{"id":"https://openalex.org/W1982041653","doi":"https://doi.org/10.1109/isit.2010.5513360","title":"Worst configurations (instantons) for Compressed Sensing over reals: A channel coding approach","display_name":"Worst configurations (instantons) for Compressed Sensing over reals: A channel coding approach","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1982041653","doi":"https://doi.org/10.1109/isit.2010.5513360","mag":"1982041653"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513360","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513360","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1001.5113","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043061449","display_name":"Shashi Kiran Chilappagari","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154351","display_name":"Marvell (United States)","ror":"https://ror.org/04wmff902","country_code":"US","type":"company","lineage":["https://openalex.org/I4210092679","https://openalex.org/I4210154351"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shashi Kiran Chilappagari","raw_affiliation_strings":["Marvell Semiconductor, Inc., Santa Clara, CA, USA","Marvell Semiconductor Inc., Santa Clara, CA 95054, USA"],"affiliations":[{"raw_affiliation_string":"Marvell Semiconductor, Inc., Santa Clara, CA, USA","institution_ids":["https://openalex.org/I4210154351"]},{"raw_affiliation_string":"Marvell Semiconductor Inc., Santa Clara, CA 95054, USA","institution_ids":["https://openalex.org/I4210154351"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068974029","display_name":"Michael Chertkov","orcid":"https://orcid.org/0000-0002-6758-515X"},"institutions":[{"id":"https://openalex.org/I4210110743","display_name":"New Mexico Consortium","ror":"https://ror.org/01qnpp968","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210110743"]},{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Chertkov","raw_affiliation_strings":["Theoretical Division & CNLS, LANL and New Mexico Consortium, Los Alamos, NM, USA","Theoretical Divison & CNLS, LANL & New Mexico Consortium, Los Alamos, 87545(4), USA"],"affiliations":[{"raw_affiliation_string":"Theoretical Division & CNLS, LANL and New Mexico Consortium, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I4210110743"]},{"raw_affiliation_string":"Theoretical Divison & CNLS, LANL & New Mexico Consortium, Los Alamos, 87545(4), USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040676835","display_name":"Bane Vasi\u0107","orcid":"https://orcid.org/0000-0003-2365-4106"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bane Vasic","raw_affiliation_strings":["Department of ECE, University of Arizona Tucson, Tucson, AZ, USA","Dept. of ECE, University of Arizona, Tucson, 85721, USA"],"affiliations":[{"raw_affiliation_string":"Department of ECE, University of Arizona Tucson, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Dept. of ECE, University of Arizona, Tucson, 85721, USA","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043061449"],"corresponding_institution_ids":["https://openalex.org/I4210154351"],"apc_list":null,"apc_paid":null,"fwci":0.6917,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70896978,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1978","last_page":"1982"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9991999864578247,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/instanton","display_name":"Instanton","score":0.827930748462677},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6858193874359131},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6245755553245544},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5995920300483704},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5355337262153625},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.5075949430465698},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4815128743648529},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.43292665481567383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4322885274887085},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4238625168800354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40994471311569214},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3238874077796936},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08195760846138}],"concepts":[{"id":"https://openalex.org/C125198404","wikidata":"https://www.wikidata.org/wiki/Q1192916","display_name":"Instanton","level":2,"score":0.827930748462677},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6858193874359131},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6245755553245544},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5995920300483704},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5355337262153625},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.5075949430465698},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4815128743648529},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.43292665481567383