Abstract. The number of Boolean threshold functions is investigated. A new lower bound on the number of n-dimensional threshold functions on a set {0, 1,...,K − 1} is given. 1
We show that every monotone formula that computes the threshold function THk, n, 2≤ , k≤n/2, has siz...
We show average-case lower bounds for explicit Boolean functions against bounded-depth threshold cir...
Abstract—A new algorithm for obtaining efficient architectures composed of threshold gates that impl...
AbstractViewing n-variable Boolean functions as vectors in R2n, we invoke basic tools from linear al...
V diplomskem delu smo najprej definirali funkcije na končnih množicah. Nato smo govorili o dvorazsež...
A set S of Boolean points is a specifying set for a threshold function f if the only threshold funct...
International audienceA linear pseudo-Boolean constraint (LPB) is an expression of the form a_1 l_1...
'~le introduce a geometric approach for investigating the power of threshold circuits. Viewing ...
Abstract—We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − ...
The computation of threshold functions using formulas over the basis {AND, OR, NOT} is considered. I...
Lower and upper bounds for the capacity of multilevel threshold elements are estimated, using two es...
Abstract. The analysis of linear threshold Boolean functions has recently attracted the attention of...
A graph G on n vertices is a threshold graph if there exist real numbers $$a:1,a_2, \ldots, a_n$$ an...
A simple way to generate a Boolean function is to take the sign of a real polynomial in $n$ variable...
Given any linear threshold function f on n Boolean vari-ables, we construct a linear threshold funct...
We show that every monotone formula that computes the threshold function THk, n, 2≤ , k≤n/2, has siz...
We show average-case lower bounds for explicit Boolean functions against bounded-depth threshold cir...
Abstract—A new algorithm for obtaining efficient architectures composed of threshold gates that impl...
AbstractViewing n-variable Boolean functions as vectors in R2n, we invoke basic tools from linear al...
V diplomskem delu smo najprej definirali funkcije na končnih množicah. Nato smo govorili o dvorazsež...
A set S of Boolean points is a specifying set for a threshold function f if the only threshold funct...
International audienceA linear pseudo-Boolean constraint (LPB) is an expression of the form a_1 l_1...
'~le introduce a geometric approach for investigating the power of threshold circuits. Viewing ...
Abstract—We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − ...
The computation of threshold functions using formulas over the basis {AND, OR, NOT} is considered. I...
Lower and upper bounds for the capacity of multilevel threshold elements are estimated, using two es...
Abstract. The analysis of linear threshold Boolean functions has recently attracted the attention of...
A graph G on n vertices is a threshold graph if there exist real numbers $$a:1,a_2, \ldots, a_n$$ an...
A simple way to generate a Boolean function is to take the sign of a real polynomial in $n$ variable...
Given any linear threshold function f on n Boolean vari-ables, we construct a linear threshold funct...
We show that every monotone formula that computes the threshold function THk, n, 2≤ , k≤n/2, has siz...
We show average-case lower bounds for explicit Boolean functions against bounded-depth threshold cir...
Abstract—A new algorithm for obtaining efficient architectures composed of threshold gates that impl...