Multiscale Information Decomposition: Exact Computation for Multivariate Gaussian Processes

Daniele Marinazzo, Sebastiano Stramaglia, Luca Faes

Publication date: 21 June 2017

Abstract: Exploiting the theory of state space models, we derive the exact expressions of the information transfer, as well as redundant and synergistic transfer, for coupled Gaussian processes observed at multiple temporal scales. All of the terms, constituting the frameworks known as interaction information decomposition and partial information decomposition, can thus be analytically obtained for different time scales from the parameters of the VAR model that fits the processes. We report the application of the proposed methodology firstly to benchmark Gaussian systems, showing that this class of systems may generate patterns of information decomposition characterized by mainly redundant or synergistic information transfer persisting across multiple time scales or even by the alternating prevalence of redundant and synergistic source interaction depending on the time scale. Then, we apply our method to an important topic in neuroscience, i.e., the detection of causal interactions in human epilepsy networks, for which we show the relevance of partial information decomposition to the detection of multiscale information transfer spreading from the seizure onset zone.

Has companion code repository: https://github.com/danielemarinazzo/multiscale_PID

This page was built for publication: Multiscale Information Decomposition: Exact Computation for Multivariate Gaussian Processes

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6288157)