{"id":"https://openalex.org/W4377138599","doi":"https://doi.org/10.1007/s10915-023-02231-4","title":"Nonmonotone Globalization for Anderson Acceleration via Adaptive Regularization","display_name":"Nonmonotone Globalization for Anderson Acceleration via Adaptive Regularization","publication_year":2023,"publication_date":"2023-05-18","ids":{"openalex":"https://openalex.org/W4377138599","doi":"https://doi.org/10.1007/s10915-023-02231-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02231-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-023-02231-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02231-4.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02231-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002314668","display_name":"Wenqing Ouyang","orcid":"https://orcid.org/0000-0002-8901-8156"},"institutions":[{"id":"https://openalex.org/I4210099586","display_name":"Shenzhen Research Institute of Big Data","ror":"https://ror.org/00z1gwf89","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099586"]},{"id":"https://openalex.org/I4210104064","display_name":"Shenzhen Academy of Robotics","ror":"https://ror.org/01h027j09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210104064"]},{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqing Ouyang","raw_affiliation_strings":["School of Data Science, The Chinese University of Hong Kong, Shenzhen, China","Shenzhen Institute of Artificial Intelligence and Robotics for Society, Shenzhen, China","Shenzhen Research Institute of Big Data, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Data Science, The Chinese University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]},{"raw_affiliation_string":"Shenzhen Institute of Artificial Intelligence and Robotics for Society, Shenzhen, China","institution_ids":["https://openalex.org/I4210104064"]},{"raw_affiliation_string":"Shenzhen Research Institute of Big Data, Shenzhen, China","institution_ids":["https://openalex.org/I4210099586"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068394455","display_name":"Jiong Tao","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jiong Tao","raw_affiliation_strings":["Department of Computer Science, University of Bath, Bath, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bath, Bath, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019301023","display_name":"Andre Milzarek","orcid":"https://orcid.org/0000-0002-6784-5417"},"institutions":[{"id":"https://openalex.org/I4210099586","display_name":"Shenzhen Research Institute of Big Data","ror":"https://ror.org/00z1gwf89","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099586"]},{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Andre Milzarek","raw_affiliation_strings":["School of Data Science, The Chinese University of Hong Kong, Shenzhen, China","Shenzhen Research Institute of Big Data, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Data Science, The Chinese University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]},{"raw_affiliation_string":"Shenzhen Research Institute of Big Data, Shenzhen, China","institution_ids":["https://openalex.org/I4210099586"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088798709","display_name":"Bailin Deng","orcid":"https://orcid.org/0000-0002-0158-7670"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Bailin Deng","raw_affiliation_strings":["School of Computer Science and Informatics, Cardiff University, Cardiff, UK"],"raw_orcid":"https://orcid.org/0000-0002-0158-7670","affiliations":[{"raw_affiliation_string":"School of Computer Science and Informatics, Cardiff University, Cardiff, UK","institution_ids":["https://openalex.org/I79510175"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088798709"],"corresponding_institution_ids":["https://openalex.org/I79510175"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.4309,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62975642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"96","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9980999827384949,"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/regularization","display_name":"Regularization (linguistics)","score":0.653587818145752},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6164880990982056},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5769919753074646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4748692214488983},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.44271978735923767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3546827435493469},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3401392102241516},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24574974179267883},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20505139231681824}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.653587818145752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6164880990982056},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5769919753074646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4748692214488983},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.44271978735923767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3546827435493469},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3401392102241516},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24574974179267883},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20505139231681824},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-023-02231-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-023-02231-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02231-4.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:159464","is_oa":true,"landing_page_url":null,"pdf_url":"https://orca.cardiff.ac.uk/id/eprint/159464/8/s10915-023-02231-4.pdf","source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s10915-023-02231-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-023-02231-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-023-02231-4.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.49000000953674316,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320333998","display_name":"Shenzhen Research Institute, City University of Hong Kong","ror":"https://ror.org/00xc0ma20"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4377138599.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W205960364","https://openalex.org/W581038412","https://openalex.org/W1869443557","https://openalex.org/W1966801132","https://openalex.org/W1978333359","https://openalex.org/W1983354332","https://openalex.org/W1992302167","https://openalex.org/W1992688650","https://openalex.org/W2004140015","https://openalex.org/W2038281434","https://openalex.org/W2044168427","https://openalex.org/W2071486596","https://openalex.org/W2081233504","https://openalex.org/W2086128789","https://openalex.org/W2100514507","https://openalex.org/W2256578114","https://openalex.org/W2364308289","https://openalex.org/W2496276084","https://openalex.org/W2580889931","https://openalex.org/W2702148523","https://openalex.org/W2765693607","https://openalex.org/W2769188266","https://openalex.org/W2802172126","https://openalex.org/W2808055467","https://openalex.org/W2937666593","https://openalex.org/W2951948474","https://openalex.org/W2963000588","https://openalex.org/W2963282659","https://openalex.org/W2963389536","https://openalex.org/W2963743617","https://openalex.org/W2964094444","https://openalex.org/W2964187290","https://openalex.org/W2970692013","https://openalex.org/W3007299075","https://openalex.org/W3008034264","https://openalex.org/W3013359803","https://openalex.org/W3100586730","https://openalex.org/W3101644375","https://openalex.org/W3104141139","https://openalex.org/W3120161765","https://openalex.org/W3123615724","https://openalex.org/W4247591450"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390829436","https://openalex.org/W1971289376","https://openalex.org/W1989791859","https://openalex.org/W2565094479","https://openalex.org/W2544423928","https://openalex.org/W602859758","https://openalex.org/W2379101322","https://openalex.org/W2053286651"],"abstract_inverted_index":{"Abstract":[0],"Anderson":[1],"acceleration":[2],"(":[3],"$$\\textsf{AA}$$":[4,31,48,99],"<mml:math":[5,32,49,100],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[6,33,50,101],"<mml:mi>AA</mml:mi>":[7,34,51,102],"</mml:math>":[8,35,52,103],")":[9],"is":[10,112],"a":[11,27,68,80],"popular":[12],"method":[13,29,111],"for":[14,30],"accelerating":[15],"fixed-point":[16],"iterations,":[17],"but":[18],"may":[19],"suffer":[20],"from":[21],"instability":[22],"and":[23,39,43,60,72,88],"stagnation.":[24],"We":[25,84],"propose":[26],"globalization":[28,53],"to":[36],"improve":[37],"stability":[38],"achieve":[40],"unified":[41],"global":[42,86],"local":[44,64,96],"convergence.":[45],"Unlike":[46],"existing":[47],"approaches":[54],"that":[55,90],"rely":[56],"on":[57],"safeguarding":[58],"operations":[59],"might":[61],"hinder":[62],"fast":[63],"convergence,":[65],"we":[66],"adopt":[67],"nonmonotone":[69],"trust-region":[70],"framework":[71],"introduce":[73],"an":[74],"adaptive":[75],"quadratic":[76],"regularization":[77],"together":[78],"with":[79],"tailored":[81],"acceptance":[82],"mechanism.":[83],"prove":[85],"convergence":[87,97],"show":[89],"our":[91,110],"algorithm":[92],"attains":[93],"the":[94],"same":[95],"as":[98],"under":[104],"appropriate":[105],"assumptions.":[106],"The":[107],"effectiveness":[108],"of":[109],"demonstrated":[113],"in":[114],"several":[115],"numerical":[116],"experiments.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
