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» Approximating Boolean Functions by OBDDs
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COCOON
2009
Springer
14 years 3 months ago
On the Readability of Monotone Boolean Formulae
Golumbic et al. [Discrete Applied Mathematics 154(2006) 1465-1477] defined the readability of a monotone Boolean function f to be the minimum integer k such that there exists an ...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
STOC
2012
ACM
209views Algorithms» more  STOC 2012»
11 years 11 months ago
Nearly optimal solutions for the chow parameters problem and low-weight approximation of halfspaces
The Chow parameters of a Boolean function f : {−1, 1}n → {−1, 1} are its n + 1 degree-0 and degree-1 Fourier coefficients. It has been known since 1961 [Cho61, Tan61] that ...
Anindya De, Ilias Diakonikolas, Vitaly Feldman, Ro...
DATE
2008
IEEE
93views Hardware» more  DATE 2008»
14 years 3 months ago
A Fast Approximation Algorithm for MIN-ONE SAT
In this paper, we propose a novel approximation algorithm (RelaxSAT) for MIN-ONE SAT. RelaxSAT generates a set of constraints from the objective function to guide the search. The ...
Lei Fang, Michael S. Hsiao
ADCM
2007
104views more  ADCM 2007»
13 years 8 months ago
Shape preserving histogram approximation
We present a new method for reconstructing the density function underlying a given histogram. First we analyze the univariate case taking the approximating function in a class of q...
Paolo Costantini, Francesca Pelosi
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 3 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