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C^2R

Mind Your Margin and Boundary: Are Your Distilled Datasets Truly Robust?

Muquan Li, Yingyi Ma, Yihong Huang, Hang Gou, Ke Qin, Ming Li, Yuan-Fang Li, Tao He

ICML 2026 · first public 2026-05-20 · arXiv 2605.20606

paper ↗notable✓ abstract read

In one paragraph

Argues prior robust dataset distillation trades off accuracy for robustness poorly because it treats all adversarial examples uniformly and does not explicitly widen inter-class decision-boundary separation; C^2R instead derives a robust-margin perturbation score to build an attack-aware curriculum that prioritizes the smallest-margin adversaries driving robust error, paired with a class-balanced contrastive robustness loss that widens boundary separation. Reports the best robust accuracy across six attacks on CIFAR-10/100, Tiny-ImageNet and ImageNet-1K subsets, beating prior robust DD by 2.8% on average.

Where it sits

Abstract (verbatim from arXiv)

Dataset distillation (DD) compresses a large training set into a small synthetic set for efficient training, but most DD methods optimize only clean accuracy and leave robustness uncontrolled. Recent robust DD methods improve robustness, yet they often suffer from a poor accuracy-robustness trade-off because they (i) treat all adversarially perturbed examples uniformly, despite robust risk being dominated by near-zero robust margins, and (ii) do not explicitly increase inter-class separation in the decision boundary where attacks concentrate. We present Contrastive Curriculum for Robust Dataset Distillation (C^2R), a framework that couples an attack-aware curriculum with a contrastive robustness objective. From a robust-margin perspective, we derive a perturbation score that approximates each sample's robust hinge, enabling a curriculum that prioritizes the smallest-margin adversaries that most directly drive robust error. In parallel, a class-balanced contrastive robustness loss enforces adversarial invariance while explicitly widening boundary separation across classes. Experiments on CIFAR-10/100, Tiny-ImageNet, and multiple ImageNet-1K subsets under six attacks show that C^2R achieves the best robust accuracy, outperforming prior robust DD by 2.8% on average.

BibTeX (generated; prefer the venue's official entry)
@article{li2026mind,
  title   = {Mind Your Margin and Boundary: Are Your Distilled Datasets Truly Robust?},
  author  = {Muquan Li and Yingyi Ma and Yihong Huang and Hang Gou and Ke Qin and Ming Li and Yuan-Fang Li and Tao He},
  journal = {ICML 2026},
  year    = {2026}
}

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