{"id":"https://openalex.org/W4385285470","doi":"https://doi.org/10.1007/s10208-023-09616-9","title":"Optimality of Robust Online Learning","display_name":"Optimality of Robust Online Learning","publication_year":2023,"publication_date":"2023-07-26","ids":{"openalex":"https://openalex.org/W4385285470","doi":"https://doi.org/10.1007/s10208-023-09616-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-023-09616-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-023-09616-9","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":["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/A5042860923","display_name":"Zheng-Chu Guo","orcid":"https://orcid.org/0009-0001-7134-6725"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng-Chu Guo","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China","School of Mathematical Sciences, Zhejiang University, Hangzhou, 310058, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, 310058, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028646174","display_name":"Andreas Christmann","orcid":"https://orcid.org/0000-0002-8408-3549"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Christmann","raw_affiliation_strings":["Department of Mathematics, University of Bayreuth, 95447, Bayreuth, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bayreuth, 95447, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100666185","display_name":"Lei Shi","orcid":"https://orcid.org/0000-0002-9512-5273"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Shi","raw_affiliation_strings":["School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, People\u2019s Republic of China","School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100666185"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.9397,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.91016753,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"24","issue":"5","first_page":"1455","last_page":"1483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9929999709129333,"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/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.8929245471954346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7621996402740479},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5979107618331909},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5499559640884399},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.534767210483551},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5049000382423401},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.486407995223999},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4848986268043518},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.45572203397750854},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44471290707588196},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.44395142793655396},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.42190977931022644},{"id":"https://openalex.org/keywords/online-learning","display_name":"Online learning","score":0.41984933614730835},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3462480902671814},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23793372511863708},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21911391615867615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2095893919467926},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.14717960357666016},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09351843595504761}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.8929245471954346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7621996402740479},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5979107618331909},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5499559640884399},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.534767210483551},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5049000382423401},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.486407995223999},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4848986268043518},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.45572203397750854},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44471290707588196},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.44395142793655396},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.42190977931022644},{"id":"https://openalex.org/C2986087404","wikidata":"https://www.wikidata.org/wiki/Q15946010","display_name":"Online learning","level":2,"score":0.41984933614730835},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3462480902671814},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23793372511863708},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21911391615867615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2095893919467926},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.14717960357666016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09351843595504761},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum 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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-023-09616-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-023-09616-9","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W47684516","https://openalex.org/W104184427","https://openalex.org/W194417083","https://openalex.org/W1491462408","https://openalex.org/W1579304828","https://openalex.org/W1691729031","https://openalex.org/W1869625623","https://openalex.org/W1903303072","https://openalex.org/W1970781863","https://openalex.org/W1986280275","https://openalex.org/W1992208280","https://openalex.org/W1997567675","https://openalex.org/W2009249652","https://openalex.org/W2012501405","https://openalex.org/W2033959528","https://openalex.org/W2048777337","https://openalex.org/W2050551672","https://openalex.org/W2052448032","https://openalex.org/W2059571389","https://openalex.org/W2091825929","https://openalex.org/W2100315781","https://openalex.org/W2112269233","https://openalex.org/W2118285149","https://openalex.org/W2123845705","https://openalex.org/W2135160607","https://openalex.org/W2137823674","https://openalex.org/W2139252659","https://openalex.org/W2141767566","https://openalex.org/W2142563104","https://openalex.org/W2147184730","https://openalex.org/W2158781299","https://openalex.org/W2166329520","https://openalex.org/W2415274228","https://openalex.org/W2419658023","https://openalex.org/W2489822048","https://openalex.org/W2613940844","https://openalex.org/W2762671040","https://openalex.org/W2792024940","https://openalex.org/W2801246384","https://openalex.org/W2804098832","https://openalex.org/W2963053844","https://openalex.org/W2963433607","https://openalex.org/W2964198904","https://openalex.org/W2964224116","https://openalex.org/W2989253080","https://openalex.org/W3015387428","https://openalex.org/W3099761860","https://openalex.org/W3127795058","https://openalex.org/W3152696736","https://openalex.org/W4200574550","https://openalex.org/W4245558064","https://openalex.org/W4255230573","https://openalex.org/W4285106799","https://openalex.org/W4285305182","https://openalex.org/W4381163198","https://openalex.org/W6601623556","https://openalex.org/W6792841710","https://openalex.org/W7052421801"],"related_works":["https://openalex.org/W4248396893","https://openalex.org/W3118393464","https://openalex.org/W4243330733","https://openalex.org/W1975708617","https://openalex.org/W3101749733","https://openalex.org/W3131787954","https://openalex.org/W50698531","https://openalex.org/W2535206775","https://openalex.org/W2065936395","https://openalex.org/W2056283567"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
