{"id":"https://openalex.org/W2940127727","doi":"https://doi.org/10.1109/icassp.2019.8682540","title":"Statistical Rank Selection for Incomplete Low-rank Matrices","display_name":"Statistical Rank Selection for Incomplete Low-rank Matrices","publication_year":2019,"publication_date":"2019-04-17","ids":{"openalex":"https://openalex.org/W2940127727","doi":"https://doi.org/10.1109/icassp.2019.8682540","mag":"2940127727"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2019.8682540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8682540","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5100421978","display_name":"Rui Zhang","orcid":"https://orcid.org/0000-0001-9418-0863"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rui Zhang","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025917676","display_name":"Alexander Shapiro","orcid":"https://orcid.org/0000-0002-4776-0053"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Shapiro","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047736740","display_name":"Yao Xie","orcid":"https://orcid.org/0000-0001-6777-2951"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yao Xie","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100421978"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.7567,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68007858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":null,"first_page":"2912","last_page":"2916"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9785000085830688,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9783999919891357,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.827376127243042},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.5739626884460449},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5223401784896851},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.49012574553489685},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4720229506492615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4603642225265503},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.45484647154808044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44252875447273254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35644426941871643},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2886301875114441},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13062304258346558}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.827376127243042},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.5739626884460449},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5223401784896851},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.49012574553489685},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4720229506492615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4603642225265503},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.45484647154808044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44252875447273254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35644426941871643},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2886301875114441},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13062304258346558}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2019.8682540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8682540","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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":21,"referenced_works":["https://openalex.org/W1606841335","https://openalex.org/W2000157792","https://openalex.org/W2054141820","https://openalex.org/W2056453713","https://openalex.org/W2103972604","https://openalex.org/W2119058682","https://openalex.org/W2137392412","https://openalex.org/W2144730813","https://openalex.org/W2146130798","https://openalex.org/W2268674159","https://openalex.org/W2566608758","https://openalex.org/W2611328865","https://openalex.org/W2762475559","https://openalex.org/W2785436244","https://openalex.org/W2798769914","https://openalex.org/W2920596907","https://openalex.org/W3003365835","https://openalex.org/W3105489725","https://openalex.org/W3138835833","https://openalex.org/W6682042988","https://openalex.org/W6747646972"],"related_works":["https://openalex.org/W3000984192","https://openalex.org/W137830373","https://openalex.org/W4286952477","https://openalex.org/W2134368299","https://openalex.org/W4321348134","https://openalex.org/W2103073163","https://openalex.org/W4226211120","https://openalex.org/W2461683294","https://openalex.org/W3017020030","https://openalex.org/W2171342382"],"abstract_inverted_index":{"We":[0,13,33],"consider":[1],"the":[2,6,9,39,49,52,57,69,75],"problem":[3],"of":[4,51,86],"determining":[5],"rank":[7,41,64,70,89],"in":[8],"low-rank":[10],"matrix":[11],"completion.":[12],"propose":[14,61],"a":[15,35,62],"statistical":[16,72],"model":[17],"for":[18,24,38],"noisy":[19],"observation.":[20],"It":[21],"is":[22],"important":[23],"many":[25],"existing":[26],"algorithms":[27],"and":[28,83],"sometimes":[29],"has":[30],"practical":[31],"meanings.":[32],"construct":[34],"test":[36,53,58,65,90],"statistics":[37],"low":[40],"approximation":[42],"problem.":[43],"Under":[44],"this":[45],"model,":[46],"we":[47,60,78],"derive":[48],"distribution":[50],"statistics.":[54],"By":[55],"applying":[56],"statistics,":[59],"sequential":[63],"procedure":[66],"to":[67],"determine":[68],"with":[71],"inference.":[73],"In":[74],"numerical":[76],"section,":[77],"illustrate":[79],"our":[80,87],"theoretical":[81],"results":[82],"give":[84],"examples":[85],"proposed":[88],"procedure.":[91]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}