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4322885274887085},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4238625168800354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40994471311569214},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3238874077796936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08195760846138},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2010.5513360","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513360","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1001.5113","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1001.5113","pdf_url":"https://arxiv.org/pdf/1001.5113","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1001.5113","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1001.5113","pdf_url":"https://arxiv.org/pdf/1001.5113","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1484692004","https://openalex.org/W1560405047","https://openalex.org/W1971082326","https://openalex.org/W1986931325","https://openalex.org/W2028781966","https://openalex.org/W2040845212","https://openalex.org/W2050834445","https://openalex.org/W2078204800","https://openalex.org/W2094503020","https://openalex.org/W2104689908","https://openalex.org/W2121789497","https://openalex.org/W2124608575","https://openalex.org/W2128765501","https://openalex.org/W2129131372","https://openalex.org/W2134332047","https://openalex.org/W2135046866","https://openalex.org/W2140466267","https://openalex.org/W2145403642","https://openalex.org/W2147760514","https://openalex.org/W2150249649","https://openalex.org/W2151131483","https://openalex.org/W2160979406","https://openalex.org/W2169134868","https://openalex.org/W2293231900","https://openalex.org/W2296616510","https://openalex.org/W2611328865","https://openalex.org/W2951102365","https://openalex.org/W2953289581","https://openalex.org/W3143793205","https://openalex.org/W4250955649","https://openalex.org/W4285719527","https://openalex.org/W4300188436","https://openalex.org/W4391463496","https://openalex.org/W6628810906","https://openalex.org/W6679944305","https://openalex.org/W6681918002","https://openalex.org/W6763855520"],"related_works":["https://openalex.org/W2537963609","https://openalex.org/W2092857423","https://openalex.org/W2361792238","https://openalex.org/W4225319325","https://openalex.org/W2182725540","https://openalex.org/W3126598192","https://openalex.org/W2066141615","https://openalex.org/W2090897912","https://openalex.org/W2122913048","https://openalex.org/W2796395817"],"abstract_inverted_index":{"We":[0,117,157],"consider":[1],"the":[2,8,18,53,67,72,87,102,114,133,137,140,149,168,170,186,201,204],"Linear":[3],"Programming":[4],"(LP)":[5],"solution":[6],"of":[7,81,93,148,181,185,210],"Compressed":[9],"Sensing":[10],"(CS)":[11],"problem":[12],"over":[13],"reals,":[14],"also":[15,158],"known":[16],"as":[17,27],"Basis":[19],"Pursuit":[20],"(BasP)":[21],"algorithm.":[22],"The":[23,75,105,183],"BasP":[24,54,73,106,134,141],"allows":[25],"interpretation":[26],"a":[28,37,57,79,94,119,125,129,152,162,177,191],"channel-coding":[29],"problem,":[30],"and":[31,42,61],"it":[32],"guarantees":[33],"error-free":[34],"reconstruction":[35],"with":[36],"properly":[38],"chosen":[39],"measurement":[40,59],"matrix":[41,60],"sufficiently":[43,163],"sparse":[44,126],"error":[45],"vectors.":[46],"In":[47],"this":[48,199],"manuscript,":[49],"we":[50],"examine":[51],"how":[52],"performs":[55],"on":[56,85,136,190],"given":[58,161],"develop":[62],"an":[63,174],"algorithm":[64,77],"to":[65,173],"discover":[66],"sparsest":[68],"vectors":[69],"for":[70,145,167],"which":[71],"fails.":[74],"resulting":[76],"is":[78,111,143,188],"generalization":[80],"our":[82],"previous":[83],"results":[84],"finding":[86],"most":[88],"probable":[89],"error-patterns":[90],"degrading":[91],"performance":[92,184],"finite":[95,179],"size":[96],"Low-Density":[97],"Parity-Check":[98],"(LDPC)":[99],"code":[100],"in":[101,176],"error-floor":[103],"regime.":[104],"fails":[107,135],"when":[108],"its":[109],"output":[110],"different":[112],"from":[113],"actual":[115],"error-pattern.":[116],"design":[118],"CS-Instanton":[120],"Search":[121],"Algorithm":[122],"(ISA)":[123],"generating":[124],"vector,":[127],"called":[128],"CS-instanton,":[130,138],"such":[131],"that":[132],"while":[139],"recovery":[142],"successful":[144],"any":[146],"modification":[147],"CS-instanton":[150],"replacing":[151],"nonzero":[153],"element":[154],"by":[155],"zero.":[156],"prove":[159],"that,":[160],"dense":[164],"random":[165],"input":[166],"error-vector,":[169],"CS-ISA":[171,187,202],"converges":[172],"instanton":[175,206],"small":[178],"number":[180],"steps.":[182],"illustrated":[189],"randomly":[192],"generated":[193],"120":[194],"\u00d7":[195],"512":[196],"matrix.":[197],"For":[198],"example,":[200],"outputs":[203],"shortest":[205],"(error":[207],"vector)":[208],"pattern":[209],"length":[211],"11.":[212]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}