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Multiple Cayley-Klein metric learning
Bi, Yanhong1,2; Fan, Bin1; Wu, Fuchao1; Bin Fan
Source PublicationPLOS ONE
2017-09-21
Volume12Issue:9Pages:1-15
SubtypeArticle
AbstractAs a specific kind of non-Euclidean metric lies in projective space, Cayley-Klein metric has been recently introduced in metric learning to deal with the complex data distributions in computer vision tasks. In this paper, we extend the original Cayley-Klein metric to the multiple Cayley-Klein metric, which is defined as a linear combination of several Cayley-Klein metrics. Since Cayley-Klein is a kind of non-linear metric, its combination could model the data space better, thus lead to an improved performance. We show how to learn a multiple Cayley-Klein metric by iterative optimization over single Cayley-Klein metric and their combination coefficients under the objective to maximize the performance on separating interclass instances and gathering intra-class instances. Our experiments on several benchmarks are quite encouraging.
KeywordMetric Learning Cayley-klein Metric
WOS HeadingsScience & Technology
DOI10.1371/journal.pone.0184865
WOS KeywordNEAREST-NEIGHBOR CLASSIFICATION ; VERIFICATION
Indexed BySCI
Language英语
Funding OrganizationNational Natural Science Foundation of China(61375043 ; 61472119 ; 61672032)
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000411339900053
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/19695
Collection模式识别国家重点实验室_机器人视觉
Corresponding AuthorBin Fan
Affiliation1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Bi, Yanhong,Fan, Bin,Wu, Fuchao,et al. Multiple Cayley-Klein metric learning[J]. PLOS ONE,2017,12(9):1-15.
APA Bi, Yanhong,Fan, Bin,Wu, Fuchao,&Bin Fan.(2017).Multiple Cayley-Klein metric learning.PLOS ONE,12(9),1-15.
MLA Bi, Yanhong,et al."Multiple Cayley-Klein metric learning".PLOS ONE 12.9(2017):1-15.
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