{"id":"https://openalex.org/W4412995611","doi":"https://doi.org/10.3390/axioms14080599","title":"A Logifold Structure for Measure Space","display_name":"A Logifold Structure for Measure Space","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W4412995611","doi":"https://doi.org/10.3390/axioms14080599"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14080599","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080599","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14080599","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113204634","display_name":"Inkee Jung","orcid":"https://orcid.org/0009-0009-5921-7769"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Inkee Jung","raw_affiliation_strings":["Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052908802","display_name":"Siu-Cheong Lau","orcid":"https://orcid.org/0009-0003-5858-3632"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Siu-Cheong Lau","raw_affiliation_strings":["Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052908802"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2408966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"8","first_page":"599","last_page":"599"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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/T11106","display_name":"Data Management and Algorithms","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9751999974250793,"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/measure","display_name":"Measure (data warehouse)","score":0.7293957471847534},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5789362192153931},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3472873866558075},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11457115411758423},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.050142258405685425}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7293957471847534},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5789362192153931},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3472873866558075},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11457115411758423},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.050142258405685425}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14080599","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080599","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:23eee8fa845b4e63961ae762acd2df2f","is_oa":true,"landing_page_url":"https://doaj.org/article/23eee8fa845b4e63961ae762acd2df2f","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":"Axioms, Vol 14, Iss 8, p 599 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14080599","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080599","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1557324374","https://openalex.org/W1582706191","https://openalex.org/W1988790447","https://openalex.org/W2007339694","https://openalex.org/W2032521963","https://openalex.org/W2079325629","https://openalex.org/W2080803951","https://openalex.org/W2087841994","https://openalex.org/W2093717447","https://openalex.org/W2144044408","https://openalex.org/W2149914169","https://openalex.org/W2150884987","https://openalex.org/W2160185408","https://openalex.org/W2162543094","https://openalex.org/W2167917621","https://openalex.org/W2169139688","https://openalex.org/W2194775991","https://openalex.org/W2334621812","https://openalex.org/W2498672755","https://openalex.org/W2550469453","https://openalex.org/W2553625606","https://openalex.org/W2912934387","https://openalex.org/W2919115771","https://openalex.org/W2970602317","https://openalex.org/W3013843370","https://openalex.org/W3039273193","https://openalex.org/W3105637493","https://openalex.org/W4206613742","https://openalex.org/W4289261852","https://openalex.org/W4308112567","https://openalex.org/W4315706600","https://openalex.org/W4362714813","https://openalex.org/W4386242137","https://openalex.org/W4402346058","https://openalex.org/W4405709683","https://openalex.org/W6786823094","https://openalex.org/W6848653560"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W4255837520","https://openalex.org/W2376932109","https://openalex.org/W2348623473"],"abstract_inverted_index":{"In":[0,54],"this":[1],"paper,":[2],"we":[3],"develop":[4],"a":[5,17,21,27,50,52,77],"geometric":[6],"formulation":[7,71],"of":[8,37,42,76],"datasets.":[9],"The":[10],"key":[11],"novel":[12],"idea":[13],"is":[14],"to":[15,19,72,80],"formulate":[16],"dataset":[18,78],"be":[20],"fuzzy":[22,43,74],"topological":[23],"measure":[24],"space":[25,33,51],"as":[26],"global":[28],"object":[29],"and":[30,79],"equip":[31],"the":[32,56,69],"with":[34,63],"an":[35],"atlas":[36],"local":[38],"charts":[39,57],"using":[40],"graphs":[41],"linear":[44],"logical":[45],"functions.":[46],"We":[47,67],"call":[48],"such":[49],"logifold.":[53],"applications,":[55],"are":[58],"constructed":[59],"by":[60],"machine":[61],"learning":[62],"neural":[64],"network":[65],"models.":[66],"implement":[68],"logifold":[70],"find":[73],"domains":[75],"improve":[81],"accuracy":[82],"in":[83],"data":[84],"classification":[85],"problems.":[86]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}