{"id":"https://openalex.org/W4391661534","doi":"https://doi.org/10.1109/tnnls.2024.3355492","title":"Self-Supervised Lie Algebra Representation Learning via Optimal Canonical Metric","display_name":"Self-Supervised Lie Algebra Representation Learning via Optimal Canonical Metric","publication_year":2024,"publication_date":"2024-02-08","ids":{"openalex":"https://openalex.org/W4391661534","doi":"https://doi.org/10.1109/tnnls.2024.3355492","pmid":"https://pubmed.ncbi.nlm.nih.gov/38329862"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3355492","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3355492","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10072/429174","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070802592","display_name":"Xiaohan Yu","orcid":"https://orcid.org/0000-0001-6186-0520"},"institutions":[{"id":"https://openalex.org/I11701301","display_name":"Griffith University","ror":"https://ror.org/02sc3r913","country_code":"AU","type":"education","lineage":["https://openalex.org/I11701301"]},{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Xiaohan Yu","raw_affiliation_strings":["School of Computing, Macquarie University, Macquarie Park, NSW, Australia","Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, QLD, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing, Macquarie University, Macquarie Park, NSW, Australia","institution_ids":["https://openalex.org/I99043593"]},{"raw_affiliation_string":"Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, QLD, Australia","institution_ids":["https://openalex.org/I11701301"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041642323","display_name":"Zicheng Pan","orcid":"https://orcid.org/0000-0001-5890-0165"},"institutions":[{"id":"https://openalex.org/I11701301","display_name":"Griffith University","ror":"https://ror.org/02sc3r913","country_code":"AU","type":"education","lineage":["https://openalex.org/I11701301"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Zicheng Pan","raw_affiliation_strings":["Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, QLD, Australia"],"affiliations":[{"raw_affiliation_string":"Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, QLD, Australia","institution_ids":["https://openalex.org/I11701301"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056718303","display_name":"Yang Zhao","orcid":"https://orcid.org/0000-0001-5252-658X"},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"education","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yang Zhao","raw_affiliation_strings":["Department of Computer Science and Information Technology, La Trobe University, Bundoora, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Technology, La Trobe University, Bundoora, VIC, Australia","institution_ids":["https://openalex.org/I196829312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071549690","display_name":"Yongsheng Gao","orcid":"https://orcid.org/0000-0002-5382-5351"},"institutions":[{"id":"https://openalex.org/I11701301","display_name":"Griffith University","ror":"https://ror.org/02sc3r913","country_code":"AU","type":"education","lineage":["https://openalex.org/I11701301"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yongsheng Gao","raw_affiliation_strings":["Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, QLD, Australia"],"affiliations":[{"raw_affiliation_string":"Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, QLD, Australia","institution_ids":["https://openalex.org/I11701301"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070802592"],"corresponding_institution_ids":["https://openalex.org/I11701301","https://openalex.org/I99043593"],"apc_list":null,"apc_paid":null,"fwci":1.4957,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82269191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"36","issue":"2","first_page":"3547","last_page":"3558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9995999932289124,"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/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9995999932289124,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6424431800842285},{"id":"https://openalex.org/keywords/categorization","display_name":"Categorization","score":0.5299870371818542},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5079250931739807},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5076538324356079},{"id":"https://openalex.org/keywords/weight","display_name":"Weight","score":0.4856928288936615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47198182344436646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4395880699157715},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.39119425415992737},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39017173647880554},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3683222830295563},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.3634743392467499},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3362084627151489},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2285490334033966}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6424431800842285},{"id":"https://openalex.org/C94124525","wikidata":"https://www.wikidata.org/wiki/Q912550","display_name":"Categorization","level":2,"score":0.5299870371818542},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5079250931739807},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5076538324356079},{"id":"https://openalex.org/C183877218","wikidata":"https://www.wikidata.org/wiki/Q7979858","display_name":"Weight","level":3,"score":0.4856928288936615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47198182344436646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4395880699157715},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.39119425415992737},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39017173647880554},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3683222830295563},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.3634743392467499},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3362084627151489},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2285490334033966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2024.3355492","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3355492","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:38329862","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38329862","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null},{"id":"pmh:oai:research-repository.griffith.edu.au:10072/429174","is_oa":true,"landing_page_url":"http://hdl.handle.net/10072/429174","pdf_url":null,"source":{"id":"https://openalex.org/S4306402548","display_name":"Griffith