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Adversarial Machine Unlearning

ICLR 2025 · Adversarial robustness and security › Attacks on text and graphs · approach: Membership inference and inversion · 1 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add adversarial MIA modeling to unlearning (ablation)SG-Unlearn · CIFAR-10 random forgettingtest accuracyHelped
Add adversarial MIA modeling to unlearning (ablation)SG-Unlearn · CIFAR-100 random forgettingMIA accuracyHelped
Add adversarial MIA modeling to unlearning (ablation)SG-Unlearn · CIFAR-100 random forgettingWasserstein distanceHelped
Add adversarial MIA modeling to unlearning (ablation)SG-Unlearn · Random forgetting on CIFAR-10 and CIFAR-100test accuracyMixed
Use class-wise rather than random forgettingSG-Unlearn · CIFAR-10 and SVHNMIA accuracyHurt

Surprising findings

Limitations

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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