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Disparate Impact on Group Accuracy of Linearization for Private Inference

ICML 2024 · Federated learning and privacy › Privacy attacks and secure learning · approach: Encryption-based private learning · 0 citations (OpenAlex)

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Shows that ReLU linearization for private inference disproportionately hurts accuracy of minority groups, gives a bound-based explanation via gradient norms and decision-boundary distance, and proposes a Lagrangian fairness regularizer during KD finetuning.

Problem

ReLU linearization used to speed up private inference (cryptographic secure inference) can cause uneven accuracy losses across demographic subgroups, particularly underrepresented ones, creating fairness costs that prior evaluations on balanced data missed.

Approach

Identifies a Matthew effect of ReLU linearization on group accuracy, explains it with a Taylor-expansion bound involving group gradient norms and Hessian eigenvalues (linked to distance to decision boundary), and mitigates it by adding group-vs-population loss-gap Lagrangian constraints to the knowledge-distillation finetuning of SNL and DR.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace half of the ReLU activations with linear activationsIllustrative classification task model · Illustrative classification taskglobal accuracy: 99.3% -> 99.0%Hurt
Replace half of the ReLU activations with linear activationsIllustrative classification task model · Illustrative classification task, minority classaccuracy: 93.0% -> 88.0%Hurt
Linearize more ReLU activationsSNL and DR linearized models · Unbalanced datasets, including UTKFace, SVHN, and CIFAR-10group accuracyMixed
Use fairness-regularized fine-tuning instead of standard fine-tuningSNL and DR linearized models · UTKFace age and race groupsgroup accuracyHelped
Vary the mitigation multiplier μ among 0.0005, 0.005, and 0.01 (ablation)SNL mitigation on ResNet18 · UTKFace raceperformance of mitigation strategyNo clear effect

Surprising findings

Limitations

Experimental setup

Datasets: UTKFace SVHN CIFAR-10 CelebA

Benchmarks: UTKFace SVHN CIFAR-10

Metrics: relative test accuracy drop per group global test accuracy gradient norm Hessian max eigenvalue distance to decision boundary

Baselines: SNL DR

Builds on: SNL (selective network linearization) Degree-reduced ReLU linearization (DR) DP-SGD fairness analysis knowledge distillation

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