Large-Deviation Approach to Random Recurrent Neuronal Networks: Parameter Inference and Fluctuation-Induced Transitions

Physical Review Letters, vol. 127, pp. 158302

Abstract

We here unify the field-theoretical approach to neuronal networks with large deviations theory. For a prototypical random recurrent network model with continuous-valued units, we show that the effective action is identical to the rate function and derive the latter using field theory. This rate function takes the form of a Kullback-Leibler divergence which enables data-driven inference of model parameters and calculation of fluctuations beyond mean-field theory. Lastly, we expose a regime with fluctuation-induced transitions between mean-field solutions.

Authors 3

1. Alexander van Meegen

   Forschungszentrum Jülich · University of Cologne · Jülich Aachen Research Alliance

   Affiliation as printed

   Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA-Institute Brain Structure-Function Relationships (INM-10), Jülich Research Centre, 52428 Jülich, Germany

   Institute of Zoology, University of Cologne, 50674 Cologne, Germany

2. Tobias Kühn Aachen Department of Physics Faculty 1

   RWTH Aachen University · Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · École Normale Supérieure - PSL · Sorbonne Université · Forschungszentrum Jülich · Jülich Aachen Research Alliance · Laboratoire de Physique de l'Ecole Normale Supérieure

   Affiliation as printed

   Department of Physics, Faculty 1, RWTH Aachen University, 52074 Aachen, Germany

   Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA-Institute Brain Structure-Function Relationships (INM-10), Jülich Research Centre, 52428 Jülich, Germany

   Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris, F-75005 Paris, France

3. Moritz Helias Aachen Department of Physics Faculty 1

   RWTH Aachen University · Forschungszentrum Jülich · Jülich Aachen Research Alliance

   Affiliation as printed

   Department of Physics, Faculty 1, RWTH Aachen University, 52074 Aachen, Germany

   Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA-Institute Brain Structure-Function Relationships (INM-10), Jülich Research Centre, 52428 Jülich, Germany