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» Rates of convergence for Quicksort
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JAL
2002
69views more  JAL 2002»
13 years 5 months ago
Rates of convergence for Quicksort
The normalized number of key comparisons needed to sort a list of randomly permuted items by the Quicksort algorithm is known to converge in distribution. We identify the rate of ...
Ralph Neininger, Ludger Rüschendorf
CDC
2010
IEEE
196views Control Systems» more  CDC 2010»
13 years 12 days ago
Convergence and convergence rate of stochastic gradient search in the case of multiple and non-isolated extrema
The asymptotic behavior of stochastic gradient algorithms is studied. Relying on some results of differential geometry (Lojasiewicz gradient inequality), the almost sure pointconve...
Vladislav B. Tadic
CORR
2012
Springer
179views Education» more  CORR 2012»
12 years 1 months ago
Distributional convergence for the number of symbol comparisons used by QuickSort
d Abstract) James Allen Fill1† 1 Department of Applied Mathematics and Statistics, The Johns Hopkins University, 34th and Charles Streets, Baltimore, MD 21218-2682 USA received 2...
James Allen Fill
CDC
2010
IEEE
148views Control Systems» more  CDC 2010»
13 years 12 days ago
Convergence rates of consensus algorithms in stochastic networks
Abstract-- We study the convergence rate of average consensus algorithms in networks with stochastic communication failures. We show how the system dynamics can be modeled by a dis...
Stacy Patterson, Bassam Bamieh
MOC
2010
13 years 4 days ago
Sharpness in rates of convergence for the symmetric Lanczos method
The Lanczos method is often used to solve a large and sparse symmetric matrix eigenvalue problem. There is a well-established convergence theory that produces bounds to predict the...
Ren-Cang Li