Linear response in neuronal networks: From neurons dynamics to collective response

Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains

(2018) Marcus Kaiser et al.   JOURNAL OF STATISTICAL PHYSICS

Modeling the Correlated Activity of Neural Populations: A Review

(2018) Christophe Gardella et al.   NEURAL COMPUTATION

Functional connectivity dynamically evolves on multiple time-scales over a static structural connectome: Models and mechanisms

(2017) Joana Cabral et al.   NEUROIMAGE

Asymptotic Description of Neural Networks with Correlated Synaptic Weights

(2015) Olivier Faugeras et al.   Entropy

Thermodynamics and signatures of criticality in a network of neurons

(2015) Gašper Tkačik et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Exact computation of the maximum-entropy potential of spiking neural-network models

(2014) R. Cofré et al.   PHYSICAL REVIEW E

Goodness-of-Fit Tests and Nonparametric Adaptive Estimation for Spike Train Analysis

(2014) Patricia Reynaud-Bouret et al.   Journal of Mathematical Neuroscience

The precision with which single cells of Dictyostelium discoideum can locate a source of cyclic AMP

(2013) Abha Chopra et al.   CHAOS SOLITONS & FRACTALS

Effects of Cellular Homeostatic Intrinsic Plasticity on Dynamical and Computational Properties of Biological Recurrent Neural Networks

(2013) J. Naude et al.   JOURNAL OF NEUROSCIENCE

Spike train statistics and Gibbs distributions

(2013) B. Cessac et al.   JOURNAL OF PHYSIOLOGY-PARIS

An update on the nonequilibrium linear response

(2013) M Baiesi et al.   NEW JOURNAL OF PHYSICS

Regular $g$-measures are not always Gibbsian

(2012) Roberto Fernandez et al.   ELECTRONIC COMMUNICATIONS IN PROBABILITY

The Architecture of Functional Interaction Networks in the Retina

(2011) E. Ganmor et al.   JOURNAL OF NEUROSCIENCE

Gibbs distribution analysis of temporal correlations structure in retina ganglion cells

(2011) J.C. Vasquez et al.   JOURNAL OF PHYSIOLOGY-PARIS

Sparse low-order interaction network underlies a highly correlated and learnable neural population code

(2011) E. Ganmor et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

From Spiking Neuron Models to Linear-Nonlinear Models

(2011) Srdjan Ostojic et al.   PLoS Computational Biology

Statistics of spike trains in conductance-based neural networks: Rigorous results

(2011) Bruno Cessac   Journal of Mathematical Neuroscience

The free-energy principle: a unified brain theory?

(2010) Karl Friston   NATURE REVIEWS NEUROSCIENCE

Eye Smarter than Scientists Believed: Neural Computations in Circuits of the Retina

(2010) Tim Gollisch et al.   NEURON

The Structure of Large-Scale Synchronized Firing in Primate Retina

(2009) J. Shlens et al.   JOURNAL OF NEUROSCIENCE

How Gibbs Distributions May Naturally Arise from Synaptic Adaptation Mechanisms. A Model-Based Argumentation

(2009) B. Cessac et al.   JOURNAL OF STATISTICAL PHYSICS

Neuronal couplings between retinal ganglion cells inferred by efficient inverse statistical physics methods

(2009) S. Cocco et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

The free-energy principle: a rough guide to the brain?

(2009) Karl Friston   TRENDS IN COGNITIVE SCIENCES

A constructive mean-field analysis of multi population neural networks with random synaptic weights and stochastic inputs

(2009) Olivier Faugeras   Frontiers in Computational Neuroscience

A Mathematical Analysis of the Effects of Hebbian Learning Rules on the Dynamics and Structure of Discrete-Time Random Recurrent Neural Networks

(2008) Benoît Siri et al.   NEURAL COMPUTATION