{"id":"https://openalex.org/W4402288771","doi":"https://doi.org/10.23919/acc60939.2024.10644415","title":"Dimensionality Reduction of Dynamics on Lie Groups via Structure-Aware Canonical Correlation Analysis","display_name":"Dimensionality Reduction of Dynamics on Lie Groups via Structure-Aware Canonical Correlation Analysis","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4402288771","doi":"https://doi.org/10.23919/acc60939.2024.10644415"},"language":"en","primary_location":{"id":"doi:10.23919/acc60939.2024.10644415","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc60939.2024.10644415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","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/A5113441804","display_name":"WooYoung Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I141720752","display_name":"Davidson College","ror":"https://ror.org/02f7k4z58","country_code":"US","type":"education","lineage":["https://openalex.org/I141720752"]},{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wooyoung Chung","raw_affiliation_strings":["Charles W. Davidson College Of Engineering, San Jose State University,CA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Charles W. Davidson College Of Engineering, San Jose State University,CA,USA","institution_ids":["https://openalex.org/I51504820","https://openalex.org/I141720752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070558949","display_name":"Daniel Polani","orcid":"https://orcid.org/0000-0002-3233-5847"},"institutions":[{"id":"https://openalex.org/I141584323","display_name":"University of Hertfordshire","ror":"https://ror.org/0267vjk41","country_code":"GB","type":"education","lineage":["https://openalex.org/I141584323"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniel Polani","raw_affiliation_strings":["School of Physics, Engineering and Computer Science, University of Hertfordshire,UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics, Engineering and Computer Science, University of Hertfordshire,UK","institution_ids":["https://openalex.org/I141584323"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046771851","display_name":"Stas Tiomkin","orcid":"https://orcid.org/0000-0003-3677-6874"},"institutions":[{"id":"https://openalex.org/I141720752","display_name":"Davidson College","ror":"https://ror.org/02f7k4z58","country_code":"US","type":"education","lineage":["https://openalex.org/I141720752"]},{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stas Tiomkin","raw_affiliation_strings":["Charles W. Davidson College Of Engineering, San Jose State University,CA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Charles W. Davidson College Of Engineering, San Jose State University,CA,USA","institution_ids":["https://openalex.org/I51504820","https://openalex.org/I141720752"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3005,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64122875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"439","last_page":"446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.98580002784729,"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"}},"topics":[{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.98580002784729,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9836999773979187,"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9786999821662903,"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/canonical-correlation","display_name":"Canonical correlation","score":0.872901201248169},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.7660601139068604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5724347829818726},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5719097256660461},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.5458335280418396},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5094893574714661},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.46528926491737366},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4043411612510681},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3889872133731842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3045872151851654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16417694091796875},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07513627409934998}],"concepts":[{"id":"https://openalex.org/C153874254","wikidata":"https://www.wikidata.org/wiki/Q115542","display_name":"Canonical correlation","level":2,"score":0.872901201248169},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.7660601139068604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5724347829818726},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5719097256660461},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.5458335280418396},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5094893574714661},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.46528926491737366},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4043411612510681},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3889872133731842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3045872151851654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16417694091796875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07513627409934998},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc60939.2024.10644415","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc60939.2024.10644415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6768408121","display_name":"CRII: RI: Interpretable Framework and Transformative Applications for Viability in Autonomous Agents","funder_award_id":"2246221","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320325704","display_name":"PAZY Foundation","ror":null},{"id":"https://openalex.org/F4320333096","display_name":"College of Education, Arkansas Tech University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W65295071","https://openalex.org/W618254468","https://openalex.org/W1595765050","https://openalex.org/W1604808697","https://openalex.org/W2017587562","https://openalex.org/W2018655096","https://openalex.org/W2022469758","https://openalex.org/W2081503781","https://openalex.org/W2100235303","https://openalex.org/W2111411921","https://openalex.org/W2117533361","https://openalex.org/W2144903813","https://openalex.org/W2145860534","https://openalex.org/W2158782408","https://openalex.org/W2184630111","https://openalex.org/W2290711295","https://openalex.org/W2492870335","https://openalex.org/W2962914230","https://openalex.org/W3206691348","https://openalex.org/W4205510932","https://openalex.org/W4235721526","https://openalex.org/W4256690557","https://openalex.org/W4289145348","https://openalex.org/W6600771480","https://openalex.org/W6631216910","https://openalex.org/W6637108112","https://openalex.org/W6676831899","https://openalex.org/W6677621685","https://openalex.org/W6681437887","https://openalex.org/W6713704110","https://openalex.org/W6756279856"],"related_works":["https://openalex.org/W2367413540","https://openalex.org/W1995622179","https://openalex.org/W4391160746","https://openalex.org/W1484111231","https://openalex.org/W1552543208","https://openalex.org/W2074396517","https://openalex.org/W2166963679","https://openalex.org/W1968846550","https://openalex.org/W2187269125","https://openalex.org/W1641615907"],"abstract_inverted_index":{"Incorporating":[0],"prior":[1],"knowledge":[2],"into":[3],"a":[4,33,56,91,140],"data-driven":[5],"modeling":[6,41],"problem":[7],"can":[8],"drastically":[9,57],"improve":[10],"performance,":[11],"relia-bility,":[12],"and":[13,69,120],"generalization":[14,36],"outside":[15],"of":[16,37,63,74,94,97,117,139],"the":[17,22,25,48,71,110,115,125,137],"training":[18],"sample.":[19],"The":[20,61],"stronger":[21],"structural":[23],"properties,":[24],"more":[26],"effective":[27],"these":[28],"improvements":[29,127],"become.":[30],"Manifolds":[31],"are":[32],"powerful":[34],"nonlinear":[35],"Euclidean":[38,105],"space":[39],"for":[40],"finite":[42],"dimensions.":[43],"When":[44],"additionally":[45],"assuming":[46],"that":[47],"manifold":[49],"carries":[50],"(Lie)":[51],"group":[52],"structure,":[53],"this":[54,79],"imposes":[55],"stricter":[58],"global":[59],"constraint.":[60],"range":[62],"their":[64],"applications":[65],"is":[66],"very":[67],"wide":[68],"includes":[70],"important":[72],"case":[73],"robotic":[75,141],"tasks.":[76],"We":[77,107],"apply":[78],"idea":[80],"to":[81,99,113],"Canonical":[82],"Correlation":[83],"Analysis":[84],"(CCA).":[85],"In":[86],"traditional":[87],"CCA":[88,111],"one":[89],"constructs":[90],"hierarchical":[92],"sequence":[93],"maximal":[95],"correlations":[96],"up":[98],"two":[100],"paired":[101],"data":[102],"sets":[103],"in":[104,130,136],"spaces.":[106],"here":[108],"generalize":[109],"concept":[112],"respect":[114],"structure":[116],"Lie":[118],"groups":[119],"demonstrate":[121],"its":[122],"efficacy":[123],"through":[124],"substantial":[126],"it":[128],"achieves":[129],"making":[131],"structure-consistent":[132],"pre-dictions":[133],"about":[134],"changes":[135],"state":[138],"hand.":[142]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
