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Research map / Probabilistic and scientific modeling / Dynamical systems

Reachability Analysis of Neural Network Control Systems

AAAI 2023 · Probabilistic and scientific modeling › Dynamical systems · approach: Stable contractive dynamics · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DeepNNC instead of SearchNNCS reachability analysis · B1, B2, B5, and B6 area comparisonsreachable-set area: 7.7685 vs 0.303; 12 vs 5.7261; 3.4762 vs 1.7139; 3.4254 vs 1.2747; 6.2444 vs 3.5401; 6.6674 vs 3.636Mixed
Increase the maximum iteration count (ablation)DeepNNC · B3 ReLUreachable-set tightnessHelped
Decrease epsilon (ablation)DeepNNC · B3 ReLUreachable-set accuracyHelped
Use local Lipschitz constants rather than only a global estimateDeepNNC Lipschitzian optimisation · NNCS reachability analysisconvergence speedHelped
Use DeepNNC instead of ReachNN*NNCS reachability analysis · Six benchmarks, averaged across controllersspeed: 768 times fasterHelped
Use DeepNNC instead of SherlockNNCS reachability analysis · Six benchmarks, averaged across controllersspeed: 37 times fasterHelped
Use DeepNNC instead of Verisig 2.0NNCS reachability analysis · Six benchmarks, averaged across controllersspeed: 56 times fasterHelped

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