{"id":"https://openalex.org/W2339027274","doi":"https://doi.org/10.1109/tac.2016.2595761","title":"Low-Complexity Modeling of Partially Available Second-Order Statistics: Theory and an Efficient Matrix Completion Algorithm","display_name":"Low-Complexity Modeling of Partially Available Second-Order Statistics: Theory and an Efficient Matrix Completion Algorithm","publication_year":2016,"publication_date":"2016-07-28","ids":{"openalex":"https://openalex.org/W2339027274","doi":"https://doi.org/10.1109/tac.2016.2595761","mag":"2339027274"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2016.2595761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2595761","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1412.3399","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035198573","display_name":"Armin Zare","orcid":"https://orcid.org/0000-0002-3532-5767"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Armin Zare","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066940107","display_name":"Yongxin Chen","orcid":"https://orcid.org/0000-0002-1459-6365"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongxin Chen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087790067","display_name":"Mihailo R. Jovanovi\u0107","orcid":"https://orcid.org/0000-0002-4181-2924"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mihailo R. Jovanovic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":"https://orcid.org/0000-0002-4181-2924","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035194316","display_name":"Tryphon T. Georgiou","orcid":"https://orcid.org/0000-0003-0012-5447"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tryphon T. Georgiou","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035198573"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":4.9381,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95018136,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"62","issue":"3","first_page":"1368","last_page":"1383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5997953414916992},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.5108718276023865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5064502954483032},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.4790274202823639},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43197542428970337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40390777587890625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33813369274139404},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3307187557220459}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5997953414916992},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.5108718276023865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5064502954483032},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.4790274202823639},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43197542428970337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40390777587890625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33813369274139404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3307187557220459},{"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2016.2595761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2595761","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1412.3399","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.3399","pdf_url":"https://arxiv.org/pdf/1412.3399","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1412.3399","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.3399","pdf_url":"https://arxiv.org/pdf/1412.3399","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4688857353","display_name":null,"funder_award_id":"FA9550-16-1-0009","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7206260288","display_name":null,"funder_award_id":"CMMI 1363266","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":85,"referenced_works":["https://openalex.org/W1534096605","https://openalex.org/W1534388827","https://openalex.org/W1858982327","https://openalex.org/W1966096622","https://openalex.org/W1970986119","https://openalex.org/W1980183459","https://openalex.org/W1985354527","https://openalex.org/W1987603926","https://openalex.org/W1990009759","https://openalex.org/W1992363721","https://openalex.org/W2000157792","https://openalex.org/W2003753589","https://openalex.org/W2006262045","https://openalex.org/W2010730829","https://openalex.org/W2023369695","https://openalex.org/W2031685172","https://openalex.org/W2032415923","https://openalex.org/W2038497950","https://openalex.org/W2040369882","https://openalex.org/W2043649076","https://openalex.org/W2047071281","https://openalex.org/W2053565326","https://openalex.org/W2053627353","https://openalex.org/W2069488728","https://openalex.org/W2076261573","https://openalex.org/W2076605490","https://openalex.org/W2080844831","https://openalex.org/W2083138