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.
Godfried T. Toussaint, "Polynomial Representation of Classifiers with Independent Discrete-Valued Features", IEEE Transactions on Computers, vol.21, no. 2, pp. 205-208, February 1972, doi:10.1109/TC.1972.5008928