Influence of time delay on information exchanges between coupled linear stochastic systems
arXiv:1806.09273 · doi:10.1103/PhysRevE.98.032130
Abstract
Time lags are ubiquitous in biophysiological processes and more generally in real-world complex networks. It has been recently proposed to use information-theoretic tools such as transfer entropy to detect and estimate a possible delay in the couplings. In this work, we focus on stationary linear stochastic processes in continuous time and compute the transfer entropy in the presence of delay and correlated noises, using an approximate but numerically effective solution to the relevant Wiener-Hopf factorization problem. Our results rectify and complete the recent study of [1].
22 pages, 8 figures
References in corpus (6)
- Multivariate Granger Causality and Generalized Variance
- Maxwell's demon in biochemical signal transduction with feedback loop
- Second-law-like inequalities with information and their interpretations
- Network Coordination and Synchronization in a Noisy Environment with Time Delays
- Information-theoretic analysis of the directional influence between cellular processes
- Role of sufficient statistics in stochastic thermodynamics and its implication to sensory adaptation