{"id":"https://openalex.org/W4394715200","doi":"https://doi.org/10.1007/s11280-024-01254-7","title":"Complex query answering over knowledge graphs foundation model using region embeddings on a lie group","display_name":"Complex query answering over knowledge graphs foundation model using region embeddings on a lie group","publication_year":2024,"publication_date":"2024-04-11","ids":{"openalex":"https://openalex.org/W4394715200","doi":"https://doi.org/10.1007/s11280-024-01254-7"},"language":"en","primary_location":{"id":"doi:10.1007/s11280-024-01254-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11280-024-01254-7","pdf_url":null,"source":{"id":"https://openalex.org/S129236917","display_name":"World Wide Web","issn_l":"1386-145X","issn":["1386-145X","1573-1413"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"World Wide Web","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://hdl.handle.net/10072/430457","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111901693","display_name":"Zhengyun Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210125402","display_name":"Hubei Zhongshan Hospital","ror":"https://ror.org/02xhgjz70","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210125402"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhengyun Zhou","raw_affiliation_strings":["Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I4210125402","https://openalex.org/I37461747"]},{"raw_affiliation_string":"National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002618466","display_name":"Guojia Wan","orcid":"https://orcid.org/0000-0003-3151-8606"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210125402","display_name":"Hubei Zhongshan Hospital","ror":"https://ror.org/02xhgjz70","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210125402"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guojia Wan","raw_affiliation_strings":["Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I4210125402","https://openalex.org/I37461747"]},{"raw_affiliation_string":"National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008056593","display_name":"Shirui Pan","orcid":"https://orcid.org/0000-0003-0794-527X"},"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":"Shirui Pan","raw_affiliation_strings":["School of Information and Communication Technology and Institute for Integrated and Intelligent Systems(IIIS), Griffith University, Queensland, Australia"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Technology and Institute for Integrated and Intelligent Systems(IIIS), Griffith University, Queensland, Australia","institution_ids":["https://openalex.org/I11701301"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007475662","display_name":"Jia Wu","orcid":"https://orcid.org/0000-0002-1371-5801"},"institutions":[{"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":false,"raw_author_name":"Jia Wu","raw_affiliation_strings":["Macquarie University Artificial Intelligence Research Centre in Australia, New South Wales, Australia"],"affiliations":[{"raw_affiliation_string":"Macquarie University Artificial Intelligence Research Centre in Australia, New South Wales, Australia","institution_ids":["https://openalex.org/I99043593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101547511","display_name":"Wenbin Hu","orcid":"https://orcid.org/0000-0002-9258-3850"},"institutions":[{"id":"https://openalex.org/I4210125402","display_name":"Hubei Zhongshan Hospital","ror":"https://ror.org/02xhgjz70","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210125402"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbin Hu","raw_affiliation_strings":["Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I4210125402","https://openalex.org/I37461747"]},{"raw_affiliation_string":"National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060042752","display_name":"Bo Du","orcid":"https://orcid.org/0000-0002-0059-8458"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210125402","display_name":"Hubei Zhongshan Hospital","ror":"https://ror.org/02xhgjz70","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210125402"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Du","raw_affiliation_strings":["Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Multimedia and Network Communication Engineering, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Hubei Luojia Laboratory, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I4210125402","https://openalex.org/I37461747"]},{"raw_affiliation_string":"National Engineering Research Center for Multimedia Software, Institute of Artificial Intelligence, and School of Computer Science, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5111901693"],"corresponding_institution_ids":["https://openalex.org/I37461747","https://openalex.org/I4210125402"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.4602,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83680188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"27","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":1.0,"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/T11273","display_name":"Advanced Graph Neural Networks","score":1.0,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9991999864578247,"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/T10028","display_name":"Topic Modeling","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7569302320480347},{"id":"https://openalex.org/keywords/foundation","display_name":"Foundation (evidence)","score":0.4886670410633087},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4532207250595093},{"id":"https://openalex.org/keywords/question-answering","display_name":"Question