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Error bounds of multi-graph regularized semi-supervised classification
Authors:Hong Chen  Jiangtao Peng
Affiliation:a Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China
b Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China
Abstract:In this paper, 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.
Keywords:Semi-supervised learning   Tikhonov regularization   Reproducing kernel Hilbert space   Rademacher complexity   Graph Laplacian
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