{"id":"https://openalex.org/W44239683","doi":null,"title":"Deterministic compressed sensing","display_name":"Deterministic compressed sensing","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W44239683","mag":"44239683"},"language":"en","primary_location":{"id":"mag:44239683","doi":null,"is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA571272","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5111958277","display_name":"A.R. Calderbank","orcid":"https://orcid.org/0000-0003-2084-9717","observed_orcids":["https://orcid.org/0000-0003-2084-9717"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.R. Calderbank","raw_affiliation_strings":["Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084108666","display_name":"Robert E. Schapire","orcid":"https://orcid.org/0000-0001-8616-1611","observed_orcids":["https://orcid.org/0000-0001-8616-1611"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert E. Schapire","raw_affiliation_strings":["Princeton University#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-8616-1611","affiliations":[{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000885356","display_name":"Sina Jafarpour","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sina Jafarpour","raw_affiliation_strings":["Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":2.1982,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88354083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/expander-graphs","display_name":"expander graphs","score":0.949999988079071},{"id":"https://openalex.org/keywords/sparse-signal-recovery","display_name":"sparse signal recovery","score":0.7519999742507935},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"restricted isometry property","score":0.7839999794960022},{"id":"https://openalex.org/keywords/shot-noise","display_name":"shot noise","score":0.8379999995231628},{"id":"https://openalex.org/keywords/maximum-a-posteriori-estimation","display_name":"maximum a posteriori estimation","score":0.7329999804496765},{"id":"https://openalex.org/keywords/iterative-hard-thresholding","display_name":"iterative hard thresholding","score":0.8510000109672546},{"id":"https://openalex.org/keywords/zero-sum-games","display_name":"zero-sum games","score":0.5600000023841858},{"id":"https://openalex.org/keywords/network-traffic-monitoring","display_name":"network traffic monitoring","score":0.4950000047683716}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7771193981170654},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.756644606590271},{"id":"https://openalex.org/C154547637","wikidata":"https://www.wikidata.org/wiki/Q776602","display_name":"Expander graph","level":3,"score":0.6552099585533142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6313921213150024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5338343977928162},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5154755711555481},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5034477114677429},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3794466555118561},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32589462399482727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2717989683151245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17777612805366516},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12606137990951538},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:44239683","doi":null,"is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA571272","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":217,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W67772112","https://openalex.org/W93530381","https://openalex.org/W120817626","https://openalex.org/W154225146","https://openalex.org/W171292237","https://openalex.org/W391578156","https://openalex.org/W403935824","https://openalex.org/W1482610996","https://openalex.org/W1488456836","https://openalex.org/W1492288302","https://openalex.org/W1493892051","https://openalex.org/W1496357020","https://openalex.org/W1501109341