Skip to main content
Log in

Graph steered discriminative projections based on collaborative representation for Image recognition

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

Dimensionality reduction techniques are commonly used for image recognition. We propose a graph steered dimensionality reduction method called Discriminative Projections based on Collaborative Representation (DPCR) by transforming the dimensionality reduction task into a graph embedding framework. DPCR utilizes the collaborative representation to construct within-class and between-class graphs. To improve the discriminative performance of dimensionality reduction, DPCR introduces the label information into graph building. The novel method not only avoids the difficulty of finding proper neighborhood but also inherits the merits of manifold learning methods and the robustness of collaborative representation techniques. Experiments on benchmark datasets demonstrate its effectiveness.

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
Fig. 6

Similar content being viewed by others

Notes

  1. http://spams-devel.gforge.inria.fr.

  2. http://ict.ewi.tudelft.nl/lvandermaaten/dr

References

  1. Belkin M, Niyogi P (2001) Laplacian eigenmaps and spectral techniques for embedding and clustering. Adv Neural Inf Proces Syst 14(6):585–591

    Google Scholar 

  2. Cox MAA, Cox TF (2008) Multidimensional scaling. Springer, Berlin Heidelberg

    MATH  Google Scholar 

  3. Cui H, Zhu L, Cui C, Nie X, Zhang H Efficient weakly-supervised discrete hashing for large-scale social image retrieval. Pattern Recogn Lett. https://doi.org/10.1016/j.patrec.2018.08.033

  4. Gui J, Sun Z, Jia W, Hu RX, Lei YK, Ji S (2012) Discriminant sparse neighborhood preserving embedding for face recognition. Pattern Recogn 45(8):2884–2893

    Article  MATH  Google Scholar 

  5. He X (2003) Locality preserving projections. Adv Neural Inf Proces Syst 16(1):186–197

    Google Scholar 

  6. He X, Cai D, Yan S, Zhang H (2005) Neighborhood preserving embedding. IEEE Int Conf Comput Vision, Beijing, China: 1208–1213

  7. Lai J, Jiang X (2014) Discriminative sparsity preserving embedding for face recognition. Int Conf Image Process: 3695–3699

  8. Li Z, Nie F, Chang X, Yang Y (2017) Beyond trace ratio: weighted harmonic mean of trace ratios for multiclass discriminant analysis. Trans Knowl Data Eng 29(10):2100–2100

    Article  Google Scholar 

  9. Liu X, Xu Q, Chau T, Mu Y, Zhu L, Yan S(2018) Revisiting jump-diffusion process for visual tracking: a reinforcement learning approach. Trans Circ Syst Video Technol 8(3):38–49

  10. Liu X, Xu Y, Zhu L, Mu Y (2018) A stochastic attribute grammar for robust cross-view human tracking. Trans Circ Syst Video Technol 28(10):2884–2895

    Article  Google Scholar 

  11. Lu G, Tang G, Zou J (2016) Spare L1-norm-based maximum margin criterion. Visual Commun Image Rep 38:11–17

    Article  Google Scholar 

  12. Lu X, Zhu L, Cheng Z, Song X, Zhang H (2019) Efficient discrete latent semantic hashing for scalable cross-modal retrieval. Signal Process 154:217–231

    Article  Google Scholar 

  13. Luo M, Chang X, Li Z, Nie L, Hauptmann AG, Zheng Q (2017) Simple to complex cross-modal learning to rank. Comput Vis Image Underst 163:67–77

    Article  Google Scholar 

  14. Ma Z, Chang X, Xu Z, Sebe N, Hauptmann AG (2018) Joint attributes and event analysis for multimedia event detection. IEEE Trans Neural Netw Learn Syst 29(7):2921–2930

    MathSciNet  Google Scholar 

  15. Nie L, Wang M, Zha ZJ, Chua TS (2012) Oracle in image search: a content-based approach to performance prediction. Trans Inform Syst 30(2):1–23

    Article  Google Scholar 

  16. Nie L, Song X, Chua TS (2016) Learning from multiple social networks. Synthesis lectures on information concepts retrieval and services, Morgan Claypool, USA

  17. Qiao L, Chen S, Tan X (2010) Sparsity preserving projections with applications to face recognition. Pattern Recogn 43(1):331–341

    Article  MATH  Google Scholar 

  18. Roweis ST, Saul LK (2000) Nonlinear dimensionality reduction by locally linear embedding. Science 290(5500):2323–2326

    Article  Google Scholar 

  19. Sakai H, Liu C, Nakata M (2016) Information dilution: Granule-based information hiding in table data - A case of lenses data set in UCI Mach Learn repository. International Conference on Computing Measurement Control and Sensor Network, Matsue, Japan: 52–55

  20. Tenenbaum JB (1998) Mapping a manifold of perceptual observations. Adv Neural Inf Proces Syst: 682–688

  21. Turk MA, Pentland A(1991) Face recognition using eigenfaces. Computer society conference on computer vision and Pattern Recogn: 586–591

  22. Wang Y, Zhang H, Yang F (2017) A weighted sparse neighborhood-preserving projections for face recognition. J Res 63:358–367

    Google Scholar 

  23. Wang Q, Gao Q, Xie D, Gao X, Wang Y (2018) Robust dlpp with nongreedy ℓ1-norm minimization and maximization. IEEE Trans Neural Netw Learn Syst 29(3):738–743

    Article  MathSciNet  Google Scholar 

  24. Xie L, Shen J, Han J, Zhu L, Shao L (2017) Dynamic multi-view hashing for online image retrieval. Int Joint Conf Artif Intell: 3133–3139

  25. Yang J, Chu D (2010) Sparse representation classifier steered discriminative projection. International Conference on Pattern Recognition, Istanbul, Turkey: 694–697

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

    Article  Google Scholar 

  27. Yang W, Wang Z, Sun C (2015) A collaborative representation based projections method for feature extraction. Pattern Recogn 48(1):20–27

    Article  Google Scholar 

  28. Zhang H, Lu J (2009) Semi-supervised fuzzy clustering: a kernel-based approach. Knowl-Based Syst 22(6):477–481

    Article  Google Scholar 

  29. Zhang L, Yang M, Feng X (2011) Sparse representation or collaborative representation: which helps face recognition? International conference on computer vision, Barcelona, Spain, November ,pp 471–478

  30. Zhu L, Huang Z, Li Z, Xie L, Shen H T (2018) Exploring auxiliary context: discrete semantic transfer hashing for scalable image retrieval,29(11):5264–5276

Download references

Acknowledgements

The work is supported by the National Natural Science Foundation of China (No.61702310 and 61772322), the Key Research and Development Foundation of Shandong Province (No. 2016GGX101009).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li Liu.

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

Liu, L., Zhang, B., Zhang, H. et al. Graph steered discriminative projections based on collaborative representation for Image recognition. Multimed Tools Appl 78, 24501–24518 (2019). https://doi.org/10.1007/s11042-018-7117-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-018-7117-8

Keywords

Navigation