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STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 5 months ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan
ICCV
2007
IEEE
14 years 7 months ago
Finite-Element Level-Set Curve Particles
Particle filters encode a time-evolving probability density by maintaining a random sample from it. Level sets represent closed curves as zero crossings of functions of two variab...
Tingting Jiang, Carlo Tomasi
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
14 years 5 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
CORR
2010
Springer
154views Education» more  CORR 2010»
13 years 2 months ago
Complexity of Homogeneous Co-Boolean Constraint Satisfaction Problems
Constraint Satisfaction Problems (CSP) constitute a convenient way to capture many combinatorial problems. The general CSP is known to be NP-complete, but its complexity depends on...
Florian Richoux
CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
13 years 9 days ago
Formal analysis of piecewise affine systems through formula-guided refinement
Abstract-- We present a computational framework for identifying a set of initial states from which all trajectories of a piecewise affine (PWA) system satisfy a Linear Temporal Log...
Boyan Yordanov, Jana Tumova, Calin Belta, Ivana Ce...