{"id":"https://openalex.org/W4312279821","doi":"https://doi.org/10.1109/tkde.2022.3221929","title":"ROLE: Rotated Lorentzian Graph Embedding Model for Asymmetric Proximity","display_name":"ROLE: Rotated Lorentzian Graph Embedding Model for Asymmetric Proximity","publication_year":2022,"publication_date":"2022-11-14","ids":{"openalex":"https://openalex.org/W4312279821","doi":"https://doi.org/10.1109/tkde.2022.3221929"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2022.3221929","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2022.3221929","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-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/A5086115549","display_name":"Shanshan Feng","orcid":"https://orcid.org/0000-0002-6161-9232"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shanshan Feng","raw_affiliation_strings":["Harbin Institute of Technology, Shenzhen, Guangdong, China"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, Shenzhen, Guangdong, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002042909","display_name":"Lisi Chen","orcid":"https://orcid.org/0000-0003-4233-3543"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lisi Chen","raw_affiliation_strings":["University of Electronic Science and Technology of China, Chengdu, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"University of Electronic Science and Technology of China, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090118317","display_name":"Kaiqi Zhao","orcid":"https://orcid.org/0000-0002-0984-1629"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Kaiqi Zhao","raw_affiliation_strings":["University of Auckland, Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100323842","display_name":"Wei Wei","orcid":"https://orcid.org/0000-0003-4488-0102"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wei","raw_affiliation_strings":["Huazhong University of Science and Technology, Wuhan, Hubei, China"],"affiliations":[{"raw_affiliation_string":"Huazhong University of Science and Technology, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072768866","display_name":"Xuemeng Song","orcid":"https://orcid.org/0000-0002-5274-4197"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuemeng Song","raw_affiliation_strings":["Shandong University, Jinan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Shandong University, Jinan, Shandong, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102754146","display_name":"Shuo Shang","orcid":"https://orcid.org/0000-0002-1117-2890"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuo Shang","raw_affiliation_strings":["University of Electronic Science and Technology of China, Chengdu, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"University of Electronic Science and Technology of China, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014399734","display_name":"Panos Kalnis","orcid":"https://orcid.org/0000-0002-5060-1360"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Panos Kalnis","raw_affiliation_strings":["King Abdullah University of Science and Technology, Thuwal, Jeddah, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"King Abdullah University of Science and Technology, Thuwal, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082634513","display_name":"Ling Shao","orcid":"https://orcid.org/0000-0002-8264-6117"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ling Shao","raw_affiliation_strings":["King Abdullah University of Science and Technology, Thuwal, Jeddah, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"King Abdullah University of Science and Technology, Thuwal, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5086115549"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":0.9717,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80266373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"35","issue":"9","first_page":"9140","last_page":"9153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9995999932289124,"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":0.9995999932289124,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9743000268936157,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9401000142097473,"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/embedding","display_name":"Embedding","score":0.8175598382949829},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6203494071960449},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5532443523406982},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48274391889572144},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.45352065563201904},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.43532097339630127},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.4152093529701233},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35435521602630615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.316141813993454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2544255256652832},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19938090443611145},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1593940556049347},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11585301160812378}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8175598382949829},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6203494071960449},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5532443523406982},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48274391889572144},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.45352065563201904},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.43532097339630127},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.4152093529701233},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35435521602630615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.316141813993454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2544255256652832},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19938090443611145},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1593940556049347},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11585301160812378},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tkde.2022.3221929","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2022.3221929","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/686283","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/686283","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1100817172","display_name":null,"funder_award_id":"619320","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4223126646","display_name":null,"funder_award_id":"61932004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4460768019","display_name":null,"funder_award_id":"62032001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5249178904","display_name":null,"funder_award_id":"Grant No. 