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 75 for “"geometric structure"”.
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Infinitely Often Dense Bases and Geometric Structure of Sumsets
… the second chapter, we'll see how sumsets appear geometrically. Assume A is a finite set of lattice points and h*D=h˙x:x∈conv A is a full dimensional polytope. Then we'll see that there is a constant rho with the following property: for any positive integer h, any integral point in the …
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Nonlinear Models and Geometric Structure of Fluid Forcing on Moving Bodies
… distinct contexts, and methods for analyzing the geometric structure within those and other mathematical models. This manuscript style dissertation presents three works within the theme of understanding fluid forcing and geometric structure. When a bluff body is free to move in the presence of an …
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Discrete Differential Geometry of Thin Materials for Computational Mechanics
… approach to computation is to discretize the geometric structure specific to the problem first, and then compute with the discrete geometry. This structure-respecting discrete-differential-geometric (DDG) approach often leads to new algorithms that more accurately track the physically behavior …
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Topics on the geometry and classification of Banach lattices
We examine topics related to the geometric structure of Banach lattices of various classes, their properties, and classification using tools from functional analysis and mathematical logic. This work can be roughly divided into four parts. The first part (Chapter 2) presents several geometric …
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Geometric Probing
We consider problems in geometric probing, the algorithmic study of determining a geometric structure or some aspect of that structure from the results of a mathematical or physical measuring device. A variety of problems from robotics, medical instrumentation, mathematical optimization, integral …
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Studies of effusive constrictive pericarditis
… determine the prevalence, predictors, fractal (geometric) structure, biomarker signature, and outcome of effusive constrictive TB pericarditis.
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Directional image representations using nonseparable lifting
… processing tasks. Because of the nonstationary geometric structure of natural images, representations derived from one-dimensional tensor products or compact frequency support will be suboptimal. Therefore, there is strong motivation to search for more powerful methods to efficiently represent …
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Structuring Representation Geometry in Self-Supervised Learning
… downstream tasks, from the point of view of the geometric structure of representation space. We investigate this question in the context of self-supervised learning, a paradigm that extracts meaningful representations by leveraging the structure of the data itself without relying on explicit …
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Viewpoint estimation in medical imaging
… of the classification models. Meanwhile, a geometric structure-aware cost function is used to account for the geometric continuity of the viewpoint space. Several 3D rotation methods such as Euler angle, axis-angle, and quaternions are investigated for viewpoint representation. The results …
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Multifield inflation and differential geometry
… examine such multifield models and find a rich geometric structure. After a conformal transformation of spacetime, the target field-space acquires non-trivial curvature. We explore two main consequences. First, we construct a field-space covariant framework to study quantum perturbations, …
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Simulation based modeling of the elastic properties of structural wood based composite lumber
… during the hot-pressing procedure, and the geometric structure of the composites. Using the results of these investigations, computer models were created based on principles of deterministic and stochastic simulations. Generated elastic parameters were validated against experimentally …
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Dynamics of Randomly Perturbed Nonlinear Structural and Mechanical Systems With Resonances
… in depth with the aim of discovering a common geometric structure in the phase space, and determine the effects of noisy perturbations on the passage of trajectories through the resonance zone. We consider the noisy, periodically driven Duffing equation as a prototypical 1-DOF system and …
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Model driven segmentation and the detection of bone fractures
… The focus of this research is to explore whether geometric criteria can be used to detect bone fractures from Computed Tomography data. Conventional image processing of CT data is aimed at the production of simple iso-surfaces for surgical planning or diagnosis - such methods are not suitable for …
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Improved methods for rapid and scalable tissue clearing and labeling
… of the human cortex and also interrogated the geometric structure of the fiber pathways in mouse brains. Such integrated high-dimensional information may accelerate our understanding of biological systems at multiple levels.
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Local illumination models from surface geometry microform
… behaviour from the knowledge of the microscopic geometric structure.
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Connecting Deep Learning Models to the Human Brain
… questions about how closely the computations and geometric structure of these models mirror that of the human brain. Our method starts with measuring brain activity in response to vision and language stimuli and then exposes these stimuli to deep learning models to collect their internal …
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Geometric optimization algorithms for linear regression on fixed-rank matrices
… large-scale problems. Specifically, we adopt a geometric optimization viewpoint to address the problem of linear regression in nonlinear and high-dimensional matrix search spaces. Our purpose is to efficiently exploit the geometric structure of the search space in the design of scalable linear …
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Constrained Optimization on SO(3), via Pseudospectral Collocation
… optimization techniques to preserve its geometric structure. Riemannian optimization is enabled by mapping problems to the tangent space through equivariant transformations, with the Cayley map providing a computationally efficient coordinate representation. The resulting discretized …
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