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arXiv · 2110.06480

Fourier-domain transfer entropy spectrum

Yang Tian·Yaoyuan Wang·Ziyang Zhang·Pei Sun
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Abstract

We propose the Fourier-domain transfer entropy spectrum, a novel generalization of transfer entropy, as a model-free metric of causality. For arbitrary systems, this approach systematically quantifies the causality among their different system components rather than merely analyze systems as entireties. The generated spectrum offers a rich-information representation of time-varying latent causal relations, efficiently dealing with non-stationary processes and high-dimensional conditions. We demonstrate its validity in the aspects of parameter dependence, statistic significance test, and sensibility. An open-source multi-platform implementation of this metric is developed and computationally applied on neuroscience data sets and diffusively coupled logistic oscillators.

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Yang Tian, Yaoyuan Wang, Ziyang Zhang, Pei Sun. 2021-10-13. Fourier-domain transfer entropy spectrum. https://arxiv.org/abs/2110.06480

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