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Adaptive Graph Constrained NMF for Semi-Supervised Learning

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8183))

Abstract

Recently, graph-based semi-supervised learning (GB-SSL) has received a lot of attentions in pattern recognition, computer vision and information retrieval. The key parts of GB-SSL are designing loss function and constructing graph. In this paper, we proposed a new semi-supervised learning method where the loss function is modeled via graph constrained non-negative matrix factorization (GCNMF). The model can effectively cooperate the precious label information and the local consistency among samples including labeled and unlabeled data. Meanwhile, an adaptive graph construction method is presented so that the selected neighbors of one sample are as similar as possible, which makes the local consistency be correctly preserved in the graph. The experimental results on real world data sets including object image, face and handwritten digit have shown the superiority of our proposed method.

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Acknowledgments

This work was supported by the Fundamental Research Funds for the Central Universities (2011JBM030, 2013JBZ005) and the National Natural Science Foundation of China (60905028, 61033013).

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Correspondence to Liping Jing .

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Li, Q., Jing, L., Yu, J. (2013). Adaptive Graph Constrained NMF for Semi-Supervised Learning. In: Zhou, ZH., Schwenker, F. (eds) Partially Supervised Learning. PSL 2013. Lecture Notes in Computer Science(), vol 8183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40705-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-40705-5_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40704-8

  • Online ISBN: 978-3-642-40705-5

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