Abstract
This paper studies a new feature selection method for data classification that efficiently combines the discriminative capability of features with the ridge regression model. It first sets up the global structure of training data with the linear discriminant analysis that assists in identifying the discriminative features. And then, the ridge regression model is employed to assess the feature representation and the discrimination information, so as to obtain the representative coefficient matrix. The importance of features can be calculated with this representative coefficient matrix. Finally, the new subset of selected features is applied to a linear Support Vector Machine for data classification. To validate the efficiency, sets of experiments are conducted with twenty benchmark datasets. The experimental results show that the proposed approach performs much better than the state-of-the-art feature selection algorithms in terms of the evaluating indicator of classification. And the proposed feature selection algorithm possesses a competitive performance compared with existing feature selection algorithms with regard to the computational cost.
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References
Alalga, A., Benabdeslem, K., Taleb, N.: Soft-constrained laplacian score for semi-supervised multi-label feature selection. Knowl. Inf. Syst. 47(1), 75–98 (2016)
Bellal, F., Elghazel, H., Aussem, A.: A semi-supervised feature ranking method with ensemble learning. Pattern Recogn. Lett. 33(10), 1426–1433 (2012)
Borchani, H., Varando, G., Bielza, C., Larrañaga, P.: A survey on multi-output regression. Wiley Interdiscip. Rev. Data Min. Knowl. Discov. 5(5), 216–233 (2015)
Chen, L., Huang, J.Z.: Sparse reduced-rank regression for simultaneous dimension reduction and variable selection. J. Amer. Stat. Assoc. 107(500), 1533–1545 (2012)
Cheng, D., Zhang, S., Liu, X., Sun, K., Zong, M.: Feature selection by combining subspace learning with sparse representation. Multimed. Syst. 23(3), 1–7 (2017)
Deng, Z., Zhu, X., Cheng, D., Zong, M., Zhang, S.: Efficient k nn classification algorithm for big data. Neurocomputing 195(C), 143–148 (2016)
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern classification. Wiley, New Jersey (2012)
Gao, L., Song, J., Liu, X., Shao, J., Liu, J., Shao, J.: Learning in high-dimensional multimedia data: the state of the art. Multimed. Syst. 23(3), 303–313 (2017)
Gao, L., Wang, Y., Li, D., Shao, J., Song, J.: Real-time social media retrieval with spatial, temporal and social constraints. Neurocomputing 253, 77–88 (2017)
Germain, F.G., Mysore, G.J.: Stopping criteria for non-negative matrix factorization based supervised and semi-supervised source separation. IEEE Signal Process. Lett. 21(10), 1284–1288 (2014)
Gu, Q., Li, Z., Han, J.: Generalized fisher score for feature selection. arXiv:1202.3725 (2012)
Guo, Q., Wu, W., Massart, D., Boucon, C., De Jong, S.: Feature selection in principal component analysis of analytical data. Chemometr. Intell. Lab. Syst. 61 (1), 123–132 (2002)
He, X., Cai, D., Niyogi, P.: Laplacian score for feature selection. In: Advances in Neural Information Processing Systems, pp. 507–514 (2005)
Hu, R., Zhu, X., Cheng, D., He, W., Yan, Y., Song, J., Zhang, S.: Graph self-representation method for unsupervised feature selection. Neurocomputing 220, 130–137 (2017)
Huang, H., Feng, H., Peng, C.: Complete local fisher discriminant analysis with laplacian score ranking for face recognition. Neurocomputing 89, 64–77 (2012)
