© The Institution of Engineering and Technology
Face verification is a problem approached in the literature mainly using non-linear class-specific subspace learning techniques. While it has been shown that kernel-based class-specific discriminant analysis is able to provide excellent performance in small- and medium-scale face verification problems, its application in today's large-scale problems is difficult due to its training space and computational requirements. In this study, generalising on kernel-based class-specific discriminant analysis, it is shown that class-specific subspace learning can be cast as a regression problem. This allows them to derive linear, (reduced) kernel and neural network-based class-specific discriminant analysis methods using efficient batch and/or iterative training schemes, suited for large-scale learning problems. The authors test the performance of these methods in two datasets describing medium- and large-scale face verification problems.
References
-
-
1)
-
18. Lee, Y., Huang, S.: ‘Reduced support vector machines: a statistical theory’, IEEE Trans. Neur. Netw., 2007, 18, (1), pp. 1–13.
-
2)
-
10. Baudat, G., Anouar, F.: ‘Generalized discriminant analysis using a kernel approach’, Neural Comput., 2000, 12, pp. 2385–2404.
-
3)
-
5. Duda, R., Hart, P., Stork, D.: ‘Pattern classification’ (Wiley-Interscience, 2000, 2nd edn.).
-
4)
-
17. Drineas, P., Mahoney, M.: ‘On the Nyström method for approximating a gram matrix for improved kernel-based learning’, J. Mach. Learn. Res., 2005, 6, pp. 2153–2275.
-
5)
-
7. Ye, J.: ‘Least squares linear discriminant analysis’. In Proceedings of the 24th international conference on Machine learning, June 2007, (ACM) pp. 1087–1093.
-
6)
-
13. Goudelis, G., Zafeiriou, S., Tefas, A., et al: ‘Class-specific kernel discriminant analysis for face verification’, IEEE Trans. Inf. Forensics Sec., 2007, 2, (3), pp. 570–587.
-
7)
-
28. Tang, E.K., Suganthan, P.N., Yao, X., et al: ‘Linear dimensionality reduction using relevance weighted LDA’, Pattern Recognit., 2005, 38, (4), pp. 485–493.
-
8)
-
26. Schölkopf, B., Smola, A.J.: ‘Learning with kernels: support vector machines, regularization, optimization, and beyond’ (MIT Press, 2001), .
-
9)
-
21. Iosifidis, A., Gabbouj, M.: ‘Prototype-based class-specific nonlinear subspace learning for large-scale face verification’. Int. Conf. Image Processing Theory, Tools and Applications, 2016.
-
10)
-
9. Iosifidis, A., Tefas, A., Pitas, I.: ‘On the optimal class representation in linear discriminant analysis’, IEEE Trans. Neural Netw. Learn. Syst., 2003, 24, (9), pp. 1491–1497.
-
11)
-
1. Barr, P., Noble, J., Biddle, R.: ‘Video game values: human-computer interaction and games’, Interact. Comput., 2011, 19, (2), pp. 180–195.
-
12)
-
3. Iosifidis, A., Tefas, A., Pitas, I.: ‘Activity based person identification using fuzzy representation and discriminant learning’, IEEE Trans. Inf. Forensics Sec., 2012, 7, (2), pp. 530–542.
-
13)
-
19. Iosifidis, A., Gabbouj, M.: ‘Scaling up class-specific kernel discriminant analysis for large-scale face verification’, IEEE Trans. Inf. Forensics. Sec., 2016, 11, (11), pp. 2453–2465.
-
14)
-
24. Cao, G., Iosifidis, A., Chen, K., et al: ‘Generalized multi-view embedding for visual recognition and cross-modal retrieval’, , 2016, pp. 1–13.
-
15)
-
33. Iosifidis, A., Tefas, A., Pitas, I.: ‘Large-scale nonlinear facial image classification based on approximate kernel extreme learning machine’. IEEE Int. Conf. Image Processing, 2015.
-
16)
-
4. Samaria, F., Harter, A.: ‘Parameterisation of a stochastic model for human face identification’. IEEE Workshop on Applications of Computer Vision, 1994.
