| 基于惩罚回归样条的函数导数拟合 |
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| 引用本文： | 关海洋,唐燕武,杨联强. 基于惩罚回归样条的函数导数拟合[J]. 安庆师范学院学报(自然科学版), 2015, 0(1): 13-15,22. DOI: 10.13757/j.cnki.cn34-1150/n.2015.01.004 |
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| 作者姓名： | 关海洋 唐燕武 杨联强 |
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| 作者单位： | 1. 安徽大学 数学科学学院,安徽 合肥,230601;2. 安庆师范学院 数学与计算科学学院,安徽 安庆,246133 |
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| 基金项目： | 国家自然科学基金，安徽省高校教学研究项目(2012JYXM094)。 |
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| 摘 要： | 在函数形式未知,而已知该函数的带误差的离散数据点情况下,运用基于p次截断幂基的惩罚回归样条拟合数据点,并在拟合出的曲线基础上求出函数的一阶导数。该方法将经典最小二乘法和惩罚样条方法进行结合,既考虑了拟合优度,又兼顾拟合曲线的光滑性,模拟和实际应用的例子显示此种方法效果较理想。
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| 关 键 词： | 数据拟合 回归 惩罚样条 导数 |
Fitting Derivative Function Based on Penalized Regression Spline |
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| GUAN Hai-yang,TANG Yan-wu,YANG Lian-qiang. Fitting Derivative Function Based on Penalized Regression Spline[J]. Journal of Anqing Teachers College(Natural Science Edition), 2015, 0(1): 13-15,22. DOI: 10.13757/j.cnki.cn34-1150/n.2015.01.004 |
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| Authors: | GUAN Hai-yang TANG Yan-wu YANG Lian-qiang |
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| Affiliation: | GUAN Hai-yang;TANG Yan-wu;YANG Lian-qiang;School of Mathematics and Computation Science,Anhui University;School of Mathematics and Computation Science,Anqing Teachers College; |
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| Abstract: | When the function is not identified but its discrete data points are given , fitting function based on penalized spline with pth-degree truncated power basis is constructed, and the first derivative of function is given.The method combines classical ordinary least squares and penalized spline smoothing , both the goodness and the smoothness of fitting curve are considered , simu-lations and application show its good efficiency . |
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| Keywords: | data fitting regression penalized spline derivative |
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