{"id":"https://openalex.org/W4408297936","doi":"https://doi.org/10.1137/23m1608963","title":"HMC and Underdamped Langevin United in the Unadjusted Convex Smooth Case","display_name":"HMC and Underdamped Langevin United in the Unadjusted Convex Smooth Case","publication_year":2025,"publication_date":"2025-03-10","ids":{"openalex":"https://openalex.org/W4408297936","doi":"https://doi.org/10.1137/23m1608963"},"language":"en","primary_location":{"id":"doi:10.1137/23m1608963","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1608963","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092926056","display_name":"Nicola\u00ef Gouraud","orcid":"https://orcid.org/0009-0004-0722-037X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nicola\u00ef Gouraud","raw_affiliation_strings":["LJLL, Sorbonne Universit\u00e9, Paris, France & Qubit Pharmaceuticals, Advanced Research Department, Paris, France"],"affiliations":[{"raw_affiliation_string":"LJLL, Sorbonne Universit\u00e9, Paris, France & Qubit Pharmaceuticals, Advanced Research Department, Paris, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010243160","display_name":"Pierre Le Bris","orcid":null},"institutions":[{"id":"https://openalex.org/I84909340","display_name":"Institut des Hautes \u00c9tudes Scientifiques","ror":"https://ror.org/05d5m2r55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I84909340"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Le Bris","raw_affiliation_strings":["IHES, Bures-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"IHES, Bures-sur-Yvette, France","institution_ids":["https://openalex.org/I84909340"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019268107","display_name":"Arkadiusz Majka","orcid":null},"institutions":[{"id":"https://openalex.org/I84009706","display_name":"\u00c9cole Nationale de la Statistique et de l'Administration \u00c9conomique","ror":"https://ror.org/01fz7mn40","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210108488","https://openalex.org/I4210145102","https://openalex.org/I84009706"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Adrien Majka","raw_affiliation_strings":["ENSAE, Paris, France"],"affiliations":[{"raw_affiliation_string":"ENSAE, Paris, France","institution_ids":["https://openalex.org/I84009706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073954393","display_name":"Pierre Monmarch\u00e9","orcid":"https://orcid.org/0000-0002-3356-2646"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre Monmarch\u00e9","raw_affiliation_strings":["LJLL and LCT, Sorbonne Universit\u00e9, Paris, France & Institut Universitaire de France, France"],"affiliations":[{"raw_affiliation_string":"LJLL and LCT, Sorbonne Universit\u00e9, Paris, France & Institut Universitaire de France, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5092926056"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6764,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94712006,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"1","first_page":"278","last_page":"303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10136","display_name":"Statistical Methods and Inference","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5581609606742859},{"id":"https://openalex.org/keywords/langevin-dynamics","display_name":"Langevin dynamics","score":0.5514864325523376},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43611329793930054},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3507223129272461},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3429011106491089},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33650267124176025},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16506171226501465}],"concepts":[{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5581609606742859},{"id":"https://openalex.org/C2780004032","wikidata":"https://www.wikidata.org/wiki/Q6485978","display_name":"Langevin dynamics","level":2,"score":0.5514864325523376},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43611329793930054},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3507223129272461},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3429011106491089},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33650267124176025},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16506171226501465}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1608963","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1608963","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:HAL:hal-03762600v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03762600","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":"2022","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.6299999952316284}],"awards":[{"id":"https://openalex.org/G3321150447","display_name":null,"funder_award_id":"ANR-20-CE40-0022","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6617287496","display_name":null,"funder_award_id":"810367","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1500635628","https://openalex.org/W1875837956","https://openalex.org/W1981369361","https://openalex.org/W2038864393","https://openalex.org/W2040104067","https://openalex.org/W2087667141","https://openalex.org/W2090251478","https://openalex.org/W2096953755","https://openalex.org/W2255080810","https://openalex.org/W2315713884","https://openalex.org/W2343546005","https://openalex.org/W2562674776","https://openalex.org/W2776466161","https://openalex.org/W2886027640","https://openalex.org/W2963329100","https://openalex.org/W2963561977","https://openalex.org/W2963599479","https://openalex.org/W2964769091","https://openalex.org/W3015112815","https://openalex.org/W3017508631","https://openalex.org/W3087302502","https://openalex.org/W3099455365","https://openalex.org/W3135466621","https://openalex.org/W3157879672","https://openalex.org/W3163522496","https://openalex.org/W3177438700","https://openalex.org/W3199667312","https://openalex.org/W3201118272","https://openalex.org/W3211106266","https://openalex.org/W4320018497","https://openalex.org/W4366000532","https://openalex.org/W4398213805","https://openalex.org/W4399256330","https://openalex.org/W4399364452"],"related_works":["https://openalex.org/W2144266858","https://openalex.org/W4221165290","https://openalex.org/W3105693600","https://openalex.org/W3080947604","https://openalex.org/W325125432","https://openalex.org/W2030944229","https://openalex.org/W2973441963","https://openalex.org/W3103050273","https://openalex.org/W2906114817","https://openalex.org/W4293771647"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,36,58],"family":[3],"of":[4,16,26,40,72],"unadjusted":[5],"HMC":[6,12],"samplers,":[7],"which":[8,46],"includes":[9],"standard":[10,79],"position":[11],"samplers":[13,42],"and":[14,24],"discretizations":[15],"the":[17,27,32,41,73],"underdamped":[18],"Langevin":[19],"process.":[20],"A":[21],"detailed":[22],"analysis":[23],"optimization":[25],"parameters":[28],"is":[29,43],"conducted":[30],"in":[31,57],"Gaussian":[33],"case.":[34],"Then,":[35],"stochastic":[37],"gradient":[38],"version":[39],"considered,":[44],"for":[45,52],"dimension-free":[47],"convergence":[48],"rates":[49],"are":[50,75],"established":[51],"log-concave":[53],"smooth":[54],"targets,":[55],"gathering":[56],"unified":[59],"framework":[60],"previous":[61],"results":[62,67],"on":[63],"both":[64],"processes.":[65],"Both":[66],"indicate":[68],"that":[69],"partial":[70],"refreshments":[71],"velocity":[74],"more":[76],"efficient":[77],"than":[78],"full":[80],"refreshments.":[81]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}