Leave-Two-Out Cross Validation to optimal shape parameter in radial basis functions

Azarboni Habibe Ramezannezhad; Keyanpour Mohammad; Yaghouti Mohammadreza

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Leave-Two-Out Cross Validation to optimal shape parameter in radial basis functions

机译：对径向基函数中的最佳形状参数进行留双交叉验证

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摘要

Determination of shape parameter has a major role in the accuracy of the radial basis functions method. In this paper, we present a new method called Leave-Two-Out Cross Validation to determine the best shape parameter. In the proposed method, by deleting two data from the data set, a new formula is derived for determining the error value and then the optimal shape parameter is determined. Num results show that the method will be more accurate in comparison with other methods.

机译：形状参数的确定在径向基函数方法的准确性中起着重要作用。在本文中，我们提出了一种称为“ Leave-Two-Out交叉验证”的新方法来确定最佳形状参数。在提出的方法中，通过从数据集中删除两个数据，导出一个新的公式来确定误差值，然后确定最佳形状参数。大量结果表明，与其他方法相比，该方法将更加准确。

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来源
《Engineering analysis with boundary elements》 |2019年第3期|204-210|共7页
作者
Azarboni Habibe Ramezannezhad; Keyanpour Mohammad; Yaghouti Mohammadreza;
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作者单位

Univ Guilan, Fac Math Sci, Rasht, Iran;

Univ Guilan, Fac Math Sci, Rasht, Iran;

Univ Guilan, Fac Math Sci, Rasht, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Radial basis functions; Leave-One-Out Cross Validation; Approximate Moving Least Squares; Shape parameter; Cross validation;

机译：径向基函数;留一法交叉验证;近似移动最小二乘;形状参数;交叉验证;

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专利

1. Leave-Two-Out Cross Validation to optimal shape parameter in radial basis functions [J] . Azarboni Habibe Ramezannezhad, Keyanpour Mohammad, Yaghouti Mohammadreza Engineering analysis with boundary elements . 2019,第Mara期

机译：在径向基函数中留下两次交叉验证到最佳形状参数
2. Searching for an optimal shape parameter for solving a partial differential equation with the radial basis functions method [J] . Marko Urleb, Leopold Vrankar Engineering analysis with boundary elements . 2018,第JULa期

机译：用径向基函数法寻找最优的形状参数来求解偏微分方程
3. Numerical Experiments on Optimal Shape Parameters for Radial Basis Functions [J] . Roque CMC, Ferreira AJM Numerical Methods for Partial Differential Equations: An International Journal . 2010,第3期

机译：径向基函数最佳形状参数的数值实验
4. Radial Basis Function Approximation Optimal Shape Parameters Estimation [C] . Vaclav Skala, Samsul Ariffin Abdul Karim, Marek Zabran International Conference on Computational Science . 2020

机译：径向基函数近似最佳形状参数估计
5. Variable shape parameter strategies in Radial Basis Function methods. [D] . Sturgill, Derek. 2009

机译：径向基函数方法中的可变形状参数策略。
6. Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method [O] . Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, 2020

机译：通过径向基函数和搭配方法的关节应用优化时滞分数方程的最佳控制
7. Radial Basis Function Approximation Optimal Shape Parameters Estimation [O] . Vaclav Skala, Samsul Ariffin Abdul Karim, Marek Zabran 2020

机译：径向基函数近似最佳形状参数估计
8. Optimal Space Station solar array gimbal angle determination via radial basis function neural networks [R] . Clancy, Daniel J., Oezguener, Uemit, Graham, Ronald E. 1994

机译：基于径向基函数神经网络的最佳空间站太阳能阵列万向角确定

Leave-Two-Out Cross Validation to optimal shape parameter in radial basis functions

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