Title
Contraction Properties of VLSI Cooperative Competitive Neural Networks of Spiking Neurons
Abstract
A non-linear dynamic system is called contracting if initial conditions are for- gotten exponentially fast, so that all trajectories converge to a single trajectory. We use contraction theory to derive an upper bound for the strength of recurrent connections that guarantees contraction for complex neural networks. Specifi- cally, we apply this theory to a special class of recurrent networks, often called Cooperative Competitive Networks (CCNs), which are an abstract representation of the cooperative-competitive connectivity observed in cortex. This specific type of network is believed to play a major role in shaping cortical responses and se- lecting the relevant signal among distractors and noise. In this paper, we analyze contraction of combined CCNs of linear threshold units and verify the results of our analysis in a hybrid analog/digital VLSI CCN comprising spiking neurons and dynamic synapses.
Year
Venue
Keywords
2007
NIPS
neural network,upper bound,initial condition,contract theory
Field
DocType
Citations 
Contraction (grammar),Computer science,Upper and lower bounds,Artificial intelligence,Contraction (operator theory),Artificial neural network,Very-large-scale integration,Trajectory,Machine learning,Exponential growth
Conference
5
PageRank 
References 
Authors
0.49
9
5
Name
Order
Citations
PageRank
Emre Neftci118317.52
Elisabetta Chicca258449.28
Giacomo Indiveri31460148.21
Jean-jacques E. Slotine42878344.39
Rodney J. Douglas5593242.90