{"id":1053,"date":"2018-08-22T18:03:22","date_gmt":"2018-08-23T02:03:22","guid":{"rendered":"http:\/\/depts.washington.edu\/uwrainlab\/?page_id=1053"},"modified":"2018-08-22T18:09:10","modified_gmt":"2018-08-23T02:09:10","slug":"online-distributed-convex-optimization-on-dynamic-networks","status":"publish","type":"page","link":"http:\/\/depts.washington.edu\/uwrainlab\/online-distributed-convex-optimization-on-dynamic-networks\/","title":{"rendered":"Online Distributed Convex Optimization on Dynamic Networks"},"content":{"rendered":"<p><strong>S. Hosseini, A. Chapman, M. Mesbahi<\/strong><\/p>\n<p><strong>IEEE Transactions on Automatic Control<\/strong><\/p>\n<div class=\"gs_scl\">\n<div id=\"gsc_vcd_descr\" class=\"gsc_vcd_value\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">This note presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a distributed algorithm based on dual sub-gradient averaging. A convergence rate analysis for the offline optimization, and a regret analysis for the online case, as a function of the underlying dynamic network topology are then presented for both classes of uncertainties. Application of the proposed setup is then discussed for uncertain sensor networks.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<p><strong>Links:<\/strong><\/p>\n<p><a href=\"https:\/\/ieeexplore.ieee.org\/document\/7399359\/\"><img loading=\"lazy\" class=\"alignnone wp-image-810\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download.png\" alt=\"\" width=\"26\" height=\"26\" srcset=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download.png 225w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download-150x150.png 150w\" sizes=\"(max-width: 26px) 100vw, 26px\" \/><\/a> \u00a0 <a href=\"https:\/\/ieeexplore.ieee.org\/stamp\/stamp.jsp?tp=&amp;arnumber=7399359\"><img loading=\"lazy\" class=\"alignnone wp-image-811\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview.png\" alt=\"\" width=\"31\" height=\"31\" srcset=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview.png 250w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview-150x150.png 150w\" sizes=\"(max-width: 31px) 100vw, 31px\" \/><\/a> \u00a0 <a href=\"https:\/\/scholar.google.com\/scholar?hl=en&amp;as_sdt=0%2C48&amp;q=Online+Distributed+Convex+Optimization+on+Dynamic+Networks&amp;btnG=#d=gs_cit&amp;p=&amp;u=%2Fscholar%3Fq%3Dinfo%3ATlk6E0_dszsJ%3Ascholar.google.com%2F%26output%3Dcite%26scirp%3D0%26hl%3Den\"><img loading=\"lazy\" class=\"alignnone wp-image-809\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-300x97.png\" alt=\"\" width=\"65\" height=\"21\" srcset=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-300x97.png 300w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-768x248.png 768w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-1024x330.png 1024w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_.png 1200w\" sizes=\"(max-width: 65px) 100vw, 65px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>S. Hosseini, A. Chapman, M. Mesbahi IEEE Transactions on Automatic Control This note presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a distributed algorithm based on dual sub-gradient averaging. A convergence rate [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1053"}],"collection":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/comments?post=1053"}],"version-history":[{"count":2,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1053\/revisions"}],"predecessor-version":[{"id":1058,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1053\/revisions\/1058"}],"wp:attachment":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media?parent=1053"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}