{"id":"https://openalex.org/W2242547588","doi":"https://doi.org/10.1109/tsp.2015.2489600","title":"Fault-Tolerant Associative Memories Based on &lt;formula formulatype=\"inline\"&gt;&lt;tex Notation=\"TeX\"&gt;$c$&lt;/tex&gt;&lt;/formula&gt;-Partite Graphs","display_name":"Fault-Tolerant Associative Memories Based on &lt;formula formulatype=\"inline\"&gt;&lt;tex Notation=\"TeX\"&gt;$c$&lt;/tex&gt;&lt;/formula&gt;-Partite Graphs","publication_year":2015,"publication_date":"2015-10-13","ids":{"openalex":"https://openalex.org/W2242547588","doi":"https://doi.org/10.1109/tsp.2015.2489600","mag":"2242547588"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2015.2489600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2489600","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-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/A5038571252","display_name":"Fran\u00e7ois Leduc-Primeau","orcid":"https://orcid.org/0000-0002-5528-8510"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Francois Leduc-Primeau","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, Canada","Department of Electrical and Computer Engineering  [Mc Gill University] (Canada)"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering  [Mc Gill University] (Canada)","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068330560","display_name":"Vincent Gripon","orcid":"https://orcid.org/0000-0002-4353-4542"},"institutions":[{"id":"https://openalex.org/I4210148559","display_name":"\u00c9cole nationale sup\u00e9rieure de techniques avanc\u00e9es Bretagne","ror":"https://ror.org/059n54003","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102","https://openalex.org/I4210148559"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Gripon","raw_affiliation_strings":["Electronics Department, T\u00e9l\u00e9com Bretagne, Brest, France","Lab-STICC_TB_CACS_IAS (France)","ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)"],"affiliations":[{"raw_affiliation_string":"Electronics Department, T\u00e9l\u00e9com Bretagne, Brest, France","institution_ids":["https://openalex.org/I4210148559"]},{"raw_affiliation_string":"Lab-STICC_TB_CACS_IAS (France)","institution_ids":["https://openalex.org/I161929037"]},{"raw_affiliation_string":"ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089819604","display_name":"Michael Rabbat","orcid":"https://orcid.org/0000-0003-0536-7904"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael G. Rabbat","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, Canada","Department of Electrical and Computer Engineering  [Mc Gill University] (Canada)"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering  [Mc Gill University] (Canada)","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091600002","display_name":"Warren J. Gross","orcid":"https://orcid.org/0000-0002-6226-6037"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Warren J. Gross","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, Canada","Department of Electrical and Computer Engineering  [Mc Gill University] (Canada)"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering  [Mc Gill University] (Canada)","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038571252"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":0.7023,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76610019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"64","issue":"4","first_page":"829","last_page":"841"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9983000159263611,"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/fault-tolerance","display_name":"Fault tolerance","score":0.7191958427429199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7177956700325012},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.6768763065338135},{"id":"https://openalex.org/keywords/content-addressable-memory","display_name":"Content-addressable memory","score":0.5686812996864319},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4665835499763489},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4520249366760254},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4357711672782898},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4276798665523529},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36460256576538086},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3440817594528198},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.23367762565612793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20574107766151428},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15760627388954163},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13630229234695435},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.07443100214004517}],"concepts":[{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.7191958427429199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7177956700325012},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.6768763065338135},{"id":"https://openalex.org/C53442348","wikidata":"https://www.wikidata.org/wiki/Q745101","display_name":"Content-addressable