{"id":"https://openalex.org/W4391019856","doi":"https://doi.org/10.1109/cdc49753.2023.10383914","title":"Second-Order Properties of Noisy Distributed Gradient Descent","display_name":"Second-Order Properties of Noisy Distributed Gradient Descent","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391019856","doi":"https://doi.org/10.1109/cdc49753.2023.10383914"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101621924","display_name":"Lei Qin","orcid":"https://orcid.org/0000-0003-3975-243X"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lei Qin","raw_affiliation_strings":["University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008753847","display_name":"Michael Cantoni","orcid":"https://orcid.org/0000-0003-0844-1225"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Michael Cantoni","raw_affiliation_strings":["University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047225984","display_name":"Ye Pu","orcid":"https://orcid.org/0000-0001-5924-0859"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ye Pu","raw_affiliation_strings":["University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7324","last_page":"7329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9972000122070312,"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":0.9941999912261963,"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/saddle-point","display_name":"Saddle point","score":0.8065252900123596},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6245806813240051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5668748021125793},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5494446754455566},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5492942929267883},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.536811351776123},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4994208812713623},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49193641543388367},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47631415724754333},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4542246162891388},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.41786548495292664},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.41029149293899536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3393387198448181},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33143454790115356},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12090116739273071},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07075858116149902},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06879255175590515}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.8065252900123596},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6245806813240051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5668748021125793},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5494446754455566},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5492942929267883},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.536811351776123},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4994208812713623},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49193641543388367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47631415724754333},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4542246162891388},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.41786548495292664},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.41029149293899536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3393387198448181},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33143454790115356},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12090116739273071},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07075858116149902},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06879255175590515},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6700000166893005}],"awards":[{"id":"https://openalex.org/G1734641373","display_name":null,"funder_award_id":"DE220101527,DP210103272","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1616857247","https://openalex.org/W1982243808","https://openalex.org/W2044212084","https://openalex.org/W2114791779","https://openalex.org/W2123705108","https://openalex.org/W2129122308","https://openalex.org/W2140819053","https://openalex.org/W2154834860","https://openalex.org/W2793582886","https://openalex.org/W2807424650","https://openalex.org/W2915987858","https://openalex.org/W2963416883","https://openalex.org/W2963427711","https://openalex.org/W2963649943","https://openalex.org/W2964026281","https://openalex.org/W2964256184","https://openalex.org/W3093673559","https://openalex.org/W3118568858","https://openalex.org/W3120430922","https://openalex.org/W4287828901","https://openalex.org/W4292363360","https://openalex.org/W4391019856","https://openalex.org/W6637461557","https://openalex.org/W6734280532","https://openalex.org/W6738336337","https://openalex.org/W6781340008"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W1572705989","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2087062149"],"abstract_inverted_index":{"We":[0],"study":[1],"a":[2,18,50,61,64,77],"fixed":[3],"step-size":[4,75],"distributed":[5],"gradient":[6,31],"descent":[7,32],"algorithm":[8],"for":[9],"solving":[10],"optimization":[11],"problems":[12],"in":[13,94,100],"which":[14],"the":[15,30,67,70,74,88,91,105],"objective":[16],"is":[17,54,84],"finite":[19],"sum":[20],"of":[21,29,63,69,90,96],"smooth":[22],"but":[23],"possibly":[24],"non-convex":[25],"functions.":[26],"Random":[27],"perturbations":[28,93],"directions":[33],"are":[34],"introduced":[35],"at":[36],"each":[37,57],"step":[38],"to":[39,60,86],"actively":[40],"evade":[41],"saddle":[42,98],"points.":[43],"Under":[44],"certain":[45],"regularity":[46],"conditions,":[47],"and":[48,76],"with":[49],"suitable":[51],"step-size,":[52],"it":[53],"established":[55],"that":[56],"agent":[58],"converges":[59],"neighborhood":[62,71],"local":[65],"minimizer;":[66],"size":[68],"depends":[72],"on":[73],"probabilistic":[78],"confidence":[79],"parameter.":[80],"A":[81],"numerical":[82],"example":[83],"presented":[85],"illustrate":[87],"effectiveness":[89],"random":[92],"terms":[95],"escaping":[97],"points":[99],"fewer":[101],"iterations":[102],"than":[103],"without":[104],"perturbations.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}