17 citations · 20 across the 10 of their papers we have counts for
10 papers
On large networks of integrate-and-fire neurons with short-term synaptic plasticity
Quentin Cormier, Eva Löcherbach, Valentin Schmutz
This work studies the mean-field limit of large networks of interacting stochastic leaky integrate-and-fire (LIF) neurons subject to short-term synaptic depression (STD). The macro…
Spikes can transmit neurons' subthreshold membrane potentials
Valentin Schmutz
Neurons primarily communicate through the emission of action potentials, or spikes. To generate a spike, a neuron's membrane potential must cross a defined threshold. Does this spi…
Dense networks of integrate-and-fire neurons: Spatially-extended mean-field limit of the empirical measure
Pierre-Emmanuel Jabin, Valentin Schmutz, Datong Zhou
The dynamics of spatially-structured networks of interacting stochastic neurons can be described by deterministic population equations in the mean-field limit. While this is kn…
Emergent rate-based dynamics in duplicate-free populations of spiking neurons
Valentin Schmutz, Johanni Brea, Wulfram Gerstner
Can Spiking Neural Networks (SNNs) approximate the dynamics of Recurrent Neural Networks (RNNs)? Arguments in classical mean-field theory based on laws of large numbers provide a p…
Mesoscopic modeling of hidden spiking neurons
Shuqi Wang, Valentin Schmutz, Guillaume Bellec +1
Can we use spiking neural networks (SNN) as generative models of multi-neuronal recordings, while taking into account that most neurons are unobserved? Modeling the unobserved neur…
Mesoscopic description of hippocampal replay and metastability in spiking neural networks with short-term plasticity
Bastian Pietras, Valentin Schmutz, Tilo Schwalger
Bottom-up models of functionally relevant patterns of neural activity provide an explicit link between neuronal dynamics and computation. A prime example of functional activity pat…
Long time behavior of an age and leaky memory-structured neuronal population equation
Claudia Fonte, Valentin Schmutz
We study the asymptotic stability of a two-dimensional mean-field equation, which takes the form of a nonlocal transport equation and generalizes the time-elapsed neuron network mo…
On a finite-size neuronal population equation
Valentin Schmutz, Eva Löcherbach, Tilo Schwalger
Population equations for infinitely large networks of spiking neurons have a long tradition in theoretical neuroscience. In this work, we analyze a recent generalization of these e…
Mean-field limit of Age and Leaky Memory dependent Hawkes processes
Valentin Schmutz
We propose a mean-field model of interacting point processes where each process has a memory of the time elapsed since its last event (age) and its recent past (leaky memory), gene…
Mesoscopic population equations for spiking neural networks with synaptic short-term plasticity
Valentin Schmutz, Wulfram Gerstner, Tilo Schwalger
Coarse-graining microscopic models of biological neural networks to obtain mesoscopic models of neural activities is an essential step towards multi-scale models of the brain. Here…