{"id":"https://openalex.org/W1983017476","doi":"https://doi.org/10.1109/tit.2014.2359204","title":"Random Projections for Classification: A Recovery Approach","display_name":"Random Projections for Classification: A Recovery Approach","publication_year":2014,"publication_date":"2014-09-19","ids":{"openalex":"https://openalex.org/W1983017476","doi":"https://doi.org/10.1109/tit.2014.2359204","mag":"1983017476"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2359204","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2359204","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":["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/A5100448155","display_name":"Lijun Zhang","orcid":"https://orcid.org/0000-0002-5138-3182"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lijun Zhang","raw_affiliation_strings":["National Key Laboratory for Novel Software Technology, Nanjing University, Nanjing, China","[National Key Laboratory for Novel Software Technology Nanjing University, Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"National Key Laboratory for Novel Software Technology, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"[National Key Laboratory for Novel Software Technology Nanjing University, Nanjing, China]","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076083402","display_name":"Mehrdad Mahdavi","orcid":"https://orcid.org/0000-0003-2679-6679"},"institutions":[{"id":"https://openalex.org/I160992636","display_name":"Toyota Technological Institute at Chicago","ror":"https://ror.org/02sn5gb64","country_code":"US","type":"education","lineage":["https://openalex.org/I160992636"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehrdad Mahdavi","raw_affiliation_strings":["Toyota Technological Institute at Chicago, Chicago, IL, USA","Toyota Technological Institute at Chicago, Chicago, IL, USA ("],"affiliations":[{"raw_affiliation_string":"Toyota Technological Institute at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I160992636"]},{"raw_affiliation_string":"Toyota Technological Institute at Chicago, Chicago, IL, USA (","institution_ids":["https://openalex.org/I160992636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101873438","display_name":"Rong Jin","orcid":"https://orcid.org/0000-0003-3848-3071"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rong Jin","raw_affiliation_strings":["Department of Computer Science and Engineering, Michigan State University, East Lansing, MI, USA","Dept. of Comput. Sci. & Eng., Michigan State Univ., East Lansing, MI, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Dept. of Comput. Sci. & Eng., Michigan State Univ., East Lansing, MI, USA#TAB#","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023288846","display_name":"Tianbao Yang","orcid":"https://orcid.org/0000-0002-7858-5438"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianbao Yang","raw_affiliation_strings":["Department of Computer Science, University of Iowa, Iowa City, IA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Iowa, Iowa City, IA, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103861122","display_name":"Shenghuo Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095624","display_name":"Alibaba Group (United States)","ror":"https://ror.org/00rn0m335","country_code":"US","type":"company","lineage":["https://openalex.org/I4210095624","https://openalex.org/I45928872"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shenghuo Zhu","raw_affiliation_strings":["Alibaba Group, Seattle, WA, USA","[Alibaba Group, Seattle, WA, USA]"],"affiliations":[{"raw_affiliation_string":"Alibaba Group, Seattle, WA, USA","institution_ids":["https://openalex.org/I4210095624"]},{"raw_affiliation_string":"[Alibaba Group, Seattle, WA, USA]","institution_ids":["https://openalex.org/I4210095624"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100448155"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":2.5744,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.87803646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"60","issue":"11","first_page":"7300","last_page":"7316"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9993000030517578,"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/subspace-topology","display_name":"Subspace topology","score":0.722338080406189},{"id":"https://openalex.org/keywords/random-projection","display_name":"Random projection","score":0.6482549905776978},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5754507780075073},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5685982704162598},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5670024156570435},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5581682324409485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47213441133499146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43627065420150757},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2520486116409302}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.722338080406189},{"id":"https://openalex.org/C2777036070","wikidata":"https://www.wikidata.org/wiki/Q18393452","display_name":"Random projection","level":2,"score":0.6482549905776978},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5754507780075073},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5685982704162598},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5670024156570435},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5581682324409485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47213441133499146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43627065420150757},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2520486116409302}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2014.2359204","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2359204","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:CiteSeerX.psu:10.1.1.705.1234","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.705.1234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.nju.edu.cn/zlj/pdf/TIT-2014-Zhang.