Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 14 of 14 for “"Gaussian random fields"”.
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Semiparametric estimation with clustered right censored data via multivariate gaussian random fields
… is probit-transformed yielding a multivariate Gaussian random field preserving the spatial correlation function. The data is analyzed using counting process and geostatistical formulation that led to a class of weighted pairwise semiparametric estimating functions. In the independence case, …
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Statistical modeling and analysis of partially observed infectious diseases
… varying as a function of some unobserved Gaussian random fields realizations. In addition, we also considered diseases coinfection models allowing multiple strains transmission and recovery. For each model, Bayesian inference approach was developed and implemented via MCMC framework using …
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Probabilistic approaches in civil engineering: generation of random fields and structural identification with genetic algorithms
… and efficient generation of samples of the random processes and fields involved in the problem at hand. In the present thesis an original method for the simulation of homogeneous, multi-dimensional, multi-variate, non-Gaussian random fields is proposed. The algorithm has proved to be very …
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Topics in applied topology
… persistence structures when applied to smooth Gaussian random fields, deriving expected values for quantities related to Whitney singularities, which provides a foundation for understanding typical topological behavior in random biparameteric data. On the algorithmic front, this thesis explores …
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Understanding scale impacts of heterogeneity and topography on water and energy fluxes in mountain meadows using a fully-integrated hydrologic model
… states and fluxes was explored using correlated, Gaussian random fields to represent the spatial distribution of soil. Output comparisons have shown that land cover heterogeneity plays an important role in controlling water and energy fluxes, such as snowmelt and ET, while topography and soil …
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Approximation of random/stochastic partial differential equations
… of partial differential equations (PDEs) with randomness or stochasticity. We focus on three rather different problems: a study of random fields on spherical shells, and its applications to PDE problems; quasi-Monte Carlo (QMC) methods for a class of PDEs with random coefficients; and a …
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Inverse problems in fluid dynamics for magnetic resonance velocimetry
… twin approach to the reconstruction of velocity fields from noisy and sparse magnetic resonance velocimetry signals. The method learns the most probable fluid dynamics model that fits the data by solving a Bayesian inverse Navier-Stokes boundary value problem. This jointly reconstructs and …
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SPDE-derived random fields in structural optimisation and elastodynamics
Random imperfections are an inherent aspect of engineered systems, originating from various sources such as manufacturing variations, material heterogeneity, and environmental factors. These imperfections inevitably introduce uncertainties in the performance of structures which are rarely …
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The influence of micro-porosity on drainage relative permeability using digital core analysis
… single phase and two-phase flow is considered. Gaussian random fields (GRF) and particle based models are combined to generate heterogeneous model structures. The effect of micro-porosity on fluid flow is first examined through a critical length analysis and then confirmed using a flux analysis …
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Models and Methods for Random Fields in Spatial Statistics with Computational Efficiency from Markov Properties
… focus of this work is on the development of new random field models and methods suitable for the analysis of large environmental data sets. A large part is devoted to a number of extensions to the newly proposed Stochastic Partial Differential Equation (SPDE) approach for representing Gaussian …
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Multifield inflation in random potentials and the rapid-turn limit
… precisely how inflation happened, and how many fields were involved, are some of the main challenges of modern cosmology. The first part of the thesis, consisting of Chapters 2 and 3, addresses this question by looking at what future measurements of local non-Gaussianity will tell us. Local …
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Optical transport of pseudo-random coatings
… techniques to model the complex and often pseudo-random nature of structured coatings are not yet fully adequate. In this thesis I will address this problem. Specifically, I will develop improved techniques that can be used on different kinds of coatings: mesoporous metals, random two-phase …
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Statistical methods for assisting computational models for the event horizon telescope
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-03-28 without embargo terms
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Finite elements for higher-order problems in isogeometric analysis and statistical inference
… models using Bayesian inference. However, the Gaussian process inference using covariance matrices is computationally expensive and memory-intensive. Consequently, the size of the finite element model is significantly limited. To this end, we introduce a sparse precision formulation by …