Title: Spectrum Optimization of Dynamic Networks for Reduction of Vulnerability Against Adversarial Resonance Attacks Show Chinese title

Title: 动态网络的频谱优化以减少对抗共振攻击的脆弱性

Abstract: Resonance is a well-known phenomenon that happens in systems with second order dynamics. In this paper we address the fundamental question of making a network robust to signal being periodically pumped into it at or near a resonant frequency by an adversarial agent with the aim of saturating the network with the signal. Towards this goal, we develop the notion of network vulnerability, which is measured by the expected resonance amplitude on the network under a stochastically modeled adversarial attack. Assuming a second order dynamics model based on the network graph Laplacian matrix and a known stochastic model for the adversarial attack, we propose two methods for minimizing the network vulnerability through optimization of the spectrum of the network graph. We provide extensive numerical results analyzing the effects of both methods. Show Chinese abstract

Abstract: 共振是一种在二阶动力系统中发生的众所周知的现象。 在本文中，我们解决了一个基本问题，即如何使网络对敌对代理周期性地在其共振频率附近注入信号时具有鲁棒性，目的是使网络饱和于该信号。 为了达到这个目标，我们提出了网络脆弱性的概念，该概念通过在随机建模的敌对攻击下网络上的预期共振振幅来衡量。 假设基于网络图拉普拉斯矩阵的二阶动力学模型和敌对攻击的已知随机模型，我们提出了两种通过优化网络图谱来最小化网络脆弱性的方法。 我们提供了大量的数值结果来分析这两种方法的效果。