{"id":"https://openalex.org/W2753852770","doi":"https://doi.org/10.1007/s11075-018-0568-1","title":"Learning with optimal interpolation norms","display_name":"Learning with optimal interpolation norms","publication_year":2018,"publication_date":"2018-07-12","ids":{"openalex":"https://openalex.org/W2753852770","doi":"https://doi.org/10.1007/s11075-018-0568-1","mag":"2753852770"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0568-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0568-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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","Department of Mathematics, North Carolina State University, Raleigh, 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"]},{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001717156","display_name":"Andrew M. McDonald","orcid":"https://orcid.org/0000-0003-1582-956X"},"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":"Andrew M. McDonald","raw_affiliation_strings":["Department of Computer Science, University College London, London, WC1E 6BT, UK","Department of Computer Science, University College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, London, WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]},{"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/A5002096458","display_name":"Charles A. Micchelli","orcid":null},"institutions":[{"id":"https://openalex.org/I113508548","display_name":"Albany State University","ror":"https://ror.org/01vme4277","country_code":"US","type":"education","lineage":["https://openalex.org/I113508548"]},{"id":"https://openalex.org/I392282","display_name":"University at Albany, State University of New York","ror":"https://ror.org/012zs8222","country_code":"US","type":"education","lineage":["https://openalex.org/I392282"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles A. Micchelli","raw_affiliation_strings":["Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, NY, 12222, USA","Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, NY, 12222, USA","institution_ids":["https://openalex.org/I113508548","https://openalex.org/I392282"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, USA","institution_ids":["https://openalex.org/I392282"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034260726","display_name":"Massimiliano Pontil","orcid":"https://orcid.org/0000-0001-9415-098X"},"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/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","IT"],"is_corresponding":false,"raw_author_name":"Massimiliano Pontil","raw_affiliation_strings":["Department of Computer Science, University College London, London, WC1E 6BT, UK","Istituto Italiano di Tecnologia, 16163, Genoa, Italy","Istituto Italiano di Tecnologia, Genoa, Italy","Department of Computer Science, University College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, London, WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Istituto Italiano di Tecnologia, 16163, Genoa, Italy","institution_ids":["https://openalex.org/I30771326"]},{"raw_affiliation_string":"Istituto Italiano di Tecnologia, Genoa, Italy","institution_ids":["https://openalex.org/I30771326"]},{"raw_affiliation_string":"Department of Computer Science, University College London, London, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5081924048"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5335,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57059843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"81","issue":"2","first_page":"695","last_page":"717"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/iterated-function","display_name":"Iterated function","score":0.7354100942611694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.702375590801239},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5926352739334106},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5353857278823853},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5023691654205322},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49172523617744446},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4704790711402893},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.4624590575695038},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46012258529663086},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4504264295101166},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4399578869342804},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.353580117225647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2744098901748657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20116278529167175},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.173140287399292}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7354100942611694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.702375590801239},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5926352739334106},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5353857278823853},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5023691654205322},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49172523617744446},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4704790711402893},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.4624590575695038},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46012258529663086},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4504264295101166},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4399578869342804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.353580117225647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2744098901748657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20116278529167175},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.173140287399292},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-018-0568-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0568-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2727497835","display_name":"Closed-Loop Multisensory Brain-Computer Interface for Enhanced Decision Accuracy","funder_award_id":"EP/P009069/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5987706815","display_name":null,"funder_award_id":"EP/P009069/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G791445295","display_name":null,"funder_award_id":"CCF-1715671","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8987281500","display_name":null,"funder_award_id":"DMS-1522339","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/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W987811690","https://openalex.org/W1493782845","https://openalex.org/W1520871589","https://openalex.org/W1533889494","https://openalex.org/W1539012881","https://openalex.org/W1544342974","https://openalex.org/W1574851760","https://openalex.org/W1590313574","https://openalex.org/W1970554427","https://openalex.org/W1971478618","https://openalex.org/W1994309289","https://openalex.org/W2000062601","https://openalex.org/W2003327120","https://openalex.org/W2019247511","https://openalex.org/W2024165284","https://openalex.org/W2030628896","https://openalex.org/W2031823405","https://openalex.org/W2065180801","https://openalex.org/W2071406115","https://openalex.org/W2078677240","https://openalex.org/W2087018183","https://openalex.org/W2093545205","https://openalex.org/W2103106600","https://openalex.org/W2109033859","https://openalex.org/W2110742393","https://openalex.org/W2114605231","https://openalex.org/W2116343548","https://openalex.org/W2118080949","https://openalex.org/W2119122547","https://openalex.org/W2121033924","https://openalex.org/W2122090912","https://openalex.org/W2128610923","https://openalex.org/W2133821366","https://openalex.org/W2138019504","https://openalex.org/W2140089781","https://openalex.org/W2140514146","https://openalex.org/W2154389918","https://openalex.org/W2159023782","https://openalex.org/W2167077875","https://openalex.org/W2325559987","https://openalex.org/W2508114009","https://openalex.org/W2949857788","https://openalex.org/W2962768415","https://openalex.org/W2963696951","https://openalex.org/W2963852766","https://openalex.org/W2964308881","https://openalex.org/W3099503819","https://openalex.org/W3124617746","https://openalex.org/W4205213118","https://openalex.org/W4249667877","https://openalex.org/W4254573138"],"related_works":["https://openalex.org/W2941159405","https://openalex.org/W2119106660","https://openalex.org/W2790364693","https://openalex.org/W2377100022","https://openalex.org/W1964937633","https://openalex.org/W2371274536","https://openalex.org/W1971999822","https://openalex.org/W2005085909","https://openalex.org/W1997449464","https://openalex.org/W2971154439"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
