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Tensor -- from Wolfram MathWorld
Anth-ranktensor in-dimensional space is a mathematical
object that hasindices andcomponents and obeys certain transformation rules. Each index of a tensor ranges
over the number of dimensions ofspac...
WTF is a Tensor?!? - KDnuggets
A tensor is a container which can house data in N dimensions, along with its linear operations, though there is nuance in what tensors technically are and what we refer to as tensors in practice. When...
A New Tensor Network: Tubal Tensor Train and Its Applications
Content selection saved. Describe the issue below: We introduce the tubal tensor train (TTT) decomposition, a tensor-network model that combines the t-product algebra of the tensor singular value deco...
Tensor Completion with BMD Factor Nuclear Norm Minimization This ...
HTML conversionssometimes display errorsdue to content that did not convert correctly from the source. This paper uses the following packages that are not yet supported by the HTML conversion tool. Fe...
On quantum functionals for higher-order tensors
Content selection saved. Describe the issue below: Upper and lower quantum functionals, introduced by Christandl, Vrana and Zuiddam (STOC 2018, J. Amer. Math. Soc. 2023), are families of monotone func...
Randomized Tensor Krylov Subspace Methods via Sketched Einstein P...
Content selection saved. Describe the issue below: We develop a randomized extension of tensor Krylov subspace
methods based on the Einstein product for solving large-scale
multilinear systems arising...
Growth rates of indecomposable summands in tensor powers of repre...
Content selection saved. Describe the issue below: Tensor products of quiver representations have been extensively studied; typical examples include the pointwise tensor product and the tensor product...
Reconstruction of anisotropic stiffness tensors from partial data...
We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimensionnšnitalic_nwith an anisotropic stiffnes...
Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank ...
Content selection saved. Describe the issue below: Tensor completion has emerged as a powerful framework for recovering missing data in multidimensional signals by exploiting low-rank tensor structure...
Real tensor factorizations and generalized inverses under the š”-p...
Content selection saved. Describe the issue below: The algebraic theory of third-order tensors under thett-product is naturally formulated over the complex field via Fourier block diagonalization. How...
An Efficient Memory Gradient Method for Extreme M-Eigenvalues of ...
M-eigenvalues of fourth order hierarchically symmetric tensors play a significant role in nonlinear elastic material analysis and quantum entanglement problems. This paper focuses on computing extreme...
What is PyTorch, and How Does It Work? | Simplilearn
Since its inception by the Facebook AI Research (FAIR) team in 2017, PyTorch has become a highly popular and efficient framework to createDeep Learning (DL)model. This open-sourcemachine learning libr...
Tucker Diffusion Model for High-dimensional Tensor GenerationAll ...
Content selection saved. Describe the issue below: Statistical inference on large-dimensional tensor data has been extensively studied in the literature and widely used in economics, biology, machine ...
Poisson-response Tensor-on-Tensor Regression and Applications
Content selection saved. Describe the issue below: We introduce Poisson-response tensor-on-tensor regression (PToTR), a novel regression framework designed to handle tensor responses composed element-...
Minkowski tensors for point clouds and voxelized data: robust, as...
Content selection saved. Describe the issue below: Minkowski tensors, also known as tensor valuations, provide robustnn-point information for a wide range of random spatial structures.
Local estimator...
Riemann Tensor -- from Wolfram MathWorld
The Riemann tensor (Schutz 1985), also known the Riemann-Christoffel
curvature tensor (Weinberg 1972, p.Ā 133; Arfken 1985, p.Ā 123) or Riemann
curvature tensor (Misneret al.1973, p.Ā 218), is a four-i...
Markov Switching Multiple-equation Tensor Regressions
We propose a new flexible tensor model for multiple-equation regression that accounts for latent regime changes. The model allows for dynamic coefficients and multi-dimensional covariates that vary ac...
From Tensor Networks to Tractable Circuits, and back
Content selection saved. Describe the issue below: Tensor networks and circuits are widely used data structures to represent pseudo-Boolean functions. These two formalisms have been studied primarily ...
Tensor Spectral Threshold is āā-Hard
Content selection saved. Describe the issue below: We study the decision version of tensor spectral norm from the viewpoint of real algebraic complexity. For a rationally specified tensor, the tensor ...
Entropic lattice Boltzmann method for general anisotropic advecti...
Content selection saved. Describe the issue below: [1] [cor1]Corresponding author Many transport processes exhibit direction-dependent diffusion, and their macroscopic description commonly leads to th...