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.
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Showing 1 to 20 of 28 for “"Projection Methods"”.
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Krylov Projection Methods for Model Reduction
… models for large, linear dynamic systems. Projections onto unions of Krylov subspaces lead to a class of reduced-order models known as rational interpolants. The cornerstone of this dissertation is a collection of theory relating Krylov projection to rational interpolation. Based on this …
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Row Projection Methods for Linear Systems
Row projection (RP) methods for solving linear systems of equations are algorithms that require orthogonal projections onto the set of solutions of subsets of the equations. RP methods are categorized and their convergence properties summarized and extended. An implementation approach is presented …
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Random projection methods for stochastic convex minimization
… as in online learning concept. The traditional projection algorithms for solving minimization problems require projecting over complete collection of constraints at once or over a subset of them based on a predefined selection rule. But in practical applications either all of the constraints …
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Projection methods for clustering and semi-supervised classification
This thesis focuses on data projection methods for the purposes of clustering and semi-supervised classification, with a primary focus on clustering. A number of contributions are presented which address this problem in a principled manner; using projection pursuit formulations to identify …
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Geometry Projection Methods for Shape and Topology Optimization
… of this thesis is to develop fictitious domain methods for shape and topology optimization of continuum structures in which an unambiguous definition of the geometry is available. We use fictitious domain methods because they simplify the response analysis by eliminating the need for remeshing …
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Projection Methods for Improved Performance in Adaptive Systems
Further, there are parallel and serial methods for reusing the data. This allows the system designer even greater flexibility in the implementation of the adaptive system. These methods may be further enhanced by the use of acceleration techniques originally developed in a row-projection framework. …
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Projection Methods for Order Reduction of Optimal Human Operator Models
… even for simple controlled elements. Methods for generating less complicated operator models that preserve the most important characteristics of the full order model are developed so that the essential features of the operator dynamics are easier to determine. A new formulation of the …
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Modeling flow encountering abrupt topography using hybridizable discontinuous Galerkin projection methods
… hybridizable discontinuous Galerkin (HDG) projection methods are further developed for ocean dynamics and geophysical fluid predictions. We investigate the effects of the HDG stabilization parameter for both the momentum equation as well as tracer diffusion. We also make a correction to our …
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Biomechanical simulation of virtual physiological humans : modeling of musculoskeletal kinematic and dynamic redundancy using coordinate projection methods
… lead to misinterpretation of results? Coordinate projection methods and their extension for musculoskeletal modeling and simulation are the topic of this thesis. These methods transform the equations of motion into a space of low- or high-dimensionality according to the projection operator. Five …
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Computational Advancements for Solving Large-scale Inverse Problems
… are ill-posed and large-scale. Iterative projection methods have dramatically reduced the computational costs of solving large-scale inverse problems, and regularization methods have been critical in obtaining stable estimations by applying prior information of unknowns via Bayesian …
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Interactive Direct Volume Rendering of Curvilinear and Unstructured Data
Methods for interactive volume rendering of nonrectilinear 3D scientific data sets, such as those generated by the finite element method, are investigated. We focus on the use of projection methods, in particular splatting algorithms, for volume rendering curvilinear and irregular data. The data is …
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Application of pressure-projection algorithms to a sharp projection immersed boundary method for the incompressible Navier-Stokes equations
… second-order accurate sharp immersed boundary projection method with an algebraic structure parallel to the classic fractional step method for the unsteady, incompressible Navier-Stokes equations. While second-order accuracy in time and space is generally achievable for the velocity components, …
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Solution of Nonsymmetric Systems of Equations on a Multiprocessor
… This system of equations is solved using the projection methods with conjugate gradient acceleration. The algorithm has been designed with special emphasis on its suitability for multiprocessors.
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Krylov Subspace Spectral Method with Multigrid for a Time-Dependent, Variable-Coefficient Partial Differential Equation
<p>Krylov Subspace Spectral (KSS) methods are traditionally used to solve time-dependent, variable-coefficient PDEs. They are high-order accurate, component-wise methods that are efficient with variable input sizes.</p> <p>This thesis will demonstrate how one can make KSS methods even more …
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Deriving statistical inference from the application of artificial neural networks to clinical metabolomics data
… multicollinearity. As such, multivariate linear projection methods, such as partial least squares discriminant analysis (PLS-DA) have become standard. Non-linear projections methods, typified by Artificial Neural Networks (ANNs) may be more appropriate to model potential nonlinear latent …
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Ab initio Hartree-Fock and many body perturbation theory calculation of the energies of the excited states of some materials
… body perturbation theory techniques and symmetry projection methods in the study of the energies of the excited states of atomic, molecular and solid state systems is investigated. A perturbation method for finding relativistic corrections to the energy is also investigated. Results are presented …
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Artificial Intelligence and Signal Analysis for COPD Classification: Detecting and Understanding of Respiratory Disease Severities
… issue that demands precise and prompt diagnostic methods. This thesis marks a significant advancement in the field, as it explores the utilisation of artificial intelligence (AI) and advanced signal processing techniques to enhance the diagnostic potential of pulmonary auscultation audio for …
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Interior Node Projection Techniques in Sweeping Algorithms
The enhancement of node projection techniques in sweeping is the subject of this thesis. Sweeping is a method used to produce all-hexahedral finite element meshes on certain classes of geometry. The placement of nodes in the interior of the geometry during the sweeping process remains a difficult …
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Lie algebraic similarity transformations: improving wavefunctions for weak and strong correlations
… have been studied with variational Monte Carlo methods, but we present a formalism to perform non-stochastic calculations. The Hausdorff series generated by these Jastrow factors can be summed exactly without truncation resulting in a set of equations with polynomial computational cost. The …
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Essays on Medium-Term Economic Cycles and Real-Financial Linkages
… 1970-2020, using the linear and non-linear local projection methods to estimate the impulse-response function. The last paper is a joint project with Dr. Nelson Sobrinho (International Monetary Fund). We produce an IMF working paper (‘A Framework for Assessing Low-Income Countries’ Capacity to …
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