{"id":"https://openalex.org/W4402435196","doi":"https://doi.org/10.1109/tsp.2024.3458008","title":"Extreme Point Pursuit\u2014Part I: A Framework for Constant Modulus Optimization","display_name":"Extreme Point Pursuit\u2014Part I: A Framework for Constant Modulus Optimization","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402435196","doi":"https://doi.org/10.1109/tsp.2024.3458008"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3458008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3458008","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107125603","display_name":"Junbin Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junbin Liu","raw_affiliation_strings":["Department of Electronic Engineering, The Chinese University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, The Chinese University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115596875","display_name":"Ya Liu","orcid":"https://orcid.org/0009-0005-5866-3178"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya Liu","raw_affiliation_strings":["Department of Electronic Engineering, The Chinese University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, The Chinese University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107125604","display_name":"Wing-Kin Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wing-Kin Ma","raw_affiliation_strings":["Department of Electronic Engineering, The Chinese University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, The Chinese University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107125605","display_name":"Mingjie Shao","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingjie Shao","raw_affiliation_strings":["School of Information Science and Engineering, Shandong University, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong University, Qingdao, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105881332","display_name":"Anthony Man\u2013Cho So","orcid":"https://orcid.org/0000-0003-2588-7851"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anthony Man-Cho So","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5107125603"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":1.8401,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8694202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"72","issue":null,"first_page":"4541","last_page":"4556"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.499099999666214,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.499099999666214,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.4659000039100647,"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"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.4345000088214874,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/constant","display_name":"Constant (computer programming)","score":0.663701057434082},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.4787042438983917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46028485894203186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44796422123908997},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4410395622253418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37672367691993713},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3253181278705597},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16674771904945374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11244872212409973}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.663701057434082},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.4787042438983917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46028485894203186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44796422123908997},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4410395622253418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37672367691993713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3253181278705597},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16674771904945374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11244872212409973},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2024.3458008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3458008","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W621643794","https://openalex.org/W1551360398","https://openalex.org/W1967138577","https://openalex.org/W1970039276","https://openalex.org/W1975900269","https://openalex.org/W1992633833","https://openalex.org/W2016445775","https://openalex.org/W2020025073","https://openalex.org/W2036836182","https://openalex.org/W2043545458","https://openalex.org/W2070012586","https://openalex.org/W2074738960","https://openalex.org/W2097417531","https://openalex.org/W2103144557","https://openalex.org/W2105543877","https://openalex.org/W2113820768","https://openalex.org/W2118388189","https://openalex.org/W2145080587","https://openalex.org/W2150683370","https://openalex.org/W2166524953","https://openalex.org/W2180180824","https://openalex.org/W2476974423","https://openalex.org/W2586063770","https://openalex.org/W2763081248","https://openalex.org/W2963742264","https://openalex.org/W2965036497","https://openalex.org/W2969909702","https://openalex.org/W2999695911","https://openalex.org/W3018620303","https://openalex.org/W3109748576","https://openalex.org/W3118087899","https://openalex.org/W3120746772","https://openalex.org/W4205293427","https://openalex.org/W4206529845","https://openalex.org/W4224917504","https://openalex.org/W4231147659","https://openalex.org/W4249667877","https://openalex.org/W4319777723","https://openalex.org/W4323539420","https://openalex.org/W4380742732","https://openalex.org/W4387717601","https://openalex.org/W4392904224","https://openalex.org/W4403849386","https://openalex.org/W6639581933","https://openalex.org/W6747112650","https://openalex.org/W6767405018","https://openalex.org/W6876529145"],"related_works":["https://openalex.org/W3189643850","https://openalex.org/W2375407244","https://openalex.org/W2061565576","https://openalex.org/W2039994059","https://openalex.org/W1913561908","https://openalex.org/W2120254947","https://openalex.org/W2113698846","https://openalex.org/W111504223","https://openalex.org/W2055701728","https://openalex.org/W1991235662"],"abstract_inverted_index":{"This":[0],"study":[1,47,96,127],"develops":[2],"a":[3,6,48,134],"framework":[4,132],"for":[5,52,120],"class":[7],"of":[8,31,40,58,85,92,115,123,137],"constant":[9],"modulus":[10],"(CM)":[11],"optimization":[12,69],"problems,":[13],"which":[14,99],"covers":[15],"binary":[16,32],"constraints,":[17,20,23,27],"discrete":[18],"phase":[19],"semi-orthogonal":[21,25],"matrix":[22,26],"non-negative":[24],"and":[28,43],"several":[29],"types":[30],"assignment":[33],"constraints.":[34],"Capitalizing":[35],"on":[36],"the":[37,73,82,90,100,113,116,130],"basic":[38],"principles":[39],"concave":[41],"minimization":[42],"error":[44],"bounds,":[45],"we":[46,88],"convex-constrained":[49],"penalized":[50],"formulation":[51,60,101],"general":[53],"CM":[54,124],"problems.":[55],"The":[56],"advantage":[57],"such":[59,71],"is":[61],"that":[62,129],"it":[63],"allows":[64],"us":[65],"to":[66,78,112],"leverage":[67],"non-convex":[68],"techniques,":[70],"as":[72],"simple":[74],"projected":[75,117],"gradient":[76,118],"method,":[77],"build":[79],"algorithms.":[80],"As":[81],"first":[83],"part":[84],"this":[86,93],"study,":[87],"explore":[89],"theory":[91],"framework.":[94],"We":[95,106],"conditions":[97],"under":[98],"provides":[102],"exact":[103],"penalization":[104],"results.":[105],"also":[107],"examine":[108],"computational":[109],"aspects":[110],"relating":[111],"use":[114],"method":[119],"each":[121],"type":[122],"constraint.":[125],"Our":[126],"suggests":[128],"proposed":[131],"has":[133],"broad":[135],"scope":[136],"applicability.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
