Title
Feedforward Neural Networks with a Hidden Layer Regularization Method.
Abstract
In this paper, we propose a group Lasso regularization term as a hidden layer regularization method for feedforward neural networks. Adding a group Lasso regularization term into the standard error function as a hidden layer regularization term is a fruitful approach to eliminate the redundant or unnecessary hidden layer neurons from the feedforward neural network structure. As a comparison, a popular Lasso regularization method is introduced into standard error function of the network. Our novel hidden layer regularization method can force a group of outgoing weights to become smaller during the training process and can eventually be removed after the training process. This means it can simplify the neural network structure and it minimizes the computational cost. Numerical simulations are provided by using K-fold cross-validation method with k = 5 to avoid overtraining and to select the best learning parameters. The numerical results show that our proposed hidden layer regularization method prunes more redundant hidden layer neurons consistently for each benchmark dataset without loss of accuracy. In contrast, the existing Lasso regularization method prunes only the redundant weights of the network, but it cannot prune any redundant hidden layer neurons.
Year
DOI
Venue
2018
10.3390/sym10100525
SYMMETRY-BASEL
Keywords
Field
DocType
sparsity,feedforward neural networks,hidden layer regularization,group lasso,lasso
Feedforward neural network,Mathematical analysis,Regularization (mathematics),Artificial intelligence,Mathematics
Journal
Volume
Issue
ISSN
10
10
2073-8994
Citations 
PageRank 
References 
2
0.36
12
Authors
3
Name
Order
Citations
PageRank
Habtamu Zegeye Alemu130.74
Wei Wu293.64
Junhong Zhao3277.02