Coarse Graining Selection and Mutation
Coarse graining is defined in terms of a commutative diagram. Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered in...
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creator | Rowe, Jonathan E. Vose, Michael D. Wright, Alden H. |
description | Coarse graining is defined in terms of a commutative diagram. Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered include proportional selection, binary tournament selection, and mutation. A nonlinear coarse graining for ranking selection is also presented. Within the context of GAs, the primary contribution made is the introduction and illustration of a technique by which the possibility for coarse grainings may be analyzed. A secondary contribution is that a number of new coarse graining results are obtained. |
doi_str_mv | 10.1007/11513575_10 |
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Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered include proportional selection, binary tournament selection, and mutation. A nonlinear coarse graining for ranking selection is also presented. Within the context of GAs, the primary contribution made is the introduction and illustration of a technique by which the possibility for coarse grainings may be analyzed. 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Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered include proportional selection, binary tournament selection, and mutation. A nonlinear coarse graining for ranking selection is also presented. Within the context of GAs, the primary contribution made is the introduction and illustration of a technique by which the possibility for coarse grainings may be analyzed. A secondary contribution is that a number of new coarse graining results are obtained.</description><subject>Algorithmics. Computability. Computer arithmetics</subject><subject>Applied sciences</subject><subject>Coarse Graining</subject><subject>Computer science; control theory; systems</subject><subject>Equivalence Class</subject><subject>Equivalence Relation</subject><subject>Exact sciences and technology</subject><subject>Genetic Algorithm</subject><subject>Simple Genetic Algorithm</subject><subject>Theoretical computing</subject><issn>0302-9743</issn><issn>1611-3349</issn><isbn>9783540272373</isbn><isbn>3540272372</isbn><isbn>3540320350</isbn><isbn>9783540320357</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2005</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNpNkDtPw0AQhI-XRAiu-ANuQKIw7N7ew1ciCwJSEAVQW3vnc2QIduQLBf8eR6FgmtFoRlN8Qlwg3CCAvUXUSNrqGuFAnJFWQBJIw6GYoUEsiJQ7Epmz5a6TVpKlYzEDAlk4q-hUZCl9wCRCaw3MxFU18Jhivhi567t-lb_GdQzbbuhz7pv8-XvLu3AuTlpep5j9-Vy8P9y_VY_F8mXxVN0ti41Ety3ISa8MN1aBRxOlVq3S1rP0MoSmcUozGNX61kksAwTFVKIvFQcVYmMdzcXl_nfDKfC6HbkPXao3Y_fF40-NFqQxRk676_0uTVW_imPth-EzTVzqHaj6Hyj6BZJ3U20</recordid><startdate>2005</startdate><enddate>2005</enddate><creator>Rowe, Jonathan E.</creator><creator>Vose, Michael D.</creator><creator>Wright, Alden H.</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><scope>IQODW</scope></search><sort><creationdate>2005</creationdate><title>Coarse Graining Selection and Mutation</title><author>Rowe, Jonathan E. ; Vose, Michael D. ; Wright, Alden H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p219t-392b46ad740b16e254f457ba2b2ccdd945a064fbf9218c0c4a381b84ac4ced793</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Algorithmics. Computability. Computer arithmetics</topic><topic>Applied sciences</topic><topic>Coarse Graining</topic><topic>Computer science; control theory; systems</topic><topic>Equivalence Class</topic><topic>Equivalence Relation</topic><topic>Exact sciences and technology</topic><topic>Genetic Algorithm</topic><topic>Simple Genetic Algorithm</topic><topic>Theoretical computing</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rowe, Jonathan E.</creatorcontrib><creatorcontrib>Vose, Michael D.</creatorcontrib><creatorcontrib>Wright, Alden H.</creatorcontrib><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rowe, Jonathan E.</au><au>Vose, Michael D.</au><au>Wright, Alden H.</au><au>Schmitt, Lothar M.</au><au>Wright, Alden H.</au><au>De Jong, Kenneth A.</au><au>Vose, Michael D.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Coarse Graining Selection and Mutation</atitle><btitle>Foundations of Genetic Algorithms</btitle><date>2005</date><risdate>2005</risdate><spage>176</spage><epage>191</epage><pages>176-191</pages><issn>0302-9743</issn><eissn>1611-3349</eissn><isbn>9783540272373</isbn><isbn>3540272372</isbn><eisbn>3540320350</eisbn><eisbn>9783540320357</eisbn><abstract>Coarse graining is defined in terms of a commutative diagram. Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered include proportional selection, binary tournament selection, and mutation. A nonlinear coarse graining for ranking selection is also presented. Within the context of GAs, the primary contribution made is the introduction and illustration of a technique by which the possibility for coarse grainings may be analyzed. A secondary contribution is that a number of new coarse graining results are obtained.</abstract><cop>Berlin, Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/11513575_10</doi><tpages>16</tpages></addata></record> |
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language | eng |
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source | Springer Books |
subjects | Algorithmics. Computability. Computer arithmetics Applied sciences Coarse Graining Computer science control theory systems Equivalence Class Equivalence Relation Exact sciences and technology Genetic Algorithm Simple Genetic Algorithm Theoretical computing |
title | Coarse Graining Selection and Mutation |
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