{"id":"https://openalex.org/W1505909737","doi":"https://doi.org/10.1109/tit.2017.2717586","title":"Identifiability for Blind Source Separation of Multiple Finite Alphabet Linear Mixtures","display_name":"Identifiability for Blind Source Separation of Multiple Finite Alphabet Linear Mixtures","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W1505909737","doi":"https://doi.org/10.1109/tit.2017.2717586","mag":"1505909737"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2717586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2717586","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.05272","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018054885","display_name":"Merle Behr","orcid":"https://orcid.org/0000-0002-4255-5237"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Merle Behr","raw_affiliation_strings":["Institute for Mathematical Stochastics and the Felix Bernstein Institute for Mathematical Statistics in the Bioscience, University of G\u00f6ttingen, G\u00f6ttingen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Stochastics and the Felix Bernstein Institute for Mathematical Statistics in the Bioscience, University of G\u00f6ttingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087767807","display_name":"Axel Munk","orcid":"https://orcid.org/0000-0002-9181-9331"},"institutions":[{"id":"https://openalex.org/I4210131661","display_name":"Max Planck Institute for Biophysical Chemistry","ror":"https://ror.org/03e76ya46","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210131661"]},{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Axel Munk","raw_affiliation_strings":["Institute for Mathematical Stochastics and the Felix Bernstein Institute for Mathematical Statistics in the Bioscience, University of G\u00f6ttingen, G\u00f6ttingen, Germany","Max Planck Institute for Biophysical Chemistry, G\u00f6ttingen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Stochastics and the Felix Bernstein Institute for Mathematical Statistics in the Bioscience, University of G\u00f6ttingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]},{"raw_affiliation_string":"Max Planck Institute for Biophysical Chemistry, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I4210131661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018054885"],"corresponding_institution_ids":["https://openalex.org/I74656192"],"apc_list":null,"apc_paid":null,"fwci":1.6789,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84689777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation 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/T11447","display_name":"Blind Source Separation 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/T10860","display_name":"Speech and Audio Processing","score":0.9911999702453613,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.8583694100379944},{"id":"https://openalex.org/keywords/blind-signal-separation","display_name":"Blind signal separation","score":0.685016393661499},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6494140625},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.5556723475456238},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4671304523944855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38155460357666016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3363381028175354},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24225500226020813},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09965008497238159}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8583694100379944},{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.685016393661499},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6494140625},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.5556723475456238},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4671304523944855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38155460357666016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3363381028175354},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24225500226020813},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09965008497238159},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2017.2717586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2717586","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1505.05272","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.05272","pdf_url":"https://arxiv.org/pdf/1505.05272","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"},{"id":"pmh:oai:pure.mpg.de:item_2486484","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-002D-FF59-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.05272","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.05272","pdf_url":"https://arxiv.org/pdf/1505.05272","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":[{"id":"https://metadata.un.org/sdg/4","score":0.6600000262260437,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W621213496","https://openalex.org/W1579730317","https://openalex.org/W1902027874","https://openalex.org/W1995806385","https://openalex.org/W1998850795","https://openalex.org/W2015558101","https://openalex.org/W2027335658","https://openalex.org/W2038237443","https://openalex.org/W2063947013","https://openalex.org/W2064209101","https://openalex.org/W2096577849","https://openalex.org/W2096746187","https://openalex.org/W2099741732","https://openalex.org/W2102329202","https://openalex.org/W2111583736","https://openalex.org/W2111604514","https://openalex.org/W2113186970","https://openalex.org/W2118581143","https://openalex.org/W2124355451","https://openalex.org/W2125928721","https://openalex.org/W2128768657","https://openalex.org/W2139850196","https://openalex.org/W2140318696","https://openalex.org/W2140530080","https://openalex.org/W2152983810","https://openalex.org/W2153909896","https://openalex.org/W2154602821","https://openalex.org/W2163592493","https://openalex.org/W2166159048","https://openalex.org/W2170490448","https://openalex.org/W2496270209","https://openalex.org/W2798333393","https://openalex.org/W2912369344","https://openalex.org/W6680770193"],"related_works":["https://openalex.org/W2724847603","https://openalex.org/W2034041141","https://openalex.org/W2184661725","https://openalex.org/W2900187352","https://openalex.org/W112856298","https://openalex.org/W2573470972","https://openalex.org/W2105626102","https://openalex.org/W2131038454","https://openalex.org/W4240568257","https://openalex.org/W1996342314"],"abstract_inverted_index":{"We":[0,58,100],"give":[1,67],"under":[2],"weak":[3],"assumptions":[4],"a":[5,33,40,68,113,128,139],"complete":[6],"combinatorial":[7],"characterization":[8],"of":[9,14,36,39,53,56,91,105,112,149],"identifiability":[10,46,65,106],"for":[11,64,85,151],"linear":[12,42],"mixtures":[13],"finite":[15],"alphabet":[16],"sources,":[17],"with":[18,73],"unknown":[19,23,54],"mixing":[20],"weights":[21,80],"and":[22,61,66,81,116,145],"source":[24,83,154],"signals,":[25],"but":[26],"known":[27],"alphabet.":[28],"This":[29,142],"is":[30,107],"based":[31],"on":[32],"detailed":[34],"treatment":[35],"the":[37,51,79,82,92,96,103,110,123,147],"case":[38,52],"single":[41],"mixture.":[43],"Notably,":[44],"our":[45,135],"analysis":[47],"applies":[48],"also":[49],"to":[50,77,109,120],"number":[55],"sources.":[57],"provide":[59],"sufficient":[60,70],"necessary":[62],"conditions":[63],"simple":[69],"criterion":[71],"together":[72],"an":[74],"explicit":[75],"construction":[76],"determine":[78],"signals":[84],"deterministic":[86],"data":[87],"by":[88],"taking":[89],"advantage":[90],"hierarchical":[93],"structure":[94],"within":[95],"possible":[97],"mixture":[98],"values.":[99],"show":[101],"that":[102],"probability":[104],"related":[108],"distribution":[111],"hitting":[114],"time":[115],"converges":[117],"exponentially":[118],"fast":[119],"one":[121],"when":[122],"underlying":[124],"sources":[125],"come":[126],"from":[127],"discrete":[129],"Markov":[130],"process.":[131],"Finally,":[132],"we":[133],"explore":[134],"theoretical":[136],"results":[137],"in":[138],"simulation":[140],"study.":[141],"paper":[143],"extends":[144],"clarifies":[146],"scope":[148],"scenarios":[150],"which":[152],"blind":[153],"separation":[155],"becomes":[156],"meaningful.":[157]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
