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Democratic Training Against Universal Adversarial Perturbations

ICLR 2025 · Adversarial robustness and security › Certified and empirical robustness · approach: Adversarial training refinements · 1 citations (OpenAlex)

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Proposes Democratic Training, an entropy-guided adversarial fine-tuning defense that repairs CNNs against targeted universal adversarial perturbations by training on PGD-generated low-entropy samples from a small clean subset.

Problem

Neural networks are vulnerable to universal adversarial perturbations (UAPs), input-agnostic perturbations that fool a model on many clean inputs; existing defenses need many pre-computed UAPs or architecture changes.

Approach

Observes that targeted UAPs drop layer-wise activation entropy in deep layers (features dominated by few units), and fine-tunes the model on low-entropy samples generated from clean inputs via PGD on a layer-wise entropy loss, without generating UAPs or changing architecture.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply Democratic Training to the original modelsNN_1–NN_7 · Targeted UAPs, average across models and targetsSR: 0.794 -> 0.028Helped
Apply Democratic Training to the original modelsNN_1–NN_7 · Targeted UAPs, average across models and targetsAAcc.: 0.126 -> 0.693Helped
Apply Democratic TrainingNN_1–NN_7 · Clean inputs, average across modelsclean accuracy change: -0.02Hurt
Apply Democratic TrainingNN_1–NN_6 · sPGD UAPsSR: 0.497 -> 0.009Helped
Apply Democratic TrainingNN_1–NN_6 · LaVAN UAPsSR: 0.601 -> 0.014Helped
Apply Democratic TrainingNN_1–NN_6 · GAP UAPsSR: 0.632 -> 0.025Helped
Apply Democratic TrainingNN_1–NN_6 · SGA UAPsSR: 0.790 -> 0.029Helped
Use Democratic Training instead of targeted adversarial trainingthe evaluated models · Targeted UAPsSR: 0.167 -> <3%Helped
Use Democratic Training instead of non-targeted adversarial trainingthe evaluated models · Targeted UAPsSR: 0.455 -> <3%Helped
Increase UAP perturbation budget from ε=10/255 to ε=15/255Democratic Training-repaired NN_1 · Targeted UAPsSR: 0.002 -> 0.115Hurt
Apply Democratic TrainingNN_1–NN_6 · Non-targeted UAPsSR: 0.907 -> 0.300Helped

Surprising findings

Limitations

Experimental setup

Datasets: ImageNet ASL Alphabet Caltech101 EuroSAT CIFAR-10

Benchmarks: ImageNet ASL Alphabet Caltech101 EuroSAT CIFAR-10

Metrics: attack success rate adversarial accuracy clean accuracy change execution time

Baselines: PGD adversarial training (targeted) PGD adversarial training (non-targeted) finetuning with known UAP TRADES SFR CFN FNS DensePure

Builds on: DF-UAP PGD adversarial training TRADES selective feature regeneration

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