Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challenges
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Abstract (arXiv)
Most machine learning algorithms are configured by one or several hyperparameters that must be carefully chosen and often considerably impact performance. To avoid a time consuming and unreproducible manual trial-and-error process to find well-performing hyperparameter configurations, various automatic hyperparameter optimization (HPO) methods, e.g., based on resampling error estimation for supervised machine learning, can be employed. After introducing HPO from a general perspective, this paper reviews important HPO methods such as grid or random search, evolutionary algorithms, Bayesian optimization, Hyperband and racing. It gives practical recommendations regarding important choices to be made when conducting HPO, including the HPO algorithms themselves, performance evaluation, how to combine HPO with ML pipelines, runtime improvements, and parallelization. This work is accompanied by an appendix that contains information on specific software packages in R and Python, as well as information and recommended hyperparameter search spaces for specific learning algorithms. We also provide notebooks that demonstrate concepts from this work as supplementary files.
Key facts. Cited by 145 papers in the map (data through 14 Oct 2026). Builds on 84 of its 275 references that are in the map. First posted on arXiv 13 Jul 2021.
Builds on
84 of 275 references.
References · 84
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
- 2016XGBoost: A Scalable Tree Boosting Systemcited by 5,166
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 5,045
- 2017Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networkscited by 4,897
- 2019Optuna: A Next-generation Hyperparameter Optimization Frameworkcited by 2,501
- 2018DARTS: Differentiable Architecture Searchcited by 1,798
- 2017Learning Transferable Architectures for Scalable Image Recognitioncited by 1,101
- 2018Regularized Evolution for Image Classifier Architecture Searchcited by 909
- 2015Automatic differentiation in machine learning: a surveycited by 855
- 2016Hyperband: A Novel Bandit-Based Approach to Hyperparameter Optimizationcited by 699
- 2018GPyTorch: Blackbox Matrix-Matrix Gaussian Process Inference with GPU Accelerationcited by 609
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- 2014OpenML: networked science in machine learningcited by 526
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- 2020AutoGluon-Tabular: Robust and Accurate AutoML for Structured Datacited by 383
- 2019Scalable Global Optimization via Local Bayesian Optimizationcited by 374
- 2015Gradient-based Hyperparameter Optimization through Reversible Learningcited by 360
- 2019Optimizing Millions of Hyperparameters by Implicit Differentiationcited by 304
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- 2015MXNet: A Flexible and Efficient Machine Learning Library for Heterogeneous Distributed Systemscited by 195
- 2016Learning to Optimizecited by 195
- 2013Bayesian Optimization in a Billion Dimensions via Random Embeddingscited by 182
- 2020On Hyperparameter Optimization of Machine Learning Algorithms: Theory and Practicecited by 182
- 2019BANANAS: Bayesian Optimization with Neural Architectures for Neural Architecture Searchcited by 179
- 2015ranger: A Fast Implementation of Random Forests for High Dimensional Data in C++ and Rcited by 172
- 2018Auto-Keras: An Efficient Neural Architecture Search Systemcited by 171
- 2021Bayesian Optimization is Superior to Random Search for Machine Learning Hyperparameter Tuning: Analysis of the Black-Box Optimization Challenge 2020cited by 148
- 2016GPflow: A Gaussian process library using TensorFlowcited by 140
- 2015High Dimensional Bayesian Optimisation and Bandits via Additive Modelscited by 139
- 2016COCO: A Platform for Comparing Continuous Optimizers in a Black-Box Settingcited by 138
- 2016Fast Bayesian Optimization of Machine Learning Hyperparameters on Large Datasetscited by 132
- 2020Hyper-Parameter Optimization: A Review of Algorithms and Applicationscited by 114
- 2014Bayesian Optimization with Unknown Constraintscited by 109
- 2018Tunability: Importance of Hyperparameters of Machine Learning Algorithmscited by 99
- 2014Freeze-Thaw Bayesian Optimizationcited by 90
- 2014ParamILS: An Automatic Algorithm Configuration Frameworkcited by 89
- 2015Predictive Entropy Search for Multi-objective Bayesian Optimizationcited by 88
- 2018Hyperparameters and Tuning Strategies for Random Forestcited by 84
- 2016Evaluation of a Tree-based Pipeline Optimization Tool for Automating Data Sciencecited by 75
- 2021HPO-B: A Large-Scale Reproducible Benchmark for Black-Box HPO based on OpenMLcited by 75
- 2019Meta-Learning of Neural Architectures for Few-Shot Learningcited by 73
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- 2014Input Warping for Bayesian Optimization of Non-stationary Functionscited by 67
- 2019Tuning Hyperparameters without Grad Students: Scalable and Robust Bayesian Optimisation with Dragonflycited by 67
- 2020Auto-PyTorch Tabular: Multi-Fidelity MetaLearning for Efficient and Robust AutoDLcited by 67
- 2017Dealing with Integer-valued Variables in Bayesian Optimization with Gaussian Processescited by 66
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