{"id":"https://openalex.org/W4404604060","doi":"https://doi.org/10.1007/s00211-024-01439-2","title":"A sparse optimization approach to infinite infimal convolution regularization","display_name":"A sparse optimization approach to infinite infimal convolution regularization","publication_year":2024,"publication_date":"2024-11-21","ids":{"openalex":"https://openalex.org/W4404604060","doi":"https://doi.org/10.1007/s00211-024-01439-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-024-01439-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-024-01439-2","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":true,"oa_status":"green","oa_url":"https://ris.utwente.nl/ws/files/473218519/s00211-024-01439-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060778033","display_name":"Kristian Bredies","orcid":"https://orcid.org/0000-0001-7140-043X"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Kristian Bredies","raw_affiliation_strings":["Department of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010, Graz, Austria"],"raw_orcid":"https://orcid.org/0000-0001-7140-043X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086121807","display_name":"Marcello Carioni","orcid":"https://orcid.org/0000-0002-2282-4348"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Marcello Carioni","raw_affiliation_strings":["Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-2282-4348","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024313766","display_name":"Martin H\u00f6ller","orcid":"https://orcid.org/0000-0002-2895-2375"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Martin Holler","raw_affiliation_strings":["Department of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010, Graz, Austria"],"raw_orcid":"https://orcid.org/0000-0002-2895-2375","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Scientific Computing, University of Graz, Heinrichstra\u00dfe 36, 8010, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054476488","display_name":"Yu. M. Korolev","orcid":"https://orcid.org/0000-0002-6339-652X"},"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":"Yury Korolev","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK"],"raw_orcid":"https://orcid.org/0000-0002-6339-652X","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033880300","display_name":"Carola\u2010Bibiane Sch\u00f6nlieb","orcid":"https://orcid.org/0000-0003-0099-6306"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Carola-Bibiane Sch\u00f6nlieb","raw_affiliation_strings":["Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5086121807"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.4405,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89372807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"157","issue":"1","first_page":"41","last_page":"96"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9897000193595886,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8619251251220703},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5272939205169678},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.5141471028327942},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5108189582824707},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.48448750376701355},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4540572464466095},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.4274025559425354},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4229416847229004},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.3918994665145874},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38345032930374146},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3453751802444458},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3069573938846588}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8619251251220703},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5272939205169678},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.5141471028327942},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5108189582824707},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.48448750376701355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4540572464466095},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.4274025559425354},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4229416847229004},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3918994665145874},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38345032930374146},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3453751802444458},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3069573938846588},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-024-01439-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-024-01439-2","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:ris.utwente.nl:publications/44323b91-65a0-4fd4-84be-61c409c96069","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/44323b91-65a0-4fd4-84be-61c409c96069","pdf_url":"https://ris.utwente.nl/ws/files/473218519/s00211-024-01439-2.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Bredies, K, Carioni, M, Holler, M, Korolev, Y & Sch\u00f6nlieb, C B 2025, 'A sparse optimization approach to infinite infimal convolution regularization', Numerische Mathematik, vol. 157, no. 1, pp. 41-96. https://doi.org/10.1007/s00211-024-01439-2","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:ris.utwente.nl:publications/bfd96ed2-eadc-404b-9d94-8cb63fb932da","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/bfd96ed2-eadc-404b-9d94-8cb63fb932da","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:ris.utwente.nl:publications/44323b91-65a0-4fd4-84be-61c409c96069","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/44323b91-65a0-4fd4-84be-61c409c96069","pdf_url":"https://ris.utwente.nl/ws/files/473218519/s00211-024-01439-2.