{"id":"https://openalex.org/W2134125062","doi":"https://doi.org/10.1007/s10589-011-9441-z","title":"PAINT: Pareto front interpolation for nonlinear multiobjective optimization","display_name":"PAINT: Pareto front interpolation for nonlinear multiobjective optimization","publication_year":2011,"publication_date":"2011-10-17","ids":{"openalex":"https://openalex.org/W2134125062","doi":"https://doi.org/10.1007/s10589-011-9441-z","mag":"2134125062"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-011-9441-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9441-z","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.fi/URN:NBN:fi:jyu-201607283684","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011223767","display_name":"Markus Hartikainen","orcid":"https://orcid.org/0000-0003-1708-6149"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Markus Hartikainen","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 25 (Agora), 40014, Jyv\u00e4skyl\u00e4, Finland","University of Jyv\u00e4skyl\u00e4**"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 25 (Agora), 40014, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4**","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020945863","display_name":"Kaisa Miettinen","orcid":"https://orcid.org/0000-0003-1013-4689"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Kaisa Miettinen","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 25 (Agora), 40014, Jyv\u00e4skyl\u00e4, Finland","University of Jyv\u00e4skyl\u00e4**"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 25 (Agora), 40014, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4**","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084196641","display_name":"Margaret M. Wiecek","orcid":"https://orcid.org/0000-0001-6853-2626"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Margaret M. Wiecek","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, USA","Clemson University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Clemson University","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011223767"],"corresponding_institution_ids":["https://openalex.org/I94722563"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.2043,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.96047343,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"3","first_page":"845","last_page":"867"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7654769420623779},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7436395883560181},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6360562443733215},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6186510324478149},{"id":"https://openalex.org/keywords/surrogate-model","display_name":"Surrogate model","score":0.6042160391807556},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5442590117454529},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5354661345481873},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5073794722557068},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5063294172286987},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4491448700428009},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.436576783657074},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4304931163787842},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.42324361205101013},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.4123244881629944},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4113452434539795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29162922501564026},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07621672749519348}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7654769420623779},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7436395883560181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6360562443733215},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6186510324478149},{"id":"https://openalex.org/C131675550","wikidata":"https://www.wikidata.org/wiki/Q7646884","display_name":"Surrogate model","level":2,"score":0.6042160391807556},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5442590117454529},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5354661345481873},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5073794722557068},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5063294172286987},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4491448700428009},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.436576783657074},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4304931163787842},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.42324361205101013},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.4123244881629944},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4113452434539795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29162922501564026},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07621672749519348},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10589-011-9441-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9441-z","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:jyx.jyu.fi:123456789/50901","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-011-9441-z\"","pdf_url":"http://urn.fi/URN:NBN:fi:jyu-201607283684","source":{"id":"https://openalex.org/S4306400563","display_name":"Jyv\u00e4skyl\u00e4 University Digital Archive (University of Jyv\u00e4skyl\u00e4)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I94722563","host_organization_name":"University of Jyv\u00e4skyl\u00e4","host_organization_lineage":["https://openalex.org/I94722563"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"A1"},{"id":"pmh:oai:DiVA.org:kth-65275","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-65275","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"},{"id":"pmh:oai:RePEc:spr:coopap:v:52:y:2012:i:3:p:845-867","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-011-9441-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:jyx.jyu.fi:123456789/50901","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-011-9441-z\"","pdf_url":"http://urn.fi/URN:NBN:fi:jyu-201607283684","source":{"id":"https://openalex.org/S4306400563","display_name":"Jyv\u00e4skyl\u00e4 University Digital Archive (University of Jyv\u00e4skyl\u00e4)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I94722563","host_organization_name":"University of Jyv\u00e4skyl\u00e4","host_organization_lineage":["https://openalex.org/I94722563"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"A1"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2134125062.pdf"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W11997848","https://openalex.org/W194786220","https://openalex.org/W624696186","https://openalex.org/W627488454","https://openalex.org/W1543403517","https://openalex.org/W1571429435","https://openalex.org/W1608412798","https://openalex.org/W1846834309","https://openalex.org/W1966942917","https://openalex.org/W1971893679","https://openalex.org/W1982244879","https://openalex.org/W1984406695","https://openalex.org/W1998091700","https://openalex.org/W2008499862","https://openalex.org/W2008581147","https://openalex.org/W2021495306","https://openalex.org/W2025796352","https://openalex.org/W2035629892","https://openalex.org/W2036850658","https://openalex.org/W2044553850","https://openalex.org/W2059204304","https://openalex.org/W2064823886","https://openalex.org/W2067806153","https://openalex.org/W2072921178","https://openalex.org/W2075220263","https://openalex.org/W2090218528","https://openalex.org/W2101431131","https://openalex.org/W2103073782","https://openalex.org/W2142407987","https://openalex.org/W2148642357","https://openalex.org/W2149157137","https://openalex.org/W2153504150","https://openalex.org/W2159344791","https://openalex.org/W2219800593","https://openalex.org/W2490736661","https://openalex.org/W2606395562","https://openalex.org/W4233757421","https://openalex.org/W4234785530","https://openalex.org/W4235967258","https://openalex.org/W4292864963","https://openalex.org/W4300639489","https://openalex.org/W4313037970"],"related_works":["https://openalex.org/W3103120015","https://openalex.org/W2207859038","https://openalex.org/W2337862504","https://openalex.org/W1999480972","https://openalex.org/W2123512339","https://openalex.org/W1979141062","https://openalex.org/W2084351816","https://openalex.org/W4289753243","https://openalex.org/W2310143336","https://openalex.org/W4225092426"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
