{"id":"https://openalex.org/W2555618718","doi":"https://doi.org/10.1007/s41109-016-0013-0","title":"Manifold learning and maximum likelihood estimation for hyperbolic network embedding","display_name":"Manifold learning and maximum likelihood estimation for hyperbolic network embedding","publication_year":2016,"publication_date":"2016-11-11","ids":{"openalex":"https://openalex.org/W2555618718","doi":"https://doi.org/10.1007/s41109-016-0013-0","mag":"2555618718","pmid":"https://pubmed.ncbi.nlm.nih.gov/30533502"},"language":"en","primary_location":{"id":"doi:10.1007/s41109-016-0013-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41109-016-0013-0","pdf_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-016-0013-0","source":{"id":"https://openalex.org/S3035517252","display_name":"Applied Network Science","issn_l":"2364-8228","issn":["2364-8228"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Network Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-016-0013-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027888740","display_name":"Gregorio Alanis\u2010Lobato","orcid":"https://orcid.org/0000-0001-9339-4229"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]},{"id":"https://openalex.org/I4210165538","display_name":"Institute of Molecular Biology","ror":"https://ror.org/05kxtq558","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210165538"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gregorio Alanis-Lobato","raw_affiliation_strings":["1Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128 Germany","2Faculty of Biology, Johannes Gutenberg Universit\u00e4t, Gresemundweg 2, Mainz, 55128 Germany","Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9339-4229","affiliations":[{"raw_affiliation_string":"1Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128 Germany","institution_ids":["https://openalex.org/I4210165538"]},{"raw_affiliation_string":"2Faculty of Biology, Johannes Gutenberg Universit\u00e4t, Gresemundweg 2, Mainz, 55128 Germany","institution_ids":["https://openalex.org/I197323543"]},{"raw_affiliation_string":"Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128, Germany","institution_ids":["https://openalex.org/I4210165538"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079122723","display_name":"Pablo Mier","orcid":"https://orcid.org/0000-0003-3663-2352"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]},{"id":"https://openalex.org/I4210165538","display_name":"Institute of Molecular Biology","ror":"https://ror.org/05kxtq558","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210165538"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pablo Mier","raw_affiliation_strings":["1Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128 Germany","2Faculty of Biology, Johannes Gutenberg Universit\u00e4t, Gresemundweg 2, Mainz, 55128 Germany","Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128 Germany","institution_ids":["https://openalex.org/I4210165538"]},{"raw_affiliation_string":"2Faculty of Biology, Johannes Gutenberg Universit\u00e4t, Gresemundweg 2, Mainz, 55128 Germany","institution_ids":["https://openalex.org/I197323543"]},{"raw_affiliation_string":"Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128, Germany","institution_ids":["https://openalex.org/I4210165538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010178662","display_name":"Miguel A. Andrade\u2010Navarro","orcid":"https://orcid.org/0000-0001-6650-1711"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]},{"id":"https://openalex.org/I4210165538","display_name":"Institute of Molecular Biology","ror":"https://ror.org/05kxtq558","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210165538"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Miguel A. Andrade-Navarro","raw_affiliation_strings":["1Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128 Germany","2Faculty of Biology, Johannes Gutenberg Universit\u00e4t, Gresemundweg 2, Mainz, 55128 Germany","Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128 Germany","institution_ids":["https://openalex.org/I4210165538"]},{"raw_affiliation_string":"2Faculty of Biology, Johannes Gutenberg Universit\u00e4t, Gresemundweg 2, Mainz, 55128 Germany","institution_ids":["https://openalex.org/I197323543"]},{"raw_affiliation_string":"Institute of Molecular Biology, Ackermannweg 4, Mainz, 55128, Germany","institution_ids":["https://openalex.org/I4210165538"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027888740"],"corresponding_institution_ids":["https://openalex.org/I197323543","https://openalex.org/I4210165538"],"apc_list":{"value":1390,"currency":"USD","value_usd":1390},"apc_paid":{"value":1390,"currency":"USD","value_usd":1390},"fwci":2.1054,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.87686713,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"1","issue":"1","first_page":"10","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9751999974250793,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9708999991416931,"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/similarity","display_name":"Similarity (geometry)","score":0.6272820830345154},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6011111736297607},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5844995379447937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.531654417514801},{"id":"https://openalex.org/keywords/popularity","display_name":"Popularity","score":0.5001709461212158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46513599157333374},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.43302851915359497},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.42946210503578186},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4286792278289795},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42610424757003784},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.42401808500289917},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4092719852924347},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40893423557281494},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09254005551338196}],"concepts":[{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.6272820830345154},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6011111736297607},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