Title
Dynamical constraints on using precise spike timing to compute in recurrent cortical networks.
Abstract
Several recent models have proposed the use of precise timing of spikes for cortical computation. Such models rely on growing experimental evidence that neurons in the thalamus as well as many primary sensory cortical areas respond to stimuli with remarkable temporal precision. Models of computation based on spike timing, where the output of the network is a function not only of the input but also of an independently initializable internal state of the network, must, however, satisfy a critical constraint: the dynamics of the network should not be sensitive to initial conditions. We have previously developed an abstract dynamical system for networks of spiking neurons that has allowed us to identify the criterion for the stationary dynamics of a network to be sensitive to initial conditions. Guided by this criterion, we analyzed the dynamics of several recurrent cortical architectures, including one from the orientation selectivity literature. Based on the results, we conclude that under conditions of sustained, Poisson-like, weakly correlated, low to moderate levels of internal activity as found in the cortex, it is unlikely that recurrent cortical networks can robustly generate precise spike trajectories, that is, spatiotemporal patterns of spikes precise to the millisecond timescale.
Year
DOI
Venue
2008
10.1162/neco.2008.05-06-206
Neural Computation
Keywords
Field
DocType
spike timing,dynamical constraint,cortical computation,initial condition,primary sensory cortical area,recurrent cortical architecture,precise spike trajectory,initializable internal state,recurrent cortical network,internal activity,precise timing,precise spike timing,dynamic system
Neuroscience,Biological system,Models of neural computation,Model of computation,Artificial intelligence,Artificial neural network,Sensory system,Dynamical system,Computation,Millisecond,Initial value problem,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
20
4
0899-7667
Citations 
PageRank 
References 
10
0.78
9
Authors
4
Name
Order
Citations
PageRank
Arunava Banerjee131329.18
Seriès, P2100.78
Alexandre Pouget323744.18
Peggy Seriès4656.84