{"id":"https://openalex.org/W1954723095","doi":"https://doi.org/10.1109/tit.2015.2510657","title":"Generalized Independent Component Analysis Over Finite Alphabets","display_name":"Generalized Independent Component Analysis Over Finite Alphabets","publication_year":2015,"publication_date":"2015-12-22","ids":{"openalex":"https://openalex.org/W1954723095","doi":"https://doi.org/10.1109/tit.2015.2510657","mag":"1954723095"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2510657","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2510657","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1508.04934","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012874444","display_name":"Amichai Painsky","orcid":"https://orcid.org/0000-0002-5899-5608"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Amichai Painsky","raw_affiliation_strings":["Statistics Department, Tel Aviv University, Tel Aviv, Israel","Statistics Department, Tel Aviv University, Tel Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Statistics Department, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Statistics Department, Tel Aviv University, Tel Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039021124","display_name":"Saharon Rosset","orcid":"https://orcid.org/0000-0002-4458-9545"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Saharon Rosset","raw_affiliation_strings":["Statistics Department, Tel Aviv University, Tel Aviv, Israel","Statistics Department, Tel Aviv University, Tel Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Statistics Department, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Statistics Department, Tel Aviv University, Tel Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066905280","display_name":"Meir Feder","orcid":"https://orcid.org/0000-0002-1290-0482"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Meir Feder","raw_affiliation_strings":["Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012874444"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.579,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66404501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"62","issue":"2","first_page":"1038","last_page":"1053"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/independent-component-analysis","display_name":"Independent component analysis","score":0.7215529680252075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4688960909843445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46329841017723083},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.44447576999664307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4341714680194855},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4272219240665436},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31675323843955994}],"concepts":[{"id":"https://openalex.org/C51432778","wikidata":"https://www.wikidata.org/wiki/Q1259145","display_name":"Independent component analysis","level":2,"score":0.7215529680252075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4688960909843445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46329841017723083},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.44447576999664307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4341714680194855},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4272219240665436},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31675323843955994},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2015.2510657","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2510657","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:1508.04934","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.04934","pdf_url":"https://arxiv.org/pdf/1508.04934","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":"","raw_type":"text"},{"id":"mag:1954723095","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1508.04934.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1508.04934","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1508.04934","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1508.04934","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.04934","pdf_url":"https://arxiv.org/pdf/1508.04934","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1241429680","display_name":null,"funder_award_id":"634/09","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G3085124316","display_name":null,"funder_award_id":"1487/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1954723095.pdf","grobid_xml":"https://content.openalex.org/works/W1954723095.