Annealing for Distributed Global Optimization

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    13 Scopus citations

    Abstract

    The paper proves convergence to global optima for a class of distributed algorithms for nonconvex optimization in network-based multi-agent settings. Agents are permitted to communicate over a time-varying undirected graph. Each agent is assumed to possess a local objective function (assumed to be smooth, but possibly nonconvex). The paper considers algorithms for optimizing the sum function. A distributed algorithm of the consensus + innovations type is proposed which relies on first-order information at the agent level. Under appropriate conditions on network connectivity and the cost objective, convergence to the set of global optima is achieved by an annealing-type approach, with decaying Gaussian noise independently added into each agent's update step. It is shown that the proposed algorithm converges in probability to the set of global minima of the sum function.

    Original languageEnglish (US)
    Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages3018-3025
    Number of pages8
    ISBN (Electronic)9781728113982
    DOIs
    StatePublished - Dec 2019
    Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
    Duration: Dec 11 2019Dec 13 2019

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    Volume2019-December
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference58th IEEE Conference on Decision and Control, CDC 2019
    Country/TerritoryFrance
    CityNice
    Period12/11/1912/13/19

    All Science Journal Classification (ASJC) codes

    • Control and Systems Engineering
    • Modeling and Simulation
    • Control and Optimization

    Fingerprint

    Dive into the research topics of 'Annealing for Distributed Global Optimization'. Together they form a unique fingerprint.

    Cite this