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  • Matrix-Free Methods in Spatial-Temporal Modeling

    Creator:
    Wang, Chunxiao
    Abstract:
    Spatial-temporal data arises in many applications, for example, environment sciences and disease mapping. This dissertation focuses on Gaussian spatial-temporal data. To make statistical inference for Gaussian spatial-temporal data, we developed a special class of spatial-temporal Gaussian state-space models in which the state vectors are constructed following spatial-temporal Gaussian autoregressions that...
    Resource Type:
    Dissertation
    Full Text:
    data in chapter 2. The models extend the Gaussian Markov random fields from spatial settings to

  • Sequential supervised learning and conditional random fields

    Creator:
    Ashenfelter, Adam J.
    Abstract:
    Supervised learning is concerned with discovering the relationship between example sets of features and their corresponding classes. The traditional supervised learning formulation assumes that all examples are independent from one another. The order of the examples contains no information. Nonetheless, many problems have a sequential nature. Classifiers for these problems...
    Resource Type:
    Masters Thesis
    Full Text:
    a Markov random field where y-to-y relationships are conditioned by the observable x’s. With the y

  • Some results in probability from the functional analytic viewpoint

    Creator:
    Gelbaum, Zachary A.
    Abstract:
    This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We first give a result regarding the existence of certain stochastic integral representations for Banach space valued Gaussian random variables. Next we give a spectral geometric construction...
    Resource Type:
    Dissertation
    Full Text:
    Gaussian process indexed by R to a process indexed by a manifold, now called a random field. It is a fact

  • Demosaicking of color images by means of conditional random fields

    Creator:
    Kelm, Bernd Michael
    Abstract:
    Modern digital still cameras are equipped with just a single CCD for color image acquisition. Since only one spectral band can be recorded in each pixel, a mosaic of red, green and blue color filters is placed in front of the chip. The process of subsequently calculating a full color...
    Resource Type:
    Masters Thesis