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Erschienen in: Neural Computing and Applications 5/2009

01.06.2009 | ISNN 2008

A gradient-based sequential radial basis function neural network modeling method

verfasst von: Wen Yao, Xiaoqian Chen, Wencai Luo

Erschienen in: Neural Computing and Applications | Ausgabe 5/2009

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Abstract

Radial basis function neural network (RBFNN) is widely used in nonlinear function approximation. One of the key issues in RBFNN modeling is to improve the approximation ability with samples as few as possible, so as to limit the network’s complexity. To solve this problem, a gradient-based sequential RBFNN modeling method is proposed. This method can utilize the gradient information of the present model to expand the sample set and refine the model sequentially, so as to improve the approximation accuracy effectively. Two mathematical examples and one practical problem are tested to verify the efficiency of this method.

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Literatur
2.
Zurück zum Zitat Fang H, Horstemeyer (2005) Metamodeling with radial basis functions. In: The 46th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conferrence, paper no. AIAA 2005-2059, Austin Fang H, Horstemeyer (2005) Metamodeling with radial basis functions. In: The 46th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conferrence, paper no. AIAA 2005-2059, Austin
5.
6.
Zurück zum Zitat Xiaofang Y, Yaonan W, Wei S, Huiqian Y (2005) A hybrid learning algorithm for RBF neural networks based on support vector machines and BP algorithms. J Hunan Univ 32(3):88–92 in Chinese. Natural Sciences Xiaofang Y, Yaonan W, Wei S, Huiqian Y (2005) A hybrid learning algorithm for RBF neural networks based on support vector machines and BP algorithms. J Hunan Univ 32(3):88–92 in Chinese. Natural Sciences
7.
Zurück zum Zitat Lin Y, Mistree F, Allen JK, Tsui KL, Chen VCP (2004) Sequential metamodeling in engineering design. In: The 10th AIAA/ISSMO multidisciplinary analysis and optimization conference, paper no. AIAA 2004-4304, Albany Lin Y, Mistree F, Allen JK, Tsui KL, Chen VCP (2004) Sequential metamodeling in engineering design. In: The 10th AIAA/ISSMO multidisciplinary analysis and optimization conference, paper no. AIAA 2004-4304, Albany
8.
Zurück zum Zitat Lin Y (2004) An efficient robust concept exploration method and sequential exploratory experimental design. PhD dissertation, Philosophy in Mechanical Engineering, Georgia Institute of Technology Lin Y (2004) An efficient robust concept exploration method and sequential exploratory experimental design. PhD dissertation, Philosophy in Mechanical Engineering, Georgia Institute of Technology
9.
Zurück zum Zitat Krishnamurthy T (2003) Response surface approximation with augmented and compactly supported radial basis functions. In: The 44th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, paper no. AIAA 2003-1748. Norfolk Krishnamurthy T (2003) Response surface approximation with augmented and compactly supported radial basis functions. In: The 44th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, paper no. AIAA 2003-1748. Norfolk
10.
Zurück zum Zitat Jin R, Chen W, Sudjianto A (2002) On sequential sampling for global metamodeling in engineering design. In: ASME 2002 design engineering technical conferences and computer and information in engineering conference, paper no. DETC2002/DAC-34092, Montreal Jin R, Chen W, Sudjianto A (2002) On sequential sampling for global metamodeling in engineering design. In: ASME 2002 design engineering technical conferences and computer and information in engineering conference, paper no. DETC2002/DAC-34092, Montreal
11.
Zurück zum Zitat Yao W (2007) Research on uncertainty multidisciplinary design optimization theory and application to satellite system design (in Chinese). Master of engineering dissertation, National University of Defense Technology Yao W (2007) Research on uncertainty multidisciplinary design optimization theory and application to satellite system design (in Chinese). Master of engineering dissertation, National University of Defense Technology
12.
Zurück zum Zitat Giunta AA, Wojtkiewicz SF Jr, Eldred MS (2003) Overview of modern design of experiments methods for computational simulations. In: 41st aerospace sciences meeting and exhibit, paper no. AIAA 2003-649, Reno Giunta AA, Wojtkiewicz SF Jr, Eldred MS (2003) Overview of modern design of experiments methods for computational simulations. In: 41st aerospace sciences meeting and exhibit, paper no. AIAA 2003-649, Reno
13.
Zurück zum Zitat Giunta AA, Watson LT (1998) A comparison of approximation modeling techniques: polynomial versus interpolating models. In: The 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, paper no. AIAA 98-4758, Louis Giunta AA, Watson LT (1998) A comparison of approximation modeling techniques: polynomial versus interpolating models. In: The 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, paper no. AIAA 98-4758, Louis
Metadaten
Titel
A gradient-based sequential radial basis function neural network modeling method
verfasst von
Wen Yao
Xiaoqian Chen
Wencai Luo
Publikationsdatum
01.06.2009
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 5/2009
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-009-0249-z

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