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How Far Are We from True Unlearnability?
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Shows that existing unlearnable examples fail to stay unlearnable in multi-task (Taskonomy) settings, proposes Sharpness-Aware Learnability (SAL) and Unlearnable Distance (UD) based on loss-landscape sharpness, and benchmarks mainstream unlearnable methods with UD.
Problem
Existing unlearnable examples (UEs) are designed against single-task classification, and it is unclear whether they remain unlearnable across multiple tasks such as segmentation and depth estimation; existing evaluation relies on test accuracy, which does not explain why UEs work.
Approach
Explain unlearnability via the loss landscape and parameter sharpness: UEs reduce the sharpness-aware learnability (SAL) of parameters, so the fraction of parameters with high SAL (split by a K-means threshold on clean training) gives an Unlearnable Distance measuring how far a UE set is from truly unlearnable.
Key results
- On ImageNet-100 with ResNet-18, EM achieves the lowest UD (0.011), while on CIFAR-10 OPS (0.157) and EM (0.187) are best and TAP has UD 1.639, above 1.
- On CIFAR-10 ResNet-18, UEs reduce test accuracy to 10-30% (e.g., OPS 11.98%, EM 26.52%) versus 94.11% for clean training.
- Defenses such as JPEG compression raise UD for EM and OPS, while TAP's UD drops; ViT yields the highest UD for EM (1.573), suggesting stronger models make unlearnability harder to maintain.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use EM perturbations instead of clean training | ResNet-18 · Taskonomy multi-task training | task performance | No clear effect |
| Use existing unlearnable examples instead of clean data | ResNet multi-task model · Taskonomy | task performance | No clear effect |
| Use EM perturbations generated for one task | Taskonomy multi-task model · cross-task training | task performance | No clear effect |
| Use EM instead of clean data | ResNet-18 · CIFAR-10 | UD: 0.187 | Helped |
| Use OPS instead of clean data | ResNet-18 · CIFAR-10 | UD: 0.157 | Helped |
| Use TAP instead of clean data | ResNet-18 · CIFAR-10 | UD: 1.639 | Hurt |
| Use EM instead of clean data | ResNet-18 · CIFAR-100 | UD: 0.111 | Helped |
| Use OPS instead of clean data | ResNet-18 · CIFAR-100 | UD: 0.009 | Helped |
| Use TAP instead of clean data | ResNet-18 · CIFAR-100 | UD: 1.213 | Hurt |
| Use EM instead of clean data | ResNet-18 · ImageNet-100 | UD: 0.011 | Helped |
| Use OPS instead of clean data | ResNet-18 · ImageNet-100 | UD: 1.430 | Hurt |
| Use TAP instead of clean data | ResNet-18 · ImageNet-100 | UD: 2.269 | Hurt |
Surprising findings
- Existing UEs such as EM fail to exhibit unlearnability in multi-task training on Taskonomy, with minimal impact on task metrics.
- TAP, an adversarial-example attack, shows UD above 1 (more learnable parameters than clean), so UD classifies it as not a true unlearnable example despite low test accuracy.
Limitations
- SAL computation is time-consuming, so multi-task analysis uses heat maps and the UD is only labeled rather than systematically computed for multi-task models.
- The threshold relies on K-means on clean-model SAL, and the paper notes shortcut learning does not fully explain unlearnability.
- Multi-task analysis uses a tiny Taskonomy split and a single ResNet backbone.
Experimental setup
Datasets: CIFAR-10 CIFAR-100 ImageNet-100 Taskonomy MNIST make_classification (scikit-learn)
Benchmarks: CIFAR-10 CIFAR-100 ImageNet-100 Taskonomy
Metrics: test accuracy Unlearnable Distance (UD) number of learnable parameters (#LP)
Baselines: EM REM DC TAP LSP OPS
Builds on: Sharpness-Aware Minimization Error-Minimizing noise (EM) OPS K-Means
Closest papers by meaning
- A3: Few-shot Prompt Learning of Unlearnable Examples with Cross-Modal Adversarial Feature Alignment (CVPR 2025 · similarity 0.87)
- One for All: A Universal Generator for Concept Unlearnability via Multi-Modal Alignment (ICML 2024 · similarity 0.87)
- Ungeneralizable Examples (CVPR 2024 · similarity 0.87)
- On Large Language Model Continual Unlearning (ICLR 2025 · similarity 0.87)
- Label-Agnostic Forgetting: A Supervision-Free Unlearning in Deep Models (ICLR 2024 · similarity 0.86)
- Towards Robust Knowledge Unlearning: An Adversarial Framework for Assessing and Improving Unlearning Robustness in Large Language Models (AAAI 2025 · similarity 0.86)
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