","https://openalex.org/W1505749875","https://openalex.org/W1506069954","https://openalex.org/W1527917680","https://openalex.org/W1528905581","https://openalex.org/W1540198634","https://openalex.org/W1544735579","https://openalex.org/W1546961578","https://openalex.org/W1554944419","https://openalex.org/W1555342256","https://openalex.org/W1567512734","https://openalex.org/W1570963478","https://openalex.org/W1606480398","https://openalex.org/W1620362451","https://openalex.org/W1632601927","https://openalex.org/W1640276561","https://openalex.org/W1648445109","https://openalex.org/W1683886983","https://openalex.org/W1779006005","https://openalex.org/W1905655904","https://openalex.org/W1965392255","https://openalex.org/W1965972569","https://openalex.org/W1969423031","https://openalex.org/W1969668982","https://openalex.org/W1970115974","https://openalex.org/W1971402995","https://openalex.org/W1974466705","https://openalex.org/W1975680434","https://openalex.org/W1980454827","https://openalex.org/W1981453930","https://openalex.org/W1985324531","https://openalex.org/W1986808556","https://openalex.org/W1986931325","https://openalex.org/W1987389444","https://openalex.org/W1992405901","https://openalex.org/W1997889147","https://openalex.org/W1999678910","https://openalex.org/W2002645420","https://openalex.org/W2003868973","https://openalex.org/W2006334021","https://openalex.org/W2006506233","https://openalex.org/W2010824638","https://openalex.org/W2012365979","https://openalex.org/W2014902932","https://openalex.org/W2015049075","https://openalex.org/W2015418199","https://openalex.org/W2016384870","https://openalex.org/W2018047324","https://openalex.org/W2020301027","https://openalex.org/W2020390700","https://openalex.org/W2020775053","https://openalex.org/W2021496019","https://openalex.org/W2028781966","https://openalex.org/W2030449718","https://openalex.org/W2033375925","https://openalex.org/W2033468335","https://openalex.org/W2038517753","https://openalex.org/W2040006905","https://openalex.org/W2045748842","https://openalex.org/W2045797999","https://openalex.org/W2050834445","https://openalex.org/W2054324189","https://openalex.org/W2055064119","https://openalex.org/W2057347822","https://openalex.org/W2059739152","https://openalex.org/W2061375390","https://openalex.org/W2062024414","https://openalex.org/W2063978378","https://openalex.org/W2065919982","https://openalex.org/W2068871408","https://openalex.org/W2069959554","https://openalex.org/W2070815098","https://openalex.org/W2071284784","https://openalex.org/W2075567596","https://openalex.org/W2080234606","https://openalex.org/W2080745194","https://openalex.org/W2082029531","https://openalex.org/W2083042020","https://openalex.org/W2086869478","https://openalex.org/W2089272132","https://openalex.org/W2090418561","https://openalex.org/W2095210832","https://openalex.org/W2096586829","https://openalex.org/W2097323375","https://openalex.org/W2097477220","https://openalex.org/W2097714737","https://openalex.org/W2098012923","https://openalex.org/W2099100030","https://openalex.org/W2100037283","https://openalex.org/W2101675075","https://openalex.org/W2102800374","https://openalex.org/W2103300200","https://openalex.org/W2104993990","https://openalex.org/W2106053110","https://openalex.org/W2106887613","https://openalex.org/W2106993026","https://openalex.org/W2107086875","https://openalex.org/W2107861471","https://openalex.org/W2108982210","https://openalex.org/W2109449402","https://openalex.org/W2109814592","https://openalex.org/W2110140246","https://openalex.org/W2111146558","https://openalex.org/W2111201132","https://openalex.org/W2112118326","https://openalex.org/W2112405755","https://openalex.org/W2113642685","https://openalex.org/W2114122776","https://openalex.org/W2114228897","https://openalex.org/W2115119296","https://openalex.org/W2115447612","https://openalex.org/W2115706991","https://openalex.org/W2116148865","https://openalex.org/W2116437043","https://openalex.org/W2118297240","https://openalex.org/W2119667497","https://openalex.org/W2120340025","https://openalex.org/W2120383799","https://openalex.org/W2120991191","https://openalex.org/W2122548617","https://openalex.org/W2125319092","https://openalex.org/W2125680629","https://openalex.org/W2125889434","https://openalex.org/W2125935121","https://openalex.org/W2126607811","https://openalex.org/W2127271355","https://openalex.org/W2127300249","https://openalex.org/W2127357443","https://openalex.org/W2127528542","https://openalex.org/W2128208871","https://openalex.org/W2129131372","https://openalex.org/W2129160848","https://openalex.org/W2129569662","https://openalex.org/W2129638195","https://openalex.org/W2129812935","https://openalex.org/W2130416410","https://openalex.org/W2132249448","https://openalex.org/W2133589924","https://openalex.org/W2133866430","https://openalex.org/W2134929491","https://openalex.org/W2135046866","https://openalex.org/W2135845309","https://openalex.org/W2135859872","https://openalex.org/W2138424157","https://openalex.org/W2138777601","https://openalex.org/W2140122025","https://openalex.org/W2140466267","https://openalex.org/W2140817291","https://openalex.org/W2142280715","https://openalex.org/W2142374996","https://openalex.org/W2142472852","https://openalex.org/W2142635246","https://openalex.org/W2145087626","https://openalex.org/W2145096794","https://openalex.org/W2146855196","https://openalex.org/W2148159067","https://openalex.org/W2150249649","https://openalex.org/W2150482801","https://openalex.org/W2150940164","https://openalex.org/W2151693816","https://openalex.org/W2156043924","https://openalex.org/W2157969180","https://openalex.org/W2159691237","https://openalex.org/W2160396672","https://openalex.org/W2160824952","https://openalex.org/W2160955696","https://openalex.org/W2161310686","https://openalex.org/W2163107063","https://openalex.org/W2163137752","https://openalex.org/W2163352735","https://openalex.org/W2164452299","https://openalex.org/W2164595191","https://openalex.org/W2165363188","https://openalex.org/W2165437406","https://openalex.org/W2166207339","https://openalex.org/W2167730271","https://openalex.org/W2167732364","https://openalex.org/W2168730055","https://openalex.org/W2170507371","https://openalex.org/W2182243953","https://openalex.org/W2183758324","https://openalex.org/W2289917018","https://openalex.org/W2293231900","https://openalex.org/W2295428206","https://openalex.org/W2296616510","https://openalex.org/W2499720122","https://openalex.org/W2502142790","https://openalex.org/W2536599074","https://openalex.org/W2538726670","https://openalex.org/W2541922030","https://openalex.org/W2552015277","https://openalex.org/W2555882438","https://openalex.org/W2608574786","https://openalex.org/W2610971674","https://openalex.org/W2613173048","https://openalex.org/W2803670972","https://openalex.org/W2912369344","https://openalex.org/W2954811775","https://openalex.org/W2963206527","https://openalex.org/W2963322354","https://openalex.org/W2964082107","https://openalex.org/W3101167011","https://openalex.org/W3141595720","https://openalex.org/W4212863985"],"related_works":["https://openalex.org/W2168730055","https://openalex.org/W2112405755","https://openalex.org/W7095272400","https://openalex.org/W7096724671","https://openalex.org/W7100797424","https://openalex.org/W7099229569","https://openalex.org/W1805609236","https://openalex.org/W7097668803","https://openalex.org/W2140466267","https://openalex.org/W1835471601"],"abstract_inverted_index":{"The":[0,17,45,191],"central":[1],"goal":[2],"of":[3,10,55,94,132,157,200,256,276,338,388],"compressed":[4,90,218],"sensing":[5,51,91,99,219,229,298],"is":[6,76,195,288,362],"to":[7,32,173,188,382],"capture":[8],"attributes":[9],"a":[11,117,129,170,198,227,237,267,270,282,314],"signal":[12,38,114],"using":[13],"very":[14,315],"few":[15],"measurements.":[16],"initial":[18],"publications":[19],"by":[20,23,30,112],"Donoho":[21],"and":[22,25,42,63,97,105,138,205,235,262,327,401],"Candes":[24],"Tao":[26],"have