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Analytical and numerical investigations of evolutionary algorithms in continuous spaces

 
: Asselmeyer, T.; Ebeling, W.; Rose, H.

:

Voigt, H.-M.:
Parallel problem solving from nature. Proceedings : PPSN IV, International Conference on Evolutionary Computation - The 4th International Conference on Parallel Problem Solving from Nature, Berlin, Germany, September 22 - 26, 1996
Berlin: Springer, 1996 (Lecture Notes in Computer Science 1141)
ISBN: 3-540-61723-X
ISSN: 0302-9743
S.111-121
International Conference on Evolutionary Computation <1996, Berlin>
International Conference on Parallel Problem Solving from Nature (PPSN) <4, 1996, Berlin>
Englisch
Konferenzbeitrag
Fraunhofer FIRST ()

Abstract
We investigate the biologically motivated selfreproduction strategies, by numerical and analytical calculations. In the analytical part we show that each of these strategies can be reduced to a eigenvalue problem of Sturm-Liouville-type. The properties of the landscape and the dynamics of the optimization are encoded in the spectrum of the Hamiltonian, which is different in both cases. We discuss some model cases with exact solutions and compare it with simulations.

: http://publica.fraunhofer.de/dokumente/N-107101.html