{"id":"https://openalex.org/W2053565326","doi":"https://doi.org/10.1109/cdc.2013.6760124","title":"An ADMM algorithm for matrix completion of partially known state covariances","display_name":"An ADMM algorithm for matrix completion of partially known state covariances","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2053565326","doi":"https://doi.org/10.1109/cdc.2013.6760124","mag":"2053565326"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760124","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5055236645","display_name":"Lin Fu","orcid":"https://orcid.org/0000-0001-8979-8415"},"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":"Fu Lin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA","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","Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA","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","Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1684","last_page":"1689"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11236","display_name":"Control Systems and Identification","score":0.9976999759674072,"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/singular-value-decomposition","display_name":"Singular value decomposition","score":0.652077853679657},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.6191195845603943},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5472221374511719},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5374785661697388},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5194451212882996},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5082759261131287},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.491312175989151},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.46960553526878357},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.450371652841568},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.44468724727630615},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4432021975517273},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42363080382347107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41594335436820984},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.39860212802886963},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.381791353225708},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.21800824999809265}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.652077853679657},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.6191195845603943},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5472221374511719},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5374785661697388},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5194451212882996},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5082759261131287},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.491312175989151},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.46960553526878357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.450371652841568},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.44468724727630615},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4432021975517273},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42363080382347107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41594335436820984},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.39860212802886963},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.381791353225708},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.21800824999809265},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760124","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1980183459","https://openalex.org/W2000157792","https://openalex.org/W2001801912","https://openalex.org/W2011359124","https://openalex.org/W2043983150","https://openalex.org/W2047071281","https://openalex.org/W2059283452","https://openalex.org/W2083138589","https://openalex.org/W2093042090","https://openalex.org/W2103972604","https://openalex.org/W2118550318","https://openalex.org/W2124608575","https://openalex.org/W2134332047","https://openalex.org/W2142058898","https://openalex.org/W2144730813","https://openalex.org/W2164278908","https://openalex.org/W2165694945","https://openalex.org/W2339666411","https://openalex.org/W2611328865","https://openalex.org/W3102961917","https://openalex.org/W4292363360","https://openalex.org/W6703697878"],"related_works":["https://openalex.org/W4319586039","https://openalex.org/W4382583540","https://openalex.org/W1607100495","https://openalex.org/W2148568324","https://openalex.org/W1990844505","https://openalex.org/W4378770618","https://openalex.org/W4386721910","https://openalex.org/W2010100052","https://openalex.org/W2184500224","https://openalex.org/W4384341135"],"abstract_inverted_index":{"We":[0,86],"study":[1],"the":[2,18,46,93,100,138,141],"inverse":[3],"problem":[4,52,94],"of":[5,11,21,104,112,120,140],"reproducing":[6],"partially":[7],"known":[8],"second-order":[9],"statistics":[10],"a":[12,31,41,57,89,96,118,127],"linear":[13,121],"time":[14],"invariant":[15],"system":[16,119],"by":[17],"least":[19],"number":[20],"possible":[22],"input":[23],"disturbance":[24],"channels.":[25],"This":[26],"can":[27,53],"be":[28,54],"formulated":[29],"as":[30,56],"rank":[32],"minimization":[33],"problem,":[34],"and":[35,60,68,78,126],"for":[36,66,99],"its":[37],"solution,":[38],"we":[39,74,107],"employ":[40],"convex":[42],"relaxation":[43],"based":[44],"on":[45,76],"nuclear":[47],"norm.":[48],"The":[49],"resulting":[50],"optimization":[51],"cast":[55],"semi-definite":[58],"program":[59],"solved":[61],"efficiently":[62],"using":[63],"general-purpose":[64],"solvers":[65],"small-":[67],"medium-size":[69],"problems.":[70],"In":[71],"this":[72,113],"paper,":[73],"focus":[75],"issues":[77],"techniques":[79],"that":[80,109],"are":[81],"pertinent":[82],"to":[83,116,136],"large-scale":[84],"systems.":[85],"bring":[87],"in":[88],"re-parameterization":[90],"which":[91],"transforms":[92],"into":[95],"form":[97],"suitable":[98],"alternating":[101],"direction":[102],"method":[103],"multipliers.":[105],"Furthermore,":[106],"show":[108],"each":[110],"iteration":[111],"algorithm":[114],"amounts":[115],"solving":[117],"equations,":[122],"an":[123],"eigenvalue":[124],"decomposition,":[125],"singular":[128],"value":[129],"thresholding.":[130],"An":[131],"illustrative":[132],"example":[133],"is":[134],"provided":[135],"demonstrate":[137],"effectiveness":[139],"developed":[142],"approach.":[143]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}