{"id":"https://openalex.org/W7104574847","doi":"https://doi.org/10.1145/3747199.3747561","title":"Additive partial matchings for persistent homology","display_name":"Additive partial matchings for persistent homology","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W7104574847","doi":"https://doi.org/10.1145/3747199.3747561"},"language":"en","primary_location":{"id":"doi:10.1145/3747199.3747561","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747561","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747561","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747561","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Rocio Gonzalez-Diaz","orcid":"https://orcid.org/0000-0001-9937-0033"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Rocio Gonzalez-Diaz","raw_affiliation_strings":["Depto. de Matem\u00e1tica Aplicada I (MA1) e Instituto Universitario de la Universidad de Sevilla (IMUS), Universidad de Sevilla, Seville, Spain"],"raw_orcid":"https://orcid.org/0000-0001-9937-0033","affiliations":[{"raw_affiliation_string":"Depto. de Matem\u00e1tica Aplicada I (MA1) e Instituto Universitario de la Universidad de Sevilla (IMUS), Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Manuel Soriano-Trigueros","orcid":"https://orcid.org/0000-0003-2449-1433"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Manuel Soriano-Trigueros","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria"],"raw_orcid":"https://orcid.org/0000-0003-2449-1433","affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":null,"display_name":"Alvaro Torras-Casas","orcid":"https://orcid.org/0000-0002-5099-6294"},"institutions":[{"id":"https://openalex.org/I154526488","display_name":"Inserm","ror":"https://ror.org/02vjkv261","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210088668","display_name":"Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement","ror":"https://ror.org/003vg9w96","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210088668"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"id":"https://openalex.org/I4387154308","display_name":"Centre de Recherche \u00c9pid\u00e9miologie et Statistique","ror":"https://ror.org/00t9egj41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I154526488","https://openalex.org/I204730241","https://openalex.org/I4210088668","https://openalex.org/I4210091279","https://openalex.org/I4387154308"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alvaro Torras-Casas","raw_affiliation_strings":["Inserm, INRAE, Centre for Research in Epidemiology and Statistics (CRESS), Universit\u00e9 Paris Cit\u00e9 and Universit\u00e9 Sorbonne Paris Nord, Paris, France"],"raw_orcid":"https://orcid.org/0000-0002-5099-6294","affiliations":[{"raw_affiliation_string":"Inserm, INRAE, Centre for Research in Epidemiology and Statistics (CRESS), Universit\u00e9 Paris Cit\u00e9 and Universit\u00e9 Sorbonne Paris Nord, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4387154308","https://openalex.org/I4210091437","https://openalex.org/I4210091279","https://openalex.org/I39804081","https://openalex.org/I154526488","https://openalex.org/I4210088668"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5882218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"188","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9984999895095825,"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":0.9984999895095825,"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":0.0005000000237487257,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.9002000093460083},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.7452999949455261},{"id":"https://openalex.org/keywords/persistence","display_name":"Persistence (discontinuity)","score":0.717199981212616},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5037999749183655},{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.49810001254081726},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.46160000562667847},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4023999869823456}],"concepts":[{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.9002000093460083},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.7452999949455261},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.717199981212616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6355999708175659},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5037999749183655},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.49810001254081726},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.46160000562667847},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43700000643730164},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.37869998812675476},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.35429999232292175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3393000066280365},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32030001282691956},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C888380","wikidata":"https://www.wikidata.org/wiki/Q2427787","display_name":"Persistent data structure","level":2,"score":0.2955999970436096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28540000319480896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.259799987077713}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3747199.3747561","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747561","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747561","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:pub.research-explorer.ista.ac.at:20729","is_oa":true,"landing_page_url":"https://research-explorer.ista.ac.at/record/20729","pdf_url":null,"source":{"id":"https://openalex.org/S7407055285","display_name":"Institute of Science and Technology Austria","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. Additive partial matchings for persistent homology. In: <i>Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation</i>. Association for Computing Machinery; 2025:188-196. doi:<a href=\"https://doi.org/10.1145/3747199.3747561\">10.1145/3747199.3747561</a>","raw_type":"http://purl.org/coar/resource_type/c_5794"}],"best_oa_location":{"id":"doi:10.1145/3747199.3747561","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747561","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747561","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.7914623618125916,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G643966982","display_name":null,"funder_award_id":"ANR-22-CPJ1-0047-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8087430050","display_name":null,"funder_award_id":"101070028","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7104574847.pdf","grobid_xml":"https://content.openalex.org/works/W7104574847.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1498192489","https://openalex.org/W1596721197","https://openalex.org/W2112471150","https://openalex.org/W2144044408","https://openalex.org/W2546347714","https://openalex.org/W2734095886","https://openalex.org/W2964292054","https://openalex.org/W3120766012","https://openalex.org/W3214652477","https://openalex.org/W4255383393","https://openalex.org/W4319072799","https://openalex.org/W4386883159"],"related_works":[],"abstract_inverted_index":{"Persistence":[0],"modules":[1],"(defined":[2],"as":[3],"a":[4,15,47,55],"sequence":[5],"of":[6,54,72],"vector":[7],"spaces":[8],"and":[9,27,76],"linear":[10],"maps":[11,35,37,52],"between":[12,38],"them)":[13],"are":[14,23,43],"key":[16],"tool":[17],"in":[18],"topological":[19],"data":[20],"analysis.":[21],"They":[22],"easy":[24,62],"to":[25,29,63],"interpret":[26],"fast":[28],"compute.":[30],"However,":[31],"when":[32],"considering":[33],"persistence":[34,39,51,74],"(i.e.":[36],"modules),":[40],"these":[41],"properties":[42],"lost.":[44],"We":[45],"propose":[46],"new":[48],"invariant":[49],"for":[50],"consisting":[53],"partial":[56],"matching":[57],"such":[58],"that:":[59],"it":[60,65],"is":[61,66],"interpret,":[64],"more":[67],"discriminative":[68],"than":[69],"the":[70,73],"image":[71],"map,":[75],"can":[77],"be":[78],"calculated":[79],"with":[80],"cubical":[81],"complexity.":[82]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-11-10T00:00:00"}
