{"id":"https://openalex.org/W2784422906","doi":"https://doi.org/10.1007/s41468-019-00041-y","title":"On the geometrical properties of the coherent matching distance in 2D persistent homology","display_name":"On the geometrical properties of the coherent matching distance in 2D persistent homology","publication_year":2019,"publication_date":"2019-09-07","ids":{"openalex":"https://openalex.org/W2784422906","doi":"https://doi.org/10.1007/s41468-019-00041-y","mag":"2784422906"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-019-00041-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-019-00041-y","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.06636","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028179434","display_name":"Andrea Cerri","orcid":"https://orcid.org/0000-0003-3619-8963"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andrea Cerri","raw_affiliation_strings":["FST - Fom Software Technology, Cattolica (RN), Italy"],"affiliations":[{"raw_affiliation_string":"FST - Fom Software Technology, Cattolica (RN), Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039114247","display_name":"Marc Ethier","orcid":null},"institutions":[{"id":"https://openalex.org/I190270569","display_name":"Universit\u00e9 du Qu\u00e9bec en Abitibi-T\u00e9miscamingue","ror":"https://ror.org/02mqrrm75","country_code":"CA","type":"education","lineage":["https://openalex.org/I190270569","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Marc Ethier","raw_affiliation_strings":["UER en sciences de l\u2019\u00e9ducation, Universit\u00e9 du Qu\u00e9bec en Abitibi-T\u00e9miscamingue, Rouyn-Noranda, Canada"],"affiliations":[{"raw_affiliation_string":"UER en sciences de l\u2019\u00e9ducation, Universit\u00e9 du Qu\u00e9bec en Abitibi-T\u00e9miscamingue, Rouyn-Noranda, Canada","institution_ids":["https://openalex.org/I190270569"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045329472","display_name":"Patrizio Frosini","orcid":"https://orcid.org/0000-0001-6711-1926"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Patrizio Frosini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bologna, Bologna, Italy","Dipartimento di Matematica; Universit\u00e0 di Bologna; Bologna Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Dipartimento di Matematica; Universit\u00e0 di Bologna; Bologna Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028179434"],"corresponding_institution_ids":[],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01197605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"4","first_page":"381","last_page":"422"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9775999784469604,"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"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9484000205993652,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monodromy","display_name":"Monodromy","score":0.7590916156768799},{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.6268733143806458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6189205646514893},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.5933460593223572},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.5693120956420898},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49103808403015137},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4891203045845032},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4341168701648712},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4332055151462555},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4217890501022339},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4149995744228363},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.41396084427833557},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2611735761165619},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23266664147377014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15705245733261108}],"concepts":[{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.7590916156768799},{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.6268733143806458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6189205646514893},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.5933460593223572},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.5693120956420898},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49103808403015137},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4891203045845032},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4341168701648712},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4332055151462555},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4217890501022339},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4149995744228363},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.41396084427833557},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2611735761165619},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23266664147377014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15705245733261108},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s41468-019-00041-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-019-00041-y","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:1801.06636","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.06636","pdf_url":"https://arxiv.org/pdf/1801.06636","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"},{"id":"mag:2784422906","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1801.06636v2","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:arpi.unipi.it:11568/1264229","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1264229","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/704429","is_oa":true,"landing_page_url":"https://link.springer.com/article/10.1007/s41468-019-00041-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1801.06636","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1801.06636","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.06636","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.06636","pdf_url":"https://arxiv.org/pdf/1801.06636","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W14199916","https://openalex.org/W33492292","https://openalex.org/W430125058","https://openalex.org/W1595915706","https://openalex.org/W1798988541","https://openalex.org/W1993498347","https://openalex.org/W1993818927","https://openalex.org/W1999826929","https://openalex.org/W2008748451","https://openalex.org/W2014209644","https://openalex.org/W2037613900","https://openalex.org/W2045372952","https://openalex.org/W2057619357","https://openalex.org/W2064704056","https://openalex.org/W2069314032","https://openalex.org/W2146970245","https://openalex.org/W2185147444","https://openalex.org/W2301278947","https://openalex.org/W2335810221","https://openalex.org/W2511392967","https://openalex.org/W2950584733","https://openalex.org/W2953271268","https://openalex.org/W2962690095","https://openalex.org/W3013843370","https://openalex.org/W4211095002","https://openalex.org/W4251980118"],"related_works":["https://openalex.org/W2107172985","https://openalex.org/W2951536410","https://openalex.org/W2969351507","https://openalex.org/W2901498449","https://openalex.org/W3001573867","https://openalex.org/W2096181630","https://openalex.org/W2968292246","https://openalex.org/W2144044408","https://openalex.org/W2991394196","https://openalex.org/W1529512952","https://openalex.org/W2810919795","https://openalex.org/W2329919632","https://openalex.org/W3093000527","https://openalex.org/W149834528","https://openalex.org/W2046305987","https://openalex.org/W2740784573","https://openalex.org/W151084626","https://openalex.org/W3010869111","https://openalex.org/W1585855204","https://openalex.org/W2153859079"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
