Advertisement

Robust Nonparametric Regression with Output in SO(3)

  • Grzegorz Jabłoński
Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 95)

Abstract

In this paper the implementation of robust nonparametric kernel estimator for SO(3) group is presented.We propose the conjugate gradient method for solving the optimization problem, which arises during computation of the estimator. Finally an experiment with database of toy figure images together with their rotations is conducted.

Keywords

Tangent Space Conjugate Gradient Method Kernel Estimator Real Life Application Steep Descent Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bertsekas, D.: Nonlinear Programming. Athena Scientific, Belmont (1999)zbMATHGoogle Scholar
  2. 2.
    Edelman, A., Arias, T., Smith, S.: The geometry of algorithms with orthogonality constraints. SIAM Journal on Matrix Analysis and Applications 20 (2) (1999)Google Scholar
  3. 3.
    Forsythe, G., Malcolm, M., Moler, C.: Computer Methods for Mathematical Computations. Prentice-Hall, Englewood Cliffs (1977)zbMATHGoogle Scholar
  4. 4.
    Hein, M.: Robust Nonparametric Regression with Metric-Space valued Output. Advances in Neural Information Processing Systems 22 (2009)Google Scholar
  5. 5.
    Moakher, M.: Means and averaging in the group of rotations. SIAM Journal on Matrix Analysis and Applications 24 (1) (2002)Google Scholar
  6. 6.
    Peters, G., Zitova, B., Malsburg, C.: How to Measure the Pose Robustness of Object Views. Image and Vision Computing 20 (4) (2002)Google Scholar
  7. 7.
    Ricci, E., De Bie, T., Cristianini, N.: Magic Moments for Structured Output Prediction. Journal of Machine Learning Research 9 (2008)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Grzegorz Jabłoński
    • 1
  1. 1.Institute of Computer ScienceJagiellonian UniversityKrakowPoland

Personalised recommendations