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» Coresets for polytope distance
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DCG
2008
76views more  DCG 2008»
13 years 7 months ago
Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
In [GL] it was shown that a polytope with few vertices is far from being symmetric in the Banach-Mazur distance. More precisely, it was shown that Banach-Mazur distance between su...
E. D. Gluskin, A. E. Litvak
JBCB
2010
123views more  JBCB 2010»
13 years 6 months ago
Characterizing the Space of interatomic Distance Distribution Functions Consistent with Solution Scattering Data
: Scattering of neutrons and x-rays from molecules in solution offers alternative approaches to the studying of a wide range of macromolecular structures in their solution state w...
Paritosh A. Kavathekar, Bruce A. Craig, Alan M. Fr...
SODA
2012
ACM
196views Algorithms» more  SODA 2012»
11 years 10 months ago
Polytope approximation and the Mahler volume
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
TIT
2008
122views more  TIT 2008»
13 years 7 months ago
An Efficient Pseudocodeword Search Algorithm for Linear Programming Decoding of LDPC Codes
Abstract--In linear programming (LP) decoding of a low-density parity-check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over ...
Michael Chertkov, Mikhail G. Stepanov
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