{"id":"https://openalex.org/W2906011738","doi":"https://doi.org/10.1137/18m1234631","title":"Variance Reduction for Estimation of Shapley Effects and Adaptation to Unknown Input Distribution","display_name":"Variance Reduction for Estimation of Shapley Effects and Adaptation to Unknown Input Distribution","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2906011738","doi":"https://doi.org/10.1137/18m1234631","mag":"2906011738"},"language":"en","primary_location":{"id":"doi:10.1137/18m1234631","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1234631","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.09168","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032830767","display_name":"Baptiste Broto","orcid":"https://orcid.org/0000-0002-1333-2149"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Baptiste Broto","raw_affiliation_strings":["LI3A (CEA, LIST) - Intelligence Artificielle et Apprentissage Automatique (CEA, LIST) (Artificial Intelligence and Automatic Learning (LI3A)\r\n91191 - Gif sur Yvette cedex\r\nanciennement Laboratoire Analyse des Donn\u00e9es et Intelligence des Syst\u00e8mes (LADIS), Laboratoire Information Mod\u00e8les et Apprentissage (LIMA), Laboratoire Intelligence Multi-capteurs et Apprentissage (LIMA) - France)"],"raw_orcid":"https://orcid.org/0000-0002-1333-2149","affiliations":[{"raw_affiliation_string":"LI3A (CEA, LIST) - Intelligence Artificielle et Apprentissage Automatique (CEA, LIST) (Artificial Intelligence and Automatic Learning (LI3A)\r\n91191 - Gif sur Yvette cedex\r\nanciennement Laboratoire Analyse des Donn\u00e9es et Intelligence des Syst\u00e8mes (LADIS), Laboratoire Information Mod\u00e8les et Apprentissage (LIMA), Laboratoire Intelligence Multi-capteurs et Apprentissage (LIMA) - France)","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210085861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030279456","display_name":"Fran\u00e7ois Bachoc","orcid":"https://orcid.org/0000-0001-5336-5714"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405259414","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Bachoc","raw_affiliation_strings":["IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)"],"raw_orcid":"https://orcid.org/0000-0001-5336-5714","affiliations":[{"raw_affiliation_string":"IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","institution_ids":["https://openalex.org/I84500057","https://openalex.org/I134560555","https://openalex.org/I196454796"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064241978","display_name":"Marine Depecker","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marine Depecker","raw_affiliation_strings":["LI3A (CEA, LIST) - Intelligence Artificielle et Apprentissage Automatique (CEA, LIST) (Artificial Intelligence and Automatic Learning (LI3A)\r\n91191 - Gif sur Yvette cedex\r\nanciennement Laboratoire Analyse des Donn\u00e9es et Intelligence des Syst\u00e8mes (LADIS), Laboratoire Information Mod\u00e8les et Apprentissage (LIMA), Laboratoire Intelligence Multi-capteurs et Apprentissage (LIMA) - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LI3A (CEA, LIST) - Intelligence Artificielle et Apprentissage Automatique (CEA, LIST) (Artificial Intelligence and Automatic Learning (LI3A)\r\n91191 - Gif sur Yvette cedex\r\nanciennement Laboratoire Analyse des Donn\u00e9es et Intelligence des Syst\u00e8mes (LADIS), Laboratoire Information Mod\u00e8les et Apprentissage (LIMA), Laboratoire Intelligence Multi-capteurs et Apprentissage (LIMA) - France)","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210085861"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032830767"],"corresponding_institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210085861"],"apc_list":null,"apc_paid":null,"fwci":5.9471,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.97312872,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"8","issue":"2","first_page":"693","last_page":"716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9991000294685364,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5843005776405334},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5609405040740967},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5416474938392639},{"id":"https://openalex.org/keywords/adaptation","display_name":"Adaptation (eye)","score":0.5200405120849609},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5059980750083923},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.46096181869506836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.438438355922699},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.42983344197273254},{"id":"https://openalex.org/keywords/variance-reduction","display_name":"Variance