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» On Smale's 17th Problem: A Probabilistic Positive Solution
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117
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FOCM
2008
76views more  FOCM 2008»
15 years 3 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
138
Voted
CDC
2010
IEEE
107views Control Systems» more  CDC 2010»
14 years 10 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
15 years 9 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
15 years 9 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