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RULER: Representation-Level Verification of Machine Unlearning

Machine unlearning verification typically focuses on output-level metrics, but a model can pass these while still encoding forgotten data in its internal representations. This paper introduces RULER, a set of representation-level verification metrics, including oracle-comparative M2 and oracle-free M4. Experiments show that approximate unlearning methods pass output-level tests but exhibit significant residuals in representation-level analysis.

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Key points

  • Current output-level verification for machine unlearning is insufficient as models may retain forgotten data in intermediate representations.
  • RULER introduces two representation-level metrics: M2 (requires oracle model) and M4 (oracle-free).
  • Multiple approximate unlearning methods fail representation-level verification despite passing output-level evaluations.
  • M4 serves as a pre-unlearning diagnostic for memorization in various domains.

Why it matters

This matters because current output-level verification for machine unlearning is insufficient as models may retain forgotten data in intermediate representations.

Technical impact

May affect model selection, inference cost, product capability, and evaluation benchmarks.

[2605.27569] RULER: Representation-Level Verification of Machine Unlearning

[Submitted on 26 May 2026]

Title:RULER: Representation-Level Verification of Machine Unlearning

View a PDF of the paper titled RULER: Representation-Level Verification of Machine Unlearning, by Georgina Cosma and Axel Finke

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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

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