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Extended Manifold Learning Algorithm Based on Riemannian Normal Coordinates
黎曼法坐标流形学习扩展算法

Keywords: Manifold learning,Riemannian normal coordinates,Logarithmic map
流形学习
,黎曼法坐标,对数映射

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Abstract:

LOGMAP is a Riemannian manifold learning algorithm proposed recently.It is efficient for many nonlinear dimension reduction problems.However,the algorithm is only fit for single class problem,when applied to multi-class data,it can't get desirable embedding.In this paper,an extended LOGMAP algorithm is proposed for the multi-class manifold learning.In the algorithm,the local base points are found through the shortest distance from the class of global base point to other classes.Then the local Riemannian nor...

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