Title
N-Fold Superposition: Improving Neural Networks by Reducing the Noise in Feature Maps
Abstract
Considering the use of Fully Connected (FC) layer limits the performance of Convolutional Neural Networks (CNNs), this paper develops a method to improve the coupling between the convolution layer and the FC layer by reducing the noise in Feature Maps (FMs). Our approach is divided into three steps. Firstly, we separate all the FMs into n blocks equally. Then, the weighted summation of FMs at the same position in all blocks constitutes a new block of FMs. Finally, we replicate this new block into n copies and concatenate them as the input to the FC layer. This sharing of FMs could reduce the noise in them apparently and avert the impact by a particular FM on the specific part weight of hidden layers, hence preventing the network from overfitting to some extent. Using the Fermat Lemma, we prove that this method could make the global minima value range of the loss function wider, by which makes it easier for neural networks to converge and accelerates the convergence process. This method does not significantly increase the amounts of network parameters (only a few more coefficients added), and the experiments demonstrate that this method could increase the convergence speed and improve the classification performance of neural networks.
Year
DOI
Venue
2018
10.1109/ICALIP.2018.8455505
2018 International Conference on Audio, Language and Image Processing (ICALIP)
Keywords
Field
DocType
Convolutional Neural Networks,deep learning,image classification,n-fold superposition,feature map sharing,hidden layer weight sharing
Convergence (routing),Mathematical optimization,Superposition principle,Convolution,Convolutional neural network,Algorithm,Maxima and minima,Concatenation,Overfitting,Artificial neural network,Mathematics
Journal
Volume
ISSN
ISBN
abs/1804.08233
2018 International Conference on Audio, Language and Image Processing (ICALIP), Shanghai, 2018, pp. 450-456
978-1-5386-5196-4
Citations 
PageRank 
References 
0
0.34
9
Authors
3
Name
Order
Citations
PageRank
Yang Liu11568126.97
qiang qu28312.15
Chao Gao311819.64