Skip to main content
Top
Published in: Neural Processing Letters 3/2019

18-05-2018

Generalized Discriminant Local Median Preserving Projections (GDLMPP) for Face Recognition

Authors: Ming-Hua Wan, Zhi-Hui Lai

Published in: Neural Processing Letters | Issue 3/2019

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

To solve the problem of the singularity of the within-class scatter matrix in discriminant local median preserving projections (DLMPP) in the case of small sample size problem, an algorithm named generalized local median preserving projection (GDLMPP) is proposed. To solve the small size problem, GDLMPP firstly transforms the samples into a lower dimensional space equivalently, and then the optimal projection matrix can be solved. The theoretical analysis shows that GDLMPP is equivalent to DLMPP when the within-class scatter matrix is non-singular. Finally, we conduct extensive experiments to prove that the proposed algorithm can provide a better representation and achieve higher face recognition rates than previous approaches such as LPP, LDA and DLMPP on the ORL, Yale and AR face databases.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Yang W, Sun C, Zhang L (2011) A multi-manifold discriminant analysis method for image feature extraction. Pattern Recogn 44(8):1649–1657CrossRefMATH Yang W, Sun C, Zhang L (2011) A multi-manifold discriminant analysis method for image feature extraction. Pattern Recogn 44(8):1649–1657CrossRefMATH
2.
go back to reference Yang W, Wang J, Ren M et al (2009) Feature extraction based on Laplacian bidirectional maximum margin criterion. Pattern Recogn 42(11):2327–2334CrossRefMATH Yang W, Wang J, Ren M et al (2009) Feature extraction based on Laplacian bidirectional maximum margin criterion. Pattern Recogn 42(11):2327–2334CrossRefMATH
3.
go back to reference Yang W, Wang Z, Sun C (2015) A collaborative representation based projections method for feature extraction. Pattern Recogn 48(1):20–27CrossRef Yang W, Wang Z, Sun C (2015) A collaborative representation based projections method for feature extraction. Pattern Recogn 48(1):20–27CrossRef
4.
go back to reference Turk M, Pentland A (1991) Eigenfaces for recognition. J Cogn Neurosci 3(1):71–86CrossRef Turk M, Pentland A (1991) Eigenfaces for recognition. J Cogn Neurosci 3(1):71–86CrossRef
5.
go back to reference Vidal R, Ma Y, Sastry SS (2016) Robust principal component analysis. Generalized principal component analysis. Springer, New York, pp 63–122MATH Vidal R, Ma Y, Sastry SS (2016) Robust principal component analysis. Generalized principal component analysis. Springer, New York, pp 63–122MATH
6.
go back to reference Belhumeur PN, Hespanha JP, Kriegman DJ (1997) Eigenfaces vs fisherfaces: recognition using class specific linear projection. IEEE Trans Pattern Anal Mach Intell 19(7):711–720CrossRef Belhumeur PN, Hespanha JP, Kriegman DJ (1997) Eigenfaces vs fisherfaces: recognition using class specific linear projection. IEEE Trans Pattern Anal Mach Intell 19(7):711–720CrossRef
7.
go back to reference Wang S, Lu J, Gu X et al (2016) Semi-supervised linear discriminant analysis for dimension reduction and classification. Pattern Recogn 57:179–189CrossRef Wang S, Lu J, Gu X et al (2016) Semi-supervised linear discriminant analysis for dimension reduction and classification. Pattern Recogn 57:179–189CrossRef
8.
go back to reference He XF, Yan SC, Hu YX et al (2005) Face recognition using Laplacianfaces. IEEE Trans Pattern Anal Mach Intell 27(3):328–340CrossRef He XF, Yan SC, Hu YX et al (2005) Face recognition using Laplacianfaces. IEEE Trans Pattern Anal Mach Intell 27(3):328–340CrossRef
9.
go back to reference Wen Y, Yang S, Hou L, et al (2016) Face recognition using locality sparsity preserving projections. In: 2016 international joint conference on neural networks (IJCNN), IEEE, pp 3600–3607 Wen Y, Yang S, Hou L, et al (2016) Face recognition using locality sparsity preserving projections. In: 2016 international joint conference on neural networks (IJCNN), IEEE, pp 3600–3607
10.
