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» On the discrepancy of combinatorial rectangles
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105
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FOCS
1996
IEEE
15 years 4 months ago
Discrepancy Sets and Pseudorandom Generators for Combinatorial Rectangles
A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space t...
Roy Armoni, Michael E. Saks, Avi Wigderson, Shiyu ...
RSA
2002
43views more  RSA 2002»
15 years 3 days ago
On the discrepancy of combinatorial rectangles
Let Bd n denote the family which consists of all subsets S1
Noga Alon, Benjamin Doerr, Tomasz Luczak, Tomasz S...
EATCS
2000
67views more  EATCS 2000»
15 years 8 days ago
Low-Discrepancy Sets For High-Dimensional Rectangles: A Survey
A sub-area of discrepancy theory that has received much attention in computer science recently, is that of explicit constructions of low-discrepancy point sets for various types o...
A. Srinivasan
94
Voted
STOC
1993
ACM
82views Algorithms» more  STOC 1993»
15 years 4 months ago
Efficient construction of a small hitting set for combinatorial rectangles in high dimension
Nathan Linial, Michael Luby, Michael E. Saks, Davi...
89
Voted
ECCC
2010
82views more  ECCC 2010»
15 years 16 days ago
Pseudorandom Generators for Combinatorial Checkerboards
We define a combinatorial checkerboard to be a function f : {1, . . . , m}d {1, -1} of the form f(u1, . . . , ud) = d i=1 fi(ui) for some functions fi : {1, . . . , m} {1, -1}. T...
Thomas Watson