589","https://openalex.org/W2093042090","https://openalex.org/W2098311563","https://openalex.org/W2102329484","https://openalex.org/W2103972604","https://openalex.org/W2106525189","https://openalex.org/W2118550318","https://openalex.org/W2120142311","https://openalex.org/W2123290908","https://openalex.org/W2127447444","https://openalex.org/W2134332047","https://openalex.org/W2137712154","https://openalex.org/W2142058898","https://openalex.org/W2144730813","https://openalex.org/W2145366562","https://openalex.org/W2146482778","https://openalex.org/W2149414429","https://openalex.org/W2151128232","https://openalex.org/W2154338503","https://openalex.org/W2163388364","https://openalex.org/W2164278908","https://openalex.org/W2165694945","https://openalex.org/W2296319761","https://openalex.org/W2470441680","https://openalex.org/W2610857016","https://openalex.org/W2611328865","https://openalex.org/W2913535645","https://openalex.org/W2952236056","https://openalex.org/W2952536819","https://openalex.org/W2953677864","https://openalex.org/W3100862213","https://openalex.org/W3102604626","https://openalex.org/W3102961917","https://openalex.org/W3103005988","https://openalex.org/W3104624268","https://openalex.org/W3106000378","https://openalex.org/W3125045090","https://openalex.org/W3130576095","https://openalex.org/W4206011855","https://openalex.org/W4233742192","https://openalex.org/W4245164763","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W4302398087","https://openalex.org/W6663766102","https://openalex.org/W6663970559","https://openalex.org/W6675289067","https://openalex.org/W6678965663","https://openalex.org/W6681413097","https://openalex.org/W6682227116","https://openalex.org/W6720550362","https://openalex.org/W6758920291","https://openalex.org/W6765038165","https://openalex.org/W6827084577","https://openalex.org/W6845146177","https://openalex.org/W6910775826","https://openalex.org/W7070413882"],"related_works":["https://openalex.org/W2963858139","https://openalex.org/W3118793956","https://openalex.org/W1530218127","https://openalex.org/W3099765941","https://openalex.org/W4301599454","https://openalex.org/W4232699667","https://openalex.org/W3081084973","https://openalex.org/W2054519467","https://openalex.org/W4300656036","https://openalex.org/W2964184729"],"abstract_inverted_index":{"State":[0],"statistics":[1],"of":[2,18,29,48,51,58,77,86,100,124,214,232],"linear":[3],"systems":[4],"satisfy":[5],"certain":[6],"structural":[7],"constraints":[8],"that":[9,41,90,171,210],"arise":[10],"from":[11],"the":[12,16,22,27,46,56,64,73,84,87,96,121,148,192,200,212,226],"underlying":[13],"dynamics":[14,76,97],"and":[15,75,98,107,137,161,195,217,220,225],"directionality":[17,74,99],"input":[19,78,101,126],"disturbances.":[20],"In":[21],"present":[23],"paper,":[24],"we":[25,60,91,114,141,176],"study":[26],"problem":[28,89,133,154,169,194],"completing":[30],"partially":[31],"known":[32,71],"state":[33,68],"statistics.":[34,111],"Our":[35],"aim":[36],"is":[37,70,80,93,155],"to":[38,94,105,116],"develop":[39,177],"tools":[40],"can":[42,162],"be":[43,163],"used":[44,228],"in":[45,62,103],"context":[47],"control-oriented":[49],"modeling":[50,216],"large-scale":[52],"dynamical":[53,65],"systems.":[54],"For":[55,168],"type":[57],"applications":[59],"have":[61],"mind,":[63],"interaction":[66],"between":[67,223],"variables":[69],"while":[72],"excitation":[79,102],"often":[81],"uncertain.":[82],"Thus,":[83],"goal":[85],"mathematical":[88],"formulate":[92,130],"identify":[95],"order":[104],"explain":[106,117],"complete":[108],"observed":[109],"sample":[110],"More":[112],"specifically,":[113],"seek":[115],"correlation":[118],"data":[119],"with":[120,202,207],"least":[122],"number":[123],"possible":[125],"disturbance":[127],"channels.":[128],"We":[129,184,205],"this":[131],"inverse":[132],"as":[134,157,187],"rank":[135],"minimization,":[136],"for":[138,191,199],"its":[139],"solution,":[140],"employ":[142],"a":[143,158,178,188],"convex":[144],"relaxation":[145],"based":[146],"on":[147],"nuclear":[149],"norm.":[150],"The":[151],"resulting":[152],"optimization":[153,218],"cast":[156],"semidefinite":[159],"program":[160],"solved":[164],"using":[165],"general-purpose":[166],"solvers.":[167],"sizes":[170],"these":[172],"solvers":[173],"cannot":[174],"handle,":[175],"customized":[179],"alternating":[180,229],"minimization":[181],"algorithm":[182,201],"(AMA).":[183],"interpret":[185],"AMA":[186,224],"proximal":[189],"gradient":[190],"dual":[193],"prove":[196],"sublinear":[197],"convergence":[198],"fixed":[203],"step-size.":[204],"conclude":[206],"an":[208],"example":[209],"illustrates":[211],"utility":[213],"our":[215],"framework":[219],"draw":[221],"contrast":[222],"commonly":[227],"direction":[230],"method":[231],"multipliers":[233],"(ADMM)":[234],"algorithm.":[235]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}