{"id":"https://openalex.org/W3082525919","doi":"https://doi.org/10.1007/s10208-022-09586-4","title":"Convergence Analysis under Consistent Error Bounds","display_name":"Convergence Analysis under Consistent Error Bounds","publication_year":2022,"publication_date":"2022-10-18","ids":{"openalex":"https://openalex.org/W3082525919","doi":"https://doi.org/10.1007/s10208-022-09586-4","mag":"3082525919"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-022-09586-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-022-09586-4","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.12968","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048963769","display_name":"Tianxiang Liu","orcid":"https://orcid.org/0000-0001-5344-1203"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tianxiang Liu","raw_affiliation_strings":["School of Computing, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005592247","display_name":"Bruno F. Louren\u00e7o","orcid":"https://orcid.org/0000-0003-2369-0107"},"institutions":[{"id":"https://openalex.org/I4210134673","display_name":"The Institute of Statistical Mathematics","ror":"https://ror.org/03jcejr58","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I4210134673","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Bruno F. Louren\u00e7o","raw_affiliation_strings":["Department of Statistical Inference and Mathematics, Institute of Statistical Mathematics, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistical Inference and Mathematics, Institute of Statistical Mathematics, Tokyo, Japan","institution_ids":["https://openalex.org/I4210134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005592247"],"corresponding_institution_ids":["https://openalex.org/I4210134673"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9132,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75822452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"2","first_page":"429","last_page":"479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7598390579223633},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6380178928375244},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6272696256637573},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5977292060852051},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5807034373283386},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5583925843238831},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5516345500946045},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5450040698051453},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4987761974334717},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4855961203575134},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.47288814187049866},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4553622603416443},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4265618622303009},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40698903799057007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3183901607990265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17280730605125427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16771036386489868}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7598390579223633},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6380178928375244},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6272696256637573},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5977292060852051},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5807034373283386},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5583925843238831},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5516345500946045},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5450040698051453},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4987761974334717},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4855961203575134},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.47288814187049866},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4553622603416443},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4265618622303009},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40698903799057007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3183901607990265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17280730605125427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16771036386489868},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10208-022-09586-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-022-09586-4","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2008.12968","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.12968","pdf_url":"https://arxiv.org/pdf/2008.12968","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":null,"raw_type":"text"},{"id":"pmh:oai:irdb.nii.ac.jp:00897:0004910594","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100848926","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"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":"conference paper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2008.12968","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.12968","pdf_url":"https://arxiv.org/pdf/2008.12968","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W179438227","https://openalex.org/W562765753","https://openalex.org/W627954411","https://openalex.org/W1710475132","https://openalex.org/W1825307613","https://openalex.org/W1853237406","https://openalex.org/W1967138577","https://openalex.org/W1967317714","https://openalex.org/W1975552883","https://openalex.org/W1976095572","https://openalex.org/W1991619142","https://openalex.org/W1999751856","https://openalex.org/W2000748685","https://openalex.org/W2002110362","https://openalex.org/W2003372231","https://openalex.org/W2019569173","https://openalex.org/W2025424390","https://openalex.org/W2033511209","https://openalex.org/W2040321731","https://openalex.org/W2051933044","https://openalex.org/W2052538598","https://openalex.org/W2054796771","https://openalex.org/W2063543800","https://openalex.org/W2065957732","https://openalex.org/W2068357778","https://openalex.org/W2071410137","https://openalex.org/W2075706482","https://openalex.org/W2080359169","https://openalex.org/W2082451773","https://openalex.org/W2090158630","https://openalex.org/W2093417350","https://openalex.org/W2094917659","https://openalex.org/W2098258381","https://openalex.org/W2104296611","https://openalex.org/W2129130711","https://openalex.org/W2129732816","https://openalex.org/W2145867192","https://openalex.org/W2147388225","https://openalex.org/W2161422859","https://openalex.org/W2166161233","https://openalex.org/W2171505904","https://openalex.org/W2176812374","https://openalex.org/W2265744594","https://openalex.org/W2321429733","https://openalex.org/W2321466613","https://openalex.org/W2329579984","https://openalex.org/W2461651802","https://openalex.org/W2512467472","https://openalex.org/W2572594781","https://openalex.org/W2594309699","https://openalex.org/W2777528688","https://openalex.org/W2778468193","https://openalex.org/W2962826994","https://openalex.org/W2962890513","https://openalex.org/W2963285451","https://openalex.org/W2985739199","https://openalex.org/W2986179863","https://openalex.org/W3008561645","https://openalex.org/W3098950028","https://openalex.org/W3100208521","https://openalex.org/W3103639684","https://openalex.org/W3105858912","https://openalex.org/W3106195685","https://openalex.org/W4206769493","https://openalex.org/W4211227957","https://openalex.org/W4299599836","https://openalex.org/W6845917953"],"related_works":["https://openalex.org/W4300566153","https://openalex.org/W2795378890","https://openalex.org/W2804689728","https://openalex.org/W2946724620","https://openalex.org/W2400034325","https://openalex.org/W4292651679","https://openalex.org/W2499557797","https://openalex.org/W2985014567","https://openalex.org/W4299515259","https://openalex.org/W2032676126"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-10T00:00:00"}