-
17)
-
22. Wong, W.K., Sun, M.: ‘Deep learning regularized fisher mappings’, IEEE Trans. Neural Netw., 2011, 22, (10), pp. 1668–1675.
-
18)
-
31. Wolf, L., Hassner, T., Maoz, I.: ‘Face recognition in unconstrained videos with matched background similarity’. Computer Vision and Pattern Recognition, 2011.
-
19)
-
27. Golub, G., Loan, C.: ‘Matrix computations’ (Johns Hopkins University Press, 1996, 3rd edn.).
-
20)
-
20. Iosifidis, A., Gabbouj, M.: ‘Class-specific kernel discriminant analysis revisited: further analysis and extensions’, IEEE Trans. Cybern., 2016, .
-
21)
-
2. Li, Z., Park, U., Jain, A.: ‘A discriminative model for age invariant face recognition’, IEEE Trans. Inf. Forensics Sec., 2011, 6, (3), pp. 1028–1037.
-
22)
-
8. Ye, J.: ‘Least squares linear discriminant analysis’. Int. Conf. Machine Learning, 2007.
-
23)
-
34. Iosifidis, A., Tefas, A., Pitas, I.: ‘Approximate kernel extreme learning machine for large-scale data classification’, Neurocomputing, 2017, 219, pp. 210–220.
-
24)
-
25. Jia, Y., Nie, F., Zhang, C.: ‘Trace ratio problem revisited’, IEEE Trans. Neural Netw., 2009, 20, (4), pp. 729–735.
-
25)
-
6. Saul, L., Roweis, S.: ‘Think globally, fit locally: unsupervised learning of nonlinear manifolds’, J. Mach. Learn. Res., 2003, 4, pp. 119–155.
-
26)
-
23. Stuhlsatz, A., Lippel, J., Zielke, T.: ‘Feature extraction with deep neural networks by a generalized discriminant analysis’, IEEE Trans. Neural Netw., 2012, 23, (4), pp. 596–608.
-
27)
-
29. Li, Z., Lin, D., Tang, X.: ‘Nonparametric discriminant analysis for face recognition’, IEEE Trans. Pattern Anal. Mach. Intell., 2009, 31, (4), pp. 755–761.
-
28)
-
16. Williams, C.K.I., Seeger, M.: ‘Using the Nyström method to speed up kernel machines’. Advances in Neural Information Processing Systems, 2001, pp. 682–688.
-
29)
-
14. Arashloo, S., Kittler, J.: ‘Class-specific kernel fusion of multiple descriptors for face verification using multiscale binarized statistical image features’, IEEE Trans. Inf. Forensics Sec., 2014, 9, (12), pp. 2100–2109.
-
30)
-
12. Li, Y.P., Kittler, J., Matas, J.: Face verification using client specific Fisher faces’, in Kent, J.T., Aykroyd, R.G. (Eds.): ‘Proceedings of International conference on The Statistics of Directions, Shapes and Images’ (University of Leeds, Dept. of Statistics, Leeds, UK, 2000), pp. 63–66.
-
31)
-
30. Ortiza, E.G., Beckerb, B.C.: ‘Face recognition for web-scale datasets’, Comput. Vis. Image Underst., 2014, 118, pp. 153–170.
-
32)
-
35. Rahimi, A., Recht, B.: ‘Random features for large-scale kernel machines’. Advances in Neural Information Processing Systems, 2007.
-
33)
-
11. Iosifidis, A., Tefas, A., Pitas, I.: ‘Kernel reference discriminant analysis’, Pattern Recognit. Lett., 2014, 49, pp. 85–91.
-
34)
-
15. Iosifidis, A., Tefas, A., Pitas, I.: ‘Class-specific reference discriminant analysis with application in human behavior analysis’, IEEE Trans. Human Mach. Syst., 2015, 45, (3), pp. 315–326.
-
35)
-
32. Huang, G.B., Zhou, H., Ding, X., et al: ‘Extreme learning machine for regression and multi-class classification’, IEEE Trans. Syst. Man Cybern. B, 2012, 42, (2), pp. 513–529.
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