Title
Robust nonlinear dimension reduction: a self-organizing approach
Abstract
Most NDR algorithms need to solve large-scale eigenvalue problems or some variation of eigenvalue problems, which is of quadratic complexity of time and might be unpractical in case of large-size data sets. Besides, current algorithms are global, which are often sensitive to noise and disturbed by ill-conditioned matrix. In this paper, we propose a novel self-organizing NDR algorithm: SIE. The time complexity of SIE is O(NlogN). The main computing procedure of SIE is local, which improves the robustness of the algorithm remarkably.
Year
DOI
Venue
2005
null
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Keywords
Field
DocType
main computing procedure,current algorithm,ill-conditioned matrix,quadratic complexity,large-scale eigenvalue problem,large-size data set,ndr algorithm,self-organizing approach,robust nonlinear dimension reduction,time complexity,eigenvalue problem,self organization,dimension reduction
Data set,Dimensionality reduction,Computer science,Matrix (mathematics),Self-organization,Robustness (computer science),Artificial intelligence,Time complexity,Eigenvalues and eigenvectors,Pattern recognition,Algorithm,Calculus,Geodesic
Conference
Volume
Issue
ISSN
3614 LNAI
null
16113349
ISBN
Citations 
PageRank 
3-540-28331-5
3
0.49
References 
Authors
2
3
Name
Order
Citations
PageRank
Yuexian Hou126938.59
Liyue Yao230.49
Pilian He3297.46