go back to reference Yu WW, Teng XL, Liu CQ (2006) Face recognition using discriminant locality preserving projections. Image Vis Comput 24(3):239–248CrossRef Yu WW, Teng XL, Liu CQ (2006) Face recognition using discriminant locality preserving projections. Image Vis Comput 24(3):239–248CrossRef
11.
go back to reference Huang P, Tang Z (2012) Discriminant of local median preserving projection with its application to face recognition. J Comput Aided Des Comput Graph 24(11):1420–1425 Huang P, Tang Z (2012) Discriminant of local median preserving projection with its application to face recognition. J Comput Aided Des Comput Graph 24(11):1420–1425
12.
go back to reference Wan M, Li M, Yang G, Gai S, Jin Z (2014) Feature extraction using two-dimensional maximum embedding difference. Inf Sci 274:55–69CrossRef Wan M, Li M, Yang G, Gai S, Jin Z (2014) Feature extraction using two-dimensional maximum embedding difference. Inf Sci 274:55–69CrossRef
13.
go back to reference Lai Z, Wong W, Xu Y, Yang J, Tang J, Zhang D (2016) Approximate orthogonal sparse embedding for dimensionality reduction. IEEE Trans Neural Netw Learn Syst 27(4):723–735MathSciNetCrossRef Lai Z, Wong W, Xu Y, Yang J, Tang J, Zhang D (2016) Approximate orthogonal sparse embedding for dimensionality reduction. IEEE Trans Neural Netw Learn Syst 27(4):723–735MathSciNetCrossRef
14.
go back to reference Ning X, Li W, LI H et al (2016) Uncorrelated local preserving discriminant analysis based on bionics. J Comput Res Dev 53(11):2623–2629 Ning X, Li W, LI H et al (2016) Uncorrelated local preserving discriminant analysis based on bionics. J Comput Res Dev 53(11):2623–2629
15.
go back to reference Ma X, Tan Y (2014) Face recognition based on discriminant sparse preserving embedding. Acta Automatica Sinica 40(1):73–82MATH Ma X, Tan Y (2014) Face recognition based on discriminant sparse preserving embedding. Acta Automatica Sinica 40(1):73–82MATH
16.
go back to reference Zhao Z, Hao X (2013) Linear locality preserving and discriminating projection for face recognition. J Electron Inf Technol 35(2):463–467MathSciNetCrossRef Zhao Z, Hao X (2013) Linear locality preserving and discriminating projection for face recognition. J Electron Inf Technol 35(2):463–467MathSciNetCrossRef
17.
go back to reference Yin J, Zeng W, Wei L (2016) Optimal feature extraction methods for classification methods and their applications to biometric recognition. Knowl Based Syst 99:112–122CrossRef Yin J, Zeng W, Wei L (2016) Optimal feature extraction methods for classification methods and their applications to biometric recognition. Knowl Based Syst 99:112–122CrossRef
18.
go back to reference Yin J, Wei L, Song M, Zeng W (2016) Optimized projection for collaborative representation based classification and its applications to face recognition. Pattern Recogn Lett 73:83–90CrossRef Yin J, Wei L, Song M, Zeng W (2016) Optimized projection for collaborative representation based classification and its applications to face recognition. Pattern Recogn Lett 73:83–90CrossRef
19.
go back to reference Wan M, Lai Z, Yang G et al (2017) Local graph embedding based on maximum margin criterion via fuzzy set. Fuzzy Sets Syst 318:120–131MathSciNetCrossRef Wan M, Lai Z, Yang G et al (2017) Local graph embedding based on maximum margin criterion via fuzzy set. Fuzzy Sets Syst 318:120–131MathSciNetCrossRef
20.
go back to reference Yang J, Zhang D, Yang J et al (2007) Globally maximizing, locally minimizing: unsupervised discriminant projection with applications to face and palm biometrics. IEEE Trans Pattern Anal Mach Intell 29(4):650–664MathSciNetCrossRef Yang J, Zhang D, Yang J et al (2007) Globally maximizing, locally minimizing: unsupervised discriminant projection with applications to face and palm biometrics. IEEE Trans Pattern Anal Mach Intell 29(4):650–664MathSciNetCrossRef
Metadata
Title
Generalized Discriminant Local Median Preserving Projections (GDLMPP) for Face Recognition
Authors
Ming-Hua Wan
Zhi-Hui Lai
Publication date
18-05-2018
Publisher
Springer US
Published in
Neural Processing Letters / Issue 3/2019
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-018-9840-6

Other articles of this Issue 3/2019

Neural Processing Letters 3/2019 Go to the issue