Some Exact Results from a Coarse Grained Formulation of Genetic Dynamics
| dc.creator | Stephens, C. R. | |
| dc.date | 2001-05-10 | |
| dc.date | 2001-05-17 | |
| dc.date.accessioned | 2026-07-07T05:33:29Z | |
| dc.date.available | 2026-07-07T05:33:29Z | |
| dc.description | We extend a recently developed exact schema based, or coarse grained, formulation of genetic dynamics \cite{stewael,stewael1,stewael2} and its associated exact Schema theorem to an arbitrary selection scheme and a general crossover operator. We show that the intuitive``building block'' interpretation of the former is preserved leading to hierarchical formal solutions of the equations that upon iteration lead to new results for the limiting distribution of a population in the case of 1-point crossover and ``weak'' selection, where we define quantitatively ``weak''. We also derive an exact, analytic form for the population distribution as a function of time for a flat landscape and 1-point crossover. | |
| dc.description | 9 pages latex, 1 style file proceedings.sty. To be published in Proceedings of GECCO 2001, Morgan Kauffman (2001) (submitted January 23rd 2001); minor modification to section 5 made 17/05/01. No results changed | |
| dc.identifier | https://arxiv.org/abs/nlin/0105029 | |
| dc.identifier | http://arxiv.org/abs/nlin/0105029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80009 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Condensed Matter | |
| dc.title | Some Exact Results from a Coarse Grained Formulation of Genetic Dynamics | |
| dc.type | text |