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CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 7 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
RSA
2010
118views more  RSA 2010»
13 years 2 months ago
Asymptotic equivalence and contiguity of some random graphs
We show that asymptotic equivalence, in a strong form, holds between two random graph models with slightly differing edge probabilities under substantially weaker conditions than w...
Svante Janson
CDC
2010
IEEE
112views Control Systems» more  CDC 2010»
13 years 2 months ago
An overview of recent results on the identification of sparse channels using random probes
In this paper, we collect and discuss some of the recent theoretical results on channel identification using a random probe sequence. These results are part of the body of work kno...
Justin Romberg
CORR
2010
Springer
109views Education» more  CORR 2010»
13 years 7 months ago
Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity
A Direct Sum Theorem holds in a model of computation, when for every problem solving some k input instances together is k times as expensive as solving one. We show that Direct Su...
Rahul Jain, Hartmut Klauck, Miklos Santha
FLAIRS
2006
13 years 9 months ago
Some Second Order Effects on Interval Based Probabilities
In real-life decision analysis, the probabilities and values of consequences are in general vague and imprecise. One way to model imprecise probabilities is to represent a probabi...
David Sundgren, Mats Danielson, Love Ekenberg