Reconstruction of support of a measure from its moments

A. M. Jasour, C. Lagoa

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

    1 Scopus citations

    Abstract

    In this paper, we address the problem of reconstruction of support of a positive finite Borel measure from its moments. More precisely, given a finite subset of the moments of a measure, we develop a semidefinite program for approximating the support of measure using level sets of polynomials. To solve this problem, a sequence of convex relaxations is provided, whose optimal solution is shown to converge to the support of measure of interest. Moreover, the provided approach is modified to improve the results for uniform measures. Numerical examples are presented to illustrate the performance of the proposed approach.

    Original languageEnglish (US)
    Title of host publication53rd IEEE Conference on Decision and Control,CDC 2014
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1911-1916
    Number of pages6
    EditionFebruary
    ISBN (Electronic)9781479977468
    DOIs
    StatePublished - 2014
    Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
    Duration: Dec 15 2014Dec 17 2014

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    NumberFebruary
    Volume2015-February
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Other

    Other2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
    Country/TerritoryUnited States
    CityLos Angeles
    Period12/15/1412/17/14

    All Science Journal Classification (ASJC) codes

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

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