{"id":"https://openalex.org/W2102628473","doi":"https://doi.org/10.1109/isit.2010.5513344","title":"High-dimensional Matched Subspace Detection when data are missing","display_name":"High-dimensional Matched Subspace Detection when data are missing","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2102628473","doi":"https://doi.org/10.1109/isit.2010.5513344","mag":"2102628473"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/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":["University of Wisconsin, Madison, USA","University of Wisconsin\u2013Madison  USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Madison, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin\u2013Madison  USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","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":["University of Wisconsin, Madison, USA","University of Wisconsin\u2013Madison  USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Madison, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin\u2013Madison  USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","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":["University of Wisconsin, Madison, USA","University of Wisconsin\u2013Madison  USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Madison, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin\u2013Madison  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":6.9172,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.97513866,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1638","last_page":"1642"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/subspace-topology","display_name":"Subspace topology","score":0.7376423478126526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6200070381164551},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.5779885649681091},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4228464961051941},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4066852331161499},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.13472631573677063}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7376423478126526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6200070381164551},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.5779885649681091},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4228464961051941},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4066852331161499},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.13472631573677063}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1529624360","https://openalex.org/W1970099214","https://openalex.org/W2014690245","https://openalex.org/W2107820823","https://openalex.org/W2120872934","https://openalex.org/W2131556788","https://openalex.org/W2158771018","https://openalex.org/W2170481245","https://openalex.org/W2477424298","https://openalex.org/W2611328865","https://openalex.org/W2951810887","https://openalex.org/W2989661724","https://openalex.org/W3147705998","https://openalex.org/W6631521340","https://openalex.org/W6654322155","https://openalex.org/W6677959539"],"related_works":["https://openalex.org/W2016349419","https://openalex.org/W2543161807","https://openalex.org/W2321141263","https://openalex.org/W2159633528","https://openalex.org/W2164844972","https://openalex.org/W1998938004","https://openalex.org/W2157903613","https://openalex.org/W2119875513","https://openalex.org/W2167592635","https://openalex.org/W1510561540"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,27,92,95],"problem":[3,25],"of":[4,71,94],"deciding":[5],"whether":[6],"a":[7,13,22,45,56],"highly":[8],"incomplete":[9],"signal":[10,28,52],"lies":[11],"within":[12],"given":[14],"subspace.":[15],"This":[16],"problem,":[17],"Matched":[18],"Subspace":[19],"Detection,":[20],"is":[21,29,53,78,88],"classical,":[23],"well-studied":[24],"when":[26],"completely":[30],"observed.":[31],"High-dimensional":[32],"testing":[33],"problems":[34],"in":[35,58,97],"which":[36],"it":[37],"may":[38],"be":[39],"prohibitive":[40],"or":[41],"impossible":[42],"to":[43],"obtain":[44],"complete":[46],"observation":[47],"motivate":[48],"this":[49],"work.":[50],"The":[51],"represented":[54],"as":[55,84,86],"vector":[57],"\u211d":[59],"<sup":[60],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[62],",":[63],"but":[64],"we":[65],"only":[66],"observe":[67],"m":[68,87],"\u226a":[69],"n":[70],"its":[72],"elements.We":[73],"show":[74],"that":[75],"reliable":[76],"detection":[77],"possible,":[79],"under":[80],"mild":[81],"incoherence":[82],"conditions,":[83],"long":[85],"slightly":[89],"greater":[90],"than":[91],"dimension":[93],"subspace":[96],"question.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":11}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}