Problem 638. Uniform binary crossover

Created by Vitor Yano

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given two binary vectors, return the two children by combining the genes of them using a binary crossover mask.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>More information:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Crossover_(genetic_algorithm)#Uniform_Crossover_and_Half_Uniform_Crossover\"><w:r><w:t>Uniform crossover</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Parents and mask are row vectors of the same size</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>N</w:t></w:r><w:r><w:t>;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Output is a 2 x</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>N</w:t></w:r><w:r><w:t> matrix containing both children;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>The first child must have genes from the first parent at the positions where the mask is true, and genes from the second parent where the mask is false;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>The second child must have genes from the first parent at the positions where the mask is false, and genes from the second parent where the mask is true;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>The mask is also supplied.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[mask = [1 0 0 0 1 1 1 0 0];\nparent1 = [0 0 0 1 1 1 0 0 0];\nparent2 = [1 1 0 0 1 0 1 1 0];\n\nchildren = [0 1 0 0 1 1 0 1 0;\n 1 0 0 1 1 0 1 0 0];]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Given two binary vectors, return the two children by combining the genes of them using a binary crossover mask.More information: <a href="http://en.wikipedia.org/wiki/Crossover_(genetic_algorithm)#Uniform_Crossover_and_Half_Uniform_Crossover">Uniform crossover</a><ul><li>Parents and mask are row vectors of the same size N;</li><li>Output is a 2 x N matrix containing both children;</li><li>The first child must have genes from the first parent at the positions where the mask is true, and genes from the second parent where the mask is false;</li><li>The second child must have genes from the first parent at the positions where the mask is false, and genes from the second parent where the mask is true;</li><li>The mask is also supplied.</li></ul>Example:<pre class="language-matlab">mask = [1 0 0 0 1 1 1 0 0];
parent1 = [0 0 0 1 1 1 0 0 0];
parent2 = [1 1 0 0 1 0 1 1 0];
</pre><pre class="language-matlab">children = [0 1 0 0 1 1 0 1 0;
 1 0 0 1 1 0 1 0 0];
</pre>

Solve

Solution Stats

129 Solutions
68 Solvers

Last Solution submitted on Aug 05, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!