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Inflation with an antisymmetric tensor field
Published 2018-10-01“…Abstract We investigate the possibility of inflation with models of antisymmetric tensor field having minimal and nonminimal couplings to gravity. …”
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Spectral Tensor-Train Decomposition
Published 2017“…We propose a new function approximation scheme based on a spectral extension of the tensor-train (TT) decomposition. We first define a functional version of the TT decomposition and analyze its properties. …”
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Optimal recovery of tensor slices
Published 2021“…Viewing the matrix we seek to recover and the side information we have as slices of a tensor, we consider the problem of Slice Recovery, which is to recover specific slices of a tensor from noisy observations of the tensor. …”
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127
Themes in numerical tensor calculus
Published 2022“…This thesis studies several distinct, but related, aspects of numerical tensor calculus. First, we introduce a simple, black-box compression format for tensors with a multiscale structure. …”
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Array processing using tensors
Published 2013“…In array processing, multiple signal classification (MUSIC) algorithm is usually used to estimate the direction of arrival (DOA).Instead of this, the DOA estimation also can be performed by other method that uses the tensor theory to replace the conventional method. …”
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131
Integrability and braided tensor categories
Published 2021“…I find them naturally and much more generally using a braided tensor category, a topological structure arising in knot invariants, anyons and conformal field theory. …”
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In-database learning with sparse tensors
Published 2018“…We show that, by synergizing key tools from relational database theory such as schema information, query structure, recent advances in query evaluation algorithms, and from linear algebra such as various tensor and matrix operations, one can formulate in-database learning problems and design efficient algorithms to solve them. …”
Conference item -
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Tensors of three affine views
Published 1999“…In this paper we specialize the projective unifocal, bifocal, and trifocal tensors to the affine case, and show how the tensors obtained relate to the registered tensors encountered in previous work. …”
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The Eliassen-Palm flux tensor
Published 2013“…The aim of this paper it to derive general coordinate-invariant forms of the Eliassen-Palm flux tensor and thereby characterize the true geometric nature of the eddy-mean-flow interaction in hydrostatic Boussinesq rotating fluids. …”
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Categorical Tensor Network States
Published 2010“…This general framework of categorical tensor network<br/> states, where a combination of generic and algebraically defined tensors<br/> appear, enhances the theory of tensor network states.…”
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Categorical Tensor Network States
Published 2010“…This general framework of categorical tensor network states, where a combination of generic and algebraically defined tensors appear, enhances the theory of tensor network states.…”
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The tensor network theory library
Published 2018“…In this technical paper we introduce the tensor network theory (TNT) library - an open-source software project aimed at providing a platform for rapidly developing robust, easy to use and highly optimised code for TNT calculations. …”
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A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation
Published 2022-03-01Subjects: “…<i>ℋ</i><sup>+</sup>-tensor…”
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139
On Possible Minimal Length Deformation of Metric Tensor, Levi-Civita Connection, and the Riemann Curvature Tensor
Published 2023-10-01“…This quantum-induced deformation is conjectured to require the generalization of Riemannian spacetime geometry underlying the classical theory of general relativity to an eight-dimensional spacetime fiber bundle, which dictates the deformation of the line element, metric tensor, Levi-Civita connection, Riemann curvature tensor, etc. …”
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Rank revealing‐based tensor completion using improved generalized tensor multi‐rank minimization
Published 2021-10-01“…Abstract The authors address the problem of tensor completion from limited samplings. An improved generalized tubal Kronecker decomposition is first proposed to reveal the tensor structure of the targeted data, and the improved generalized tensor tubal‐rank and multi‐rank are also introduced. …”
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