Issue No. 02 - February (1972 vol. 21)
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.
G. T. Toussaint, "Polynomial Representation of Classifiers with Independent Discrete-Valued Features," in IEEE Transactions on Computers, vol. 21, no. , pp. 205-208, 1972.