{"id":"https://openalex.org/W4381795782","doi":"https://doi.org/10.48550/arxiv.2306.12984","title":"Inferring the finest pattern of mutual independence from data","display_name":"Inferring the finest pattern of mutual independence from data","publication_year":2023,"publication_date":"2023-06-22","ids":{"openalex":"https://openalex.org/W4381795782","doi":"https://doi.org/10.48550/arxiv.2306.12984"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2306.12984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2306.12984","pdf_url":"https://arxiv.org/pdf/2306.12984","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2306.12984","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086598090","display_name":"Guillaume Marrelec","orcid":"https://orcid.org/0000-0003-1046-3562"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marrelec, G.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044135440","display_name":"Alain Giron","orcid":"https://orcid.org/0000-0003-0888-6312"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giron, A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13297","display_name":"History and advancements in chemistry","score":0.33219999074935913,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13297","display_name":"History and advancements in chemistry","score":0.33219999074935913,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6599894165992737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3638448715209961},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18977051973342896},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17016470432281494}],"concepts":[{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6599894165992737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3638448715209961},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18977051973342896},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17016470432281494}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2306.12984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2306.12984","pdf_url":"https://arxiv.org/pdf/2306.12984","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2306.12984","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2306.12984","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2306.12984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2306.12984","pdf_url":"https://arxiv.org/pdf/2306.12984","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4381795782.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W3125750421","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"For":[0],"a":[1,23,72,89,142],"random":[2],"variable":[3],"$X$,":[4,49],"we":[5,29,50,108],"are":[6,82],"interested":[7],"in":[8],"the":[9,38,60,80,99,114],"blind":[10],"extraction":[11],"of":[12,26,40,43,62,65,88,102,105,116,119],"its":[13,132],"finest":[14],"mutual":[15],"independence":[16,27,45],"pattern":[17],"$\u03bc(":[18,53,110],"X":[19,34,54,67,77,96,111,122],")$.":[20,68,123],"We":[21,69,136],"introduce":[22],"specific":[24],"kind":[25],"that":[28,46,52],"call":[30],"dichotomic.":[31],"If":[32,93],"$\u0394(":[33,66,76],")$":[35,55,78,97,112],"stands":[36],"for":[37,48],"set":[39,101],"all":[41,63,117],"patterns":[42,104,118],"dichotomic":[44,106],"hold":[47],"show":[51],"can":[56],"be":[57],"obtained":[58],"as":[59,113,145,147],"intersection":[61,115],"elements":[64],"then":[70],"propose":[71],"method":[73,125],"to":[74,141,148],"estimate":[75,109],"when":[79],"data":[81],"independent":[83],"and":[84,134],"identically":[85],"(i.i.d.)":[86],"realizations":[87],"multivariate":[90],"normal":[91],"distribution.":[92],"$\\hat\u0394":[94,120],"(":[95,121],"is":[98,126],"estimated":[100],"valid":[103],"independence,":[107],"The":[124],"tested":[127],"on":[128],"simulated":[129],"data,":[130],"showing":[131],"advantages":[133],"limits.":[135],"also":[137],"consider":[138],"an":[139],"application":[140],"toy":[143],"example":[144],"well":[146],"experimental":[149],"data.":[150]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
