{"id":"https://openalex.org/W4417508702","doi":"https://doi.org/10.1109/tpami.2025.3646452","title":"The CUR Decomposition of Self-Attention Matrices in Vision Transformers","display_name":"The CUR Decomposition of Self-Attention Matrices in Vision Transformers","publication_year":2025,"publication_date":"2025-12-19","ids":{"openalex":"https://openalex.org/W4417508702","doi":"https://doi.org/10.1109/tpami.2025.3646452","pmid":"https://pubmed.ncbi.nlm.nih.gov/41418007"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2025.3646452","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3646452","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5077932855","display_name":"Chong Wu","orcid":"https://orcid.org/0000-0003-3405-742X"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chong Wu","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR"],"raw_orcid":"https://orcid.org/0000-0003-3405-742X","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013911889","display_name":"Maolin Che","orcid":"https://orcid.org/0000-0001-9956-062X"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maolin Che","raw_affiliation_strings":["School of Mathematics and Statistics and State Key Laboratory of Public Big Data, Guizhou University, Guiyang, China"],"raw_orcid":"https://orcid.org/0000-0001-9956-062X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics and State Key Laboratory of Public Big Data, Guizhou University, Guiyang, China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100644375","display_name":"Hong Yan","orcid":"https://orcid.org/0000-0001-9661-3095"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hong Yan","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR"],"raw_orcid":"https://orcid.org/0000-0001-9661-3095","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7655,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78443726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"48","issue":"4","first_page":"4792","last_page":"4809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.39480000734329224,"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"}},"topics":[{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.39480000734329224,"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"}},{"id":"https://openalex.org/T14347","display_name":"Big Data and Digital Economy","score":0.23839999735355377,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.028300000354647636,"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/transformer","display_name":"Transformer","score":0.5051000118255615},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.426800012588501},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.3864000141620636},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.3822000026702881},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.38029998540878296},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.37450000643730164}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6466000080108643},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.5051000118255615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.489300012588501},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.3864000141620636},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.38029998540878296},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.37450000643730164},{"id":"https://openalex.org/C2776151529","wikidata":"https://www.wikidata.org/wiki/Q3045304","display_name":"Object detection","level":3,"score":0.3734999895095825},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3264999985694885},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.32100000977516174},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.31310001015663147},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28940001130104065},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2745000123977661},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2696000039577484},{"id":"https://openalex.org/C64876066","wikidata":"https://www.wikidata.org/wiki/Q5141226","display_name":"Cognitive neuroscience of visual object recognition","level":3,"score":0.25189998745918274}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tpami.2025.3646452","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3646452","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:41418007","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41418007","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4402820760","display_name":null,"funder_award_id":"12561095","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1861492603","https://openalex.org/W1967134148","https://openalex.org/W1968376936","https://openalex.org/W1969720662","https://openalex.org/W1998269045","https://openalex.org/W2078465266","https://openalex.org/W2117539524","https://openalex.org/W2126326770","https://openalex.org/W2141696759","https://openalex.org/W2272541835","https://openalex.org/W2737258237","https://openalex.org/W2805127664","https://openalex.org/W2884822772","https://openalex.org/W2946794439","https://openalex.org/W2963150697","https://openalex.org/W2964321615","https://openalex.org/W2972342261","https://openalex.org/W3035253074","https://openalex.org/W3138516171","https://openalex.org/W3173365702","https://openalex.org/W4221161778","https://openalex.org/W4283792669","https://openalex.org/W4283809036","https://openalex.org/W4283815155","https://openalex.org/W4312443924","https://openalex.org/W4313007769","https://openalex.org/W4320036893","https://openalex.org/W4385245566","https://openalex.org/W4386047745","https://openalex.org/W4386075553","https://openalex.org/W4390661931","https://openalex.org/W4390874070","https://openalex.org/W4390874124","https://openalex.org/W4392763775","https://openalex.org/W4412944812","https://openalex.org/W4415541028","https://openalex.org/W4415797154","https://openalex.org/W7133203389","https://openalex.org/W7133227460"],"related_works":[],"abstract_inverted_index":{"Transformers":[0],"have":[1],"achieved":[2],"great":[3],"success":[4],"in":[5,111],"natural":[6],"language":[7],"processing":[8],"and":[9,14,74,121,137],"computer":[10],"vision.":[11],"The":[12,23],"core":[13],"basic":[15],"technique":[16],"of":[17,38,62,92,98,109],"transformers":[18],"is":[19,82],"the":[20,39,63,78,85,90,96],"self-attention":[21,25,42,65,129],"mechanism.":[22],"vanilla":[24,64],"mechanism":[26,66],"has":[27],"quadratic":[28],"complexity,":[29],"which":[30],"limits":[31],"its":[32],"applications":[33],"to":[34,47,50,69,88,102],"vision":[35],"tasks.":[36],"Most":[37],"existing":[40],"linear":[41,60,105],"mechanisms":[43,130],"will":[44],"sacrifice":[45],"performance":[46,73],"some":[48],"extent":[49],"reduce":[51],"complexity.":[52,106],"In":[53],"this":[54],"paper,":[55],"we":[56],"propose":[57],"a":[58],"novel":[59],"approximation":[61],"named":[67],"CURSA":[68,81,110],"achieve":[70,103],"both":[71],"high":[72],"low":[75],"complexity":[76],"at":[77],"same":[79],"time.":[80],"based":[83],"on":[84],"CUR":[86],"decomposition":[87],"decompose":[89],"multiplication":[91,97],"large":[93],"matrices":[94,101],"into":[95],"several":[99],"small":[100],"almost":[104],"Experiment":[107],"results":[108],"image":[112],"classification":[113],"tasks,":[114,117,120],"semantic":[115],"segmentation":[116],"object":[118],"detection":[119],"long-range":[122],"arena":[123],"show":[124],"that":[125],"it":[126],"outperforms":[127],"state-of-the-art":[128],"with":[131],"better":[132],"data":[133],"efficiency,":[134],"faster":[135],"speed,":[136],"higher":[138],"accuracy.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-12-19T00:00:00"}
