Contrasting Research of Local preserving manifold learning algorithms

• 1、Beijing Jiaotong University

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