{"id":"https://openalex.org/W4213337779","doi":"https://doi.org/10.1109/tkde.2022.3151435","title":"Geometric Algebra based Embeddings for Static and Temporal Knowledge Graph Completion","display_name":"Geometric Algebra based Embeddings for Static and Temporal Knowledge Graph Completion","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4213337779","doi":"https://doi.org/10.1109/tkde.2022.3151435"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/tkde.2022.3151435","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"acceptedVersion","is_accepted":true,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.1109/tkde.2022.3151435","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022319543","display_name":"Chengjin Xu","orcid":"https://orcid.org/0000-0002-4942-9049"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Chengjin Xu","raw_affiliation_strings":["Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043741534","display_name":"Mojtaba Nayyeri","orcid":"https://orcid.org/0000-0002-9177-0312"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mojtaba Nayyeri","raw_affiliation_strings":["Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060270122","display_name":"Yung-Yu Chen","orcid":"https://orcid.org/0000-0002-0720-9742"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yung-Yu Chen","raw_affiliation_strings":["Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067133778","display_name":"Jens Lehmann","orcid":"https://orcid.org/0000-0001-9108-4278"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jens Lehmann","raw_affiliation_strings":["Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bonn, 9374 Bonn, Nordrhein-Westfalen, Germany,","institution_ids":["https://openalex.org/I135140700"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.628,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.751268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":92},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Graph Neural Network Models and Applications","score":0.9998,"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":"Graph Neural Network Models and Applications","score":0.9998,"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/T10028","display_name":"Natural Language Processing","score":0.9772,"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/T10064","display_name":"Statistical Mechanics of Complex Networks","score":0.9602,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/knowledge-graph-embedding","display_name":"Knowledge Graph Embedding","score":0.679082},{"id":"https://openalex.org/keywords/network-embedding","display_name":"Network Embedding","score":0.560576},{"id":"https://openalex.org/keywords/named-entity-recognition","display_name":"Named Entity Recognition","score":0.543027},{"id":"https://openalex.org/keywords/representation-learning","display_name":"Representation Learning","score":0.538797},{"id":"https://openalex.org/keywords/signal-processing-on-graphs","display_name":"Signal Processing on Graphs","score":0.517954},{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.50942},{"id":"https://openalex.org/keywords/multivector","display_name":"Multivector","score":0.4949426},{"id":"https://openalex.org/keywords/knowledge-graph","display_name":"Knowledge graph","score":0.46904427},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.449395}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6436395},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6100731},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5511628},{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.50942},{"id":"https://openalex.org/C26238338","wikidata":"https://www.wikidata.org/wiki/Q2377336","display_name":"Multivector","level":5,"score":0.4949426},{"id":"https://openalex.org/C2987255567","wikidata":"https://www.wikidata.org/wiki/Q33002955","display_name":"Knowledge graph","level":2,"score":0.46904427},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46431065},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.449395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28197816},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25067127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24156362},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.16455483},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/tkde.2022.3151435","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"acceptedVersion","is_accepted":true,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2202.09464","pdf_url":"http://arxiv.org/pdf/2202.09464","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2202.09464","pdf_url":"https://arxiv.org/pdf/2202.09464","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2202.09464","