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STOC
2006
ACM
108views Algorithms» more  STOC 2006»
15 years 10 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
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
15 years 7 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
COMPGEOM
2010
ACM
15 years 3 months ago
Orthogonal range reporting: query lower bounds, optimal structures in 3-d, and higher-dimensional improvements
Orthogonal range reporting is the problem of storing a set of n points in d-dimensional space, such that the k points in an axis-orthogonal query box can be reported efficiently. ...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
15 years 10 months ago
On the fourier tails of bounded functions over the discrete cube
In this paper we consider bounded real-valued functions over the discrete cube, f : {-1, 1}n [-1, 1]. Such functions arise naturally in theoretical computer science, combinatorics...
Irit Dinur, Ehud Friedgut, Guy Kindler, Ryan O'Don...
SC
2009
ACM
15 years 4 months ago
Robust workflows for science and engineering
Scientific workflow tools allow users to specify complex computational experiments and provide a good framework for robust science and engineering. Workflows consist of pipelines ...
David Abramson, Blair Bethwaite, Colin Enticott, S...