{"id":"https://openalex.org/W4211077665","doi":"https://doi.org/10.1109/tcyb.2021.3119591","title":"Extension of Stochastic Point Location for Multimodal Problems","display_name":"Extension of Stochastic Point Location for Multimodal Problems","publication_year":2022,"publication_date":"2022-02-09","ids":{"openalex":"https://openalex.org/W4211077665","doi":"https://doi.org/10.1109/tcyb.2021.3119591","pmid":"https://pubmed.ncbi.nlm.nih.gov/35139033"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3119591","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3119591","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Junqi Zhang","orcid":"https://orcid.org/0000-0002-4465-5880"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junqi Zhang","raw_affiliation_strings":["Department of Computer Science and Technology, Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Pengzhan Qiu","orcid":"https://orcid.org/0000-0002-0157-4271"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengzhan Qiu","raw_affiliation_strings":["Department of Computer Science and Technology, Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mengchu Zhou","orcid":"https://orcid.org/0000-0002-5408-8752"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mengchu Zhou","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New Jersey Institute of Technology, Newark, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New Jersey Institute of Technology, Newark, NJ, USA","institution_ids":["https://openalex.org/I118118575"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":0.2757,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60089832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"53","issue":"9","first_page":"5403","last_page":"5413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.29330000281333923,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.29330000281333923,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.11789999902248383,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.10010000318288803,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5641999840736389},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5059999823570251},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4708000123500824},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4659000039100647},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4602000117301941},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.45159998536109924},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.37720000743865967},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.3709000051021576}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5641999840736389},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5059999823570251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48539999127388},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4708000123500824},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4659000039100647},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4602000117301941},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.45159998536109924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4458000063896179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43549999594688416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4300000071525574},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.37720000743865967},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.3709000051021576},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.3596000075340271},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.33660000562667847},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3231000006198883},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3109999895095825},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.2969000041484833},{"id":"https://openalex.org/C201789804","wikidata":"https://www.wikidata.org/wiki/Q2362762","display_name":"Search problem","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.25270000100135803},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3119591","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3119591","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:35139033","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35139033","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1847716059","https://openalex.org/W1946988829","https://openalex.org/W1965392777","https://openalex.org/W1977037109","https://openalex.org/W1979406754","https://openalex.org/W1981319324","https://openalex.org/W1986906237","https://openalex.org/W1997737572","https://openalex.org/W2001012564","https://openalex.org/W2011383489","https://openalex.org/W2047893268","https://openalex.org/W2064398716","https://openalex.org/W2066506899","https://openalex.org/W2068610075","https://openalex.org/W2071975125","https://openalex.org/W2089046812","https://openalex.org/W2118017686","https://openalex.org/W2134648356","https://openalex.org/W2156623949","https://openalex.org/W2157321916","https://openalex.org/W2164636053","https://openalex.org/W2169101278","https://openalex.org/W2169378929","https://openalex.org/W2247662200","https://openalex.org/W2318328516","https://openalex.org/W2327828747","https://openalex.org/W2564330218","https://openalex.org/W2586316225","https://openalex.org/W2781324069","https://openalex.org/W2782681011","https://openalex.org/W2803015936","https://openalex.org/W2904387011","https://openalex.org/W2939395981","https://openalex.org/W2940472483","https://openalex.org/W2968534587","https://openalex.org/W3000090293","https://openalex.org/W3115742705","https://openalex.org/W3120225493","https://openalex.org/W3135452621","https://openalex.org/W3149900634","https://openalex.org/W3160398558","https://openalex.org/W6742742047"],"related_works":[],"abstract_inverted_index":{"Stochastic":[0],"point":[1,12],"location":[2],"(SPL)":[3],"involves":[4,141],"a":[5,53,94,116,120,125],"learning":[6],"mechanism":[7],"(LM)":[8],"determining":[9],"an":[10],"optimal":[11,91,101,157,196,200],"on":[13],"the":[14,17,26,39,43,65,84,138,143,146,152,156,164,177,180,186,192,195,199,216,221,231,234],"line":[15],"when":[16],"only":[18,89],"inputs":[19],"LM":[20,30,48],"receives":[21],"are":[22,202],"stochastic":[23,40],"information":[24,149,183],"about":[25],"direction":[27],"in":[28,56],"which":[29,45],"should":[31],"move.":[32],"The":[33,135,213,226],"complexity":[34],"of":[35,42,71,137,145,179,215,233],"SPL":[36,51,80],"comes":[37],"from":[38,115],"responses":[41],"environment,":[44],"may":[46],"lead":[47],"completely":[49],"astray.":[50],"is":[52,104,224],"fundamental":[54],"problem":[55,97,118],"optimization":[57,96],"and":[58,74,123,171,189],"was":[59],"studied":[60],"by":[61],"many":[62],"researchers":[63],"during":[64],"last":[66],"two":[67],"decades,":[68],"including":[69],"improvement":[70],"its":[72],"solution":[73,130,140,223],"all-pervasive":[75],"applications.":[76],"However,":[77],"all":[78],"existing":[79],"studies":[81],"assume":[82],"that":[83,154],"whole":[85,165],"search":[86,128,166],"space":[87,167],"contains":[88,99],"one":[90,122],"point.":[92],"Since":[93],"multimodal":[95,109,121],"(MMOP)":[98],"multiple":[100,169],"solutions,":[102],"it":[103,114,162],"significant":[105],"to":[106,119,131,150,184,190,208],"develop":[107],"SPL's":[108],"version.":[110],"This":[111],"article":[112],"extends":[113],"unimodal":[117],"proposes":[124],"parallel":[126],"partition":[127],"(PPS)":[129],"address":[132],"this":[133],"issue.":[134],"heart":[136],"proposed":[139,222],"extracting":[142],"feature":[144,178],"historical":[147,181],"sampling":[148,182,211],"distinguish":[151],"subintervals":[153,170,187,193,206],"contain":[155],"points":[158,201],"or":[159],"not.":[160],"Specifically,":[161],"divides":[163],"into":[168],"samples":[172],"them":[173],"parallelly,":[174],"then":[175],"utilizes":[176],"adjust":[185],"adaptively":[188],"find":[191],"containing":[194],"points.":[197],"Finally,":[198],"located":[203],"within":[204],"these":[205],"according":[207],"their":[209],"respective":[210],"statistics.":[212],"proof":[214],"\u03f5":[217],"-optimal":[218],"property":[219],"for":[220],"presented.":[225],"numerical":[227],"testing":[228],"results":[229],"demonstrate":[230],"power":[232],"scheme.":[235]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2022-02-13T00:00:00"}
