{"id":"https://openalex.org/W4413212474","doi":"https://doi.org/10.1109/tsp.2025.3596096","title":"A Globally Convergent Algorithm for Linear Minimax Regret Estimation of Deterministic Parameters with Bounded Data Uncertainties","display_name":"A Globally Convergent Algorithm for Linear Minimax Regret Estimation of Deterministic Parameters with Bounded Data Uncertainties","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413212474","doi":"https://doi.org/10.1109/tsp.2025.3596096"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2025.3596096","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3596096","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/A5025446890","display_name":"Zhujun Cao","orcid":"https://orcid.org/0009-0005-1415-323X"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhujun Cao","raw_affiliation_strings":["College of Mathematics, Sichuan University, Chengdu, China"],"raw_orcid":"https://orcid.org/0009-0005-1415-323X","affiliations":[{"raw_affiliation_string":"College of Mathematics, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091631370","display_name":"Enbin Song","orcid":"https://orcid.org/0000-0003-2100-5313"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Enbin Song","raw_affiliation_strings":["College of Mathematics, Sichuan University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-2100-5313","affiliations":[{"raw_affiliation_string":"College of Mathematics, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100382326","display_name":"Zhi Li","orcid":"https://orcid.org/0000-0002-9726-0057"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhi Li","raw_affiliation_strings":["Southwest China Research Institute of Electronic Equipment, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southwest China Research Institute of Electronic Equipment, Chengdu, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047697552","display_name":"Dunbiao Niu","orcid":"https://orcid.org/0000-0002-3971-054X"},"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":"Dunbiao Niu","raw_affiliation_strings":["Department of Control Science and Engineering, College of Electronics and Information Engineering, National Key Laboratory of Autonomous Intelligent Unmanned Systems, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-3971-054X","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, College of Electronics and Information Engineering, National Key Laboratory of Autonomous Intelligent Unmanned Systems, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089209912","display_name":"Jilong Lyu","orcid":"https://orcid.org/0009-0007-9678-6405"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jilong Lyu","raw_affiliation_strings":["College of Mathematics, Sichuan University, Chengdu, China"],"raw_orcid":"https://orcid.org/0009-0007-9678-6405","affiliations":[{"raw_affiliation_string":"College of Mathematics, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018173821","display_name":"Juping Gu","orcid":"https://orcid.org/0000-0003-0078-4602"},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juping Gu","raw_affiliation_strings":["School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-0078-4602","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059252324","display_name":"Qingjiang Shi","orcid":"https://orcid.org/0000-0003-0507-9080"},"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":"Qingjiang Shi","raw_affiliation_strings":["School of Software Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-0507-9080","affiliations":[{"raw_affiliation_string":"School of Software Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5025446890"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23447388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":null,"first_page":"4240","last_page":"4256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.953000009059906,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.953000009059906,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11236","display_name":"Control Systems and Identification","score":0.9049000144004822,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/regret","display_name":"Regret","score":0.7779275178909302},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.679053783416748},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5925410985946655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5317667126655579},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.521044909954071},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4914020299911499},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4366370737552643},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19581761956214905}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.7779275178909302},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.679053783416748},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5925410985946655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5317667126655579},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.521044909954071},