{"id":"https://openalex.org/W2256376045","doi":"https://doi.org/10.1007/s10107-017-1133-8","title":"Consistent learning by composite proximal thresholding","display_name":"Consistent learning by composite proximal thresholding","publication_year":2017,"publication_date":"2017-03-25","ids":{"openalex":"https://openalex.org/W2256376045","doi":"https://doi.org/10.1007/s10107-017-1133-8","mag":"2256376045"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-017-1133-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1133-8","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5081924048","display_name":"Patrick L. Combettes","orcid":"https://orcid.org/0000-0001-9730-5932"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Patrick L. Combettes","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017463552","display_name":"Saverio Salzo","orcid":"https://orcid.org/0000-0003-0494-9101"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"Saverio Salzo","raw_affiliation_strings":["Laboratory for Computational and Statistical Learning, Massachusetts Institute of Technology and Istituto Italiano di Tecnologia, 16163, Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Computational and Statistical Learning, Massachusetts Institute of Technology and Istituto Italiano di Tecnologia, 16163, Genova, Italy","institution_ids":["https://openalex.org/I30771326","https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053468228","display_name":"Silvia Villa","orcid":"https://orcid.org/0000-0002-6232-5631"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Silvia Villa","raw_affiliation_strings":["Dipartimento di Matematica, Politecnico di Milano, 20133, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Politecnico di Milano, 20133, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081924048"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.303,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8606577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"167","issue":"1","first_page":"99","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9962000250816345,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6532604098320007},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.6343838572502136},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.5702121257781982},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41983309388160706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4192866086959839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3166888952255249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27162492275238037},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15159004926681519},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09917029738426208}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6532604098320007},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.6343838572502136},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.5702121257781982},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41983309388160706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4192866086959839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3166888952255249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27162492275238037},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15159004926681519},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09917029738426208}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-017-1133-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1133-8","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:iris.unige.it:11567/936105","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/936105","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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1654459","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1654459","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/1029118","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/1029118","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W340056678","https://openalex.org/W611187539","https://openalex.org/W613043106","https://openalex.org/W1484867920","https://openalex.org/W1540155273","https://openalex.org/W1568288633","https://openalex.org/W1967020502","https://openalex.org/W1968699683","https://openalex.org/W1972968086","https://openalex.org/W1973729051","https://openalex.org/W1983579205","https://openalex.org/W1993880409","https://openalex.org/W1997453445","https://openalex.org/W1999132491","https://openalex.org/W2006262045","https://openalex.org/W2014725748","https://openalex.org/W2019786292","https://openalex.org/W2030161963","https://openalex.org/W2038010370","https://openalex.org/W2045210749","https://openalex.org/W2047028564","https://openalex.org/W2047278710","https://openalex.org/W2052432211","https://openalex.org/W2088447480","https://openalex.org/W2102760656","https://openalex.org/W2103336901","https://openalex.org/W2110652811","https://openalex.org/W2114605231","https://openalex.org/W2115706991","https://openalex.org/W2122825543","https://openalex.org/W2123856749","https://openalex.org/W2142280715","https://openalex.org/W2168914046","https://openalex.org/W2183714747","https://openalex.org/W2216134724","https://openalex.org/W2262262623","https://openalex.org/W2340952818","https://openalex.org/W2765202580","https://openalex.org/W2951074469","https://openalex.org/W2963099468","https://openalex.org/W3104579394","https://openalex.org/W3176773450","https://openalex.org/W3183134511","https://openalex.org/W4234698323","https://openalex.org/W4247571494"],"related_works":["https://openalex.org/W2953058328","https://openalex.org/W1542224353","https://openalex.org/W1661087619","https://openalex.org/W2750730210","https://openalex.org/W2116854923","https://openalex.org/W2236974868","https://openalex.org/W4312766348","https://openalex.org/W2730764323","https://openalex.org/W2106145857","https://openalex.org/W4377294438"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}