| 基于正则化方法的多元数据拟合问题 |
| |
| 引用本文： | 于一发,张大庆.基于正则化方法的多元数据拟合问题[J].鞍山钢铁学院学报,2013(4):337-341. |
| |
| 作者姓名： | 于一发 张大庆 |
| |
| 作者单位： | 辽宁科技大学理学院,辽宁鞍山114051 |
| |
| 基金项目： | 国家自然科学基金项目（61273011,61273003） |
| |
| 摘 要： | 考虑了多元数据拟合过程中的不适定问题,采用Tikhonov正则化方法,在最小化泛函中引入正则化泛函解决整个辨识过程中的不适定问题,并且利用贝叶斯正则化方法迭代计算正则化参数及方程解。最后,通过数值模拟验证方法的有效性。
|
| 关 键 词： | 数据拟合 正则化方法 贝叶斯正则化方法 |
Multivariate data fitting problems with regularization method |
| |
| YU Yifa,ZHANG Daqing.Multivariate data fitting problems with regularization method[J].Journal of Anshan Institute of Iron and Steel Technology,2013(4):337-341. |
| |
| Authors: | YU Yifa ZHANG Daqing |
| |
| Affiliation: | ( School of Science, University of Science and Technology Liaoning, Anshan 114051, China ) |
| |
| Abstract: | The ill-posedness of multivariate data fitting process is considered. Tikhonov regularization method is applied in the fitting process, the ill-posed problems are solved by introducing regularization functional in the minimizing function. Bayesian regularization method is used to iterative calculate the regularization param- eters and the desired solutions. Finally, numerical simulations are carried out to validate the proposed method. |
| |
| Keywords: | data fitting regularization method Bayesian regularization method |
| 本文献已被 维普 等数据库收录！ |
|
