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» Upper and lower Ramsey bounds in bounded arithmetic
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CORR
2008
Springer
138views Education» more  CORR 2008»
14 years 12 months ago
On the Capacity of Free-Space Optical Intensity Channels
New upper and lower bounds are presented on the capacity of the free-space optical intensity channel. This channel is characterized by inputs that are nonnegative (representing the...
Amos Lapidoth, Stefan M. Moser, Michele A. Wigger
CORR
2010
Springer
76views Education» more  CORR 2010»
14 years 12 months ago
Improved Bounds on Restricted Isometry Constants for Gaussian Matrices
The Restricted Isometry Constants (RIC) of a matrix A measures how close to an isometry is the action of A on vectors with few nonzero entries, measured in the 2 norm. Specifically...
Bubacarr Bah, Jared Tanner
COCO
2004
Springer
78views Algorithms» more  COCO 2004»
15 years 5 months ago
Language Compression and Pseudorandom Generators
The language compression problem asks for succinct descriptions of the strings in a language A such that the strings can be efficiently recovered from their description when given...
Harry Buhrman, Troy Lee, Dieter van Melkebeek
SIAMDM
2000
69views more  SIAMDM 2000»
14 years 11 months ago
Bounds for Dispersers, Extractors, and Depth-Two Superconcentrators
We show that the size of the smallest depth-two N-superconcentrator is (N log2 N/ log log N). Before this work, optimal bounds were known for all depths except two. For the upper b...
Jaikumar Radhakrishnan, Amnon Ta-Shma
CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 9 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...