Clustering Positive Definite Matrices by Learning Information Divergences

Panagiotis Stanitsas, Anoop Cherian, Vassilios Morellas, Nikolaos Papanikolopoulos

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    5 Citations (Scopus)

    Abstract

    Data representations based on Symmetric Positive Definite (SPD) matrices are gaining popularity in visual learning applications. When comparing SPD matrices, measures based on non-linear geometries often yield beneficial results. However, a manual selection process is commonly used to identify the appropriate measure for a visual learning application. In this paper, we study the problem of clustering SPD matrices while automatically learning a suitable measure. We propose a novel formulation that jointly (i) clusters the input SPD matrices in a K-Means setup and (ii) learns a suitable non-linear measure for comparing SPD matrices. For (ii), we capitalize on the recently introduced αβ-logdet divergence, which generalizes a family of popular similarity measures on SPD matrices. Our formulation is cast in a Riemannian optimization framework and solved using a conjugate gradient scheme. We present experiments on five computer vision datasets and demonstrate state-of-the-art performance.

    Original languageEnglish
    Title of host publicationProceedings - 2017 IEEE International Conference on Computer Vision Workshops, ICCVW 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1304-1312
    Number of pages9
    ISBN (Electronic)9781538610343
    DOIs
    Publication statusPublished - 1 Jul 2017
    Event16th IEEE International Conference on Computer Vision Workshops, ICCVW 2017 - Venice, Italy
    Duration: 22 Oct 201729 Oct 2017

    Publication series

    NameProceedings - 2017 IEEE International Conference on Computer Vision Workshops, ICCVW 2017
    Volume2018-January

    Conference

    Conference16th IEEE International Conference on Computer Vision Workshops, ICCVW 2017
    Country/TerritoryItaly
    CityVenice
    Period22/10/1729/10/17

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