LGCRApr 3, 2023

Is Stochastic Mirror Descent Vulnerable to Adversarial Delay Attacks? A Traffic Assignment Resilience Study

arXiv:2304.01161v116 citationsh-index: 51
Originality Incremental advance
AI Analysis

This provides insights for designing defenses against jamming attacks in transportation systems, but it is incremental as it builds on existing online-learning frameworks.

The paper tackles the vulnerability of Intelligent Navigation Systems to adversarial delay attacks in traffic assignment, showing that bounded feedback delays degrade performance by at most Õ(√(d^3/T)) within the Delayed Mirror Descent framework, allowing systems to achieve Wardrop Non-equilibrium despite disruptions.

\textit{Intelligent Navigation Systems} (INS) are exposed to an increasing number of informational attack vectors, which often intercept through the communication channels between the INS and the transportation network during the data collecting process. To measure the resilience of INS, we use the concept of a Wardrop Non-Equilibrium Solution (WANES), which is characterized by the probabilistic outcome of learning within a bounded number of interactions. By using concentration arguments, we have discovered that any bounded feedback delaying attack only degrades the systematic performance up to order $\tilde{\mathcal{O}}(\sqrt{{d^3}{T^{-1}}})$ along the traffic flow trajectory within the Delayed Mirror Descent (DMD) online-learning framework. This degradation in performance can occur with only mild assumptions imposed. Our result implies that learning-based INS infrastructures can achieve Wardrop Non-equilibrium even when experiencing a certain period of disruption in the information structure. These findings provide valuable insights for designing defense mechanisms against possible jamming attacks across different layers of the transportation ecosystem.

Foundations

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