":[27],"been":[28,48],"followed":[29],"applications":[31],"image":[33],"compression,":[34],"data":[35,379],"streaming,":[36,207],"medical":[37],"processing,":[39],"digital":[40,206],"communication":[41,271],"many":[43],"others.":[44],"emphasis":[46],"has":[47],"on":[49,78,232,290,301],"random":[50,339],"but":[52],"the":[53,133,147,153,161,165,174,209,217,274,336,359,373,377,385],"limitations":[54],"this":[56],"framework":[57,348],"include":[58],"performance":[59],"guarantees,":[60],"storage":[61],"requirements,":[62],"computational":[64],"cost.":[65],"This":[66],"thesis":[67],"will":[68],"describe":[69,313],"two":[70],"deterministic":[71,297],"alternatives.":[72],"\r\nThe":[73,285],"first":[74,82],"alternative":[75,287],"based":[77,231,289,300],"expander":[79,85,158,233],"graphs.":[80],"We":[81,109,127,150,225,249,294,311],"show":[83,110,151,295,393],"how":[84],"graphs":[86,234],"are":[87,221],"appropriate":[88,196],"for":[89,197,240,349],"in":[92,160,216,269,278,322,335,376,407],"terms":[93],"providing":[95],"explicit":[96],"efficient":[98,106,141],"matrices":[100,159,299],"as":[101,103,116],"well":[102],"simple":[104,316],"recovery":[107],"algorithms.":[108],"that":[111,152,164,296,320,395],"reformulating":[113],"reconstruction":[115],"zero-sum":[118],"game":[119],"we":[120,344],"can":[121,397],"efficiently":[122],"recover":[123],"any":[124],"sparse":[125,135,143,171,242,328,351,360,390,408],"vector.":[126],"provide":[128,345],"saddle-point":[130],"reformulation":[131],"expander-based":[134,142],"approximation":[136,144,172,182],"problem,":[137],"propose":[139,236],"an":[140,178,346],"algorithm,":[145,317,366],"called":[146,367],"GAME":[148,166],"algorithm.":[149],"restricted":[154],"isometry":[155],"property":[156],"e1-norm":[162],"ensures":[163],"algorithm":[167,239],"always":[168],"recovers":[169],"optimal":[175],"solution":[176],"with":[177,253],"e1/e":[179],"1":[180],"data-domain":[181],"guarantee.":[183],"\r\nWe":[184],"also":[185,312,363],"demonstrate":[186],"resilience":[187],"Poisson":[189,192,247,283],"noise.":[190],"noise":[193,213],"model":[194,325],"variety":[199],"applications,":[201],"including":[202],"low-light":[203],"imaging":[204],"where":[208,273,330,353],"signal-independent":[210],"and/or":[211],"bounded":[212],"models":[214],"used":[215],"literature":[220],"no":[222],"longer":[223],"applicable.":[224],"develop":[226],"novel":[228],"paradigm":[230],"MAP":[238],"recovering":[241],"or":[243],"compressible":[244],"signals":[245],"from":[246],"observations.":[248],"support":[250],"our":[251],"results":[252],"experimental":[254],"demonstrations":[255],"reconstructing":[257],"average":[258,308,323],"packet":[259,264],"arrival":[260],"rates":[261],"instantaneous":[263],"counts":[265],"at":[266],"router":[268],"network,":[272],"arrivals":[275],"packets":[277],"each":[279],"flow":[280],"follow":[281],"process.":[284],"second":[286,302],"error":[291,380],"correcting":[292],"codes.":[293],"order":[303],"Reed":[304],"Muller":[305],"codes":[306],"optimize":[307],"case":[309,324],"performance.":[310],"one-step":[318],"thresholding,":[319],"succeeds":[321],"selection":[326],"approximation,":[329],"more":[331],"sophisticated":[332],"algorithms,":[333],"developed":[334],"context":[337],"sensing,":[340],"fail":[341],"completely.":[342],"Finally,":[343],"algorithmic":[347],"structured":[350,389],"recovery,":[352],"some":[354],"extra":[355],"prior":[356],"knowledge":[357],"about":[358],"vector":[361],"available.":[364],"Our":[365],"Nesterov":[368],"Iterative":[369],"Hard-Thresholding":[370],"(NIHT)":[371],"uses":[372],"gradient":[374],"information":[375],"convex":[378,404],"objective":[381],"navigate":[383],"over":[384],"non-convex":[386],"set":[387],"signals.":[391],"Experiments":[392],"however":[394],"NIHT":[396],"empirically":[398],"outperform":[399],"e1-minimization":[400],"other":[402],"state-of-the-art":[403],"optimization-based":[405],"algorithms":[406],"recovery.":[409]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