Izenman, A.J.: Linear discriminant analysis. In: Modern Multivariate Statistical Techniques, pp. 237–280. Springer, Berlin (2013)
Li, Z., Yang, Y., Liu, J., Zhou, X., Lu, H., et al.: Unsupervised feature selection using nonnegative spectral analysis. AAAI 2, 1026–1032 (2012)
Liu, B., Fang, B., Liu, X., Chen, J., Huang, Z., He, X.: Large margin subspace learning for feature selection. Pattern Recogn. 46(10), 2798–2806 (2013)
Ng, A.Y.: Feature selection, l 1 vs. l 2 regularization, and rotational invariance. In: Proceedings of the Twenty-first International Conference on Machine Learning, p 78. ACM (2004)
Nie, F., Huang, H., Cai, X., Ding, C.H.: Efficient and robust feature selection via joint l 2,1-norms minimization. In: Advances in Neural Information Processing Systems, pp. 1813–1821 (2010)
Peng, X., Yu, Z., Yi, Z., Tang, H.: Constructing the l2-graph for robust subspace learning and subspace clustering. IEEE Trans. Cybern. 47(4), 1053–1066 (2017)
Pierre, C.: Semi-supervised feature selection via spectral analysis (2007)
Qin, Y., Zhang, S., Zhu, X., Zhang, J., Zhang, C.: Semi-parametric optimization for missing data imputation. Appl. Intell. 27(1), 79–88 (2007)
Song, J., Gao, L., Nie, F., Shen, H.T., Yan, Y., Sebe, N.: Optimized graph learning using partial tags and multiple features for image and video annotation. IEEE Trans. Image Process. 25(11), 4999–5011 (2016)
Song, J., Gao, L., Zou, F., Yan, Y., Sebe, N.: Deep and fast: Deep learning hashing with semi-supervised graph construction. Image Vis. Comput. 55, 101–108 (2016)
Song, J., Shen, H.T., Wang, J., Huang, Z., Sebe, N., Wang, J.: A distance-computation-free search scheme for binary code databases. IEEE Trans. Multimed. 18(3), 484–495 (2016)
Song, J., Yang, Y., Huang, Z., Shen, H.T., Luo, J.: Effective multiple feature hashing for large-scale near-duplicate video retrieval. IEEE Trans. Multimed. 15(8), 1997–2008 (2013)
Trivedi, S., Pardos, Z.A., Heffernan, N.T.: Clustering students to generate an ensemble to improve standard test score predictions. In: International Conference on Artificial Intelligence in Education, pp. 377–384. Springer (2011)
Wang, L., Zhu, J., Zou, H.: Hybrid huberized support vector machines for microarray classification. In: Proceedings of the 24th International Conference on Machine Learning, pp. 983–990. ACM, New York (2007)
Wang, S., Nie, F., Chang, X., Yao, L., Li, X., Sheng, Q.Z.: Unsupervised feature analysis with class margin optimization. In: Joint European Conference on Machine Learning and Knowledge Discovery in Databases, pp. 383–398. Springer, Berlin (2015)
Ye, J.: Least squares linear discriminant analysis. In: Proceedings of the 24th international conference on Machine learning, pp. 1087–1093. ACM, New York (2007)
Zeng, Z., Wang, X., Zhang, J., Wu, Q.: Semi-supervised feature selection based on local discriminative information. Neurocomputing 173(P1), 102–109 (2016)
Zhang, S.: Shell-neighbor method and its application in missing data imputation. Appl. Intell. 35(1), 123–133 (2011)
Zhang, S., Jin, Z., Zhu, X.: Missing data imputation by utilizing information within incomplete instances. J. Syst. Softw. 84(3), 452–459 (2011)
Zhang, S., Li, X., Zong, M., Zhu, X., Cheng, D.: Learning k for knn classification. ACM Trans. Intell. Syst. Technol. 8(3), 43 (2017)
Zhang, S., Li, X., Zong, M., Zhu, X., Wang, R.: Efficient knn classification with different numbers of nearest neighbors. IEEE Transactions on Neural Networks and Learning Systems (2017). http://dx.doi.org/https://doi.org/10.1109/TNNLS.2017.2673241
