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 194 for “"Tensors"”.
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Tensors, sparse problems and conditional hardness
… the study of linear algebra properties of tensors by giving a tensor rank detection gadget for tensors in the smoothed model. Tensors have had a tremendous impact and have been extensively applied over the past few years to a wide range of machine learning problems for example in developing …
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Zero-dimensional schemes: curves, singularities and tensors
L'abstract è presente nell'allegato / the abstract is in the attachment
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Ranks of tensors and polynomials, with combinatorial applications
… to a class of notions of rank for higher-order tensors, containing in particular the tensor rank, the slice rank and the partition rank. We show that for every integer d ⩾ 2 and every notion R in this class of notions of rank, there exist functions F$_{d,R}$ and G$_{d,R}$ such that if an order-d …
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Fill estimation for blocked sparse matrices and tensors
Many sparse matrices and tensors from a variety of applications, such as finite element methods and computational chemistry, have a natural aligned rectangular nonzero block structure. Researchers have designed high-performance blocked sparse operations which can take advantage of this sparse …
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An Iterative Method for Canonical Polyadic Decomposition of Tensors
… of the original matrix. For the case of tensors which are higher dimensional counterparts of matrices, such a decomposition is not as straightforward to define and obtain. In particular, an approximate decomposition that can be improved iteratively would be ideal, allowing one to stop the …
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Tensors and Stochastic Automata Networks with Application to Chemical Kinetics
… simulations to more sophisticated higher-order tensors and stochastic automata networks. Many revolve around solving the chemical master equation that arises in the modeling of the underlying biochemical kinetics. Traditionally, the chemical master equation models states consisting of the …
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Axial symmetry and transverse trace-free tensors in numerical relativity
Transverse trace-free (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial …
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Breitenabhängigkeit des Reynolds-Tensors : numerische Simulationen und Vergleich mit der Sonne
… Sterns in Form des Reynolds - Spannungstensors, insbesondere dessen Abhängigkeit von der stellaren Breite und der Tiefe. Hierzu wurden vereinfachte geometrische und physikalische Modelle der Konvektionszone entwickelt. Die Navier - Stokes - Gleichungen für ein kompressibles Medium wurden …
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Two New Applications of Tensors to Machine Learning for Wireless Communications
… ML algorithms has obviously been a challenge. Tensors provide a useful framework to represent multi-dimensional data in an integrated manner by preserving relationships in data across different dimensions. This thesis studies two new applications of tensors to ML for wireless communications …
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Calculating 3D intramyocardial strain tensors in a single slice of myocardium using MRI
Strain is a measure of cardiac deformation and provides information on the mechanical and functional properties of the heart. As this deformation occurs in three dimensions (3D), a 3D measure of strain is appropriate, however, currently the procedures for measuring 3D intramyocardial strain fields …
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A parallel fill estimation algorithm for sparse matrices and tensors in blocked formats
Many sparse matrices and tensors from a variety of applications, such as finite element methods and computational chemistry, have a natural aligned rectangular nonzero block structure. Researchers have designed high-performance blocked sparse operations which can take advantage of this sparsity …
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Solid-State Magic-Angle Spinning NMR Methods for Tensor Measurements and Protein Structure Refinement Using Chemical Shift Tensors
… techniques, including chemical shift and dipolar tensors. Chemical shifts are the most fundamental parameters measured in NMR spectroscopy and have been leveraged for macromolecular structure determination, refinement and validation including details of active site chemistry in enzymes. Here we …
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Nuclear Magnetic Resonance Studies of Catalysts and Model Catalytic Systems: Biochemical and Inorganic Applications (Minerals, Silicon-29, Oxygen-17, Shielding Tensors, Nmr)
A model for the prediction of silicon-29 nuclear magnetic resonance (NMR) chemical shifts in minerals, zeolite catalysts, ceramics and glasses is proposed based on a group electronegativity approach. Based on a total of 99 sites in 51 different compounds, the mean absolute deviation between theory …
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Tensor rank : some lower and upper bounds
… lower and upper bounds, focusing on explicit tensors. For odd d, we construct field-independent explicit 0/1 tensors T : [n]d --> F with rank at least 2n td/ 2j + n - [theta](d Ig n). This improves the lower-order terms in known lower bounds for any odd d >/- 3. We also explore a …
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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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Format Abstractions for the Compilation of Sparse Tensor Algebra
Tensors are commonly used to represent data in many domains, including data analytics, machine learning, science, and engineering. Many highly-optimized libraries and compilers have been developed for efficiently computing on dense tensors. However, existing libraries and compilers are limited in …
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Statistical Analysis on Diffusion Tensor Estimation
… and tractography are all based on the diffusion tensors. The accuracy of estimating diffusion tensor is essential in DTI. This research focuses on exploring the potential improvements at the tensor estimation of DTI. We analyse the noise arising in the measurement of diffusion signals. We present …
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Electron paramagnetic resonance analysis of dimethyl amidogen in polycrystalline tetramethyl tetrazene.
… dimethyl amidogen. The hyperfine coupling tensors were assigned on the basis of a polycrystalline line shape analysis. The radical exhibits axial symmetry with the parallel components of the tensors greater than the perpendicular components. The limits of error associated with the …
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