{"id":"https://openalex.org/W3172942912","doi":"https://doi.org/10.1145/3618296","title":"Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds","display_name":"Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds","publication_year":2023,"publication_date":"2023-09-02","ids":{"openalex":"https://openalex.org/W3172942912","doi":"https://doi.org/10.1145/3618296","mag":"3172942912"},"language":"en","primary_location":{"id":"doi:10.1145/3618296","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618296","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618296","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3618296","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043906636","display_name":"Seth D. Axen","orcid":"https://orcid.org/0000-0003-3933-8247"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Seth D. Axen","raw_affiliation_strings":["University of T\u00fcbingen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3933-8247","affiliations":[{"raw_affiliation_string":"University of T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089945085","display_name":"Mateusz Baran","orcid":"https://orcid.org/0000-0001-9667-5579"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I24881138","display_name":"Cracow University of Technology","ror":"https://ror.org/00pdej676","country_code":"PL","type":"education","lineage":["https://openalex.org/I24881138"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mateusz Baran","raw_affiliation_strings":["AGH University of Krakow, Poland and Cracow University of Technology, Poland"],"raw_orcid":"https://orcid.org/0000-0001-9667-5579","affiliations":[{"raw_affiliation_string":"AGH University of Krakow, Poland and Cracow University of Technology, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I686019","https://openalex.org/I24881138"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106698931","display_name":"Ronny Bergmann","orcid":"https://orcid.org/0000-0001-8342-7218"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Ronny Bergmann","raw_affiliation_strings":["Norwegian University of Science and Technology, Trondheim, Norway"],"raw_orcid":"https://orcid.org/0000-0001-8342-7218","affiliations":[{"raw_affiliation_string":"Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001157630","display_name":"Krzysztof Rzecki","orcid":"https://orcid.org/0000-0002-6834-2344"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I24881138","display_name":"Cracow University of Technology","ror":"https://ror.org/00pdej676","country_code":"PL","type":"education","lineage":["https://openalex.org/I24881138"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Rzecki","raw_affiliation_strings":["AGH University of Krakow, Poland and Cracow University of Technology, Poland"],"raw_orcid":"https://orcid.org/0000-0002-6834-2344","affiliations":[{"raw_affiliation_string":"AGH University of Krakow, Poland and Cracow University of Technology, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I686019","https://openalex.org/I24881138"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.5475,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.96788376,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"49","issue":"4","first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9908000230789185,"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"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9908000230789185,"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/T10535","display_name":"Landslides and related hazards","score":0.9520999789237976,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.951200008392334,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/python","display_name":"Python (programming language)","score":0.753968358039856},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.573284387588501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.546758234500885},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.531509280204773},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4142979681491852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3861088454723358},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3520188331604004},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34576404094696045},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3216512203216553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12160289287567139},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07857227325439453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07216399908065796}],"concepts":[{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.753968358039856},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.573284387588501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.546758234500885},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.531509280204773},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4142979681491852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3861088454723358},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3520188331604004},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34576404094696045},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3216512203216553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12160289287567139},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07857227325439453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07216399908065796},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3618296","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618296","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