Title
Advanced learning methods and exponent regularization applied to a high order neural network
Abstract
High order neural networks (HONNs) are neural networks which employ neurons that combine their inputs non-linearly. The high order network with exponential synaptic links (HONEST) network is a HONN that uses neurons with product units and adaptable exponents. This study examines the use of several advanced learning methods to train the HONEST network: resilient propagation, conjugate gradient, scaled conjugate gradient (SCG), and the Levenberg---Marquardt method. Using a collection of 32 widely-used benchmark datasets, we compare the mean squared error (MSE) performance of the HONEST network across the four algorithms, in addition to backpropagation, and find the SCG method to produce the best performance to a statistically significant extent. Additionally, we investigate the use of a regularization term in the error function, to smooth the magnitudes of the network exponents and nudge the network towards smaller exponents. We find that the use of regularization reduces exponent magnitudes without compromising test set MSE performance.
Year
DOI
Venue
2014
10.1007/s00521-014-1563-7
Neural Computing and Applications
Keywords
DocType
Volume
resilient propagation,statistical significance,levenberg---marquardt,scaled conjugate gradient,honest
Journal
25
Issue
ISSN
Citations 
3-4
1433-3058
1
PageRank 
References 
Authors
0.37
21
2
Name
Order
Citations
PageRank
Islam El-Nabarawy132.09
Ashraf M. Abdelbar224325.43