7 citations · 15 across the 6 of their papers we have counts for
6 papers
A Palm Space Approach to Non-Linear Hawkes Processes
Philippe Robert, Gaëtan Vignoud
A Hawkes process on is a point process whose intensity function at time is a functional of its past activity before time . It is defined by its activation function …
On the Spontaneous Dynamics of Synaptic Weights in Stochastic Models with Pair-Based STDP
Philippe Robert, Gaëtan Vignoud
We investigate spike-timing dependent plasticity (STPD) in the case of a synapse connecting two neural cells. We develop a theoretical analysis of several STDP rules using Markovia…
Stochastic Models of Neural Plasticity: A Scaling Approach
Philippe Robert, Gaetan Vignoud
In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called synapses and represented by a scalar value, the synaptic w…
Averaging Principles for Markovian Models of Plasticity
Philippe Robert, Gaetan Vignoud
Mathematical models of biological neural networks are associated to a rich and complex class of stochastic processes. In this paper, we consider a simple {\em plastic} neural netwo…
Stochastic Models of Neural Synaptic Plasticity
Philippe Robert, Gaetan Vignoud
In neuroscience, learning and memory are usually associated to long-term changes of neuronal connectivity. In this context, synaptic plasticity refers to the set of mechanisms driv…
Ghost Units Yield Biologically Plausible Backprop in Deep Neural Networks
Thomas Mesnard, Gaetan Vignoud, Joao Sacramento +2
In the past few years, deep learning has transformed artificial intelligence research and led to impressive performance in various difficult tasks. However, it is still unclear how…