{"id":"https://openalex.org/W2103950410","doi":"https://doi.org/10.1109/tsp.2011.2123891","title":"Linear Dimensionality Reduction for Margin-Based Classification: High-Dimensional Data and Sensor Networks","display_name":"Linear Dimensionality Reduction for Margin-Based Classification: High-Dimensional Data and Sensor Networks","publication_year":2011,"publication_date":"2011-04-21","ids":{"openalex":"https://openalex.org/W2103950410","doi":"https://doi.org/10.1109/tsp.2011.2123891","mag":"2103950410"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2123891","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2123891","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/81207","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015286159","display_name":"Kush R. Varshney","orcid":"https://orcid.org/0000-0002-7376-5536"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kush R. Varshney","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","Labs. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Labs. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107833743","display_name":"Alan S. Willsky","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alan S. Willsky","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","Labs. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Labs. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015286159"],"corresponding_institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":5.4813,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.95910864,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"6","first_page":"2496","last_page":"2512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9972000122070312,"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/T10320","display_name":"Neural Networks and Applications","score":0.9914000034332275,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/overfitting","display_name":"Overfitting","score":0.8927980661392212},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.8265979290008545},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.6425413489341736},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.6003670692443848},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.5997019410133362},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.5603945851325989},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.546509861946106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5405586957931519},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4821138381958008},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.4425906240940094},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.42084386944770813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3712717592716217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34940004348754883},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.20075181126594543}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.8927980661392212},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.8265979290008545},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6425413489341736},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.6003670692443848},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.5997019410133362},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.5603945851325989},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.546509861946106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5405586957931519},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4821138381958008},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.4425906240940094},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.42084386944770813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3712717592716217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34940004348754883},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.20075181126594543},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2011.2123891","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2123891","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.300.1080","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.300.1080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ssg.mit.edu/~willsky/publ_pdfs/211_pub_IEEE.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/81207","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/81207","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Willsky via Amy Stout","raw_type":"http://purl.org/eprint/type/JournalArticle"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/81207","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/81207","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Willsky via Amy