{"id":"https://openalex.org/W2184161545","doi":"https://doi.org/10.1109/dsaa.2015.7344815","title":"Information preserving and locally isometric&conformal embedding via Tangent Manifold Learning","display_name":"Information preserving and locally isometric&conformal embedding via Tangent Manifold Learning","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2184161545","doi":"https://doi.org/10.1109/dsaa.2015.7344815","mag":"2184161545"},"language":"en","primary_location":{"id":"doi:10.1109/dsaa.2015.7344815","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsaa.2015.7344815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Data Science and Advanced Analytics (DSAA)","raw_type":"proceedings-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/A5058522879","display_name":"Alexander Bernstein","orcid":"https://orcid.org/0000-0002-5250-1849"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Bernstein","raw_affiliation_strings":["Kharkevich Institute for Information Transmission Problems RAS, Moscow, Russia","National Research University Higher School of Economics, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kharkevich Institute for Information Transmission Problems RAS, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090566570","display_name":"Alexander Kuleshov","orcid":"https://orcid.org/0000-0001-9736-2929"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Kuleshov","raw_affiliation_strings":["Kharkevich Institute for Information Transmission Problems RAS, Moscow, Russia","National Research University Higher School of Economics, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kharkevich Institute for Information Transmission Problems RAS, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020656981","display_name":"Yury Yanovich","orcid":"https://orcid.org/0000-0003-4651-7585"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yury Yanovich","raw_affiliation_strings":["Kharkevich Institute for Information Transmission Problems RAS, Moscow, Russia","National Research University Higher School of Economics, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kharkevich Institute for Information Transmission Problems RAS, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7489,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7972698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9896000027656555,"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/T10057","display_name":"Face and Expression Recognition","score":0.9896000027656555,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.7544159889221191},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.7520406246185303},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6535031795501709},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6468857526779175},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6014173030853271},{"id":"https://openalex.org/keywords/manifold-alignment","display_name":"Manifold alignment","score":0.56688392162323},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.5367892980575562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5051806569099426},{"id":"https://openalex.org/keywords/closed-manifold","display_name":"Closed manifold","score":0.4819302558898926},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.4350661635398865},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42129045724868774},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.41302669048309326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4016266167163849},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3451630473136902},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.3388945758342743},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.2892095446586609},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22260606288909912},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16719743609428406},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12337198853492737}],"concepts":[{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.7544159889221191},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.7520406246185303},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6535031795501709},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6468857526779175},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6014173030853271},{"id":"https://openalex.org/C153120616","wikidata":"https://www.wikidata.org/wiki/Q17068315","display_name":"Manifold alignment","level":4,"score":0.56688392162323},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5367892980575562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5051806569099426},{"id":"https://openalex.org/C74349738","wikidata":"https://www.wikidata.org/wiki/Q1517914","display_name":"Closed manifold","level":3,"score":0.4819302558898926},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.4350661635398865},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42129045724868774},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.41302669048309326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4016266167163849},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3451630473136902},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.3388945758342743},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.2892095446586609},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22260606288909912},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16719743609428406},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12337198853492737},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/dsaa.2015.7344815","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsaa.2015.7344815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Data Science