reduction","score":0.41483357548713684},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3445472717285156},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33609694242477417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32937783002853394},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.24372103810310364},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.207200288772583},{"id":"https://openalex.org/keywords/management","display_name":"Management","score":0.12475275993347168},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.10983508825302124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.076107919216156}],"concepts":[{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5843005776405334},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5609405040740967},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5416474938392639},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.5200405120849609},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5059980750083923},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.46096181869506836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.438438355922699},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.42983344197273254},{"id":"https://openalex.org/C62644790","wikidata":"https://www.wikidata.org/wiki/Q3454689","display_name":"Variance reduction","level":3,"score":0.41483357548713684},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3445472717285156},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33609694242477417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32937783002853394},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.24372103810310364},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.207200288772583},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.12475275993347168},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.10983508825302124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.076107919216156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1234631","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1234631","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1812.09168","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.09168","pdf_url":"https://arxiv.org/pdf/1812.09168","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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01962010v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01962010","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-01962010","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-01962010v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01962010","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM/ASA Journal on Uncertainty Quantification, 2020, 8, pp.693-716. ⟨10.1137/18M1234631⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.09168","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.09168","pdf_url":"https://arxiv.org/pdf/1812.09168","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323911","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W573734862","https://openalex.org/W1510052597","https://openalex.org/W1522394564","https://openalex.org/W1584961538","https://openalex.org/W1938308181","https://openalex.org/W1979362125","https://openalex.org/W1994828266","https://openalex.org/W2011587268","https://openalex.org/W2014911719","https://openalex.org/W2018044188","https://openalex.org/W2025175130","https://openalex.org/W2026645785","https://openalex.org/W2060003311","https://openalex.org/W2065536623","https://openalex.org/W2073231946","https://openalex.org/W2116572416","https://openalex.org/W2134636349","https://openalex.org/W2149426898","https://openalex.org/W2167563801","https://openalex.org/W2256092222","https://openalex.org/W2282821441","https://openalex.org/W2436401953","https://openalex.org/W2460245398","https://openalex.org/W2518039540","https://openalex.org/W2530685584","https://openalex.org/W2731110410","https://openalex.org/W2897327470","https://openalex.org/W2937628888","https://openalex.org/W2963020743","https://openalex.org/W2963180359","https://openalex.org/W2963712180","https://openalex.org/W2964320047","https://openalex.org/W2995161752","https://openalex.org/W3105787463"],"related_works":["https://openalex.org/W2111181341","https://openalex.org/W2886060011","https://openalex.org/W2169816622","https://openalex.org/W2298254442","https://openalex.org/W1997242758","https://openalex.org/W2169367269","https://openalex.org/W2951368390","https://openalex.org/W2291558465","https://openalex.org/W1981992409","https://openalex.org/W2067529449"],"abstract_inverted_index":{"The":[0],"Shapley":[1],"effects":[2],"are":[3],"global":[4],"sensitivity":[5,29],"indices:":[6],"they":[7],"quantify":[8],"the":[9,15,32,38,52,67],"impact\\nof":[10],"each":[11],"input":[12],"variable":[13,17],"on":[14],"output":[16],"in":[18,70],"a":[19,43,47],"model.":[20],"In":[21],"this":[22,71],"work,":[23],"we\\nsuggest":[24],"new":[25,44],"estimators":[26,68],"of":[27,54,66],"these":[28,60],"indices.":[30],"When":[31],"input\\ndistribution":[33],"is":[34,56],"known,":[35],"we":[36,58,63],"investigate":[37],"already":[39],"existing":[40],"estimator":[41],"and\\nsuggest":[42],"one":[45],"with":[46],"lower":[48],"variance.":[49],"Then,":[50],"when":[51],"distribution":[53],"the\\ninputs":[55],"unknown,":[57],"extend":[59],"estimators.":[61],"Finally,":[62],"provide":[64],"asymptotic\\nproperties":[65],"studied":[69],"article.\\n":[72]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}