Multi objective optimization of stamping process parameters based on improved ASAE-GP-BPNN hybrid model and NSGA-II algorithm

Multi objective optimization of stamping process parameters based on improved ASAE-GP-BPNN hybrid model and NSGA-II algorithm | 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 Multi objective optimization of stamping process parameters based on improved ASAE-GP-BPNN hybrid model and NSGA-II algorithm zhang JUNMENG, Guang Tong, Haijun Yang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8422589/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 Stamping-forming parameter optimization is a core technical hurdle in enhancing product quality. To tackle the low accuracy of existing surrogate models and the uneven Pareto fronts produced by current multi-objective algorithms, this paper introduces a novel framework that couples an Adaptive Sparse Autoencoder–Gaussian Process–Back-Propagation Neural Network (ASAE-GP-BPNN) hybrid surrogate model with an improved Non-dominated Sorting Genetic Algorithm-II (INSGA-II). ASAE-GP-BPNN achieves accurate modeling of complex nonlinear relationships through competitive sparse mechanism for dynamic feature extraction, Gaussian process uncertainty quantification, and BPNN deep fusion, showing 15–40% improvement over single models on test functions. INSGA-II introduces K-Nearest Neighbor(KNN) local density evaluation and adaptive parameter strategy, increasing the hypervolume of Pareto front by about 15%. Using TRIP780 double C-shaped parts as a case study, the surrogate model was trained with 120 groups of Latin hypercube sampling data. After optimization, the optimal process parameter combination was obtained achieving maximum thinning rate of 11.3%, thickening area of 4.6%, springback amount of 0.952 mm, and 20% reduction in overall defects. The research shows that the proposed method has both prediction accuracy and engineering applicability in high-dimensional nonlinear stamping process multi-objective optimization. Stamping forming Multi objective optimization Neural network NSGA-II KNN density estimation Full Text Additional Declarations No competing interests reported. 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. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-8422589","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":567203815,"identity":"ecfdd2ca-dadd-4b55-b647-98a5fc0484bc","order_by":0,"name":"zhang JUNMENG","email":"","orcid":"","institution":"Shanghai DianJi University","correspondingAuthor":false,"prefix":"","firstName":"zhang","middleName":"","lastName":"JUNMENG","suffix":""},{"id":567203816,"identity":"a2d32a17-d4f0-43f6-beea-cb73e2d44370","order_by":1,"name":"Guang Tong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAxUlEQVRIiWNgGAWjYNCCCgbGxgYgzUOMYoiiMyRrYWxjYGxAGEAA2LP3Hn75dV6dbPOMBMYHb9sY5M0J2sJzLs1adtth48YZCcyGc9sYDHc2ENIikWNmLLntQCJQC5s0bxtDgsEBorTMqQNpYf9NrBbjhx8bmMG2MBOn5cwZM2aGY0C/9DxslpxzTsJwAyEt7O09xh9/1NTJbmxPPvjhTZmNPEFbgIBNGhQdhg3gqJEgrB4ImD/+AJLyRKkdBaNgFIyCEQkALFVAJlGXJgkAAAAASUVORK5CYII=","orcid":"","institution":"Shanghai DianJi University","correspondingAuthor":true,"prefix":"","firstName":"Guang","middleName":"","lastName":"Tong","suffix":""},{"id":567203819,"identity":"bc261f90-a03e-4438-ad9f-81cfd3bf6cf9","order_by":2,"name":"Haijun Yang","email":"","orcid":"","institution":"Shanghai DianJi University","correspondingAuthor":false,"prefix":"","firstName":"Haijun","middleName":"","lastName":"Yang","suffix":""}],"badges":[],"createdAt":"2025-12-22 08:23:13","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8422589/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8422589/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":99321153,"identity":"1625dba2-3423-4c7c-a370-b4d60a0df09e","added_by":"auto","created_at":"2025-12-31 16:39:14","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2688884,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.docx","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/e5181aca9ca961912e378a7f.docx"},{"id":99298395,"identity":"71d474cf-f7eb-4079-ab11-b66f4a205b2d","added_by":"auto","created_at":"2025-12-31 12:39:11","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4998,"visible":true,"origin":"","legend":"","description":"","filename":"9b2767daf572485ebcb650016436ba8b.json","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/ea057d04d7ff0a306613972a.json"},{"id":99298405,"identity":"c1e6da5a-d6ee-466d-bbc8-8b81802a9373","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"xml","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":156719,"visible":true,"origin":"","legend":"","description":"","filename":"9b2767daf572485ebcb650016436ba8b1enriched.xml","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/ee53ace0aef0166038eb31a1.xml"},{"id":99320043,"identity":"168cf1f9-68ad-4432-bcd5-975181855e30","added_by":"auto","created_at":"2025-12-31 16:38:06","extension":"png","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":113216,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/218a59726e35d4be5aa0b03c.png"},{"id":99298410,"identity":"cf5b185f-ea70-4694-b09b-7321290fdd27","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":76682,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage10.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/e138daec0916523c62ded4f8.png"},{"id":99298396,"identity":"4ef57efe-c07c-4af0-92c1-5f1f2c44aeee","added_by":"auto","created_at":"2025-12-31 12:39:11","extension":"png","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":7271,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage11.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/238d2539ac4b9b92d8c8f839.png"},{"id":99298406,"identity":"35475fc5-9fc5-4a98-94a2-08c4861810cf","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":161342,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage12.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/5006e09d9279924449948f0d.png"},{"id":99321341,"identity":"f0df804c-d3eb-4c85-972f-78c34c7a6e92","added_by":"auto","created_at":"2025-12-31 16:39:20","extension":"png","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":147788,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage13.