Inverse problem robustness for multi-species mean field spin models

Abstract

The inverse problem method is tested for a class of mean field statistical mechanics models representing a mixture of particles of different species. The robustness of the inversion is investigated for different values of the physical parameters, system sizes and independent samples. We show how to reconstruct the parameter values with a precision of a few percentages.

24 pages, 7 figures

References in corpus (4)

• Statistical mechanics for natural flocks of birds
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• Small-correlation expansions for the inverse Ising problem
• A mean field model for the collective behaviour of interacting multi-species particles. Mathematical results and application to the inverse problem

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