{"id":"https://openalex.org/W3017958784","doi":"https://doi.org/10.1155/2020/8372928","title":"An Asymmetric Popularity-Similarity Optimization Method for Embedding Directed Networks into Hyperbolic Space","display_name":"An Asymmetric Popularity-Similarity Optimization Method for Embedding Directed Networks into Hyperbolic Space","publication_year":2020,"publication_date":"2020-04-22","ids":{"openalex":"https://openalex.org/W3017958784","doi":"https://doi.org/10.1155/2020/8372928","mag":"3017958784"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8372928","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8372928","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8372928.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/8372928.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068224721","display_name":"Zongning Wu","orcid":"https://orcid.org/0000-0002-0699-9025"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongning Wu","raw_affiliation_strings":["School of Systems Science, Beijing Normal University, 100875 Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Systems Science, Beijing Normal University, 100875 Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102710973","display_name":"Zengru Di","orcid":"https://orcid.org/0000-0002-5240-298X"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengru Di","raw_affiliation_strings":["School of Systems Science, Beijing Normal University, 100875 Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Systems Science, Beijing Normal University, 100875 Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009404792","display_name":"Ying Fan","orcid":"https://orcid.org/0000-0001-5321-588X"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ying Fan","raw_affiliation_strings":["School of Systems Science, Beijing Normal University, 100875 Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Systems Science, Beijing Normal University, 100875 Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009404792"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.9329,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73026998,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.703187882900238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5638142228126526},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.524513840675354},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5044857263565063},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.47232288122177124},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4467511773109436},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4179566502571106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3972328305244446},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.362906813621521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1939060091972351},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1120920479297638}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.703187882900238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5638142228126526},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.524513840675354},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5044857263565063},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.47232288122177124},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4467511773109436},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4179566502571106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3972328305244446},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.362906813621521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1939060091972351},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1120920479297638},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/8372928","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8372928","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8372928.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8372928","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/8372928.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:72912f6f24a44be593930825e761ecf4","is_oa":true,"landing_page_url":"https://doaj.org/article/72912f6f24a44be593930825e761ecf4","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/8372928","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8372928","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8372928.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1253904684","display_name":null,"funder_award_id":"7173100","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/G2852576408","display_name":null,"funder_award_id":"71731002","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/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5379740167","display_name":null,"funder_award_id":"61573065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5733390078","display_name":null,"funder_award_id":"Grant nos.","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/G6287932778","display_name":null,"funder_award_id":"BNUXKJC1921","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3017958784.pdf","grobid_xml":"https://content.openalex.org/works/W3017958784.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W114534726","https://openalex.org/W1890754837","https://openalex.org/W1971215074","https://openalex.org/W1977969989","https://openalex.org/W1980940295","https://openalex.org/W1981913231","https://openalex.org/W1982803213","https://openalex.org/W2004258751","https://openalex.org/W2030407863","https://openalex.org/W2038793346","https://openalex.org/W2040092971","https://openalex.org/W2064796447","https://openalex.org/W2082257952","https://openalex.org/W2125050594","https://openalex.org/W2160938187","https://openalex.org/W2163922914","https://openalex.org/W2167597870","https://openalex.org/W2293165031","https://openalex.org/W2296729071","https://openalex.org/W2394869841","https://openalex.org/W2542327521","https://openalex.org/W2594770789","https://openalex.org/W2612872092","https://openalex.org/W2737664136","https://openalex.org/W2766650025","https://openalex.org/W2784456775","https://openalex.org/W2888988444","https://openalex.org/W2962975498","https://openalex.org/W2963553326","https://openalex.org/W2963775176","https://openalex.org/W3102255863","https://openalex.org/W3103096667"],"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/W2098964748","https://openalex.org/W2932872266","https://openalex.org/W4225304485","https://openalex.org/W4308670589"],"abstract_inverted_index":{"Network":[0],"embedding":[1,29,52,113],"is":[2],"a":[3,19,49,91],"frontier":[4],"topic":[5],"in":[6,80,90,100,106],"current":[7],"network":[8,93],"science.":[9],"The":[10],"scale-free":[11],"property":[12],"of":[13,21,25,40,64,77,87,125],"complex":[14,41],"networks":[15,54,66,79,109],"can":[16],"emerge":[17],"as":[18],"consequence":[20],"the":[22,61,71,74,84,95,101,104,119,122],"exponential":[23],"expansion":[24],"hyperbolic":[26,37,56,81,85],"space.":[27,57],"Some":[28],"models":[30],"have":[31],"recently":[32],"been":[33],"developed":[34],"to":[35],"explore":[36],"geometric":[38],"properties":[39],"networks\u2014in":[42],"particular,":[43],"symmetric":[44],"networks.":[45],"Here,":[46],"we":[47],"propose":[48],"model":[50,120],"for":[51],"directed":[53,65,92],"into":[55],"In":[58],"accordance":[59],"with":[60],"bipartite":[62],"structure":[63],"and":[67,117],"multiplex":[68],"node":[69,89],"information,":[70],"method":[72,99],"replays":[73],"generation":[75],"law":[76],"asymmetric":[78,96],"space,":[82],"estimating":[83],"coordinates":[86],"each":[88],"by":[94],"popularity-similarity":[97],"optimization":[98],"model.":[102],"Additionally,":[103],"experiments":[105],"several":[107],"real":[108],"show":[110],"that":[111,118],"our":[112],"algorithm":[114],"has":[115],"stability":[116],"enlarges":[121],"application":[123],"scope":[124],"existing":[126],"methods.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
