NeuLFT: A novel approach to nonlinear canonical polyadic decomposition on high-dimensional incomplete tensors

X Luo, H Wu, Z Li - IEEE Transactions on Knowledge and Data …, 2022 - ieeexplore.ieee.org
AH igh-D imensional and I ncomplete (HDI) tensor is frequently encountered in a big data-
related application concerning the complex dynamic interactions among numerous entities …

The rise of nonnegative matrix factorization: algorithms and applications

YT Guo, QQ Li, CS Liang - Information Systems, 2024 - Elsevier
Although nonnegative matrix factorization (NMF) is widely used, some matrix factorization
methods result in misleading results and waste of computing resources due to lack of timely …

Gradient-based differential neural-solution to time-dependent nonlinear optimization

L **, L Wei, S Li - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
In this technical article, to seek the optimal solution to time-dependent nonlinear optimization
subject to linear inequality and equality constraints (TDNO-IEC), the gradient-based …

Framelet representation of tensor nuclear norm for third-order tensor completion

TX Jiang, MK Ng, XL Zhao… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The main aim of this paper is to develop a framelet representation of the tensor nuclear norm
for third-order tensor recovery. In the literature, the tensor nuclear norm can be computed by …

Hyperspectral images super-resolution via learning high-order coupled tensor ring representation

Y Xu, Z Wu, J Chanussot, Z Wei - IEEE transactions on neural …, 2020 - ieeexplore.ieee.org
Hyperspectral image (HSI) super-resolution is a hot topic in remote sensing and computer
vision. Recently, tensor analysis has been proven to be an efficient technology for HSI …

A generalized graph regularized non-negative tucker decomposition framework for tensor data representation

Y Qiu, G Zhou, Y Wang, Y Zhang… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Non-negative Tucker decomposition (NTD) is one of the most popular techniques for tensor
data representation. To enhance the representation ability of NTD by multiple intrinsic cues …

Tensor N-tubal rank and its convex relaxation for low-rank tensor recovery

YB Zheng, TZ Huang, XL Zhao, TX Jiang, TY Ji… - Information Sciences, 2020 - Elsevier
The recent popular tensor tubal rank, defined based on tensor singular value decomposition
(t-SVD), yields promising results. However, its framework is applicable only to three-way …

Multi-channel EEG epileptic spike detection by a new method of tensor decomposition

NTA Dao, NV Dung, NL Trung… - Journal of Neural …, 2020 - iopscience.iop.org
Objective. Epilepsy is one of the most common brain disorders. For epilepsy diagnosis or
treatment, the neurologist needs to observe epileptic spikes from electroencephalography …

A nonconvex relaxation approach to low-rank tensor completion

X Zhang - IEEE transactions on neural networks and learning …, 2018 - ieeexplore.ieee.org
Low-rank tensor completion plays an important role in many applications such as image
processing, computer vision, and machine learning. A widely used convex relaxation of this …

Low tensor-ring rank completion by parallel matrix factorization

J Yu, G Zhou, C Li, Q Zhao, S **e - IEEE transactions on neural …, 2020 - ieeexplore.ieee.org
Tensor-ring (TR) decomposition has recently attracted considerable attention in solving the
low-rank tensor completion (LRTC) problem. However, due to an unbalanced unfolding …