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/tkde.2022.3151435","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"acceptedVersion","is_accepted":true,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W4213337779"],"referenced_works_count":47,"referenced_works":["https://openalex.org/W102708294","https://openalex.org/W150699991","https://openalex.org/W1533230146","https://openalex.org/W2038721957","https://openalex.org/W205829674","https://openalex.org/W2094728533","https://openalex.org/W2127795553","https://openalex.org/W2139797624","https://openalex.org/W2250184916","https://openalex.org/W2250342289","https://openalex.org/W2283196293","https://openalex.org/W2330519681","https://openalex.org/W2552480641","https://openalex.org/W2604314403","https://openalex.org/W2621591459","https://openalex.org/W2746461580","https://openalex.org/W2754811377","https://openalex.org/W2759136286","https://openalex.org/W2785761199","https://openalex.org/W2798864014","https://openalex.org/W2889782235","https://openalex.org/W2890410208","https://openalex.org/W2899771611","https://openalex.org/W2910396842","https://openalex.org/W2942026896","https://openalex.org/W2949434543","https://openalex.org/W2963119656","https://openalex.org/W2963432357","https://openalex.org/W2963450615","https://openalex.org/W2991459079","https://openalex.org/W2996371683","https://openalex.org/W2997837621","https://openalex.org/W2998508934","https://openalex.org/W2998528434","https://openalex.org/W3003265726","https://openalex.org/W3021393704","https://openalex.org/W3101358844","https://openalex.org/W3101611558","https://openalex.org/W3115318530","https://openalex.org/W3116511250","https://openalex.org/W3125285427","https://openalex.org/W3155883059","https://openalex.org/W3208015520","https://openalex.org/W4245629023","https://openalex.org/W4300579117","https://openalex.org/W4398380195","https://openalex.org/W804133461"],"related_works":["https://openalex.org/W4385571246","https://openalex.org/W4293236197","https://openalex.org/W4288286922","https://openalex.org/W4206547516","https://openalex.org/W4206028705","https://openalex.org/W2954554213","https://openalex.org/W2897702399","https://openalex.org/W2808284704","https://openalex.org/W2757431232","https://openalex.org/W2604454537"],"abstract_inverted_index":{"Recent":[0],"years,":[1],"Knowledge":[2,22,39],"Graph":[3,23],"Embeddings":[4],"(KGEs)":[5],"have":[6,31],"shown":[7],"promising":[8],"performance":[9,166],"on":[10,164,181],"link":[11,182],"prediction":[12,183],"tasks":[13],"by":[14],"mapping":[15],"the":[16,45,80,102,159,165,178],"entities":[17,107],"and":[18,29,87,101,108,116,145,190],"relations":[19,122],"from":[20,53],"a":[21,26,89,142,147],"(KG)":[24],"into":[25],"geometric":[27,91,103],"space":[28,84],"thus":[30],"gained":[32],"increasing":[33],"attentions.":[34],"In":[35,72],"addition,":[36],"many":[37],"recent":[38],"Graphs":[40],"involve":[41],"evolving":[42],"data,":[43],"e.g.,":[44],"fact":[46],"(\\textit{Obama},":[47],"\\textit{PresidentOf},":[48],"\\textit{USA})":[49],"is":[50,117],"valid":[51],"only":[52],"2009":[54],"to":[55,77,105,119,131],"2017.":[56],"This":[57],"introduces":[58],"important":[59],"challenges":[60],"for":[61,85,133,152],"knowledge":[62],"representation":[63,154],"learning":[64],"since":[65],"such":[66],"temporal":[67,134,143,150,193],"KGs":[68],"change":[69],"over":[70,184],"time.":[71],"this":[73],"work,":[74],"we":[75,128,157],"strive":[76],"move":[78],"beyond":[79],"complex":[81],"or":[82],"hypercomplex":[83],"KGE":[86,114],"propose":[88],"novel":[90],"algebra":[92],"based":[93],"embedding":[94],"approach,":[95],"GeomE,":[96],"which":[97,136],"uses":[98],"multivector":[99],"representations":[100],"product":[104],"model":[106,120],"relations.":[109],"GeomE":[110,130],"subsumes":[111],"several":[112],"state-of-the-art":[113,179],"models":[115,176],"able":[118],"diverse":[121],"patterns.":[123],"On":[124],"top":[125],"of":[126,141,161,167],"this,":[127],"extend":[129],"TGeomE":[132,168],"KGE,":[135],"performs":[137],"4th-order":[138],"tensor":[139],"factorization":[140],"KG":[144,188,194],"devises":[146],"new":[148],"linear":[149],"regularization":[151],"time":[153,162],"learning.":[155],"Moreover,":[156],"study":[158],"effect":[160],"granularity":[163],"models.":[169],"Experimental":[170],"results":[171],"show":[172],"that":[173],"our":[174],"proposed":[175],"achieve":[177],"performances":[180],"four":[185,191],"commonly-used":[186],"static":[187],"datasets":[189,195],"well-established":[192],"across":[196],"various":[197],"metrics.":[198]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4213337779","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5}],"updated_date":"2024-10-08T22:00:12.483998","created_date":"2022-02-24"}