{"id":"https://openalex.org/W2889292721","doi":"https://doi.org/10.1007/s10915-018-0816-5","title":"An $$\\ell ^2-\\ell ^q$$ Regularization Method for Large Discrete Ill-Posed Problems","display_name":"An $$\\ell ^2-\\ell ^q$$ Regularization Method for Large Discrete Ill-Posed Problems","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2889292721","doi":"https://doi.org/10.1007/s10915-018-0816-5","mag":"2889292721"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0816-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0816-5","pdf_url":null,"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":null,"license_id":null,"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":"green","oa_url":"http://hdl.handle.net/11584/278181","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074424812","display_name":"Alessandro Buccini","orcid":"https://orcid.org/0000-0002-6456-4150"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alessandro Buccini","raw_affiliation_strings":["Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA"],"raw_orcid":"https://orcid.org/0000-0002-6456-4150","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA","institution_ids":["https://openalex.org/I149910238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072817181","display_name":"Lothar Reichel","orcid":"https://orcid.org/0000-0003-1729-6816"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lothar Reichel","raw_affiliation_strings":["Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA","institution_ids":["https://openalex.org/I149910238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074424812"],"corresponding_institution_ids":["https://openalex.org/I149910238"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":6.0819,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.97574178,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"78","issue":"3","first_page":"1526","last_page":"1549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9937000274658203,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.8050220012664795},{"id":"https://openalex.org/keywords/backus\u2013gilbert-method","display_name":"Backus\u2013Gilbert method","score":0.6855378150939941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6730518937110901},{"id":"https://openalex.org/keywords/proximal-gradient-methods-for-learning","display_name":"Proximal gradient methods for learning","score":0.6541028022766113},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.5585748553276062},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5557385087013245},{"id":"https://openalex.org/keywords/well-posed-problem","display_name":"Well-posed problem","score":0.5368037819862366},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5072874426841736},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46168914437294006},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.45719802379608154},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43502679467201233},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4293272793292999},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.42702776193618774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3693563938140869},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26706117391586304},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.188328355550766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15309643745422363},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10407865047454834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09820333123207092},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07633611559867859},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06635984778404236}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.8050220012664795},{"id":"https://openalex.org/C27872270","wikidata":"https://www.wikidata.org/wiki/Q4839810","display_name":"Backus\u2013Gilbert method","level":5,"score":0.6855378150939941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6730518937110901},{"id":"https://openalex.org/C79248915","wikidata":"https://www.wikidata.org/wiki/Q17086776","display_name":"Proximal gradient methods for learning","level":5,"score":0.6541028022766113},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.5585748553276062},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5557385087013245},{"id":"https://openalex.org/C106214006","wikidata":"https://www.wikidata.org/wiki/Q1455898","display_name":"Well-posed problem","level":2,"score":0.5368037819862366},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5072874426841736},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46168914437294006},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.45719802379608154},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43502679467201233},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4293272793292999},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.42702776193618774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3693563938140869},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26706117391586304},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.188328355550766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15309643745422363},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10407865047454834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09820333123207092},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07633611559867859},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06635984778404236},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-018-0816-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0816-5","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:iris.unica.it:11584/278181","is_oa":true,"landing_page_url":"http://hdl.handle.net/11584/278181","pdf_url":"http://hdl.handle.net/11584/278181","source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unica.it:11584/278181","is_oa":true,"landing_page_url":"http://hdl.handle.net/11584/278181","pdf_url":"http://hdl.handle.net/11584/278181","source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7941110382","display_name":"DMREF: Collaborative Research: Materials Engineering of Columnar and Living Liquid Crystals via Experimental Characterization, Mathematical Modeling, and Simulation","funder_award_id":"1729509","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8171783539","display_name":"Matrix Functions and Network Analysis","funder_award_id":"1720259","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2889292721.pdf","grobid_xml":"https://content.openalex.org/works/W2889292721.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W32142590","https://openalex.org/W1411888015","https://openalex.org/W1488490038","https://openalex.org/W1503425191","https://openalex.org/W1570089119","https://openalex.org/W1594234351","https://openalex.org/W1859434065","https://openalex.org/W1992609597","https://openalex.org/W1999788007","https://openalex.org/W2002916884","https://openalex.org/W2022260585","https://openalex.org/W2028496557","https://openalex.org/W2030058292","https://openalex.org/W2036513962","https://openalex.org/W2062853909","https://openalex.org/W2077495455","https://openalex.org/W2086670019","https://openalex.org/W2095222360","https://openalex.org/W2126132686","https://openalex.org/W2148062657","https://openalex.org/W2176514025","https://openalex.org/W2501504448","https://openalex.org/W2512523917","https://openalex.org/W2573734040","https://openalex.org/W2621986455","https://openalex.org/W4246327874","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1977073705","https://openalex.org/W2807240017","https://openalex.org/W2183525982","https://openalex.org/W2366023887","https://openalex.org/W2805921369","https://openalex.org/W2020951562","https://openalex.org/W2155619582","https://openalex.org/W2896323223","https://openalex.org/W2164770143","https://openalex.org/W2770422340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
