{"id":"https://openalex.org/W1993056240","doi":"https://doi.org/10.1109/globalsip.2014.7032159","title":"Geometrie manifold approximation using union of tangent patches","display_name":"Geometrie manifold approximation using union of tangent patches","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1993056240","doi":"https://doi.org/10.1109/globalsip.2014.7032159","mag":"1993056240"},"language":"en","primary_location":{"id":"doi:10.1109/globalsip.2014.7032159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/globalsip.2014.7032159","pdf_url":null,"source":{"id":"https://openalex.org/S4306418625","display_name":"IEEE Global Conference on Signal and Information Processing","issn_l":"2376-4066","issn":["2376-4066"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5014098711","display_name":"Talal Ahmed","orcid":"https://orcid.org/0000-0002-5383-5349","observed_orcids":["https://orcid.org/0000-0002-5383-5349"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Talal Ahmed","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ","Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, 08854"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, 08854","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028718006","display_name":"Waheed U. Bajwa","orcid":"https://orcid.org/0000-0003-4406-5263","observed_orcids":["https://orcid.org/0000-0003-4406-5263"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Waheed U. Bajwa","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ","Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, 08854"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, 08854","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.1757,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41290114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"458","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.35179999470710754,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.35179999470710754,"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/T10057","display_name":"Face and Expression Recognition","score":0.28760001063346863,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.05090000107884407,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/manifold-approximation","display_name":"manifold approximation","score":0.8709999918937683},{"id":"https://openalex.org/keywords/submanifold-geometry","display_name":"submanifold geometry","score":0.6470000147819519},{"id":"https://openalex.org/keywords/local-linearity","display_name":"local linearity","score":0.6150000095367432},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"convex optimization","score":0.7300000190734863},{"id":"https://openalex.org/keywords/data-projection","display_name":"data projection","score":0.5609999895095825},{"id":"https://openalex.org/keywords/nonlinear-manifolds","display_name":"nonlinear manifolds","score":0.8629999756813049}],"concepts":[{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.815665066242218},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.7431697845458984},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.635248064994812},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.6289136409759521},{"id":"https://openalex.org/C12773090","wikidata":"https://www.wikidata.org/wiki/Q3888851","display_name":"Ambient space","level":2,"score":0.6185309290885925},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.6165634393692017},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5530505776405334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5157938003540039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4544518291950226},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4404011070728302},{"id":"https://openalex.org/C149944404","wikidata":"https://www.wikidata.org/wiki/Q2392464","display_name":"Tangent cone","level":3,"score":0.4367179870605469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42408841848373413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4238150119781494},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4191082715988159},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39190810918807983},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3376956582069397},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24965691566467285},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23371732234954834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20269522070884705},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.17826944589614868},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07275447249412537},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/globalsip.2014.7032159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/globalsip.2014.7032159","pdf_url":null,"source":{"id":"https://openalex.org/S4306418625","display_name":"IEEE Global Conference on Signal and Information Processing","issn_l":"2376-4066","issn":["2376-4066"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP)","raw_type":"proceedings-article"},{"id":"pmh:oai:alma.01RUT_INST:11664993640004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/conferenceProceeding/Geometrie-manifold-approximation-using-union-of/991031665490504646","pdf_url":null,"source":{"id":"https://openalex.org/S4306401388","display_name":"Rutgers University Community Repository (Rutgers University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I102322142","host_organization_name":"Rutgers, The State University of New Jersey","host_organization_lineage":["https://openalex.org/I102322142"],"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":"Conference Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1536329667","https://openalex.org/W1946620893","https://openalex.org/W1964529687","https://openalex.org/W1976415540","https://openalex.org/W2001141328","https://openalex.org/W2004744336","https://openalex.org/W2005876975","https://openalex.org/W2009234819","https://openalex.org/W2033511209","https://openalex.org/W2053186076","https://openalex.org/W2061375390","https://openalex.org/W2077776048","https://openalex.org/W2081821809","https://openalex.org/W2097340099","https://openalex.org/W2127905518","https://openalex.org/W2128659236","https://openalex.org/W2137570937","https://openalex.org/W2142940228","https://openalex.org/W2160547390","https://openalex.org/W2181874083","https://openalex.org/W2294644361","https://openalex.org/W2964012263","https://openalex.org/W3100720754","https://openalex.org/W4250657332","https://openalex.org/W7009197669"],"related_works":["https://openalex.org/W2262324382","https://openalex.org/W2020468792","https://openalex.org/W1970658974","https://openalex.org/W2118957867","https://openalex.org/W3104630249","https://openalex.org/W3049101726","https://openalex.org/W1580601131","https://openalex.org/W2183615287","https://openalex.org/W4286962114","https://openalex.org/W3105656723"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,9,27,31,47,56,87,94,98,104,109],"problem":[4,48],"of":[5,8,12,17,30,39,49,62,86,96,100,108,124],"data-adaptive":[6],"learning":[7],"ambient":[10],"geometry":[11,99],"a":[13,18,37,51,60,69,77],"nonlinear,":[14],"non-intersecting":[15],"submanifold":[16],"Euclidean":[19],"space.":[20],"It":[21,66],"accomplishes":[22],"this":[23],"goal":[24],"by":[25,102],"exploiting":[26],"local":[28],"linearity":[29],"(sub)manifold":[32],"and":[33,115],"approximating":[34],"it":[35,45,92],"using":[36],"union":[38],"tangent":[40],"patches":[41],"(UoTP).":[42],"In":[43],"addition,":[44],"translates":[46],"projecting":[50],"new":[52],"data":[53,74,117],"point":[54],"onto":[55,76],"learned":[57],"UoTP":[58,78],"into":[59],"series":[61],"convex":[63],"optimization":[64,89],"problems.":[65,90],"then":[67],"derives":[68],"procedure":[70],"for":[71],"encoding":[72],"(projecting)":[73],"points":[75],"that":[79,123],"involves":[80],"an":[81],"efficient":[82],"solution":[83],"to":[84],"each":[85],"posed":[88],"Finally,":[91],"demonstrates":[93],"value":[95],"capturing":[97],"manifolds":[101,121],"comparing":[103],"superior":[105],"denoising":[106,126],"performance":[107],"proposed":[110],"framework":[111],"on":[112],"both":[113],"synthetic":[114],"real":[116],"sampled":[118],"from":[119],"nonlinear":[120],"with":[122],"stat-of-the-art":[125],"algorithms.":[127]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-06T10:28:23.643775","created_date":"2025-10-10T00:00:00"}
