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A Certified Unlearning Approach without Access to Source Data

ICML 2025 · Federated learning and privacy › Privacy attacks and secure learning · approach: Encryption-based private learning · 0 citations (OpenAlex)

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Proposes a certified unlearning method that removes forget data using only a surrogate dataset, calibrating Gaussian noise to an estimated statistical (KL-based) distance between surrogate and source distributions.

Problem

Certified machine unlearning when the original training (retain) data is unavailable and only a surrogate dataset with a different distribution can be used.

Approach

Estimate the source Hessian with the surrogate Hessian in a single-step Newton unlearning update, and scale Gaussian noise by a bound that depends on the total variation (approximated via KL divergence using energy-based SGLD samples and Donsker-Varadhan estimation) between surrogate and source distributions.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use surrogate data and calibrate noise according to source-surrogate distribution distanceCertified unlearning · Synthetic and real-world datasetstest accuracyNo clear effect
Use surrogate data and calibrate noise according to source-surrogate distribution distanceCertified unlearning · CIFAR-10, StanfordDogs, and Caltech256MIA accuracyNo clear effect
Apply Unlearn (-) across different forget ratiosStanfordDogs unlearning · StanfordDogs, forget ratios 0.01, 0.1, and 0.2test accuracyNo clear effect
Use the proposed noise instead of the Unlearn (+) noise for Unlearn (-) (ablation)Unlearn (-) · Synthetic datasetsforget scoreHelped
Use the proposed noise instead of the Unlearn (+) noise for Unlearn (-) (ablation)Unlearn (-) · CIFAR-10, StanfordDogs, and Caltech256forget scoreHelped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 StanfordDogs Caltech256 MNIST USPS synthetic Gaussian

Benchmarks: CIFAR-10 StanfordDogs Caltech256 MNIST-USPS synthetic Gaussian

Metrics: train/test/retain/forget accuracy membership inference attack accuracy relearn time forget score

Baselines: Retrain Unlearn (+)

Builds on: certified unlearning Newton update (Sekhari et al.) Gaussian mechanism (differential privacy) Donsker-Varadhan representation implicit energy-based models (JEM) mixed-linear networks

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