Geodesic
Construction of nonlinear discrimination function based on the MDL criterion
Kybernetika, Tome 34 (1998) no. 4, p. [467].

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Although a nonlinear discrimination function may be superior to linear or quadratic classifiers, it is difficult to construct such a function. In this paper, we propose a method to construct a nonlinear discrimination function using Legendre polynomials. The selection of an optimal set of Legendre polynomials is determined by the MDL (Minimum Description Length) criterion. Results using many real data show the effectiveness of this method.
Classification : 62H25, 62H30, 68T05
Keywords: nonlinear discrimination function; Legendre polynomials 
@article{KYB_1998__34_4_a18,
     author = {Sato, Manabu and Kudo, Mineichi and Toyama, Jun and Shimbo, Masaru},
     title = {Construction of nonlinear discrimination function based on the {MDL} criterion},
     journal = {Kybernetika},
     pages = {[467]},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {1998},
     zbl = {1274.68348},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998__34_4_a18/}
}
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Sato, Manabu; Kudo, Mineichi; Toyama, Jun; Shimbo, Masaru. Construction of nonlinear discrimination function based on the MDL criterion. Kybernetika, Tome 34 (1998) no. 4, p. [467]. http://geodesic.mathdoc.fr/item/KYB_1998__34_4_a18/