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APPROX
2011
Springer
249views Algorithms» more  APPROX 2011»
12 years 7 months ago
A Canonical Form for Testing Boolean Function Properties
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
Dana Dachman-Soled, Rocco A. Servedio
EUROCRYPT
2000
Springer
13 years 11 months ago
Propagation Characteristics and Correlation-Immunity of Highly Nonlinear Boolean Functions
We investigate the link between the nonlinearity of a Boolean function and its propagation characteristics. We prove that highly nonlinear functions usually have good propagation p...
Anne Canteaut, Claude Carlet, Pascale Charpin, Car...
CIE
2010
Springer
14 years 14 days ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
STACS
2005
Springer
14 years 1 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
GECCO
2009
Springer
14 years 2 months ago
On the scalability of XCS(F)
Many successful applications have proven the potential of Learning Classifier Systems and the XCS classifier system in particular in datamining, reinforcement learning, and func...
Patrick O. Stalph, Martin V. Butz, David E. Goldbe...