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An Approach for the Realization of Threshold Functions of Order r
October 1969 (vol. 18 no. 10)
pp. 923-939
In this paper we shall study the problem of nonlinear separation. As usual, a Boolean function F of n binary variables, xl,..., xn, xiS{1,0}, i=1,..., n, will be represented by a set of vertices C in the n-dimensional Euclidean space Enwhere each vertex has n binary-valued components, {1,0}.
Index Terms:
Contradiction equation, discriminate function, echolon matrix, high-order threshold function, homogeneous equation, miniimum degree ? function, orthogonal function, positivization, statistical recognition, successive higher ordering method, ? function of degree r, variable weight, vertex weight method, vertex weight.
Citation:
H.R. Hwa, C.L. Sheng, "An Approach for the Realization of Threshold Functions of Order r," IEEE Transactions on Computers, vol. 18, no. 10, pp. 923-939, Oct. 1969, doi:10.1109/T-C.1969.222548
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