Abstract
During the past few years, face recognition technique has received significant attention in the fields of computer vision, neuroscience, psychology and others. The robust face recognition casts the problem as an \(\ell _1\)-minimization problem to find a sparse representation of the test image in terms of the training set. The main purpose of this paper is to firstly construct an \(\ell _1\)-\(\ell _1\)-minimization model and secondly be solved via a generalized alternating direction method of multipliers. Most importantly, the model proposed therein contains an adaptive correction term to get sparse representation with higher accuracy. Extensive experiments on the simulated data verify that the proposed method is effective.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Wen, X., Shao, L., Xue, Y., et al.: A rapid learning algorithm for vehicle classification. Inf. Sci. 295, 395–406 (2015)
Xie, S., Wang, Y.: Construction of tree network with limited delivery latency in homogeneous wireless sensor networks. Wirel. Pers. Commun. 78, 231–246 (2014)
Zheng, Y., Jeon, B., Xu, D., et al.: Image segmentation by generalized hierarchical fuzzy C-means algorithm. J. Fuzzy Syst. 28, 961–973 (2015)
Li, J., Li, X., Yang, B., Sun, X.: Segmentation-based image copy-move forgery detection scheme. IEEE Trans. Inf. Forensics Secur. 10, 507–518 (2015)
Xia, Z., Wang, X., Sun, X., Wang, Q.: A secure and dynamic multi-keyword ranked search scheme over encrypted cloud data. IEEE Trans. Parallel Distrib. 27, 340–352 (2015)
Gu, B., Sun, X., Sheng, V.S.: Structural minimax probability machine. IEEE Trans. Neural Netw. Learn. Syst. 28(7), 1646–1656 (2017)
Xia, Z., Wang, X., Sun, X., Liu, Q., Xiong, N.: Steganalysis of LSB matching using differences between nonadjacent pixels. Multimed. Tools Appl. 75, 1947–1962 (2016)
Chen, B.J., Shu, H.Z., Coatrieux, G., Chen, G., et al.: Color image analysis by quaternion-type moments. J. Math. Imaging Vis. 51, 124–144 (2015)
Wright, J., Yang, A., Ganesh, A., Sastry, S., Ma, Y.: Robust face recognition via sparse representation. IEEE Trans. Pattern Anal. 31, 210–227 (2009)
Yang, J., Zhang, Y.: Alternating direction algorithms for \(\ell _1\)-problems in compressive sensing. SIAM J. Sci. Comput. 33, 250–278 (2011)
Xiao, Y.H., Zhu, H., Wu, S.Y.: Primal and dual alternating direction algorithms for \(\ell _1\)-\(\ell _1\)-norm minimization problems in compressive sensing. Comput. Optim. Appl. 54, 441–459 (2013)
Chen, Y.D., Hao, C.Y., Wu, W., et al.: Robust dense reconstruction by range merging based on confidence estimation. Sci. China Inf. Sci. 59, 1–11 (2016)
Gu, B., Sheng, V.S.: A robust regularization path algorithm for \(\nu \)-support vector classification. IEEE Trans. Neural Netw. Learn. Syst. 28, 1241–1248 (2017)
Xiao, Y.H., Chen, L., Li, D.: A Generalized Alternating Direction Method of Multipliers with Semi-proximal Terms for Convex Composite Conic Programming (Unpublished)
Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)
Eckstein, J., Bertsekas, D.P.: On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. Math. Program. 55, 293–318 (1992)
Chen, C.: Numerical algorithms for a class of matrix norm approximation problems. Ph.D. thesis, Department of Mathematics, Nanjing University, Nanjing, China (2012). http://www.math.nus.edu.sg/~matsundf/Thesis_Caihua.pdf
Miao, W., Pan, S., Sun, D.F.: A rank-corrected procedure for matrix completion with fixed basis coefficients. Math. Program. Ser. A. 159, 289–338 (2016)
Acknowledgments
The research of Y. Xiao was supported by the National Science Foundation of China (Grant No. 11471101).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Wu, C., Xiao, Y., Liu, WJ. (2017). Robust Face Recognition Model with Adaptive Correction Term via Generalized Alternating Direction Method of Multipliers. In: Sun, X., Chao, HC., You, X., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2017. Lecture Notes in Computer Science(), vol 10603. Springer, Cham. https://doi.org/10.1007/978-3-319-68542-7_79
Download citation
DOI: https://doi.org/10.1007/978-3-319-68542-7_79
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68541-0
Online ISBN: 978-3-319-68542-7
eBook Packages: Computer ScienceComputer Science (R0)