HRST-LR: a hessian regularization spatio-temporal low rank algorithm for traffic data imputation

X Xu, M Lin, X Luo, Z Xu - IEEE Transactions on Intelligent …, 2023 - ieeexplore.ieee.org
Intelligent Transportation Systems (ITSs) are vital for alleviating traffic congestion and
improving traffic efficiency. Due to the delay of network transmission and failure of detectors …

Learning the distribution-based temporal knowledge with low rank response reasoning for uav visual tracking

G Xu, H Wang, M Zhao, M Pedersen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In recent years, the constraint based correlation filter has shown good performance in
unmanned aerial vehicle (UAV) tracking, which gains a lot popularity in many intelligence …

Smooth robust tensor completion for background/foreground separation with missing pixels: novel algorithm with convergence guarantee

B Shen, W Xie, ZJ Kong - Journal of Machine Learning Research, 2022 - jmlr.org
Robust PCA (RPCA) and its tensor extension, namely, Robust Tensor PCA (RTPCA),
provide an effective framework for background/foreground separation by decomposing the …

Fixed-precision randomized quaternion singular value decomposition algorithm for low-rank quaternion matrix approximations

Y Liu, F Wu, M Che, C Li - Neurocomputing, 2024 - Elsevier
The fixed-precision randomized quaternion singular value decomposition algorithm
(FPRQSVD) is presented to compute the low-rank quaternion matrix approximation. The …

Grassmannian optimization for online tensor completion and tracking with the t-SVD

K Gilman, DA Tarzanagh… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
We propose a new fast streaming algorithm for the tensor completion problem of imputing
missing entries of a low-tubal-rank tensor using the tensor singular value decomposition (t …

Riemannian stochastic proximal gradient methods for nonsmooth optimization over the Stiefel manifold

B Wang, S Ma, L Xue - Journal of machine learning research, 2022 - jmlr.org
Riemannian optimization has drawn a lot of attention due to its wide applications in practice.
Riemannian stochastic first-order algorithms have been studied in the literature to solve …

Smooth low-rank representation with a Grassmann manifold for tensor completion

L Su, J Liu, J Zhang, X Tian, H Zhang, C Ma - Knowledge-Based Systems, 2023 - Elsevier
Utilizing low-rank representation, recent methods have efficiently estimated the low-rank
tensor for tensor completion (TC). However, owing to the identifiability issue, these methods …

Nonsmooth Optimization over the Stiefel Manifold and Beyond: Proximal Gradient Method and Recent Variants

S Chen, S Ma, A Man-Cho So, T Zhang - SIAM Review, 2024 - SIAM
We consider optimization problems over the Stiefel manifold whose objective function is the
summation of a smooth function and a nonsmooth function. Existing methods for solving this …

A Bregman stochastic method for nonconvex nonsmooth problem beyond global Lipschitz gradient continuity

Q Wang, D Han - Optimization Methods and Software, 2023 - Taylor & Francis
In this paper, we consider solving a broad class of large-scale nonconvex and nonsmooth
minimization problems by a Bregman proximal stochastic gradient (BPSG) algorithm. The …

A Low-Rank Tensor Train Approach for Electric Vehicle Load Data Reconstruction Using Real Industrial Data

B Sun, Y Xu, W Gu, H Cai, S Lu, L Mili… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
As electric vehicles (EVs) gain popularity, their interaction with the power system cannot be
overlooked. Therefore, there is a growing need for accurate EV load data to facilitate precise …