{"id":"https://openalex.org/W1989275682","doi":"https://doi.org/10.1145/2739480.2754717","title":"Global Line Search Algorithm Hybridized with Quadratic Interpolation and Its Extension to Separable Functions","display_name":"Global Line Search Algorithm Hybridized with Quadratic Interpolation and Its Extension to Separable Functions","publication_year":2015,"publication_date":"2015-07-07","ids":{"openalex":"https://openalex.org/W1989275682","doi":"https://doi.org/10.1145/2739480.2754717","mag":"1989275682"},"language":"en","primary_location":{"id":"doi:10.1145/2739480.2754717","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2739480.2754717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.cvut.cz/bitstream/10467/62783/1/2015_Global%20Line%20Search_Posik.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020407383","display_name":"P Baudis","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Petr Baudi\u0161","raw_affiliation_strings":["Czech Technical University in Prague, Prague, Czech Rep","Czech Technical University in Prague, Prague, Czech Rep#TAB#"],"affiliations":[{"raw_affiliation_string":"Czech Technical University in Prague, Prague, Czech Rep","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical University in Prague, Prague, Czech Rep#TAB#","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002338502","display_name":"Petr Po\u0161\u00edk","orcid":"https://orcid.org/0000-0002-9694-3673"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Petr Po\u0161\u00edk","raw_affiliation_strings":["Czech Technical University in Prague, Prague, Czech Rep","Czech Technical University in Prague, Prague, Czech Rep#TAB#"],"affiliations":[{"raw_affiliation_string":"Czech Technical University in Prague, Prague, Czech Rep","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical University in Prague, Prague, Czech Rep#TAB#","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020407383"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":3.5426,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92410802,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"257","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7211400866508484},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6665279269218445},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6273093223571777},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.6227698922157288},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6052244901657104},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5705260038375854},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.5455749034881592},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.503760039806366},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.48098933696746826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4726138412952423},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4571388363838196},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44454288482666016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4289079010486603},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41112565994262695},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.25421881675720215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11746633052825928}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7211400866508484},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6665279269218445},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6273093223571777},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.6227698922157288},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6052244901657104},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5705260038375854},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.5455749034881592},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.503760039806366},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.48098933696746826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4726138412952423},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4571388363838196},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44454288482666016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4289079010486603},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41112565994262695},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.25421881675720215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11746633052825928},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2739480.2754717","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2739480.2754717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.cvut.cz:10467/62783","is_oa":true,"landing_page_url":"http://hdl.handle.net/10467/62783","pdf_url":"https://dspace.cvut.cz/bitstream/10467/62783/1/2015_Global%20Line%20Search_Posik.pdf","source":{"id":"https://openalex.org/S4306400739","display_name":"Cvut DSpace (Czech Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I44504214","host_organization_name":"Czech Technical University in Prague","host_organization_lineage":["https://openalex.org/I44504214"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book chapter"}],"best_oa_location":{"id":"pmh:oai:dspace.cvut.cz:10467/62783","is_oa":true,"landing_page_url":"http://hdl.handle.net/10467/62783","pdf_url":"https://dspace.cvut.cz/bitstream/10467/62783/1/2015_Global%20Line%20Search_Posik.pdf","source":{"id":"https://openalex.org/S4306400739","display_name":"Cvut DSpace (Czech Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I44504214","host_organization_name":"Czech Technical University in Prague","host_organization_lineage":["https://openalex.org/I44504214"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5400000214576721,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309972","display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze","ror":"https://ror.org/03kqpb082"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1989275682.pdf","grobid_xml":"https://content.openalex.org/works/W1989275682.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1499983649","https://openalex.org/W1950681193","https://openalex.org/W1967173212","https://openalex.org/W1997807546","https://openalex.org/W2002731955","https://openalex.org/W2078950386","https://openalex.org/W2094727221","https://openalex.org/W2148119325","https://openalex.org/W2171263583","https://openalex.org/W2208154600"],"related_works":["https://openalex.org/W2054868729","https://openalex.org/W2765709060","https://openalex.org/W1967414515","https://openalex.org/W2289289167","https://openalex.org/W2267977945","https://openalex.org/W2385953612","https://openalex.org/W2113807069","https://openalex.org/W3134606930","https://openalex.org/W3099656834","https://openalex.org/W1989275682"],"abstract_inverted_index":{"We":[0,36,62,85],"propose":[1],"a":[2,25,51,71,136],"novel":[3],"hybrid":[4,42,127],"algorithm":[5,43,66,96,117],"\"Brent-STEP\"":[6],"for":[7,121],"univariate":[8],"global":[9,15],"function":[10],"minimization,":[11],"based":[12],"on":[13,44,97,112,135],"the":[14,38,41,65,88,93,101,116],"line":[16],"search":[17],"method":[18],"STEP":[19],"and":[20,32,48,81,109],"accelerated":[21],"by":[22],"Brent's":[23],"method,":[24],"local":[26],"optimizer":[27],"that":[28,129],"combines":[29],"quadratic":[30],"interpolation":[31],"golden":[33],"section":[34],"steps.":[35],"analyze":[37],"performance":[39,91,108,134],"of":[40,92,100,106,139],"various":[45],"one-dimensional":[46],"functions":[47,99,114],"experimentally":[49,86],"demonstrate":[50,87],"significant":[52],"improvement":[53],"relative":[54],"to":[55,67,73,78,131],"its":[56],"constituent":[57],"algorithms":[58,128],"in":[59,123],"most":[60],"cases.":[61],"then":[63],"generalize":[64],"multivariate":[68,95],"functions,":[69],"proposing":[70],"scheme":[72],"interleave":[74],"evaluations":[75],"across":[76],"dimensions":[77],"achieve":[79],"smoother":[80],"more":[82],"efficient":[83],"convergence.":[84],"highly":[89],"competitive":[90],"proposed":[94],"separable":[98,113],"BBOB":[102],"benchmark.":[103],"The":[104],"combination":[105],"good":[107,133],"smooth":[110],"convergence":[111],"makes":[115],"an":[118],"interesting":[119],"candidate":[120],"inclusion":[122],"algorithmic":[124],"portfolios":[125],"or":[126],"aim":[130],"provide":[132],"wide":[137],"range":[138],"problems.":[140]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
