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» Stochastic perturbations and smooth condition numbers
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JC
2010
95views more  JC 2010»
13 years 5 months ago
Stochastic perturbations and smooth condition numbers
In this paper we dene a new condition number adapted to directionally uniform perturbations in a general framework of maps between Riemannian manifolds. The denitions and theorem...
Diego Armentano
MP
2011
13 years 2 months ago
Smoothed analysis of condition numbers and complexity implications for linear programming
We perform a smoothed analysis of Renegar’s condition number for linear programming by analyzing the distribution of the distance to ill-posedness of a linear program subject to...
John Dunagan, Daniel A. Spielman, Shang-Hua Teng
FOCS
2007
IEEE
14 years 1 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
STOC
2004
ACM
150views Algorithms» more  STOC 2004»
14 years 7 months ago
Typical properties of winners and losers in discrete optimization
We present a probabilistic analysis for a large class of combinatorial optimization problems containing, e.g., all binary optimization problems defined by linear constraints and a...
René Beier, Berthold Vöcking
DEDS
2010
130views more  DEDS 2010»
13 years 7 months ago
Message Batching in Wireless Sensor Networks - A Perturbation Analysis Approach
Abstract-- We address the problem of batching messages generated at nodes of a sensor network for the purpose of reducing communication energy at the expense of added latency. We f...
Xu Ning, Christos G. Cassandras