基于小波尺度函数的WSK-SV算法 及其气动性能预测

王保国; 徐燕骥; 安二; 孙拓

基于小波尺度函数的WSK-SV算法及其气动性能预测

1.
北京理工大学宇航学院高速气动热与人机工程中心,北京 100081
2.
中国科学院工程热物理研究所,北京 100190

基金项目: 国家自然科学基金(50376004); 高等学校博士学科点专项基金(20030007028)

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- 文章访问数: 1759
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- 被引次数: 0
出版历程
- 收稿日期: 2011-06-07
- 修回日期: 2011-07-06
- 刊出日期: 2011-10-28

WSK-SV algorithm based on scaling function of wavelet and its prediction for aerodynamic performance

1.
Aerothermodynamics and Man-Machine-Environment Laboratory, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
2.
Insititute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China

摘要

摘要: 提出了一种将小波的尺度函数与SV(support vector)算法相结合的WSK-SV(wavelet scaling kernel-support vector)新算法,并将Daubechies小波以及Shannon小波的尺度函数分别构成尺度核函数,而且分别作为SV算法中一个可容许的支持向量核函数使用.该算法充分利用了Daubechies小波函数的紧支集与正交等特点以及小波的MRA(multi-resolution analysis,多分辨分析),并注意了尺度核函数能够满足Mercer条件.该算法除了具有通常SVM(support vector machine)所具有的优点外,还具有很好的收敛性以及泛化能力,能够有效地提高学习与预测效率.典型算例选取了不同的小波尺度函数,数值计算表明:在一维、二维和三维问题中,这些小波的尺度函数均可以用于WSK-SV算法,进而显示了这个新算法的可行性与通用性.
- WSK-SV(wavelet scaling kernel-support vector) 算法 /
- Daubechies小波 /
- Shannon小波 /
- 小波尺度核函数 /
- 凸二次规划 /
- 气动性能预测
Abstract: A new wavelet scaling kernel-support vector (WSK-SV) algorithm based on scaling function of wavelet and support vector (SV) algorithm was presented in this paper,which firstly took Daubechies and Shannon wavelet-scaling kernel function for a kind of admissible support vector kernel,respectively.WSK-SV algorithm possesses such properties as compactly supported wavelet bases,orthogonal bases,multiresolution analysis (MRA),and satisfies Mercer condition for scaling kernel function.This algorithm not only has the advantages of general support vector machine (SVM),but also has a good convergence and excellent capacity of generalization,which can improve the learning efficiency and predicting ability.Numerical experiments demonstrate that this proposed WSK-SV algorithm is feasible and effective.
- WSK-SV(wavelet scaling kernel-support vector) algorithm /
- Daubechies wavelet /
- Shannon wavelet /
- wavelet scaling kernel function /
- convex quadratic programming /
- prediction for aerodynamic performance

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参考文献(13)

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