Face recognition based on subset selection via metric learning on manifold
Hong SHAO1,Shuang CHEN1,*(),Jie-yi ZHAO2,Wen-cheng CUI1,Tian-shu YU3
1. 1School of Information Science and Engineering, Shenyang University of Technology, Shenyang 110870, China 2. 2The University of Texas Health Science Center at Houston, Houston 77030, USA 3. 3Schulich School of Engineering, University of Calgary, Calgary T2N 1N4, Canada
With the development of face recognition using sparse representation based classification (SRC), many relevant methods have been proposed and investigated. However, when the dictionary is large and the representation is sparse, only a small proportion of the elements contributes to the l1-minimization. Under this observation, several approaches have been developed to carry out an efficient element selection procedure before SRC. In this paper, we employ a metric learning approach which helps find the active elements correctly by taking into account the interclass/intraclass relationship and manifold structure of face images. After the metric has been learned, a neighborhood graph is constructed in the projected space. A fast marching algorithm is used to rapidly select the subset from the graph, and SRC is implemented for classification. Experimental results show that our method achieves promising performance and significant efficiency enhancement.
. [J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(12): 1046-1058.
Hong SHAO,Shuang CHEN,Jie-yi ZHAO,Wen-cheng CUI,Tian-shu YU. Face recognition based on subset selection via metric learning on manifold. Front. Inform. Technol. Electron. Eng, 2015, 16(12): 1046-1058.
Arandjelović, O., Shakhnarovich, G., Fisher, J., et al., 2005. Face recognition with image sets using manifold density divergence. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, p.581–588
https://doi.org/10.1109/CVPR.2005.151
2
Belkin, M., Niyogi, P., 2001. Laplacian eigenmaps and spectral techniques for embedding and clustering. NIPS,14:585 591.
3
Candes, E.J., 2008. The restricted isometry property and its implications for compressed sensing. Compt. Rend. Math., 346(9-10):589–592
https://doi.org/10.1016/j.crma.2008.03.014
4
Candes, E.J., Tao, T., 2007. The Dantzig selector: statistical estimation when p is much larger than n. Ann. Stat.,35(6):2313-2351
https://doi.org/10.1214/009053606000001523
Georghiades, A.S., Belhumeur, P.N., Kriegman, D., 2001. From few to many: illumination cone models for face recognition under variable lighting and pose. IEEE Trans. Patt. Anal. Mach. Intell., 23(6):643–660
https://doi.org/10.1109/34.927464
8
He, R., Zheng, W.S., Hu, B.G., 2011. Maximum correntropy criterion for robust face recognition. IEEE Trans. Patt. Anal. Mach. Intell., 33(8):1561-1576
https://doi.org/10.1109/TPAMI.2010.220
9
He, R., Zheng, W.S., Hu, B.G., et al., 2013. Two-stage nonnegative sparse representation for large-scale face recognition. IEEE Trans. Neur. Netw. Learn. Syst., 24(1):35–46
https://doi.org/10.1109/TNNLS.2012.2226471
10
He, R., Zheng, W.S., Tan, T.N., et al., 2014. Half-quadraticbased iterative minimization for robust sparse representation. IEEE Trans. Patt. Anal. Mach. Intell., 36(2):261–275
https://doi.org/10.1109/TPAMI.2013.102
11
Jiang, Z.L., Lin, Z., Davis, L.S., 2011. Learning a discriminative dictionary for sparse coding via label consistent K-SVD. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, p.1697–1704
https://doi.org/10.1109/CVPR.2011.5995354
12
Lai, Z.H., Li, Y.J., Wan, M.H., et al., 2013. Local sparse representation projections for face recognition. Neur. Comput. Appl., 23(7):2231–2239
https://doi.org/10.1007/s00521-012-1174-0
Lu, J.W., Tan, Y.P., Wang, G., 2013. Discriminative multimanifold analysis for face recognition from a single training sample per person. IEEE Trans. Patt. Anal. Mach. Intell., 35(1):39–51
https://doi.org/10.1109/TPAMI.2012.70
15
Martinez, A., Benavente, B., 1998. The AR Face Database. CVC Technical Report 24.
Tenenbaum, J.B., de Silva, V., Langford, J.C., 2000. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319–2323
https://doi.org/10.1126/science.290.5500.2319
23
Tibshirani, R., 1996. Regression shrinkage and selection via the lasso. J. R. Stat. Soc. Ser. B, 58(1):267–288.
Wagner, A., Wright, J., Ganesh, A., et al., 2012. Toward a practical face recognition system: robust alignment and illumination by sparse representation. IEEE Trans. Patt. Anal. Mach. Intell., 34(2):372–386
https://doi.org/10.1109/TPAMI.2011.112
26
Wang, L.F., Wu, H.Y., Pan, C.H., 2015. Manifold regularized local sparse representation for face recognition. IEEE Trans. Circ. Syst. Video Technol., 25(4): 651–659
https://doi.org/10.1109/TCSVT.2014.2335851
27
Wang, R.P., Shan, S.G., Chen, X.L., et al., 2008. Manifoldmanifold distance with application to face recognition based on image set. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, p.1–8
https://doi.org/10.1109/CVPR.2008.4587719
28
Weinberger, K.Q., Saul, L.K., 2009. Distance metric learning for large margin nearest neighbor classification. J. Mach. Learn. Res., 10:207–244
https://doi.org/10.1145/1577069.1577078
29
Wright, J., Yang, A.Y., Ganesh, A., et al., 2009. Robust face recognition via sparse representation. IEEE Trans. Patt. Anal. Mach. Intell., 31(2):210–227
https://doi.org/10.1109/TPAMI.2008.79
30
Xu, Y., Zuo, W.M., Fan, Z.Z., 2012. Supervised sparse representation method with a heuristic strategy and face recognition experiments. Neurocomputing, 79:125–131
https://doi.org/10.1016/j.neucom.2011.10.013
31
Xu, Y., Zhu, Q., Fan, Z.Z., et al., 2013. Using the idea of the sparse representation to perform coarse-to-fine face recognition. Inform. Sci., 238:138–148
https://doi.org/10.1016/j.ins.2013.02.051
32
Yang, M., Zhang, L., 2010. Gabor feature based sparse representation for face recognition with gabor occlusion dictionary. Proc. 11th European Conf. on Computer Vision, p.448–461
https://doi.org/10.1007/978-3-642-15567-3_33
33
Yang, M., Zhang, D., Yang, J., 2011. Robust sparse coding for face recognition. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, p.625–632
https://doi.org/10.1109/CVPR.2011.5995393
34
Yu, Z.P., Wu, Z.D., Zhang, J.W., 2013. An illumination robust algorithm for face recognition via SRC and Gradientfaces. Proc. 2nd Int. Conf. on Innovative Computing and Cloud Computing, p.36–40
https://doi.org/10.1145/2556871.2556880
35
Zhang, D., Yang, M., Feng, X.C., 2011. Sparse representation or collaborative representation: which helps face recognition? Proc. IEEE Int. Conf. on Computer Vision, p.471–478
https://doi.org/10.1109/ICCV.2011.6126277
36
Zhang, Q., Li, B.X., 2010. Discriminative K-SVD for dictionary learning in face recognition. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, p.2691–2698
https://doi.org/10.1109/CVPR.2010.5539989
37
Zhou, T.Y., Tao, D.C., Wu, X.D., 2011. Manifold elastic net: a unified framework for sparse dimension reduction. Data Min. Knowl. Discov., 22(3):340–371
https://doi.org/10.1007/s10618-010-0182-x