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Multiplicative Reweighting for Robust Neural Network Optimization

Machine Learning 2025-11-12 v5 Cryptography and Security

Abstract

Neural networks are widespread due to their powerful performance. Yet, they degrade in the presence of noisy labels at training time. Inspired by the setting of learning with expert advice, where multiplicative weights (MW) updates were recently shown to be robust to moderate data corruptions in expert advice, we propose to use MW for reweighting examples during neural networks optimization. We theoretically establish the convergence of our method when used with gradient descent and prove its advantages in 1d cases. We then validate empirically our findings for the general case by showing that MW improves neural networks' accuracy in the presence of label noise on CIFAR-10, CIFAR-100 and Clothing1M. We also show the impact of our approach on adversarial robustness.

Keywords

Cite

@article{arxiv.2102.12192,
  title  = {Multiplicative Reweighting for Robust Neural Network Optimization},
  author = {Noga Bar and Tomer Koren and Raja Giryes},
  journal= {arXiv preprint arXiv:2102.12192},
  year   = {2025}
}

Comments

Our code is publicly available in https://github.com/NogaBar/mr_robust_optim

R2 v1 2026-06-23T23:28:05.733Z