Skip to main content
Log in

TWin support tensor machines for MCs detection

  • Published:
Journal of Electronics (China)

Abstract

Tensor representation is useful to reduce the overfitting problem in vector-based learning algorithm in pattern recognition. This is mainly because the structure information of objects in pattern analysis is a reasonable constraint to reduce the number of unknown parameters used to model a classifier. In this paper, we generalize the vector-based learning algorithm TWin Support Vector Machine (TWSVM) to the tensor-based method TWin Support Tensor Machines (TWSTM), which accepts general tensors as input. To examine the effectiveness of TWSTM, we implement the TWSTM method for Microcalcification Clusters (MCs) detection. In the tensor subspace domain, the MCs detection procedure is formulated as a supervised learning and classification problem, and TWSTM is used as a classifier to make decision for the presence of MCs or not. A large number of experiments were carried out to evaluate and compare the performance of the proposed MCs detection algorithm. By comparison with TWSVM, the tensor version reduces the overfitting problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Wei, Y. Yang, R. M. Nishikawa, et al. A study on several machine learning methods for classification of malignant and benign clustered microcalcifications. IEEE Transactions on Medical Imaging, 24(2005)3, 371–380.

    Article  Google Scholar 

  2. D. Tao, X. Li, X. Wu, et al. Supervised tensor learning. Knowledge and Information Systems, 13(2007)1, 1–42.

    Article  Google Scholar 

  3. X. He, D. Cai, and P. Niyogi. Tensor subspace analysis. Nineteenth Annual Conference on Neural Information Processing Systems, Vancouver and Whistler, BC, Canada, 2005, Vol.18, 499–506.

    Google Scholar 

  4. L. Wei, Y. Yang, R. M. Nishikawa, et al. Relevance vector machine for automatic detection of clustered microcalcifications. IEEE Transactions on Medical Imaging, 24(2005)10, 1278–1285.

    Article  Google Scholar 

  5. I. El-Naqa, Y. Yang, M. N. Wernick, et al. A support vector machine approach for detection of microcalcifications. IEEE Transactions on Medical Imaging, 21 (2002)12, 1552–1563.

    Article  Google Scholar 

  6. H. Lu, K. N. Plataniotis, and A. N. Venetsanopoulos. MPCA: Multilinear principal component analysis of tensor objects. IEEE Transactions on Neural Networks, 19(2008)1, 18–39.

    Article  Google Scholar 

  7. Y. Fu and T. S. Huang. Image classification using correlation tensor analysis. IEEE Transactions on Image Processing, 17(2008)2, 226–234.

    Article  MathSciNet  Google Scholar 

  8. S. Yan, D. Xu, Q. Yang, et al. Multilinear discriminant analysis for face recognition. IEEE Transactions on Image Processing, 16(2007)1, 212–220.

    Article  MathSciNet  Google Scholar 

  9. D. Tao, X. Li, X. Wu, et al. General tensor discriminant analysis and gabor features for gait recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence, 29(2007)10, 1700–1715.

    Article  Google Scholar 

  10. R. Khemchandani Jayadeva and S. Chandra. Twin support vector machines for pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence, 29(2007)5, 905–910.

    Article  Google Scholar 

  11. M. Heath, K. Bowyer, D. Kopans, et al. The digital database for screening mammography. IWDM’2000 (5th International Workshop on Digital Mammography), Toronto, Canada, 2000, 212–218.

  12. J. K. Kim, J. M. Park, K. S. Song, et al. Adaptive mammographic image enhancement using first derivative and local statistics. IEEE Transactions on Medical Imaging, 16(1997)5, 495–502.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xinsheng Zhang.

Additional information

Supported by the National Natural Science Foundation of China (No. 60771068) and the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2007F248).

Communication author: Zhang Xinsheng, born in 1978, male, Ph.D. candidate.

About this article

Cite this article

Zhang, X., Gao, X. & Wang, Y. TWin support tensor machines for MCs detection. J. Electron.(China) 26, 318–325 (2009). https://doi.org/10.1007/s11767-007-0211-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11767-007-0211-0

Key words

CLC index

Navigation