局部保持的流形学习算法对比研究

Contrasting research of local preserving manifold learning algorithms

局部保持的流形学习通过从局部到整体的思想保持观测空间和内在嵌入空间的局部几何共性,发现嵌入在高维欧氏空间中的内在低维流形。分析了局部保持的流形学习算法的基本实现框架,详细比较了一些局部保持的流形学习算法的特点,提出了几个有益的研究主题。

Local preserving manifoht learning algorithms preserve local geometric properties between observed space and intrinsic embedding spaee from local to global geometry,and find the intrinsic low-dimensional manifold in the high-dimensional Eu- clidean space.This paper analyzes the fundamental implementation framework of local preserving manifold learning and compares in detail the properties of several classical manifold learning algorithms based on local preserving.Finally,several helpful research direetions are proposed.