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COCOA
2010
Springer
13 years 9 months ago
Bounds for Nonadaptive Group Tests to Estimate the Amount of Defectives
The classical and well-studied group testing problem is to find d defectives in a set of n elements by group tests, which tell us for any chosen subset whether it contains defectiv...
Peter Damaschke, Azam Sheikh Muhammad
CORR
2007
Springer
95views Education» more  CORR 2007»
13 years 11 months ago
Support-Graph Preconditioners for 2-Dimensional Trusses
We use support theory, in particular the fretsaw extensions of Shklarski and Toledo [ST06a], to design preconditioners for the stiffness matrices of 2-dimensional truss structure...
Samuel I. Daitch, Daniel A. Spielman
ECCC
2006
77views more  ECCC 2006»
13 years 11 months ago
Extractors and condensers from univariate polynomials
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
Venkatesan Guruswami, Christopher Umans, Salil P. ...
SODA
2008
ACM
100views Algorithms» more  SODA 2008»
14 years 19 days ago
On allocations that maximize fairness
We consider a problem known as the restricted assignment version of the max-min allocation problem with indivisible goods. There are n items of various nonnegative values and m pl...
Uriel Feige
FOCS
2008
IEEE
14 years 5 months ago
Kakeya Sets, New Mergers and Old Extractors
A merger is a probabilistic procedure which extracts the randomness out of any (arbitrarily correlated) set of random variables, as long as one of them is uniform. Our main result...
Zeev Dvir, Avi Wigderson
FOCS
2008
IEEE
14 years 5 months ago
Spherical Cubes and Rounding in High Dimensions
What is the least surface area of a shape that tiles Rd under translations by Zd ? Any such shape must have volume 1 and hence surface area at least that of the volume-1 ball, nam...
Guy Kindler, Ryan O'Donnell, Anup Rao, Avi Wigders...