Title
A CHARACTERIZATION OF THE EDGE OF CRITICALITY IN BINARY ECHO STATE NETWORKS
Abstract
Echo State Newtworks (ESNs) are simplified recurrent neural network models composed of a reservoir and a linear, trainable readout layer. The reservoir is tunable by some hyper-parameters that control the network behaviour. ESNs are known to be effective in solving tasks when configured on a region in (hyper-)parameter space called Edge of Criticality (EoC), where the system is maximally sensitive to perturbations hence affecting its behaviour. In this paper, we propose binary ESNs, which are architecturally equivalent to standard ESNs but consider binary activation functions and binary recurrent weights. For these networks, we derive a closed-form expression for the EoC in the autonomous case and perform simulations in order to assess their behavior in the case of noisy neurons and in the presence of a signal. We propose a theoretical explanation for the fact that the variance of the input plays a major role in characterizing the EoC.
Year
DOI
Venue
2018
10.1109/MLSP.2018.8516959
2018 IEEE 28th International Workshop on Machine Learning for Signal Processing (MLSP)
Keywords
DocType
Volume
Reservoir computing,Binarization,Random Boolean networks,Edge of Criticality
Conference
abs/1810.01742
ISSN
ISBN
Citations 
1551-2541
978-1-5386-5478-1
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Pietro Verzelli111.71
Lorenzo Livi230425.67
Cesare Alippi31040115.84