Paper Overview
Field: Machine Learning Authors: Georgina Cosma, Axel Finke Published: 2026-05-28 arXiv: 2605.27569
Summary
Machine unlearning aims to remove the influence of specific training records from a deployed model without retraining from scratch. Current verification protocols check this at the output level via membership inference, retain accuracy, and forget-set accuracy—but a model can satisfy all three metrics while still encoding forgotten records in its intermediate representations.
RULER introduces a set of representation-level verification metrics:
- M2 (oracle-comparative): measures whether forget-set records occupy the same representational position as in a model retrained without them.
- M4 (oracle-free): detects residuals from the unlearned model's internal similarity structure alone, without any retraining.
- Four approximate unlearning methods all pass output-level evaluation.
- Under a linear mixed-effects model, M2 detects significant residuals in 10 of 12 conditions (p<0.05), with effect sizes growing as the forget proportion increases.
- M4 serves as a pre-unlearning diagnostic across tabular data, images, clinical text, and face recognition, detecting identity-level memorization signals that no existing method fully erases.
Findings
Original Abstract
> Machine unlearning aims to remove the influence of specific training records from a deployed model without retraining from scratch. Current protocols verify this at the output level through membership inference, retain accuracy, and forget-set accuracy, but a model can satisfy all three whilst still encoding forgotten records in its intermediate representations. We introduce RULER, a set of representation-level verification metrics. The oracle-comparative metric M2 measures whether forget-set records occupy the same representational position as in a model retrained without them. The oracle-free metric M4 detects residuals from the unlearned model's internal similarity structure alone, without retraining. Four approximate unlearning methods all pass output-level evaluation, yet under a linear mixed-effects model M2 detects significant residuals in 10 of 12 conditions (p<0.05), with effect...
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