{"id":"https://openalex.org/W2059571389","doi":"https://doi.org/10.1007/s10208-006-0237-y","title":"Online Gradient Descent Learning Algorithms","display_name":"Online Gradient Descent Learning Algorithms","publication_year":2007,"publication_date":"2007-04-24","ids":{"openalex":"https://openalex.org/W2059571389","doi":"https://doi.org/10.1007/s10208-006-0237-y","mag":"2059571389"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-006-0237-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-006-0237-y","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/A5048960543","display_name":"Yiming Ying","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yiming Ying","raw_affiliation_strings":["Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, England, UK","Department of Computer Science, University College London, Gower Street, London WC1E 6BT, England, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, England, UK","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Computer Science, University College London, Gower Street, London WC1E 6BT, England, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034260726","display_name":"Massimiliano Pontil","orcid":"https://orcid.org/0000-0001-9415-098X"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Massimiliano Pontil","raw_affiliation_strings":["Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, England, UK","Department of Computer Science, University College London, Gower Street, London WC1E 6BT, England, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, England, UK","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Computer Science, University College London, Gower Street, London WC1E 6BT, England, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048960543"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2883,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.80122614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"8","issue":"5","first_page":"561","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.993399977684021,"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":0.8958908915519714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7350894808769226},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6848875284194946},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.6053580045700073},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5955405831336975},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5933752655982971},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5686546564102173},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.529853105545044},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4966042637825012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4696197807788849},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.44732874631881714},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4247353971004486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3963093161582947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2239483892917633},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16117551922798157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12423321604728699},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.0830596387386322}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.8958908915519714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7350894808769226},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6848875284194946},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.6053580045700073},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5955405831336975},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5933752655982971},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5686546564102173},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.529853105545044},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4966042637825012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4696197807788849},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.44732874631881714},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4247353971004486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3963093161582947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2239483892917633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16117551922798157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12423321604728699},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0830596387386322},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":1,"locations":[{"id":"doi:10.1007/s10208-006-0237-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-006-0237-y","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":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W560409768","https://openalex.org/W1506313179","https://openalex.org/W1570089119","https://openalex.org/W1968444040","https://openalex.org/W1970041563","https://openalex.org/W1970781863","https://openalex.org/W1982032418","https://openalex.org/W1986280275","https://openalex.org/W1994616650","https://openalex.org/W1996652862","https://openalex.org/W1998438337","https://openalex.org/W2000021956","https://openalex.org/W2012715465","https://openalex.org/W2017332415","https://openalex.org/W2023163512","https://openalex.org/W2033855314","https://openalex.org/W2038845890","https://openalex.org/W2043800867","https://openalex.org/W2044421224","https://openalex.org/W2047278710","https://openalex.org/W2091825929","https://openalex.org/W2099210314","https://openalex.org/W2103376147","https://openalex.org/W2109339818","https://openalex.org/W2110652811","https://openalex.org/W2123845705","https://openalex.org/W2146766088","https://openalex.org/W2148603752","https://openalex.org/W2150621701","https://openalex.org/W2158781299","https://openalex.org/W2171798319","https://openalex.org/W2272205360","https://openalex.org/W3098897816","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2123107849","https://openalex.org/W2895097035","https://openalex.org/W4206903459","https://openalex.org/W4234882900","https://openalex.org/W2754816816","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W4387349426","https://openalex.org/W3020853991","https://openalex.org/W4362706668"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
