{"id":"https://openalex.org/W2805475709","doi":"https://doi.org/10.1109/dsw.2018.8439120","title":"NON-NEGATIVE SUPER-RESOLUTION IS STABLE","display_name":"NON-NEGATIVE SUPER-RESOLUTION IS STABLE","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2805475709","doi":"https://doi.org/10.1109/dsw.2018.8439120","mag":"2805475709"},"language":"en","primary_location":{"id":"doi:10.1109/dsw.2018.8439120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsw.2018.8439120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Data Science Workshop (DSW)","raw_type":"proceedings-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/A5086280273","display_name":"Armin Eftekhari","orcid":"https://orcid.org/0000-0001-8202-6316"},"institutions":[{"id":"https://openalex.org/I4210128584","display_name":"The Alan Turing Institute","ror":"https://ror.org/035dkdb55","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210128584"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Armin Eftekhari","raw_affiliation_strings":["Alan Turing Institute"],"affiliations":[{"raw_affiliation_string":"Alan Turing Institute","institution_ids":["https://openalex.org/I4210128584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059562923","display_name":"Jared Tanner","orcid":"https://orcid.org/0000-0002-5561-9949"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jared Tanner","raw_affiliation_strings":["University of Oxford"],"affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101752265","display_name":"Andrew Thompson","orcid":"https://orcid.org/0000-0002-4580-0357"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew Thompson","raw_affiliation_strings":["University of Oxford"],"affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000635139","display_name":"Bogdan Toader","orcid":"https://orcid.org/0000-0001-5444-2179"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bogdan Toader","raw_affiliation_strings":["University of Oxford"],"affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004281867","display_name":"Hemant Tyagi","orcid":"https://orcid.org/0009-0006-8194-7184"},"institutions":[{"id":"https://openalex.org/I4210128584","display_name":"The Alan Turing Institute","ror":"https://ror.org/035dkdb55","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210128584"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hemant Tyagi","raw_affiliation_strings":["Alan Turing Institute"],"affiliations":[{"raw_affiliation_string":"Alan Turing Institute","institution_ids":["https://openalex.org/I4210128584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5086280273"],"corresponding_institution_ids":["https://openalex.org/I4210128584"],"apc_list":null,"apc_paid":null,"fwci":0.4162,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59138947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9868999719619751,"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/uniqueness","display_name":"Uniqueness","score":0.7893927097320557},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7598826885223389},{"id":"https://openalex.org/keywords/negativity-effect","display_name":"Negativity effect","score":0.5885859131813049},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.586013674736023},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5640681982040405},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5505929589271545},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.522899329662323},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.5172720551490784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47693079710006714},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4727020263671875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4716968536376953},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.420004278421402},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3895646929740906},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.24568384885787964},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23647597432136536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19365349411964417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16042575240135193},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13609245419502258},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0771019458770752}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7893927097320557},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7598826885223389},{"id":"https://openalex.org/C7453019","wikidata":"https://www.wikidata.org/wiki/Q16254302","display_name":"Negativity effect","level":2,"score":0.5885859131813049},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.586013674736023},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5640681982040405},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5505929589271545},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.522899329662323},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.5172720551490784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47693079710006714},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4727020263671875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4716968536376953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.420004278421402},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3895646929740906},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.24568384885787964},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23647597432136536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19365349411964417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16042575240135193},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13609245419502258},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0771019458770752},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/dsw.2018.8439120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsw.2018.8439120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Data Science Workshop (DSW)","raw_type":"proceedings-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:f3c1ebde-dd6d-4ae9-8362-7a960de9c12d","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:f3c1ebde-dd6d-4ae9-8362-7a960de9c12d","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference item"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1554304031","https://openalex.org/W1985806826","https://openalex.org/W1992858116","https://openalex.org/W2017718716","https://openalex.org/W2018639632","https://openalex.org/W2033731720","https://openalex.org/W2047899869","https://openalex.org/W2049447905","https://openalex.org/W2054455698","https://openalex.org/W2057603175","https://openalex.org/W2078662211","https://openalex.org/W2093328751","https://openalex.org/W2101336703","https://openalex.org/W2108152240","https://openalex.org/W2138787877","https://openalex.org/W2155722796","https://openalex.org/W2524857034","https://openalex.org/W2565293665","https://openalex.org/W2570974182","https://openalex.org/W2791510628","https://openalex.org/W2962898451","https://openalex.org/W2963166099","https://openalex.org/W2964325628","https://openalex.org/W6633140221","https://openalex.org/W7034223973"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W2969742028"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,16,62,68,71,83,107,119,126],"problem":[3],"of":[4,18,70,118],"localizing":[5],"point":[6],"sources":[7],"on":[8],"an":[9,28],"interval":[10],"from":[11,24,51],"possibly":[12],"noisy":[13],"measurements.":[14,75],"In":[15],"absence":[17],"noise,":[19],"we":[20,47],"show":[21,55],"that":[22,56,104,115],"measurements":[23,53,63],"Chebyshev":[25],"systems":[26],"are":[27],"injective":[29],"map":[30],"for":[31,43],"non-negative":[32,49,58,121],"sparse":[33,44,120],"measures,":[34],"and":[35,54,81,92,123],"therefore":[36],"non-negativity":[37,108],"is":[38,64,106],"sufficient":[39],"to":[40,67,128],"ensure":[41],"uniqueness":[42,117],"measures.":[45],"Moreover,":[46],"characterize":[48],"solutions":[50],"inexact":[52,129],"any":[57,112],"solution":[59,69],"consistent":[60],"with":[61,73],"proportionally":[65],"close":[66],"system":[72],"exact":[74],"Our":[76],"results":[77,127],"substantially":[78],"simplify,":[79],"extend,":[80],"generalize":[82],"prior":[84],"work":[85],"by":[86,102,124],"De":[87],"Castro":[88],"et":[89,94],"al.":[90,95],"[1]":[91],"Schiebinger":[93],"[2],":[96],"which":[97],"relies":[98],"upon":[99],"sparsifying":[100],"penalties,":[101],"showing":[103],"it":[105],"constraint,":[109],"rather":[110],"than":[111],"particular":[113],"algorithm,":[114],"imposes":[116],"measure,":[122],"extending":[125],"samples.":[130]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
