Topology Structure Analysis of High Dimensional Dataset by Flattening Deformation of Data Manifold-Reference-Cited by-同舟云学术

Topology Structure Analysis of High Dimensional Dataset by Flattening Deformation of Data Manifold

Published:2021-12-21 Issue: Volume:15 Page:161-164
ISSN:1998-0159
Container-title:International Journal of Mathematics and Computers in Simulation
language:en
Short-container-title:

Author:

Zhuang Xiaodong¹,Mastorakis Nikos E.²

Affiliation:

1. Electronic Information College, Qingdao University, 266071 China

2. Technical University of Sofia, Industrial Engineering Department, Kliment Ohridski 8, Sofia, 1000 Bulgaria

Abstract

A new analysis method for high dimensional sets is proposed by autonomous deforming of data manifolds. The deformation is guided by two kinds of virtual interactions between data points. The flattening of data manifold is achieved under the elastic and repelling interactions, meanwhile the topological structure of the manifold is preserved. The proposed method provides a novel geometric viewpoint on high-dimensional data analysis. Experimental results prove the effectiveness of the proposed method in dataset structure analysis.

Publisher

North Atlantic University Union (NAUN)

Subject

Applied Mathematics,Computational Theory and Mathematics,Modeling and Simulation

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