A statistical physics approach to learning curves for the Inverse Ising problem

no code implementations • 15 May 2017 • Ludovica Bachschmid-Romano, Manfred Opper

Assuming that the data are generated from a true Ising model, we compute the reconstruction error of the couplings using a combination of the replica method with the cavity approach for densely connected systems.

Variational perturbation and extended Plefka approaches to dynamics on random networks: the case of the kinetic Ising model

no code implementations • 28 Jul 2016 • Ludovica Bachschmid-Romano, Claudia Battistin, Manfred Opper, Yasser Roudi

We first briefly consider the variational approach based on minimizing the Kullback-Leibler divergence between independent trajectories and the real ones and note that this approach only coincides with the mean field equations from the saddle point approximation to the generating functional when the dynamics is defined through a logistic link function, which is the case for the kinetic Ising model with parallel update.