局部保持的流形学习算法对比研究
首发时间:2008-04-25
摘要: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。本文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。
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Contrasting Research of Local preserving manifold learning algorithms
Abstract:Local preserving manifold learning algorithms preserve local geometric properties between observed space and intrinsic embedding space from local to global geometry, and find the intrinsic low-dimensional manifold in the high-dimensional Euclidean space. This paper analyzed the fundamental implementation framework of local preserving manifold learning and compared in detail the properties of several classical manifold learning algorithms based on local preserving. Finally, several helpful research directions were proposed.
Keywords: Manifold learning Local geometry property Linear projection Intrinsic manifold Spectral graph
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