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Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challenges (2107.05847v3)

Published 13 Jul 2021 in stat.ML and cs.LG

Abstract: 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.

An Insight into "Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challenges"

The paper under discussion provides a comprehensive review of hyperparameter optimization (HPO), a pivotal aspect of ML that fundamentally influences algorithm performance. By systematizing the vast and fragmented landscape of HPO methods, the authors offer a resource aimed at both demystifying the concept for researchers hesitant to adopt advanced techniques and providing seasoned academics with a structured overview to compare and apply HPO effectively.

Summary of Hyperparameter Optimization Techniques

The paper begins by delineating the underlying problem of HPO within the field of black-box optimization where hyperparameters (HPs) govern the actual learning process and affect model performance. The authors emphasize the demand for automated approaches over traditional manual tuning, highlighting the inefficiencies and irreproducibility of the latter.

An array of established HPO methods is meticulously surveyed, ranging from rudimentary strategies such as grid search (GS) and random search (RS) to more sophisticated algorithms like Evolution Strategies (ES) and Bayesian Optimization (BO). The text elucidates how each technique navigates the trade-off between exploration and exploitation and details the conditions under which one might outperform another. For instance, BO with Gaussian processes, renowned for modeling performance with predicted uncertainties, excels in lower-dimensional spaces, while RS can be unexpectedly efficacious in settings where crucial HPs are sparsely distributed in the configuration space.

The exploration of multifidelity methods, notably Hyperband, brings to light mechanisms for optimizing HPO processes under resource constraints, catering to the continually growing demand for efficiency in HPO tasks.

Best Practices and Practical Recommendations

A notable contribution of the paper is its practical advice on executing HPO. The authors advocate for the judicious selection of resampling strategies, cautioning against the pitfalls of over-tuning and emphasizing the necessity of employing nested cross-validation to achieve unbiased generalization performance estimates. This approach inherently supports the reliable comparison of models while maintaining computational efficiency—a critical consideration for researchers handling data of varying sizes and qualitative attributes.

The paper also underscores the significance of constructing effective search spaces tailored to specific ML tasks. The suggested attenuation through logarithmic scaling for HPs controlling ranges and the careful definition of categorical parameters align with broader efforts in ML to streamline computational demands without compromising output quality.

Open Challenges and Theoretical Implications

Beyond practical applications, the text engages with theoretical and speculative implications of HPO, touching upon burgeoning areas of exploration. Topics like integrating HPO into real-time, interactive ML workflows, and the challenges of optimizing deep learning architectures suggest avenues for future research. The discussion also brings attention to the phenomenon of overtuning—where excessive HP search leads to artificial performance inflation—and the need for regularization strategies in HPO.

The prospects of HPO intersect with other research domains such as dynamic algorithm configuration, meta-learning, and automated machine learning (AutoML), illustrating the multifaceted impact of advancement in HPO.

Conclusion

Overall, the paper serves as a vital scholarly resource, systematizing the foundations and advancements in HPO. While it sets the groundwork for further research, particularly in areas such as interactive HPO frameworks and overtuning reduction, it also provides immediate, pragmatic insights for optimizing ML protocols. By bridging theoretical concepts and applied techniques, the authors have crafted a document that spurs innovation in computational efficiency and the predictive power of learning algorithms within the broader field of artificial intelligence.

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Authors (12)
  1. Bernd Bischl (136 papers)
  2. Martin Binder (8 papers)
  3. Michel Lang (15 papers)
  4. Tobias Pielok (5 papers)
  5. Jakob Richter (9 papers)
  6. Stefan Coors (6 papers)
  7. Janek Thomas (20 papers)
  8. Theresa Ullmann (5 papers)
  9. Marc Becker (4 papers)
  10. Anne-Laure Boulesteix (28 papers)
  11. Difan Deng (10 papers)
  12. Marius Lindauer (71 papers)
Citations (351)
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