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» On the distribution of the number of monotone Boolean functi...
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FSTTCS
2001
Springer
13 years 9 months ago
On Polynomial Representations of Boolean Functions Related to Some Number Theoretic Problems
We say a polynomial P over ZZM strongly M -represents a Boolean function F if F(x) ≡ P(x) (mod M) for all x ∈ {0, 1}n . Similarly, P one-sidedly M -represents F if F(x) = 0 ⇐...
Erion Plaku, Igor Shparlinski
APPROX
2007
Springer
153views Algorithms» more  APPROX 2007»
13 years 10 months ago
Distribution-Free Testing Lower Bounds for Basic Boolean Functions
: In the distribution-free property testing model, the distance between functions is measured with respect to an arbitrary and unknown probability distribution D over the input dom...
Dana Glasner, Rocco A. Servedio
ECCC
2010
124views more  ECCC 2010»
13 years 4 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
STACS
2010
Springer
13 years 11 months ago
Evasiveness and the Distribution of Prime Numbers
Abstract. A Boolean function on N variables is called evasive if its decision-tree complexity is N. A sequence Bn of Boolean functions is eventually evasive if Bn is evasive for al...
László Babai, Anandam Banerjee, Ragh...