ICML2026

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

摘要

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 (C2^2R), a margin-centric 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 C2^2R achieves the best robust accuracy, outperforming prior robust DD methods by 2.82.8% on average. Under PGD, C2^2R also reduces the average drop rate (DR) below 66.866.8% across datasets, indicating a stronger accuracy–robustness balance.