6","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6095425281","display_name":null,"funder_award_id":"62276110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6686603084","display_name":null,"funder_award_id":"U2001212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G740642855","display_name":null,"funder_award_id":"U21B2046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7537086629","display_name":null,"funder_award_id":"6193200","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7866440891","display_name":null,"funder_award_id":"CCF-AFSG","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W1560267311","https://openalex.org/W1888005072","https://openalex.org/W1964869462","https://openalex.org/W1971215074","https://openalex.org/W2018049970","https://openalex.org/W2038721957","https://openalex.org/W2058600246","https://openalex.org/W2107940991","https://openalex.org/W2111708605","https://openalex.org/W2124637492","https://openalex.org/W2138674039","https://openalex.org/W2154851992","https://openalex.org/W2158796406","https://openalex.org/W2181900708","https://openalex.org/W2387462954","https://openalex.org/W2393319904","https://openalex.org/W2415243320","https://openalex.org/W2604942799","https://openalex.org/W2605234117","https://openalex.org/W2612872092","https://openalex.org/W2614812929","https://openalex.org/W2622849676","https://openalex.org/W2700550412","https://openalex.org/W2782213427","https://openalex.org/W2797520557","https://openalex.org/W2801800683","https://openalex.org/W2807264610","https://openalex.org/W2890855364","https://openalex.org/W2904510605","https://openalex.org/W2907492528","https://openalex.org/W2912265134","https://openalex.org/W2912719334","https://openalex.org/W2913042083","https://openalex.org/W2949434543","https://openalex.org/W2951659295","https://openalex.org/W2952402334","https://openalex.org/W2955067198","https://openalex.org/W2962756421","https://openalex.org/W2962833907","https://openalex.org/W2962975498","https://openalex.org/W2963224980","https://openalex.org/W2963757395","https://openalex.org/W2964015378","https://openalex.org/W2982490267","https://openalex.org/W2982880755","https://openalex.org/W2984343629","https://openalex.org/W2986466936","https://openalex.org/W2996976629","https://openalex.org/W2997897037","https://openalex.org/W2998128907","https://openalex.org/W3033917965","https://openalex.org/W3034329417","https://openalex.org/W3034992133","https://openalex.org/W3035134435","https://openalex.org/W3044893918","https://openalex.org/W3093696863","https://openalex.org/W3102317997","https://openalex.org/W3104097132","https://openalex.org/W3104211877","https://openalex.org/W3145608311","https://openalex.org/W3174440574","https://openalex.org/W4288088482","https://openalex.org/W4291474301","https://openalex.org/W4294170691","https://openalex.org/W4294371460","https://openalex.org/W4294558607","https://openalex.org/W4295111765","https://openalex.org/W4295112348","https://openalex.org/W4297733535","https://openalex.org/W4299279015","https://openalex.org/W4299801216","https://openalex.org/W6682691769","https://openalex.org/W6685183736","https://openalex.org/W6686091084","https://openalex.org/W6726873649","https://openalex.org/W6738964360","https://openalex.org/W6747652377","https://openalex.org/W6748856961","https://openalex.org/W6750599894","https://openalex.org/W6751264767","https://openalex.org/W6751693566","https://openalex.org/W6752141533","https://openalex.org/W6753331806","https://openalex.org/W6758075616","https://openalex.org/W6758229760","https://openalex.org/W6758872665","https://openalex.org/W6765411158","https://openalex.org/W6766952790","https://openalex.org/W6767121309","https://openalex.org/W6770102389","https://openalex.org/W6779558775"],"related_works":["https://openalex.org/W2081900870","https://openalex.org/W2183306018","https://openalex.org/W2549990292","https://openalex.org/W2345479200","https://openalex.org/W2951819827","https://openalex.org/W2849310602","https://openalex.org/W2419146053","https://openalex.org/W2088247287","https://openalex.org/W3132395223","https://openalex.org/W4206028705"],"abstract_inverted_index":{"Graph":[0],"embedding,":[1],"which":[2,30,81,118],"aims":[3],"to":[4,9,48,62,172,208,215],"learn":[5,168],"low-dimensional":[6],"node":[7,161,226],"representations":[8],"preserve":[10,33,49],"original":[11],"graph":[12,22,186],"structures,":[13],"has":[14],"attracted":[15],"extensive":[16,180],"research":[17],"interests.":[18],"However,":[19],"most":[20],"existing":[21,58],"embedding":[23,43,165,199],"models":[24,44,60],"represent":[25,159],"nodes":[26],"in":[27,53],"Euclidean":[28],"spaces,":[29],"cannot":[31],"effectively":[32,127],"complex":[34],"patterns,":[35],"e.g.,":[36],"hierarchical":[37,51,87,133],"structures.":[38],"Very":[39],"recently,":[40],"several":[41],"hyperbolic":[42,59,77],"have":[45],"been":[46],"proposed":[47,193],"the":[50,64,86,138,151,174,192,219,223],"information":[52,143],"negative":[54],"curvature":[55],"spaces.":[56],"Nevertheless,":[57],"fail":[61],"model":[63,125,150],"asymmetric":[65,76,90,152],"proximity":[66,91,153],"between":[67],"nodes.":[68],"To":[69],"address":[70],"this,":[71],"we":[72,158],"investigate":[73],"a":[74,102,163],"new":[75],"network":[78,139],"representation":[79],"problem,":[80],"targets":[82],"at":[83],"jointly":[84],"preserving":[85],"structures":[88,134],"and":[89,131,141,167,211],"for":[92],"general":[93],"directed":[94,185],"graphs.":[95],"We":[96,178],"solve":[97],"this":[98],"problem":[99],"by":[100],"proposing":[101],"novel":[103],"<underline":[104,108,112],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[105,109,113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Ro</u>":[106],"tated":[107],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</u>":[110],"orentzian":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">E</u>":[114],"mbedding":[115],"(ROLE)":[116],"model,":[117],"yields":[119],"two":[120,169],"main":[121],"benefits.":[122],"First,":[123],"our":[124],"can":[126,149],"capture":[128],"both":[129],"implicit":[130],"explicit":[132],"that":[135,191],"come":[136],"from":[137],"topology":[140],"category":[142],"of":[144,176,225],"nodes,":[145],"respectively.":[146],"Second,":[147],"it":[148],"using":[154],"rotation":[155,170],"transformations.":[156],"Specifically,":[157],"each":[160],"with":[162],"Lorentzian":[164],"vector,":[166],"matrices":[171],"reflect":[173],"direction":[175],"edges.":[177],"conduct":[179],"experiments":[181],"on":[182,222],"four":[183],"real-world":[184],"datasets.":[187],"Empirical":[188],"results":[189],"demonstrate":[190],"approach":[194],"consistently":[195],"outperforms":[196],"various":[197],"state-of-the-art":[198],"models.":[200],"In":[201],"particular,":[202],"ROLE":[203],"achieves":[204],"HR@1":[205],"scores":[206,213],"up":[207,214],"19.8%":[209],"higher":[210,217],"NDCG@5":[212],"11.3%":[216],"than":[218],"best":[220],"baselines":[221],"task":[224],"recommendation.":[227]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}