Interactions of information transfer along separable causal paths

Physical Review. E
Peishi Jiang, Praveen Kumar

Abstract

Complex systems arise as a result of interdependences between multiple variables, whose causal interactions can be visualized in a time-series graph. Transfer entropy and information partitioning approaches have been used to characterize such dependences. However, these approaches capture net information transfer occurring through a multitude of pathways involved in the interaction and as a result mask our ability to discern the causal interaction within a subgraph of interest through specific pathways. We build on recent developments of momentary information transfer along causal paths proposed by Runge [Phys. Rev. E 92, 062829 (2015)PLEEE81539-375510.1103/PhysRevE.92.062829] to develop a framework for quantifying information partitioning along separable causal paths. Momentary information transfer along causal paths captures the amount of information transfer between any two variables lagged at two specific points in time. Our approach expands this concept to characterize the causal interaction in terms of synergistic, unique, and redundant information transfer through separable causal paths. Through a graphical model, we analyze the impact of the separable and nonseparable causal paths and the causality structure embedded in...Continue Reading

References

Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bernd Pompe, Jakob Runge
Sep 26, 2012·Physical Review Letters·Jakob RungeJürgen Kurths
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jakob RungeJürgen Kurths
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Malte HarderDaniel Polani
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G ParedesM G Cosenza
Jul 6, 2014·Physical Review Letters·J AguirreJ M Buldú
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adam B Barrett
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jakob Runge

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Citations

Feb 20, 2019·Physical Review. E·Peishi Jiang, Praveen Kumar
Dec 9, 2020·Entropy·Peishi Jiang, Praveen Kumar

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