Document Zbl 1433.68647

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The $(\mu+1)$-EA on monotone functions.</strong> <i>(English)</i> <a class="label nowrap" href="/1433.68647">Zbl 1433.68647</a> </h2> <div class="source"> Proceedings of the 15th ACM/SIGEVO workshop on foundations of genetic algorithms, FOGA 2019, Potsdam, Germany, August 27–29, 2019. New York, NY: Association for Computing Machinery (ACM). 87-101 (2019). </div> <div class="abstract"></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7166022">Cited in <strong>7</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68W50" title="MSC2020">68W50</a> </td> <td class="space"> Evolutionary algorithms, genetic algorithms (computational aspects) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68W40" title="MSC2020">68W40</a> </td> <td class="space"> Analysis of algorithms </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C59" title="MSC2020">90C59</a> </td> <td class="space"> Approximation methods and heuristics in mathematical programming </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aevolutionary+algorithm">evolutionary algorithm</a>; <a href="/?q=ut%3Ahottopic+functions">hottopic functions</a>; <a href="/?q=ut%3Amonotone+functions">monotone functions</a>; <a href="/?q=ut%3Amutation+rate">mutation rate</a>; <a href="/?q=ut%3Apopulation">population</a>; <a href="/?q=ut%3Aruntime+analysis">runtime analysis</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1433.68647" data-ciurl="/ci/07166022" data-biburl="/bibtex/07166022.bib" data-amsurl="/amsrefs/07166022.bib" data-xmlurl="/xml/07166022.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07166022.pdf" title="Zbl 1433.68647 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1145/3299904.3340309" aria-label="DOI for “Exponential slowdown for larger populations. The $(\mu+1)$-EA on monotone functions”" title="10.1145/3299904.3340309">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Benjamin Doerr. 2018. Probabilistic tools for the analysis of randomized optimization heuristics. arXiv preprint arXiv:1801.06733 (2018).</td> </tr><tr> <td>[2]</td> <td class="space">Benjamin Doerr, Thomas Jansen, Dirk Sudholt, Carola Winzen, and Christine Zarges. 2010. Optimizing monotone functions can be difficult. In International Conference on Parallel Problem Solving from Nature. Springer, 42-51. LNCS 6238.</td> </tr><tr> <td>[3]</td> <td class="space">Benjamin Doerr, Thomas Jansen, Dirk Sudholt, Carola Winzen, and Christine Zarges. 2013. Mutation rate matters even when optimizing monotonic functions. Evolutionary computation 21, 1 (2013), 1-27. 10.1162/EVCO_a_00055</td> </tr><tr> <td>[4]</td> <td class="space">Tobias Friedrich, Timo Kötzing, Martin S Krejca, and Andrew M Sutton. 2015. The benefit of recombination in noisy evolutionary search. In International Symposium on Algorithms and Computation. Springer, 140-150. · <a href="/1472.68232" class="nowrap">Zbl 1472.68232</a></td> </tr><tr> <td>[5]</td> <td class="space">Michael Fuchs, Hsien-Kuei Hwang, and Ralph Neininger. 2006. Profiles of random trees: Limit theorems for random recursive trees and binary search trees. Algorithmica 46, 3-4 (2006), 367-407. · <a href="/1106.68083" class="nowrap">Zbl 1106.68083</a></td> </tr><tr> <td>[6]</td> <td class="space">Thomas Jansen. 2007. On the brittleness of evolutionary algorithms. In International Workshop on Foundations of Genetic Algorithms. Springer, 54-69. · <a href="/1196.68193" class="nowrap">Zbl 1196.68193</a></td> </tr><tr> <td>[7]</td> <td class="space">Timo Kötzing. 2016. Concentration of first hitting times under additive drift. Algorithmica 75, 3 (2016), 490-506. 