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Bredies, K, Carioni, M, Holler, M, Korolev, Y & Sch\u00f6nlieb, C B 2025, 'A sparse optimization approach to infinite infimal convolution regularization', Numerische Mathematik, vol. 157, no. 1, pp. 41-96. https://doi.org/10.1007/s00211-024-01439-2","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2203179303","display_name":null,"funder_award_id":"R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2763947431","display_name":"Nonlocal Methods for Arbitrary Data Sources","funder_award_id":"777826","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2861870519","display_name":"Robust and Efficient Analysis Approaches of Remote Imagery for Assessing Population and Forest Health in India","funder_award_id":"EP/T003553/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2978676218","display_name":null,"funder_award_id":"EP/S026045/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3081709163","display_name":null,"funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"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/G3234299682","display_name":null,"funder_award_id":"EP/V003615/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3341554066","display_name":null,"funder_award_id":"EP/R014604/","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3691759950","display_name":null,"funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5346533639","display_name":"Regularisation theory in the data driven setting","funder_award_id":"EP/V003615/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5450091064","display_name":"Isaac Newton Institute for Mathematical Sciences","funder_award_id":"EP/R014604/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6096796963","display_name":"Cambridge Mathematics of Information in Healthcare (CMIH)","funder_award_id":"EP/T017961/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6226214964","display_name":null,"funder_award_id":"EP/R014604","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6579398875","display_name":"EPSRC Centre for Mathematical and Statistical Analysis of Multimodal Clinical Imaging","funder_award_id":"EP/N014588/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7534764778","display_name":"Combining Knowledge And Data Driven Approaches to Inverse Imaging Problems","funder_award_id":"EP/V029428/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences 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"},{"id":"https://openalex.org/G983926611","display_name":null,"funder_award_id":"P 29192","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320335277","display_name":"National Physical Laboratory","ror":null},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404604060.pdf"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W27423464","https://openalex.org/W137390859","https://openalex.org/W207373900","https://openalex.org/W413380880","https://openalex.org/W1480714962","https://openalex.org/W1488881187","https://openalex.org/W1577338488","https://openalex.org/W1590432342","https://openalex.org/W1975490585","https://openalex.org/W1978859603","https://openalex.org/W1980929117","https://openalex.org/W1992752623","https://openalex.org/W1994569450","https://openalex.org/W2000594266","https://openalex.org/W2011095781","https://openalex.org/W2039939700","https://openalex.org/W2040378863","https://openalex.org/W2082675951","https://openalex.org/W2103559027","https://openalex.org/W2136885855","https://openalex.org/W2155447220","https://openalex.org/W2254661996","https://openalex.org/W2326045555","https://openalex.org/W2329900887","https://openalex.org/W2479702039","https://openalex.org/W2605512869","https://openalex.org/W2613935777","https://openalex.org/W2765479575","https://openalex.org/W2809809415","https://openalex.org/W2890042903","https://openalex.org/W2910941978","https://openalex.org/W2922520386","https://openalex.org/W2923228466","https://openalex.org/W2962691586","https://openalex.org/W2962704459","https://openalex.org/W2963688033","https://openalex.org/W3013274015","https://openalex.org/W3035792190","https://openalex.org/W3042329411","https://openalex.org/W3088481514","https://openalex.org/W3098729858","https://openalex.org/W3099169366","https://openalex.org/W3117326036","https://openalex.org/W3154224125","https://openalex.org/W3156024029","https://openalex.org/W3174440058","https://openalex.org/W3199008935","https://openalex.org/W3199436419","https://openalex.org/W3212016137","https://openalex.org/W4200632101","https://openalex.org/W4225871634","https://openalex.org/W4241008512","https://openalex.org/W4299992048","https://openalex.org/W4376456672","https://openalex.org/W4384200833","https://openalex.org/W4389574193"],"related_works":["https://openalex.org/W2533995846","https://openalex.org/W3131586246","https://openalex.org/W2071936224","https://openalex.org/W1973082942","https://openalex.org/W2977407579","https://openalex.org/W2011931970","https://openalex.org/W2011780184","https://openalex.org/W1998485595","https://openalex.org/W2472662892","https://openalex.org/W4295951407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-05T09:01:59.212387","created_date":"2025-10-10T00:00:00"}
