Skip to main content
Log in

Image Set-Oriented Dual Linear Discriminant Regression Classification and Its Kernel Extension

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

Along with the rapid development of computer and image processing technology, it is definitely convenient to obtain various images for subjects, which can be more robust to classification as more feature information is contained. However, how to effectively exploit the rich discriminative information within image sets is the key problem. In this paper, based on the concept of dual linear regression classification method for image set classification, we propose a novel discriminative framework to exploit the superiority of discriminant regression mechanism. We aim to learn a projection matrix to force the represented image points from the same class to be close and those from different class are better separated. The feature extraction strategy in our discriminative framework can appropriately work with the corresponding classification strategy, thus, better classification performance can be achieved. Moreover, we propose a kernel discriminative extension method to address the non-linearity problem by adopting the kernel trick. From the experimental results, our proposed method can obtain competitive recognition rates on face recognition tasks via mapping the original image sets into a more discriminative feature space. Besides, it also shows the effectiveness for object classification task with small image sizes and different number of frames.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Arandjelovic O, Shakhnarovich G, Fisher J, Cipolla R, Darrell T (2005) Face recognition with image sets using manifold density divergence. In: IEEE Computer Society conference on Computer Vision and Pattern Recognition. CVPR 2005, vol 1. IEEE, pp 581–588

  2. Boiman O, Shechtman E, Irani M (2008) In defense of nearest-neighbor based image classification. In: IEEE conference on Computer Vision and Pattern Recognition. CVPR 2008. IEEE, pp 1–8

  3. Cevikalp H, Triggs B (2010) Face recognition based on image sets. In: 2010 IEEE conference on Computer Vision and Pattern Recognition (CVPR). IEEE, pp 2567–2573

  4. Chai X, Shan S, Chen X, Gao W (2007) Locally linear regression for pose-invariant face recognition. IEEE Trans Image Process 16(7):1716–1725

    Article  MathSciNet  Google Scholar 

  5. Chen L (2014) Dual linear regression based classification for face cluster recognition. In: Proceedings of the IEEE conference on Computer Vision and Pattern Recognition, pp 2673–2680

  6. Chen SB, Ding CH, Luo B (2014) Extended linear regression for undersampled face recognition. J Vis Commun Image Represent 25(7):1800–1809

    Article  Google Scholar 

  7. Crammer K, Gilad-Bachrach R, Navot A, Tishby N (2003) Margin analysis of the LVQ algorithm. In: Advances in neural information processing systems, pp 479–486

  8. Crisp DJ, Burges CJ (2000) A geometric interpretation of v-SVM classifiers. In: Advances in neural information processing systems, pp 244–250

  9. Fan W, Yeung DY (2006) Locally linear models on face appearance manifolds with application to dual-subspace based classification. In: 2006 IEEE Computer Society conference on Computer Vision and Pattern Recognition, vol 2. IEEE, pp 1384–1390

  10. Feng Q, Zhou Y, Lan R (2016) Pairwise linear regression classification for image set retrieval. In: Proceedings of the IEEE conference on Computer Vision and Pattern Recognition, pp 4865–4872

  11. Gilad-Bachrach R, Navot A, Tishby N (2004) Margin based feature selection-theory and algorithms. In: Proceedings of the twenty-first international conference on Machine learning. ACM, p 43

  12. Gross R, Shi J (2001) The cmu motion of body (mobo) database

  13. Hamm J, Lee DD (2008) Grassmann discriminant analysis: a unifying view on subspace-based learning. In: Proceedings of the 25th international conference on Machine learning. ACM, pp 376–383

  14. Hassanpour N, Chen L (2017) A quantum probability inspired framework for image-set based face identification. In: 2017 12th IEEE international conference on Automatic Face & Gesture Recognition (FG 2017). IEEE, pp 551–557

  15. Hel-Or Y, Hel-Or H, David E (2014) Matching by tone mapping: photometric invariant template matching. IEEE Trans Pattern Anal Mach Intell 36(2):317–330

    Article  Google Scholar 

  16. Hotelling H (1936) Relations between two sets of variates. Biometrika 28(3/4):321–377

    Article  Google Scholar 

  17. Hu Y, Mian AS, Owens R (2011) Sparse approximated nearest points for image set classification. In: 2011 IEEE conference on Computer vision and pattern recognition (CVPR). IEEE, pp 121–128