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4914020299911499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4366370737552643},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19581761956214905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2025.3596096","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3596096","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":[{"id":"https://openalex.org/G3990962312","display_name":null,"funder_award_id":"62231019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G702283861","display_name":null,"funder_award_id":"72531008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1542938076","https://openalex.org/W1966593585","https://openalex.org/W1976922185","https://openalex.org/W1996215314","https://openalex.org/W1998848828","https://openalex.org/W2014002306","https://openalex.org/W2046033161","https://openalex.org/W2051668769","https://openalex.org/W2074859470","https://openalex.org/W2076420009","https://openalex.org/W2076626169","https://openalex.org/W2079784985","https://openalex.org/W2088606603","https://openalex.org/W2099111195","https://openalex.org/W2103709955","https://openalex.org/W2107467870","https://openalex.org/W2113168978","https://openalex.org/W2125359511","https://openalex.org/W2126178628","https://openalex.org/W2131024393","https://openalex.org/W2135341600","https://openalex.org/W2151481501","https://openalex.org/W2152976633","https://openalex.org/W2154028119","https://openalex.org/W2160923521","https://openalex.org/W2592489102","https://openalex.org/W2623168734","https://openalex.org/W2763081248","https://openalex.org/W2985420217","https://openalex.org/W3205227205","https://openalex.org/W4206277782","https://openalex.org/W4206324394","https://openalex.org/W4211192810","https://openalex.org/W4213251304","https://openalex.org/W4225492795","https://openalex.org/W4229706427","https://openalex.org/W4293811421","https://openalex.org/W4387546292","https://openalex.org/W4389403338","https://openalex.org/W4398152827","https://openalex.org/W4399895334"],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2101991911","https://openalex.org/W2155070487","https://openalex.org/W4311589891","https://openalex.org/W1542540349","https://openalex.org/W3182145356"],"abstract_inverted_index":{"Estimating":[0],"an":[1],"unknown":[2],"deterministic":[3],"parameter":[4,115],"vector":[5,116],"with":[6,74,165,200],"a":[7,11,93,121,138,201],"linear":[8,13,203],"estimator":[9,36,152,212],"in":[10,17,25,37,117,186],"noisy":[12],"model":[14],"is":[15,54,90],"well-known":[16],"statistics.":[18],"This":[19,124],"paper":[20],"studies":[21],"the":[22,33,38,52,55,58,66,70,81,111,114,118,127,135,142,150,161,166,173,177,187,207,210],"open":[23],"problem":[24,89],"<xref":[26,84,98],"ref-type=\"bibr\"":[27],"rid=\"ref1\"":[28],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[29,87,101],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">[1]</xref>,":[30],"i.e.,":[31],"developing":[32],"minimax":[34,82,96],"regret":[35,53,83,97,119],"presence":[39],"of":[40,48,65,129,137,169,209],"bounded":[41],"data":[42],"uncertainties":[43],"for":[44,141,198],"more":[45],"general":[46],"classes":[47],"weighting":[49],"matrices,":[50],"where":[51],"difference":[56],"between":[57,113],"mean-squared":[59],"error":[60],"(MSE)":[61],"attainable":[62,73],"without":[63],"knowledge":[64],"true":[67],"parameters":[68],"and":[69,107,120,147,213],"optimal":[71],"MSE":[72],"such":[75],"knowledge.":[76],"Firstly,":[77],"we":[78,133,157],"establish":[79],"that":[80],"ref-type=\"disp-formula\"":[85,99],"rid=\"deqnmr1\"":[86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(MR)</xref>":[88],"equivalent":[91],"to":[92,159,171],"semidefinite":[94],"relaxation":[95],"rid=\"deqnsdr1\"":[100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(SDR-MR)</xref>":[102],"problem,":[103],"utilizing":[104],"SDR":[105],"techniques":[106],"exploring":[108],"deeper":[109],"into":[110],"relation":[112],"rank-one":[122],"matrix.":[123],"equivalence":[125],"forms":[126],"cornerstone":[128],"our":[130,195,215],"analysis.":[131],"Subsequently,":[132],"investigate":[134],"existence":[136],"saddle":[139],"point":[140],"SDR-MR":[143],"problem\u2019s":[144],"objective":[145],"function,":[146],"directly":[148],"obtain":[149,172],"MR":[151,174,211],"if":[153],"one":[154],"exists.":[155],"Otherwise,":[156],"proceed":[158],"employ":[160],"projected":[162],"subgradient":[163],"method,":[164],"sublinear":[167],"rate":[168],"convergence,":[170],"estimator.":[175],"Notably,":[176],"main":[178],"challenges":[179],"stem":[180],"from":[181],"some":[182],"non-convex":[183],"problems":[184],"involved":[185],"above":[188],"process,":[189],"which":[190],"are":[191],"effectively":[192],"addressed":[193],"by":[194],"algorithm":[196],"designed":[197],"SDP":[199],"single":[202],"fractional.":[204],"Simulations":[205],"demonstrate":[206],"effectiveness":[208],"validate":[214],"theoretical":[216],"results.":[217]},"counts_by_year":[],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}
