计算机应用与软件Issue(9)：206-208,3.DOI:10.3969/j.issn.1000-386x.2014.09.051
一种基于局部保持的子流形可视化方法
A VISUALISATION METHOD FOR SUBMANIFOLDS BASED ON LOCALITY PRESERVING
摘要
Abstract
Majority of the manifold learning algorithm are based on the assumption of single manifold,when the high dimensional data con-centrate in more than one manifold,the visual effect of the manifold learning algorithm becomes worse.Aiming at this problem and learningfrom the idea of expanding the manifold surfaces in two-dimensional flat space,we propose a locality preserving-based submanifold visualisa-tion method.It divides the manifold data into multi-block submanifolds using singular value decomposition and k-means clustering method,calculates the topology relationship between the centre of the first diced manifold block and the centres of the remaining blocks,and projectsthe diced manifold blocks one by one followed by expansion while maintaining the above topology structure between the centres in targeted low-dimension and targeted space;at last,the experiment is conducted on face data-sets.Experimental results demonstrate that this method betterkeeps the topology structure between the data in submanifolds.关键词
流形切块/局部保持/奇异值分解Key words
Diced manifold blocks/Locality preserving/Singular value decomposition分类
信息技术与安全科学引用本文复制引用
李春利,许新忠,惠康华,沈鲁娟..一种基于局部保持的子流形可视化方法[J].计算机应用与软件,2014,(9):206-208,3.基金项目
中央高校基本科研业务费中国民航大学专项（ZXH2011C010）。 （）
