Research map / Adversarial robustness and security / Certified and empirical robustness
Improving Robustness of Deep-Learning-Based Image Reconstruction
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Train with a learned, measurement-space adversarial perturbation generator in a min-max objective | Deep CS reconstruction networks · MNIST and CelebA with Gaussian measurement matrices | worst-case reconstruction error ρ̂ | Helped |
| Train with a learned, measurement-space adversarial perturbation generator in a min-max objective | Deep CS reconstruction networks · MNIST and CelebA with DCT measurement matrices | worst-case reconstruction error ρ̂ | Helped |
| Use adversarial min-max training rather than standard training | Deep CS reconstruction networks · Gaussian measurements, MNIST and CelebA, ε = 0 | reconstruction loss | Helped |
| Use adversarial min-max training rather than standard training | Deep CS reconstruction networks · DCT measurements, MNIST and CelebA, ε = 0 | worst-case reconstruction error ρ̂ | No clear effect |
| Use adversarial min-max training rather than standard or Parseval training | Deep CS reconstruction networks · DCT measurements, MNIST and CelebA, increasing ε | worst-case reconstruction error ρ̂ | Helped |
| Use adversarial min-max training rather than standard or other regularized training | Deep CS reconstruction networks · Gaussian measurements, MNIST and CelebA, varying ε | worst-case reconstruction error ρ̂ | Helped |
| Replace well-conditioned Gaussian measurements with relatively ill-conditioned DCT measurements (ablation) | Deep CS reconstruction networks · MNIST and CelebA, increasing ε | gap in ρ̂ between adversarial and other training schemes | Mixed |
| Use the min-max objective instead of an exact inverse | Linear reconstruction with an ill-conditioned measurement matrix · Linear reconstruction, adversarial measurement perturbations | sensitivity to adversarial perturbations | Helped |
| Learn the linear reconstruction with the min-max scheme | Linear network · Simulated linear reconstruction | distance to the theoretically derived solution: 0.024; 0.034 | Helped |
| Increase measurement perturbation size ε (ablation) | Adversarially trained and baseline reconstruction networks · MNIST and CelebA, Gaussian and DCT measurements | relative robustness advantage | Mixed |
| Add a learned generator to produce sample-dependent measurement perturbations instead of using a common perturbation | Adversarial training for image reconstruction · Deep CS reconstruction | robustness | Helped |
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