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JACIII
2007
99views more  JACIII 2007»
13 years 4 months ago
Asymptotic Behavior of Linear Approximations of Pseudo-Boolean Functions
We study the problem of approximating pseudoBoolean functions by linear pseudo-Boolean functions. Pseudo-Boolean functions generalize ordinary Boolean functions by allowing the fu...
Guoli Ding, Robert F. Lax, Peter P. Chen, Jianhua ...
DAM
2008
102views more  DAM 2008»
13 years 4 months ago
Formulas for approximating pseudo-Boolean random variables
We consider {0, 1}n as a sample space with a probability measure on it, thus making pseudo-Boolean functions into random variables. We then derive explicit formulas for approximat...
Guoli Ding, Robert F. Lax, Jianhua Chen, Peter P. ...
FOGA
2011
12 years 8 months ago
Approximating the distribution of fitness over hamming regions
The distribution of fitness values across a set of states sharply influences the dynamics of evolutionary processes and heuristic search in combinatorial optimization. In this p...
Andrew M. Sutton, Darrell Whitley, Adele E. Howe
GECCO
2008
Springer
131views Optimization» more  GECCO 2008»
13 years 5 months ago
Rigorous analyses of fitness-proportional selection for optimizing linear functions
Rigorous runtime analyses of evolutionary algorithms (EAs) mainly investigate algorithms that use elitist selection methods. Two algorithms commonly studied are Randomized Local S...
Edda Happ, Daniel Johannsen, Christian Klein, Fran...
FFA
2008
82views more  FFA 2008»
13 years 4 months ago
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators
We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power s...
Valérie Berthé, Hitoshi Nakada, Rie ...