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Zbl 1192.68509
Chen, Hong; Li, Luoqing; Peng, Jiangtao
Error bounds of multi-graph regularized semi-supervised classification.
(English)
[J] Inf. Sci. 179, No. 12, 1960-1969 (2009). ISSN 0020-0255

Summary: We investigate the generalization performance of the multi-graph regularized semi-supervised classification algorithm associated with the hinge loss. We provide estimates for the excess misclassification error of multi-graph regularized classifiers and show the relations between the generalization performance and the structural invariants of data graphs. Experiments performed on real database demonstrate the effectiveness of our theoretical analysis.
MSC 2000:
*68T05 Learning and adaptive systems
68T10 Pattern recognition

Keywords: semi-supervised learning; Tikhonov regularization; reproducing kernel Hilbert space; Rademacher complexity; graph Laplacian

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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