Presentation 2002/12/6
A Neural Network With Variable Connection Weights and Its Application to Function Approximation
Makoto KOURIN, Kenji NAKAYAMA, Akihiro HIRANO,
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Abstract(in English) Boundary surface of a neuron with a linear combination of inputs is a hyper-plane. Multilayer neural networks (NN) usually compose many the hyper-planes, and form a complicated boundary. In this paper, a variable connection weight is proposed. In the linear combination of the inputs, the connection weight from the bias to the neuron is controlled by the input. A single neuron with this variable connection weight can form a curved surface boundary. A multi-stage learning algorithm is proposed for the NN with the variable connection weights. In the first step, the NN with the normal connection weights, which are not controlled by the inputs, is trained. Next,the variable connection weights are adjusted using the back-propagated error. Finally, both connection weights are simultaneously trained. The learning is based on the error back-propagation algorithm. Simulation results show the proposed NN can approximate complicated functions using a small number of neurons.
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Keyword(in English) Neural networks / Boundary surface / Variable connection weights / Learning / Function approximation
Paper # NC2002-96
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Committee NC
Conference Date 2002/12/6(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Neural Network With Variable Connection Weights and Its Application to Function Approximation
Sub Title (in English)
Keyword(1) Neural networks
Keyword(2) Boundary surface
Keyword(3) Variable connection weights
Keyword(4) Learning
Keyword(5) Function approximation
1st Author's Name Makoto KOURIN
1st Author's Affiliation Division of Electironics and Computer Science, Graduate School of Natural Science and Technology Kanazawa University()
2nd Author's Name Kenji NAKAYAMA
2nd Author's Affiliation Dept. of Information and Systems Eng. Faculty of Eng. Kanazawa University
3rd Author's Name Akihiro HIRANO
3rd Author's Affiliation Dept. of Information and Systems Eng. Faculty of Eng. Kanazawa University
Date 2002/12/6
Paper # NC2002-96
Volume (vol) vol.102
Number (no) 508
Page pp.pp.-
#Pages 6
Date of Issue