{"id":"https://openalex.org/W3163616925","doi":"https://doi.org/10.1007/s41468-022-00091-9","title":"Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces","display_name":"Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces","publication_year":2022,"publication_date":"2022-04-21","ids":{"openalex":"https://openalex.org/W3163616925","doi":"https://doi.org/10.1007/s41468-022-00091-9","mag":"3163616925"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-022-00091-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-022-00091-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2012.10514","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074513715","display_name":"Peter Bubenik","orcid":"https://orcid.org/0000-0001-5262-2133"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Bubenik","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, USA"],"raw_orcid":"https://orcid.org/0000-0001-5262-2133","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027032177","display_name":"Alex Elchesen","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Elchesen","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074513715"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.5916,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84300475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"6","issue":"4","first_page":"429","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9904999732971191,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/persistence","display_name":"Persistence (discontinuity)","score":0.8252979516983032},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5461188554763794},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5052090287208557},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3457750678062439},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.08659380674362183}],"concepts":[{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.8252979516983032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5461188554763794},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5052090287208557},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3457750678062439},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.08659380674362183},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s41468-022-00091-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-022-00091-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2012.10514","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.10514","pdf_url":"https://arxiv.org/pdf/2012.10514","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:2012.10514","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.10514","pdf_url":"https://arxiv.org/pdf/2012.10514","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":[{"id":"https://openalex.org/G4991729075","display_name":null,"funder_award_id":"W911NF-18-1-0307","funder_id":"https://openalex.org/F4320338295","funder_display_name":"Army Research Laboratory"},{"id":"https://openalex.org/G6719094642","display_name":null,"funder_award_id":"1764406","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7444898818","display_name":null,"funder_award_id":"594594","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W175806227","https://openalex.org/W583356579","https://openalex.org/W1585160083","https://openalex.org/W1671098680","https://openalex.org/W1969883941","https://openalex.org/W2028699797","https://openalex.org/W2034220622","https://openalex.org/W2037613900","https://openalex.org/W2037817770","https://openalex.org/W2044216420","https://openalex.org/W2056544335","https://openalex.org/W2058582101","https://openalex.org/W2064090547","https://openalex.org/W2096736341","https://openalex.org/W2120506491","https://openalex.org/W2122101130","https://openalex.org/W2498184556","https://openalex.org/W2588688245","https://openalex.org/W2725792925","https://openalex.org/W2892816815","https://openalex.org/W2942078528","https://openalex.org/W2963300120","https://openalex.org/W2965840646","https://openalex.org/W2978550931","https://openalex.org/W2993904890","https://openalex.org/W3038254990","https://openalex.org/W3038980771","https://openalex.org/W3092727470","https://openalex.org/W3094622830","https://openalex.org/W3103850685","https://openalex.org/W3185924222","https://openalex.org/W3202072791","https://openalex.org/W3211227960","https://openalex.org/W4242523994","https://openalex.org/W4252841308","https://openalex.org/W4254241693","https://openalex.org/W4254660365","https://openalex.org/W4280609935","https://openalex.org/W4287077600","https://openalex.org/W4288028557","https://openalex.org/W4310493170","https://openalex.org/W4388787252","https://openalex.org/W6604012913","https://openalex.org/W6789394388"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W1995895161","https://openalex.org/W2007980826","https://openalex.org/W2352063914","https://openalex.org/W2047377442","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
