{"id":"https://openalex.org/W4404988440","doi":"https://doi.org/10.1109/tit.2026.3667733","title":"Optimal Estimation of Shared Singular Subspaces Across Multiple Noisy Matrices","display_name":"Optimal Estimation of Shared Singular Subspaces Across Multiple Noisy Matrices","publication_year":2026,"publication_date":"2026-02-24","ids":{"openalex":"https://openalex.org/W4404988440","doi":"https://doi.org/10.1109/tit.2026.3667733"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2026.3667733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2026.3667733","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2411.17054","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019668843","display_name":"Zhihua Ma","orcid":"https://orcid.org/0000-0002-2426-3038"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhengchi Ma","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"raw_orcid":"https://orcid.org/0009-0003-4466-479X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115588151","display_name":"Rong Ma","orcid":"https://orcid.org/0000-0002-9865-3047"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rong Ma","raw_affiliation_strings":["Department of Biostatistics, Harvard T. H. Chan School of Public Health, Boston, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9248-8503","affiliations":[{"raw_affiliation_string":"Department of Biostatistics, Harvard T. H. Chan School of Public Health, Boston, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0220554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"5","first_page":"3277","last_page":"3300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9729999899864197,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9729999899864197,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9431999921798706,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.8484960198402405},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.6530847549438477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5839928984642029},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4344540238380432},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3698806166648865},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34275561571121216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3275027871131897},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10396328568458557}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8484960198402405},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.6530847549438477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5839928984642029},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4344540238380432},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3698806166648865},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34275561571121216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3275027871131897},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10396328568458557},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2026.3667733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2026.3667733","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2411.17054","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.17054","pdf_url":"https://arxiv.org/pdf/2411.17054","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:arXiv.org:2411.17054","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2411.17054","pdf_url":"https://arxiv.org/pdf/2411.17054","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2411.17054","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2411.17054","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2411.17054","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.17054","pdf_url":"https://arxiv.org/pdf/2411.17054","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404988440.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2391321755","https://openalex.org/W2949110394","https://openalex.org/W2896134808","https://openalex.org/W4289378085","https://openalex.org/W2071055957","https://openalex.org/W4211228991","https://openalex.org/W2353790329","https://openalex.org/W3103861421","https://openalex.org/W2279743781"],"abstract_inverted_index":{"Estimating":[0],"singular":[1,32,52,75,93,110,176],"subspaces":[2,33,76,111],"from":[3],"noisy":[4,79],"matrices":[5,36,80,95],"is":[6,49],"a":[7,38,84],"fundamental":[8],"problem":[9],"with":[10,158],"wide-ranging":[11],"applications":[12,195],"across":[13,34,116],"various":[14,119],"fields.":[15],"Driven":[16],"by":[17],"the":[18,56,63,73,78,103,108,127,152,197],"challenges":[19],"of":[20,77,91,121,154,199],"data":[21,194],"integration":[22],"and":[23,165,174,192],"multi-view":[24],"analysis,":[25],"this":[26,47],"study":[27],"focuses":[28],"on":[29,55,89],"estimating":[30],"shared":[31,115,173],"multiple":[35],"within":[37],"low-rank":[39],"matrix":[40,58],"denoising":[41],"framework.":[42],"A":[43],"common":[44],"approach":[45,87],"for":[46],"task":[48],"to":[50,139,170],"perform":[51],"value":[53],"decomposition":[54],"stacked":[57],"(Stack-SVD),":[59],"which":[60,130],"concatenates":[61],"all":[62],"matrices.":[64,117],"We":[65,100,178],"establish":[66],"that":[67,181],"Stack-SVD":[68,131,155],"achieves":[69,134],"minimax":[70,135,185],"rate-optimality":[71,186],"when":[72],"true":[74,109],"are":[81,112],"identical,":[82],"whereas":[83],"popular":[85],"alternative":[86],"based":[88],"SVD":[90],"concatenated":[92],"vector":[94],"(Average-SVD)":[96],"can":[97],"be":[98],"sub-optimal.":[99],"then":[101],"tackle":[102],"more":[104],"complex":[105],"scenario":[106],"where":[107],"only":[113],"partially":[114],"For":[118],"cases":[120],"partial":[122,159,188],"sharing,":[123,160],"we":[124,161],"rigorously":[125],"characterize":[126],"conditions":[128],"under":[129,187],"remains":[132],"effective,":[133],"optimality,":[136],"or":[137],"fails":[138],"deliver":[140],"consistent":[141],"estimates,":[142],"offering":[143],"theoretical":[144],"insights":[145],"into":[146],"its":[147],"practical":[148],"applicability.":[149],"To":[150],"address":[151],"limitations":[153],"in":[156],"scenarios":[157],"propose":[162],"novel":[163],"estimators":[164],"an":[166],"efficient":[167],"algorithm":[168],"designed":[169],"identify":[171],"both":[172],"unshared":[175],"vectors.":[177],"further":[179],"prove":[180],"these":[182],"methods":[183],"attain":[184],"sharing.":[189],"Extensive":[190],"simulations":[191],"real-world":[193],"demonstrate":[196],"advantages":[198],"our":[200],"proposed":[201],"approach.":[202]},"counts_by_year":[],"updated_date":"2026-07-17T05:52:16.776730","created_date":"2024-12-05T00:00:00"}
