{"id":"https://openalex.org/W4411972815","doi":"https://doi.org/10.1137/24m1653513","title":"An Adaptively Inexact First-Order Method for Bilevel Optimization with Application to Hyperparameter Learning","display_name":"An Adaptively Inexact First-Order Method for Bilevel Optimization with Application to Hyperparameter Learning","publication_year":2025,"publication_date":"2025-07-03","ids":{"openalex":"https://openalex.org/W4411972815","doi":"https://doi.org/10.1137/24m1653513"},"language":"en","primary_location":{"id":"doi:10.1137/24m1653513","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1653513","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1137/24m1653513","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108767548","display_name":"Mohammad Sadegh Salehi","orcid":"https://orcid.org/0009-0002-1814-5024"},"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":true,"raw_author_name":"Mohammad Sadegh Salehi","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035377071","display_name":"Subhadip Mukherjee","orcid":"https://orcid.org/0000-0001-8324-3865"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Subhadip Mukherjee","raw_affiliation_strings":["Department of Electronics & Electrical Communication Engineering, Indian Institute of Technology (IIT) Kharagpur, Kharagpur, 721302 India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics & Electrical Communication Engineering, Indian Institute of Technology (IIT) Kharagpur, Kharagpur, 721302 India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002978535","display_name":"Lindon Roberts","orcid":"https://orcid.org/0000-0001-6438-9703"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210088648","display_name":"Cooperative Trials Group for Neuro-Oncology","ror":"https://ror.org/004gchq58","country_code":"AU","type":"other","lineage":["https://openalex.org/I4210088648"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lindon Roberts","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sydney, Camperdown NSW, 2006 Australia"],"raw_orcid":"https://orcid.org/0000-0001-6438-9703","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney, Camperdown NSW, 2006 Australia","institution_ids":["https://openalex.org/I129604602","https://openalex.org/I4210088648"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078070589","display_name":"Matthias J. Ehrhardt","orcid":"https://orcid.org/0000-0001-8523-353X"},"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":"Matthias J. Ehrhardt","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK"],"raw_orcid":"https://orcid.org/0000-0001-8523-353X","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108767548"],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":null,"apc_paid":null,"fwci":3.582,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.9229493,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"7","issue":"3","first_page":"906","last_page":"936"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9872000217437744,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperparameter","display_name":"Hyperparameter","score":0.8484487533569336},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.7624257802963257},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.550991952419281},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5010707378387451},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4873834252357483},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.486189067363739},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48532217741012573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27968016266822815},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.16499033570289612},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09104454517364502}],"concepts":[{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.8484487533569336},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.7624257802963257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.550991952419281},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5010707378387451},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4873834252357483},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.486189067363739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48532217741012573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27968016266822815},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.16499033570289612},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09104454517364502},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1653513","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1653513","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/24m1653513","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1653513","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3211048208","display_name":"The Mathematics of Deep Learning","funder_award_id":"EP/V026259/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3438431544","display_name":"EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at Bath","funder_award_id":"EP/S022945/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5195942913","display_name":"CCP in Synergistic Reconstruction for Biomedical Imaging","funder_award_id":"EP/T026693/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6261737974","display_name":null,"funder_award_id":"DE240100006","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G763414266","display_name":"PET++: Improving Localisation, Diagnosis and Quantification in Clinical and Medical PET Imaging with Randomised Optimisation","funder_award_id":"EP/S026045/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1503398984","https://openalex.org/W1970163214","https://openalex.org/W2033894760","https://openalex.org/W2049893860","https://openalex.org/W2103559027","https://openalex.org/W2166107799","https://openalex.org/W2167137033","https://openalex.org/W2189263620","https://openalex.org/W2278603371","https://openalex.org/W2405803404","https://openalex.org/W2901838001","https://openalex.org/W2904608878","https://openalex.org/W2963837723","https://openalex.org/W2968397096","https://openalex.org/W2990138404","https://openalex.org/W3037849261","https://openalex.org/W3050528501","https://openalex.org/W3101558399","https://openalex.org/W3156469768","https://openalex.org/W3173141421","https://openalex.org/W3199051821","https://openalex.org/W3212016137","https://openalex.org/W4221144532","https://openalex.org/W4225873238","https://openalex.org/W4296001753","https://openalex.org/W4307236122","https://openalex.org/W4317897806","https://openalex.org/W4321845049","https://openalex.org/W4385938192","https://openalex.org/W4387131582","https://openalex.org/W4389209324","https://openalex.org/W4402442910","https://openalex.org/W4403073363"],"related_works":["https://openalex.org/W4297800546","https://openalex.org/W2804529069","https://openalex.org/W2963306862","https://openalex.org/W2602382373","https://openalex.org/W3003615511","https://openalex.org/W4285827128","https://openalex.org/W3198113463","https://openalex.org/W2787698406","https://openalex.org/W2963844355","https://openalex.org/W4361251046"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
