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A Statistical Approach to Assessing Neural Network Robustness

ICLR 2019 · Probabilistic and scientific modeling › Molecules and proteins · approach: Sparse concepts and hypothesis testing · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use adaptive multi-level splitting instead of naive Monte CarloRobustness estimation · CollisionDetection sat propertiesrare sat properties without a found counterexample: 8 sat properties missed by naive MC; AMLS found a counterexample for all the sat propertiesHelped
Use adaptive multi-level splitting instead of naive Monte CarloRobustness estimation · CollisionDetection unsat propertiescorrectly identified unsat propertiesNo clear effect
Increase the number of MH transitions M (ablation)AMLS · CollisionDetection sat propertiesestimate qualityHelped
Increase the sample count N (ablation)AMLS · CollisionDetection sat propertiesestimate qualityHelped
Vary N from 10^3 to 10^5 (ablation)AMLS · CollisionDetection sat propertiesestimate: N=10^3, 10^4, 10^5No clear effect
Increase the quantile parameter rho (ablation)AMLS · CollisionDetection sat propertiesestimation biasHurt
Set rho to 0.1 (ablation)AMLS · CollisionDetection sat propertiesbias-variance trade-off: rho=0.1Helped
Vary rho among 0.1, 0.25, and 0.5 (ablation)AMLS · CollisionDetection rarer eventsestimated violation probability: rho∈{0.1,0.25,0.5}Mixed
Increase M when rho=0.1 (ablation)AMLS · CollisionDetection sat propertiesestimateNo clear effect
Increase M for larger rho values (ablation)AMLS · CollisionDetection sat propertiesestimate quality: rho=0.25; rho=0.5Helped
Increase M to 250 or 1000 (ablation)AMLS · MNIST adversarial propertiesestimate accuracy: M=250; M=1000Helped
Use larger M (ablation)AMLS · CIFAR-10 adversarial propertiesestimate accuracy: M∈{100,250,500,1000,2000}Helped

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