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非最小均方误差下的核主成分分析算法

李建磊 付世豪 刘志鹏

曲阜师范大学学报(自然科学版)2024,Vol.50Issue(4):53-58,6.
曲阜师范大学学报(自然科学版)2024,Vol.50Issue(4):53-58,6.DOI:10.3969/j.issn.1001-5337.2024.4.053

非最小均方误差下的核主成分分析算法

Kernel principal component analysis algorithm under non-minimum mean square error

李建磊 1付世豪 1刘志鹏2

作者信息

  • 1. 华北水利水电大学数学与统计学院,450046,河南省郑州市
  • 2. 电子科技大学中山学院,528402,广东省中山市
  • 折叠

摘要

Abstract

The traditional machine learning method has a better processing effect on low-dimensional data,but it is often not satisfactory for high-dimensional nonlinear data.For high-dimensional nonlinear da-ta processing,this paper improves a novel machine learning algorithm which can eliminate the redundant and irrelevant features in high-dimensional data and reduce the dimension of these nonlinear high-dimen-sional data,namely kernel principal component analysis algorithm based on maximum correntropy criterion(KPCA-MCC).In this paper,the particle swarm optimization algorithm is used to optimize the data param-eters.Under the support of vector machine(SVM)and least squares vector machine(LSSVM),the wind power is simulated and predicted.The KPCA-SVM and PCA-SVM,KPCA-MCC and KPCA-MSE algo-rithms are compared.Through a large number of comparative experiments,it is proved that the proposed kernel principal component analysis algorithm based on maximum correntropy criterion is effective,appli-cable and robust.

关键词

主成分分析/核主成分分析/最大相关熵/鲁棒性/风电功率

Key words

principal component analysis/kernel principal component analysis/maximum correlation entropy/robustness/wind power

分类

信息技术与安全科学

引用本文复制引用

李建磊,付世豪,刘志鹏..非最小均方误差下的核主成分分析算法[J].曲阜师范大学学报(自然科学版),2024,50(4):53-58,6.

基金项目

河南省自然科学基金(222300420579) (222300420579)

河南省高等学校青年骨干教师培养计划(2019GGJS100) (2019GGJS100)

河南省高等学校重点科研项目计划基础研究专项(20zx003) (20zx003)

河南省研究生优质课程(YJS2022KC01). (YJS2022KC01)

曲阜师范大学学报(自然科学版)

1001-5337

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