Results 21 to 30 of about 20,851 (269)

Tensor local linear embedding with global subspace projection optimisation

open access: yesIET Computer Vision, 2022
In this paper, a novel tensor dimensionality reduction (TDR) approach is proposed, which maintains the local geometric structure of tensor data by tensor local linear embedding and explores the global feature by optimising global subspace projection ...
Guo Niu, Zhengming Ma
doaj   +1 more source

Dictionary-Based Low-Rank Approximations and the Mixed Sparse Coding Problem

open access: yesFrontiers in Applied Mathematics and Statistics, 2022
Constrained tensor and matrix factorization models allow to extract interpretable patterns from multiway data. Therefore crafting efficient algorithms for constrained low-rank approximations is nowadays an important research topic.
Jeremy E. Cohen
doaj   +1 more source

Tensor Completion in Hierarchical Tensor Representations [PDF]

open access: yes, 2015
Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete information. Here we consider a further extension to the reconstruction of tensors of low multi-linear rank in recently introduced hierarchical tensor formats from a small number ...
Holger Rauhut   +2 more
openaire   +3 more sources

Bounds for the M-spectral radius of a fourth-order partially symmetric tensor

open access: yesJournal of Inequalities and Applications, 2018
M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis.
Suhua Li, Yaotang Li
doaj   +1 more source

Quadratic Multilinear Discriminant Analysis for Tensorial Data Classification

open access: yesAlgorithms, 2023
Over the past decades, there has been an increase of attention to adapting machine learning methods to fully exploit the higher order structure of tensorial data.
Cristian Minoccheri   +4 more
doaj   +1 more source

A Tensor Framework for Multi-Linear Complex MMSE Estimation

open access: yesIEEE Open Journal of Signal Processing, 2021
Tensors are higher order generalization of vectors and matrices which can be used to describe signals indexed by more than two indices. This paper introduces a tensor framework for minimum mean square error (MMSE) estimation for multi-domain signals and ...
Divyanshu Pandey, Harry Leib
doaj   +1 more source

TTN‐FCN: A Tangut character classification framework by tree tensor network and fully connected neural network

open access: yesIET Image Processing, 2023
The classification of Tangut characters plays a significant role in Western Xia research, and yet it is still a great challenge to recognize Tangut characters accurately due to the less inter‐class similarity and smaller intra‐class variation of Tangut ...
Ziping Ma, Jinlin Ma
doaj   +1 more source

Search‐free direction‐of‐arrival estimation for transmit beamspace multiple‐input multiple‐output radar via tensor modelling and polynomial rooting

open access: yesIET Radar, Sonar & Navigation, 2021
In order to improve the accuracy and resolution for transmit beamspace (TB) multiple‐input multiple‐output (MIMO) radar, a search‐free direction‐of‐arrival (DOA) estimation method based on tensor modelling and polynomial rooting is proposed.
Feng Xu, Xiaopeng Yang, Tian Lan
doaj   +1 more source

Abelian tensors

open access: yesJournal 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   +2 more sources

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