{"id":"https://openalex.org/W4303441401","doi":"https://doi.org/10.1080/10618600.2023.2282501","title":"A Distributed Block-Split Gibbs Sampler with Hypergraph Structure for High-Dimensional Inverse Problems","display_name":"A Distributed Block-Split Gibbs Sampler with Hypergraph Structure for High-Dimensional Inverse Problems","publication_year":2023,"publication_date":"2023-11-15","ids":{"openalex":"https://openalex.org/W4303441401","doi":"https://doi.org/10.1080/10618600.2023.2282501"},"language":"en","primary_location":{"id":"doi:10.1080/10618600.2023.2282501","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2023.2282501","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2210.02341","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047622950","display_name":"Pierre-Antoine Thouvenin","orcid":"https://orcid.org/0000-0003-1246-9458"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I4387153239","display_name":"Centre de Recherche en Informatique, Signal et Automatique de Lille","ror":"https://ror.org/05vrs3189","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4387153239","https://openalex.org/I7454413"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre-Antoine Thouvenin","raw_affiliation_strings":["Univ. of Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, Lille, France","CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)"],"raw_orcid":"https://orcid.org/0000-0003-1246-9458","affiliations":[{"raw_affiliation_string":"Univ. of Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, Lille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4387153239","https://openalex.org/I7454413"]},{"raw_affiliation_string":"CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210115519","https://openalex.org/I4387153239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083254809","display_name":"Audrey Repetti","orcid":"https://orcid.org/0000-0002-6296-6957"},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Audrey Repetti","raw_affiliation_strings":["School of Mathematics and Computer Sciences, and School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK","HWU - Heriot-Watt University [Edinburgh] (Edinburgh, Scotland, UK EH14 4AS - United Kingdom)","MATHEMATICS DEPARTMENT OF HERIOT-WATT UNIVERSITY - School of Mathematical and Computer Sciences (Mathematics Department Colin Maclaurin Building Heriot-Watt University Edinburgh EH14 4AS Scotland - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0002-6296-6957","affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Sciences, and School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK","institution_ids":["https://openalex.org/I32062511"]},{"raw_affiliation_string":"HWU - Heriot-Watt University [Edinburgh] (Edinburgh, Scotland, UK EH14 4AS - United Kingdom)","institution_ids":["https://openalex.org/I32062511"]},{"raw_affiliation_string":"MATHEMATICS DEPARTMENT OF HERIOT-WATT UNIVERSITY - School of Mathematical and Computer Sciences (Mathematics Department Colin Maclaurin Building Heriot-Watt University Edinburgh EH14 4AS Scotland - United Kingdom)","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088402344","display_name":"Pierre Chainais","orcid":"https://orcid.org/0000-0003-4377-7584"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I4387153239","display_name":"Centre de Recherche en Informatique, Signal et Automatique de Lille","ror":"https://ror.org/05vrs3189","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4387153239","https://openalex.org/I7454413"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Chainais","raw_affiliation_strings":["Univ. of Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, Lille, France","CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, Lille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4387153239","https://openalex.org/I7454413"]},{"raw_affiliation_string":"CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210115519","https://openalex.org/I4387153239"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5047622950"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4210115519","https://openalex.org/I4387153239","https://openalex.org/I7454413"],"apc_list":null,"apc_paid":null,"fwci":0.7588,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68960378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"33","issue":"3","first_page":"814","last_page":"832"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9937999844551086,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9937999844551086,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9818999767303467,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.977400004863739,"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/coordinate-descent","display_name":"Coordinate descent","score":0.6888084411621094},{"id":"https://openalex.org/keywords/gibbs-sampling","display_name":"Gibbs sampling","score":0.6813277006149292},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6465436816215515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6182761788368225},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5826037526130676},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5237805247306824},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.47626468539237976},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46998465061187744},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4482915997505188},{"id":"https://openalex.org/keywords/approximate-inference","display_name":"Approximate inference","score":0.4210551977157593},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4153899550437927},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.3361048400402069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2718978822231293},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14252838492393494}],"concepts":[{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.6888084411621094},{"id":"https://openalex.org/C158424031","wikidata":"https://www.wikidata.org/wiki/Q1191905","display_name":"Gibbs sampling","level":3,"score":0.6813277006149292},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6465436816215515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6182761788368225},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5826037526130676},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5237805247306824},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.47626468539237976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46998465061187744},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4482915997505188},{"id":"https://openalex.org/C2777472644","wikidata":"https://www.wikidata.org/wiki/Q16968992","display_name":"Approximate