Noisy tensor completion via low-rank tensor ring

Y Qiu, G Zhou, Q Zhao, S Xie - IEEE Transactions on Neural …, 2022 - ieeexplore.ieee.org
Tensor completion is a fundamental tool for incomplete data analysis, where the goal is to
predict missing entries from partial observations. However, existing methods often make the …

Randomized sampling techniques based low-tubal-rank plus sparse tensor recovery

F Zhang, L Yang, J Wang, X Luo - Knowledge-Based Systems, 2023 - Elsevier
Recently, tensor robust principal component analysis (TRPCA) based on the tensor singular
value decomposition (t-SVD) framework has gained considerable attention owing to its …

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 …

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 …

Recovery of corrupted data in wireless sensor networks using tensor robust principal component analysis

X Zhang, J He, Y Li, Y Chi… - IEEE Communications …, 2021 - ieeexplore.ieee.org
Due to the hardware and network conditions, data collected in Wireless Sensor Networks
usually suffer from loss and corruption. Most existing research works mainly consider the …

Guaranteed Robust Tensor Completion via ∗L-SVD with Applications to Remote Sensing Data

A Wang, G Zhou, Q Zhao - Remote Sensing, 2021 - mdpi.com
This paper conducts a rigorous analysis for the problem of robust tensor completion, which
aims at recovering an unknown three-way tensor from incomplete observations corrupted by …

A hybrid norm for guaranteed tensor recovery

Y Luo, A Wang, G Zhou, Q Zhao - Frontiers in Physics, 2022 - frontiersin.org
Benefiting from the superiority of tensor Singular Value Decomposition (t-SVD) in excavating
low-rankness in the spectral domain over other tensor decompositions (like Tucker …

Tensor low-rank representation combined with consistency and diversity exploration

Y Kan, GF Lu, G Ji, Y Du - International Journal of Machine Learning and …, 2024 - Springer
In recent years, many tensor data processing methods have been proposed. Tensor low-
rank representation (TLRR) is a recently proposed tensor-based clustering method that has …

Robust high-order tensor recovery via nonconvex low-rank approximation

W Qin, H Wang, W Ma, J Wang - ICASSP 2022-2022 IEEE …, 2022 - ieeexplore.ieee.org
The latest tensor recovery methods based on tensor Singular Value Decomposition (t-SVD)
mainly utilize the tensor nuclear norm (TNN) as a convex surrogate of the rank function …

Online Tensor Max-Norm Regularization via Stochastic Optimization

T Wu - Transactions on Machine Learning Research - openreview.net
The advent of ubiquitous multidimensional arrays poses unique challenges for low-rank
modeling of tensor data due to higher-order relationships, gross noise, and large …