{"id":"https://openalex.org/W2541354130","doi":"https://doi.org/10.1109/icecs.2004.1399742","title":"Minimax sampling with arbitrary spaces","display_name":"Minimax sampling with arbitrary spaces","publication_year":2005,"publication_date":"2005-03-31","ids":{"openalex":"https://openalex.org/W2541354130","doi":"https://doi.org/10.1109/icecs.2004.1399742","mag":"2541354130"},"language":"en","primary_location":{"id":"doi:10.1109/icecs.2004.1399742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2004.1399742","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 11th IEEE International Conference on Electronics, Circuits and Systems, 2004. ICECS 2004.","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/A5005913897","display_name":"Yonina C. Eldar","orcid":"https://orcid.org/0000-0003-4358-5304"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Y.C. Eldar","raw_affiliation_strings":["Department of Electrical Engineering, Technion City, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080871408","display_name":"Tsvi G. Dvorkind","orcid":"https://orcid.org/0000-0001-8941-897X"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"T.G. Dvorkind","raw_affiliation_strings":["Department of Electrical Engineering, Technion City, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005913897"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.2454,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66167283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"128","issue":null,"first_page":"559","last_page":"562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.998199999332428,"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":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.8332059979438782},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.627692699432373},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5734512209892273},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.563766360282898},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5632542967796326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5351238250732422},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5288984179496765},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5254147052764893},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4755009114742279},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.47179216146469116},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.46393659710884094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4421979784965515},{"id":"https://openalex.org/keywords/reconstruction-algorithm","display_name":"Reconstruction algorithm","score":0.4421800971031189},{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.43231523036956787},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3586706519126892},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2858893871307373},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2297775149345398},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.20136699080467224},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.1779782772064209},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10365837812423706}],"concepts":[{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.8332059979438782},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.627692699432373},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5734512209892273},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.563766360282898},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5632542967796326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5351238250732422},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5288984179496765},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5254147052764893},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4755009114742279},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.47179216146469116},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.46393659710884094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4421979784965515},{"id":"https://openalex.org/C2779898584","wikidata":"https://www.wikidata.org/wiki/Q7820109","display_name":"Reconstruction algorithm","level":3,"score":0.4421800971031189},{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.43231523036956787},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3586706519126892},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2858893871307373},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2297775149345398},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.20136699080467224},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.1779782772064209},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10365837812423706},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icecs.2004.1399742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2004.1399742","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 11th IEEE International Conference on Electronics, Circuits and Systems, 2004. ICECS 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W646009186","https://openalex.org/W1640351101","https://openalex.org/W2013180153","https://openalex.org/W2088188946","https://openalex.org/W2184811768","https://openalex.org/W3127686677","https://openalex.org/W4285719527","https://openalex.org/W6632360996"],"related_works":["https://openalex.org/W2077694017","https://openalex.org/W2097754634","https://openalex.org/W2753113106","https://openalex.org/W2087312114","https://openalex.org/W2031832834","https://openalex.org/W2055365636","https://openalex.org/W2077148454","https://openalex.org/W2537408670","https://openalex.org/W4386634531","https://openalex.org/W2031629850"],"abstract_inverted_index":{"We":[0,78],"consider":[1],"non-ideal":[2],"sampling":[3,10],"and":[4,11,63,82],"reconstruction":[5,12,27,33,45,76,96,105],"schemes":[6],"in":[7,31,74,94],"which":[8],"the":[9,17,29,32,41,55,60,64,72,75,88,95,103],"spaces":[13],"as":[14,16],"well":[15],"input":[18,89],"signal":[19,30,73,90],"can":[20,101],"be":[21],"arbitrary.":[22],"To":[23],"obtain":[24],"a":[25,47,84],"good":[26],"of":[28,71],"space,":[34,97],"from":[35],"arbitrary":[36],"samples,":[37],"we":[38],"suggest":[39],"processing":[40],"samples":[42],"prior":[43],"to":[44,53],"with":[46],"linear":[48],"transformation":[49],"that":[50,86],"is":[51],"designed":[52],"minimize":[54],"worst-case":[56],"squared-norm":[57],"error":[58],"between":[59],"reconstructed":[61],"signal,":[62],"best":[65],"possible":[66],"(but":[67],"usually":[68],"unattainable)":[69],"approximation":[70],"space.":[77],"show":[79],"both":[80],"theoretically":[81],"through":[83],"simulation":[85],"if":[87],"does":[91],"not":[92],"lie":[93],"then":[98],"this":[99,110],"method":[100,106],"outperform":[102],"consistent":[104],"previously":[107],"proposed":[108],"for":[109],"problem.":[111]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}