Geometrical methods of inference

Krzysztof Andrzej Krakowski

    Research output: ThesisDoctoral Thesis

    11 Downloads (Pure)

    Abstract

    [Truncated] The central aim of the thesis is to investigate and present results of studies of two geometrical methods of inference: the measure of central tendency in Riemannian manifolds - the Riemannian mean and; the interpolation of data points in Riemannian manifolds - the Riemannian variational curves.
    Riemannian manifolds are smooth spaces equipped with a metric allowing to measure geometric quantities like distances and angles. Riemannian geometry ­ the branch of differential geometry concerning Riemannian manifolds - evolved from Euclid's plane and solid geometry, and from Gauss's theory of curved spaces. The thesis develops a geometrical approach to investigations of data in Riemannian manifolds.
    Original languageEnglish
    QualificationDoctor of Philosophy
    Awarding Institution
    • The University of Western Australia
    DOIs
    Publication statusUnpublished - 2002

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    This thesis has been made available in the UWA Profiles and Research Repository as part of a UWA Library project to digitise and make available theses completed before 2003. If you are the author of this thesis and would like it removed from the UWA Profiles and Research Repository, please contact digitaltheses-lib@uwa.edu.au

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