{"id":"https://openalex.org/W4315647337","doi":"https://doi.org/10.1007/s41109-022-00529-0","title":"Convergence properties of optimal transport-based temporal hypergraphs","display_name":"Convergence properties of optimal transport-based temporal hypergraphs","publication_year":2023,"publication_date":"2023-01-11","ids":{"openalex":"https://openalex.org/W4315647337","doi":"https://doi.org/10.1007/s41109-022-00529-0"},"language":"en","primary_location":{"id":"doi:10.1007/s41109-022-00529-0","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41109-022-00529-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41109-022-00529-0.pdf","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s41109-022-00529-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028292634","display_name":"Diego Baptista","orcid":"https://orcid.org/0000-0003-2994-0138"},"institutions":[{"id":"https://openalex.org/I4210135521","display_name":"Max Planck Institute for Intelligent Systems","ror":"https://ror.org/04fq9j139","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210135521"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Diego Baptista","raw_affiliation_strings":["Max Planck Institute for Intelligent Systems, Cyber Valley, 72076, T\u00fcebingen, Germany","Max Planck Institute for Intelligent Systems, Cyber Valley, T\u00fcebingen, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Intelligent Systems, Cyber Valley, 72076, T\u00fcebingen, Germany","institution_ids":["https://openalex.org/I4210135521"]},{"raw_affiliation_string":"Max Planck Institute for Intelligent Systems, Cyber Valley, T\u00fcebingen, Germany","institution_ids":["https://openalex.org/I4210135521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004656270","display_name":"Caterina De Bacco","orcid":"https://orcid.org/0000-0002-8634-0211"},"institutions":[{"id":"https://openalex.org/I4210135521","display_name":"Max Planck Institute for Intelligent Systems","ror":"https://ror.org/04fq9j139","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210135521"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Caterina De Bacco","raw_affiliation_strings":["Max Planck Institute for Intelligent Systems, Cyber Valley, 72076, T\u00fcebingen, Germany","Max Planck Institute for Intelligent Systems, Cyber Valley, T\u00fcebingen, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Intelligent Systems, Cyber Valley, 72076, T\u00fcebingen, Germany","institution_ids":["https://openalex.org/I4210135521"]},{"raw_affiliation_string":"Max Planck Institute for Intelligent Systems, Cyber Valley, T\u00fcebingen, Germany","institution_ids":["https://openalex.org/I4210135521"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028292634"],"corresponding_institution_ids":["https://openalex.org/I4210135521"],"apc_list":{"value":790,"currency":"GBP","value_usd":969},"apc_paid":{"value":790,"currency":"GBP","value_usd":969},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00302758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9765999913215637,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/hypergraph","display_name":"Hypergraph","score":0.8159195780754089},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7251147627830505},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6314014196395874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5859611630439758},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4888297915458679},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4807400703430176},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4711317718029022},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4416589140892029},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3796856105327606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3107938766479492},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1475396752357483}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8159195780754089},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7251147627830505},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6314014196395874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5859611630439758},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4888297915458679},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4807400703430176},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4711317718029022},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4416589140892029},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3796856105327606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3107938766479492},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1475396752357483},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s41109-022-00529-0","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41109-022-00529-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41109-022-00529-0.pdf","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":"pmh:oai:doaj.org/article:26d63e149beb4c0b877958839b7679f0","is_oa":true,"landing_page_url":"https://doaj.org/article/26d63e149beb4c0b877958839b7679f0","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Network Science, Vol 8, Iss 1, Pp 1-16 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s41109-022-00529-0","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41109-022-00529-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41109-022-00529-0.pdf","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":[{"id":"https://openalex.org/F4320317967","display_name":"International Max Planck Research School for Environmental, Cellular and Molecular Microbiology","ror":null},{"id":"https://openalex.org/F4320327553","display_name":"International Max Planck Research School for Advanced Methods in Process and Systems Engineering","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4315647337.pdf","grobid_xml":"https://content.openalex.org/works/W4315647337.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1661179413","https://openalex.org/W1999112138","https://openalex.org/W2003810228","https://openalex.org/W2018055325","https://openalex.org/W2050551798","https://openalex.org/W2075286470","https://openalex.org/W2090002890","https://openalex.org/W2313657232","https://openalex.org/W2406001311","https://openalex.org/W2616513484","https://openalex.org/W2624647128","https://openalex.org/W2883165869","https://openalex.org/W2951223048","https://openalex.org/W2976540855","https://openalex.org/W2981252818","https://openalex.org/W2985748879","https://openalex.org/W3015370229","https://openalex.org/W3023704603","https://openalex.org/W3033513666","https://openalex.org/W3035086707","https://openalex.org/W3035258118","https://openalex.org/W3098411088","https://openalex.org/W3099736351","https://openalex.org/W3107496606","https://openalex.org/W3118095265","https://openalex.org/W3181726346","https://openalex.org/W3186157708","https://openalex.org/W3199328832","https://openalex.org/W4206471589","https://openalex.org/W4226109488","https://openalex.org/W4233762729","https://openalex.org/W4255839052"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W3138003926","https://openalex.org/W4300037846","https://openalex.org/W1630514295","https://openalex.org/W1537073411","https://openalex.org/W2963081352","https://openalex.org/W4376608938","https://openalex.org/W4288275998","https://openalex.org/W2472555608","https://openalex.org/W4214498971"],"abstract_inverted_index":{"Abstract":[0],"We":[1,21,61,77,89],"present":[2],"a":[3],"method":[4,92],"to":[5,17,67],"extract":[6],"temporal":[7],"hypergraphs":[8],"from":[9,29,43,86,103],"sequences":[10],"of":[11,32,34,73,100,105],"2-dimensional":[12],"functions":[13],"obtained":[14],"as":[15],"solutions":[16,28],"Optimal":[18],"Transport":[19],"problems.":[20],"investigate":[22],"optimality":[23],"principles":[24],"exhibited":[25],"by":[26,96],"these":[27,50,64],"the":[30,57,98],"point":[31],"view":[33],"hypergraph":[35],"structures.":[36],"Discrete":[37],"properties":[38,99],"follow":[39],"patterns":[40,51],"that":[41,80],"differ":[42],"those":[44],"characterizing":[45],"their":[46,68],"continuous":[47],"counterparts.":[48],"Analyzing":[49],"can":[52],"bring":[53],"new":[54],"insights":[55],"into":[56],"studied":[58],"transportation":[59,82],"principles.":[60],"also":[62],"compare":[63],"higher-order":[65],"structures":[66],"network":[69],"counterparts":[70],"in":[71],"terms":[72],"standard":[74],"graph":[75],"properties.":[76],"give":[78],"evidence":[79],"some":[81],"schemes":[83],"might":[84],"benefit":[85],"hypernetwork":[87],"representations.":[88],"demonstrate":[90],"our":[91],"on":[93],"real":[94,106],"data":[95],"analyzing":[97],"hypernetworks":[101],"extracted":[102],"images":[104],"systems.":[107]},"counts_by_year":[],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
