{"id":"https://openalex.org/W2090792713","doi":"https://doi.org/10.1007/s00211-010-0318-3","title":"Multi-parameter regularization and its numerical realization","display_name":"Multi-parameter regularization and its numerical realization","publication_year":2010,"publication_date":"2010-07-02","ids":{"openalex":"https://openalex.org/W2090792713","doi":"https://doi.org/10.1007/s00211-010-0318-3","mag":"2090792713"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-010-0318-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0318-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5101482385","display_name":"Shuai Lu","orcid":"https://orcid.org/0000-0002-3595-6091"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"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":["AT","CN"],"is_corresponding":true,"raw_author_name":"Shuai Lu","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergstrasse 69, 4040, Linz, Austria","School of Mathematical Sciences, Fudan University, Shanghai, 200433, China"],"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergstrasse 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]},{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065828214","display_name":"Sergei V. Pereverzev","orcid":"https://orcid.org/0000-0001-5980-7026"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Sergei V. Pereverzev","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergstrasse 69, 4040, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergstrasse 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101482385"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I24943067","https://openalex.org/I4210158379"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.1693,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.96586742,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"118","issue":"1","first_page":"1","last_page":"31"},"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":0.9902999997138977,"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":0.9872000217437744,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.8226034045219421},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7907109260559082},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7270244359970093},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.6374496221542358},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6287106275558472},{"id":"https://openalex.org/keywords/backus\u2013gilbert-method","display_name":"Backus\u2013Gilbert method","score":0.5735617876052856},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4872376024723053},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.4852447509765625},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4650996923446655},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.4573785960674286},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44759657979011536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3705590069293976},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24442976713180542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2225644588470459},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.2123813033103943},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11892721056938171},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07840916514396667}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.8226034045219421},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7907109260559082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7270244359970093},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.6374496221542358},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6287106275558472},{"id":"https://openalex.org/C27872270","wikidata":"https://www.wikidata.org/wiki/Q4839810","display_name":"Backus\u2013Gilbert method","level":5,"score":0.5735617876052856},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4872376024723053},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.4852447509765625},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4650996923446655},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.4573785960674286},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44759657979011536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3705590069293976},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24442976713180542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2225644588470459},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2123813033103943},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11892721056938171},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07840916514396667}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-010-0318-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0318-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.210.1403","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.210.1403","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ricam.oeaw.ac.at/publications/reports/09/rep09-11.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W145616578","https://openalex.org/W191272896","https://openalex.org/W949806661","https://openalex.org/W1564864701","https://openalex.org/W1570089119","https://openalex.org/W1968493903","https://openalex.org/W1968731161","https://openalex.org/W1975647288","https://openalex.org/W1987632534","https://openalex.org/W1992185369","https://openalex.org/W1998220060","https://openalex.org/W2005140191","https://openalex.org/W2011178292","https://openalex.org/W2015705672","https://openalex.org/W2016554677","https://openalex.org/W2016852860","https://openalex.org/W2026102280","https://openalex.org/W2028477434","https://openalex.org/W2033242948","https://openalex.org/W2035967994","https://openalex.org/W2043258083","https://openalex.org/W2045305026","https://openalex.org/W2052400833","https://openalex.org/W2053851520","https://openalex.org/W2064257851","https://openalex.org/W2071628472","https://openalex.org/W2080838153","https://openalex.org/W2091147849","https://openalex.org/W2093828556","https://openalex.org/W2097631275","https://openalex.org/W2104290444","https://openalex.org/W2121033924","https://openalex.org/W2123845705","https://openalex.org/W2128744915","https://openalex.org/W2134413360","https://openalex.org/W2139252659","https://openalex.org/W2147898188","https://openalex.org/W2535756153","https://openalex.org/W3106513112","https://openalex.org/W3140427855","https://openalex.org/W6602628784"],"related_works":["https://openalex.org/W2366023887","https://openalex.org/W2805921369","https://openalex.org/W2394283419","https://openalex.org/W2118199608","https://openalex.org/W2069968238","https://openalex.org/W2059130945","https://openalex.org/W2807240017","https://openalex.org/W4244092552","https://openalex.org/W2030398504","https://openalex.org/W2355455483"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}