Inverse problem robustness for multi-species mean field spin models

TL;DR

This paper investigates the robustness of inverse problem methods in reconstructing parameters of multi-species mean field spin models, demonstrating high precision across various conditions.

Contribution

It introduces an approach to accurately reconstruct parameters in multi-species mean field models and analyzes robustness under different physical and sampling conditions.

Findings

Parameter reconstruction with a few percent accuracy.

Robustness of inversion across system sizes and parameters.

Effective for different species compositions.

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.