  18. Huang L, Lu J, Tan YP (2014) Multi-manifold metric learning for face recognition based on image sets. J Vis Commun Image Represent 25(7):1774–1783

    Article  Google Scholar 

  19. Huang P, Gao G, Qian C, Yang G, Yang Z (2017) Fuzzy linear regression discriminant projection for face recognition. IEEE Access 5:4340–4349

    Article  Google Scholar 

  20. Huang P, Lai Z, Gao G, Yang G, Yang Z (2016) Adaptive linear discriminant regression classification for face recognition. Digit Signal Proc 55:78–84

    Article  Google Scholar 

  21. Huang SM, Yang JF (2013) Linear discriminant regression classification for face recognition. IEEE Signal Process Lett 20(1):91–94

    Article  Google Scholar 

  22. http://www.d2.mpi-inf.mpg.de/Datasets/ETH80

  23. Jin T, Liu Z, Yu Z, Min X, Li L (2017) Locality preserving collaborative representation for face recognition. Neural Process Lett 45(3):967–979

    Article  Google Scholar 

  24. Kim M, Kumar S, Pavlovic V, Rowley H (2008) Face tracking and recognition with visual constraints in real-world videos. In: IEEE conference on Computer Vision and Pattern Recognition. CVPR 2008. IEEE, pp 1–8

  25. Kim TK, Arandjelović O, Cipolla R (2007) Boosted manifold principal angles for image set-based recognition. Pattern Recognit 40(9):2475–2484

    Article  Google Scholar 

  26. Kim TK, Kittler J, Cipolla R (2006) Incremental learning of locally orthogonal subspaces for set-based object recognition. In: BMVC, pp 559–568

  27. Kim TK, Kittler J, Cipolla R (2007) Discriminative learning and recognition of image set classes using canonical correlations. IEEE Trans Pattern Anal Mach Intell 29(6):1005–1018

    Article  Google Scholar 

  28. Kovacs G (2018) Matching by monotonic tone mapping. IEEE Trans Pattern Anal Mach Intell 40(6):1424–1436

    Article  Google Scholar 

  29. Kovács G, Hajdu A (2013) Translation invariance in the polynomial kernel space and its applications in knn classification. Neural Process Lett 37(2):207–233

    Article  Google Scholar 

  30. Lee KC, Ho J, Yang MH, Kriegman D (2003) Video-based face recognition using probabilistic appearance manifolds. In: 2003 IEEE Computer Society conference on Computer Vision and Pattern Recognition. Proceedings, vol 1. IEEE, pp 313–320

  31. Li X, Fukui K, Zheng N (2009) Boosting constrained mutual subspace method for robust image-set based object recognition. In: IJCAI, pp 1132–1137

  32. Liu Z, Qiu Y, Peng Y, Pu J, Zhang X (2017) Quaternion based maximum margin criterion method for color face recognition. Neural Process Lett 45(3):913–923

    Article  Google Scholar 

  33. Lu J, Wang G, Moulin P (2016) Localized multifeature metric learning for image-set-based face recognition. IEEE Trans Circuits Syst Video Technol 26(3):529–540

    Article  Google Scholar 

  34. Naseem I, Togneri R, Bennamoun M (2010) Linear regression for face recognition. IEEE Trans Pattern Anal Mach Intell 32(11):2106–2112

    Article  Google Scholar 

  35. Nishiyama M, Yamaguchi O, Fukui K (2005) Face recognition with the multiple constrained mutual subspace method. In: International conference on audio-and video-based biometric person authentication. Springer, pp 71–80

  36. OJE E (1983) Subspace methods of pattern recognition. In: Pattern recognition and image processing series, vol 6. Research Studies Press

  37. Shah SAA, Nadeem U, Bennamoun M, Sohel F, Togneri R (2017) Efficient image set classification using linear regression based image reconstruction. arXiv preprint arXiv:1701.02485

  38. Shakhnarovich G, Fisher JW, Darrell T (2002) Face recognition from long-term observations. In: European Conference on Computer Vision. Springer, pp 851–865

  39. Shang F, Jiao L, Liu Y (2012) Integrating spectral kernel learning and constraints in semi-supervised classification. Neural Process Lett 36(2):101–115

    Article  Google Scholar 

  40. Shu X, Gao Y, Lu H (2012) Efficient linear discriminant analysis with locality preserving for face recognition. Pattern Recognit 45(5):1892–1898

