Training Over-parameterized Models with Non-decomposable Objectives
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Abstract (arXiv)
Many modern machine learning applications come with complex and nuanced design goals such as minimizing the worst-case error, satisfying a given precision or recall target, or enforcing group-fairness constraints. Popular techniques for optimizing such non-decomposable objectives reduce the problem into a sequence of cost-sensitive learning tasks, each of which is then solved by re-weighting the training loss with example-specific costs. We point out that the standard approach of re-weighting the loss to incorporate label costs can produce unsatisfactory results when used to train over-parameterized models. As a remedy, we propose new cost-sensitive losses that extend the classical idea of logit adjustment to handle more general cost matrices. Our losses are calibrated, and can be further improved with distilled labels from a teacher model. Through experiments on benchmark image datasets, we showcase the effectiveness of our approach in training ResNet models with common robust and constrained optimization objectives.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 48 of its 113 references that are in the map. First posted on arXiv 9 Jul 2021.
Builds on
48 of 113 references.
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36 more
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Built on by
Citing papers per year: 2022: 3; 2023: 3; 2024: 1; 2025: 2; 2026: 2.
11 papers.
- 2022Rank-based Decomposable Losses in Machine Learning: A Surveycited by 26
- 2023Long-Tailed Partial Label Learning via Dynamic Rebalancingcited by 22
- 2022Robust Distillation for Worst-class Performancecited by 6
- 2022Importance Tempering: Group Robustness for Overparameterized Modelscited by 6
- 2023Cost-Sensitive Self-Training for Optimizing Non-Decomposable Metricscited by 4
- 2023A comprehensive theoretical framework for the optimization of neural networks classification performance with respect to weighted metricscited by 3
- 2024Selective Mixup Fine-Tuning for Optimizing Non-Decomposable Objectivescited by 2
- 2026DRAGON: Robust Classification for Very Large Collections of Software Repositoriescited by 1
- 2025Cost-Sensitive Learning for Long-Tailed Temporal Action Segmentationcited by 0
- 2025FedFACT: A Provable Framework for Controllable Group-Fairness Calibration in Federated Learningcited by 0
- 2026Demystifying the Optimal Fair Classifier in Multi-Class Classificationcited by 0
- 2026Demystifying the Optimal Fair Classifier in Multi-Class Classification30 May 2026
- 2026DRAGON: Robust Classification for Very Large Collections of Software Repositories9 Feb 2026
- 2025FedFACT: A Provable Framework for Controllable Group-Fairness Calibration in Federated Learning4 Jun 2025
- 2025Cost-Sensitive Learning for Long-Tailed Temporal Action Segmentation24 Mar 2025
- 2024Selective Mixup Fine-Tuning for Optimizing Non-Decomposable Objectives27 Mar 2024
- 2023A comprehensive theoretical framework for the optimization of neural networks classification performance with respect to weighted metrics22 May 2023
- 2023Cost-Sensitive Self-Training for Optimizing Non-Decomposable Metrics28 Apr 2023
- 2023Long-Tailed Partial Label Learning via Dynamic Rebalancing10 Feb 2023
- 2022Importance Tempering: Group Robustness for Overparameterized Models19 Sep 2022
- 2022Rank-based Decomposable Losses in Machine Learning: A Survey18 Jul 2022
- 2022Robust Distillation for Worst-class Performance13 Jun 2022