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Input-Specific Robustness Certification for Randomized Smoothing

AAAI 2022 · Adversarial robustness and security › Certified and empirical robustness · approach: Randomized smoothing certification · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use input-specific rather than input-agnostic sample sizes at a similar certification timeRandomized smoothing certification · ImageNet (σ=1.0)ACR: 0.917 -> 0.958Helped
Use input-specific rather than input-agnostic sample sizes at a similar certification timeRandomized smoothing certification · ImageNet (σ=0.5)ACR: 0.77 -> 0.794Helped
Use input-specific rather than input-agnostic sample sizes at a similar certification timeRandomized smoothing certification · CIFAR-10 (σ=1.0)ACR: 0.763 -> 0.78Helped
Use input-specific sampling with a 0.10 absolute-decline bound instead of IAS at comparable runtimeRandomized smoothing certification · ImageNet (σ=1.0)ACR: 0.967 -> 1.005Helped
Use relative-decline-constrained input-specific sampling instead of IAS at comparable runtimeRandomized smoothing certification · ImageNet (σ=1.0)ACR: 0.959 -> 0.966Helped
Use relative-decline-constrained input-specific sampling instead of IAS at comparable runtimeRandomized smoothing certification · ImageNet (σ=1.0)ACR: 0.927 -> 0.935Helped
Use absolute-decline-constrained input-specific sample sizes rather than a fixed sample size (ablation)Randomized smoothing certification · ImageNetACRMixed
Use relative-decline constraints instead of absolute-decline constraints (ablation)ISS · ImageNetRadius decline across inputsHelped
Vary p_A while holding the ISS decline type and other settings fixed (ablation)ISS · ISS sample-size mappingRequired sample sizeMixed
Increase the desired maximum sample size (ablation)ISS · ISS sample-size mappingRequired sample sizeHelped
Increase the allowed absolute or relative decline (ablation)ISS · ISS sample-size mappingRequired sample sizeHelped
Set the initial estimation fraction k0/overline{k} too low (ablation)ISS · ImageNet and CIFAR-10RuntimeHurt

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