidelity Bayesian Optimization with Transfer of Learning Curve Extrapolationcited by 2
- 2025Information-theoretic Bayesian Optimization: Survey and Tutorialcited by 2
- 2025Tune My Adam, Please!cited by 2
- 2025Zero-Shot Performance Prediction for Probabilistic Scaling Lawscited by 2
- 2025Cost-Sensitive Freeze-thaw Bayesian Optimization for Efficient Hyperparameter Tuningcited by 2
50 most cited of 86 All 86 (JSON)
- 2026When does a network's training history predict its future learning better than its current state? Evidence from a response probe and a forecasting screen7 Oct 2026
- 2026Meta-learning accelerates detector design optimization22 Sep 2026
- 2026Physics-residual machine learning predicts oxygen-evolution catalyst activity beyond the training range from sparse polarization measurements20 Sep 2026
- 2026Bayesian Optimization with Rich Auxiliary Information via LLMs16 Sep 2026
- 2026Early-Stopping Thresholds for ES-HyperNEAT: A Data-Driven Approach from Fitness Dynamics11 Sep 2026
- 2026Revelation Control24 Aug 2026
- 2026Compiled Agency: Frontier General-Purpose Coding Agents Build Winning Game Players from Bare Interaction - from Flappy Bird to StarCraft II and Civilization17 Jul 2026
- 2026Evolutionary Two-Stage Hyperparameter Optimization Strategies for Physics-Informed Neural Networks18 Jun 2026
- 2026Active Budget Allocation for Efficient Scaling Law Estimation via Surrogate-Guided Pruning17 May 2026
- 2026HARBOR: Automated Harness Optimization22 Apr 2026
- 2026Adaptive Candidate Point Thompson Sampling for High-Dimensional Bayesian Optimization10 Apr 2026
- 2026Systematic Scaling Analysis of Jailbreak Attacks in Large Language Models11 Mar 2026
38 more
- 2026Empirical Gaussian Processes12 Feb 2026
- 2026Training Memory in Deep Neural Networks: Mechanisms, Evidence, and Measurement Gaps29 Jan 2026
- 2026Neural Neural Scaling Laws27 Jan 2026
- 2026Dynamic Hyperparameter Importance for Efficient Multi-Objective Optimization6 Jan 2026
- 2026Data Complexity-aware Deep Model Performance Forecasting4 Jan 2026
- 2025Cost-Sensitive Freeze-thaw Bayesian Optimization for Efficient Hyperparameter Tuning24 Oct 2025
- 2025Zero-Shot Performance Prediction for Probabilistic Scaling Laws19 Oct 2025
- 2025Scaling with Collapse: Efficient and Predictable Training of LLM Families29 Sep 2025
- 2025Tune My Adam, Please!27 Aug 2025
- 2025You Only Train Once4 Jun 2025
- 2025Bayesian Neural Scaling Law Extrapolation with Prior-Data Fitted Networks29 May 2025
- 2025LCDB 1.1: A Database Illustrating Learning Curves Are More Ill-Behaved Than Previously Thought21 May 2025
- 2025When to retrain a machine learning model20 May 2025
- 2025Data Mixture Optimization: A Multi-fidelity Multi-scale Bayesian Framework26 Mar 2025
- 2025Information-theoretic Bayesian Optimization: Survey and Tutorial22 Jan 2025
- 2024Architecture-Aware Learning Curve Extrapolation via Graph Ordinary Differential Equation20 Dec 2024
- 2024Aioli: A Unified Optimization Framework for Language Model Data Mixing8 Nov 2024
- 2024Scaling Gaussian Processes for Learning Curve Prediction via Latent Kronecker Structure11 Oct 2024
- 2024Meta-Learning from Learning Curves for Budget-Limited Algorithm Selection10 Oct 2024
- 2024Adaptive Learn-then-Test: Statistically Valid and Efficient Hyperparameter Selection24 Sep 2024
- 2024FastBO: Fast HPO and NAS with Adaptive Fidelity Identification1 Sep 2024
- 2024Beyond Trend Following: Deep Learning for Market Trend Prediction10 Jun 2024
- 2024Cost-Sensitive Multi-Fidelity Bayesian Optimization with Transfer of Learning Curve Extrapolation28 May 2024
- 2024Reshuffling Resampling Splits Can Improve Generalization of Hyperparameter Optimization24 May 2024
