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» Lattice-based computation of Boolean functions
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COCO
2007
Springer
106views Algorithms» more  COCO 2007»
14 years 1 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
STOC
1993
ACM
141views Algorithms» more  STOC 1993»
13 years 11 months ago
Bounds for the computational power and learning complexity of analog neural nets
Abstract. It is shown that high-order feedforward neural nets of constant depth with piecewisepolynomial activation functions and arbitrary real weights can be simulated for Boolea...
Wolfgang Maass
CORR
2004
Springer
137views Education» more  CORR 2004»
13 years 7 months ago
Implementation of Logical Functions in the Game of Life
: The Game of Life cellular automaton is a classical example of a massively parallel collision-based computing device. The automaton exhibits mobile patterns, gliders, and generato...
Jean-Philippe Rennard
FOCS
2007
IEEE
14 years 2 months ago
Polylogarithmic Independence Can Fool DNF Formulas
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...
Louay Bazzi
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 2 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio