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COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 2 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
COCO
2009
Springer
98views Algorithms» more  COCO 2009»
14 years 2 months ago
Extractors for Varieties
We study the task of randomness extraction from sources which are distributed uniformly on an unknown algebraic variety. In other words, we are interested in constructing a functi...
Zeev Dvir
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 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
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
COCO
2009
Springer
113views Algorithms» more  COCO 2009»
13 years 11 months ago
Extractors for Low-Weight Affine Sources
We give polynomial time computable extractors for low-weight affince sources. A distribution is affine if it samples a random points from some unknown low dimensional subspace of ...
Anup Rao