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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 4 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 10 months ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao
STOC
2009
ACM
152views Algorithms» more  STOC 2009»
14 years 4 months ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira
COCO
2005
Springer
130views Algorithms» more  COCO 2005»
13 years 11 months ago
Pseudorandom Bits for Constant Depth Circuits with Few Arbitrary Symmetric Gates
We exhibit an explicitly computable ‘pseudorandom’ generator stretching l bits into m(l) = lΩ(log l) bits that look random to constant-depth circuits of size m(l) with log m...
Emanuele Viola
STOC
2005
ACM
184views Algorithms» more  STOC 2005»
14 years 3 months ago
Coresets in dynamic geometric data streams
A dynamic geometric data stream consists of a sequence of m insert/delete operations of points from the discrete space {1, . . . , ∆}d [26]. We develop streaming (1 + )-approxim...
Gereon Frahling, Christian Sohler