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» Local Computation: Lower and Upper Bounds
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DCC
2006
IEEE
14 years 7 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
FSTTCS
2009
Springer
14 years 1 months ago
Non-Local Box Complexity and Secure Function Evaluation
ABSTRACT. A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distribu...
Marc Kaplan, Iordanis Kerenidis, Sophie Laplante, ...
IWPEC
2009
Springer
14 years 1 months ago
A Probabilistic Approach to Problems Parameterized above or below Tight Bounds
We introduce a new approach for establishing fixed-parameter tractability of problems parameterized above tight lower bounds or below tight upper bounds. To illustrate the approac...
Gregory Gutin, Eun Jung Kim, Stefan Szeider, Ander...
TCS
2011
13 years 2 months ago
Bounds for the generalized repetition threshold
The notion of repetition threshold, which is the object of Dejean’s conjecture (1972), was generalized by Ilie, Ochem, and Shallit in 2005, to include the lengths of the avoided ...
Francesca Fiorenzi, Pascal Ochem, Elise Vaslet
JAIR
2011
114views more  JAIR 2011»
12 years 10 months ago
Properties of Bethe Free Energies and Message Passing in Gaussian Models
We address the problem of computing approximate marginals in Gaussian probabilistic models by using mean field and fractional Bethe approximations. We define the Gaussian fracti...
Botond Cseke, Tom Heskes