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2026-02-17· DI-ENSdata

Certified Per-Instance Unlearning Using Individual Sensitivity Bounds

Hanna Benarroch, Jamal Atif, Olivier Cappé

Key claim

Adaptive noise calibration enables efficient certified unlearning.

This work presents a new method for certified machine unlearning that uses adaptive noise calibration based on individual data point contributions. The key result is that this approach allows for certified unlearning with significantly less noise injection compared to traditional methods, improving practical applicability. The findings are supported by both theoretical analysis and experimental results.

Novelty
8.0/10

The paper introduces a novel adaptive noise calibration method for certified unlearning.

Reliability
7.0/10

The methodology is solid, with theoretical bounds and empirical validation.

Deep reliability assessment

The methodology supports certified per-instance unlearning with reduced noise injection tailored to individual data points, but it may overclaim generalizability to all machine learning models without further validation. The results are primarily demonstrated in the context of ridge regression and may not extend to more complex models without additional work.

Reproducibility

No, the paper does not provide open source code or a dataset.

Discussion questions

  1. What assumptions about the distribution of data points influence the effectiveness of per-instance unlearning?
  2. How can builders implement this methodology in real-world applications while ensuring compliance with privacy regulations?
  3. What specific conditions or datasets would lead to a failure of the proposed unlearning guarantees?

Key figure

Figure 1 illustrates the comparison of the learning and unlearning trajectories in the proposed method versus a theoretical retraining path.

Read on arXiv →
Certified Per-Instance Unlearning Using Individual Sensitivity Bounds — Frontier Papers