{"id":"https://openalex.org/W1525795381","doi":"https://doi.org/10.1109/icassp.2015.7178581","title":"Subspace projection matrix completion on Grassmann manifold","display_name":"Subspace projection matrix completion on Grassmann manifold","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1525795381","doi":"https://doi.org/10.1109/icassp.2015.7178581","mag":"1525795381"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2015.7178581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2015.7178581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5003439795","display_name":"Xinyue Shen","orcid":"https://orcid.org/0000-0001-7760-0897"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinyue Shen","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","State Key Laboratory on Microwave and Digital Communications,Tsinghua National Laboratory for Information Science and Technology,Department of Electronic Engineering,Tsinghua University,Beijing 100084,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory on Microwave and Digital Communications,Tsinghua National Laboratory for Information Science and Technology,Department of Electronic Engineering,Tsinghua University,Beijing 100084,China)","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100621681","display_name":"Yuantao Gu","orcid":"https://orcid.org/0000-0002-8427-1021"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuantao Gu","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","State Key Laboratory on Microwave and Digital Communications,Tsinghua National Laboratory for Information Science and Technology,Department of Electronic Engineering,Tsinghua University,Beijing 100084,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory on Microwave and Digital Communications,Tsinghua National Laboratory for Information Science and Technology,Department of Electronic Engineering,Tsinghua University,Beijing 100084,China)","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.3351,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59944898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3297","last_page":"3301"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9976999759674072,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9976000189781189,"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/subspace-topology","display_name":"Subspace topology","score":0.7728176116943359},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.6662622690200806},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5791059136390686},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5633012652397156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.547760546207428},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.543925940990448},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5268437266349792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5130795240402222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49695923924446106},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47946131229400635},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.4564523696899414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44109997153282166},{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.4301249384880066},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.42758530378341675},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4273509979248047},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42563462257385254},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22126984596252441},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18272197246551514},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.11585056781768799},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.10167482495307922}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7728176116943359},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.6662622690200806},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5791059136390686},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5633012652397156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.547760546207428},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.543925940990448},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5268437266349792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5130795240402222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49695923924446106},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47946131229400635},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.4564523696899414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44109997153282166},{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.4301249384880066},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.42758530378341675},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4273509979248047},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42563462257385254},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22126984596252441},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18272197246551514},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.11585056781768799},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.10167482495307922},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2015.7178581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2015.7178581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.725.4493","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.725.4493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://gu.ee.tsinghua.edu.cn/index.php/component/attachments/download/55/","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1985629697","https://openalex.org/W2011359124","https://openalex.org/W2024427619","https://openalex.org/W2045512849","https://openalex.org/W2058078260","https://openalex.org/W2059861509","https://openalex.org/W2060204507","https://openalex.org/W2088449330","https://openalex.org/W2100549954","https://openalex.org/W2106005123","https://openalex.org/W2120289831","https://openalex.org/W2125874614","https://openalex.org/W2130320772","https://openalex.org/W2147631863","https://openalex.org/W2150414161","https://openalex.org/W2169978421","https://openalex.org/W2951085447","https://openalex.org/W2962834831","https://openalex.org/W4205293427","https://openalex.org/W4244923699","https://openalex.org/W6675164516","https://openalex.org/W6678459319"],"related_works":["https://openalex.org/W2805642416","https://openalex.org/W1968555221","https://openalex.org/W2618047800","https://openalex.org/W2044066624","https://openalex.org/W2068239066","https://openalex.org/W2375054321","https://openalex.org/W3048324229","https://openalex.org/W1966208803","https://openalex.org/W2310614892","https://openalex.org/W2151539067"],"abstract_inverted_index":{"In":[0,120],"this":[1],"paper,":[2],"we":[3],"work":[4],"on":[5,21,38],"the":[6,22,39,53,64,90,99,102,110,121,124,131],"problem":[7,20],"of":[8,14,52,71],"subspace":[9],"estimation":[10],"from":[11],"random":[12],"downsamplings":[13],"its":[15],"projection":[16,28,75],"matrix.":[17],"An":[18],"optimization":[19,48],"Grassmann":[23,40],"manifold":[24,41],"is":[25,43,85,105,114,127],"formulated":[26],"for":[27,68,117],"matrix":[29,76],"completion,":[30],"and":[31,59,109,138],"an":[32],"iterative":[33],"gradient":[34],"descend":[35],"line-search":[36],"algorithm":[37,55,104],"(GGDLS)":[42],"proposed":[44,54,103,125],"to":[45],"solve":[46],"such":[47],"problem.":[49],"The":[50],"convergence":[51],"has":[56],"theoretical":[57],"guarantee,":[58],"numerical":[60],"experiments":[61],"verify":[62],"that":[63],"required":[65,111],"sampling":[66,112],"number":[67,113],"successful":[69,118],"recovery":[70],"a":[72],"rank":[73],"s":[74],"in":[77,89,98],"\u211d":[78],"<sup":[79],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N\u00d7N</sup>":[81],"with":[82,94],"probability":[83],"1":[84],"2s(N":[86],"-":[87],"s)":[88],"noiseless":[91,100],"cases.":[92],"Compared":[93],"some":[95],"reference":[96],"algorithms,":[97],"scenario,":[101,123],"very":[106],"time":[107],"efficient,":[108],"rather":[115],"small":[116],"recovery.":[119],"noisy":[122],"GGDLS":[126],"remarkably":[128],"robust":[129],"against":[130],"noise":[132],"both":[133],"under":[134],"high":[135],"measurement":[136,140],"SNR":[137],"low":[139],"SNR.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