5844995379447937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.531654417514801},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.5001709461212158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46513599157333374},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.43302851915359497},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.42946210503578186},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4286792278289795},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42610424757003784},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.42401808500289917},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4092719852924347},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40893423557281494},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09254005551338196},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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":[{"id":"doi:10.1007/s41109-016-0013-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41109-016-0013-0","pdf_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-016-0013-0","source":{"id":"https://openalex.org/S3035517252","display_name":"Applied Network Science","issn_l":"2364-8228","issn":["2364-8228"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Network Science","raw_type":"journal-article"},{"id":"pmid:30533502","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30533502","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied network science","raw_type":null},{"id":"pmh:oai:europepmc.org:5246708","is_oa":true,"landing_page_url":"http://europepmc.org/pmc/articles/PMC6245200","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:6245200","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6245200","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Appl Netw Sci","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s41109-016-0013-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41109-016-0013-0","pdf_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-016-0013-0","source":{"id":"https://openalex.org/S3035517252","display_name":"Applied Network Science","issn_l":"2364-8228","issn":["2364-8228"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Network Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2555618718.pdf","grobid_xml":"https://content.openalex.org/works/W2555618718.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1615243361","https://openalex.org/W1890754837","https://openalex.org/W1954262271","https://openalex.org/W1971215074","https://openalex.org/W1979170109","https://openalex.org/W1982803213","https://openalex.org/W2001141328","https://openalex.org/W2003265371","https://openalex.org/W2008620264","https://openalex.org/W2011340259","https://openalex.org/W2040574334","https://openalex.org/W2040956707","https://openalex.org/W2043469923","https://openalex.org/W2050583899","https://openalex.org/W2066692087","https://openalex.org/W2083086638","https://openalex.org/W2084809122","https://openalex.org/W2146530408","https://openalex.org/W2147330086","https://openalex.org/W2148604310","https://openalex.org/W2152948207","https://openalex.org/W2155004936","https://openalex.org/W2156718197","https://openalex.org/W2160058983","https://openalex.org/W2163097311","https://openalex.org/W2163352248","https://openalex.org/W2167597870","https://openalex.org/W2264309847","https://openalex.org/W2500138264","https://openalex.org/W2534390616","https://openalex.org/W2977677513","https://openalex.org/W3037085755","https://openalex.org/W3124525317","https://openalex.org/W3142061005"],"related_works":["https://openalex.org/W2368605798","https://openalex.org/W2518037665","https://openalex.org/W2348524959","https://openalex.org/W2477036161","https://openalex.org/W2900415423","https://openalex.org/W1629152045","https://openalex.org/W3026405273","https://openalex.org/W2022035166","https://openalex.org/W4295138410","https://openalex.org/W2970256865"],"abstract_inverted_index":{"The":[0,95],"Popularity-Similarity":[1],"(PS)":[2],"model":[3,50],"sustains":[4],"that":[5,44,152,169],"clustering":[6],"and":[7,65,70,117,122,146],"hierarchy,":[8],"properties":[9],"common":[10],"to":[11,28,47,83,129],"most":[12,35],"networks":[13,73,82,148],"representing":[14],"complex":[15],"systems,":[16],"are":[17,45,86],"the":[18,34,66,103,108,115,124,150,161],"result":[19],"of":[20,68,110,119,126,163],"an":[21],"optimisation":[22],"process":[23],"in":[24,55,144,160,172],"which":[25],"nodes":[26,61],"seek":[27],"form":[29],"ties,":[30],"not":[31],"only":[32],"with":[33,42],"connected":[36],"(popular)":[37],"system":[38],"components,":[39],"but":[40,101],"also":[41],"those":[43],"similar":[46],"them.":[48],"This":[49,167],"has":[51],"a":[52,139,157],"geometric":[53,140,188],"interpretation":[54],"hyperbolic":[56,84,153],"space,":[57],"where":[58],"distances":[59],"between":[60,165],"abstract":[62],"popularity-similarity":[63],"trade-offs":[64],"formation":[67,162],"scale-free":[69],"strongly":[71],"clustered":[72],"can":[74],"be":[75,182],"accurately":[76],"described.":[77],"Current":[78],"methods":[79],"for":[80,135],"mapping":[81],"space":[85],"based":[87],"on":[88],"maximum":[89],"likelihood":[90],"estimations":[91],"or":[92,178],"manifold":[93],"learning.":[94],"former":[96],"approach":[97],"is":[98],"very":[99],"accurate":[100],"slow;":[102],"latter":[104],"improves":[105],"efficiency":[106],"at":[107],"cost":[109],"accuracy.":[111],"Here,":[112],"we":[113],"analyse":[114],"strengths":[116],"limitations":[118],"both":[120],"strategies":[121],"assess":[123],"advantages":[125],"combining":[127],"them":[128],"efficiently":[130],"embed":[131],"big":[132],"networks,":[133],"allowing":[134],"their":[136],"examination":[137],"from":[138],"perspective.":[141],"Our":[142],"evaluations":[143],"artificial":[145],"real":[147],"support":[149],"idea":[151],"distance":[154],"constraints":[155],"play":[156],"significant":[158],"role":[159],"edges":[164],"nodes.":[166],"means":[168],"challenging":[170],"problems":[171],"network":[173],"science,":[174],"like":[175],"link":[176],"prediction":[177],"community":[179],"detection,":[180],"could":[181],"more":[183],"easily":[184],"addressed":[185],"under":[186],"this":[187],"framework.":[189]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}