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A Manifold-Based Dimension Reduction Algorithm Framework for Noisy Data Using Graph Sampling and Spectral Graph
Joint Authors
Yang, Tao
Fu, Dongmei
Meng, Jintao
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-29
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper proposes a new manifold-based dimension reduction algorithm framework.
It can deal with the dimension reduction problem of data with noise and give the dimension reduction results with the deviation values caused by noise interference.
Commonly used manifold learning methods are sensitive to noise in the data.
Mean computation, a denoising method, is an important step in data preprocessing but leads to a loss of local structural information.
In addition, it is difficult to measure the accuracy of the dimension reduction of noisy data.
Thus, manifold learning methods often transform the data into an approximately smooth manifold structure; however, practical data from the physical world may not meet the requirements.
The proposed framework follows the idea of the localization of manifolds and uses graph sampling to determine some local anchor points from the given data.
Subsequently, the specific range of localities is determined using graph spectral analysis, and the density within each local range is estimated to obtain the distribution parameters.
Then, manifold-based dimension reduction with distribution parameters is established, and the deviation values in each local range are measured and further extended to all data.
Thus, our proposed framework gives a measurement method for deviation caused by noise.
American Psychological Association (APA)
Yang, Tao& Fu, Dongmei& Meng, Jintao. 2020. A Manifold-Based Dimension Reduction Algorithm Framework for Noisy Data Using Graph Sampling and Spectral Graph. Complexity،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1145288
Modern Language Association (MLA)
Yang, Tao…[et al.]. A Manifold-Based Dimension Reduction Algorithm Framework for Noisy Data Using Graph Sampling and Spectral Graph. Complexity No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1145288
American Medical Association (AMA)
Yang, Tao& Fu, Dongmei& Meng, Jintao. A Manifold-Based Dimension Reduction Algorithm Framework for Noisy Data Using Graph Sampling and Spectral Graph. Complexity. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1145288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145288