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 983 for “"Tensor"”.
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Sparse tensor transpositions in the tensor algebra compiler
… current state of the art for transposing sparse tensors involves converting the sparse tensor into a list of coordinates, sorting the list of coordinates and finally packing the list of coordinates into the desired sparse tensor format. This thesis explores the potential for faster methodologies. …
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An investigation of sparse tensor formats for tensor libraries
Tensors provide a generalized structure to store arbitrary indexable data, which is applicable in fields such as chemometrics, physics simulations, signal processing and lies at the heart of machine learning. Many naturally occurring tensors are considered sparse as they contain mostly zero values. …
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Towards efficient algorithms and systems for tensor decompositions and tensor networks
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Ordered Topological Tensor Products
Made available in DSpace on 2014-12-09T22:17:53Z (GMT). No. of bitstreams: 1 7000885.pdf: 1459332 bytes, checksum: 991482be6a55e8ec8bad868ad11ad8ec (MD5) Previous issue date: 1969
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Sparse tensor algebra compilation
This dissertation shows how to compile any sparse tensor algebra expression to CPU and GPU code that matches the performance of hand-optimized implementations. A tensor algebra expression is sparse if at least one of its tensor operands is sparse, and a tensor is sparse if most of its values are …
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GPU Accelerated Refined Tensor Voting
… where clarity and accuracy are crucial. The Tensor Voting algorithm offers a robust perceptual organization and feature extraction solution by leveraging geometric and contextual information. However, its high computational complexity has limited its adoption in many cases. Tensors do not …
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Sparse and Structured Tensor Programming
From FORTRAN to NumPy, tensors have revolutionized how we express computation. However, tensors in these, and almost all prominent systems, can only handle dense rectilinear grids of values. Real-world tensors are often structured, containing patterns which allow us to optimize storage or …
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Themes in numerical tensor calculus
… distinct, but related, aspects of numerical tensor calculus. First, we introduce a simple, black-box compression format for tensors with a multiscale structure. By representing the tensor as a sum of compressed tensors defined on increasingly coarse grids, the format captures low-rank …
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TENSOR NETWORKS FOR OPEN QUANTUM SYSTEMS
… or outright impossible even at modest sizes. Tensor networks provide a powerful mathematical tool to address this issue: by efficiently representing only a low-entanglement subspace of the full space of states, they mitigate the exponential scaling and enable faster computations. Their …
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Statistical Analysis on Diffusion Tensor Estimation
Diffusion tensor imaging (DTI) is a relatively new technology of magnetic resonance imaging, which enables us to observe the insight structure of the human body in vivo and non-invasively. It displays water molecule movement by a 3×3 diffusion tensor at each voxel. Tensor field processing, …
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Tensor factorization in civil infrastructure systems
… multiway data analysis, also known as tensor factorization are utilized to address the multiway nature of data from the National Bridge Inventory (NBI). The NBI is the largest bridge database with detailed information on the condition and general attributes of bridges nationwide. …
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Antisymmetric tensor portals to dark matter
… by the so-called “Kalb-Ramond antisymmetric tensor field” or “KR field”. This field first arose in string theory; if dark matter generated through the KR portal were to be detected, it would be the first experimental corroboration of the string theory (and supergravity) frameworks. We show …
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Tensor Products Of Vector Seminormed Spaces
… products. A theory of vector seminorms on the tensor products of vector seminormed spaces is developed in analogy with the theory of tensor products of Banach spaces. Accordingly, a reasonable cross vector seminorm, or simply tensor seminorm, is defined such that a vector seminorm is a tensor …
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Unique Image Representation as a Tensor
<p>This thesis presents a two dimensional orthonormal transform that represents an image as coefficients in 4 independent channels. The salient feature of these coefficients is that they contain complete position spatial frequency information about the image, in a sense that the original image can …
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Many-body localization and tensor networks
… and the development of algorithms using the tensor networks representation for many-body localized systems. Chapter 1 is a detailed discussion on the MBL phenomenon. Chapter 2 gives an introduction to the numerical techniques that are frequently used in studying many-body quantum systems. …
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Vector-Galileon-Tensor theories of gravity
… cosmological evolution in a particular vector-tensor theory of gravity with a potential and a Galileon-motivated interaction terms is presented. The evolution of vector field self interactions that are relatively related to Galileon fields throughout the expansion history of the universe is …
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Tensor Categories, Z+-rings, and Grothendieck Rings
… of abelian categories, monoidal categories and tensor categories. Then, we will show how to define a ring that represents a tensor category, which will be called the Grothendieck Ring, and prove that it constitutes a very specific type of ring called a Z + -ring.
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On tensor autoequivalences of graded fusion categories
… such as groups of (isomorphism classes of) tensor invertible objects, and gradings by finite groups. Indeed, every fusion category has a maximal pointed subcategory (generated by tensor invertible objects) and a universal grading by a finite group. We use such features to study tensor …
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Exponential integrators: tensor structured problems and applications
… this PhD thesis we aim at presenting efficient tensor-based tools to approximate such actions, both from a theoretical and from a practical point of view, when the problem has an underlying Kronecker sum structure. Moreover, we investigate the application of exponential integrators to compute …
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