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Mixed Norm Regularized Discrimination for Image Steganalysis

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Abstract

The purpose of image steganalysis is to detect the presence of hidden messages in cover images. Steganalysis can be considered as a pattern recognition process to decide which class a test image belongs to: the innocent photographic image or the stego-image. This paper presents a definition of mixed \(L_{p,q}\) matrix norm as an extension of \(L_{2,1}\) matrix norm. We incorporate discriminative mixed \(L_{p,q}\) matrix norm analysis to select the features which best preserve the data distribution, e.g., manifold structure, of the whole feature sets. Experiments on different data sets verify the effectiveness of the proposed approach and the selected features are more discriminate.

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References

  1. Shi, Y., Xuan, G., Yang, C., Gao, J., Zhang, Z., Chai, P., Zou, D., Chen, C., & Chen, W. Effective steganalysis based on statistical moments of wavelet characteristic function. In Proceedings of IEEE international conference on Information Technology: Coding and computing (ITCC) (Vol. 1, pp. 768–773).

  2. Hou, C. P., Nie, F. P., Li, X. L., Yi, D. Y., & Wu, Y. (2014). Joint embedding learning and sparse regression: A framework for unsupervised feature selection. IEEE Transactions on Cybernetics, 44(6), 793–804.

    Article  Google Scholar 

  3. Yan, H., Jin, Z., & Yang, J. (2014). Sparse representation preserving for unsupervised feature selection. In International conference on pattern recognition, 2014 (pp. 1574–1578).

  4. Du, L., Shen, Z. Y., Li, X., Zhou, P., Shen, Y. D. (2013). Local and global discriminative learning for unsupervised feature selection. In International conference on data mining, 2013 (pp. 131–140).

  5. Shi, C. J., Ruan, Q. Q., An, G. Y., & Zhao, R. Z. (2015). Hessian Semi-supervised sparse feature selection based on \(L_{2,1/2}\) matrix norm. IEEE Transactions on Multimedia, 17(1), 16–28.

    Article  Google Scholar 

  6. Wen, J. J., Lai, Z. H., Wong, W. K., Cui, J. R., Wan, M. H. (2014). Optimal feature selection for robust classification via \(l_{2,1}\) norms regularization. In International conference on pattern recognition (pp. 517–521).

  7. Yu, L. B., Zhang, M., Ding, M. (2012). An efficient algorithm for \(L_{1}\) norm principal component analysis. In IEEE International conference on acoustics, speech and signal processing (pp. 1377–1380).

  8. He, R., Tan, T. N., Wang, L., Zheng, W. S. (2012). \(L_{2,1}\) Regularized correntropy for robust feature selection. In IEEE conference on computer vision and pattern recognition (CVPR) (pp. 2504–2511).

  9. Wang, L. P., Chen, S. C. (2013). \(l_{2,p}\) Matrix norm and its application in feature selection. In IEEE computer vision and pattern recognition.

  10. Rakotomamonjy, A., Flamary, R., Gasso, G., & Canu, S. (2011). lp − lq penalty for sparse linear and sparse multiple kernel multitask learning. IEEE Transactions on Neural Networks, 22(8), 1307–1320.

    Article  Google Scholar 

  11. Gramfort, A., Kowalski, M., & Hamalainen, M. (2012). Mixed-norm estimates for the M/EEG inverse problem using accelerated gradient methods. Physics in Medicine and Biology, 57(7), 37–61.

    Article  Google Scholar 

  12. Yang, Y., Shen, H., Ma, Z., Huang, Z., Zhou, X. (2011). L2,1-norm regularized discriminative feature selection for unsupervised learning. In International joint conferences on artificial intelligence (pp. 1589–1594).

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Acknowledgments

This work is partially supported by National Natural Science Foundation of China (Nos. 61370186, 61100170), Appropriative Researching Fund for Professors and Doctors, Guangdong University of Education (2013ARF03), Provincial research personnel fostered by Guangdong Province in the Thousand, Hundred and Ten Project, Guangdong Modern Information Service Industry Develop Particularly item (No. GDEID2011IS064), Fundamental Research Funds for the Central Universities (No. 12lgpy37), Ministry of education and China Mobile Research Fund (No. MCM20121051), Science and Technology Application Foundation Program of Guangzhou (No. 2014J4100032).

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Correspondence to Guoming Chen.

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Chen, G., Chen, Q. & Zhang, D. Mixed Norm Regularized Discrimination for Image Steganalysis. Sens Imaging 16, 17 (2015). https://doi.org/10.1007/s11220-015-0120-5

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