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» Random half-integral polytopes
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STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 8 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan
TIT
2010
112views Education» more  TIT 2010»
13 years 2 months ago
Exponential bounds implying construction of compressed sensing matrices, error-correcting codes, and neighborly polytopes by ran
In [12] the authors proved an asymptotic sampling theorem for sparse signals, showing that n random measurements permit to reconstruct an N-vector having k nonzeros provided n >...
David L. Donoho, Jared Tanner
WAOA
2007
Springer
120views Algorithms» more  WAOA 2007»
14 years 1 months ago
A Randomized Algorithm for Two Servers in Cross Polytope Spaces
Wolfgang W. Bein, Kazuo Iwama, Jun Kawahara, Lawre...
EJC
2007
13 years 7 months ago
Random inscribing polytopes
Ross M. Richardson, Van H. Vu, Lei Wu
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
14 years 7 months ago
A randomized polynomial-time simplex algorithm for linear programming
We present the first randomized polynomial-time simplex algorithm for linear programming. Like the other known polynomial-time algorithms for linear programming, its running time ...
Jonathan A. Kelner, Daniel A. Spielman