Stout","raw_type":"http://purl.org/eprint/type/JournalArticle"},"sustainable_development_goals":[{"score":0.75,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":90,"referenced_works":["https://openalex.org/W183078661","https://openalex.org/W1460189015","https://openalex.org/W1500551892","https://openalex.org/W1501592457","https://openalex.org/W1525038591","https://openalex.org/W1543495496","https://openalex.org/W1574877972","https://openalex.org/W1624804034","https://openalex.org/W1982032418","https://openalex.org/W1986431723","https://openalex.org/W1996479278","https://openalex.org/W2003239136","https://openalex.org/W2003801825","https://openalex.org/W2016852016","https://openalex.org/W2022318017","https://openalex.org/W2022465039","https://openalex.org/W2025290352","https://openalex.org/W2029115180","https://openalex.org/W2032995824","https://openalex.org/W2041633391","https://openalex.org/W2045512849","https://openalex.org/W2055596845","https://openalex.org/W2055944338","https://openalex.org/W2056963858","https://openalex.org/W2061177108","https://openalex.org/W2066340877","https://openalex.org/W2072460512","https://openalex.org/W2073663354","https://openalex.org/W2076978869","https://openalex.org/W2078491286","https://openalex.org/W2082571492","https://openalex.org/W2082855665","https://openalex.org/W2087258353","https://openalex.org/W2089105767","https://openalex.org/W2098062695","https://openalex.org/W2102929596","https://openalex.org/W2103227205","https://openalex.org/W2103266366","https://openalex.org/W2107568926","https://openalex.org/W2109445534","https://openalex.org/W2110080060","https://openalex.org/W2111101775","https://openalex.org/W2115729631","https://openalex.org/W2115899769","https://openalex.org/W2116402545","https://openalex.org/W2116801843","https://openalex.org/W2119451546","https://openalex.org/W2120166106","https://openalex.org/W2122683976","https://openalex.org/W2124367109","https://openalex.org/W2133380705","https://openalex.org/W2134262590","https://openalex.org/W2138245406","https://openalex.org/W2139421285","https://openalex.org/W2141669543","https://openalex.org/W2144052787","https://openalex.org/W2144405862","https://openalex.org/W2144451942","https://openalex.org/W2146047955","https://openalex.org/W2153023098","https://openalex.org/W2156529323","https://openalex.org/W2156909104","https://openalex.org/W2157801062","https://openalex.org/W2159611475","https://openalex.org/W2159961414","https://openalex.org/W2163254690","https://openalex.org/W2163490846","https://openalex.org/W2164996087","https://openalex.org/W2167655509","https://openalex.org/W2226451166","https://openalex.org/W2579923771","https://openalex.org/W2595697910","https://openalex.org/W2597289420","https://openalex.org/W2616354903","https://openalex.org/W2990138404","https://openalex.org/W3027187636","https://openalex.org/W3098474648","https://openalex.org/W3103913399","https://openalex.org/W3105973667","https://openalex.org/W3107323053","https://openalex.org/W3120740533","https://openalex.org/W4235239134","https://openalex.org/W4239022279","https://openalex.org/W4241872460","https://openalex.org/W6607294040","https://openalex.org/W6633346352","https://openalex.org/W6634385464","https://openalex.org/W6677267524","https://openalex.org/W6682834636","https://openalex.org/W6732517885"],"related_works":["https://openalex.org/W3211783303","https://openalex.org/W2375574759","https://openalex.org/W2383239174","https://openalex.org/W3088634662","https://openalex.org/W117517268","https://openalex.org/W3162910294","https://openalex.org/W1995622179","https://openalex.org/W2539700568","https://openalex.org/W2931531042","https://openalex.org/W2166963679"],"abstract_inverted_index":{"Low-dimensional":[0],"statistics":[1,26],"of":[2,27,47,60,180,191],"measurements":[3,49],"play":[4],"an":[5],"important":[6],"role":[7],"in":[8,14,36,40,194],"detection":[9],"problems,":[10],"including":[11,182],"those":[12,183],"encountered":[13],"sensor":[15,116,138,186],"networks.":[16],"In":[17,136],"this":[18,63],"work,":[19],"we":[20],"focus":[21],"on":[22,86],"learning":[23,131],"low-dimensional":[24,38],"linear":[25,74],"high-dimensional":[28],"measurement":[29],"data":[30],"along":[31],"with":[32,118,196],"decision":[33,160],"rules":[34],"defined":[35],"the":[37,41,44,48,87,94,102,137,189],"space":[39,158],"case":[42],"when":[43,130],"probability":[45],"density":[46],"and":[50,77,80,159,167],"class":[51],"labels":[52],"is":[53,65,97,162,171],"not":[54,98,143],"given,":[55],"but":[56,147],"a":[57,69,82,119,178],"training":[58,134],"set":[59],"samples":[61],"from":[62,132,184],"distribution":[64],"given.":[66],"We":[67],"pose":[68],"joint":[70],"optimization":[71],"problem":[72],"for":[73,90,115,177],"dimensionality":[75,126,141,198],"reduction":[76,127,142,199],"margin-based":[78],"classification,":[79],"develop":[81],"coordinate":[83,95],"descent":[84,96],"algorithm":[85],"Stiefel":[88],"manifold":[89],"its":[91,107,168],"solution.":[92],"Although":[93],"guaranteed":[99],"to":[100,112,153,164],"find":[101],"globally":[103],"optimal":[104],"solution,":[105],"crucially,":[106],"alternating":[108],"structure":[109],"enables":[110],"us":[111],"extend":[113],"it":[114],"networks":[117],"message-passing":[120],"approach":[121],"requiring":[122],"little":[123],"communication.":[124,154],"Linear":[125],"prevents":[128,145],"overfitting":[129],"finite":[133],"data.":[135],"network":[139],"setting,":[140],"only":[144],"overfitting,":[146],"also":[148],"reduces":[149],"power":[150],"consumption":[151],"due":[152],"The":[155],"learned":[156],"reduced-dimensional":[157],"rule":[161],"shown":[163],"be":[165],"consistent":[166],"Rademacher":[169],"complexity":[170],"characterized.":[172],"Experimental":[173],"results":[174],"are":[175],"presented":[176],"variety":[179],"datasets,":[181],"existing":[185],"networks,":[187],"demonstrating":[188],"potential":[190],"our":[192],"methodology":[193],"comparison":[195],"other":[197],"approaches.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}