{"id":"https://openalex.org/W1986532826","doi":"https://doi.org/10.1109/ciss.2012.6310755","title":"A study of the universal threshold in the \u21131 recovery by statistical mechanics","display_name":"A study of the universal threshold in the \u21131 recovery by statistical mechanics","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W1986532826","doi":"https://doi.org/10.1109/ciss.2012.6310755","mag":"1986532826"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2012.6310755","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2012.6310755","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 46th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1203.6246","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Koujin Takeda","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koujin Takeda","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yoshiyuki Kabashima","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshiyuki Kabashima","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08881702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T11996","display_name":"Random lasers and scattering media","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.7724999785423279},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.7577999830245972},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.7005000114440918},{"id":"https://openalex.org/keywords/replica","display_name":"Replica","score":0.4945000112056732},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4609000086784363},{"id":"https://openalex.org/keywords/random-field","display_name":"Random field","score":0.38519999384880066},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.3643999993801117},{"id":"https://openalex.org/keywords/circular-ensemble","display_name":"Circular ensemble","score":0.361299991607666}],"concepts":[{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.7724999785423279},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.7577999830245972},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.7005000114440918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5857999920845032},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5295000076293945},{"id":"https://openalex.org/C2775937380","wikidata":"https://www.wikidata.org/wiki/Q1232589","display_name":"Replica","level":2,"score":0.4945000112056732},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4609000086784363},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.38519999384880066},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.3643999993801117},{"id":"https://openalex.org/C11902944","wikidata":"https://www.wikidata.org/wiki/Q5121662","display_name":"Circular ensemble","level":4,"score":0.361299991607666},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C2986587452","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical analysis","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.26420000195503235},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.25429999828338623}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ciss.2012.6310755","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2012.6310755","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 46th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1203.6246","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.6246","pdf_url":"https://arxiv.org/pdf/1203.6246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:1203.6246","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.6246","pdf_url":"https://arxiv.org/pdf/1203.6246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"id":"https://openalex.org/G5452374251","display_name":"Statistical Mechanical Approach for the Theory of Compressed Sensing","funder_award_id":"24700007","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1969143959","https://openalex.org/W1977031875","https://openalex.org/W2010669260","https://openalex.org/W2023322777","https://openalex.org/W2030449718","https://openalex.org/W2054184486","https://openalex.org/W2055984460","https://openalex.org/W2060581589","https://openalex.org/W2081785908","https://openalex.org/W2113642685","https://openalex.org/W2115275122","https://openalex.org/W2119667497","https://openalex.org/W2129638195","https://openalex.org/W2139053635","https://openalex.org/W2144006746","https://openalex.org/W2145096794","https://openalex.org/W2170929819","https://openalex.org/W2320171901","https://openalex.org/W4229746864","https://openalex.org/W4250955649"],"related_works":[],"abstract_inverted_index":{"We":[0],"discuss":[1],"the":[2,5,14,41,52,69,79,91,106,128,132,135,138,144,147],"universality":[3,136],"of":[4,16,43,81,96,137,146],"\u21131recovery":[6,26,44,82],"threshold":[7,42,80,139],"in":[8,13,102,121],"compressed":[9],"sensing.":[10],"Previous":[11],"studies":[12],"fields":[15],"statistical":[17,122],"mechanics":[18,123],"and":[19,75,124],"random":[20,29,48,63,70,148],"matrix":[21,30,49,64,86],"integration":[22],"have":[23],"shown":[24],"that":[25,40,78,134],"under":[27,45],"a":[28,35,46,61,85],"with":[31,90,105],"orthogonal":[32,66],"symmetry":[33,145],"has":[34],"universal":[36,53,92],"threshold.":[37],"This":[38],"indicates":[39],"non-orthogonal":[47],"differs":[50],"from":[51],"one.":[54,93],"Taking":[55],"this":[56],"into":[57],"account,":[58],"we":[59],"use":[60],"simple":[62],"without":[65],"symmetry,":[67],"where":[68],"entries":[71],"are":[72,101],"not":[73,88,126],"independent,":[74],"show":[76],"analytically":[77],"for":[83],"such":[84],"does":[87],"coincide":[89],"The":[94],"results":[95],"an":[97],"extensive":[98],"numerical":[99],"experiment":[100],"good":[103],"agreement":[104],"analytical":[107],"results,":[108],"which":[109],"validates":[110],"our":[111,114],"methodology.":[112],"Though":[113],"analysis":[115],"is":[116,125,140],"based":[117],"on":[118],"replica":[119],"heuristics":[120],"rigorous,":[127],"findings":[129],"nevertheless":[130],"support":[131],"fact":[133],"strongly":[141],"related":[142],"to":[143],"matrix.":[149]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2016-06-24T00:00:00"}