A Budget-Controlled In Vitro Fertilization Memetic Hybrid for SPEA2 on Bi- and Tri-Objective Problems

A Budget-Controlled In Vitro Fertilization Memetic Hybrid for SPEA2 on Bi- and Tri-Objective Problems | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Budget-Controlled In Vitro Fertilization Memetic Hybrid for SPEA2 on Bi- and Tri-Objective Problems Pedro Henrique Sanches Pelegrino Zambrano, Eduardo Faria de Souza, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9431034/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The Strength Pareto Evolutionary Algorithm 2 (SPEA2) remains a standard baseline in multiobjective optimization, but its density-based truncation can remove offspring generated by local intensification. We study a budget-controlled memetic hybrid that inserts an in vitro fertilization phase into SPEA2 while preserving the host's generation-level evaluation budget. The implementation analyzed here combines dissimilar-father selection with a collective cycle-continuation rule so that intensification is retained only when it improves the population under SPEA2's archive dynamics. A three-phase tuning pipeline on 12 representative problem-objective configurations defines the default setting. The resulting method is evaluated on 39 out-of-sample synthetic instances, the full 51-instance synthetic suite, and three constrained engineering problems. Against canonical SPEA2 over 60 runs per configuration, the method achieves Holm--Bonferroni-corrected inverted generational distance win/loss/tie counts of 19/2/3 on out-of-sample bi-objective instances and 12/0/3 on out-of-sample tri-objective instances; on the full synthetic suite the corresponding counts are 22/3/3 and 15/1/7. Hypervolume provides secondary support. Improvements concentrate on regular Pareto-front geometries, whereas disconnected or irregular fronts can weaken or reverse the effect because intensification-generated density interacts unfavorably with SPEA2 truncation. The results therefore support a conditional, host-specific memetic improvement over SPEA2 at moderate objective counts rather than a universal replacement. Artificial Intelligence and Machine Learning memetic computing strength Pareto evolutionary algorithm 2 in vitro fertilization multiobjective optimization Pareto-front geometry Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9431034","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":623880282,"identity":"e4074f0e-7d7e-49b4-a026-0248d5ae5931","order_by":0,"name":"Pedro Henrique Sanches Pelegrino Zambrano","email":"data:image/png;base64,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","orcid":"https://orcid.org/0009-0002-9748-8948","institution":"Universidade Federal de Goiás","correspondingAuthor":true,"prefix":"","firstName":"Pedro","middleName":"Henrique Sanches Pelegrino","lastName":"Zambrano","suffix":""},{"id":623880283,"identity":"eb4a06d1-f6cd-4e6c-8466-f943d8963ff2","order_by":1,"name":"Eduardo Faria de Souza","email":"","orcid":"","institution":"Universidade Federal de Goiás","correspondingAuthor":false,"prefix":"","firstName":"Eduardo","middleName":"Faria","lastName":"de Souza","suffix":""},{"id":623880284,"identity":"ab947207-1919-459b-9f46-bbff021121a3","order_by":2,"name":"Altino Dantas","email":"","orcid":"","institution":"Universidade Federal de Goiás","correspondingAuthor":false,"prefix":"","firstName":"Altino","middleName":"","lastName":"Dantas","suffix":""},{"id":623880285,"identity":"83d7f74d-f105-48e1-9fd6-ab2fe7e312d7","order_by":3,"name":"Sávio Menezes","email":"","orcid":"","institution":"Universidade Federal de Goiás","correspondingAuthor":false,"prefix":"","firstName":"Sávio","middleName":"","lastName":"Menezes","suffix":""},{"id":623880286,"identity":"7e6b42f6-732f-4805-b190-bde0e3044f8a","order_by":4,"name":"Celso G. 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We study a budget-controlled memetic hybrid that inserts an in vitro fertilization phase into SPEA2 while preserving the host's generation-level evaluation budget. The implementation analyzed here combines dissimilar-father selection with a collective cycle-continuation rule so that intensification is retained only when it improves the population under SPEA2's archive dynamics. A three-phase tuning pipeline on 12 representative problem-objective configurations defines the default setting. The resulting method is evaluated on 39 out-of-sample synthetic instances, the full 51-instance synthetic suite, and three constrained engineering problems. Against canonical SPEA2 over 60 runs per configuration, the method achieves Holm--Bonferroni-corrected inverted generational distance win/loss/tie counts of 19/2/3 on out-of-sample bi-objective instances and 12/0/3 on out-of-sample tri-objective instances; on the full synthetic suite the corresponding counts are 22/3/3 and 15/1/7. Hypervolume provides secondary support. Improvements concentrate on regular Pareto-front geometries, whereas disconnected or irregular fronts can weaken or reverse the effect because intensification-generated density interacts unfavorably with SPEA2 truncation. The results therefore support a conditional, host-specific memetic improvement over SPEA2 at moderate objective counts rather than a universal replacement.\u003c/p\u003e","manuscriptTitle":"A Budget-Controlled In Vitro Fertilization Memetic Hybrid for SPEA2 on Bi- and Tri-Objective Problems","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-04-17 04:32:17","doi":"10.21203/rs.3.rs-9431034/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"2b518597-d2cc-404f-8593-699baa19c002","owner":[],"postedDate":"April 17th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":66398755,"name":"Artificial Intelligence and Machine Learning"}],"tags":[],"updatedAt":"2026-04-17T04:32:17+00:00","versionOfRecord":[],"versionCreatedAt":"2026-04-17 04:32:17","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9431034","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9431034","identity":"rs-9431034","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}