Title: A modified local linear embedding algorithm based on neighbour selection

Authors: ShiYao Liu; Tu Tang; Qi Kang; QiDi Wu

Addresses: Department of Control Science and Engineering, Tongji University, Shanghai 201804, China ' Department of Control Science and Engineering, Tongji University, Shanghai 201804, China ' Department of Control Science and Engineering, Tongji University, Shanghai 201804, China ' Department of Control Science and Engineering, Tongji University, Shanghai 201804, China

Abstract: Dimension reduction plays an important role for effectively extracting useful information from data in practical solutions. Locally Linear Embedding (LLE) is a promising non-linear dimensionality reduction method. However, LLE has some limitations in dealing with the problem of uneven distribution of data, i.e. the number of neighbours influences the size of local region. To solve this problem, this paper proposes a modified LLE method named LLE+, through improving the similarity measure for neighbour selection. The experiments proved that LLE+ has a better dimension reduction performance.

Keywords: dimension reduction; locally linear embedding; LLE; neighbour selection; similarity measures.

DOI: 10.1504/IJWMC.2015.072568

International Journal of Wireless and Mobile Computing, 2015 Vol.9 No.2, pp.133 - 139

Received: 02 Apr 2015
Accepted: 25 Apr 2015

Published online: 19 Oct 2015 *

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