[1]邓 楠,罗幼喜. 函数型Logistic回归模型研究与应用[J].湖北工业大学学报,2022,(1):115-120.
　DENG Nan,LUO Youxi. Research and Application of Functional Logistic Regression Model[J].,2022,(1):115-120.
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 函数型Logistic回归模型研究与应用()
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《湖北工业大学学报》[ISSN:1003-4684/CN:42-1752/Z]

卷:
期数:
2022年第1期
页码:
115-120
栏目:
湖北工业大学学报
出版日期:
2022-02-28

文章信息/Info

Title:
 Research and Application of Functional Logistic Regression Model
文章编号:
1003-4684(2022)01-0115-06
作者:
 邓 楠;  罗幼喜
 湖北工业大学理学院， 湖北 武汉 430068
Author(s):
 DENG Nan;  LUO Youxi
 School of Sciences, Hubei Univ. of Tech., Wuhan 430068, China
Keywords:
 ; functional data;  principal component analysis;  logistic regression;  polya-gamma
分类号:
O212
文献标志码:
A
Abstract:
 As a new kind of high-dimensional data, functional data focuses on the intrinsic nature of the data rather than the external structure. More information can be captured by fitting the data into functional data through non-parametric methods. In the case that response variables are binary classified, this paper considers establishing a functional Logistic regression model under the Bayesian framework, and uses the MCMC algorithm to obtain the conditional posterior distribution of parameters by introducing appropriate prior information. The concrete solution process is as follows: firstly, the regression coefficient function and regression function type independent variable are expanded by selecting data-driven principal component basis function, and the number of expanded items is truncated. The high-dimensional data are represented in low dimension by utilizing the orthogonality of principal component basis function. Then Poyla-Gamma transformation is used to establish the Gibbs sampling algorithm that is easy to obtain parameter posterior. The posterior distribution of regression function expansion term coefficient is obtained. Monte Carlo simulation results show that this method has good classification performance. Finally, this paper applies the method to the actual data of Tecator and finds that its classification effect is better than other methods.

参考文献/References:

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备注/Memo

备注/Memo:
［收稿日期］ 2020-12-26
［基金项目］ 国家社科基金项目(17BJY210)
［第一作者］ 邓 楠（1996-），女，四川泸州人，湖北工业大学硕士研究生，研究方向为应用统计
［通信作者］ 罗幼喜（1979-），男，湖北红安人，经济学博士，湖北工业大学教授，研究方向为数据挖掘，计量经济建模
更新日期/Last Update: 2022-02-28