Low rank tensor completion with Poisson observations

X Zhang, MK Ng - IEEE Transactions on Pattern Analysis and …, 2021 - ieeexplore.ieee.org
Poisson observations for videos are important models in video processing and computer
vision. In this paper, we study the third-order tensor completion problem with Poisson …

Tensor factorization using auxiliary information

A Narita, K Hayashi, R Tomioka, H Kashima - Data Mining and Knowledge …, 2012 - Springer
Most of the existing analysis methods for tensors (or multi-way arrays) only assume that
tensors to be completed are of low rank. However, for example, when they are applied to …

Matrix factorization for low-rank tensor completion using framelet prior

TX Jiang, TZ Huang, XL Zhao, TY Ji, LJ Deng - Information Sciences, 2018 - Elsevier
In this paper, we propose a novel tensor completion model using framelet regularization and
low-rank matrix factorization. An effective block successive upper-bound minimization …

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 …

Low-rank tensor completion based on self-adaptive learnable transforms

T Wu, B Gao, J Fan, J Xue… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The tensor nuclear norm (TNN), defined as the sum of nuclear norms of frontal slices of the
tensor in a frequency domain, has been found useful in solving low-rank tensor recovery …

High-order tensor completion via gradient-based optimization under tensor train format

L Yuan, Q Zhao, L Gui, J Cao - Signal Processing: Image Communication, 2019 - Elsevier
Tensor train (TT) decomposition has drawn people's attention due to its powerful
representation ability and performance stability in high-order tensors. In this paper, we …

Higher-dimension tensor completion via low-rank tensor ring decomposition

L Yuan, J Cao, X Zhao, Q Wu… - 2018 Asia-Pacific Signal …, 2018 - ieeexplore.ieee.org
The problem of incomplete data is common in signal processing and machine learning.
Tensor completion algorithms aim to recover the incomplete data from its partially observed …

Imbalanced low-rank tensor completion via latent matrix factorization

Y Qiu, G Zhou, J Zeng, Q Zhao, S Xie - Neural Networks, 2022 - Elsevier
Tensor completion has been widely used in computer vision and machine learning. Most
existing tensor completion methods empirically assume the intrinsic tensor is simultaneous …

Robust Low-Rank Tensor Completion Based on Tensor Ring Rank via -Norm

XP Li, HC So - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
Tensor completion aims to recover missing entries given incomplete multi-dimensional data
by making use of the prior low-rank information, and has various applications because many …

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 …