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COLT
2008
Springer
13 years 6 months ago
Almost Tight Upper Bound for Finding Fourier Coefficients of Bounded Pseudo- Boolean Functions
A pseudo-Boolean function is a real-valued function defined on {0, 1}n . A k-bounded function is a pseudo-Boolean function that can be expressed as a sum of subfunctions each of w...
Sung-Soon Choi, Kyomin Jung, Jeong Han Kim
ICALP
2009
Springer
14 years 5 months ago
Testing Fourier Dimensionality and Sparsity
We present a range of new results for testing properties of Boolean functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the propert...
Parikshit Gopalan, Ryan O'Donnell, Rocco A. Served...
COCO
2007
Springer
85views Algorithms» more  COCO 2007»
13 years 11 months ago
Norms, XOR Lemmas, and Lower Bounds for GF(2) Polynomials and Multiparty Protocols
This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and GF(2) polynomials. The key is t...
Emanuele Viola, Avi Wigderson
DAC
1999
ACM
13 years 9 months ago
Using Lower Bounds During Dynamic BDD Minimization
Ordered Binary Decision Diagrams BDDs are a data structure for representation and manipulation of Boolean functions often applied in VLSI CAD. The choice of the variable orderin...
Rolf Drechsler, Wolfgang Günther
ECCC
2010
117views more  ECCC 2010»
13 years 3 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...