A unifying framework for mean-field theories of asymmetric kinetic Ising systems

Aguilera, Miguel, Moosavi, S Amin and Shimazaki, Hideaki (2021) A unifying framework for mean-field theories of asymmetric kinetic Ising systems. Nature Communications, 12. a1197 1-12. ISSN 2041-1723

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Abstract

Kinetic Ising models are powerful tools for studying the non-equilibrium dynamics of complex systems. As their behavior is not tractable for large networks, many mean-field methods have been proposed for their analysis, each based on unique assumptions about the system’s temporal evolution. This disparity of approaches makes it challenging to systematically advance mean-field methods beyond previous contributions. Here, we propose a unifying framework for mean-field theories of asymmetric kinetic Ising systems from an information geometry perspective. The framework is built on Plefka expansions of a system around a simplified model obtained by an orthogonal projection to a sub-manifold of tractable probability distributions. This view not only unifies previous methods but also allows us to develop novel methods that, in contrast with traditional approaches, preserve the system’s correlations. We show that these new methods can outperform previous ones in predicting and assessing network properties near maximally fluctuating regimes.

Item Type: Article
Schools and Departments: School of Engineering and Informatics > Informatics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 12 Apr 2021 07:16
Last Modified: 13 Apr 2021 06:51
URI: http://sro.sussex.ac.uk/id/eprint/98340

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