In this paper, we use ideas from interior point algorithms to define a random walk on a polytope. We call this walk the Dikin walk after I. I. Dikin, because�...
Jan 9, 2012 � 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�...
We use this result to design an affine interior point algorithm that does a single random walk to solve linear programs approximately. More precisely, suppose Q�...
We use this result to design an affine interior point algorithm that does a single random walk to solve linear programs approximately. More precisely, suppose Q�...
Let K be a polytope in n defined by m linear inequalities. We give a new Markov chain algorithm to draw a nearly uniform.
An affine interior point algorithm is designed that does a <i>single</i> random walk to solve linear programs approximately and has a run-time that is�...
ABSTRACT. Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly.
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We use this result to design an affine interior point algorithm that does a single random walk to approximately solve linear programs with high probability in�...
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Sep 24, 2011 � I believe the primary method to generate uniform samples in convex polytopes is via a Markov-chain random walk. For example, the paper by Ravi�...
Random Walks on Polytopes and an Affine Interior Point Method for. Linear Programming. Ravi Kannan. Algorithms Research Group, Microsoft Research Labs, India.