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» Fast Bounds on the Distribution of Smooth Numbers
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ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
13 years 8 months ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
IPCO
2007
126views Optimization» more  IPCO 2007»
13 years 6 months ago
The Smoothed Number of Pareto Optimal Solutions in Bicriteria Integer Optimization
Abstract. A well established heuristic approach for solving various bicriteria optimization problems is to enumerate the set of Pareto optimal solutions, typically using some kind ...
René Beier, Heiko Röglin, Berthold V&o...
MP
2011
12 years 11 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
CDC
2010
IEEE
122views Control Systems» more  CDC 2010»
12 years 12 months ago
A lower bound for distributed averaging algorithms on the line graph
We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose ...
Alexander Olshevsky, John N. Tsitsiklis
JMLR
2002
140views more  JMLR 2002»
13 years 4 months ago
On Boosting with Polynomially Bounded Distributions
We construct a framework which allows an algorithm to turn the distributions produced by some boosting algorithms into polynomially smooth distributions (w.r.t. the PAC oracle...
Nader H. Bshouty, Dmitry Gavinsky