{"id":"https://openalex.org/W2151358751","doi":"https://doi.org/10.1109/allerton.2010.5706976","title":"Online identification and tracking of subspaces from highly incomplete information","display_name":"Online identification and tracking of subspaces from highly incomplete information","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2151358751","doi":"https://doi.org/10.1109/allerton.2010.5706976","mag":"2151358751"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5706976","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5706976","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1006.4046","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029521003","display_name":"Laura Balzano","orcid":"https://orcid.org/0000-0003-2914-123X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Laura Balzano","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Wisconsin, Madison, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Wisconsin, Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106921483","display_name":"Robert D. Nowak","orcid":"https://orcid.org/0000-0001-8743-0887"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Nowak","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Wisconsin, Madison, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Wisconsin, Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012870568","display_name":"Benjamin Recht","orcid":"https://orcid.org/0000-0002-0293-593X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Recht","raw_affiliation_strings":["School of Computer Sciences, University of Wisconsin, Madison, USA"],"affiliations":[{"raw_affiliation_string":"School of Computer Sciences, University of Wisconsin, Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029521003"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":3.1126,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.91975137,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"704","last_page":"711"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9987000226974487,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.8616997003555298},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7538504600524902},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5737971067428589},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4743446409702301},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4727029800415039},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.4645079970359802},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.464020311832428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4530867338180542},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.44750556349754333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.439532607793808},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.42021316289901733},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3114822804927826},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18711847066879272}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8616997003555298},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7538504600524902},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5737971067428589},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4743446409702301},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4727029800415039},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.4645079970359802},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.464020311832428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4530867338180542},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.44750556349754333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.439532607793808},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.42021316289901733},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3114822804927826},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18711847066879272},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1109/allerton.2010.5706976","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5706976","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1006.4046","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.4046","pdf_url":"https://arxiv.org/pdf/1006.4046","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"},{"id":"mag:2151358751","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1006.4046.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.168.1100","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.168.1100","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.wisc.edu/%7Ebrecht/papers/10.Bal.Now.Rec.GROUSE.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.296.7847","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.296.7847","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://nowak.ece.wisc.edu/online_mc.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.721.2687","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.721.2687","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://iweb.tntech.edu/rqiu/readinggroup/Online%20Identication%20and%20Tracking%20of%20Subspaces%20from%20Highly.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.4656","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.4656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1006.4046.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1006.4046","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1006.4046","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1006.4046","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.4046","pdf_url":"https://arxiv.org/pdf/1006.4046","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":[],"funders":[{"id":"https://openalex.org/F4320320273","display_name":"University of Cambridge","ror":"https://ror.org/013meh722"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2151358751.pdf","grobid_xml":"https://content.openalex.org/works/W2151358751.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1499021337","https://openalex.org/W1590080622","https://openalex.org/W2000157792","https://openalex.org/W2006554909","https://openalex.org/W2017641901","https://openalex.org/W2045512849","https://openalex.org/W2057531168","https://openalex.org/W2102628473","https://openalex.org/W2103972604","https://openalex.org/W2133884101","https://openalex.org/W2138505091","https://openalex.org/W2144730813","https://openalex.org/W2154249783","https://openalex.org/W2157578436","https://openalex.org/W2158382689","https://openalex.org/W2563514787","https://openalex.org/W6635106131","https://openalex.org/W6653445995","https://openalex.org/W6683424812"],"related_works":["https://openalex.org/W2145962650","https://openalex.org/W2103972604","https://openalex.org/W2611328865","https://openalex.org/W2060204507","https://openalex.org/W2158923808","https://openalex.org/W2118550318","https://openalex.org/W1736339626","https://openalex.org/W2144730813","https://openalex.org/W2134332047","https://openalex.org/W2096642693","https://openalex.org/W2058078260","https://openalex.org/W2045512849","https://openalex.org/W1804110266","https://openalex.org/W1573301526","https://openalex.org/W2527399347","https://openalex.org/W2339666411","https://openalex.org/W2154992274","https://openalex.org/W2126762950","https://openalex.org/W2011359124","https://openalex.org/W1976618413"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"GROUSE":[3,20,65,88],"(Grassmanian":[4],"Rank-One":[5],"Update":[6],"Subspace":[7],"Estimation),":[8],"an":[9,71,100],"efficient":[10],"online":[11,72,101],"algorithm":[12,47,74,102],"for":[13,75,103],"tracking":[14,96],"subspaces":[15,97],"from":[16],"highly":[17],"incomplete":[18],"observations.":[19],"requires":[21],"only":[22],"basic":[23],"linear":[24,38],"algebraic":[25],"manipulations":[26],"at":[27],"each":[28,31],"iteration,":[29],"and":[30,98],"subspace":[32],"update":[33],"can":[34,66],"be":[35,68],"performed":[36],"in":[37,40,92,95],"time":[39],"the":[41,44,56,76],"dimension":[42],"of":[43,59,80,84],"subspace.":[45],"The":[46],"is":[48],"derived":[49],"by":[50],"analyzing":[51],"incremental":[52,73],"gradient":[53],"descent":[54],"on":[55],"Grassmannian":[57],"manifold":[58],"subspaces.":[60],"With":[61],"a":[62,85],"slight":[63],"modification,":[64],"also":[67],"used":[69],"as":[70,99],"matrix":[77,104],"completion":[78],"problem":[79],"imputing":[81],"missing":[82],"entries":[83],"low-rank":[86],"matrix.":[87],"performs":[89],"exceptionally":[90],"well":[91],"practice":[93],"both":[94],"completion.":[105]},"counts_by_year":[{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}