{"id":"https://openalex.org/W4404037857","doi":"https://doi.org/10.1109/allerton63246.2024.10735278","title":"Slow Convergence of Interacting Kalman Filters in Word-of-Mouth Social Learning","display_name":"Slow Convergence of Interacting Kalman Filters in Word-of-Mouth Social Learning","publication_year":2024,"publication_date":"2024-09-24","ids":{"openalex":"https://openalex.org/W4404037857","doi":"https://doi.org/10.1109/allerton63246.2024.10735278"},"language":"en","primary_location":{"id":"doi:10.1109/allerton63246.2024.10735278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton63246.2024.10735278","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 60th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-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/A5068804090","display_name":"Vikram Krishnamurthy","orcid":"https://orcid.org/0000-0002-4170-6056"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vikram Krishnamurthy","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057105677","display_name":"Cristian R. Rojas","orcid":"https://orcid.org/0000-0003-0355-2663"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Cristian R. Rojas","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology,Division of Decision and Control Systems,Stockholm,Sweden"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology,Division of Decision and Control Systems,Stockholm,Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068804090"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":0.8836,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73657679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9146000146865845,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.7715585231781006},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6841628551483154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6275195479393005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42219099402427673},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.39114904403686523}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.7715585231781006},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6841628551483154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6275195479393005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42219099402427673},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.39114904403686523},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton63246.2024.10735278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton63246.2024.10735278","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 60th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8129840488","display_name":null,"funder_award_id":"CCF-2112457,CCF-2112457","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2002298818","https://openalex.org/W2069930327","https://openalex.org/W2140950724","https://openalex.org/W2163409259","https://openalex.org/W2272012554","https://openalex.org/W2289935681","https://openalex.org/W2945112127","https://openalex.org/W3122000667","https://openalex.org/W3122816536","https://openalex.org/W3179235957","https://openalex.org/W4205987271","https://openalex.org/W4239466562","https://openalex.org/W4302067816"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"We":[0,120],"consider":[1],"word-of-mouth":[2,148],"social":[3,149],"learning":[4,111,133,159],"involving":[5],"<tex":[6,51,71,75,81,96,106,140],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,52,72,76,82,97,107,141],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$m$</tex>":[8,98],"Kalman":[9,17,26,39,48,87],"filter":[10,18,27],"agents":[11],"that":[12,94,123,146],"operate":[13],"sequentially.":[14],"The":[15,41,143],"first":[16],"receives":[19,28],"the":[20,33,37,46,55,65,85,100,110,116,127,132,153,157],"raw":[21],"observations,":[22,78],"while":[23],"each":[24,130],"subsequent":[25],"a":[29,61],"noisy":[30,58],"measurement":[31],"of":[32,36,60,80,118],"conditional":[34],"mean":[35],"previous":[38],"filter.":[40,49,88],"prior":[42,128,154],"is":[43,145],"updated":[44],"by":[45,124],"m-th":[47],"When":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$m=2$</tex>,":[53],"and":[54],"observations":[56],"are":[57],"measurements":[59],"Gaussian":[62],"random":[63],"variable,":[64],"covariance":[66,101],"goes":[67],"to":[68,103],"zero":[69,104],"as":[70,105,139],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k^{-1/3}$</tex>":[73],"for":[74,95],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k$</tex>":[77],"instead":[79],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$O(k^{-1})$</tex>":[83],"in":[84,147],"standard":[86],"In":[89],"this":[90],"paper":[91],"we":[92],"prove":[93],"agents,":[99],"decreases":[102],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k^{-(2^{m}-1)}$</tex>,":[108],"i.e,":[109],"slows":[112],"down":[113],"exponentially":[114],"with":[115],"number":[117],"agents.":[119],"also":[121],"show":[122],"artificially":[125,151],"weighing":[126],"at":[129],"time,":[131],"rate":[134],"can":[135,155],"be":[136],"made":[137],"optimal":[138,158],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k^{-1}$</tex>.":[142],"implication":[144],"learning,":[150],"re-weighing":[152],"yield":[156],"rate.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}