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不相关的多线性主成分分析通过连续的方差最大化

Uncorrelated Multilinear Principal Component Analysis through Successive Variance Maximization
课程网址: http://videolectures.net/icml08_lu_ump/  
主讲教师: Haiping Lu
开课单位: 多伦多大学
开课时间: 2008-08-17
课程语种: 英语
中文简介:
在当今的各种机器学习任务中, 紧张度数据经常遇到, 降维是它们最重要的应用之一。本文提出了一种新的张张量数据维数约简算法--非相关多线性 pca (umpca), 将经典主成分分析 (pca) 扩展到其多线性版本。upmca 寻求一种张量到矢量投影, 该投影捕获原始张量输入中的大部分变化, 同时通过连续方差最大化生成不相关的特征。通过与其他三种基于 pca 的算法的比较, 对该算法的二阶张量问题、人脸识别进行了评价, 并通过与其他三种基于 pca 的算法的比较, 证明了该算法的优越性, 特别是在低维空间。
课程简介: Tensorial data are frequently encountered in various machine learning tasks today and dimensionality reduction is one of their most important applications. This paper extends the classical principal component analysis (PCA) to its multilinear version by proposing a novel dimensionality reduction algorithm for tensorial data, named as uncorrelated multilinear PCA (UMPCA). UMPCA seeks a tensor-to-vector projection that captures most of the variation in the original tensorial input while producing uncorrelated features through successive variance maximization. We evaluate the proposed algorithm on a second-order tensorial problem, face recognition, and the experimental results show its superiority, especially in low-dimensional spaces, through the comparison with three other PCA-based algorithms.
关 键 词: 主成分分析; 不相关的多线性主成分分析; 降维算法
课程来源: 视频讲座网公开课
最后编审: 2020-05-31:吴雨秋(课程编辑志愿者)
阅读次数: 128