{"id":"https://openalex.org/W2583594804","doi":"https://doi.org/10.1109/tit.2017.2762322","title":"A Gaussian Process Regression Model for Distribution Inputs","display_name":"A Gaussian Process Regression Model for Distribution Inputs","publication_year":2017,"publication_date":"2017-10-12","ids":{"openalex":"https://openalex.org/W2583594804","doi":"https://doi.org/10.1109/tit.2017.2762322","mag":"2583594804"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2762322","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2762322","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.09055","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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/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/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francois Bachoc","raw_affiliation_strings":["Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I84500057"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039905527","display_name":"Fabrice Gamboa","orcid":"https://orcid.org/0000-0001-9779-4393"},"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/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/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fabrice Gamboa","raw_affiliation_strings":["Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I84500057"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025032659","display_name":"Jean\u2013Michel Loubes","orcid":"https://orcid.org/0000-0002-1252-2960"},"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/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/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Michel Loubes","raw_affiliation_strings":["Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I84500057"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071932404","display_name":"Nil Venet","orcid":"https://orcid.org/0000-0001-7871-3287"},"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/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/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"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/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nil Venet","raw_affiliation_strings":["CEA, Grenoble, France","Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France"],"raw_orcid":"https://orcid.org/0000-0001-7871-3287","affiliations":[{"raw_affiliation_string":"CEA, Grenoble, France","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"raw_affiliation_string":"Institute of Mathematics of Toulouse, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I84500057"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01269052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"64","issue":"10","first_page":"6620","last_page":"6637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.6398000121116638,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.6398000121116638,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.048500001430511475,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.028300000354647636,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kriging","display_name":"Kriging","score":0.5365626215934753},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.5256123542785645},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.47107353806495667},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.47098466753959656},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4579640030860901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.422377347946167},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.4219539761543274},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.403408020734787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3527849316596985},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3387409448623657},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.323638916015625},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12416884303092957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1053454577922821}],"concepts":[{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.5365626215934753},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5256123542785645},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.47107353806495667},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.47098466753959656},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4579640030860901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.422377347946167},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4219539761543274},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.403408020734787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3527849316596985},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3387409448623657},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.323638916015625},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12416884303092957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1053454577922821},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/tit.2017.2762322","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2762322","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1701.09055","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.09055","pdf_url":"https://arxiv.org/pdf/1701.09055","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-01450002v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01450002","pdf_url":"https://hal.science/hal-01450002v2/file/Final_Bachoc_Gamboa_Loubes_Venet%20%281%29.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2018, 64 (10), pp.6620 - 6637","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-01450002v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01450002","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-01450002","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-01980587v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01980587","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0018-9448","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03109928v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03109928","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.uqsay.org","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.1701.09055","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1701.09055","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.09055","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.09055","pdf_url":"https://arxiv.org/pdf/1701.09055","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/F4320322760","display_name":"Institut de Radioprotection et de S\u00dbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77"},{"id":"https://openalex.org/F4320323911","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W55912154","https://openalex.org/W179694669","https://openalex.org/W385466589","https://openalex.org/W1486811909","https://openalex.org/W1550262216","https://openalex.org/W1559242494","https://openalex.org/W1560724230","https://openalex.org/W1563088657","https://openalex.org/W1640882231","https://openalex.org/W1780591298","https://openalex.org/W1824831786","https://openalex.org/W1840389249","https://openalex.org/W1878886362","https://openalex.org/W1944513002","https://openalex.org/W1963780531","https://openalex.org/W1981682765","https://openalex.org/W1993647010","https://openalex.org/W2012908927","https://openalex.org/W2015713692","https://openalex.org/W2029907727","https://openalex.org/W2030532031","https://openalex.org/W2031753087","https://openalex.org/W2034831667","https://openalex.org/W2040609379","https://openalex.org/W2040635790","https://openalex.org/W2043083193","https://openalex.org/W2043090813","https://openalex.org/W2051645278","https://openalex.org/W2052332476","https://openalex.org/W2056599942","https://openalex.org/W2060624994","https://openalex.org/W2061320421","https://openalex.org/W2065165585","https://openalex.org/W2073020428","https://openalex.org/W2077487941","https://openalex.org/W2086106673","https://openalex.org/W2090878544","https://openalex.org/W2095181461","https://openalex.org/W2095541970","https://openalex.org/W2123737232","https://openalex.org/W2168464387","https://openalex.org/W2177692090","https://openalex.org/W2264931217","https://openalex.org/W2341063432","https://openalex.org/W2399265967","https://openalex.org/W2417433140","https://openalex.org/W2418306335","https://openalex.org/W2586628821","https://openalex.org/W2953389248","https://openalex.org/W2964111541","https://openalex.org/W2964276052","https://openalex.org/W2964334477","https://openalex.org/W3021971632","https://openalex.org/W3101183984","https://openalex.org/W3212621385","https://openalex.org/W4233762729","https://openalex.org/W4292156489","https://openalex.org/W6633315881","https://openalex.org/W6678557583","https://openalex.org/W6704024561","https://openalex.org/W6785747759","https://openalex.org/W6803398180","https://openalex.org/W7000252752"],"related_works":["https://openalex.org/W2416960926","https://openalex.org/W3039982143","https://openalex.org/W3163805564","https://openalex.org/W4206579646","https://openalex.org/W3201060151","https://openalex.org/W2376872241","https://openalex.org/W4287073795","https://openalex.org/W3185162181","https://openalex.org/W4281724213","https://openalex.org/W2047016096"],"abstract_inverted_index":{"Monge-Kantorovich":[0],"distances,":[1,6],"otherwise":[2],"known":[3],"as":[4,17],"Wasserstein":[5],"have":[7],"received":[8],"a":[9,18,32,43,56],"growing":[10],"attention":[11],"in":[12,88],"statistics":[13],"and":[14,62],"machine":[15],"learning":[16],"powerful":[19],"discrepancy":[20],"measure":[21],"for":[22],"probability":[23,37],"distributions.":[24,38],"In":[25],"this":[26],"paper,":[27],"we":[28,41],"focus":[29],"on":[30],"forecasting":[31],"Gaussian":[33,72,89],"process":[34,90],"indexed":[35,74],"by":[36,75],"For":[39],"this,":[40],"provide":[42,55],"family":[44],"of":[45,59],"positive":[46],"definite":[47],"kernels":[48,61,80],"built":[49],"using":[50],"transportation":[51],"based":[52],"distances.":[53],"We":[54,68],"probabilistic":[57],"understanding":[58],"these":[60,79],"characterize":[63],"the":[64,71],"corresponding":[65,77],"stochastic":[66],"processes.":[67],"prove":[69],"that":[70],"processes":[73],"distributions":[76],"to":[78],"can":[81],"be":[82],"efficiently":[83],"forecast,":[84],"opening":[85],"new":[86],"perspectives":[87],"modeling.":[91]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}