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基于小波尺度函数的WSK-SV算法及其气动性能预测
引用本文: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[J].航空动力学报,2011,26(10):2161-2166.
作者姓名:王保国  徐燕骥  安二  孙拓
作者单位: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. 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/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)
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 scalingkernel-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...

关 键 词:WSK-SV(wavelet  scaling  kernel-supportvector)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
收稿时间:6/7/2011 12:00:00 AM
修稿时间:7/6/2011 12:00:00 AM

WSK-SV algorithm based on scaling function of wavelet and its prediction for aerodynamic performance
WANG Bao-guo,XU Yan-ji,AN Er and SUN Tuo.WSK-SV algorithm based on scaling function of wavelet and its prediction for aerodynamic performance[J].Journal of Aerospace Power,2011,26(10):2161-2166.
Authors:WANG Bao-guo  XU Yan-ji  AN Er and SUN Tuo
Institution:Aerothermodynamics and Man-Machine-Environment Laboratory, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;Aerothermodynamics and Man-Machine-Environment Laboratory, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;Insititute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China;Aerothermodynamics and Man-Machine-Environment Laboratory, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;Aerothermodynamics and Man-Machine-Environment Laboratory, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
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.
Keywords: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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