On the Bin Number Choice of Joint Histogram Estimation Applied to Mutual Information based Face Recognition

Abdenour Hacine-Gharbi, Philippe Ravier

Abstract

In this paper, we investigate the binning problem of joint histogram estimation applied to mutual information based face recognition application. Classical approaches for histograms estimation tend to empirically fix the bin numbers. We evaluate in this work some state of the art rules for automatically choosing the bin numbers. The face recognition problem has been studied in the case of local and holistic methods. The choice’s performance has been evaluated using AT&T database with single sample in the training set. The results show that better accuracy recognition rates can be achieved with data driven bin number choices rather than fixed bin numbers. In the local method, the results show a higher robustness of the automatic vs fixed bin number choice when the regions become smaller.

References

  1. Ait Kerroum, M., Hammouch, A. and Aboutajdine, D. (2010) 'Textural feature selection by joint mutual information based on Gaussian mixture model for multispectral image classification', Pattern Recognition Letters, vol. 31, no. 10, July, pp. 1168- 1174.
  2. Cover, T. M. and Thomas, J. A. (2006) Elements of information theory, 2nd edition, Wiley Series in telecommunications and Signal Processing.
  3. Darbellay, G. A. and Vajda, I. (1999) 'Estimation of the information by an adaptive partitioning of the observations space', IEEE Transactions on Information Theory, vol. 45, no. 4, May, pp. 1315- 1321.
  4. Drugman, T., Gurban, M. and Thiran, J. P. (October 2007) 'Relevant Feature Selection for Audio-visual Speech recognition', Proc. of the International Workshop on Multimedia Signal Processing, Crete, Greece, 179 - 182.
  5. Freedman, D. and Diaconis, P. (1981) 'On the Maximum Deviation Between the Histogram and the Underlying Density', Zeitschrift fur Wahrscheinlichkeitstheorie und verwandte Gebiete, vol. 58, no. 2, pp. 139-167.
  6. Hacine-Gharbi, A., Deriche, M., Ravier, P., Harba, R. and Mohamadi, T. (2013) 'New Histogram-based Estimation Technique of Entropy and Mutual Information using Mean Squared Error Minimization', Computers and Electrical Engineering , vol. 39, no. 3, pp. 918-933.
  7. Hacine-Gharbi, A., Ravier, P., Harba, R. and Mohamadi, T. (2012) 'Low bias histogram-based estimation of mutual information for feature selection', Pattern Recognition Letters, vol. 33, no. 10, pp. 1302-1308.
  8. Hermosillo, G. and Faugeras, O. (2001) 'Dense image matching with global and local statistical criteria: a variational approach', Computer Vision and Pattern Recognition, vol. 1, pp. 73-78.
  9. Jain, A. K., Duin, R. P. W. and Mao, J. (2000) 'Statistical Pattern Recognition: A Review', IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 22, no. 1, pp. 4-37.
  10. Khan, M. M., Javed, M. Y. and Anjum, M. A. (2005) 'Face Recognition using Sub-Holistic PCA', First International Conference on Information and Communication Technologies, ICICT, 152 - 157.
  11. Kwak, N. and Choi, C. (2002) 'Input feature selection by mutual information based on Parzen Window', IEEE Transactions Pattern Anal Mach Intell, vol. 24, no. 12, pp. 1667-71.
  12. Legg, P. A., Rosin, P. L., Marshall, D. and Morgan, J. E. (2013) 'Improving accuracy and efficiency of mutual information for multi-modal retinal image registration using adaptive probability density estimation', Computerized Medical Imaging and Graphics.
  13. Legg, P. A., Rosin, P. L., Marshall, D. and Morgan, J. E. (July 2007) 'Improving Accuracy and Efficiency of Registration by Mutual Information using Sturges Histogram Rule', Proc. Medical Image Understanding and Analysis, Aberystwyth, 26-30.
  14. Makaremi, I. and Ahamdi, M. (2009) 'A Mutual Information Based Face Recognition Method'.
  15. Moddemeijer, R. (1989) 'On estimation entropy and mutual information of continuous distributions', Signal Processing, vol. 16, no. 3, pp. 233-248.
  16. Nabatchian, A., Abdel-Raheem, E. and Ahmadi, M. (2011) 'Illumination invariant feature extraction and mutual-information-based local matching for face recognition under illumination variation and occlusion', Pattern Recognition, vol. 44, no. 10-11, October, pp. 2576-2587.
  17. Panzeri, S., Senatore, R., Montemurro, M. and Petersen, R. (2007) 'Correcting for the Sampling Bias Problem in Spike Train Information Measures', Neurophysiology, vol. 98, no. 3, September, pp. 1064- 1072.
  18. Pluim, J. P. W., Maintz, J. B. A. and Viergever, M. A. (2003) 'Mutual Information Based Registration of Medical Images: A Survey', IEEE Transactions on Medical Imaging, vol. 22, no. 8, August, pp. 986 - 1004.
  19. Ruiz-del-Solar, J. and Navarrete, P. (2005) 'EigenspaceBased face recognition: A comparative study of different approaches', IEEE Transactions Syst., vol. 35, no. 3, pp. 315-325.
  20. Scott, D. W. (1979) 'On optimal and data-based histograms', Biometrika, vol. 66, no. 3, pp. 605-610.
  21. Sturges, H. (1926) 'The choice of a class-interval', J. Amer. Statist. Assoc, vol. 21, pp. 65-66.
  22. The Database of Faces (2002), [Online], Available: http://www.cl.cam.ac.uk/research/dtg/attarchive/faced atabase.html.
  23. Zou, J. and Nagy, G. (2007) 'A Comparative Study of Local Matching Approach for Face Recognition', IEEE Transactions on Image Processing, vol. 16, no. 10, October, pp. 2617-2628.
Download


Paper Citation


in Harvard Style

Hacine-Gharbi A. and Ravier P. (2014). On the Bin Number Choice of Joint Histogram Estimation Applied to Mutual Information based Face Recognition . In Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-758-018-5, pages 777-782. DOI: 10.5220/0004925607770782


in Bibtex Style

@conference{icpram14,
author={Abdenour Hacine-Gharbi and Philippe Ravier},
title={On the Bin Number Choice of Joint Histogram Estimation Applied to Mutual Information based Face Recognition},
booktitle={Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},
year={2014},
pages={777-782},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004925607770782},
isbn={978-989-758-018-5},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - On the Bin Number Choice of Joint Histogram Estimation Applied to Mutual Information based Face Recognition
SN - 978-989-758-018-5
AU - Hacine-Gharbi A.
AU - Ravier P.
PY - 2014
SP - 777
EP - 782
DO - 10.5220/0004925607770782