Zhu, P., Zuo, W., Zhang, L., Hu, Q., Shiu, S.C.: Unsupervised feature selection by regularized self-representation. Pattern Recogn. 48(2), 438–446 (2015)
Zhu, X., Huang, Z., Shen, H.T., Zhao, X.: Linear cross-modal hashing for efficient multimedia search. In: ACM MM, pp. 143–152 (2013)
Zhu, X., Huang, Z., Yang, Y., Shen, H.T., Xu, C., Luo, J.: Self-taught dimensionality reduction on the high-dimensional small-sized data. Pattern Recogn. 46 (1), 215–229 (2013)
Zhu, X., Li, X., Zhang, S.: Block-row sparse multiview multilabel learning for image classification. IEEE Trans. Cybern. 46(2), 450–461 (2016)
Zhu, X., Li, X., Zhang, S., Ju, C., Wu, X.: Robust joint graph sparse coding for unsupervised spectral feature selection. IEEE Trans. Neural Netw. Learn. Syst. 28 (6), 1263–1275 (2017)
Zhu, X., Li, X., Zhang, S., Xu, Z., Yu, L., Wang, C.: Graph pca hashing for similarity search. IEEE Transactions on Multimedia (2017). https://doi.org/10.1109/TMM.2017.2703636
Zhu, X., Suk, H., Wang, L., Lee, S., Shen, D.: A novel relational regularization feature selection method for joint regression and classification in AD diagnosis. Med. Image Anal. 38, 205–214 (2017)
Zhu, X., Suk, H.-I., Huang, H., Shen, D.: Low-rank graph-regularized structured sparse regression for identifying genetic biomarkers. IEEE Transactions on Big Data (2017). https://doi.org/10.1109/TBDATA.2017.2735991
Zhu, X., Suk, H.-I., Lee, S.-W., Shen, D.: Subspace regularized sparse multitask learning for multiclass neurodegenerative disease identification. IEEE Trans. Biomed. Eng. 63(3), 607–618 (2016)
Zhu, X., Suk, H.-I., Shen, D.: A novel matrix-similarity based loss function for joint regression and classification in ad diagnosis. NeuroImage 100, 91–105 (2014)
Zhu, X., Zhang, L., Huang, Z.: A sparse embedding and least variance encoding approach to hashing. IEEE Trans. Image Process. 23(9), 3737–3750 (2014)
Zhu, Y., Lucey, S.: Convolutional sparse coding for trajectory reconstruction. IEEE Trans. Pattern Anal. Mach. Intell. 37(3), 529–540 (2015)
Zhu, Y., Zhu, X., Kim, M., Shen, D., Wu, G.: Early diagnosis of alzheimers disease by joint feature selection and classification on temporally structured support vector machine. In: International Conference on Medical Image Computing and Computer-Assisted Intervention, pp. 264–272 (2016)
Acknowledgments
This work was supported in part by the China Key Research Program (Grant No: 2016YFB1000905), the Nation Natural Science Foundation of China (Grants No: 61573270, 61672177, and 61363009), National Association of public funds, the Guangxi Natural Science Foundation (Grant No: 2015GXNSFCB139011), the Guangxi High Institutions Program of Introducing 100 High-Level Overseas Talents, the Guangxi Collaborative Innovation Center of Multi-Source Information Integration and Intelligent Processing, the Research Fund of Guangxi Key Lab of MIMS (16-A-01-01 and 16-A-01-02), and the Guangxi Bagui Teams for Innovation and Research.
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This article belongs to the Topical Collection: Special Issue on Deep Mining Big Social Data
Guest Editors: Xiaofeng Zhu, Gerard Sanroma, Jilian Zhang, and Brent C. Munsell
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Zhang, S., Cheng, D., Hu, R. et al. Supervised feature selection algorithm via discriminative ridge regression. World Wide Web 21, 1545–1562 (2018). https://doi.org/10.1007/s11280-017-0502-9
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DOI: https://doi.org/10.1007/s11280-017-0502-9