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» Random half-integral polytopes
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STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 5 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»
12 years 12 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»
13 years 11 months ago
A Randomized Algorithm for Two Servers in Cross Polytope Spaces
Wolfgang W. Bein, Kazuo Iwama, Jun Kawahara, Lawre...
EJC
2007
13 years 5 months ago
Random inscribing polytopes
Ross M. Richardson, Van H. Vu, Lei Wu
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
14 years 5 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