Rethinking Bayesian learning for data analysis: The art of prior and inference in sparsity-aware modeling

L Cheng, F Yin, S Theodoridis… - IEEE Signal …, 2022 - ieeexplore.ieee.org
Sparse modeling for signal processing and machine learning, in general, has been at the
focus of scientific research for over two decades. Among others, supervised sparsity-aware …

Low-rank high-order tensor completion with applications in visual data

W Qin, H Wang, F Zhang, J Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, tensor Singular Value Decomposition (t-SVD)-based low-rank tensor completion
(LRTC) has achieved unprecedented success in addressing various pattern analysis issues …

When Laplacian scale mixture meets three-layer transform: A parametric tensor sparsity for tensor completion

J Xue, Y Zhao, Y Bu, JCW Chan… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, tensor sparsity modeling has achieved great success in the tensor completion
(TC) problem. In real applications, the sparsity of a tensor can be rationally measured by low …

Block Hankel tensor ARIMA for multiple short time series forecasting

Q Shi, J Yin, J Cai, A Cichocki, T Yokota… - Proceedings of the …, 2020 - ojs.aaai.org
This work proposes a novel approach for multiple time series forecasting. At first, multi-way
delay embedding transform (MDT) is employed to represent time series as low-rank block …

Tensor-based joint channel estimation and symbol detection for time-varying mmWave massive MIMO systems

J Du, M Han, Y Chen, L Jin… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this paper, a tensor-based joint channel parameter estimation and information symbol
detection scheme is developed for millimeter wave (mmWave) massive multiple-input …

Tensor convolution-like low-rank dictionary for high-dimensional image representation

J Xue, Y Zhao, T Wu, JCW Chan - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
High-dimensional image representation is a challenging task since data has the intrinsic low-
dimensional and shift-invariant characteristics. Currently, popular methods, such as tensor …

Bayesian nonlocal patch tensor factorization for hyperspectral image super-resolution

F Ye, Z Wu, X Jia, J Chanussot, Y Xu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The synthesis of high-resolution (HR) hyperspectral image (HSI) by fusing a low-resolution
HSI with a corresponding HR multispectral image has emerged as a prevalent HSI super …

Low-rank tensor function representation for multi-dimensional data recovery

Y Luo, X Zhao, Z Li, MK Ng… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Since higher-order tensors are naturally suitable for representing multi-dimensional data in
real-world, eg, color images and videos, low-rank tensor representation has become one of …

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 …

Towards flexible sparsity-aware modeling: Automatic tensor rank learning using the generalized hyperbolic prior

L Cheng, Z Chen, Q Shi, YC Wu… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Tensor rank learning for canonical polyadic decomposition (CPD) has long been deemed as
an essential yet challenging problem. In particular, since thetensor rank controls the …