Results 21 to 30 of about 308,320 (313)

Spline- and tensor-based signal reconstruction : from structure analysis to high-performance algorithms to multiplatform implementations and medical applications [PDF]

, 2015
The problem of signal reconstruction is of fundamental practical value for many applications associated with the field of signal and image processing.
Morozov, Oleksii
core   +1 more source

Tensor distributions with covariance tensor or correlation tensor

, 2021
9 pages; corrected ...
openaire   +2 more sources

Decomposable Sparse Tensor on Tensor Regression

CoRR, 2022
Most regularized tensor regression research focuses on tensors predictors with scalars responses or vectors predictors to tensors responses. We consider the sparse low rank tensor on tensor regression where predictors $\mathcal{X}$ and responses $\mathcal{Y}$ are both high-dimensional tensors.
Haiyi Mao, Jason Xiaotian Dou
openaire   +3 more sources

Abelian tensors

Journal de Mathématiques Pures et Appliquées, 2017
We analyze tensors in the tensor product of three m-dimensional vector spaces satisfying Strassen's equations for border rank m. Results include: two purely geometric characterizations of the Coppersmith-Winograd tensor, a reduction to the study of symmetric tensors under a mild genericity hypothesis, and numerous additional equations and examples ...
J. M. Landsberg, Mateusz Michalek
openaire   +3 more sources

Tensor Algebras in Finite Tensor Categories [PDF]

International Mathematics Research Notices, 2019
Abstract This paper introduces methods for classifying actions of finite-dimensional Hopf algebras on path algebras of quivers and more generally on tensor algebras $T_B(V)$ where $B$ is semisimple. We work within the broader framework of finite (multi-)tensor categories $\mathcal{C}$, classifying tensor algebras in $\mathcal{C}$ in ...
Etingof, Pavel, Kinser, Ryan, Walton, Chelsea   +2 more
openaire   +3 more sources

Tensor-Tensor Product Toolbox

CoRR, 2018
The tensor-tensor product (t-product) [M. E. Kilmer and C. D. Martin, 2011] is a natural generalization of matrix multiplication. Based on t-product, many operations on matrix can be extended to tensor cases, including tensor SVD, tensor spectral norm, tensor nuclear norm [C. Lu, et al., 2018] and many others.
openaire   +3 more sources

$SDD_1$ tensors and $B_1$-tensors

The Electronic Journal of Linear Algebra
Strong $\mathcal{H}$-tensors play an important role in the fields of science and engineering. In this paper, we first propose a new subclass of strong $\mathcal{H}$-tensors that we call the class of $SDD_1$ tensors. We also prove that if a tensor is an $SDD_1$ tensor, it is a strong $\mathcal{H}$-tensor. As an application, a sufficient condition for an
Weiting Duan, Dekun Wen, Yaqiang Wang
openaire   +1 more source

Skielex/structure-tensor: Parallel function and bug fixes

, 2023
Structure tensor 2D and 3D implementation for ...
Niels Jeppesen, rdengate
core   +1 more source

Implementation of anatomical navigators for real time motion correction in diffusion tensor imaging [PDF]

, 2012
Includes bibliographical references.Prospective motion correction methods using an optical system, diffusion-weighted prospective acquisition correction, or a free induction decay navigator have recently been applied to correct for motion in diffusion ...
Alhamud, Alkathafi Ali
core   +1 more source

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

FEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source