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/0976d529dc0329d5b42f856a.png"},{"id":99298397,"identity":"0b23e6e2-8ddb-42dd-8c47-a393e84c1c72","added_by":"auto","created_at":"2025-12-31 12:39:11","extension":"png","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":181924,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage14.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/cad943b566b787fa448427a3.png"},{"id":99319871,"identity":"4acafa0f-bfb3-4363-8cf2-691fbb8415e1","added_by":"auto","created_at":"2025-12-31 16:37:58","extension":"png","order_by":9,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":192539,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage15.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/205ecf8d2ee3cb7876c78fa2.png"},{"id":99298398,"identity":"3d1fcc87-69ac-49d0-828b-f249f4e1c61e","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":10,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":54488,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/1e4c0a3afaba087103988283.png"},{"id":99321049,"identity":"321d440d-2ebc-4f1e-a78d-3d91837cca00","added_by":"auto","created_at":"2025-12-31 16:39:08","extension":"png","order_by":11,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":155999,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/f3f80f70e83e3997b752258c.png"},{"id":99298421,"identity":"f8dbe5c1-080b-42e3-afbc-6083ca287d44","added_by":"auto","created_at":"2025-12-31 12:39:13","extension":"png","order_by":12,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":232828,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/4cd9fe06cb8b038ec69ba879.png"},{"id":99321272,"identity":"fe30cd6f-6611-45d5-bc7a-e2a17c4fd120","added_by":"auto","created_at":"2025-12-31 16:39:17","extension":"png","order_by":13,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":278648,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/584c58a42e9c03b1ddf1163a.png"},{"id":99298403,"identity":"aab85c5d-b6f6-43f7-b00e-e1ca617ca8c6","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":14,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":31903,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage6.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/76ae12daea58308ad3efd2fc.png"},{"id":99298394,"identity":"2ac904d8-4c40-470b-b0aa-cbe2259c49d0","added_by":"auto","created_at":"2025-12-31 12:39:11","extension":"jpeg","order_by":15,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":656642,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage7.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/e8644be5a1caef6a026e81f3.jpeg"},{"id":99321239,"identity":"6da0533a-f35b-451b-b77b-51fa295e80bf","added_by":"auto","created_at":"2025-12-31 16:39:17","extension":"jpeg","order_by":16,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":658705,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage8.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/ce32703cf132e4f8e1a901c8.jpeg"},{"id":99320868,"identity":"138ba5cf-1c71-4f3c-bb82-5afbf115af0f","added_by":"auto","created_at":"2025-12-31 16:38:55","extension":"jpeg","order_by":17,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":473693,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage9.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/635eeaf59a9a1e4f2b8a4fba.jpeg"},{"id":99298416,"identity":"2e0db532-df22-4504-9412-4857d7d2e6d1","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":18,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":22803,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/ddb6519e67c8d3e2accb3b12.png"},{"id":99298429,"identity":"24557a59-930c-45db-813b-db928a4c062a","added_by":"auto","created_at":"2025-12-31 12:39:14","extension":"png","order_by":19,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":22006,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage10.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/9efbd1bed211aa70a366831d.png"},{"id":99298400,"identity":"841a0458-2474-4732-b0ed-e66f56cf987e","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":20,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4413,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage11.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/9c73941041115b2e0d05b053.png"},{"id":99298428,"identity":"301061b0-e7ad-4fc6-b131-80b5c2497a44","added_by":"auto","created_at":"2025-12-31 12:39:14","extension":"png","order_by":21,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":52819,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage12.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/0342237f70121decf3da808c.png"},{"id":99298415,"identity":"c085d71e-d917-48bf-8591-f017ea730a61","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":22,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":29830,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage13.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/2d02832bc755866cc26eca82.png"},{"id":99298422,"identity":"6e9a1ea2-cd8f-44b4-90f2-bd67a44d04b2","added_by":"auto","created_at":"2025-12-31 12:39:13","extension":"png","order_by":23,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":29949,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage14.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/b23ce6dd57520842ee36c438.png"},{"id":99298420,"identity":"cd974424-771f-4074-a323-2ecf6b9fcc87","added_by":"auto","created_at":"2025-12-31 12:39:13","extension":"png","order_by":24,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":28357,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage15.