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2009 Ninth International Conference on Hybrid Intelligent Systems
Euler Neural Network with Its Weight-Direct-Determination and Structure-Automatic-Determination Algorithms
Shenyang, China
August 12-August 14
ISBN: 978-0-7695-3745-0
To overcome the intrinsic weaknesses of conventional back-propagation (BP) neural networks, a novel type of feed-forward neural network is constructed in this paper, which adopts a three-layer structure but with the hidden-layer neurons activated by a group of Euler polynomials. A weights-direct-determination (WDD) method is thus able to be derived for it, which obtains the optimal weights of the neural network directly (i.e., just in one step). Furthermore, a structure-automatic-determination (SAD) algorithm is presented to determine the optimal number of hidden-layer neurons of the Euler neural network (ENN). Computer-simulations substantiate the efficacy of such a Euler neural network with its WDD and SAD algorithms.
Index Terms:
Euler polynomials, Artificial neural networks, Iteration, Matrix pseudoinverse, Weights-direct-determination, Structure-automatic determination
Citation:
Yunong Zhang, Lingfeng Li, Yiwen Yang, Gongqin Ruan, "Euler Neural Network with Its Weight-Direct-Determination and Structure-Automatic-Determination Algorithms," his, vol. 3, pp.319-324, 2009 Ninth International Conference on Hybrid Intelligent Systems, 2009
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