{"id":"https://openalex.org/W4213170186","doi":"https://doi.org/10.1515/cmam-2021-0131","title":"Sparse Data-Driven Quadrature Rules via \u2113<sup> <i>p</i> </sup>-Quasi-Norm Minimization","display_name":"Sparse Data-Driven Quadrature Rules via \u2113<sup> <i>p</i> </sup>-Quasi-Norm Minimization","publication_year":2022,"publication_date":"2022-02-14","ids":{"openalex":"https://openalex.org/W4213170186","doi":"https://doi.org/10.1515/cmam-2021-0131"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2021-0131","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2021-0131","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","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/A5080770293","display_name":"Mattia Manucci","orcid":"https://orcid.org/0000-0002-8294-4851"},"institutions":[{"id":"https://openalex.org/I4210150763","display_name":"Gran Sasso Science Institute","ror":"https://ror.org/043qcb444","country_code":"IT","type":"education","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210150763"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Mattia Manucci","raw_affiliation_strings":["Gran Sasso Science Institute , via Crispi 7 , L\u2019Aquila , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gran Sasso Science Institute , via Crispi 7 , L\u2019Aquila , Italy","institution_ids":["https://openalex.org/I4210150763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113837383","display_name":"Jos\u00e9 Vicente Aguado","orcid":null},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jose Vicente Aguado","raw_affiliation_strings":["\u00c9cole Centrale de Nantes , 1 Rue de la No\u00eb , Nantes , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Centrale de Nantes , 1 Rue de la No\u00eb , Nantes , France","institution_ids":["https://openalex.org/I100445878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008848609","display_name":"Domenico Borzacchiello","orcid":"https://orcid.org/0000-0001-5382-3172"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Domenico Borzacchiello","raw_affiliation_strings":["\u00c9cole Centrale de Nantes , 1 Rue de la No\u00eb , Nantes , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Centrale de Nantes , 1 Rue de la No\u00eb , Nantes , France","institution_ids":["https://openalex.org/I100445878"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080770293"],"corresponding_institution_ids":["https://openalex.org/I4210150763"],"apc_list":null,"apc_paid":null,"fwci":0.8298,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64266424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"2","first_page":"389","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9961000084877014,"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/norm","display_name":"Norm (philosophy)","score":0.5609151124954224},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.538764238357544},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.528001070022583},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5132917761802673},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.4992074966430664},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.480810284614563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4648166298866272},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44053059816360474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4042079448699951},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2195201814174652},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.11873579025268555}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5609151124954224},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.538764238357544},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.528001070022583},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5132917761802673},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.4992074966430664},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.480810284614563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4648166298866272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44053059816360474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4042079448699951},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2195201814174652},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.11873579025268555},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2021-0131","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2021-0131","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1902394114","https://openalex.org/W1971258090","https://openalex.org/W2012961725","https://openalex.org/W2028781966","https://openalex.org/W2037323396","https://openalex.org/W2047591100","https://openalex.org/W2049753327","https://openalex.org/W2058910428","https://openalex.org/W2063558363","https://openalex.org/W2095886698","https://openalex.org/W2110770808","https://openalex.org/W2111067490","https://openalex.org/W2117756735","https://openalex.org/W2122315118","https://openalex.org/W2133041109","https://openalex.org/W2500110668","https://openalex.org/W2538389451","https://openalex.org/W2767249151","https://openalex.org/W2789821984","https://openalex.org/W2806479010","https://openalex.org/W2973151432","https://openalex.org/W3112189530","https://openalex.org/W3168035670","https://openalex.org/W3207282223","https://openalex.org/W4301014558"],"related_works":["https://openalex.org/W2549922247","https://openalex.org/W2300663769","https://openalex.org/W1939631077","https://openalex.org/W1523391825","https://openalex.org/W2152231009","https://openalex.org/W2735239078","https://openalex.org/W2665564927","https://openalex.org/W2150755939","https://openalex.org/W2152589265","https://openalex.org/W2071589878"],"abstract_inverted_index":{"Abstract":[0],"This":[1,26],"paper":[2],"is":[3],"concerned":[4],"with":[5],"the":[6,9,63,100,114,127,159,163],"use":[7],"of":[8,65,130],"focal":[10],"underdetermined":[11],"system":[12],"solver":[13],"to":[14,51,81,125,137,158],"recover":[15],"sparse":[16],"empirical":[17],"quadrature":[18,86],"rules":[19,87],"for":[20,30,99],"parametrized":[21],"integrals":[22],"from":[23,117],"existing":[24],"data.":[25],"algorithm,":[27],"originally":[28],"proposed":[29],"image":[31],"and":[32,133,150,162],"signal":[33],"reconstruction,":[34],"relies":[35],"on":[36],"an":[37,93],"approximated":[38],"<m:math":[39,52,66,101,139],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[40,53,67,102,140],"<m:msup>":[41,54,103,141],"<m:mi":[42,55,104,142],"mathvariant=\"normal\">\u2113</m:mi>":[43,56,105,143],"<m:mi>p</m:mi>":[44,71],"</m:msup>":[45,58,107,145],"</m:math>":[46,59,75,108,146],"{\\ell^{p}}":[47],"-quasi-norm":[48],"minimization.":[49],"Compared":[50],"<m:mn>1</m:mn>":[57,73,106,144],"{\\ell^{1}}":[60,109,147],"-norm":[61,110,148],"minimization,":[62],"choice":[64],"<m:mrow>":[68],"<m:mn>0</m:mn>":[69],"<m:mo>&lt;</m:mo>":[70,72],"</m:mrow>":[74],"{0&lt;p&lt;1}":[76],"provides":[77],"a":[78,94],"natural":[79],"framework":[80],"accommodate":[82],"usual":[83],"constraints":[84],"which":[85],"must":[88],"fulfil.":[89],"We":[90],"also":[91],"extend":[92],"priori":[95],"error":[96,115],"estimate":[97],"available":[98],"formulation":[111],"by":[112],"considering":[113],"resulting":[116],"data":[118],"compression.":[119],"Finally,":[120],"we":[121],"present":[122],"numerical":[123,128,160],"examples":[124,161],"investigate":[126],"performance":[129],"our":[131,135],"method":[132],"compare":[134],"results":[136],"both":[138],"minimization":[149],"nonnegative":[151],"least":[152],"squares":[153],"method.":[154],"Matlab":[155],"codes":[156],"related":[157],"algorithms":[164],"described":[165],"are":[166],"provided.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}