Pattern Recognition and Analysis 
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M. Alex O. Vasilescu  
 


 
 
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   Pattern Recognition and Analysis
   MAS 622J/1.126
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  • Topic:
         Multilinear (Tensor) Algebraic Framework for Data Analysis,
         Recognition and Synthesis

    • Multilinear Models: Multilinear PCA, Multilinear ICA
    • Multilinear Projection
    • Tensor Pseudo-Inverse
    • Tensor Identity
    • Tensor Rank-R and Rank-(R1,R2, ... , RN) approximation

  • Slides


  • Weizmann Face Database (28 people, 5 views, 4 illuminations, 3 expressions)
    See the readme for more info.

  • Max Plank Database: (200 people, 7 views, multiple expressions)

  • Small Database: (1 person, 15 views, 25 illuminations),  Instructions

  • Code

  • Relevant Papers:

    • Turk, M. & Pentland, A. (1991). Eigenfaces for recognition. Journal of Cognitive Neuroscience, 3, 71-86.


    • Bartlett M.S., Movellan J.R., Sejnowski T.J, `Face Recognition by Independent Component Analysis', IEEE Transactions on Neural Networks 13 (6) (2002) 1450-- 1464. http://citeseer.ist.psu.edu/bartlett02face.html


    • Vasilescu M.A.O., Terzopoulos D., "Multilinear Analysis of Image Ensembles: TensorFaces," Proc. 7th European Conference on Computer Vision (ECCV'02), Copenhagen, Denmark, May, 2002, in Computer Vision -- ECCV 2002, Lecture Notes in Computer Science, Vol. 2350, A. Heyden et al. (Eds.), Springer-Verlag, Berlin, 2002, 447-460.
      Abstract | Full Article in PDF (882KB)

    • Vasilescu M.A.O., Terzopoulos D., `Multilinear Independent Components Analysis', Proc. Computer Vision and Pattern Recognition Conf. (CVPR '05), 547-553 vol.1, 2005.
      Paper (1,027 KB - .pdf)