{"id":"https://openalex.org/W4382599626","doi":"https://doi.org/10.1007/s41468-023-00119-8","title":"Stable volumes for persistent homology","display_name":"Stable volumes for persistent homology","publication_year":2023,"publication_date":"2023-05-04","ids":{"openalex":"https://openalex.org/W4382599626","doi":"https://doi.org/10.1007/s41468-023-00119-8"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-023-00119-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41468-023-00119-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00119-8.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00119-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053450580","display_name":"Ippei Obayashi","orcid":"https://orcid.org/0000-0002-7207-7280"},"institutions":[{"id":"https://openalex.org/I136446963","display_name":"Okayama University of Science","ror":"https://ror.org/05aevyc10","country_code":"JP","type":"education","lineage":["https://openalex.org/I136446963"]},{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ippei Obayashi","raw_affiliation_strings":["Center for Artificial Intelligence and Mathematical Data Science, Okayama University, 3-1-1 Tsushima-naka, Kita-ku, Okayama, 700-8530, Okayama, Japan","Center for Artificial Intelligence and Mathematical Data Science, Okayama University, Okayama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-7207-7280","affiliations":[{"raw_affiliation_string":"Center for Artificial Intelligence and Mathematical Data Science, Okayama University, 3-1-1 Tsushima-naka, Kita-ku, Okayama, 700-8530, Okayama, Japan","institution_ids":["https://openalex.org/I163770644","https://openalex.org/I136446963"]},{"raw_affiliation_string":"Center for Artificial Intelligence and Mathematical Data Science, Okayama University, Okayama, Japan","institution_ids":["https://openalex.org/I163770644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053450580"],"corresponding_institution_ids":["https://openalex.org/I136446963","https://openalex.org/I163770644"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":2.2766,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89991001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":"4","first_page":"671","last_page":"706"},"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":0.9825999736785889,"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":0.9703999757766724,"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/interpretability","display_name":"Interpretability","score":0.7887099981307983},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.7877533435821533},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.49574121832847595},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.494005024433136},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.46601465344429016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44984883069992065},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.42612266540527344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42352578043937683},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3493788242340088},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16996657848358154},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.16178256273269653},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.14591696858406067},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09607326984405518},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0955343246459961}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.7887099981307983},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.7877533435821533},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.49574121832847595},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.494005024433136},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.46601465344429016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44984883069992065},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.42612266540527344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42352578043937683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3493788242340088},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16996657848358154},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.16178256273269653},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.14591696858406067},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09607326984405518},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0955343246459961},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s41468-023-00119-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41468-023-00119-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00119-8.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s41468-023-00119-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41468-023-00119-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00119-8.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1099181703","display_name":"\u30d1\u30fc\u30b7\u30b9\u30c6\u30f3\u30c8\u30db\u30e2\u30ed\u30b8\u30fc\u306b\u3088\u308b\u4f4d\u76f8\u9ad8\u6b21\u69cb\u9020\u62bd\u51fa\u624b\u6cd5\u958b\u767a","funder_award_id":"JPMJPR1923","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G3811630638","display_name":null,"funder_award_id":"JP19H00834","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4039713961","display_name":null,"funder_award_id":"JP20H05884","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4146554736","display_name":null,"funder_award_id":"JPMJMI18G3","funder_id":"https://openalex.org/F4320338243","funder_display_name":"JST-Mirai Program"},{"id":"https://openalex.org/G4528560407","display_name":"\u5305\u62ec\u7684\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u30c7\u30fc\u30bf\u89e3\u6790\u5171\u901a\u6570\u7406\u57fa\u76e4\u306e\u5b9f\u73fe","funder_award_id":"JPMJMI18G3","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G5218506281","display_name":"\u30bd\u30d5\u30c8\u30de\u30bf\u30fc\u8a18\u8ff0\u8a00\u8a9e\u306e\u5275\u9020\u306b\u5411\u3051\u305f\u4f4d\u76f8\u7684\u30c7\u30fc\u30bf\u89e3\u6790\u7406\u8ad6\u306e\u69cb\u7bc9","funder_award_id":"JPMJCR15D3","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G6391693064","display_name":null,"funder_award_id":"19KK0068","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6718509927","display_name":null,"funder_award_id":"CREST","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338243","display_name":"JST-Mirai Program","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382599626.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1986644591","https://openalex.org/W1991566301","https://openalex.org/W2029958010","https://openalex.org/W2037613900","https://openalex.org/W2053544098","https://openalex.org/W2056761334","https://openalex.org/W2069314032","https://openalex.org/W2078290150","https://openalex.org/W2104339857","https://openalex.org/W2107385756","https://openalex.org/W2128510287","https://openalex.org/W2135830218","https://openalex.org/W2144044408","https://openalex.org/W2227949165","https://openalex.org/W2424211690","https://openalex.org/W2611902809","https://openalex.org/W2613392566","https://openalex.org/W2897738333","https://openalex.org/W2950922090","https://openalex.org/W2963904897","https://openalex.org/W2993236549","https://openalex.org/W3013843370","https://openalex.org/W3094534563","https://openalex.org/W3101547865","https://openalex.org/W3104309020","https://openalex.org/W3111112298","https://openalex.org/W3138338816","https://openalex.org/W3144579216","https://openalex.org/W3196890582","https://openalex.org/W3198723315","https://openalex.org/W4200632538","https://openalex.org/W4255383393"],"related_works":["https://openalex.org/W2886923060","https://openalex.org/W2887690685","https://openalex.org/W3120766012","https://openalex.org/W3119689987","https://openalex.org/W4287394697","https://openalex.org/W3137224016","https://openalex.org/W3128725485","https://openalex.org/W3204835693","https://openalex.org/W4295883750","https://openalex.org/W4206186921"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"proposes":[3],"a":[4,8,15,49,93,99,120],"stable":[5,9,16,81,84,100,114,133],"volume":[6,10,101,109],"and":[7,32,73,83,116,129,135],"variant,":[11],"referred":[12],"to":[13,38,44,66,88],"as":[14],"sub-volume,":[17],"for":[18,56],"more":[19],"reliable":[20],"data":[21,57,121],"analysis":[22,58,122],"using":[23,59],"persistent":[24,60,127],"homology.":[25],"In":[26,78],"prior":[27],"research,":[28],"an":[29,107],"optimal":[30,108],"cycle":[31],"similar":[33],"ideas":[34],"have":[35],"been":[36],"proposed":[37,87],"identify":[39],"the":[40,62,71,76,103],"homological":[41],"structure":[42],"corresponding":[43],"each":[45],"birth-death":[46],"pair":[47],"in":[48],"persistence":[50],"diagram.":[51],"While":[52],"this":[53,79,90],"is":[54,102],"helpful":[55],"homology,":[61,128],"results":[63],"are":[64,86],"sensitive":[65],"noise.":[67,111],"The":[68],"sensitivity":[69],"affects":[70],"reliability":[72],"interpretability":[74],"of":[75,106,132],"analysis.":[77],"paper,":[80],"volumes":[82,115,134],"sub-volumes":[85,117],"solve":[89],"problem.":[91],"For":[92],"special":[94],"case,":[95],"we":[96],"prove":[97],"that":[98],"robust":[104],"part":[105],"against":[110],"We":[112],"implemented":[113],"on":[118,126],"HomCloud,":[119],"software":[123],"package":[124],"based":[125],"show":[130],"examples":[131],"sub-volumes.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}