Abstract
We describe a mathematical model for the infinite-population dynamics of a simple continuous EDA: UMDAc. Using this model, it is possible to numerically generate the dynamics of the algorithm on a fitness function of known form. The technique is compared with existing analysis and illustrated on a number of simple test problems. The model is also used to examine the effect of adding an amplification constant to the variance parameter of the UMDAc model.
BibTeX - Entry
@InProceedings{gallagher_et_al:DagSemProc.06061.3,
author = {Gallagher, Marcus and Yuan, Bo},
title = {{A Mathematical Modelling Technique for the Analysis of the Dynamics of a Simple Continuous EDA}},
booktitle = {Theory of Evolutionary Algorithms},
pages = {1--7},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2006},
volume = {6061},
editor = {Dirk V. Arnold and Thomas Jansen and Michael D. Vose and Jonathan E. Rowe},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2006/594},
URN = {urn:nbn:de:0030-drops-5940},
doi = {10.4230/DagSemProc.06061.3},
annote = {Keywords: Estimation of Distribution Algorithms}
}
Keywords: |
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Estimation of Distribution Algorithms |
Collection: |
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06061 - Theory of Evolutionary Algorithms |
Issue Date: |
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2006 |
Date of publication: |
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07.07.2006 |