
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.
FOS: Computer and information sciences, Physics, QC1-999, FOS: Physical sciences, Computational Physics (physics.comp-ph), Statistics - Computation, Biological Physics (physics.bio-ph), Physics - Data Analysis, Statistics and Probability, Physics - Biological Physics, Physics - Computational Physics, Data Analysis, Statistics and Probability (physics.data-an), Computation (stat.CO)
FOS: Computer and information sciences, Physics, QC1-999, FOS: Physical sciences, Computational Physics (physics.comp-ph), Statistics - Computation, Biological Physics (physics.bio-ph), Physics - Data Analysis, Statistics and Probability, Physics - Biological Physics, Physics - Computational Physics, Data Analysis, Statistics and Probability (physics.data-an), Computation (stat.CO)
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