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 16 of 16 for “"Discrete structures"”.
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Statistical Learning with Discrete Structures: Statistical and Computational Perspectives
… tasks it is of interest to learn estimators with discrete structures (e.g., sparsity, low-rank, shared model parameters, etc)---they are appealing for their interpretability and compactness. However, learning with discrete structures can be computationally challenging. In this thesis, we explore …
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Clustering Partition Models for Discrete Structures with Applications in Geographical Epidemiology
… structured units. For example, irregular structures, like political maps, are considered as well as regular lattices. The main field of application is geographical epidemiology. In this thesis a prior model for the use within a hierarchical Bayesian framework is developed, and a …
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Building generative models over discrete structures : from graphical models to deep learning
… thesis is to investigate generative models over discrete structures, such as binary grids, alignments or arbitrary graphs. We focused on developing models easy to sample from, and we approached the task from two broad perspectives: defining models via structured potential functions, and via …
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Optimization of slender space trusses utilizing a continuum model
… continuum modeling in the optimization of large discrete structures is presented. The use of a continuum model facilitates decomposition of optimization problems and augments the scope and applicability of the multilevel decomposition method. This new concept is demonstrated by the optimization …
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A strain tensor method for three-dimensional optimal Michell structures
In the design of discrete structures such as trusses and frames, important quantitative goals such as minimal weight or minimal compliance often dominate. Many numerical techniques exist to address these needs. However, an analytical approach exists to meet similar goals, which was initiated by …
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Structural grid shell design with Islamic pattern topologies
… can be explored in the preliminary design of discrete structures. This diverse design space motivates the coupling between Islamic patterns and the form finding of funicular grid shells for which structural performance is highly affected by topology and geometry. This thesis examines one such …
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Synthesis, Structure, and Characterization of Hybrid Solids Containing Polyoxometalates and Ruthenium Polypyridyl Complexes
… are inorganic metal oxide cluster anions with discrete structures, have been extensively studied in recent years due to their large variety of applications such as medicine, biology, catalysis, material sciences and chemical analysis. Ruthenium polypyridyl complexes have been extensively …
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The Differential Scheme and Quantum Computation
… as simple dynamical systems that evolve in discrete time, and that systems that evolve in continuous time are often representable by dynamical systems governed by ordinary differential equations. In many applications, e.g., molecular networks and hybrid Fermi-Pasta-Ulam systems, one must …
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Efficient Synthetic Strategies for Discrete Macromolecules: Enabling Exploration of Structure-Property Relationships in Biological and Materials Applications
Discrete macromolecules feature precisely controlled features such as chemical composition, molecular connectivity, stereochemistry, and conformation. Compared to traditionally synthesized disperse polymers, these defined molecular features of discrete polymers offer an opportunity to explore the …
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Narrative Maps: A Computational Model to Support Analysts in Narrative Sensemaking
… reduction) with more abstract high-level discrete structures (e.g., graphs). Finally, we evaluate our proposed framework through an insight-based user study. In particular, we perform a quantitative and qualitative assessment of the behavior of users and explore their cognitive strategies, …
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Constructing quantum spacetime
… Interestingly many of these models rely on discrete structures in their definition or postulate discreteness of spacetime to be fundamental. Besides the direct advantages discretisations provide, e.g. permitting numerical simulations, they come with serious caveats requiring thorough …
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Impact of stability and surface area on fracture toughness of biological structures
… engineering for the realization of engineered structures that are tough, resilient, light, and multi-functional. Over the last few decades, numerical topology optimization has developed into a very powerful design tool to achieve this goal. This work focuses primarily on trabecular bone, which …
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Generalized Synchronization Trees
… framework for modeling systems that contain both discrete and continuous behavior in any combination, as well as enabling novel methods for analyzing such systems. GSTs were inspired by Milner's successful use of Synchronization Trees (STs) to model interconnected computing processes, and GSTs …
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Biological applications, visualizations, and extensions of the long short-term memory network
… produce invalid molecules due to their complex discrete structures. As a solution, we propose a version of active learning that leverages the sequential nature of the LSTM along with its Bayesian capabilities. This approach enables efficient learning of the grammar that governs the generation of …
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Finite-element-based system reliability analysis and updating of fatigue-induced sequential failures
… maintenance based on the actual conditions of structures. Performing reliability analysis and updating of fatigue-induced sequential failure of a structural system is a challenging task. First, the reliability analysis should be performed at the system level in conjunction with sophisticated …