{"id":"https://openalex.org/W2748196763","doi":"https://doi.org/10.1109/tac.2017.2743678","title":"Convergence of Limited Communication Gradient Methods","display_name":"Convergence of Limited Communication Gradient Methods","publication_year":2017,"publication_date":"2017-08-23","ids":{"openalex":"https://openalex.org/W2748196763","doi":"https://doi.org/10.1109/tac.2017.2743678","mag":"2748196763"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2743678","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2743678","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223650","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054704457","display_name":"Sindri Magn\u00fasson","orcid":"https://orcid.org/0000-0002-6617-8683"},"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":true,"raw_author_name":"Sindri Magnusson","raw_affiliation_strings":["School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006306293","display_name":"Chinwendu Enyioha","orcid":null},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chinwendu Enyioha","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100368048","display_name":"Na Li","orcid":"https://orcid.org/0000-0001-9545-3050"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Na Li","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077148700","display_name":"Carlo Fischione","orcid":"https://orcid.org/0000-0001-9810-3478"},"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":"Carlo Fischione","raw_affiliation_strings":["School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020766546","display_name":"Vahid Tarokh","orcid":"https://orcid.org/0000-0003-2994-6302"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vahid Tarokh","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5054704457"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":4.598,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.95343713,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"63","issue":"5","first_page":"1356","last_page":"1371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.998199999332428,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.998199999332428,"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/quantization","display_name":"Quantization (signal processing)","score":0.6994372606277466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6572561860084534},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5723843574523926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5096495151519775},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.480023056268692},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.47639432549476624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47007399797439575},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.45708465576171875},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.45408254861831665},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4355291724205017},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4339524209499359},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4312838315963745},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33511048555374146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31127309799194336},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2290281057357788},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10145729780197144}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6994372606277466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6572561860084534},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5723843574523926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5096495151519775},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.480023056268692},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.47639432549476624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47007399797439575},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.45708465576171875},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.45408254861831665},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4355291724205017},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4339524209499359},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4312838315963745},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33511048555374146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31127309799194336},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2290281057357788},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10145729780197144},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2017.2743678","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2743678","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:kth-223650","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223650","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:kth-223650","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223650","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W139031692","https://openalex.org/W1803224551","https://openalex.org/W1963529497","https://openalex.org/W1989165177","https://openalex.org/W2013414343","https://openalex.org/W2026010631","https://openalex.org/W2027270344","https://openalex.org/W2037710455","https://openalex.org/W2038888321","https://openalex.org/W2042454807","https://openalex.org/W2044212084","https://openalex.org/W2061560193","https://openalex.org/W2076428552","https://openalex.org/W2089162893","https://openalex.org/W2089940759","https://openalex.org/W2091863325","https://openalex.org/W2094336028","https://openalex.org/W2102950464","https://openalex.org/W2105034077","https://openalex.org/W2107664305","https://openalex.org/W2110302464","https://openalex.org/W2124541940","https://openalex.org/W2141788746","https://openalex.org/W2153112477","https://openalex.org/W2156254348","https://openalex.org/W2159715570","https://openalex.org/W2162986857","https://openalex.org/W2221487821","https://openalex.org/W2262889796","https://openalex.org/W2293822637","https://openalex.org/W2295567410","https://openalex.org/W2763066689","https://openalex.org/W2963817278","https://openalex.org/W3141595720","https://openalex.org/W4211092921","https://openalex.org/W4240896209","https://openalex.org/W4250589301","https://openalex.org/W4254313632"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4288346661","https://openalex.org/W2947416323","https://openalex.org/W4313177131","https://openalex.org/W4292651679","https://openalex.org/W2400034325","https://openalex.org/W2499557797","https://openalex.org/W2985014567","https://openalex.org/W4299515259","https://openalex.org/W2032676126"],"abstract_inverted_index":{"Distributed":[0],"optimization":[1,46],"increasingly":[2],"plays":[3],"a":[4,57,64,80,92,110,156,165],"central":[5],"role":[6],"in":[7,28],"economical":[8],"and":[9,85,109,112,148],"sustainable":[10],"operation":[11],"of":[12,19,44,60,67,115,123,133,145,151,161,168,182],"cyber-physical":[13],"systems.":[14,184],"Nevertheless,":[15],"the":[16,20,36,74,98,121,124,143,146,149,162,176],"complete":[17],"potential":[18],"technology":[21],"has":[22],"not":[23],"yet":[24],"been":[25],"fully":[26],"exploited":[27],"practice":[29],"due":[30],"to":[31,95,154,164],"communication":[32],"limitations":[33],"posed":[34],"by":[35,79,180],"real-world":[37],"infrastructures.":[38],"This":[39],"work":[40],"investigates":[41],"fundamental":[42],"properties":[43],"distributed":[45],"based":[47],"on":[48,90,120],"gradient":[49,52,69,75,108],"methods,":[50],"where":[51,73],"information":[53],"is":[54,77,127],"communicated":[55],"using":[56,171],"limited":[58],"number":[59,150],"bits.":[61],"In":[62],"particular,":[63],"general":[65],"class":[66,167],"quantized":[68],"methods":[70,99],"are":[71,88,139,173,178],"studied,":[72],"direction":[76],"approximated":[78],"finite":[81],"quantization":[82,93,125,147],"set.":[83],"Sufficient":[84],"necessary":[86],"conditions":[87],"provided":[89],"such":[91],"set":[94,114,126],"guarantee":[96],"that":[97,141],"minimize":[100],"any":[101],"convex":[102],"objective":[103],"function":[104],"with":[105,130],"Lipschitz":[106],"continuous":[107],"nonempty":[111],"bounded":[113],"optimizers.":[116],"A":[117],"lower":[118],"bound":[119],"cardinality":[122],"provided,":[128],"along":[129],"specific":[131],"examples":[132],"minimal":[134],"quantizations.":[135],"Convergence":[136],"rate":[137],"results":[138,163,177],"established":[140],"connect":[142],"fineness":[144],"iterations":[152],"needed":[153],"reach":[155],"predefined":[157],"solution":[158],"accuracy.":[159],"Generalizations":[160],"relevant":[166],"constrained":[169],"problems":[170],"projections":[172],"considered.":[174],"Finally,":[175],"illustrated":[179],"simulations":[181],"practical":[183]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