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W13786090","https://openalex.org/W19621276","https://openalex.org/W1508456091","https://openalex.org/W1540628335","https://openalex.org/W1545527235","https://openalex.org/W1548802052","https://openalex.org/W1816225866","https://openalex.org/W1979191599","https://openalex.org/W1994618660","https://openalex.org/W1995882234","https://openalex.org/W2011569634","https://openalex.org/W2013458156","https://openalex.org/W2019835642","https://openalex.org/W2026235741","https://openalex.org/W2042524010","https://openalex.org/W2053818834","https://openalex.org/W2056415038","https://openalex.org/W2063050588","https://openalex.org/W2070463698","https://openalex.org/W2073316337","https://openalex.org/W2076063813","https://openalex.org/W2082357899","https://openalex.org/W2095439994","https://openalex.org/W2099213070","https://openalex.org/W2109678938","https://openalex.org/W2112129677","https://openalex.org/W2131024393","https://openalex.org/W2136810006","https://openalex.org/W2145861727","https://openalex.org/W2146474141","https://openalex.org/W2150442700","https://openalex.org/W2151351982","https://openalex.org/W2152117998","https://openalex.org/W2171869556","https://openalex.org/W6600542076","https://openalex.org/W6600828528","https://openalex.org/W6638444801","https://openalex.org/W7038517902"],"related_works":["https://openalex.org/W2551037183","https://openalex.org/W1998792525","https://openalex.org/W3004417073","https://openalex.org/W3006497498","https://openalex.org/W2849120009","https://openalex.org/W2273369328","https://openalex.org/W2951934896","https://openalex.org/W2007091214","https://openalex.org/W2530114498","https://openalex.org/W2950306688","https://openalex.org/W608201774","https://openalex.org/W2948062364","https://openalex.org/W3038047473","https://openalex.org/W2950536256","https://openalex.org/W3087642357","https://openalex.org/W2124293299","https://openalex.org/W2917395481","https://openalex.org/W2952212725","https://openalex.org/W2989653627","https://openalex.org/W3021971540"],"abstract_inverted_index":{"Independent":[0],"component":[1],"analysis":[2],"(ICA)":[3],"is":[4,53,88,110,120,193],"a":[5,32,43,54,70,78,140,151],"statistical":[6],"method":[7],"for":[8],"transforming":[9],"an":[10,85,122],"observable":[11],"multi-dimensional":[12],"random":[13],"vector":[14,87],"into":[15],"components":[16,67,93],"that":[17,131,218],"are":[18,39,68],"as":[19,22,42,96,113,174,230],"statistically":[20],"independent":[21,66,92],"possible":[23],"from":[24],"each":[25],"other.":[26],"Usually,":[27],"the":[28,37,62,65,103,159,182],"ICA":[29,49,58,192],"framework":[30,82],"assumes":[31],"model":[33],"according":[34],"to":[35,90,165,196,223],"which":[36,60,84],"observations":[38,63],"generated":[40],"(such":[41],"linear":[44,154],"transformation":[45],"with":[46,98,139,150],"additive":[47],"noise).":[48],"over":[50,69],"finite":[51,71],"fields":[52,183],"special":[55],"case":[56],"of":[57,80,153,163,184,238],"in":[59,83,181,199,226],"both":[61],"and":[64,119,129,142,187,209,236],"alphabet.":[72],"In":[73,213],"this":[74,81,132,214,219],"paper,":[75,215],"we":[76,216],"consider":[77],"generalization":[79,109],"observation":[86],"decomposed":[89],"its":[91],"(as":[94],"much":[95],"possible)":[97],"no":[99],"prior":[100],"assumption":[101],"on":[102],"way":[104],"it":[105],"was":[106],"generated.":[107],"This":[108],"also":[111,194],"known":[112,173],"Barlow's":[114,166],"minimal":[115,169],"redundancy":[116,170],"representation":[117,171],"problem":[118,134],"considered":[121],"open":[123],"problem.":[124,167],"We":[125],"propose":[126],"several":[127,200],"theorems":[128],"show":[130,217],"hard":[133],"can":[135],"be":[136],"accurately":[137],"solved":[138],"branch":[141],"bound":[143],"search":[144],"tree":[145],"algorithm,":[146],"or":[147],"tightly":[148],"approximated":[149],"series":[152],"problems.":[155],"Our":[156],"contribution":[157],"provides":[158],"first":[160],"efficient":[161],"set":[162],"solutions":[164],"The":[168,190],"(also":[172],"factorial":[175],"code)":[176],"has":[177],"many":[178],"applications,":[179],"mainly":[180],"neural":[185],"networks":[186],"deep":[188],"learning.":[189],"binary":[191],"shown":[195],"have":[197],"applications":[198],"domains,":[201],"including":[202],"medical":[203],"diagnosis,":[204],"multi-cluster":[205],"assignment,":[206],"network":[207],"tomography,":[208],"internet":[210],"resource":[211],"management.":[212],"formulation":[220],"further":[221],"applies":[222],"multiple":[224],"disciplines":[225],"source":[227,234],"coding,":[228,232,235],"such":[229],"predictive":[231],"distributed":[233],"coding":[237],"large":[239],"alphabet":[240],"sources.":[241]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}