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» The Nonhomomorphicity of Boolean Functions
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SIAMCOMP
2011
13 years 2 months ago
The Chow Parameters Problem
Abstract. In the 2nd Annual FOCS (1961), Chao-Kong Chow proved that every Boolean threshold function is uniquely determined by its degree-0 and degree-1 Fourier coefficients. These...
Ryan O'Donnell, Rocco A. Servedio
FOCS
1991
IEEE
13 years 11 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
CRYPTO
2006
Springer
125views Cryptology» more  CRYPTO 2006»
13 years 11 months ago
On the Higher Order Nonlinearities of Algebraic Immune Functions
Abstract. One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always w...
Claude Carlet
CVPR
2008
IEEE
14 years 10 months ago
Exact inference in multi-label CRFs with higher order cliques
This paper addresses the problem of exactly inferring the maximum a posteriori solutions of discrete multi-label MRFs or CRFs with higher order cliques. We present a framework to ...
Srikumar Ramalingam, Pushmeet Kohli, Karteek Alaha...
FOCS
2007
IEEE
14 years 2 months ago
Polylogarithmic Independence Can Fool DNF Formulas
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...
Louay Bazzi