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STOC
2012
ACM
209views Algorithms» more  STOC 2012»
13 years 8 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...
STOC
1996
ACM
100views Algorithms» more  STOC 1996»
15 years 9 months ago
The Linear-Array Conjecture in Communication Complexity is False
A linear array network consists of k + 1 processors P0; P1; : : : ; Pk with links only between Pi and Pi+1 0 i k. It is required to compute some boolean function f x; y in this n...
Eyal Kushilevitz, Nathan Linial, Rafail Ostrovsky
FOCS
1999
IEEE
15 years 10 months ago
Boosting and Hard-Core Sets
This paper connects two fundamental ideas from theoretical computer science: hard-core set construction, a type of hardness amplification from computational complexity, and boosti...
Adam Klivans, Rocco A. Servedio
TCS
2008
15 years 5 months ago
Expanders and time-restricted branching programs
The replication number of a branching program is the minimum number R such that along every accepting computation at most R variables are tested more than once; the sets of variab...
Stasys Jukna
FOCS
2009
IEEE
16 years 12 days ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson