A lower bound on the performance of the quadratic discriminant function |
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Authors: | Tristrom Cooke |
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Affiliation: | Cooperative Research Centre for Sensor Signals and Information Processing, SPRI Building, 1 Mawson Lakes Boulevard, Mawson Lakes, S.A. 5095, Australia |
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Abstract: | The quadratic discriminant function is often used to separate two classes of points in a multidimensional space. When the two classes are normally distributed, this results in the optimum separation. In some cases however, the assumption of normality is a poor one and the classification error is increased. The current paper derives an upper bound for the classification error due to a quadratic decision surface. The bound is strict when the class means and covariances and the quadratic discriminant surface satisfy certain specified symmetry conditions. |
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Keywords: | Quadratic discriminant Lower error bound Non-Gaussian |
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