answering","score":0.4439485967159271},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37695884704589844},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.36651647090911865},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07219120860099792}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7569302320480347},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.4886670410633087},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4532207250595093},{"id":"https://openalex.org/C44291984","wikidata":"https://www.wikidata.org/wiki/Q1074173","display_name":"Question answering","level":2,"score":0.4439485967159271},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37695884704589844},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.36651647090911865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07219120860099792},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11280-024-01254-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11280-024-01254-7","pdf_url":null,"source":{"id":"https://openalex.org/S129236917","display_name":"World Wide Web","issn_l":"1386-145X","issn":["1386-145X","1573-1413"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"World Wide Web","raw_type":"journal-article"},{"id":"pmh:oai:research-repository.griffith.edu.au:10072/430457","is_oa":true,"landing_page_url":"https://hdl.handle.net/10072/430457","pdf_url":null,"source":null,"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:10072/430457","is_oa":true,"landing_page_url":"https://hdl.handle.net/10072/430457","pdf_url":null,"source":null,"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":0.6600000262260437,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2061357049","display_name":null,"funder_award_id":"62206202,62225113","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W569478347","https://openalex.org/W1512387364","https://openalex.org/W2022166150","https://openalex.org/W2046609227","https://openalex.org/W2073587810","https://openalex.org/W2094728533","https://openalex.org/W2168120333","https://openalex.org/W2250184916","https://openalex.org/W2294131806","https://openalex.org/W2514852614","https://openalex.org/W2962886429","https://openalex.org/W2963203544","https://openalex.org/W3003265726","https://openalex.org/W3012643966","https://openalex.org/W3128695267","https://openalex.org/W3153739498","https://openalex.org/W3157651462","https://openalex.org/W3188263062","https://openalex.org/W4221161137","https://openalex.org/W4225632115","https://openalex.org/W4285604412","https://openalex.org/W4288046368","https://openalex.org/W4290943973","https://openalex.org/W4296771270","https://openalex.org/W4298148357","https://openalex.org/W4311881494","https://openalex.org/W4324095404","https://openalex.org/W4382929818","https://openalex.org/W4385431628","https://openalex.org/W4385571162","https://openalex.org/W4386947099"],"related_works":["https://openalex.org/W2384605597","https://openalex.org/W2387743295","https://openalex.org/W2115758952","https://openalex.org/W2381393187","https://openalex.org/W2332779545","https://openalex.org/W3082787378","https://openalex.org/W2136007095","https://openalex.org/W2366230879","https://openalex.org/W3208425359","https://openalex.org/W2349927912"],"abstract_inverted_index":{"Answering":[0],"complex":[1,70,115,226],"queries":[2,71,144],"with":[3],"First-order":[4],"logical":[5,56],"operators":[6,57],"over":[7],"knowledge":[8,125,221],"graphs,":[9],"such":[10],"as":[11,58,109,147],"conjunction":[12],"(":[13,18,24],"$$\\wedge":[14],"$$":[15,20,26],"),":[16,21],"disjunction":[17],"$$\\vee":[19],"and":[22,46,54,139,143,159,167,201,210,225],"negation":[23,160],"$$\\lnot":[25],")":[27],"is":[28,93],"immensely":[29],"useful":[30],"for":[31,95,114],"identifying":[32],"missing":[33],"knowledge.":[34],"Recently,":[35],"neural":[36,60],"symbolic":[37],"reasoning":[38],"methods":[39],"have":[40],"been":[41],"proposed":[42],"to":[43,72,80,120,133],"map":[44],"entities":[45,166],"relations":[47],"into":[48],"a":[49,106,110,148,151,195],"continuous":[50],"real":[51],"vector":[52],"space":[53,113],"model":[55,224],"differential":[59],"networks.":[61],"However,":[62],"traditional":[63],"methodss":[64],"employ":[65],"negative":[66],"sampling,":[67],"which":[68],"corrupts":[69],"train":[73],"embeddings.":[74,100],"Consequently,":[75],"these":[76],"embeddings":[77],"are":[78,145],"susceptible":[79],"divergence":[81,98],"in":[82],"the":[83,97,122,127,135,155,162,171,174,177,184,218],"open":[84],"manifold":[85],"of":[86,99,124,137,150,161,176,220],"$$\\mathbb":[87],"{R}^n$$":[88],".":[89],"The":[90],"appropriate":[91],"regularization":[92],"crucial":[94],"addressing":[96],"In":[101],"this":[102],"paper,":[103],"we":[104,179,181],"introduces":[105],"Lie":[107],"group":[108],"compact":[111],"embedding":[112],"query":[116,136,227],"embedding,":[117],"enhancing":[118],"ability":[119],"handle":[121],"intricacies":[123],"graphs":[126,222],"foundation":[128,223],"model.":[129],"Our":[130],"method":[131,193],"aims":[132],"solve":[134],"disjunctive":[138],"conjunctive":[140],"problems.":[141],"Entities":[142],"represented":[146],"region":[149,175],"high-dimensional":[152],"torus,":[153],"where":[154],"projection,":[156],"intersection,":[157],"union,":[158],"torus":[163,178],"naturally":[164],"simulate":[165],"queries.":[168],"After":[169],"simulating":[170],"operations":[172],"on":[173,198,206],"defined,":[180],"found":[182],"that":[183,191],"resulting":[185],"geometry":[186],"remains":[187],"unchanged.":[188],"Experiments":[189],"show":[190],"our":[192,212],"achieved":[194],"significant":[196,215],"improvement":[197],"FB15K,":[199,208],"FB15K-237,":[200,209],"NELL995.":[202],"Through":[203],"extensive":[204],"experiments":[205],"datasets":[207],"NELL995,":[211],"approach":[213],"demonstrates":[214],"improvements,":[216],"leveraging":[217],"strengths":[219],"processing.":[228]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
