Title
On the node complexity of neural networks
Abstract
New results are presented for the node complexity of threshold logic circuit implementations of n-input, m-output logic functions. When no restrictions are imposed on the network the node complexity is shown to be θ( m2 n (n− log m )) . One-hidden-layer networks are shown to have a node complexity of O(2 n + m) and θ( m 2 n [ n ( n + m )]) . Networks with weights restricted to the set {−1, 0, 1} are shown to have a node complexity of θ( m2 n ) , and networks for which fan-in is restricted to 2 are shown to have a node complexity of θ( m 2 n ( n + log m )) .
Year
DOI
Venue
1994
10.1016/0893-6080(94)90089-2
Neural Networks
Keywords
Field
DocType
threshold logic,logic synthesis,neural network,neural networks,circuit complexity,node complexity,multilayer perceptrons
Logic synthesis,Discrete mathematics,Logic gate,Mathematical optimization,Circuit complexity,Algorithm,Artificial neural network,Mathematics
Journal
Volume
Issue
ISSN
7
9
Neural Networks
Citations 
PageRank 
References 
13
1.22
16
Authors
2
Name
Order
Citations
PageRank
Bill G. Horne133433.87
Don R. Hush221933.26