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Adversarial Machine Unlearning
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Frames machine unlearning as a Stackelberg game between an unlearner and an MIA-based auditor, and solves it with gradient-based unlearning that differentiates through the auditor's linear-SVM attack via implicit differentiation (SG-Unlearn).
Problem
Machine unlearning needs a reliable way to verify that a forget set's influence has been removed, and existing unlearning methods are developed separately from membership inference attacks (MIAs) that could measure residual influence.
Approach
Model unlearning as a Stackelberg game where the unlearner minimizes retain loss plus the auditor's best-response MIA utility; differentiate through the auditor's convex SVM optimization via KKT conditions and implicit function theorem (cvxpylayers) so MIA gradients guide unlearning.
Key results
- On CIFAR-10 random forgetting, SG reduces KS statistic to 0.0482 versus retrain 0.0255 and lowers |Acc_f - Acc_te| to 0.0411 (best among methods), at a test accuracy cost (0.8940 vs 0.9291 for retrain).
- On CIFAR-100 random forgetting, SG achieves MIA accuracy 0.5412 and KS 0.0988 but retain accuracy drops to 0.8993 versus 0.9996 for retrain.
- On class-wise CIFAR-10 forgetting, no method performs well on MIA metrics; SG achieves 0.9814 MIA accuracy versus 0.9935 for retrain, showing the auditor easily distinguishes class-wise forgotten data.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add adversarial MIA modeling to unlearning (ablation) | SG-Unlearn · CIFAR-10 random forgetting | test accuracy | Helped |
| Add adversarial MIA modeling to unlearning (ablation) | SG-Unlearn · CIFAR-100 random forgetting | MIA accuracy | Helped |
| Add adversarial MIA modeling to unlearning (ablation) | SG-Unlearn · CIFAR-100 random forgetting | Wasserstein distance | Helped |
| Add adversarial MIA modeling to unlearning (ablation) | SG-Unlearn · Random forgetting on CIFAR-10 and CIFAR-100 | test accuracy | Mixed |
| Use class-wise rather than random forgetting | SG-Unlearn · CIFAR-10 and SVHN | MIA accuracy | Hurt |
Surprising findings
- Class-wise forgetting leaves all methods, including retraining, highly distinguishable by MIA, indicating MIA-based evaluation is poor for class-level unlearning.
- The adversarial term acts as a regularizer that improves test accuracy of the unlearned model relative to the non-adversarial ablation (SG-0).
Limitations
- Gradient through the auditor's problem requires O(n^3) matrix inversion, limiting scalability.
- Only tested with Fine-Tune as unlearner and a linear SVM attacker; neural-network-based MIAs are not supported.
- SG loses test accuracy on CIFAR-100 (0.6378 vs 0.7035 for retrain) and retain accuracy drops substantially.
Experimental setup
Datasets: CIFAR-10 CIFAR-100 SVHN
Benchmarks: CIFAR-10 CIFAR-100 SVHN
Metrics: retain accuracy test accuracy forget accuracy MIA accuracy MIA AUC MIA F1 KS statistic Wasserstein distance RTE
Baselines: Retrain Fine-Tune Gradient Ascent Influence Unlearning l1-sparse Random Label Boundary Expansion Boundary Shrink SCRUB
Builds on: fine-tuning unlearning membership inference attacks implicit function theorem cvxpylayers
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