618296","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2106.08777","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.08777","pdf_url":"https://arxiv.org/pdf/2106.08777","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:ntnuopen.ntnu.no:11250/3115620","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/3115620","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"49","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1145/3618296","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3618296","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3618296","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1165876211","display_name":null,"funder_award_id":"POIR.04.04.00-00-15E5/18","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G233922387","display_name":null,"funder_award_id":"EXC number 2064/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4376012182","display_name":null,"funder_award_id":"POIR.04.04.00-00-15E5/18","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G4939153539","display_name":"Graduate Research Fellowship Program (GRFP)","funder_award_id":"1650113","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G571813587","display_name":null,"funder_award_id":"POIR.04.04.00-00-15E5/18","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G7907426250","display_name":"EXC 2064: Maschinelles Lernen: Neue Perspektiven f\u00fcr die Wissenschaft","funder_award_id":"390727645","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8915364236","display_name":null,"funder_award_id":"2064/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3172942912.pdf","grobid_xml":"https://content.openalex.org/works/W3172942912.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1487446337","https://openalex.org/W1503893179","https://openalex.org/W1557324374","https://openalex.org/W1774823841","https://openalex.org/W1804110266","https://openalex.org/W1987422162","https://openalex.org/W2034570192","https://openalex.org/W2052135370","https://openalex.org/W2059640215","https://openalex.org/W2109409043","https://openalex.org/W2112759033","https://openalex.org/W2120575449","https://openalex.org/W2122093596","https://openalex.org/W2125949583","https://openalex.org/W2128513227","https://openalex.org/W2149338181","https://openalex.org/W2165168736","https://openalex.org/W2167623372","https://openalex.org/W2171175445","https://openalex.org/W2279699992","https://openalex.org/W2346678144","https://openalex.org/W2482837509","https://openalex.org/W2512193713","https://openalex.org/W2604738573","https://openalex.org/W2660898840","https://openalex.org/W2753689040","https://openalex.org/W2756161774","https://openalex.org/W2804935370","https://openalex.org/W2883777747","https://openalex.org/W2883862180","https://openalex.org/W2886739333","https://openalex.org/W2890410771","https://openalex.org/W2895192719","https://openalex.org/W2896405912","https://openalex.org/W2946866865","https://openalex.org/W2964029293","https://openalex.org/W2964068697","https://openalex.org/W2964248225","https://openalex.org/W3006080578","https://openalex.org/W3023439819","https://openalex.org/W3098092707","https://openalex.org/W3098206065","https://openalex.org/W3099009468","https://openalex.org/W3104074850","https://openalex.org/W3153530325","https://openalex.org/W4205293427","https://openalex.org/W4206033904","https://openalex.org/W4211065906","https://openalex.org/W4323539420","https://openalex.org/W6684641359"],"related_works":["https://openalex.org/W2341492732","https://openalex.org/W3187193180","https://openalex.org/W106542691","https://openalex.org/W4287027380","https://openalex.org/W1699080303","https://openalex.org/W4297799326","https://openalex.org/W3116064965","https://openalex.org/W3193760048","https://openalex.org/W4285822516","https://openalex.org/W4226047925"],"abstract_inverted_index":{"We":[0,48,67],"present":[1],"the":[2,32,34,43,69,106,118],"Julia":[3],"package":[4,20],"Manifolds.jl":[5,72,91],",":[6,56],"providing":[7],"a":[8,27,50,89],"fast":[9],"and":[10,16,62,81,103],"easy-to-use":[11],"library":[12],"of":[13,42,71,112],"Riemannian":[14,28],"manifolds":[15,98],"Lie":[17],"groups.":[18],"This":[19],"enables":[21],"working":[22],"with":[23,57],"data":[24],"defined":[25],"on":[26,79,85],"manifold,":[29],"such":[30],"as":[31],"circle,":[33],"sphere,":[35],"symmetric":[36],"positive":[37],"definite":[38],"matrices,":[39],"or":[40],"one":[41],"models":[44],"for":[45,96,130,136],"hyperbolic":[46],"spaces.":[47],"introduce":[49],"common":[51],"interface,":[52],"available":[53],"in":[54,99],"ManifoldsBase.jl":[55],"which":[58,132],"new":[59],"manifolds,":[60,80,124],"applications,":[61],"algorithms":[63],"can":[64],"be":[65],"implemented.":[66],"demonstrate":[68],"utility":[70],"using":[73],"B\u00e9zier":[74],"splines,":[75],"an":[76],"optimization":[77],"task":[78],"principal":[82],"component":[83],"analysis":[84],"nonlinear":[86],"data.":[87],"In":[88],"benchmark,":[90],"outperforms":[92,126],"all":[93,127],"comparable":[94],"packages":[95,128],"low-dimensional":[97],"speed;":[100],"over":[101,115],"Python":[102],"Matlab":[104],"packages,":[105,117],"improvement":[107,119],"is":[108,120,133],"often":[109],"several":[110],"orders":[111],"magnitude,":[113],"while":[114],"C/C++":[116],"two-fold.":[121],"For":[122],"high-dimensional":[123,137],"it":[125],"except":[129],"Tensorflow-Riemopt,":[131],"specifically":[134],"tailored":[135],"manifolds.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2026-07-05T07:55:05.734416","created_date":"2025-10-10T00:00:00"}
