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A Support Tensor Train Machine

Machine Learning 2018-04-18 v1 Computer Vision and Pattern Recognition Numerical Analysis Machine Learning

Abstract

There has been growing interest in extending traditional vector-based machine learning techniques to their tensor forms. An example is the support tensor machine (STM) that utilizes a rank-one tensor to capture the data structure, thereby alleviating the overfitting and curse of dimensionality problems in the conventional support vector machine (SVM). However, the expressive power of a rank-one tensor is restrictive for many real-world data. To overcome this limitation, we introduce a support tensor train machine (STTM) by replacing the rank-one tensor in an STM with a tensor train. Experiments validate and confirm the superiority of an STTM over the SVM and STM.

Keywords

Cite

@article{arxiv.1804.06114,
  title  = {A Support Tensor Train Machine},
  author = {Cong Chen and Kim Batselier and Ching-Yun Ko and Ngai Wong},
  journal= {arXiv preprint arXiv:1804.06114},
  year   = {2018}
}

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7 pages