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ORL
2011
12 years 10 months ago
Random half-integral polytopes
We show that half-integral polytopes obtained as the convex hull of a random set of half-integral points of the 0/1 cube have rank as high as Ω(log n/ log log n) with positive pr...
Gábor Braun, Sebastian Pokutta
DCG
2007
94views more  DCG 2007»
13 years 7 months ago
Banach-Mazur Distances and Projections on Random Subgaussian Polytopes
We consider polytopes in Rn that are generated by N vectors in Rn whose coordinates are independent subgaussian random variables. (A particular case of such polytopes are symmetri...
Rafal Latala, Piotr Mankiewicz, Krzysztof Oleszkie...
GD
2006
Springer
13 years 11 months ago
Morphing Planar Graphs in Spherical Space
We consider the problem of intersection-free planar graph morphing, and in particular, a generalization from Euclidean space to spherical space. We show that there exists a continu...
Stephen G. Kobourov, Matthew Landis
SODA
2003
ACM
115views Algorithms» more  SODA 2003»
13 years 8 months ago
Random walks on the vertices of transportation polytopes with constant number of sources
We consider the problem of uniformly sampling a vertex of a transportation polytope with m sources and n destinations, where m is a constant. We analyse a natural random walk on t...
Mary Cryan, Martin E. Dyer, Haiko Müller, Lee...
JMLR
2012
11 years 9 months ago
Message-Passing Algorithms for MAP Estimation Using DC Programming
We address the problem of finding the most likely assignment or MAP estimation in a Markov random field. We analyze the linear programming formulation of MAP through the lens of...
Akshat Kumar, Shlomo Zilberstein, Marc Toussaint