FOCS '61 Proceedings of the 2nd Annual Symposium on Switching Circuit Theory and Logical Design (SWCT 1961)
Boundary Points of Threshold Functions
IEEE Transactions on Computers
Counting and enumerating aggregate classifiers
Discrete Applied Mathematics
Minimal Representations for Majority Games
CiE '07 Proceedings of the 3rd conference on Computability in Europe: Computation and Logic in the Real World
Any 2-asummable bipartite function is weighted threshold
Discrete Applied Mathematics
On the Number of Two-Dimensional Threshold Functions
SIAM Journal on Discrete Mathematics
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ACM Journal on Emerging Technologies in Computing Systems (JETC)
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The number of threshold functions of eight variables is counted by ILLIAC II, the computer of the University of Illinois. Sets of optimum weights of majority elements realizing these functions also are investigated. Actually, canonical positive self-dual threshold functions of nine variables are investigated instead of directly investigating threshold functions of eight variables because it is easier to deal with them. The number and optimum weights of threshold functions of eight variables are easily obtained from these functions of nine variables and their realization.