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CDC
2010
IEEE
176views Control Systems» more  CDC 2010»
12 years 11 months ago
Random projection algorithms for convex set intersection problems
The focus of this paper is on the set intersection problem for closed convex sets admitting projection operation in a closed form. The objective is to investigate algorithms that w...
Angelia Nedic
CORR
2011
Springer
177views Education» more  CORR 2011»
12 years 11 months ago
A Truthful Randomized Mechanism for Combinatorial Public Projects via Convex Optimization
In Combinatorial Public Projects, there is a set of projects that may be undertaken, and a set of selfinterested players with a stake in the set of projects chosen. A public plann...
Shaddin Dughmi
CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 4 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
CORR
2010
Springer
148views Education» more  CORR 2010»
13 years 4 months ago
Perturbation Resilience and Superiorization of Iterative Algorithms
Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there...
Yair Censor, R. Davidi, Gabor T. Herman
CORR
2010
Springer
113views Education» more  CORR 2010»
13 years 4 months ago
Opaque sets
The problem of finding "small" sets that meet every straight-line which intersects a given convex region was initiated by Mazurkiewicz in 1916. We call such a set an opa...
Adrian Dumitrescu, János Pach