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  • Parallel simplex algorithms and loop spreading

    Creator:
    Wu, Youfeng
    Abstract:
    Parallel solutions for two classes of linear programs are presented. First we parallelized the two-phase revised simplex algorithm and showed that it is possible to get linear improvement in performance. The simplex algorithm is the best known algorithm for solving linear programs, and we claim our result is the best...
    Resource Type:
    Dissertation

  • Spatial graphical models with discrete and continuous components

    Creator:
    Che, Xuan
    Abstract:
    Graphical models use Markov properties to establish associations among dependent variables. To estimate spatial correlation and other parameters in graphical models, the conditional independences and joint probability distribution of the graph need to be specified. We can rely on Gaussian multivariate models to derive the joint distribution when all the...
    Resource Type:
    Dissertation

  • Graphical models for multivariate spatial data

    Creator:
    Irvine, Kathryn M.
    Abstract:
    In this thesis we focus on a graphical model for multivariate spatially correlated data--isomorphic chain graphs (ICG; Gitelman and Herlihy, 2007). We feel ICG allow flexibility for modeling spatial correlation and are intuitively appealing because each model has an associated graph that visually represents a complex multivariate system. We examine...
    Resource Type:
    Dissertation