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Extrinsic Least Squares Regression with Closed-Form Solution on Product Grassmann Manifold for Video-Based Recognition
Joint Authors
Yin, Baocai
Kong, Dehui
Wang, Lichun
Wang, Yuping
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Least squares regression is a fundamental tool in statistical analysis and is more effective than some complicated models with small number of training samples.
Representing multidimensional data with product Grassmann manifold has recently led to notable results in various visual recognition tasks.
This paper proposes extrinsic least squares regression with Projection Metric on product Grassmann manifold by embedding Grassmann manifold into the space of symmetric matrices via an isometric mapping.
The proposed regression has closed-form solution which is more accurate compared with numerical solution of previous least squares regression using geodesic distance.
Experiments on several recognition tasks show that the proposed method achieves considerable accuracy in comparison with some state-of-the-art methods.
American Psychological Association (APA)
Wang, Yuping& Wang, Lichun& Kong, Dehui& Yin, Baocai. 2018. Extrinsic Least Squares Regression with Closed-Form Solution on Product Grassmann Manifold for Video-Based Recognition. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1208503
Modern Language Association (MLA)
Wang, Yuping…[et al.]. Extrinsic Least Squares Regression with Closed-Form Solution on Product Grassmann Manifold for Video-Based Recognition. Mathematical Problems in Engineering No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1208503
American Medical Association (AMA)
Wang, Yuping& Wang, Lichun& Kong, Dehui& Yin, Baocai. Extrinsic Least Squares Regression with Closed-Form Solution on Product Grassmann Manifold for Video-Based Recognition. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1208503
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208503