{"id":"https://openalex.org/W7155058878","doi":"https://doi.org/10.48550/arxiv.2604.17084","title":"Bo\u0163-Nguyen Acceleration, Weighted Mean Ergodic Iteration, and the Beta-Binomial Distribution","display_name":"Bo\u0163-Nguyen Acceleration, Weighted Mean Ergodic Iteration, and the Beta-Binomial Distribution","publication_year":2026,"publication_date":"2026-04-18","ids":{"openalex":"https://openalex.org/W7155058878","doi":"https://doi.org/10.48550/arxiv.2604.17084"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.17084","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.17084","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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.17084","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134134382","display_name":"Heinz H. Bauschke","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bauschke, Heinz H.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134105598","display_name":"Yuan Gao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gao, Yuan","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":false,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.46320000290870667,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.46320000290870667,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.131400004029274,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.1062999963760376,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.7727000117301941},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6215000152587891},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5857999920845032},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5688999891281128},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5598000288009644},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5163999795913696},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4869000017642975}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8640999794006348},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7727000117301941},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6215000152587891},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5857999920845032},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5688999891281128},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5598000288009644},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5163999795913696},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4869000017642975},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4758000075817108},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.429500013589859},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41620001196861267},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.41519999504089355},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.4142000079154968},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39010000228881836},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.382099986076355},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3398999869823456},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2768000066280365},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.272599995136261}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.17084","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.17084","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":"doi:10.48550/arxiv.2604.17084","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.17084","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,28],"2023,":[1],"Bo\u0163":[2],"and":[3],"Nguyen":[4],"introduced":[5],"a":[6,14,18,26,33],"new":[7],"class":[8],"of":[9,17,25,36,58,74,107],"accelerated":[10],"algorithms":[11],"for":[12],"finding":[13],"fixed":[15,80],"point":[16,77,81],"nonexpansive":[19,41],"operator":[20,42],"as":[21,71],"the":[22,40,49,56,68,72,75,79,84,91,96,108],"weak":[23,69],"limit":[24,70],"sequence.":[27],"this":[29],"paper,":[30],"we":[31,103],"analyze":[32],"particular":[34],"instance":[35],"their":[37],"algorithm":[38],"when":[39,95],"is":[43,98],"assumed":[44],"to":[45,66,90,100],"be":[46],"linear.":[47],"Surprisingly,":[48],"Bo\u0163-Nguyen":[50],"acceleration":[51],"then":[52,102],"fits":[53],"naturally":[54],"into":[55],"framework":[57],"weighted":[59],"mean":[60],"ergodic":[61],"iterations.":[62],"This":[63],"allows":[64],"us":[65],"identify":[67],"projection":[73],"starting":[76],"onto":[78],"set.":[82],"Moreover,":[83],"weights":[85],"involved":[86],"are":[87],"closely":[88],"related":[89],"beta-binomial":[92],"distribution.":[93],"Finally,":[94],"parameter":[97],"equal":[99],"4,":[101],"obtain":[104],"strong":[105],"convergence":[106],"iterates.":[109]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-22T00:00:00"}