
Open access
Date
2018-09-18Type
- Working Paper
ETH Bibliography
yes
Altmetrics
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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000321342Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversityOrganisational unit
02533 - Institut für Neuroinformatik / Institute of Neuroinformatics
Funding
785907 - Human Brain Project Specific Grant Agreement 2 (EC)
More
Show all metadata
ETH Bibliography
yes
Altmetrics