Low-rank high-order tensor completion with applications in visual data

W Qin, H Wang, F Zhang, J Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, tensor Singular Value Decomposition (t-SVD)-based low-rank tensor completion
(LRTC) has achieved unprecedented success in addressing various pattern analysis issues …

Efficient tensor robust PCA under hybrid model of tucker and tensor train

Y Qiu, G Zhou, Z Huang, Q Zhao… - IEEE Signal Processing …, 2022 - ieeexplore.ieee.org
Tensor robust principal component analysis (TRPCA) is a fundamental model in machine
learning and computer vision. Recently, tensor train (TT) decomposition has been verified …

Robust tensor tracking with missing data and outliers: Novel adaptive CP decomposition and convergence analysis

K Abed-Meraim, NL Trung… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Canonical Polyadic (CP) decomposition is a powerful multilinear algebra tool for analyzing
multiway (aka tensor) data and has been used for various signal processing and machine …

Robust tensor decomposition via orientation invariant tubal nuclear norms

A Wang, QB Zhao, Z Jin, C Li, GX Zhou - Science China Technological …, 2022 - Springer
Aiming at recovering an unknown tensor (ie, multi-way array) corrupted by both sparse
outliers and dense noises, robust tensor decomposition (RTD) serves as a powerful pre …

A tucker decomposition based knowledge distillation for intelligent edge applications

C Dai, X Liu, Z Li, MY Chen - Applied Soft Computing, 2021 - Elsevier
Abstract Knowledge distillation (KD) has been proven an effective method in intelligent edge
computing and have achieved extensive study in recent deep learning research. However …

Generalized nonconvex regularization for tensor RPCA and its applications in visual inpainting

F Zhang, H Wang, W Qin, X Zhao, J Wang - Applied Intelligence, 2023 - Springer
As a demonstrated and foremost approach of extracting the key features from corrupted
observations, tensor robust principal component analysis has been considered in various …

Computation of generalized inverses of tensors via t‐product

R Behera, JK Sahoo, RN Mohapatra… - … Linear Algebra with …, 2022 - Wiley Online Library
Generalized inverses of tensors play increasingly important roles in computational
mathematics and numerical analysis. It is appropriate to develop the theory of generalized …

Tensor completion via nonconvex tensor ring rank minimization with guaranteed convergence

M Ding, TZ Huang, XL Zhao, TH Ma - Signal Processing, 2022 - Elsevier
In recent studies, the tensor ring (TR) rank has shown high effectiveness in tensor
completion due to its ability of capturing the intrinsic structure within high-order tensors. A …

Transformed low-rank parameterization can help robust generalization for tensor neural networks

A Wang, C Li, M Bai, Z Jin, G Zhou… - Advances in Neural …, 2024 - proceedings.neurips.cc
Multi-channel learning has gained significant attention in recent applications, where neural
networks with t-product layers (t-NNs) have shown promising performance through novel …

Towards Multi-Mode Outlier Robust Tensor Ring Decomposition

Y Qiu, G Zhou, A Wang, Z Huang, Q Zhao - Proceedings of the AAAI …, 2024 - ojs.aaai.org
Conventional Outlier Robust Tensor Decomposition (ORTD) approaches generally
represent sparse outlier corruption within a specific mode. However, such an assumption …