Research Online (Griffith University, Queensland, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11701301","host_organization_name":"Griffith University","host_organization_lineage":["https://openalex.org/I11701301"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:research-repository.griffith.edu.au:10072/429174","is_oa":true,"landing_page_url":"http://hdl.handle.net/10072/429174","pdf_url":null,"source":{"id":"https://openalex.org/S4306402548","display_name":"Griffith Research Online (Griffith University, Queensland, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11701301","host_organization_name":"Griffith University","host_organization_lineage":["https://openalex.org/I11701301"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"},"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G4291974374","display_name":null,"funder_award_id":"DP180100958","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W12634471","https://openalex.org/W343636949","https://openalex.org/W1496650988","https://openalex.org/W1983496390","https://openalex.org/W1986964250","https://openalex.org/W2048192550","https://openalex.org/W2048821851","https://openalex.org/W2070854945","https://openalex.org/W2086377778","https://openalex.org/W2095444191","https://openalex.org/W2104657103","https://openalex.org/W2116022929","https://openalex.org/W2134560790","https://openalex.org/W2138011018","https://openalex.org/W2161969291","https://openalex.org/W2165797462","https://openalex.org/W2183341477","https://openalex.org/W2194775991","https://openalex.org/W2203271703","https://openalex.org/W2295107390","https://openalex.org/W2340013814","https://openalex.org/W2533598788","https://openalex.org/W2554320282","https://openalex.org/W2620879480","https://openalex.org/W2740620254","https://openalex.org/W2746314669","https://openalex.org/W2891951760","https://openalex.org/W2905040722","https://openalex.org/W2950557962","https://openalex.org/W2961018736","https://openalex.org/W2962761264","https://openalex.org/W2963045696","https://openalex.org/W2963066927","https://openalex.org/W2963163009","https://openalex.org/W2964350570","https://openalex.org/W2965318645","https://openalex.org/W2982512212","https://openalex.org/W2992308087","https://openalex.org/W2997737174","https://openalex.org/W2998619563","https://openalex.org/W3009561768","https://openalex.org/W3014509175","https://openalex.org/W3034676907","https://openalex.org/W3088127670","https://openalex.org/W3101840387","https://openalex.org/W3139434170","https://openalex.org/W3170284232","https://openalex.org/W3203876692","https://openalex.org/W3214570998","https://openalex.org/W4220834633","https://openalex.org/W4223574620","https://openalex.org/W4281723345","https://openalex.org/W4295901483","https://openalex.org/W4312235460","https://openalex.org/W4312651322","https://openalex.org/W4319996536","https://openalex.org/W6684191040","https://openalex.org/W6743428213","https://openalex.org/W6747899497","https://openalex.org/W6774670964","https://openalex.org/W6776527177","https://openalex.org/W6788135285","https://openalex.org/W6795754764","https://openalex.org/W6838701581"],"related_works":["https://openalex.org/W2165912799","https://openalex.org/W2735662278","https://openalex.org/W2382615723","https://openalex.org/W1683740614","https://openalex.org/W3008292135","https://openalex.org/W4366999619","https://openalex.org/W2511960118","https://openalex.org/W2279572357","https://openalex.org/W4245527319","https://openalex.org/W1484838241"],"abstract_inverted_index":{"Learning":[0],"discriminative":[1],"representation":[2,78,92],"with":[3,150],"limited":[4,151],"training":[5],"samples":[6],"is":[7,42],"emerging":[8],"as":[9],"an":[10],"important":[11],"yet":[12],"challenging":[13],"visual":[14,148],"categorization":[15,149],"task.":[16],"While":[17],"prior":[18],"work":[19],"has":[20],"shown":[21],"that":[22,31,50],"incorporating":[23],"self-supervised":[24,73,123],"learning":[25,79,124],"can":[26],"improve":[27],"performance,":[28],"we":[29,48],"found":[30],"the":[32,65,128,143],"direct":[33],"use":[34],"of":[35,119,145],"canonical":[36,58,83],"metric":[37,59,84,107],"in":[38],"a":[39,51,57,71,94,109,116],"Lie":[40,61,74,90],"group":[41],"theoretically":[43],"incorrect.":[44],"In":[45],"this":[46,68],"article,":[47],"prove":[49],"valid":[52],"optimization":[53],"measurement":[54],"should":[55],"be":[56],"on":[60,64,108,138],"algebra.":[62],"Based":[63],"theoretical":[66],"finding,":[67],"article":[69],"introduces":[70],"novel":[72],"algebra":[75,91],"network":[76],"(SLA-Net)":[77],"framework.":[80],"Via":[81],"minimizing":[82],"distance":[85],"between":[86],"target":[87],"and":[88,125],"predicted":[89],"within":[93],"computationally":[95],"convenient":[96],"vector":[97],"space,":[98],"SLA-Net":[99,130,146],"avoids":[100],"computing":[101],"nontrivial":[102],"geodesic":[103],"(locally":[104],"length-minimizing":[105],"curve)":[106],"manifold":[110],"(curved":[111],"space).":[112],"By":[113],"simultaneously":[114],"optimizing":[115],"single":[117],"set":[118],"parameters":[120],"shared":[121],"by":[122],"supervised":[126],"classification,":[127],"proposed":[129],"gains":[131],"improved":[132],"generalization":[133],"capability.":[134],"Comprehensive":[135],"evaluation":[136],"results":[137],"eight":[139],"public":[140],"datasets":[141],"show":[142],"effectiveness":[144],"for":[147],"samples.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
