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NoT: Federated Unlearning via Weight Negation

CVPR 2025 · Federated learning and privacy › Privacy attacks and secure learning · approach: Private federated aggregation · 12 citations (OpenAlex)

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Proposes NoT, a federated unlearning method that negates (multiplies by -1) the first layer's weights of the converged global model and then fine-tunes on retained data, with no extra storage or access to forget data.

Problem

Federated unlearning must remove a client's data contributions from a trained FL model without retraining from scratch, without auxiliary storage, and without access to the data to be forgotten.

Approach

Perturb the converged global model by negating weights of selected layers (mainly the first layer) to break inter-layer co-adaptation and raise loss, then fine-tune on retained data; a theoretical framework argues this perturbation is strong (C1) and layer-wise optimality preserving (C2) so recovery is fast.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use weight negation followed by fine-tuning instead of the strongest baselineNoT · CIFAR-10, CNN, client-wise IIDAvg. Gap: 0.81 -> 0.29Helped
Use weight negation followed by fine-tuning instead of the strongest baselineNoT · CIFAR-100, CNN, client-wise IIDAvg. GapHelped
Use weight negation followed by fine-tuning instead of the strongest baselineNoT · CIFAR-10, ResNet-18, client-wise IIDAvg. Gap: 0.84 -> 1.78Hurt
Use weight negation followed by fine-tuning instead of the strongest baselineNoT · CIFAR-100, ResNet-18, client-wise IIDAvg. Gap: 2.51 -> 4.73Hurt
Use weight negation followed by fine-tuning instead of the strongest baselineNoT · Caltech-101, ViT-B/16, client-wise IIDAvg. Gap: 1.60 -> 0.79Helped
Use weight negation followed by fine-tuning rather than retrainingNoT · Caltech-101, ViT-B/16, client-wise IIDCommunication cost: 1.76e12 -> 8.08e11Helped
Negate the convolution projection layer (ablation)NoT on ViT-B/16 · Caltech-101Avg. GapHelped
Negate the positional embedding layer (ablation)NoT on ViT-B/16 · Caltech-101Avg. GapMixed
Negate the first self-attention head's query weights (ablation)NoT on ViT-B/16 · Caltech-101Avg. GapHelped
Negate the second self-attention head's query weights (ablation)NoT on ViT-B/16 · Caltech-101Avg. GapHurt
Replace weight negation with random initialization (ablation)NoT on the ViT convolution projection layer · Caltech-101Avg. GapHurt
Replace weight negation with added white noise (ablation)NoT on the ViT convolution projection layer · Caltech-101Avg. GapHurt

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 CIFAR-100 Caltech-101

Benchmarks: CIFAR-10 CIFAR-100 Caltech-101

Metrics: retain accuracy forget accuracy test accuracy MIA communication cost computation cost average gap

Baselines: Retrain FT FedEraser FUKD PGD MoDE FCU RandL GA BadT l1-sparse SSD

Builds on: FedAvg SSD SalUn l1-sparse unlearning FedEraser

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