ON CERTAIN GROUP INVARIANT MERCER KERNELS

Bernd-Jürgen Falkowski

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Paper

ON CERTAIN GROUP INVARIANT MERCER KERNELS

Topics: Pattern Recognition; Support Vector Machines and Applications

In Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICNC, 517-521, 2009 , Funchal - Madeira, Portugal

Author: Bernd-Jürgen Falkowski

Affiliation: University of Applied Sciences Stralsund, Germany

Keyword(s): Mercer Kernels, Group Invariance, Radial Functions

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Biomedical Engineering ; Biomedical Signal Processing ; Computational Intelligence ; Data Manipulation ; Health Engineering and Technology Applications ; Human-Computer Interaction ; Methodologies and Methods ; Neural Networks ; Neurocomputing ; Neurotechnology, Electronics and Informatics ; Pattern Recognition ; Physiological Computing Systems ; Sensor Networks ; Signal Processing ; Soft Computing ; Support Vector Machines and Applications ; Theory and Methods

Abstract: For the construction of support vector machines Mercer Kernels are of considerable importance. Since the conditions of Mercer’s theorem are hard to verify in general, a systematic (constructive) description of Mercer kernels which are invariant under a transitive group action is provided. As an example kernels on Euclidean space invariant under the Euclidean motion group are treated. En passant a minor but confusing error in a seminal paper due to Gangolli is rectified. In addition an interesting relation to radial basis functions is exhibited.

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Paper citation in several formats:

Falkowski, B. (2009). ON CERTAIN GROUP INVARIANT MERCER KERNELS. In Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICNC; ISBN 978-989-674-014-6; ISSN 2184-3236, SciTePress, pages 517-521. DOI: 10.5220/0002277805170521

@conference{icnc09,
author={Bernd{-}Jürgen Falkowski.},
title={ON CERTAIN GROUP INVARIANT MERCER KERNELS},
booktitle={Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICNC},
year={2009},
pages={517-521},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002277805170521},
isbn={978-989-674-014-6},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICNC
TI - ON CERTAIN GROUP INVARIANT MERCER KERNELS
SN - 978-989-674-014-6
IS - 2184-3236
AU - Falkowski, B.
PY - 2009
SP - 517
EP - 521
DO - 10.5220/0002277805170521
PB - SciTePress