On Joint Regularization and Calibration in Deep Ensembles

Fuente: arXiv
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Hauptverfasser: Fredsgaard, Laurits, Schmidt, Mikkel N.
Format: Preprint
Veröffentlicht: 2025
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author Fredsgaard, Laurits
Schmidt, Mikkel N.
author_facet Fredsgaard, Laurits
Schmidt, Mikkel N.
contents Deep ensembles are a powerful tool in machine learning, improving both model performance and uncertainty calibration. While ensembles are typically formed by training and tuning models individually, evidence suggests that jointly tuning the ensemble can lead to better performance. This paper investigates the impact of jointly tuning weight decay, temperature scaling, and early stopping on both predictive performance and uncertainty quantification. Additionally, we propose a partially overlapping holdout strategy as a practical compromise between enabling joint evaluation and maximizing the use of data for training. Our results demonstrate that jointly tuning the ensemble generally matches or improves performance, with significant variation in effect size across different tasks and metrics. We highlight the trade-offs between individual and joint optimization in deep ensemble training, with the overlapping holdout strategy offering an attractive practical solution. We believe our findings provide valuable insights and guidance for practitioners looking to optimize deep ensemble models. Code is available at: https://github.com/lauritsf/ensemble-optimality-gap
format Preprint
id arxiv_https___arxiv_org_abs_2511_04160
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Joint Regularization and Calibration in Deep Ensembles
Fredsgaard, Laurits
Schmidt, Mikkel N.
Machine Learning
Deep ensembles are a powerful tool in machine learning, improving both model performance and uncertainty calibration. While ensembles are typically formed by training and tuning models individually, evidence suggests that jointly tuning the ensemble can lead to better performance. This paper investigates the impact of jointly tuning weight decay, temperature scaling, and early stopping on both predictive performance and uncertainty quantification. Additionally, we propose a partially overlapping holdout strategy as a practical compromise between enabling joint evaluation and maximizing the use of data for training. Our results demonstrate that jointly tuning the ensemble generally matches or improves performance, with significant variation in effect size across different tasks and metrics. We highlight the trade-offs between individual and joint optimization in deep ensemble training, with the overlapping holdout strategy offering an attractive practical solution. We believe our findings provide valuable insights and guidance for practitioners looking to optimize deep ensemble models. Code is available at: https://github.com/lauritsf/ensemble-optimality-gap
title On Joint Regularization and Calibration in Deep Ensembles
topic Machine Learning
url https://arxiv.org/abs/2511.04160