{"id":"https://openalex.org/W2396012308","doi":"https://doi.org/10.1109/icassp.2016.7472444","title":"Beyond union of subspaces: Subspace pursuit on Grassmann manifold for data representation","display_name":"Beyond union of subspaces: Subspace pursuit on Grassmann manifold for data representation","publication_year":2016,"publication_date":"2016-03-01","ids":{"openalex":"https://openalex.org/W2396012308","doi":"https://doi.org/10.1109/icassp.2016.7472444","mag":"2396012308"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2016.7472444","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2016.7472444","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1438403","any_repository_has_fulltext":true},"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":true,"raw_author_name":"Xinyue Shen","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","Tsinghua Univ., Beijing (China). Tsinghua National Lab. for Information Science and Technology\nDept. of Electronic Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Tsinghua Univ., Beijing (China). Tsinghua National Lab. for Information Science and Technology\nDept. of Electronic Engineering","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030154118","display_name":"Hamid Krim","orcid":"https://orcid.org/0000-0003-4971-1690"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamid Krim","raw_affiliation_strings":["Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, U.S.A","North Carolina State Univ., Raleigh, NC (United States). Electrical and Computer Engineering Dept"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, U.S.A","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"North Carolina State Univ., Raleigh, NC (United States). Electrical and Computer Engineering Dept","institution_ids":[]}]},{"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","Tsinghua Univ., Beijing (China). Tsinghua National Lab. for Information Science and Technology Dept. of Electronic Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Tsinghua Univ., Beijing (China). Tsinghua National Lab. for Information Science and Technology Dept. of Electronic Engineering","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003439795"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.3115,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59951193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"98","issue":null,"first_page":"4079","last_page":"4083"},"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/linear-subspace","display_name":"Linear subspace","score":0.917170524597168},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7202606201171875},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.7124354243278503},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5485351085662842},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5483088493347168},{"id":"https://openalex.org/keywords/basis-pursuit","display_name":"Basis pursuit","score":0.5190787315368652},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5001544952392578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48154953122138977},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.43487516045570374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40834566950798035},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3953516483306885},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36301863193511963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3024675250053406},{"id":"https://openalex.org/keywords/matching-pursuit","display_name":"Matching pursuit","score":0.1716822385787964},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.1442362666130066},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10837686061859131},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10481071472167969},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07149037718772888}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.917170524597168},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7202606201171875},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.7124354243278503},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5485351085662842},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5483088493347168},{"id":"https://openalex.org/C99217422","wikidata":"https://www.wikidata.org/wiki/Q4867576","display_name":"Basis pursuit","level":4,"score":0.5190787315368652},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5001544952392578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48154953122138977},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43487516045570374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40834566950798035},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3953516483306885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36301863193511963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3024675250053406},{"id":"https://openalex.org/C156872377","wikidata":"https://www.wikidata.org/wiki/Q6786281","display_name":"Matching pursuit","level":3,"score":0.1716822385787964},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.1442362666130066},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10837686061859131},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10481071472167969},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07149037718772888},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2016.7472444","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2016.7472444","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:osti.gov:1438403","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1438403","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1438403","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1438403","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W228380312","https://openalex.org/W1484664627","https://openalex.org/W1525795381","https://openalex.org/W1804110266","https://openalex.org/W1919155910","https://openalex.org/W1986931325","https://openalex.org/W1991181922","https://openalex.org/W1997201895","https://openalex.org/W1999174140","https://openalex.org/W2003217181","https://openalex.org/W2024427619","https://openalex.org/W2042948547","https://openalex.org/W2058078260","https://openalex.org/W2085267075","https://openalex.org/W2129515657","https://openalex.org/W2129638195","https://openalex.org/W2145962650","https://openalex.org/W2151693816","https://openalex.org/W2158874661","https://openalex.org/W2163880391","https://openalex.org/W2164278908","https://openalex.org/W2293017529","https://openalex.org/W2296616510","https://openalex.org/W2962834831","https://openalex.org/W2963774180","https://openalex.org/W3098142930","https://openalex.org/W3099880660","https://openalex.org/W4205293427","https://openalex.org/W4244393449","https://openalex.org/W4250955649","https://openalex.org/W4292363360","https://openalex.org/W4394641257","https://openalex.org/W6640220554","https://openalex.org/W6785794572","https://openalex.org/W6864521007"],"related_works":["https://openalex.org/W1804640662","https://openalex.org/W2146523743","https://openalex.org/W2287336960","https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W4289378085","https://openalex.org/W2963346868","https://openalex.org/W4294291164","https://openalex.org/W3172436493","https://openalex.org/W1887135636"],"abstract_inverted_index":{"Discovering":[0],"the":[1,25,38,58,72,82,99,105,108,112,122,130,139],"underlying":[2],"structure":[3,60],"of":[4,40,43,61,70,86,144],"a":[5,14,41,52,62,67,77],"high-dimensional":[6],"signal":[7],"or":[8],"big":[9],"data":[10],"has":[11,18],"always":[12],"been":[13],"challenging":[15],"topic,":[16],"and":[17,49,65,115,141],"become":[19],"harder":[20],"to":[21,29,129,137],"tackle":[22],"especially":[23],"when":[24],"observations":[26],"are":[27],"exposed":[28],"arbitrary":[30],"sparse":[31,47],"perturbations.":[32],"In":[33],"this":[34],"paper,":[35],"built":[36],"on":[37,98],"model":[39],"union":[42],"subspaces":[44,73,140],"(UoS)":[45],"with":[46],"outliers":[48],"inspired":[50],"by":[51,75,95,111],"basis":[53],"pursuit":[54],"strategy,":[55],"we":[56],"exploit":[57],"fundamental":[59],"Grassmann":[63,100],"manifold,":[64,101],"propose":[66],"new":[68],"technique":[69],"pursuing":[71],"systematically":[74],"solving":[76],"non-convex":[78,96],"optimization":[79],"problem":[80,89],"using":[81],"alternating":[83],"direction":[84],"method":[85],"multipliers.":[87],"This":[88],"as":[90,102,104],"noted":[91],"is":[92,135],"further":[93],"complicated":[94],"constraints":[97],"well":[103],"bilinearity":[106],"in":[107,132],"penalty":[109],"caused":[110],"subspace":[113],"bases":[114],"coefficients.":[116],"Nevertheless,":[117],"numerical":[118],"experiments":[119],"verify":[120],"that":[121],"proposed":[123],"algorithm,":[124],"which":[125],"provides":[126],"elegant":[127],"solutions":[128],"sub-problems":[131],"each":[133,143],"step,":[134],"able":[136],"de-couple":[138],"pursue":[142],"them":[145],"under":[146],"time-efficient":[147],"parallel":[148],"computation.":[149]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}