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» On Smale's 17th Problem: A Probabilistic Positive Solution
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FOCM
2008
76views more  FOCM 2008»
13 years 9 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
CDC
2010
IEEE
107views Control Systems» more  CDC 2010»
13 years 4 months ago
Probabilistic mutual localization in multi-agent systems from anonymous position measures
Abstract-- Recent research on multi-agent systems has produced a plethora of decentralized controllers that implicitly assume various degrees of agent localization. However, many p...
Antonio Franchi, Giuseppe Oriolo, Paolo Stegagno
LSSC
2007
Springer
14 years 3 months ago
Probabilistic Model of Ant Colony Optimization for Multiple Knapsack Problem
The Ant Colony Optimization (ACO) algorithms are being applied successfully to a wide range of problems. ACO algorithms could be good alternatives to existing algorithms for hard c...
Stefka Fidanova
ICPPW
2005
IEEE
14 years 3 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde