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Invariance in kernel methods by haar-integration kernels

Publication ,  Conference
Haasdonk, B; Vossen, A; Burkhardt, H
Published in: Lecture Notes in Computer Science
January 1, 2005

We address the problem of incorporating transformation invariance in kernels for pattern analysis with kernel methods. We introduce a new class of kernels by so called Haar-integration over transformations. This results in kernel functions, which are positive definite, have adjustable invariance, can capture simultaneously various continuous or discrete transformations and are applicable in various kernel methods. We demonstrate these properties on toy examples and experimentally investigate the real-world applicability on an image recognition task with support vector machines. For certain transformations remarkable complexity reduction is demonstrated. The kernels hereby achieve state-of-the-art results, while omitting drawbacks of existing methods. © Springer-Verlag Berlin Heidelberg 2005.

Duke Scholars

Published In

Lecture Notes in Computer Science

DOI

ISSN

0302-9743

Publication Date

January 1, 2005

Volume

3540

Start / End Page

841 / 851

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
 

Citation

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Haasdonk, B., Vossen, A., & Burkhardt, H. (2005). Invariance in kernel methods by haar-integration kernels. In Lecture Notes in Computer Science (Vol. 3540, pp. 841–851). https://doi.org/10.1007/11499145_85
Haasdonk, B., A. Vossen, and H. Burkhardt. “Invariance in kernel methods by haar-integration kernels.” In Lecture Notes in Computer Science, 3540:841–51, 2005. https://doi.org/10.1007/11499145_85.
Haasdonk B, Vossen A, Burkhardt H. Invariance in kernel methods by haar-integration kernels. In: Lecture Notes in Computer Science. 2005. p. 841–51.
Haasdonk, B., et al. “Invariance in kernel methods by haar-integration kernels.” Lecture Notes in Computer Science, vol. 3540, 2005, pp. 841–51. Scopus, doi:10.1007/11499145_85.
Haasdonk B, Vossen A, Burkhardt H. Invariance in kernel methods by haar-integration kernels. Lecture Notes in Computer Science. 2005. p. 841–851.

Published In

Lecture Notes in Computer Science

DOI

ISSN

0302-9743

Publication Date

January 1, 2005

Volume

3540

Start / End Page

841 / 851

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences