{"id":"https://openalex.org/W3082827644","doi":"https://doi.org/10.1145/3340531.3411875","title":"NagE: Non-Abelian Group Embedding for Knowledge Graphs","display_name":"NagE: Non-Abelian Group Embedding for Knowledge Graphs","publication_year":2020,"publication_date":"2020-10-19","ids":{"openalex":"https://openalex.org/W3082827644","doi":"https://doi.org/10.1145/3340531.3411875","mag":"3082827644"},"language":"en","primary_location":{"id":"doi:10.1145/3340531.3411875","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3340531.3411875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 29th ACM International Conference on Information &amp; Knowledge Management","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.10956","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Tong Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tong Yang","raw_affiliation_strings":["Boston Colledge, Newton, MA, USA"],"affiliations":[{"raw_affiliation_string":"Boston Colledge, Newton, MA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Long Sha","orcid":null},"institutions":[{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Long Sha","raw_affiliation_strings":["Brandeis University, Waltham, MA, USA"],"affiliations":[{"raw_affiliation_string":"Brandeis University, Waltham, MA, USA","institution_ids":["https://openalex.org/I6902469"]}]},{"author_position":"last","author":{"id":null,"display_name":"Pengyu Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pengyu Hong","raw_affiliation_strings":["Brandeis University, Waltham, MA, USA"],"affiliations":[{"raw_affiliation_string":"Brandeis University, Waltham, MA, USA","institution_ids":["https://openalex.org/I6902469"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6857,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76877571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1735","last_page":"1742"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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":"Topic Modeling","score":0.9976000189781189,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9765999913215637,"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/embedding","display_name":"Embedding","score":0.8883000016212463},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6420999765396118},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.5343000292778015},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5127999782562256},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.45179998874664307},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4174000024795532},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4025000035762787},{"id":"https://openalex.org/keywords/knowledge-graph","display_name":"Knowledge graph","score":0.38679999113082886}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8883000016212463},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6420999765396118},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.5343000292778015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5309000015258789},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5134000182151794},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5127999782562256},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.45179998874664307},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4174000024795532},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4025000035762787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38760000467300415},{"id":"https://openalex.org/C2987255567","wikidata":"https://www.wikidata.org/wiki/Q33002955","display_name":"Knowledge graph","level":2,"score":0.38679999113082886},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3393999934196472},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C75564084","wikidata":"https://www.wikidata.org/wiki/Q5597085","display_name":"Graph embedding","level":3,"score":0.32199999690055847},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32010000944137573},{"id":"https://openalex.org/C170124329","wikidata":"https://www.wikidata.org/wiki/Q592651","display_name":"Non-abelian group","level":4,"score":0.30230000615119934},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29089999198913574},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.27649998664855957},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.25429999828338623}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3340531.3411875","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3340531.3411875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 29th ACM International Conference on Information &amp; Knowledge Management","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2005.10956","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.10956","pdf_url":"https://arxiv.org/pdf/2005.10956","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.10956","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.10956","pdf_url":"https://arxiv.org/pdf/2005.10956","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2081580037","https://openalex.org/W2094728533","https://openalex.org/W2250184916","https://openalex.org/W2728059831","https://openalex.org/W2739716023","https://openalex.org/W2950604577","https://openalex.org/W2963203544","https://openalex.org/W4205510932"],"related_works":[],"abstract_inverted_index":{"We":[0,78],"demonstrated":[1],"the":[2,33,37,47,104],"existence":[3],"of":[4,36,96],"a":[5,18,53,80,99],"group":[6,54,66,75,102],"algebraic":[7],"structure":[8],"hidden":[9],"in":[10,60,74],"relational":[11],"knowledge":[12,56],"embedding":[13,20,26,38,58,85],"problems,":[14],"which":[15,61,97],"suggests":[16],"that":[17],"group-based":[19],"framework":[21],"is":[22,42],"essential":[23],"for":[24],"designing":[25],"models.":[27],"Our":[28],"theoretical":[29,48],"analysis":[30],"explores":[31],"merely":[32],"intrinsic":[34],"property":[35],"problem":[39],"itself":[40],"hence":[41],"model":[43],"independent.":[44],"Motivated":[45],"by":[46,72],"analysis,":[49],"we":[50],"have":[51,114],"proposed":[52],"theory-based":[55],"graph":[57],"framework,":[59],"relations":[62],"are":[63,70],"embedded":[64],"as":[65,103],"elements,":[67],"and":[68,93],"entities":[69],"represented":[71],"vectors":[73],"action":[76],"spaces.":[77],"provide":[79],"generic":[81],"recipe":[82],"to":[83],"construct":[84],"models":[86,113],"associated":[87],"with":[88],"two":[89,111],"instantiating":[90],"examples:":[91],"SO3E":[92],"SU2E,":[94],"both":[95],"apply":[98],"continuous":[100],"non-Abelian":[101],"relation":[105],"embedding.":[106],"Empirical":[107],"experiments":[108],"using":[109],"these":[110],"exampling":[112],"shown":[115],"state-of-the-art":[116],"results":[117],"on":[118],"benchmark":[119],"datasets.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2020-09-08T00:00:00"}
