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» Coresets for polytope distance
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DCG
2008
76views more  DCG 2008»
15 years 6 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»
15 years 4 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»
13 years 8 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»
15 years 6 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»
16 years 6 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