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A Reliable Cryptographic Framework for Empirical Machine Unlearning Evaluation
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Proposes a cryptographic-game framework (unlearning sample inference game) that defines an advantage-based Unlearning Quality metric for MIA-based unlearning evaluation, plus a two-split SWAP test approximation, validated on CIFAR-10 ResNet.
Problem
MIA-based evaluation of machine unlearning is unreliable: MIA accuracy/AUC is not calibrated, retraining is not guaranteed to score best, and results depend on the MIA and data composition.
Approach
Model unlearning evaluation as a cryptographic indistinguishability game between the unlearning challenger and an MIA adversary, measuring advantage averaged over all forget/test splits so that retraining has zero advantage by symmetry; approximate this with a SWAP test that uses a split and its forget-test swap.
Key results
- Retrain achieves Unlearning Quality of about 0.993-0.999 across dataset sizes, consistent with zero grounding.
- Under DP budgets, Unlearning Quality decreases as epsilon grows (e.g., None: 0.972 at eps=50 vs 0.587 at eps=infinity), matching the certified-removal bound trend, whereas IC score and MIA AUC are not monotone.
- SSD gives the highest Unlearning Quality among evaluated methods (0.975 at dataset size 0.1, 0.928 at 1.0).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Increase DP epsilon from 50 to ∞ | Unlearning Quality evaluation of unlearning methods · CIFAR10 | Unlearning Quality: 0.972 -> 0.587 | Hurt |
| Increase DP epsilon from 50 to ∞ | Unlearning Quality evaluation of unlearning methods · CIFAR10 | Unlearning Quality: 0.980 -> 0.628 | Hurt |
| Increase DP epsilon from 50 to ∞ | Unlearning Quality evaluation of unlearning methods · CIFAR10 | Unlearning Quality: 0.996 -> 0.888 | Hurt |
| Increase DP epsilon from 50 to ∞ | Retrain from scratch · CIFAR10 | Unlearning Quality: 0.998 -> 0.993 | No clear effect |
| Use selective synaptic dampening instead of the other evaluated approximate unlearning methods | ResNet · CIFAR10, DP epsilon=∞ | Unlearning Quality: 0.888† vs 0.709† | Helped |
| Vary dataset size from 0.1 to 1.0 (ablation) | Unlearning Quality evaluation · CIFAR10, alpha=0.1 | Unlearning Quality | No clear effect |
| Vary the unlearning portion alpha across 0.1, 0.25, 0.4, and 0.67 (ablation) | Unlearning Quality evaluation · CIFAR10 | Unlearning Quality | No clear effect |
Surprising findings
- The IC test and MIA AUC fail to give negatively correlated, consistent rankings with the DP budget, unlike the proposed metric.
- Even the no-unlearning baseline at epsilon=infinity has relatively high Unlearning Quality (0.587), attributed to weak current MIAs.
Limitations
- Exact metric requires enumerating all dataset splits, which is computationally infeasible; SWAP test and weak-adversary approximations are needed.
- Supremum over adversaries is only approximated using current weak black-box MIAs, so the metric may be loose (e.g., None still scores 0.587).
- Lower-bound validation is limited to DP-trained models since certified removal algorithms are not known beyond convex models.
Experimental setup
Datasets: CIFAR-10
Benchmarks: CIFAR-10
Metrics: Unlearning Quality advantage MIA AUC IC score MIA score
Baselines: Retrain Fisher forgetting fine-tuning final layer retrain final layer negative gradient SalUN SSD MIA AUC Interclass Confusion test
Builds on: certified removal shadow model membership inference Interclass Confusion test selective synaptic dampening
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