memory","level":3,"score":0.5686812996864319},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4665835499763489},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4520249366760254},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4357711672782898},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4276798665523529},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36460256576538086},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3440817594528198},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.23367762565612793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20574107766151428},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15760627388954163},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13630229234695435},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.07443100214004517},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2015.2489600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2489600","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01314706v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01314706","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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 Signal Processing, 2016, 64 (4), pp.829 - 841. &#x27E8;10.1109/TSP.2015.2489600&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:publications.polymtl.ca:41646","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/41646/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1504633044","https://openalex.org/W1553143087","https://openalex.org/W1560745155","https://openalex.org/W1982515552","https://openalex.org/W1984431842","https://openalex.org/W1998525920","https://openalex.org/W2016545789","https://openalex.org/W2026731931","https://openalex.org/W2026738815","https://openalex.org/W2037073464","https://openalex.org/W2037808679","https://openalex.org/W2061176924","https://openalex.org/W2062143991","https://openalex.org/W2068061330","https://openalex.org/W2078063367","https://openalex.org/W2082622165","https://openalex.org/W2086523057","https://openalex.org/W2095665333","https://openalex.org/W2096927458","https://openalex.org/W2101055774","https://openalex.org/W2104551188","https://openalex.org/W2106169150","https://openalex.org/W2115324389","https://openalex.org/W2117648153","https://openalex.org/W2121160181","https://openalex.org/W2126076951","https://openalex.org/W2128084896","https://openalex.org/W2140253920","https://openalex.org/W2143285027","https://openalex.org/W2478708596","https://openalex.org/W2551106978","https://openalex.org/W4237150160","https://openalex.org/W6633343320","https://openalex.org/W6675243368"],"related_works":["https://openalex.org/W1492794944","https://openalex.org/W169603398","https://openalex.org/W2913274341","https://openalex.org/W2049033869","https://openalex.org/W2046912830","https://openalex.org/W279701215","https://openalex.org/W1984090010","https://openalex.org/W2107697999","https://openalex.org/W1902246517","https://openalex.org/W3145837419"],"abstract_inverted_index":{"Associative":[0],"memories":[1,23,33,95],"allow":[2,48],"the":[3,40,61,75,108,114,124,134,138,147,152,168],"retrieval":[4,62,76,109,139],"of":[5,12,39,42,107,118,123,133,137],"previously":[6],"stored":[7,169],"messages":[8,50],"given":[9],"a":[10,56,104,161],"part":[11],"their":[13],"content.":[14],"In":[15,111],"this":[16],"paper,":[17],"we":[18],"are":[19,34,81,127,141],"interested":[20],"in":[21,37],"associative":[22,94,154],"based":[24],"on":[25],"c-partite":[26],"graphs":[27],"that":[28,64,92],"were":[29],"recently":[30],"introduced.":[31],"These":[32],"almost":[35],"optimal":[36],"terms":[38],"amount":[41],"storage":[43,125,145],"they":[44],"require":[45],"(efficiency)":[46],"and":[47,73,89],"retrieving":[49],"with":[51,103],"low":[52],"complexity.":[53],"We":[54,85],"propose":[55],"generic":[57],"implementation":[58],"model":[59],"for":[60,166],"algorithm":[63,140],"can":[65,96,156],"be":[66,97,157],"readily":[67],"mapped":[68],"to":[69,100,159],"an":[70],"integrated":[71],"circuit":[72,101],"study":[74],"performance":[77],"when":[78,121,131],"hardware":[79],"components":[80],"affected":[82],"by":[83,151],"faults.":[84],"show":[86],"using":[87,160],"analytical":[88],"simulation":[90],"results":[91],"these":[93],"made":[98],"resilient":[99],"faults":[102],"minor":[105],"modification":[106],"algorithm.":[110],"one":[112],"example,":[113],"memory":[115,155],"retains":[116],"88%":[117],"its":[119],"efficiency":[120],"1%":[122],"cells":[126],"faulty,":[128],"or":[129],"98%":[130],"0.1%":[132],"binary":[135],"outputs":[136],"faulty.":[142],"When":[143],"considering":[144],"faults,":[146],"fault":[148],"tolerance":[149],"exhibited":[150],"proposed":[153],"comparable":[158],"capacity-achieving":[162],"error":[163],"correction":[164],"code":[165],"protecting":[167],"information.":[170]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
