\textit{When an adversary gets access to the data sample in the adversarial robustness models and can make data-dependent changes, how has the decision maker consequently, relying deeply upon the adversarially-modified data, to make statistical inference? How can the resilience and elasticity of the network be literally justified $-$ if there exists a tool to measure the aforementioned elasticity?} The principle of byzantine resilience distributed hypothesis testing (BRDHT) is considered in this paper for cognitive radio networks (CRNs) $-$ without-loss-of-generality, something that can be extended to any type of homogeneous or heterogeneous networks $-$ while the byzantine primary user (PU) has a signal-to-noise-ratio (SNR) including the coefficient of $\frac{d\ell \big ( \theta | \mathscr{s}_0 \big )}{d\ell \big ( \theta \big )} $ which is in relation to the temporal rate of the $\alpha-$leakage as the appropriate tool to measure the aforementioned resilience. Our novel online algorithm $-$ which is named $\mathbb{OBRDHT}$ $-$ and solution are both unique and generic over which an evaluation is finally performed by simulations $-$ e.g. an evaluation of the total error as the false alarm probability in addition to the miss detection probability versus the sensing time.
翻译:\ textit{ 当对手获得对抗性稳健性模型的数据样本并能够进行不损及数据的模拟修改时, 决策人如何因此能够深入依赖对抗性修改后的数据进行统计推断? 如果存在测量上述弹性的工具, 网络的恢复力和弹性如何在字面上证明美元的合理性?} 本文中考虑的认知无线电网络( CRNs) $- 美元分布式假设测试(BRDHT) 原则(BRDHT) 和不失真性( CRNs) 原则, 某些可以扩展至任何类型的单一或混杂性网络 $- 美元, 而 旁占主要用户( PU) 拥有信号到噪音- ratio (SNRR), 包括 $\ frafc{d\ ell\ \ \ big (\ mathr) = big) (BRDH- g) 的准确性评估 美元。