53 citations · 98 across the 9 of their papers we have counts for
9 papers
An integrative dynamical perspective for graph theory and the study of complex networks
Gorka Zamora-López, Matthieu Gilson
Built upon the shoulders of graph theory, the field of complex networks has become a central tool for studying real systems across various fields of research. Represented as graphs…
Neuronal architecture extracts statistical temporal patterns
Sandra Nestler, Moritz Helias, Matthieu Gilson
Neuronal systems need to process temporal signals. We here show how higher-order temporal (co-)fluctuations can be employed to represent and process information. Concretely, we dem…
Entropy production of Multivariate Ornstein-Uhlenbeck processes correlates with consciousness levels in the human brain
Matthieu Gilson, Enzo Tagliazucchi, Rodrigo Cofre
Consciousness is supported by complex patterns of brain activity which are indicative of irreversible non-equilibrium dynamics. While the framework of stochastic thermodynamics has…
Unfolding recurrence by Green's functions for optimized reservoir computing
Sandra Nestler, Christian Keup, David Dahmen +3
Cortical networks are strongly recurrent, and neurons have intrinsic temporal dynamics. This sets them apart from deep feed-forward networks. Despite the tremendous progress in the…
Capacity of the covariance perceptron
David Dahmen, Matthieu Gilson, Moritz Helias
The classical perceptron is a simple neural network that performs a binary classification by a linear mapping between static inputs and outputs and application of a threshold. For…
Propagation of spiking moments in linear Hawkes networks
Matthieu Gilson, Jean-Pascal Pfister
The present paper provides exact mathematical expressions for the high-order moments of spiking activity in a recurrently-connected network of linear Hawkes processes. It extends p…