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Overview of nonlinear dimensionality reduction methods in manifold learning

Zhao Liu

Open publisher page 6 citations

Abstract

A detailed retrospection was made on nonlinear dimensionality reduction methods in manifold learning,whose advantages and defects were pointed out respectively.Compared with traditional linear method,nonlinear dimensionality reduction methods in manifold learning could discover the intrinsic dimensions of nonlinear high-dimensional data effectively,help researcher to reduce dimensionality and analyzer data better.Finally,the prospect of nonlinear dimensionality reduction methods in manifold learning was discussed,so as to extend the application area of manifold learning.

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What this paper is about

A detailed retrospection was made on nonlinear dimensionality reduction methods in manifold learning,whose advantages and defects were pointed out respectively.Compared with traditional linear method,nonlinear dimensionality reduction methods in manifold learning could discover the intrinsic dimensions of nonlinear high-dimensional data effectively,help researcher to reduce dimensionality and analyzer data better.Finally,the prospect of nonlinear dimensionality reduction methods in manifold learning was discussed,so as to extend the application area of manifold learning.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A detailed retrospection was made on nonlinear dimensionality reduction methods in manifold learning,whose advantages and defects were pointed out respectively.Compared with traditional linear method,nonlinear dimensionality reduction methods in manifold learning could discover the intrinsic dimensions of nonlinear high-dimensional data effectively,help researcher to reduce dimensionality and analyzer data better.Finally,the prospect of nonlinear dimensionality reduction methods in manifold learning was discussed,so as to extend the application area of manifold learning.

Key concepts: Nonlinear dimensionality reduction, Dimensionality reduction, Manifold (fluid mechanics), Curse of dimensionality, Computer science, Nonlinear system, Manifold alignment, Reduction (mathematics)

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