Paper Info
Title
Propagation of moments in Hawkes networks.
Abstract
The present paper provides a mathematical description of high-order moments of spiking activity in a recurrently-connected network of Hawkes processes. It extends previous studies that have explored the case of a (linear) Hawkes network driven by deterministic rate functions to the case of a stimulation by external inputs (rate functions or spike trains) with arbitrary correlation structure. Our approach describes the spatio-temporal filtering induced by the afferent and recurrent connectivities using operators of the input moments. This algebraic viewpoint provides intuition about how the network ingredients shape the input-output mapping for moments, as well as cumulants.
Year
Venue
Field
2018
arXiv: Neurons and Cognition
Applied mathematics,Algebraic number,Afferent,Control theory,Filter (signal processing),Intuition,Cumulant,Operator (computer programming),Mathematics
DocType
Volume
Citations 
Journal
abs/1810.09520
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Matthieu Gilson100.34
Jean-pascal Pfister215013.64