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On the Behavior of Kernel Mutual Subspace Method

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6469))

Abstract

Optimizing the parameters of kernel methods is an unsolved problem. We report an experimental evaluation and a consideration of the parameter dependences of kernel mutual subspace method (KMS). The following KMS parameters are considered: Gaussian kernel parameters, the dimensionalities of dictionary and input subspaces, and the number of canonical angles. We evaluate the recognition accuracies of KMS through experiments performed using the ETH-80 animal database. By searching exhaustively for optimal parameters, we obtain 100% recognition accuracy, and some experimental results suggest relationships between the dimensionality of subspaces and the degrees of freedom for the motion of objects. Such results imply that KMS achieves a high recognition rate for object recognition with optimized parameters.

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References

  1. Maeda, K.-i., Watanabe, S.: Pattern matching method with local structure. Trans. on IEICE (D) 68-D(3), 345–352 (1985) (Japanese Edition); Cipolla, R., et al. (ed.) recent English version is, Computer Vision: Detection, Recognition and Reconstruction (Studies in Computational Intelligence) Part 5. From the Subspace Methods to the Mutual Subspace Method.SCI. Springer Heidelberg (2010)

    Google Scholar 

  2. Yamaguchi, O., Fukui, K., Maeda, K.: Face recognition using temporal image sequence. In: Proc. of IEEE 4th Int’l. Conf. on Face and Gesture Recognition, pp. 318–323 (1998)

    Google Scholar 

  3. Sakano, H., Mukawa, N.: Kernel mutual subspace method for robust facial image recognition. In: Proc. of 4th Int’l. Conf. on Knowledge based Engineering System, Brighton, vol. 1, pp. 245–248 (2000)

    Google Scholar 

  4. Sakano, H., Mukawa, N., Nakamura, T.: Kernel mutual subspace method and its application for object recognition. Electronics and Communications in Japan E88(6), 45–53 (2005)

    Google Scholar 

  5. Sakano, H., Suenaga, T.: Classifiers under continuous observations. In: Caelli, T.M., Amin, A., Duin, R.P.W., Kamel, M.S., de Ridder, D. (eds.) SPR 2002 and SSPR 2002. LNCS, vol. 2396, pp. 798–805. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  6. Ichino, M., Sakano, H., Komatsu, N.: Speaker recognition using kernel mutual subspace method. In: Proc. of ICARCV (2004)

    Google Scholar 

  7. Zhang, B., Park, J., Ko, H.: Combination of self-organization map and kernel mutual subspace method for video surveillance. Advanced Video and Signal Based Surveillance, 123–128 (2007)

    Google Scholar 

  8. Ichino, M., Sakano, H., Komatsu, N.: Text-indicated speaker recognition using kernel mutual subspace method. In: Proc. of ICARCV, Singapore, p. 11027 (2008)

    Google Scholar 

  9. Fujimaki, R., Yairi, T., Machida, K.: An approach to spacecraft anomaly detection problem using kernel feature space. In: 11th ACM SIGKDD Int’l Conf. on Knowledge Discovery and Data Mining (KDD 2005), pp. 401–410 (2005)

    Google Scholar 

  10. Fukui, K., Yamaguchi, O.: A Theoretical Extension of the Subspace Method and its Application for 3D Object Recognition. IPSJ Transactions on Computer Vision and Image Media 46(SIG 15(CVIM 12)), 21–34 (2005) (in Japanese)

    Google Scholar 

  11. Leibe, B., Schiele, B.: Analyzing appearance and contour based methods for object categorization. In: CVPR, pp. 409–415 (2003)

    Google Scholar 

  12. Chatelin, F.: Veleurs propres de matrices. Masson, Paris (1988) (in French)

    Google Scholar 

  13. Kim, T.-K., Arandjelovic, O., Cipolla, R.: Boosted manifold principal angles for image set-based recognition. Pattern Recognition 40(9), 2475–2484 (2007)

    Article  MATH  Google Scholar 

  14. Maeda, K., Yamaguchi, O., Fukui, K.: Towards 3-dimensional pattern recognition. In: SSPR/SPR 2004, pp.1061–1068 (2004)

    Google Scholar 

  15. Schölkopf, B., Smola, A., Müler, K.R.: Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation 10, 1299–1319 (1998)

    Article  Google Scholar 

  16. Fukui, K., Stenger, B., Yamaguchi, O.: A framework for 3D object recognition using the kernel constrained mutual subspace method. In: Proceedings of Asian Conference on Computer Vision, pp. 315–324 (2006)

    Google Scholar 

  17. Fukui, K., Yamaguchi, O.: The kernel orthogonal mutual subspace method and its application to 3D object recognition. In: Yagi, Y., Kang, S.B., Kweon, I.S., Zha, H. (eds.) ACCV 2007, Part II. LNCS, vol. 4844, pp. 467–476. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  18. Zhang, J., Marszalek, M., Lazebnik, S., Schmid, C.: Local features and kernels for classification of texture and object categories: A comprehensive study. Int’l J. of Computer Vision 73(2), 213–238 (2007)

    Article  Google Scholar 

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Sakano, H., Yamaguchi, O., Kawahara, T., Hotta, S. (2011). On the Behavior of Kernel Mutual Subspace Method. In: Koch, R., Huang, F. (eds) Computer Vision – ACCV 2010 Workshops. ACCV 2010. Lecture Notes in Computer Science, vol 6469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22819-3_37

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  • DOI: https://doi.org/10.1007/978-3-642-22819-3_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22818-6

  • Online ISBN: 978-3-642-22819-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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