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/7e7654043d8de15f74d78df4.png"},{"id":99298418,"identity":"240f23b9-8536-44cd-8eaa-fa0e554d54d1","added_by":"auto","created_at":"2025-12-31 12:39:13","extension":"png","order_by":25,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":15679,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/8845644c711b2de212eeea6c.png"},{"id":99320709,"identity":"2ebcba79-dbea-4a4c-b643-f77674cb3d18","added_by":"auto","created_at":"2025-12-31 16:38:52","extension":"png","order_by":26,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":35973,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/62202488a5e1cad9547840c3.png"},{"id":99320791,"identity":"947ff8ba-7dc9-448f-a20d-8dbf1b422de4","added_by":"auto","created_at":"2025-12-31 16:38:54","extension":"png","order_by":27,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":50951,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/7091b72534711bdaed24a803.png"},{"id":99298411,"identity":"31b35a68-f35d-49c1-8528-81a15ccbcbf6","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":28,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":60710,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/7cd0f6865b633c9313af8549.png"},{"id":99298423,"identity":"3fc71f01-107c-4da4-9209-58b7e7d651c6","added_by":"auto","created_at":"2025-12-31 12:39:14","extension":"png","order_by":29,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":13875,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage6.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/9f05d1df6ecaec1f3d8232e5.png"},{"id":99321248,"identity":"37e96a67-a758-4c3c-86f8-7998ecf10c47","added_by":"auto","created_at":"2025-12-31 16:39:17","extension":"png","order_by":30,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":148542,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage7.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/7bb107227866b4dd3b014d42.png"},{"id":99298424,"identity":"5f979070-0acc-41a7-a406-6ce0969707d9","added_by":"auto","created_at":"2025-12-31 12:39:14","extension":"png","order_by":31,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":150322,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage8.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/82781e09e9ccbeeea91bf5eb.png"},{"id":99298413,"identity":"23ead208-d541-4b21-aed6-e0026e3ded33","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"png","order_by":32,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":104545,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage9.png","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/8b13321e05ad9126293b022d.png"},{"id":99298409,"identity":"3c31fcfb-6e57-49fe-b228-9d9297df6bff","added_by":"auto","created_at":"2025-12-31 12:39:12","extension":"xml","order_by":33,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":156718,"visible":true,"origin":"","legend":"","description":"","filename":"9b2767daf572485ebcb650016436ba8b1structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/61db0f908c58fbfff0eb8a77.xml"},{"id":99298426,"identity":"1c048c05-4834-4512-8dc7-8ea8df57e635","added_by":"auto","created_at":"2025-12-31 12:39:14","extension":"html","order_by":34,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":178243,"visible":true,"origin":"","legend":"","description":"","filename":"earlyproof.html","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1/05e9cfcb79d6f3e838abea04.html"},{"id":99324154,"identity":"3f311fe1-8f69-4fab-9e7d-0d14e5e6f61c","added_by":"auto","created_at":"2025-12-31 16:47:00","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1514819,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8422589/v1_covered_70da82ee-6745-4d36-8fbd-2cf2c85f9046.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multi objective optimization of stamping process parameters based on improved ASAE-GP-BPNN hybrid model and NSGA-II algorithm","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"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},"keywords":"Stamping forming, Multi objective optimization, Neural network, NSGA-II, KNN density estimation","lastPublishedDoi":"10.21203/rs.3.rs-8422589/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8422589/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eStamping-forming parameter optimization is a core technical hurdle in enhancing product quality. To tackle the low accuracy of existing surrogate models and the uneven Pareto fronts produced by current multi-objective algorithms, this paper introduces a novel framework that couples an Adaptive Sparse Autoencoder\u0026ndash;Gaussian Process\u0026ndash;Back-Propagation Neural Network (ASAE-GP-BPNN) hybrid surrogate model with an improved Non-dominated Sorting Genetic Algorithm-II (INSGA-II). ASAE-GP-BPNN achieves accurate modeling of complex nonlinear relationships through competitive sparse mechanism for dynamic feature extraction, Gaussian process uncertainty quantification, and BPNN deep fusion, showing 15\u0026ndash;40% improvement over single models on test functions. INSGA-II introduces K-Nearest Neighbor(KNN) local density evaluation and adaptive parameter strategy, increasing the hypervolume of Pareto front by about 15%. Using TRIP780 double C-shaped parts as a case study, the surrogate model was trained with 120 groups of Latin hypercube sampling data. After optimization, the optimal process parameter combination was obtained achieving maximum thinning rate of 11.3%, thickening area of 4.6%, springback amount of 0.952 mm, and 20% reduction in overall defects. The research shows that the proposed method has both prediction accuracy and engineering applicability in high-dimensional nonlinear stamping process multi-objective optimization.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e","manuscriptTitle":"Multi objective optimization of stamping process parameters based on improved ASAE-GP-BPNN hybrid model and NSGA-II algorithm","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-12-31 12:38:32","doi":"10.21203/rs.3.rs-8422589/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":"44772237-aa97-4386-8dc3-2218fbddd437","owner":[],"postedDate":"December 31st, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-04-21T05:09:56+00:00","versionOfRecord":[],"versionCreatedAt":"2025-12-31 12:38:32","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8422589","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8422589","identity":"rs-8422589","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}