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» The Nonhomomorphicity of Boolean Functions
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ACISP
2003
Springer
14 years 1 months ago
New Constructions for Resilient and Highly Nonlinear Boolean Functions
Abstract. We explore three applications of geometric sequences in constructing cryptographic Boolean functions. First, we construct 1-resilient functions of n Boolean variables wit...
Khoongming Khoo, Guang Gong
PROPERTYTESTING
2010
13 years 5 months ago
Testing by Implicit Learning: A Brief Survey
We give a high-level survey of the "testing by implicit learning" paradigm, and explain some of the property testing results for various Boolean function classes that ha...
Rocco A. Servedio
CIE
2010
Springer
14 years 20 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...
IWANN
2005
Springer
14 years 1 months ago
Role of Function Complexity and Network Size in the Generalization Ability of Feedforward Networks
The generalization ability of different sizes architectures with one and two hidden layers trained with backpropagation combined with early stopping have been analyzed. The depend...
Leonardo Franco, José M. Jerez, José...