{"id":"https://openalex.org/W2109868080","doi":"https://doi.org/10.1109/cdc.2010.5718068","title":"On the observability of linear systems from random, compressive measurements","display_name":"On the observability of linear systems from random, compressive measurements","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2109868080","doi":"https://doi.org/10.1109/cdc.2010.5718068","mag":"2109868080"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5718068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718068","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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/A5065207980","display_name":"Michael B. Wakin","orcid":"https://orcid.org/0000-0002-2165-4586"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael B. Wakin","raw_affiliation_strings":["Division of Engineering, Colorado Schml of Mines, Golden, CO, USA","Division of Engineering, Colorado School of Mines Golden, 80401, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Engineering, Colorado Schml of Mines, Golden, CO, USA","institution_ids":["https://openalex.org/I167576493"]},{"raw_affiliation_string":"Division of Engineering, Colorado School of Mines Golden, 80401, USA","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048781424","display_name":"Borhan M. Sanandaji","orcid":null},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Borhan M. Sanandaji","raw_affiliation_strings":["Division of Engineering, Colorado Schml of Mines, Golden, CO, USA","Division of Engineering, Colorado School of Mines Golden, 80401, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Engineering, Colorado Schml of Mines, Golden, CO, USA","institution_ids":["https://openalex.org/I167576493"]},{"raw_affiliation_string":"Division of Engineering, Colorado School of Mines Golden, 80401, USA","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060455698","display_name":"Tyrone L. Vincent","orcid":"https://orcid.org/0000-0002-6921-8521"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tyrone L. Vincent","raw_affiliation_strings":["Division of Engineering, Colorado Schml of Mines, Golden, CO, USA","Division of Engineering, Colorado School of Mines Golden, 80401, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Engineering, Colorado Schml of Mines, Golden, CO, USA","institution_ids":["https://openalex.org/I167576493"]},{"raw_affiliation_string":"Division of Engineering, Colorado School of Mines Golden, 80401, USA","institution_ids":["https://openalex.org/I167576493"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I167576493"],"apc_list":null,"apc_paid":null,"fwci":6.1986,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.96873619,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"4447","last_page":"4454"},"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/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":1.0,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9378329515457153},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.8608201742172241},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.8116253018379211},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5514616966247559},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5132186412811279},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5091525912284851},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5012569427490234},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46281731128692627},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4370187819004059},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.43700891733169556},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4367726445198059},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4215267300605774},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39835411310195923},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36989882588386536},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17255070805549622},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.15123224258422852},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.150654137134552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09467008709907532}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9378329515457153},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.8608201742172241},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.8116253018379211},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5514616966247559},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5132186412811279},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5091525912284851},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5012569427490234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46281731128692627},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4370187819004059},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.43700891733169556},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4367726445198059},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4215267300605774},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39835411310195923},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36989882588386536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17255070805549622},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.15123224258422852},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.150654137134552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09467008709907532},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2010.5718068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718068","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.174.5452","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.174.5452","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://inside.mines.edu/%7Emwakin/papers/cdc-observability-v09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W1534096605","https://openalex.org/W1986736933","https://openalex.org/W2015418199","https://openalex.org/W2030449718","https://openalex.org/W2073249669","https://openalex.org/W2098322313","https://openalex.org/W2106902327","https://openalex.org/W2120961178","https://openalex.org/W2122548617","https://openalex.org/W2124809372","https://openalex.org/W2129131372","https://openalex.org/W2147717514","https://openalex.org/W2296616510","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W1595179898","https://openalex.org/W2949399405","https://openalex.org/W4301619540","https://openalex.org/W4297570801","https://openalex.org/W2952050240","https://openalex.org/W2568623927","https://openalex.org/W2085436476","https://openalex.org/W2025666718","https://openalex.org/W1523595302","https://openalex.org/W1959156040"],"abstract_inverted_index":{"Recovering":[0],"or":[1],"estimating":[2],"the":[3,47,82,94],"initial":[4,127,146],"state":[5],"of":[6,16,49,70,78,117,125,143],"a":[7,12,55,67,113,118],"high-dimensional":[8,56],"system":[9],"can":[10,26,62,92],"require":[11],"potentially":[13],"large":[14],"number":[15,69],"measurements.":[17,72],"In":[18,73],"this":[19,24,90],"paper,":[20],"we":[21,75],"explain":[22,86],"how":[23],"burden":[25],"be":[27,63],"significantly":[28],"reduced":[29],"for":[30,81],"certain":[31],"linear":[32],"systems":[33],"when":[34],"randomized":[35],"measurement":[36],"operators":[37],"are":[38],"employed.":[39],"Our":[40],"work":[41],"builds":[42],"upon":[43],"recent":[44],"results":[45,111],"from":[46,66,122],"field":[48],"Compressive":[50],"Sensing":[51],"(CS),":[52],"in":[53,105,134],"which":[54,89,99],"signal":[57],"containing":[58],"few":[59],"nonzero":[60],"entries":[61],"efficiently":[64],"recovered":[65],"small":[68],"random":[71],"particular,":[74],"develop":[76],"concentration":[77],"measure":[79],"bounds":[80],"observability":[83],"matrix":[84,91],"and":[85,141],"circumstances":[87],"under":[88],"satisfy":[93],"Restricted":[95],"Isometry":[96],"Property":[97],"(RIP),":[98],"is":[100],"central":[101],"to":[102],"much":[103],"analysis":[104,130],"CS.":[106],"We":[107],"also":[108],"illustrate":[109],"our":[110,129],"with":[112],"simple":[114],"case":[115],"study":[116],"diffusion":[119],"system.":[120],"Aside":[121],"permitting":[123],"recovery":[124],"sparse":[126],"states,":[128],"has":[131],"potential":[132],"applications":[133],"solving":[135],"inference":[136],"problems":[137],"such":[138],"as":[139],"detection":[140],"classification":[142],"more":[144],"general":[145],"states.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