    Article  Google Scholar 

  41. Smucler E, Yohai VJ (2017) Robust and sparse estimators for linear regression models. Comput Stat Data Anal 111:116–130

    Article  MathSciNet  Google Scholar 

  42. Song K, Nie F, Han J, Li X (2017) Parameter free large margin nearest neighbor for distance metric learning. In: Thirty-First AAAI conference on artificial intelligence

  43. Tan H, Gao Y (2017) Patch-based principal covariance discriminative learning for image set classification. IEEE Access 5:15001–15012

    Article  Google Scholar 

  44. Viola P, Jones MJ (2004) Robust real-time face detection. Int J Comput Vis 57(2):137–154

    Article  Google Scholar 

  45. Wang B, Li W, Li Z, Liao Q (2013) Adaptive linear regression for single-sample face recognition. Neurocomputing 115:186–191

    Article  Google Scholar 

  46. Wang R, Chen X (2009) Manifold discriminant analysis. In: IEEE conference on Computer Vision and Pattern Recognition. CVPR 2009. IEEE, pp 429–436

  47. Wang R, Shan S, Chen X, Gao W (2008) Manifold-manifold distance with application to face recognition based on image set. In: IEEE conference on Computer Vision and Pattern Recognition. CVPR 2008. IEEE, pp 1–8

  48. Wang W, Wang R, Shan S, Chen X (2017) Prototype discriminative learning for face image set classification. IEEE Signal Process Lett 24(9):1318–1322

    Article  Google Scholar 

  49. Wu Y, Minoh M, Mukunoki M (2013) Collaboratively regularized nearest points for set based recognition. In: BMVC, vol 2, p 5

  50. Yamaguchi O, Fukui K, Maeda K (1998) Face recognition using temporal image sequence. In: Third IEEE international conference on automatic face and gesture recognition. Proceedings. IEEE, pp 318–323

  51. Yang J, Chu D, Zhang L, Xu Y, Yang J (2013) Sparse representation classifier steered discriminative projection with applications to face recognition. IEEE Trans Neural Netw Learn Syst 24(7):1023–1035

    Article  Google Scholar 

  52. Yang M, Wang X, Liu W, Shen L (2017) Joint regularized nearest points for image set based face recognition. Image Vis Comput 58:47–60

    Article  Google Scholar 

  53. Yang M, Zhu P, Van Gool L, Zhang L (2013) Face recognition based on regularized nearest points between image sets. In: 2013 10th IEEE international conference and workshops on automatic face and gesture recognition (FG). IEEE, pp 1–7

  54. Zhao C, Miao D, Lai Z, Gao C, Liu C, Yang J (2013) Two-dimensional color uncorrelated discriminant analysis for face recognition. Neurocomputing 113:251–261

    Article  Google Scholar 

  55. Zhao W, Chellappa R, Phillips PJ, Rosenfeld A (2003) Face recognition: a literature survey. ACM computing surveys (CSUR) 35(4):399–458

    Article  Google Scholar 

  56. Zheng H, Xie J, Jin Z (2012) Heteroscedastic sparse representation based classification for face recognition. Neural Process Lett 35(3):233–244

    Article  Google Scholar 

  57. ZhongQiu Z, ShouTao X, Dian L, WeiDon T, ZhiDa J (2019) A review of image set classification. Neurocomputing 335(28):251–260

    Google Scholar 

  58. Zhou D, Yang D, Zhang X, Huang S, Feng S (2018) Discriminative probabilistic latent semantic analysis with application to single sample face recognition. Neural Process Lett 49:1273–1298

    Article  Google Scholar 

  59. Zhou S, Wang J, Shi R, Hou Q, Gong Y, Zheng N (2018) Large margin learning in set-to-set similarity comparison for person reidentification. IEEE Trans Multimed 20(3):593–604

    Google Scholar 

  60. Zhu P, Zhang L, Zuo W, Zhang D (2013) From point to set: extend the learning of distance metrics. In: 2013 IEEE international conference on Computer Vision (ICCV). IEEE, pp 2664–2671

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Project Nos. 61673220 and 61772272).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wenzhu Yan.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yan, W., Sun, H., Sun, Q. et al. Image Set-Oriented Dual Linear Discriminant Regression Classification and Its Kernel Extension. Neural Process Lett 51, 1061–1079 (2020). https://doi.org/10.1007/s11063-019-10133-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11063-019-10133-6

Keywords

Navigation