and Advanced Analytics (DSAA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":84,"referenced_works":["https://openalex.org/W4474366","https://openalex.org/W22980943","https://openalex.org/W59610401","https://openalex.org/W59975075","https://openalex.org/W70452321","https://openalex.org/W131676301","https://openalex.org/W223156261","https://openalex.org/W434012021","https://openalex.org/W1496376968","https://openalex.org/W1552347772","https://openalex.org/W1556302828","https://openalex.org/W1568794265","https://openalex.org/W1571975558","https://openalex.org/W1578196132","https://openalex.org/W1580601131","https://openalex.org/W1595132914","https://openalex.org/W1651008648","https://openalex.org/W1720771030","https://openalex.org/W1980222952","https://openalex.org/W1986445760","https://openalex.org/W1994154911","https://openalex.org/W1996908140","https://openalex.org/W1997780235","https://openalex.org/W2001141328","https://openalex.org/W2025064394","https://openalex.org/W2032986522","https://openalex.org/W2035983439","https://openalex.org/W2035990705","https://openalex.org/W2041785029","https://openalex.org/W2053186076","https://openalex.org/W2077776048","https://openalex.org/W2090679187","https://openalex.org/W2096022469","https://openalex.org/W2097308346","https://openalex.org/W2103428420","https://openalex.org/W2107465589","https://openalex.org/W2109025268","https://openalex.org/W2112148214","https://openalex.org/W2116931174","https://openalex.org/W2117138194","https://openalex.org/W2124728898","https://openalex.org/W2125003829","https://openalex.org/W2126017757","https://openalex.org/W2140095548","https://openalex.org/W2142224317","https://openalex.org/W2146980616","https://openalex.org/W2148043509","https://openalex.org/W2153072115","https://openalex.org/W2156287497","https://openalex.org/W2156838815","https://openalex.org/W2158867000","https://openalex.org/W2163922914","https://openalex.org/W2166093887","https://openalex.org/W2167769608","https://openalex.org/W2170237252","https://openalex.org/W2171309505","https://openalex.org/W2500307206","https://openalex.org/W2574213075","https://openalex.org/W2660674426","https://openalex.org/W2952111767","https://openalex.org/W2962812438","https://openalex.org/W2962914462","https://openalex.org/W2962936676","https://openalex.org/W3013880646","https://openalex.org/W3038588914","https://openalex.org/W4238571072","https://openalex.org/W4241492945","https://openalex.org/W4285719527","https://openalex.org/W6600925180","https://openalex.org/W6602379000","https://openalex.org/W6629383673","https://openalex.org/W6633264939","https://openalex.org/W6636889064","https://openalex.org/W6638709854","https://openalex.org/W6676938131","https://openalex.org/W6677188175","https://openalex.org/W6677833576","https://openalex.org/W6682813307","https://openalex.org/W6683355650","https://openalex.org/W6683994600","https://openalex.org/W6684805783","https://openalex.org/W6775374427","https://openalex.org/W7034449035","https://openalex.org/W7045329624"],"related_works":["https://openalex.org/W2361271799","https://openalex.org/W2725688239","https://openalex.org/W2387045723","https://openalex.org/W1980222952","https://openalex.org/W2109038256","https://openalex.org/W2133532973","https://openalex.org/W2424268508","https://openalex.org/W2518582013","https://openalex.org/W3105181006","https://openalex.org/W1512161476"],"abstract_inverted_index":{"In":[0,15,164],"many":[1],"Data":[2,162,191],"Analysis":[3],"tasks,":[4],"one":[5],"deals":[6],"with":[7,172],"data":[8,19,29,51,65],"that":[9],"are":[10,20],"presented":[11],"in":[12,47,79,86,102,108,153,177],"high-dimensional":[13,18,50,64,82],"spaces.":[14],"practice":[16],"original":[17,49],"transformed":[21],"into":[22],"lower-dimensional":[23],"representations":[24],"(features)":[25],"preserving":[26],"certain":[27,72,109],"subject-driven":[28],"properties":[30,184],"such":[31],"as":[32,40,42,185,187],"distances":[33,128],"or":[34,69],"geodesic":[35],"distances,":[36],"angles,":[37],"etc.":[38],"Preserving":[39],"much":[41],"possible":[43,107],"available":[44],"information":[45],"contained":[46],"the":[48,60,116,160,167,195],"is":[52,106],"also":[53],"an":[54,80],"important":[55],"and":[56,123,129,142,181],"desirable":[57],"property":[58],"of":[59,118,156,179,188,190],"representation.":[61],"The":[62],"real-world":[63],"typically":[66],"lie":[67],"on":[68],"near":[70],"a":[71,103,120,136],"unknown":[73,161],"low-dimensional":[74,104],"manifold":[75,100,192],"(Data":[76],"manifold)":[77],"embedded":[78],"ambient":[81],"`observation'":[83],"space,":[84],"so":[85,113],"this":[87,91],"article":[88],"we":[89,114],"assume":[90],"Manifold":[92,149,174],"assumption":[93],"to":[94,159],"be":[95],"fulfilled.":[96],"An":[97],"exact":[98],"isometric":[99,122,141,180],"embedding":[101,183],"space":[105],"special":[110],"cases":[111],"only,":[112],"consider":[115],"problem":[117],"constructing":[119],"`locally":[121],"conformal'":[124],"embedding,":[125],"which":[126,146],"preserves":[127],"angles":[130],"between":[131],"close":[132],"points.":[133],"We":[134],"propose":[135],"new":[137],"geometrically":[138],"motivated":[139],"locally":[140],"conformal":[143,182],"representation":[144],"method,":[145],"employs":[147],"Tangent":[148],"Learning":[150,175],"technique":[151],"consisting":[152],"sample-based":[154],"estimation":[155],"tangent":[157],"spaces":[158],"manifold.":[163],"numerical":[165],"experiments,":[166],"proposed":[168],"method":[169],"compares":[170],"favourably":[171],"popular":[173],"methods":[176],"terms":[178],"well":[186],"accuracy":[189],"reconstruction":[193],"from":[194],"sample.":[196]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}