Limits on reconstruction of dynamics in networks
Limits on reconstruction of dynamics in networks
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DOI：
10.1103/physreve.98.022318
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发表时间：
2018-08-28
影响因子：
2.4
通讯作者：
Sauer, Timothy
中科院分区：
文献类型：
--
作者：
Guan, Jiajing;Berry, Tyrus;Sauer, Timothy
对用网络动力学建模的物理系统定义了一个可观测性条件数。假设网络的动力学方程是已知的，并且在节点的子集处观察到噪声轨迹，我们计算到最近的正确轨迹的期望距离作为观察噪声水平的函数，并讨论它如何在网络的未观察节点上变化。当条件数足够大时，从子集的观测值重建轨迹将是不可行的。这种知识可以用来选择一个最佳子集，从其中观察网络。
An observability condition number is defined for physical systems modeled by network dynamics. Assuming that the dynamical equations of the network are known and a noisy trajectory is observed at a subset of the nodes, we calculate the expected distance to the nearest correct trajectory as a function of the observation noise level and discuss how it varies over the unobserved nodes of the network. When the condition number is sufficiently large, reconstructing the trajectory from observations from the subset will be infeasible. This knowledge can be used to choose an optimal subset from which to observe a network.