615 citations · 661 across the 9 of their papers we have counts for
3 papers · 1 filter
Macroscopic equations governing noisy spiking neuronal populations
Mathieu Galtier, Jonathan Touboul
At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical…
A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity
Mathieu Galtier, Gilles Wainrib
Identifying, formalizing and combining biological mechanisms which implement known brain functions, such as prediction, is a main aspect of current research in theoretical neurosci…
Hebbian learning of recurrent connections: a geometrical perspective
Mathieu N. Galtier, Olivier D. Faugeras, Paul C. Bressloff
We show how a Hopfield network with modifiable recurrent connections undergoing slow Hebbian learning can extract the underlying geometry of an input space. First, we use a slow/fa…