NDLI: Extreme learning machine for interval neural networks

Content Provider	Springer Nature Link
Author	Yang, Dakun Li, Zhengxue Wu, Wei
Copyright Year	2013
Abstract	Interval data offer a valuable way of representing the available information in complex problems where uncertainty, inaccuracy, or variability must be taken into account. Considered in this paper is the learning of interval neural networks, of which the input and output are vectors with interval components, and the weights are real numbers. The back-propagation (BP) learning algorithm is very slow for interval neural networks, just as for usual real-valued neural networks. Extreme learning machine (ELM) has faster learning speed than the BP algorithm. In this paper, ELM is applied for learning of interval neural networks, resulting in an interval extreme learning machine (IELM). There are two steps in the ELM for usual feedforward neural networks. The first step is to randomly generate the weights connecting the input and the hidden layers, and the second step is to use the Moore–Penrose generalized inversely to determine the weights connecting the hidden and output layers. The first step can be directly applied for interval neural networks. But the second step cannot, due to the involvement of nonlinear constraint conditions for IELM. Instead, we use the same idea as that of the BP algorithm to form a nonlinear optimization problem to determine the weights connecting the hidden and output layers of IELM. Numerical experiments show that IELM is much faster than the usual BP algorithm. And the generalization performance of IELM is much better than that of BP, while the training error of IELM is a little bit worse than that of BP, implying that there might be an over-fitting for BP.
Starting Page	3
Ending Page	8
Page Count	6
File Format	PDF
ISSN	09410643
Journal	Neural Computing and Applications
Volume Number	27
Issue Number	1
e-ISSN	14333058
Language	English
Publisher	Springer London
Publisher Date	2013-12-05
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Interval computation Interval neural network Extreme learning machine Interval extreme learning machine Artificial Intelligence (incl. Robotics) Data Mining and Knowledge Discovery Probability and Statistics in Computer Science Computational Science and Engineering Image Processing and Computer Vision Computational Biology/Bioinformatics
Content Type	Text
Resource Type	Article
Subject	Artificial Intelligence Software

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