Before revision:  It takes the form of a Kullback-Leibler divergence and enables data-driven inference of model parameters and Bayesian prediction of time series  .
After revision:  It takes the form of a Kullback-Leibler divergence and enables data-driven inference of model parameters and Bayesian prediction of time series , and calculation of fluctuations beyond mean--field theory. Lastly, we expose a regime with fluctuation--induced transitions between mean--field solutions .