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» A Shadow Simplex Method for Infinite Linear Programs
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IOR
2010
98views more  IOR 2010»
13 years 2 months ago
A Shadow Simplex Method for Infinite Linear Programs
We present a Simplex-type algorithm, that is, an algorithm that moves from one extreme point of the infinite-dimensional feasible region to another not necessarily adjacent extrem...
Archis Ghate, Dushyant Sharma, Robert L. Smith
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
14 years 5 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
CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 5 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
ATMOS
2008
187views Optimization» more  ATMOS 2008»
13 years 6 months ago
Solving Periodic Timetable Optimisation Problems by Modulo Simplex Calculations
In the last 15 years periodic timetable problems have found much interest in the combinatorial optimization community. We will focus on the optimisation task to minimise a weighted...
Karl Nachtigall, Jens Opitz
ICPR
2008
IEEE
13 years 11 months ago
A fast revised simplex method for SVM training
Active set methods for training the Support Vector Machines (SVM) are advantageous since they enable incremental training and, as we show in this research, do not exhibit exponent...
Christopher Sentelle, Georgios C. Anagnostopoulos,...