Essays about: "Kronecker product"

Found 3 essays containing the words Kronecker product.

  1. 1. Stability and Controllability of Diffusion Models

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Anton Mörtberg; [2023]
    Keywords : Turing Reaction and Diffusion model; System stability; Kronecker product; System controllability;

    Abstract : Alan Turing explored how patterns emerged in embryos. The modelsexplained by Turing describe how two morphogens interact with eachother and develop certain patterns though different conditions. READ MORE

  2. 2. Reconstruction of past European land cover from pollen data: using spatial statistics and Crank-Nicolson Monte Carlo

    University essay from Lunds universitet/Matematisk statistik

    Author : Lovisa Svensson; [2019]
    Keywords : Pollen data; compositional data; Dirichlet distribution; spatio-temporal reconstruction; Kronecker product; Gaussian Markov random field GMRF ; Markov Chain Monte Carlo MCMC ; Metropolis Hastings MH ; Metropolis adjusted Langevin algorithm MALA ; Mathematics and Statistics;

    Abstract : Given a pollen data set from Europe over a time period, the aim is to reconstruct the past land cover by interpolating from the pollen data values to a continuous map. The data is on compositional form with three vegetation categories; coniferous forest, broadleaved forest and open land. READ MORE

  3. 3. Likelihood ratio tests of separable or double separable covariance structure, and the empirical null distribution

    University essay from Matematiska institutionen

    Author : Anneli Gottfridsson; [2011]
    Keywords : Empirical Null Distribution; Flip-flop Algorithm; Kronecker Product; Likelihood Ratio Test; Matrix Normal Distribution; Maximum Likelihood Estimator; Multilinear Normal Distribution; Separable Covariance Structure; Statistics.;

    Abstract : The focus in this thesis is on the calculations of an empirical null distributionfor likelihood ratio tests testing either separable or double separable covariancematrix structures versus an unstructured covariance matrix. These calculationshave been performed for various dimensions and sample sizes, and are comparedwith the asymptotic χ2-distribution that is commonly used as an approximative distribution. READ MORE