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 …

MR-NTD: Manifold regularization nonnegative tucker decomposition for tensor data dimension reduction and representation

X Li, MK Ng, G Cong, Y Ye, Q Wu - IEEE transactions on neural …, 2016 - ieeexplore.ieee.org
With the advancement of data acquisition techniques, tensor (multidimensional data) objects
are increasingly accumulated and generated, for example, multichannel …

Graph-regularized non-negative tensor-ring decomposition for multiway representation learning

Y Yu, G Zhou, N Zheng, Y Qiu, S Xie… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Tensor-ring (TR) decomposition is a powerful tool for exploiting the low-rank property of
multiway data and has been demonstrated great potential in a variety of important …

Efficient nonnegative tucker decompositions: Algorithms and uniqueness

G Zhou, A Cichocki, Q Zhao… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Nonnegative Tucker decomposition (NTD) is a powerful tool for the extraction of
nonnegative parts-based and physically meaningful latent components from high …

Image representation using Laplacian regularized nonnegative tensor factorization

C Wang, X He, J Bu, Z Chen, C Chen, Z Guan - Pattern Recognition, 2011 - Elsevier
Tensor provides a better representation for image space by avoiding information loss in
vectorization. Nonnegative tensor factorization (NTF), whose objective is to express an n …

Tensor ring decomposition-based model with interpretable gradient factors regularization for tensor completion

PL Wu, XL Zhao, M Ding, YB Zheng, LB Cui… - Knowledge-Based …, 2023 - Elsevier
Tensor ring (TR) decomposition, which factorizes a tensor into a sequence of cyclically
interconnected third-order TR factors, is a powerful tool to capture the global low-rankness of …

Tensor ring decomposition with rank minimization on latent space: An efficient approach for tensor completion

L Yuan, C Li, D Mandic, J Cao, Q Zhao - Proceedings of the AAAI …, 2019 - ojs.aaai.org
In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from
the laborious model selection problem due to their high model sensitivity. In particular, for …

Fast and accurate randomized algorithms for low-rank tensor decompositions

L Ma, E Solomonik - Advances in neural information …, 2021 - proceedings.neurips.cc
Low-rank Tucker and CP tensor decompositions are powerful tools in data analytics. The
widely used alternating least squares (ALS) method, which solves a sequence of over …

Enhanced tensor low-rank representation for clustering and denoising

S Du, B Liu, G Shan, Y Shi, W Wang - Knowledge-Based Systems, 2022 - Elsevier
Low-rank representation (LRR) can recover clean data from noisy data while effectively
characterizing the subspace structures between data, therefore, it becomes one of the state …

Feature extraction for incomplete data via low-rank tensor decomposition with feature regularization

Q Shi, YM Cheung, Q Zhao, H Lu - IEEE transactions on neural …, 2018 - ieeexplore.ieee.org
Multidimensional data (ie, tensors) with missing entries are common in practice. Extracting
features from incomplete tensors is an important yet challenging problem in many fields …