[1]徐守江,朱庆保.基于微粒群算法的l_p数据拟合及其应用[J].南京师范大学学报(工程技术版),2006,06(03):062-65.
　XU Shoujiang,ZHU Qingbao.Particle Swarm Optimization Based on l_p Data Fitting and Its Applications[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(03):062-65.
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基于微粒群算法的l_p数据拟合及其应用
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
06卷
期数:
2006年03期
页码:
062-65
栏目:
出版日期:
2006-09-30

文章信息/Info

Title:
Particle Swarm Optimization Based on l_p Data Fitting and Its Applications
作者:
徐守江;朱庆保;
南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
XU Shoujiang; ZHU Qingbao
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
关键词:
计量学;  微粒群算法;  l_p数据拟合;  数据处理
Keywords:
m etro logy;  l p da ta fitting;  PSO a lgor ithm;  data processing
分类号:
TP301.6
摘要:
在动态测试数据处理中,常常要进行稳健回归分析和最小最大值回归分析,讨论了微粒群算法及其在lp数据拟合中的应用.微粒群算法通过多个粒子在解空间中根据自身的信息和群体的信息不断调整自己的位置进行寻优,在寻优过程中粒子间不断地进行信息交流,使得算法收敛速度很快,特别适合用于函数优化,从而能够在lp数据拟合中得到很好的应用.实例计算结果表明,该方法能够更准确地进行lp数据拟合,理论上可以以任意逼近真实值,从而减小了计算误差,并且有更快的收敛速度,可以快速收敛到全局最优解,因而具有一定的理论意义和现实意义.
Abstract:
Robust regression ana lys is and m in im al residua l error analysis are tw o aspec ts of da ta pro cessing o f dynam ic measurem ent. The Pa rtic le Swarm Optim ization ( PSO ) a lgo rithm and its application on lp data fitting are de-scr ibed. In PSO algor ithm, eve ry pa rtic le adjusts its position to find good results through its own inform ation and par ticle sw am. Every partic le communicates w ith the others in every itera tion, and PSO a lgo rithm converges quick ly. PSO a lgor ithm has som e advantages in func tion optim ization and can be applied to lp Data Fitting. A t last, examp les and related resu lts prove its va lid ity. This me thod can m ake l p Da ta Fitting very prec ise, and decrease the calculation erro r, m eanwh ile g loba l optim um so lution can be obta ined mo re rapidly than genetic algorithm. Th is m ethod has the theo retical and prac tica l significances

参考文献/References:

[ 1] MURRAY W, OVERTON M L. A pro jected Lagrang ian a lgo rithm for nonlinear l1 optim ization[ J]. S IAM J Stat Com p, 1981 ( 2): 207-224.
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相似文献/References:

[1]陈战平.求解线性约束问题的微粒群优化算法[J].南京师范大学学报(工程技术版),2010,10(04):026.
　Chen Zhanping,Particle Swarm Algorithm for Linear Constrained Optimization Problem[J].Journal of Nanjing Normal University(Engineering and Technology),2010,10(03):026.

备注/Memo

备注/Memo:
作者简介: 徐守江( 1983-) , 硕士研究生, 主要从事智能技术和智能控制的学习与研究. E-m ail: xs j040902@ 163. com
通讯联系人: 朱庆保( 1955-) , 教授, 硕士生导师, 主要从事智能技术和智能控制等方面的教学与研究. E-m ail: zhuq ingb ao@ n jnu. edu. cn
更新日期/Last Update: 2013-04-29