Information Flow in a Model of Policy Diffusion: An Analytical Study
Information Flow in a Model of Policy Diffusion: An Analytical Study
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政策扩散模型中的信息流：一项分析研究
DOI：
10.1109/tnse.2017.2731212
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发表时间：
2018
影响因子：
6.6
通讯作者：
M. R. Marín
中科院分区：
文献类型：
--
作者：
M. Porfiri;M. R. Marín
网络在科学和工程中无处不在，但我们很少精确地知道它们的拓扑结构。信息论的转移熵概念最近被提出作为一种有力的手段来揭示复杂系统的集体动力学的连接模式。通过对网络中单元的时间序列进行成对比较，传递熵有望确定单元是否连通。尽管取得了相当大的进展，我们的理解转移熵为基础的网络重建在很大程度上依赖于计算机模拟，这妨碍了精确和系统的评估方法的准确性。在本文中，我们提出了一个分析研究的信息流的网络模型的政策扩散，从而建立封闭形式的表达式之间的任何一对节点的传递熵。该模型由一个有限状态遍历马尔可夫链，我们计算的联合概率分布的平稳极限。我们的分析结果提供了一个令人信服的证据，转移熵的潜力，以协助在网络重建的过程中，澄清的作用和程度的站得住脚的混淆与虚假的连接节点之间。
Networks are pervasive across science and engineering, but seldom do we precisely know their topology. The information-theoretic notion of transfer entropy has been recently proposed as a potent means to unveil connectivity patterns underlying collective dynamics of complex systems. By pairwise comparing time series of units in the network, transfer entropy promises to determine whether the units are connected or not. Despite considerable progress, our understanding of transfer entropy-based network reconstruction largely relies on computer simulations, which hamper the precise and systematic assessment of the accuracy of the approach. In this paper, we present an analytical study of the information flow in a network model of policy diffusion, thereby establishing closed-form expressions for the transfer entropy between any pair of nodes. The model consists of a finite-state ergodic Markov chain, for which we compute the joint probability distribution in the stationary limit. Our analytical results offer a compelling evidence for the potential of transfer entropy to assist in the process of network reconstruction, clarifying the role and extent of tenable confounds associated with spurious connections between nodes.
影响因子：
16.2
作者：
Grienberger, Christine;Konnerth, Arthur
通讯作者：
Konnerth, Arthur
影响因子：
8.6
作者：
Barnett, Lionel;Lizier, Joseph T.;Bossomaier, Terry
通讯作者：
Bossomaier, Terry
影响因子：
2.7
作者：
Hlinka, Jaroslav;Hartman, David;Palus, Milan
通讯作者：
Palus, Milan