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116
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IPCO
2004
128views Optimization» more  IPCO 2004»
15 years 5 months ago
Low-Dimensional Faces of Random 0/1-Polytopes
Let P be a random 0/1-polytope in d with n(d) vertices, and denote by k(P) the k-face density of P, i.e., the quotient of the number of k-dimensional faces of P and `n(d) k+1
Volker Kaibel
122
Voted
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
16 years 4 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
136
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TIT
2010
112views Education» more  TIT 2010»
14 years 10 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»
15 years 9 months ago
A Randomized Algorithm for Two Servers in Cross Polytope Spaces
Wolfgang W. Bein, Kazuo Iwama, Jun Kawahara, Lawre...
123
Voted
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
16 years 4 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