The authors derive network- and delay-dependent bounds on entropic value-at-risk for inter-vehicle collisions by expressing distance covariances via Laplacian eigenvalues of the platoon communication graph.
For any random variableX, lnE P[eX] = sup Q≪P {EQ[X]−D KL(Q∥P)}, whereD KL(·∥·)denotes the Kullback–Leibler divergence
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Entropic Value-at-Risk for Inter-Vehicle Collision in Platoons: Network- and Delay-Induced Bounds on Risk Due to Extreme Events
The authors derive network- and delay-dependent bounds on entropic value-at-risk for inter-vehicle collisions by expressing distance covariances via Laplacian eigenvalues of the platoon communication graph.