论文标题
网络上扩散过程之间差异的量度
A measure of dissimilarity between diffusive processes on networks
论文作者
论文摘要
在本文中，我们提出了一个框架，以比较两个随机步行过程的职业概率差异，这可以通过网络的修改或同一网络节点之间的过渡概率生成。我们探讨了根据每个过程的归一化拉普拉斯人的特征值和特征向量定义的差异度量。这种形式主义的实施是为了检查循环矩阵描述的扩散动力学的差异，新边缘的效果以及网络中的重新布线，以及评估在程度偏见的随机步行和随机随机步行中的传输中的分歧。我们的结果提供了一个通用工具，可以比较考虑状态演变并捕获这些结构的复杂性的网络上的动态过程。
In this paper, we present a framework to compare the differences in the occupation probabilities of two random walk processes, which can be generated by modifications of the network or the transition probabilities between the nodes of the same network. We explore a dissimilarity measure defined in terms of the eigenvalues and eigenvectors of the normalized Laplacian of each process. This formalism is implemented to examine differences in the diffusive dynamics described by circulant matrices, the effect of new edges, and the rewiring in networks as well as to evaluate divergences in the transport in degree-biased random walks and random walks with stochastic reset. Our results provide a general tool to compare dynamical processes on networks considering the evolution of states and capturing the complexity of these structures.
