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Improving Robustness of Deep-Learning-Based Image Reconstruction

ICML 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Decision-boundary geometry of robustness · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train with a learned, measurement-space adversarial perturbation generator in a min-max objectiveDeep CS reconstruction networks · MNIST and CelebA with Gaussian measurement matricesworst-case reconstruction error ρ̂Helped
Train with a learned, measurement-space adversarial perturbation generator in a min-max objectiveDeep CS reconstruction networks · MNIST and CelebA with DCT measurement matricesworst-case reconstruction error ρ̂Helped
Use adversarial min-max training rather than standard trainingDeep CS reconstruction networks · Gaussian measurements, MNIST and CelebA, ε = 0reconstruction lossHelped
Use adversarial min-max training rather than standard trainingDeep CS reconstruction networks · DCT measurements, MNIST and CelebA, ε = 0worst-case reconstruction error ρ̂No clear effect
Use adversarial min-max training rather than standard or Parseval trainingDeep CS reconstruction networks · DCT measurements, MNIST and CelebA, increasing εworst-case reconstruction error ρ̂Helped
Use adversarial min-max training rather than standard or other regularized trainingDeep CS reconstruction networks · Gaussian measurements, MNIST and CelebA, varying εworst-case reconstruction error ρ̂Helped
Replace well-conditioned Gaussian measurements with relatively ill-conditioned DCT measurements (ablation)Deep CS reconstruction networks · MNIST and CelebA, increasing εgap in ρ̂ between adversarial and other training schemesMixed
Use the min-max objective instead of an exact inverseLinear reconstruction with an ill-conditioned measurement matrix · Linear reconstruction, adversarial measurement perturbationssensitivity to adversarial perturbationsHelped
Learn the linear reconstruction with the min-max schemeLinear network · Simulated linear reconstructiondistance to the theoretically derived solution: 0.024; 0.034Helped
Increase measurement perturbation size ε (ablation)Adversarially trained and baseline reconstruction networks · MNIST and CelebA, Gaussian and DCT measurementsrelative robustness advantageMixed
Add a learned generator to produce sample-dependent measurement perturbations instead of using a common perturbationAdversarial training for image reconstruction · Deep CS reconstructionrobustnessHelped

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