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Supervising the Multi-Fidelity Race of Hyperparameter Configurations (2202.09774v2)

Published 20 Feb 2022 in cs.LG and cs.AI

Abstract: Multi-fidelity (gray-box) hyperparameter optimization techniques (HPO) have recently emerged as a promising direction for tuning Deep Learning methods. However, existing methods suffer from a sub-optimal allocation of the HPO budget to the hyperparameter configurations. In this work, we introduce DyHPO, a Bayesian Optimization method that learns to decide which hyperparameter configuration to train further in a dynamic race among all feasible configurations. We propose a new deep kernel for Gaussian Processes that embeds the learning curve dynamics, and an acquisition function that incorporates multi-budget information. We demonstrate the significant superiority of DyHPO against state-of-the-art hyperparameter optimization methods through large-scale experiments comprising 50 datasets (Tabular, Image, NLP) and diverse architectures (MLP, CNN/NAS, RNN).

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Authors (3)
  1. Martin Wistuba (30 papers)
  2. Arlind Kadra (7 papers)
  3. Josif Grabocka (37 papers)
Citations (11)

Summary

Overview of "Supervising the Multi-Fidelity Race of Hyperparameter Configurations"

The paper "Supervising the Multi-Fidelity Race of Hyperparameter Configurations" investigates the domain of hyperparameter optimization (HPO) within Deep Learning (DL). The authors propose DyHPO, a novel Bayesian Optimization method designed to dynamically allocate budgets among different hyperparameter configurations. The primary objective of this approach is to overcome the inefficiencies of current multi-fidelity HPO methods, which often suffer from sub-optimal budget allocation.

Deep Kernel Learning & Gaussian Processes

Central to the paper’s contribution is the development of a deep kernel for Gaussian Processes, which captures the dynamics of learning curves. Unlike conventional Gaussian Process models that utilize fixed kernels, this deep kernel approach uses a neural network to autonomously discern the optimal transformation for modeling hyperparameter configurations in conjunction with budget and learning curve data.

Acquisition Function with Multi-Budget Information

In conjunction with the deep kernel, the paper introduces an acquisition function tailored to incorporate multi-budget information. This enables DyHPO to effectively prioritize which hyperparameter configurations should receive additional computational resources. The acquisition function is a reimagined version of the Expected Improvement (EI) criterion, adapted for a multi-fidelity context, allowing for a more strategic exploration-exploitation trade-off across different levels of resource allocation.

Experimental Validation and Results

The paper validates DyHPO through extensive benchmarking, utilizing 50 datasets involving diverse data types and structures, including tabular data, image data, and natural language processing tasks. These benchmarks span a variety of machine learning architectures like MLP, CNN/NAS, and RNN. The results indicate that DyHPO significantly outperforms state-of-the-art methods such as Hyperband, BOHB, and DEHB in terms of both speed to convergence and final performance metrics.

Strong numerical evidence presented includes the superior empirical performance of DyHPO in terms of mean regret across datasets. Furthermore, analyses indicate a statistically significant performance improvement over competitor methods, substantiated by critical difference diagrams.

Practical and Theoretical Implications

Practically, DyHPO offers a more efficient use of computational resources, presenting a notable advantage for deep learning practitioners, especially when training time is a critical consideration. Its ability to handle poor rank correlation of configuration performances across different budgets showcases potential applicability in scalable DL applications.

Theoretically, the introduction of deep kernel learning within the HPO domain provides an intriguing pathway for future research endeavors, particularly in marrying neural networks and Bayesian optimization techniques. Additionally, it opens new discussions about surrogate model development in complex search spaces like hyperparameters involving mixed data types and scales.

Future Pathways and Improvements

Future work could explore the application of DyHPO in real-world, large-scale DL models, such as transformer architectures, where hyperparameter tuning is computationally demanding. Enhancements in algorithmic efficiency, further fine-tuning of the dynamic allocation strategies, and reduction in computational overhead could also be critical areas of progress. Furthermore, developing lightweight surrogates for faster adaptability to uncharted search spaces might extend the applicability of DyHPO to new frontiers in DL research.

In summary, the paper introduces an innovative method within the HPO landscape, demonstrating significant improvements over existing methodologies and suggesting promising avenues for further research in AI optimization strategies.

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