Functional Discriminant Coordinates |
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Authors: | Tomasz Górecki Mirosław Krzyśko Łukasz Waszak |
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Institution: | 1. Faculty of Mathematics and Computer Science , Adam Mickiewicz University , Poznań , Poland tomasz.gorecki@amu.edu.pl;3. Faculty of Mathematics and Computer Science , Adam Mickiewicz University , Poznań , Poland |
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Abstract: | In this article we propose a new method of construction of discriminant coordinates and their kernel variant based on the regularization (ridge regression). Moreover, we compare the case of discriminant coordinates, functional discriminant coordinates and the kernel version of functional discriminant coordinates on 20 data sets from a wide variety of application domains using values of the criterion of goodness and statistical tests. Our experiments show that the kernel variant of discriminant coordinates provides significantly more accurate results on the examined data sets. |
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Keywords: | Discriminant coordinates Functional data Kernel Orthonormal basis Reproducing kernel Hilbert space |
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