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arXiv · 1410.6990

Local Rademacher Complexity for Multi-label Learning

Chang Xu·Tongliang Liu·Dacheng Tao·Chao Xu
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Abstract

We analyze the local Rademacher complexity of empirical risk minimization (ERM)-based multi-label learning algorithms, and in doing so propose a new algorithm for multi-label learning. Rather than using the trace norm to regularize the multi-label predictor, we instead minimize the tail sum of the singular values of the predictor in multi-label learning. Benefiting from the use of the local Rademacher complexity, our algorithm, therefore, has a sharper generalization error bound and a faster convergence rate. Compared to methods that minimize over all singular values, concentrating on the tail singular values results in better recovery of the low-rank structure of the multi-label predictor, which plays an import role in exploiting label correlations. We propose a new conditional singular value thresholding algorithm to solve the resulting objective function. Empirical studies on real-world datasets validate our theoretical results and demonstrate the effectiveness of the proposed algorithm.

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Chang Xu, Tongliang Liu, Dacheng Tao, Chao Xu. 2014-10-26. Local Rademacher Complexity for Multi-label Learning. https://arxiv.org/abs/1410.6990

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