{"id":"https://openalex.org/W2152981240","doi":"https://doi.org/10.1007/s10208-012-9140-x","title":"Sobolev Duals for Random Frames and \u03a3\u0394 Quantization of Compressed Sensing Measurements","display_name":"Sobolev Duals for Random Frames and \u03a3\u0394 Quantization of Compressed Sensing Measurements","publication_year":2012,"publication_date":"2012-10-26","ids":{"openalex":"https://openalex.org/W2152981240","doi":"https://doi.org/10.1007/s10208-012-9140-x","mag":"2152981240"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-012-9140-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-012-9140-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational 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/A5029375269","display_name":"C. Si\u0307nan G\u00fcnt\u00fcrk","orcid":null},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. S. G\u00fcnt\u00fcrk","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087721458","display_name":"Mark Lammers","orcid":"https://orcid.org/0000-0003-0969-5374"},"institutions":[{"id":"https://openalex.org/I153901656","display_name":"University of North Carolina Wilmington","ror":"https://ror.org/02t0qr014","country_code":"US","type":"education","lineage":["https://openalex.org/I153901656"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Lammers","raw_affiliation_strings":["University of North Carolina, Wilmington, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina, Wilmington, USA","institution_ids":["https://openalex.org/I153901656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037280534","display_name":"Alexander M. Powell","orcid":"https://orcid.org/0000-0001-6911-1890"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. M. Powell","raw_affiliation_strings":["Vanderbilt University, Nashville, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vanderbilt University, Nashville, USA","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055778695","display_name":"Rayan Saab","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Saab","raw_affiliation_strings":["Duke University, Durham, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duke University, Durham, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001594301","display_name":"\u00d6zg\u00fcr Y\u0131lmaz","orcid":"https://orcid.org/0000-0002-4349-3859"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"\u00d6. Y\u0131lmaz","raw_affiliation_strings":["University of British Columbia, Vancouver, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5001594301"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.9473,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.96653149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":"36"},"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":0.9991999864578247,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/restricted-isometry-property","display_name":"Restricted isometry property","score":0.805504322052002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7785019874572754},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.7038019895553589},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.6145569086074829},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5519173741340637},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.550495982170105},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.49286651611328125},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.46095871925354004},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4404544532299042},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36894088983535767},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36696362495422363},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12614956498146057},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10271531343460083}],"concepts":[{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.805504322052002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7785019874572754},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7038019895553589},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6145569086074829},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5519173741340637},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.550495982170105},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.49286651611328125},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.46095871925354004},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4404544532299042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36894088983535767},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36696362495422363},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12614956498146057},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10271531343460083}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-012-9140-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-012-9140-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational 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":48,"referenced_works":["https://openalex.org/W118952169","https://openalex.org/W1480356365","https://openalex.org/W1527312120","https://openalex.org/W1674742109","https://openalex.org/W1874865363","https://openalex.org/W1966000679","https://openalex.org/W1976318178","https://openalex.org/W1976761149","https://openalex.org/W1989877067","https://openalex.org/W2008840379","https://openalex.org/W2011360105","https://openalex.org/W2014771970","https://openalex.org/W2015037592","https://openalex.org/W2018342351","https://openalex.org/W2020390700","https://openalex.org/W2020509300","https://openalex.org/W2030449718","https://openalex.org/W2058936451","https://openalex.org/W2060430274","https://openalex.org/W2098573079","https://openalex.org/W2099100030","https://openalex.org/W2107949992","https://openalex.org/W2114147096","https://openalex.org/W2116837832","https://openalex.org/W2118016489","https://openalex.org/W2122645855","https://openalex.org/W2126749541","https://openalex.org/W2127300249","https://openalex.org/W2128804753","https://openalex.org/W2135046866","https://openalex.org/W2141556672","https://openalex.org/W2142658489","https://openalex.org/W2145096794","https://openalex.org/W2154423986","https://openalex.org/W2163296328","https://openalex.org/W2163844768","https://openalex.org/W2164452299","https://openalex.org/W2168494960","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2340870620","https://openalex.org/W2610857016","https://openalex.org/W2798707604","https://openalex.org/W3043060850","https://openalex.org/W3103704874","https://openalex.org/W4250955649","https://openalex.org/W4255333822","https://openalex.org/W4255512111"],"related_works":["https://openalex.org/W2980405707","https://openalex.org/W2033753750","https://openalex.org/W2080077169","https://openalex.org/W2737917238","https://openalex.org/W2963956021","https://openalex.org/W4301946563","https://openalex.org/W1847062822","https://openalex.org/W2950578642","https://openalex.org/W2166659185","https://openalex.org/W3216758697"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}
