Inverse problem beyond two-body interaction: The cubic mean-field Ising model

In this paper, we solve the inverse problem for the cubic mean-field Ising model. Starting from configuration data generated according to the distribution of the model, we reconstruct the free parameters of the system. We test the robustness of this inversion procedure both in the region of uniqueness of the solutions and in the region where multiple thermodynamics phases are present.

Automated summary

In this paper, we solve the inverse problem of the cubic mean-field Ising model by reconstructing the free parameters of the system from configuration data generated according to the model's distribution. We test the robustness of this inversion procedure in both the region of solution uniqueness and the region with multiple thermodynamic phases.