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Geometry-Aware Similarity Learning on SPD Manifolds for Visual Recognition

文献类型：期刊论文

作者Shan, Shiguang2; Huang, Zhiwu1,2; Li, Xianqiu2; Wang, Ruiping2; Liu, Wenxian2; Chen, Xilin2; Van Gool, Luc1
刊名IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY
出版日期2018-10-01
卷号28期号:10页码:2513-2523
关键词Discriminative SPD matrices Riemannian geometry SPD manifold geometry-aware SPD similarity learning PSD manifold
ISSN号1051-8215
DOI10.1109/TCSVT.2017.2729660
英文摘要Symmetric positive definite (SPD) matrices have been employed for data representation in many visual recognition tasks. The success is mainly attributed to learning discriminative SPD matrices encoding the Riemannian geometry of the underlying SPD manifolds. In this paper, we propose a geometry-aware SPD similarity learning (SPDSL) framework to learn discriminative SPD features by directly pursuing a manifold-manifold transformation matrix of full column rank. Specifically, by exploiting the Riemannian geometry of the manifolds of fixed-rank positive semidefinite (PSD) matrices, we present a new solution to reduce optimization over the space of column full-rank transformation matrices to optimization on the PSD manifold, which has a well-established Riemannian structure. Under this solution, we exploit a new supervised SPDSL technique to learn the manifold-manifold transformation by regressing the similarities of selected SPD data pairs to their ground-truth similarities on the target SPD manifold. To optimize the proposed objective function, we further derive an optimization algorithm on the PSD manifold. Evaluations on three visual classification tasks show the advantages of the proposed approach over the existing SPD-based discriminant learning methods.
资助项目Natural Science Foundation of China[61390511] ; Natural Science Foundation of China[61379083] ; Natural Science Foundation of China[61650202] ; 973 Program[2015CB351802] ; Youth Innovation Promotion Association CAS[2015085]
WOS研究方向Engineering
语种英语
WOS记录号WOS:000448517900007
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://119.78.100.204/handle/2XEOYT63/3641]  
专题中国科学院计算技术研究所期刊论文_英文
通讯作者Wang, Ruiping
作者单位1.ETH, Swiss Fed Inst Technol, Comp Vis Lab, CH-8092 Zurich, Switzerland
2.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Shan, Shiguang,Huang, Zhiwu,Li, Xianqiu,et al. Geometry-Aware Similarity Learning on SPD Manifolds for Visual Recognition[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY,2018,28(10):2513-2523.
APA Shan, Shiguang.,Huang, Zhiwu.,Li, Xianqiu.,Wang, Ruiping.,Liu, Wenxian.,...&Van Gool, Luc.(2018).Geometry-Aware Similarity Learning on SPD Manifolds for Visual Recognition.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY,28(10),2513-2523.
MLA Shan, Shiguang,et al."Geometry-Aware Similarity Learning on SPD Manifolds for Visual Recognition".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY 28.10(2018):2513-2523.

入库方式： OAI收割

来源：计算技术研究所

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