Tensor factorization for low-rank tensor completion

P Zhou, C Lu, Z Lin, C Zhang - IEEE Transactions on Image …, 2017 - ieeexplore.ieee.org
Recently, a tensor nuclear norm (TNN) based method was proposed to solve the tensor
completion problem, which has achieved state-of-the-art performance on image and video …

Tensor completion algorithms in big data analytics

Q Song, H Ge, J Caverlee, X Hu - ACM Transactions on Knowledge …, 2019 - dl.acm.org
Tensor completion is a problem of filling the missing or unobserved entries of partially
observed tensors. Due to the multidimensional character of tensors in describing complex …

Low-rank tensor completion by Riemannian optimization

D Kressner, M Steinlechner… - BIT Numerical Mathematics, 2014 - Springer
In tensor completion, the goal is to fill in missing entries of a partially known tensor under a
low-rank constraint. We propose a new algorithm that performs Riemannian optimization …

Tensor completion using total variation and low-rank matrix factorization

TY Ji, TZ Huang, XL Zhao, TH Ma, G Liu - Information Sciences, 2016 - Elsevier
In this paper, we study the problem of recovering a tensor with missing data. We propose a
new model combining the total variation regularization and low-rank matrix factorization. A …

Trace norm regularized CANDECOMP/PARAFAC decomposition with missing data

Y Liu, F Shang, L Jiao, J Cheng… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
In recent years, low-rank tensor completion (LRTC) problems have received a significant
amount of attention in computer vision, data mining, and signal processing. The existing …

Riemannian optimization for high-dimensional tensor completion

M Steinlechner - SIAM Journal on Scientific Computing, 2016 - SIAM
Tensor completion aims to reconstruct a high-dimensional data set where the vast majority
of entries is missing. The assumption of low-rank structure in the underlying original data …

Variants of alternating least squares tensor completion in the tensor train format

L Grasedyck, M Kluge, S Kramer - SIAM Journal on Scientific Computing, 2015 - SIAM
We consider the problem of fitting a low rank tensor A∈R^\mathcalI, \mathcalI={1,...,n\}^d, to
a given set of data points {M_i∈R∣i∈P\}, P⊂\mathcalI. The low rank format under …

Robust tensor completion via capped Frobenius norm

XP Li, ZY Wang, ZL Shi, HC So… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Tensor completion (TC) refers to restoring the missing entries in a given tensor by making
use of the low-rank structure. Most existing algorithms have excellent performance in …

Generalized higher order orthogonal iteration for tensor learning and decomposition

Y Liu, F Shang, W Fan, J Cheng… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Low-rank tensor completion (LRTC) has successfully been applied to a wide range of real-
world problems. Despite the broad, successful applications, existing LRTC methods may …

Noisy low-tubal-rank tensor completion

A Wang, Z Lai, Z Jin - Neurocomputing, 2019 - Elsevier
In many applications of multi-dimensional signal processing, noisy tensor completion arises
often where the acquired data suffers from miss values and noise. Recently, models based …