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» Approximating Boolean Functions by OBDDs
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COCOON
2009
Springer
15 years 8 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»
13 years 4 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...
64
Voted
DATE
2008
IEEE
93views Hardware» more  DATE 2008»
15 years 8 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»
15 years 2 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
120
Voted
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
15 years 8 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