- 2024A Trajectory-Based Bayesian Approach to Multi-Objective Hyperparameter Optimization with Epoch-Aware Trade-Offs24 May 2024
- 2024In-Context Freeze-Thaw Bayesian Optimization for Hyperparameter Optimization25 Apr 2024
- 2024NeuroLGP-SM: Scalable Surrogate-Assisted Neuroevolution for Deep Neural Networks12 Apr 2024
- 2024NeuroLGP-SM: A Surrogate-assisted Neuroevolution Approach using Linear Genetic Programming28 Mar 2024
- 2024Strong convexity-guided hyper-parameter optimization for flatter losses7 Feb 2024
- 2023Can we infer the presence of Differential Privacy in Deep Learning models' weights? Towards more secure Deep Learning20 Nov 2023
- 2023Efficient Bayesian Learning Curve Extrapolation using Prior-Data Fitted Networks31 Oct 2023
- 2023PriorBand: Practical Hyperparameter Optimization in the Age of Deep Learning21 Jun 2023
- 2023Efficient and Robust Bayesian Selection of Hyperparameters in Dimension Reduction for Visualization1 Jun 2023
- 2023Optimizing Hyperparameters with Conformal Quantile Regression5 May 2023
- 2023Low-Variance Gradient Estimation in Unrolled Computation Graphs with ES-Single21 Apr 2023
- 2023Hyper-parameter Tuning for Adversarially Robust Models5 Apr 2023
- 2023Learning to Rank Normalized Entropy Curves with Differentiable Window Transformation25 Jan 2023
- 2022Meta-learning from Learning Curves Challenge: Lessons learned from the First Round and Design of the Second Round4 Aug 2022
50 newest of 86 All 86 (JSON)
- 2021Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challengescited by 143
- 2021HPOBench: A Collection of Reproducible Multi-Fidelity Benchmark Problems for HPOcited by 111
- 2021YAHPO Gym -- An Efficient Multi-Objective Multi-Fidelity Benchmark for Hyperparameter Optimizationcited by 61
- 2021Unbiased Gradient Estimation in Unrolled Computation Graphs with Persistent Evolution Strategiescited by 52
- 2023Efficient Bayesian Learning Curve Extrapolation using Prior-Data Fitted Networkscited by 37
- 2024Aioli: A Unified Optimization Framework for Language Model Data Mixingcited by 33
- 2023PriorBand: Practical Hyperparameter Optimization in the Age of Deep Learningcited by 31
- 2022Learning Curves for Decision Making in Supervised Machine Learning: A Surveycited by 27
- 2024In-Context Freeze-Thaw Bayesian Optimization for Hyperparameter Optimizationcited by 26
- 2021Towards Green Automated Machine Learning: Status Quo and Future Directionscited by 25
- 2022AUTOMATA: Gradient Based Data Subset Selection for Compute-Efficient Hyper-parameter Tuningcited by 22
- 2021Automatic Termination for Hyperparameter Optimizationcited by 21
12 most cited of 83 All 83 (JSON)
- 2026When does a network's training history predict its future learning better than its current state? Evidence from a response probe and a forecasting screen7 Oct 2026
- 2026Meta-learning accelerates detector design optimization22 Sep 2026
- 2026Physics-residual machine learning predicts oxygen-evolution catalyst activity beyond the training range from sparse polarization measurements20 Sep 2026
- 2026Bayesian Optimization with Rich Auxiliary Information via LLMs16 Sep 2026
- 2026Early-Stopping Thresholds for ES-HyperNEAT: A Data-Driven Approach from Fitness Dynamics11 Sep 2026
- 2026Revelation Control24 Aug 2026
- 2026Evolutionary Two-Stage Hyperparameter Optimization Strategies for Physics-Informed Neural Networks18 Jun 2026
- 2026Active Budget Allocation for Efficient Scaling Law Estimation via Surrogate-Guided Pruning17 May 2026
- 2026Adaptive Candidate Point Thompson Sampling for High-Dimensional Bayesian Optimization10 Apr 2026
- 2026Empirical Gaussian Processes12 Feb 2026
- 2026Training Memory in Deep Neural Networks: Mechanisms, Evidence, and Measurement Gaps29 Jan 2026
- 2026Neural Neural Scaling Laws27 Jan 2026
12 newest of 83 All 83 (JSON)