{"id":"https://openalex.org/W2123032102","doi":"https://doi.org/10.1109/isit.2013.6620348","title":"Relation between exact and robust recovery for F-minimization: A topological viewpoint","display_name":"Relation between exact and robust recovery for F-minimization: A topological viewpoint","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2123032102","doi":"https://doi.org/10.1109/isit.2013.6620348","mag":"2123032102"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620348","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620348","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","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/A5100383868","display_name":"Jingbo Liu","orcid":"https://orcid.org/0000-0001-5637-5264"},"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":"Jingbo Liu","raw_affiliation_strings":["Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101678706","display_name":"Jian Jin","orcid":"https://orcid.org/0000-0003-4250-1519"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Jin","raw_affiliation_strings":["Dept. of Electron. Eng., TsingHua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electron. Eng., TsingHua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100621681","display_name":"Yuantao Gu","orcid":"https://orcid.org/0000-0002-8427-1021"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuantao Gu","raw_affiliation_strings":["Dept. of Electron. Eng., TsingHua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electron. Eng., TsingHua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4109,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81986177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"63","issue":null,"first_page":"859","last_page":"863"},"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9980999827384949,"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/minification","display_name":"Minification","score":0.7549523711204529},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.7108159065246582},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6173319220542908},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.518805205821991},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5183190107345581},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5162824988365173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4978964328765869},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4550905227661133},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4521874487400055},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42550963163375854},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4243318438529968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42111003398895264},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3782576620578766},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33827564120292664},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3073529601097107},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07562950253486633}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.7549523711204529},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.7108159065246582},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6173319220542908},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.518805205821991},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5183190107345581},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5162824988365173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4978964328765869},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4550905227661133},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4521874487400055},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42550963163375854},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4243318438529968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42111003398895264},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3782576620578766},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33827564120292664},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3073529601097107},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07562950253486633},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620348","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620348","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1885275569","https://openalex.org/W2019741018","https://openalex.org/W2119883478","https://openalex.org/W2129131372","https://openalex.org/W2130514271","https://openalex.org/W2136235822","https://openalex.org/W2145096794","https://openalex.org/W2160536217","https://openalex.org/W2296616510","https://openalex.org/W2921243010","https://openalex.org/W2953381901","https://openalex.org/W3098523349","https://openalex.org/W4250955649","https://openalex.org/W4297898862","https://openalex.org/W6677721757","https://openalex.org/W6759794147","https://openalex.org/W6843733426"],"related_works":["https://openalex.org/W2949222060","https://openalex.org/W2899451587","https://openalex.org/W2067929456","https://openalex.org/W2345391861","https://openalex.org/W4298056360","https://openalex.org/W1494127436","https://openalex.org/W2807858721","https://openalex.org/W2499765358","https://openalex.org/W2349728712","https://openalex.org/W2994711175"],"abstract_inverted_index":{"Recent":[0],"work":[1],"in":[2,25],"compressed":[3],"sensing":[4],"has":[5],"shown":[6],"the":[7,10,26,33,36,63,77,82,85,93,118],"possibility":[8],"reducing":[9],"number":[11],"of":[12,19,59,62,71,84,92,95,127],"measurements":[13],"via":[14],"non-convex":[15],"optimization":[16],"methods.":[17],"Most":[18],"these":[20],"methods":[21],"can":[22],"be":[23],"studied":[24],"general":[27],"framework":[28],"called":[29],"\u201cF-minimization\u201d,":[30],"for":[31,99],"which":[32],"relation":[34],"between":[35],"noiseless":[37],"exact":[38],"recovery":[39,45],"condition":[40,46],"(ERC)":[41],"and":[42,74,97,120],"noisy":[43],"robust":[44],"(RRC)":[47],"was":[48],"not":[49],"fully":[50],"understood.":[51],"In":[52],"this":[53],"paper,":[54],"we":[55],"associate":[56],"each":[57],"set":[58,79,126],"nulls":[60],"spaces":[61],"measurement":[64],"matrices":[65],"satisfying":[66],"ERC/RRC":[67],"as":[68,103],"a":[69,72,89,104,125],"subset":[70],"Grassmannian,":[73],"show":[75,109],"that":[76,117],"RRC":[78,98,121],"is":[80],"exactly":[81],"interior":[83],"ERC":[86,96,119],"set.":[87],"Then,":[88],"previous":[90],"result":[91],"equivalence":[94],"lp-minimization":[100],"follows":[101],"easily":[102],"special":[105],"case.":[106],"We":[107],"also":[108],"under":[110],"some":[111],"mild":[112],"but":[113],"necessary":[114],"additional":[115],"assumption":[116],"sets":[122],"differ":[123],"by":[124],"measure":[128],"zero.":[129]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}