Title: Multiple Cayley-Klein Metric Learning
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| Authors: Bi, YH; Fan, B; Wu, FC
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| Author Full Names: Bi, Yanhong; Fan, Bin; Wu, Fuchao
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| Source: PLOS ONE, 12 (9):10.1371/journal.pone.0184865 SEP 21 2017
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| Language: English
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| Abstract: As 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.
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| ISSN: 1932-6203
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| Article Number: e0184865
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| IDS Number: FH7CN
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| Unique ID: WOS:000411339900053
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| PubMed ID: 28934244
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