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» On the Diameter of Lattice Polytopes
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JCT
2011
108views more  JCT 2011»
14 years 4 months ago
The number of extreme points of tropical polyhedra
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...
Xavier Allamigeon, Stéphane Gaubert, Ricard...
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
15 years 10 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
CASES
2006
ACM
15 years 3 months ago
Memory optimization by counting points in integer transformations of parametric polytopes
Memory size reduction and memory accesses optimization are crucial issues for embedded systems. In the context of affine programs, these two challenges are classically tackled by ...
Rachid Seghir, Vincent Loechner
IJAR
2011
86views more  IJAR 2011»
14 years 1 months ago
On open questions in the geometric approach to structural learning Bayesian nets
The basic idea of an algebraic approach to learning Bayesian network (BN) structures is to represent every BN structure by a certain uniquely determined vector, called the standar...
Milan Studený, Jirí Vomlel
ICIP
2007
IEEE
15 years 1 months ago
Finding Optimal Integral Sampling Lattices for a given Frequency Support in Multidimensions
The search for alias-free sampling lattices for a given frequency support, in particular those lattices achieving minimum sampling densities, is a fundamental issue in various app...
Yue M. Lu, Minh N. Do