Title
Group L Regularization for Pruning Hidden Layer Nodes of Feedforward Neural Networks.
Abstract
A group L-1(/2) regularization term is defined and introduced into the conventional error function for pruning the hidden layer nodes of feedforward neural networks. This group L-1(/2) regularization method (GL(1/2)) can prune not only the redundant hidden nodes but also the redundant weights of the surviving hidden nodes of the neural networks. As a comparison, the popular group lasso regularization (GL(2)) can prune the redundant hidden nodes, but cannot prune any redundant weights of the surviving hidden nodes, of the neural networks. A disadvantage of the GL(1/2) is that it involves a non-smooth absolute value function, which causes oscillation in the numerical computation and difficulty in the convergence analysis. As a remedy, the absolute value function is approximated by a smooth function, resulting in a smooth group L-1(/2) regularization method (SGL(1/2)). Numerical simulations on a few benchmark data sets show that, compared with GL(2), SGL(1/2) can achieve better accuracy and remove more redundant nodes and weights of the surviving hidden nodes. A convergence theorem is also proved for SGL(1/2).
Year
DOI
Venue
2019
10.1109/ACCESS.2018.2890740
IEEE ACCESS
Keywords
DocType
Volume
Feedforward neural networks,pruning hidden layer nodes and weights,group L-1(/2),smooth group L-1/2,group lasso,convergence
Journal
7
ISSN
Citations 
PageRank 
2169-3536
1
0.38
References 
Authors
0
4
Name
Order
Citations
PageRank
Habtamu Zegeye Alemu130.74
Junhong Zhao2277.02
Feng Li331.09
Wei Wu493.64