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Polynomial Representation of Classifiers with Independent Discrete-Valued Features
February 1972 (vol. 21 no. 2)
pp. 205-208
Godfried T. Toussaint, Department of Electrical Engineering, University of British Columbia, Vancouver 8, B. C., Canada.
It is shown that for n-valued conditionally independent features a large family of classifiers can be expressed as an (n¿1)st-degree polynomial discriminant function. The usefulness of the polynomial expansion is discussed and demonstrated by considering the first-order Minkowski metric, the Euclidean distance, and Bayes' classifiers for the ternary-feature case. Finally, some interesting side observations on the classifiers are made with respect to optimality and computational requirements.
Citation:
Godfried T. Toussaint, "Polynomial Representation of Classifiers with Independent Discrete-Valued Features," IEEE Transactions on Computers, vol. 21, no. 2, pp. 205-208, Feb. 1972, doi:10.1109/TC.1972.5008928
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