{"id":"https://openalex.org/W4376455713","doi":"https://doi.org/10.1007/978-3-031-31975-4_35","title":"Stochastic Gradient Descent for\u00a0Linear Inverse Problems in\u00a0Variable Exponent Lebesgue Spaces","display_name":"Stochastic Gradient Descent for\u00a0Linear Inverse Problems in\u00a0Variable Exponent Lebesgue Spaces","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4376455713","doi":"https://doi.org/10.1007/978-3-031-31975-4_35"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-31975-4_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-31975-4_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04031273/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043764555","display_name":"Marta Lazzaretti","orcid":"https://orcid.org/0009-0000-6254-8838"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Marta Lazzaretti","raw_affiliation_strings":["CNRS, UCA, Inria, Laboratoire I3S, 06903, Sophia-Antipolis, France","Dip. di Matematica, Universit\u00e0 di Genova, Via Dodecaneso 35, 16146, Genoa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, UCA, Inria, Laboratoire I3S, 06903, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Dip. di Matematica, Universit\u00e0 di Genova, Via Dodecaneso 35, 16146, Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075218826","display_name":"\u017deljko Kereta","orcid":"https://orcid.org/0000-0003-2805-0037"},"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":"Zeljko Kereta","raw_affiliation_strings":["Department of Computer Science, University College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, London, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060137921","display_name":"Claudio Estatico","orcid":"https://orcid.org/0000-0003-0948-6687"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Estatico","raw_affiliation_strings":["Dip. di Matematica, Universit\u00e0 di Genova, Via Dodecaneso 35, 16146, Genoa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Matematica, Universit\u00e0 di Genova, Via Dodecaneso 35, 16146, Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019449011","display_name":"Luca Calatroni","orcid":"https://orcid.org/0000-0003-3887-1859"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210150884","display_name":"Fondation Sophia Antipolis","ror":"https://ror.org/05nkcfv27","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210150884"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Luca Calatroni","raw_affiliation_strings":["CNRS, UCA, Inria, Laboratoire I3S, 06903, Sophia-Antipolis, France","CNRS, Universit\u00e9 C\u00f4te d'Azur, Sophia-Antipolis, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, UCA, Inria, Laboratoire I3S, 06903, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Universit\u00e9 C\u00f4te d'Azur, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210150884","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019449011"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210150884"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6814,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68173798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"457","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9965999722480774,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/banach-space","display_name":"Banach space","score":0.5466979742050171},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.511148989200592},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.500208854675293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.499157190322876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4920136630535126},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.49100926518440247},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.4738122522830963},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4340454339981079},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42556676268577576},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.41293445229530334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3990766108036041},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33413374423980713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32767966389656067},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1389850378036499},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08463230729103088}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5466979742050171},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.511148989200592},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.500208854675293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.499157190322876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4920136630535126},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.49100926518440247},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.4738122522830963},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4340454339981079},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42556676268577576},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.41293445229530334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3990766108036041},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33413374423980713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32767966389656067},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1389850378036499},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08463230729103088},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-31975-4_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-31975-4_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-04031273v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04031273","pdf_url":"https://hal.science/hal-04031273/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IX conference on Scale Space and Variational Methods in Computer Vision 2023, May 2023, Santa margherita di Pula, Italy. pp.457-470, &#x27E8;10.1007/978-3-031-31975-4_35&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:iris.unige.it:11567/1151515","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/1151515","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"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":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04031273v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04031273","pdf_url":"https://hal.science/hal-04031273/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IX conference on Scale Space and Variational Methods in Computer Vision 2023, May 2023, Santa margherita di Pula, Italy. pp.457-470, &#x27E8;10.1007/978-3-031-31975-4_35&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1092609934","display_name":null,"funder_award_id":"ANR-21-CE48-0008","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2256364591","display_name":null,"funder_award_id":"ANR-22-CE48-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2343787110","display_name":"Stochastic iterative regularization: theory, algorithms and applications","funder_award_id":"EP/T000864/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2510020596","display_name":null,"funder_award_id":"777826","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G2543385244","display_name":null,"funder_award_id":"EP/T000864/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5045220161","display_name":null,"funder_award_id":"H2020","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5440873425","display_name":"Stochastic Gradient Descent in Banach Spaces","funder_award_id":"EP/X010740/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4376455713.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W632810616","https://openalex.org/W1560990725","https://openalex.org/W1754711404","https://openalex.org/W1994616650","https://openalex.org/W2019065055","https://openalex.org/W2036838083","https://openalex.org/W2037994867","https://openalex.org/W2039466093","https://openalex.org/W2070030655","https://openalex.org/W2135294617","https://openalex.org/W2491397072","https://openalex.org/W2500583786","https://openalex.org/W2941728916","https://openalex.org/W3128967071","https://openalex.org/W3182443711","https://openalex.org/W4226088425","https://openalex.org/W4231001225","https://openalex.org/W4245503300","https://openalex.org/W4293811975","https://openalex.org/W4299416517","https://openalex.org/W4313595262"],"related_works":["https://openalex.org/W4385609682","https://openalex.org/W4234593354","https://openalex.org/W2913271688","https://openalex.org/W1507633639","https://openalex.org/W2118190631","https://openalex.org/W2130314481","https://openalex.org/W4389775782","https://openalex.org/W310085760","https://openalex.org/W4289099368","https://openalex.org/W2905657197"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
