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 39 for “"Dimensional reduction"”.
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Nonlinear Filtering: Dimensional Reduction and Particle Methods
… estimation scheme which is able to combine large dimensional systems with large volumes of data within a given response time that meets operational demands for health monitoring. We show that our scheme can be effectively used for this significant and challenging problem by providing a near …
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Dimensional reduction in nonlinear estimation of multiscale systems
… maximum likelihood estimation is used to study dimensional reduction in the parameter estimation problem. The main contribution of this work are 1) a theoretical basis for a reduced-dimension filter, 2) a proposed numerical scheme for the reduced-dimension filter, 3) a theoretical basis for …
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Visual exploration of multivariate data in breast cancer by dimensional reduction
… improvement of computational techniques based on dimensional data reduction for the visual exploration of DCE-MRI and DNA microarray data in breast cancer. Algorithms for dimensional data reduction aim to compute low-dimensional projections of high-dimensional data while best preserving the data …
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A Computational Framework for Dimensionally Reduced Particle Dynamics in Magnetic Nozzle Fields: An Adiabatic Invariant Approach
This thesis investigates a dimensional reduction strategy for modeling charged particle trajectories in electromagnetic fields representative of magnetic nozzle expansion regions. By employing Julia’s DifferentialEquations.jl and Python’s scientific libraries, particle trajectories are integrated …
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Techniques for automated classification of nighttime ionospheric images
… complexity of the classification process through dimensional reduction. It was found that a conditional random field (CRF) model provides the best classification accuracy. Accuracies of 80% - 90% were achieved for classification of EPBs, clear images and cloudy images. Classification of MSTIDs had …
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DUALITIES IN FOUR, THREE AND TWO DIMENSIONS
… A central topic explored is the idea of dimensional reduction, which allows for connecting different dualities across dimensions, providing in this way a common origin to many seemingly unrelated dualities. Additionally, supersymmetric partition functions provide a crucial tool to …
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Inferences on high-dimensional data
"Dimension reduction techniques are important in the problem of regression and prediction when the nominal number of predicting variables is greater than the number of observations. Two methods, principal components analysis (PCA) and partial least squares (PLS), are used for regression and …
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Investigation of triphenylene-based radical-containing ligand bridges in mediating electronic spin coupling and sensing chemical analytes
… resembling the building blocks of HXTP-based two-dimensional metal-organic frameworks (2D MOFs), these trimetallic complexes are further discussed as molecular models for the MOFs in the context of dimensional reduction. Moreover, the HXTP-centered radical with oxygen bridgehead atoms possesses …
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Analytical and computational methods for the study of rare event probabilities in dispersive and dissipative waves
… associated with rare events in nonlinear, large-dimensional lightwave systems that are driven by noise, including models for fiber-based optical communication system and mode-locked lasers. Throughout the last decade, IS has emerged as a valuable tool for improving the efficiency of simulating …
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Chiral symmetry restoration in the three-dimensional four-fermion model at non-zero temperature and density
The phase structure of the three-dimensional four-fermion model with a Z2 chiral symmetry at non-zero temperature Tor non-zero chemical potential μ is investigated. The main purpose of the study is to serve as an orientation for the more complex problem of the chiral phase transition in Quantum …
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Quantitative methods for linking transcriptional profiles to physiology
… DNA microarrays. Through the application of dimensional reduction methods such as PCA, and interactive pattern exploration, evidence for the existence of quantitative relations between gene expression signatures and physiological markers is presented. Subsequently, a large-scale experiment is …
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Topological semimetals and nodal superconductors
… Finally, by using K-theory arguments and a dimensional reduction procedure from higher-dimensional topological insulators and superconductors, we derive a classification of topologically stable Fermi surfaces in semimetals and nodal lines in superconductors.
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Stochastic stability of power systems
… We approach the problem in this work through dimensional reduction in nonlinear filtering. This can be understood as a combination of filtering and averaging. Recent advances in the development of particle filters are applied to the Single Machine Infinite Bus (SMIB) seven dimensional model of …
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From cognitive to docitive radios: the role of machine learning in intelligent wireless multimedia networks
… transmission; manifold learning is explored for dimensional reduction and user similarity measurement. Mixed preemptive resume priority and non-preemptive resume priority M/G/1 queueing models are proposed to for modeling the spectrum usage behavior for prioritized multimedia applications in …
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Higher Derivative Corrections to the Low-Energy E ective Action of Type IIA/B String Theory and M-theory
… string theory. In addition, the unique eleven dimensional supergravity theory is the low-energy eective action of M-theory. Higher order corrections to the low-energy eective actions of these supergravity theories contain perturbative and non-perturbative eects<br/>of the corresponding string …
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Dualities and Categorical Structures from 2D Up
… structure of the QFT resulting from its dimensional reduction on Calabi-Yau (CY) manifolds, the latter being complex manifolds admitting a category theory description. In particular, the work of Kapustin, Rozansky and Saulina (KRS) has shown how this can be achieved in terms of a 3D TFT …
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Kaluza-Klein Reduction of Pure Gravity and its Implications for K3 Surface Compactifications
… of very small size. Since this initial proposal dimensional reduction has been incorporated into string theory, where the compactification manifold of choice is a Calabi-Yau manifold. In this dissertation, we investigate reduction via the Kaluza-Klein mechanism by considering the general …
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Fluid-structure interaction in noisy nonlinear systems
… is concerned with the application of stochastic dimensional reduction to a twelve-dimensional aeroelastic model (i.e., two degrees of freedom that characterize the aerodynamics, two auxiliary degrees of freedom, and a four dimensional real noise process). The entire analysis is done in the …
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Topological solitons of the nonlinear Dirac equation in 2+1 dimensional space time
… with the primary focus being on planar, (2 + 1) dimensional nonlinear Dirac models.We study a (2 + 1) dimensional extension of the (2 + 0) dimensional reduction the complex sine-Gordon. This is a tachyonic nonlinear Dirac equation whose linear part can be reduced to the imaginary mass …
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Two topics in non-perturbative lattice field theories : the U(1) quantum link model and perfect actions for scalar theories
… symmetry. A Hamiltonian is constructed on a four-dimensional Euclidean space-time lattice which is invariant under local transformations. The model is formulated as a 5-dimensional path integral of discrete variables. We argue that dimensional reduction will allow us to study the behavior of the …
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