Title
Noise-Removal Method for Manifold Learning.
Abstract
Manifold learning algorithms are nonlinear dimensionality reduction methods which could find the intrinsic geometry structure of the data points and recover the latent main factors that influence object changes. However, noise is unavoidable for datasets in the process of sampling. The noisy data easily get wrong results when using manifold learning algorithms. This paper proposes a noisy-data pre-processing method for manifold learning algorithms. Firstly, we utilize shrink strategy and adopt the eigenvalue linear criterion to find the tangent hyperplane of each data point. Then, we construct the local coordinate system for each tangent hyperplane and get the projection coordinates of each data point. Finally, we reconstruct the high-dimensional coordinates of each data point by affine transformation. The experiments show that the proposed method is effective and useful.
Year
DOI
Venue
2017
10.1007/978-981-10-6373-2_20
Communications in Computer and Information Science
Keywords
DocType
Volume
Noisy data,Manifold learning,Tangent space
Conference
762
ISSN
Citations 
PageRank 
1865-0929
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Zhonghua Hao122.41
Jingjing Liu251539.31
Shiwei Ma313621.79
Xin Jin433362.83
Xin Lian510.72