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Interpreting the Ising Model: The Input Matters

2020/03/12 by Jonas M. B. Haslbeck, Jonas M B Haslbeck, Sacha Epskamp +3 · 1 citation
Psychology · Physics and Astronomy · Neuroscience · #Mental Health Research Topics #Complex Network Analysis Techniques #Functional Brain Connectivity Studies

paper · pdf · doi:10.1080/00273171.2020.1730150

Abstract

While it is possible to transform the parameters of the Ising model in one domain to obtain a statistically equivalent model in the other domain, the parameters in the two versions of the Ising model lend themselves to different interpretations and imply different dynamics, when studying the Ising model as a dynamical system. In this tutorial paper, we provide an accessible discussion of the interpretation of threshold and interaction parameters in the two domains and show how the dynamics of the Ising model depends on the choice of domain. Finally, we provide a transformation that allows one to transform the parameters in an Ising model in one domain into a statistically equivalent Ising model in the other domain.

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