| 基于Chebyshev多项式的自适应偏最小二乘回归建模 |
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| 引用本文： | 曾三友,孙星明,金可音,夏利民.基于Chebyshev多项式的自适应偏最小二乘回归建模[J].铁道科学与工程学报,2001,19(1):95-99. |
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| 作者姓名： | 曾三友 孙星明 金可音 夏利民 |
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| 作者单位： | 1. 株洲工学院计算机系，湖南株洲 412008
2. 中南大学铁道校区信息工程学院，湖南长沙 410075 |
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| 基金项目： | 国家自然科学基金资助项目(70071042，60073043) |
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| 摘 要： | 把Chebyshev多项式和偏最小二乘法有机地结合起来，提出一种基于Chebyshev多项式的自适应偏最小二乘回归建模算法。它自动建立一个预测误差较小的基于Chebyshev多项式的多元多项式模型，它的预测效果优于传统多元多项式模型。本文算法是偏最小乘法的推广，也是偏最小二乘法在非线性领域里的应用。
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| 关 键 词： | Chebyshev多项式 偏最小二乘法 回归模型 |
| 文章编号： | 1000-2499(2001)01-0095-05 |
| 修稿时间： | 2000年6月14日 |
Construction of Self-adaptive Partial Least Squares Regression Model Based on Chebyshev's Polynomial |
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| ZENG San-you.Construction of Self-adaptive Partial Least Squares Regression Model Based on Chebyshev''''s Polynomial[J].Journal of Railway Science and Engineering,2001,19(1):95-99. |
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| Authors: | ZENG San-you |
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| Abstract: | This paper provides an algorithm of constructing self-adaptive partial least sqaures regression model based on Chebyshev's polynomial.It automatically builds a multinomial model based on Chebyshev's polynomial with less predicting error.Its predicting efficency is better than that of traditional multinomial model.The algorithm proposed in this paper has generalized the partial least square method.In other words it means the application of partial least square method in nonlinear field. |
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