inference","level":3,"score":0.4210551977157593},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4153899550437927},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.3361048400402069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2718978822231293},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14252838492393494},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10618600.2023.2282501","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2023.2282501","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2210.02341","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.02341","pdf_url":"https://arxiv.org/pdf/2210.02341","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04267086v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04267086","pdf_url":"https://hal.science/hal-04267086/document","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational and Graphical Statistics, 2023, 33 (3), pp.814-832. &#x27E8;10.1080/10618600.2023.2282501&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/89039","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/89039","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/workingPaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2210.02341","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.02341","pdf_url":"https://arxiv.org/pdf/2210.02341","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1534832575","display_name":null,"funder_award_id":"ANR-20-CHIA-0031-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2545393983","display_name":null,"funder_award_id":"20-CHIA-0031-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4890478204","display_name":"Fast inference with controlled uncertainty: application to astrophysical observations.","funder_award_id":"ANR-20-CHIA-0031","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G638145274","display_name":null,"funder_award_id":"ANR\u201016\u2010IDEX\u20100004 ULNE","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6942815888","display_name":null,"funder_award_id":"16-IDEX-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7225929873","display_name":"ULNE","funder_award_id":"ANR-16-IDEX-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320326227","display_name":"R\u00e9gion Hauts-de-France","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1493782845","https://openalex.org/W1512478894","https://openalex.org/W1540764732","https://openalex.org/W1558572410","https://openalex.org/W1591388369","https://openalex.org/W1606512765","https://openalex.org/W1774344329","https://openalex.org/W1922442141","https://openalex.org/W1946620893","https://openalex.org/W1998991750","https://openalex.org/W2013850411","https://openalex.org/W2027982384","https://openalex.org/W2047003499","https://openalex.org/W2092663520","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2114423093","https://openalex.org/W2133665775","https://openalex.org/W2139831589","https://openalex.org/W2148791483","https://openalex.org/W2171413647","https://openalex.org/W2259139337","https://openalex.org/W2566924527","https://openalex.org/W2768751982","https://openalex.org/W2783303161","https://openalex.org/W2798247574","https://openalex.org/W2911782689","https://openalex.org/W2936995161","https://openalex.org/W2938963934","https://openalex.org/W3005502571","https://openalex.org/W3034659080","https://openalex.org/W3084298117","https://openalex.org/W3091436593","https://openalex.org/W3164436820","https://openalex.org/W4247489173","https://openalex.org/W4301369207"],"related_works":["https://openalex.org/W2117229703","https://openalex.org/W3146360815","https://openalex.org/W3120756218","https://openalex.org/W2395088808","https://openalex.org/W840335986","https://openalex.org/W1501929113","https://openalex.org/W3035601136","https://openalex.org/W1991255919","https://openalex.org/W3038950677","https://openalex.org/W4287746628"],"abstract_inverted_index":{"Sampling-based":[0],"algorithms":[1],"are":[2],"classical":[3],"approaches":[4,55],"to":[5,20,32,50,59,64,79,118,128,145,186,202],"perform":[6],"Bayesian":[7],"inference":[8,66],"in":[9,194],"inverse":[10],"problems.":[11],"They":[12],"provide":[13],"estimators":[14],"with":[15,41,86,93,114,191],"the":[16,22,25,57,120,137,141,148,164,180,183,204],"associated":[17],"credibility":[18,192],"intervals":[19,193],"quantify":[21],"uncertainty":[23],"on":[24,173],"estimators.":[26],"Although":[27],"these":[28],"methods":[29],"hardly":[30],"scale":[31],"high":[33,188],"dimensional":[34],"problems,":[35],"they":[36],"have":[37],"recently":[38],"been":[39],"paired":[40],"optimization":[42,108],"techniques,":[43],"such":[44,82,162],"as":[45,163],"proximal":[46],"and":[47,69,89,122,169],"splitting":[48,62],"approaches,":[49],"address":[51],"this":[52],"issue.":[53],"Such":[54],"pave":[56],"way":[58],"distributed":[60,74,130,160],"samplers,":[61],"computations":[63],"make":[65],"more":[67],"scalable":[68],"faster.":[70],"We":[71],"introduce":[72],"a":[73,100,115,129,174,195],"Split":[75],"Gibbs":[76],"sampler":[77],"(SGS)":[78],"efficiently":[80,146],"solve":[81],"problems":[83],"involving":[84],"distributions":[85],"multiple":[87,151],"smooth":[88],"non-smooth":[90],"functions":[91],"composed":[92],"linear":[94,143],"operators.":[95],"The":[96,133],"proposed":[97,184],"approach":[98,117,185],"leverages":[99],"recent":[101],"approximate":[102],"augmentation":[103],"technique":[104],"reminiscent":[105],"of":[106,140,182,198],"primal-dual":[107],"methods.":[109],"It":[110,157],"is":[111,206],"further":[112],"combined":[113],"block-coordinate":[116,131],"split":[119],"primal":[121],"dual":[123],"variables":[124,149],"into":[125],"blocks,":[126],"leading":[127],"SGS.":[132],"resulting":[134],"algorithm":[135],"exploits":[136],"hypergraph":[138],"structure":[139],"involved":[142],"operators":[144],"distribute":[147],"over":[150],"workers":[152],"under":[153],"controlled":[154],"communication":[155],"costs.":[156],"accommodates":[158],"several":[159],"architectures,":[161],"Single":[165],"Program":[166],"Multiple":[167],"Data":[168],"client-server":[170],"architectures.":[171],"Experiments":[172],"large":[175],"image":[176],"deblurring":[177],"problem":[178],"show":[179],"performance":[181],"produce":[187],"quality":[189],"estimates":[190],"small":[196],"amount":[197],"time.":[199],"Supplementary":[200],"material":[201],"reproduce":[203],"experiments":[205],"available":[207],"online.":[208]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
