MURAL - Maynooth University Research Archive Library

    Extreme points of the local differential privacy polytope

    Holohan, Naoise and Leith, Douglas J. and Mason, Oliver (2017) Extreme points of the local differential privacy polytope. Linear Algebra and its Applications, 534. pp. 78-96. ISSN 0024-3795

    Download (332kB) | Preview

    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...

    Add this article to your Mendeley library


    We study the convex polytope of n x n stochastic matrices that define locally ϵ-differentially private mechanisms. We first present invariance properties of the polytope and results reducing the number of constraints needed to define it. Our main results concern the extreme points of the polytope. In particular, we completely characterise these for matrices with 1, 2 or n non-zero columns.

    Item Type: Article
    Keywords: Data privacy; Stochastic matrices; Matrix polytopes; Differential privacy;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 11658
    Identification Number:
    Depositing User: Oliver Mason
    Date Deposited: 06 Nov 2019 15:49
    Journal or Publication Title: Linear Algebra and its Applications
    Publisher: Elsevier
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page


    Downloads per month over past year

    Origin of downloads