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COCO
2009
Springer
106views Algorithms» more  COCO 2009»
16 years 1 months ago
Increasing the Gap between Descriptional Complexity and Algorithmic Probability
The coding theorem is a fundamental result of algorithmic information theory. A well known theorem of G´acs shows that the analog of the coding theorem fails for continuous sample...
Adam R. Day
COCO
2009
Springer
98views Algorithms» more  COCO 2009»
16 years 1 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
124views Algorithms» more  COCO 2009»
16 years 1 months ago
The Maximum Communication Complexity of Multi-Party Pointer Jumping
—We study the one-way number-on-the-forhead (NOF) communication complexity of the k-layer pointer jumping problem. Strong lower bounds for this problem would have important impli...
Joshua Brody
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
16 years 1 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»
16 years 1 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
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