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Clifford Support Vector Machines for Classification

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Artificial Intelligence and Soft Computing - ICAISC 2004 (ICAISC 2004)

Abstract

This paper introduces the Clifford Support Vector Machines as a generalization of the real- and complex- valued Support Vector Machines. The major advantage of this approach is that one requires only one CSVM which can admit multiple multivector inputs and it can carry multi-class classification. In contrast one would need many real valued SVMs for a multi-class problem which is time consuming.

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References

  1. Bayro-Corrochano, E.: Geometric Computing for Perception Action Systems. Springer, New York (2001)

    Book  MATH  Google Scholar 

  2. Bayro-Corrochano, E., Arana-Daniel, N., Vallejo-Gutierrez, R.: Design of kernels for support multivector machines involving the Clifford geometric product and the conformal geometric neuron. In: Proc. of the Int. Join Conference on Neural Networks 2003, Portland, Oregon, USA, July 20-24, pp. 2893–2898 (2003)

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  3. Li, Hestenes, D., Rockwood, A.: Generalized homogeneous coordinates for computational geometry. In: Sommer, G. (ed.) Geometric Computing with Clifford Algebra, pp. 27–59. Springer, Heidelberg (2001)

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  4. Vapnik, V.N.: Statistical Learning Theory. Wiley, New York (1998)

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  5. Zhang, L., Zhou, W., Jiao, L.: Complex-valued support vector machine for classification. To appear in a special issue on learning of IEEE Trans. Signal Processing (2004)

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© 2004 Springer-Verlag Berlin Heidelberg

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Bayro-Corrochano, E., Arana-Daniel, N., Vallejo-Gutiérres, J.R. (2004). Clifford Support Vector Machines for Classification. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_2

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  • DOI: https://doi.org/10.1007/978-3-540-24844-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22123-4

  • Online ISBN: 978-3-540-24844-6

  • eBook Packages: Springer Book Archive

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