NDLI: Submanifold decomposition

Content Provider	IEEE Xplore Digital Library
Author	Ya Su Shengjin Wang Yun Fu
Copyright Year	2012
Description	Author affiliation: Department of Electronic Engineering, Tsinghua University, China (Ya Su; Shengjin Wang) \|\| Department of CSE, State University of New York (SUNY), Buffalo, NY (Yun Fu)
Abstract	Extracting low-dimensional structures from high-dimensional space through spectral analysis has been prevalent in the fields of machine learning and computer vision. However, most manifold learning methods assume that there is a dominant low-dimensional manifold, while other variations are usually considered as noise or even ignored. This paper proposes a novel submanifold decomposition (SMD) algorithm, which simultaneously considers multiple submanifolds intertwined in the same high-dimensional space for decomposition. It makes full use of multi-category labels of a dataset to improve the modeling of manifolds of each label. In order to applied the proposed method to practical applications, the linear version of SMD is developed subsequently. Comparative experiments demonstrate that the proposed method not only effectively extracts submanifolds by subspace learning, but also outperforms traditional manifold and subspace learning methods for visual recognition tasks.
Starting Page	1755
Ending Page	1758
File Size	957607
Page Count	4
File Format	PDF
ISBN	9781467322164
ISSN	10514651
e-ISBN	9784990644109
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-11-11
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	ICPR Org Committee
Subject Keyword	Manifolds Principal component analysis Databases Visualization Taylor series Accuracy Covariance matrix
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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