10.1007/s00453-015-0048-0 · <a href="/1348.68229" class="nowrap">Zbl 1348.68229</a></td> </tr><tr> <td>[8]</td> <td class="space">Timo Kötzing, JA Gregor Lagodzinski, Johannes Lengler, and Anna Melnichenko. 2018. Destructiveness of lexicographic parsimony pressure and alleviation by a concatenation crossover in genetic programming. In International Conference on Parallel Problem Solving from Nature. Springer, 42-54. LNCS 11102.</td> </tr><tr> <td>[9]</td> <td class="space">Timo Kötzing, Dirk Sudholt, and Madeleine Theile. 2011. How crossover helps in pseudo-boolean optimization. In Conference on Genetic and Evolutionary Computation. ACM, 989-996. 10.1145/2001576.2001711</td> </tr><tr> <td>[10]</td> <td class="space">L. Le Cam. 1960. An approximation theorem for the Poisson binomial distribution. Pacific J. Math 10, 4 (1960), 1181-1197. · <a href="/0118.33601" class="nowrap">Zbl 0118.33601</a></td> </tr><tr> <td>[11]</td> <td class="space">Per Kristian Lehre and Xin Yao. 2012. On the impact of mutation-selection balance on the runtime of evolutionary algorithms. IEEE Transactions on Evolutionary Computation 16, 2 (2012), 225-241. 10.1109/TEVC.2011.2112665</td> </tr><tr> <td>[12]</td> <td class="space">Johannes Lengler. 2018. A general dichotomy of evolutionary algorithms on monotone functions. In International Conference on Parallel Problem Solving from Nature. Springer, 3-15. LNCS 11102.</td> </tr><tr> <td>[13]</td> <td class="space">Johannes Lengler. 2019. A general dichotomy of evolutionary algorithms on monotone functions. IEEE Transactions on Evolutionary Computation (2019), 1-15.</td> </tr><tr> <td>[14]</td> <td class="space">Johannes Lengler, Anders Martinsson, and Angelika Steger. 2019. When does hillclimbing fail on monotone functions: An entropy compression argument. In Workshop on Analytic Algorithmics and Combinatorics. SIAM, 94-102. · <a href="/1430.68477" class="nowrap">Zbl 1430.68477</a></td> </tr><tr> <td>[15]</td> <td class="space">Johannes Lengler and Ulysse Schaller. 2018. The (1+ 1)-EA on Noisy Linear Functions with Random Positive Weights. In Foundations of Computational Intelligence, in IEEE Symposium Series on Computational Intelligence. IEEE, 712-719.</td> </tr><tr> <td>[16]</td> <td class="space">Johannes Lengler and Angelika Steger. 2018. Drift analysis and evolutionary algorithms revisited. Combinatorics, Probability and Computing 27, 4 (2018), 643-666. · <a href="/1484.68324" class="nowrap">Zbl 1484.68324</a></td> </tr><tr> <td>[17]</td> <td class="space">Chao Qian, Yang Yu, and Zhi-Hua Zhou. 2013. An analysis on recombination in multi-objective evolutionary optimization. Artificial Intelligence 204 (2013), 99-119. 10.1016/j.artint.2013.09.002 · <a href="/1334.68203" class="nowrap">Zbl 1334.68203</a></td> </tr><tr> <td>[18]</td> <td class="space">J Neal Richter, Alden Wright, and John Paxton. 2008. Ignoble trails-where crossover is provably harmful. In International Conference on Parallel Problem Solving from Nature. Springer, 92-101. LNCS 5199.</td> </tr><tr> <td>[19]</td> <td class="space">Dirk Sudholt. 2009. The impact of parametrization in memetic evolutionary algorithms. Theoretical Computer Science 410, 26 (2009), 2511-2528. 10.1016/j.tcs.2009.03.003 · <a href="/1172.68055" class="nowrap">Zbl 1172.68055</a></td> </tr><tr> <td>[20]</td> <td class="space">Carsten Witt. 2006. Runtime analysis of the (µ + 1) EA on simple pseudo-Boolean functions. Evolutionary Computation 14, 1 (2006), 65-86. 10.1162/106365606776022751</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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