{"id":"https://openalex.org/W3015239230","doi":"https://doi.org/10.1109/icassp40776.2020.9052956","title":"On Distributed Stochastic Gradient Descent for Nonconvex Functions in the Presence of Byzantines","display_name":"On Distributed Stochastic Gradient Descent for Nonconvex Functions in the Presence of Byzantines","publication_year":2020,"publication_date":"2020-04-09","ids":{"openalex":"https://openalex.org/W3015239230","doi":"https://doi.org/10.1109/icassp40776.2020.9052956","mag":"3015239230"},"language":"en","primary_location":{"id":"doi:10.1109/icassp40776.2020.9052956","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9052956","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5028132157","display_name":"Saikiran Bulusu","orcid":"https://orcid.org/0000-0002-4594-4844"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Saikiran Bulusu","raw_affiliation_strings":["EECS Department, Syracuse University"],"affiliations":[{"raw_affiliation_string":"EECS Department, Syracuse University","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015133769","display_name":"Prashant Khanduri","orcid":"https://orcid.org/0000-0003-3055-2917"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Prashant Khanduri","raw_affiliation_strings":["EECS Department, Syracuse University"],"affiliations":[{"raw_affiliation_string":"EECS Department, Syracuse University","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028196076","display_name":"Pranay Sharma","orcid":"https://orcid.org/0009-0007-8027-7913"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pranay Sharma","raw_affiliation_strings":["EECS Department, Syracuse University"],"affiliations":[{"raw_affiliation_string":"EECS Department, Syracuse University","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018292481","display_name":"Pramod K. Varshney","orcid":"https://orcid.org/0000-0003-4504-5088"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pramod K. Varshney","raw_affiliation_strings":["EECS Department, Syracuse University"],"affiliations":[{"raw_affiliation_string":"EECS Department, Syracuse University","institution_ids":["https://openalex.org/I70983195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028132157"],"corresponding_institution_ids":["https://openalex.org/I70983195"],"apc_list":null,"apc_paid":null,"fwci":0.7954,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77672056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3137","last_page":"3141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9993000030517578,"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":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9912999868392944,"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/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.6224126815795898},{"id":"https://openalex.org/keywords/fusion-center","display_name":"Fusion center","score":0.5615364909172058},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5389685034751892},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5365377068519592},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.48632320761680603},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46804261207580566},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4586813747882843},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41918861865997314},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3752884864807129},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3308325707912445},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33010226488113403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3181414306163788},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2973244786262512},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.2560618817806244},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.12374857068061829},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.07764628529548645},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07113611698150635}],"concepts":[{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.6224126815795898},{"id":"https://openalex.org/C2781234732","wikidata":"https://www.wikidata.org/wiki/Q943505","display_name":"Fusion center","level":4,"score":0.5615364909172058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5389685034751892},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5365377068519592},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.48632320761680603},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46804261207580566},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4586813747882843},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41918861865997314},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3752884864807129},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3308325707912445},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33010226488113403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3181414306163788},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2973244786262512},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2560618817806244},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.12374857068061829},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.07764628529548645},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07113611698150635},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp40776.2020.9052956","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9052956","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W866281365","https://openalex.org/W1980147176","https://openalex.org/W2009537245","https://openalex.org/W2022829242","https://openalex.org/W2130062883","https://openalex.org/W2132737349","https://openalex.org/W2138243089","https://openalex.org/W2166706236","https://openalex.org/W2535838896","https://openalex.org/W2617960902","https://openalex.org/W2752689052","https://openalex.org/W2788308444","https://openalex.org/W2788816110","https://openalex.org/W2789903762","https://openalex.org/W2789911054","https://openalex.org/W2891735383","https://openalex.org/W2897474720","https://openalex.org/W2919115771","https://openalex.org/W2944542720","https://openalex.org/W2949934631","https://openalex.org/W2963165390","https://openalex.org/W2963228337","https://openalex.org/W2963334472","https://openalex.org/W2964275427","https://openalex.org/W2964279249","https://openalex.org/W3137092842","https://openalex.org/W4297687186","https://openalex.org/W6679314259","https://openalex.org/W6679393576","https://openalex.org/W6680402377","https://openalex.org/W6684249991","https://openalex.org/W6738250615","https://openalex.org/W6743821447","https://openalex.org/W6748268456","https://openalex.org/W6748626757","https://openalex.org/W6748786018","https://openalex.org/W6754776447","https://openalex.org/W6755593096","https://openalex.org/W6762930437"],"related_works":["https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W4362706668","https://openalex.org/W4231621013","https://openalex.org/W2015288657","https://openalex.org/W3171021120","https://openalex.org/W3008318776","https://openalex.org/W2041416246"],"abstract_inverted_index":{"We":[0,71,102],"consider":[1],"the":[2,18,23,34,45,69,83,99,141,149,155],"distributed":[3,59,77],"stochastic":[4,30,60],"optimization":[5],"problem":[6,156],"of":[7,44,58,76,85,154],"minimizing":[8],"a":[9,73,91],"nonconvex":[10,142],"function":[11],"f":[12],"in":[13,22],"an":[14,127],"adversarial":[15],"setting.":[16],"All":[17],"w":[19],"worker":[20],"nodes":[21,46],"network":[24],"are":[25,123],"expected":[26],"to":[27,33,82,125],"send":[28,52],"their":[29],"gradient":[31,61],"vectors":[32,54],"fusion":[35,88],"center":[36,89],"(or":[37],"server).":[38],"However,":[39],"some":[40],"(at":[41],"most":[42],"\u03b1-fraction)":[43],"may":[47,51],"be":[48],"Byzantines,":[49],"which":[50,79],"arbitrary":[53],"instead.":[55],"Vanilla":[56],"implementation":[57],"descent":[62],"(SGD)":[63],"cannot":[64],"handle":[65],"such":[66,132],"misbehavior":[67],"from":[68],"nodes.":[70,101],"propose":[72],"robust":[74],"variant":[75],"SGD":[78],"is":[80,152],"resilient":[81],"presence":[84],"Byzantines.":[86],"The":[87],"employs":[90],"novel":[92],"filtering":[93],"rule":[94],"that":[95,104,133],"identifies":[96],"and":[97],"removes":[98],"Byzantine":[100],"show":[103],"T":[105],"=":[106],"\u00d5":[107],"(1/w\u03f5":[108],"<sup":[109,114,118,135],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[110,115,119,136],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[111,116,120,137],"+":[112],"\u03b1":[113],"/\u03f5":[117],")":[121],"iterations":[122],"needed":[124],"achieve":[126],"\u03f5-approximate":[128],"stationary":[129],"point":[130],"(x":[131],"\u2225\u2207f(x)\u2225":[134],"\u2264":[138],"\u03f5)":[139],"for":[140],"learning":[143],"problem.":[144],"Unlike":[145],"other":[146],"existing":[147],"approaches,":[148],"proposed":[150],"algorithm":[151],"independent":[153],"dimension.":[157]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
