计算机应用与软件2024，Vol.41Issue(8)：334-344,11.DOI:10.3969/j.issn.1000-386x.2024.08.048
一种多局部线性模式保持的降维算法
A DIMENSION REDUCTION ALGORITHM FOR MULTI LOCAL LINEAR PATTERN PRESERVING
摘要
Abstract
In order to capture the local nonlinear structure of data more accurately,an unsupervised dimension reduction algorithm based on multiple local linear pattern preserving is proposed.The corresponding data points were reconstructed linearly in the local region,and the directional derivative was used to replace the gradient in the first-order Taylor expansion to reduce the approximation error.The multi-linear patterns were used to represent the data points,so as to describe the local nonlinear geometric features of the data more accurately.Furthermore,the embedding result was obtained by minimizing the multi local linear reconstruction error in the embedded data space.The experimental results on 4 synthetic datasets and 6 real datasets show that the proposed method can accurately capture the nonlinear structure.关键词
局部非线性/无监督/维数降维/线性重构Key words
Local nonlinearity/Unsupervised/Dimension reduction/Linear reconstruction分类
信息技术与安全科学引用本文复制引用
王红娟,胡海根..一种多局部线性模式保持的降维算法[J].计算机应用与软件,2024,41(8):334-344,11.基金项目
浙江省自然科学基金项目(LY18F030025) （LY18F030025）
河南省职业技术教育学会2020年度研究课题(2020-ZJXH-005). （2020-ZJXH-005）