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2212552348","display_name":null,"funder_award_id":"IIS-1251031","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G495730736","display_name":null,"funder_award_id":"N000141210431","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6667581590","display_name":null,"funder_award_id":"61321491","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G880222665","display_name":null,"funder_award_id":"N000141410631","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W18289225","https://openalex.org/W108019484","https://openalex.org/W182881619","https://openalex.org/W1501884374","https://openalex.org/W1509803206","https://openalex.org/W1516726196","https://openalex.org/W1530699444","https://openalex.org/W1560153690","https://openalex.org/W1570963478","https://openalex.org/W1577871831","https://openalex.org/W1595554894","https://openalex.org/W1699650586","https://openalex.org/W1734908196","https://openalex.org/W1945899805","https://openalex.org/W2030161963","https://openalex.org/W2037757210","https://openalex.org/W2053075747","https://openalex.org/W2063368770","https://openalex.org/W2088658556","https://openalex.org/W2089497633","https://openalex.org/W2090898720","https://openalex.org/W2097665501","https://openalex.org/W2103164654","https://openalex.org/W2104624965","https://openalex.org/W2113651538","https://openalex.org/W2118123209","https://openalex.org/W2120872934","https://openalex.org/W2124541940","https://openalex.org/W2124659530","https://openalex.org/W2135508918","https://openalex.org/W2144796713","https://openalex.org/W2144902422","https://openalex.org/W2154682027","https://openalex.org/W2164013269","https://openalex.org/W2165888865","https://openalex.org/W2169446650","https://openalex.org/W2171671424","https://openalex.org/W2296319761","https://openalex.org/W2404385938","https://openalex.org/W2579923771","https://openalex.org/W2979473749","https://openalex.org/W2998216295","https://openalex.org/W3010434925","https://openalex.org/W3029645440","https://openalex.org/W3100743579","https://openalex.org/W4243828308","https://openalex.org/W4246050513","https://openalex.org/W4249560439","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4301014524","https://openalex.org/W4302591315","https://openalex.org/W6630142784","https://openalex.org/W6637582667","https://openalex.org/W6637781770","https://openalex.org/W6674684338","https://openalex.org/W6675686771","https://openalex.org/W6677106874","https://openalex.org/W6677959539","https://openalex.org/W6681302627","https://openalex.org/W6684180922","https://openalex.org/W6684229031","https://openalex.org/W6685191470","https://openalex.org/W6685623255","https://openalex.org/W6713649817","https://openalex.org/W6732517885","https://openalex.org/W6769341872","https://openalex.org/W7066667914"],"related_works":["https://openalex.org/W2089497633","https://openalex.org/W2349719765","https://openalex.org/W2951820531","https://openalex.org/W4299570446","https://openalex.org/W4300663657","https://openalex.org/W2951250958","https://openalex.org/W2039244422","https://openalex.org/W2245231753","https://openalex.org/W1501884374","https://openalex.org/W3135682524"],"abstract_inverted_index":{"Random":[0],"projection":[1],"has":[2],"been":[3],"widely":[4],"used":[5],"in":[6,17,24,40,44],"data":[7,12,129],"classification.":[8],"It":[9],"maps":[10],"high-dimensional":[11,63],"into":[13],"a":[14,76,108],"low-dimensional":[15,42,90],"subspace":[16],"order":[18],"to":[19,54,60,93,98,116,122,151],"reduce":[20],"the":[21,26,37,41,49,57,61,68,85,89,95,99,111,119,123,128,144,153],"computational":[22],"cost":[23],"solving":[25],"related":[27],"optimization":[28,64,91],"problem.":[29,101],"While":[30],"previous":[31],"studies":[32],"are":[33],"focused":[34],"on":[35,67],"analyzing":[36],"classification":[38],"performance":[39],"space,":[43],"this":[45],"paper,":[46],"we":[47],"consider":[48],"recovery":[50,154],"problem,":[51,125],"i.e.,":[52],"how":[53],"accurately":[55,117],"recover":[56,94,118],"optimal":[58,96,120,135],"solution":[59,69,87,97,121,136],"original":[62,100,124],"problem":[65,92],"based":[66],"learned":[70],"after":[71],"random":[72,81],"projection.":[73],"We":[74,140],"present":[75],"simple":[77],"algorithm,":[78],"termed":[79],"dual":[80,86],"projection,":[82],"which":[83],"uses":[84],"of":[88],"Our":[102],"theoretical":[103],"analysis":[104],"shows":[105],"that":[106,127,143],"with":[107],"high":[109],"probability,":[110],"proposed":[112,145],"algorithm":[113,146],"is":[114,131,137],"able":[115],"provided":[126],"matrix":[130],"(approximately)":[132,138],"low-rank":[133],"and/or":[134],"sparse.":[139],"further":[141],"show":[142],"can":[147],"be":[148],"applied":[149],"iteratively":[150],"reducing":[152],"error":[155],"exponentially.":[156]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}