Efficient robust watermarking based on structure-preserving quaternion singular value decomposition
Quaternion singular value decomposition (QSVD) is a robust technique of digital
watermarking that extracts high quality watermarks from watermarked images with low …
watermarking that extracts high quality watermarks from watermarked images with low …
Fixed-precision randomized quaternion singular value decomposition algorithm for low-rank quaternion matrix approximations
The fixed-precision randomized quaternion singular value decomposition algorithm
(FPRQSVD) is presented to compute the low-rank quaternion matrix approximation. The …
(FPRQSVD) is presented to compute the low-rank quaternion matrix approximation. The …
Structure preserving quaternion biconjugate gradient method
T Li, QW Wang - SIAM Journal on Matrix Analysis and Applications, 2024 - SIAM
This paper considers a novel structure-preserving method for solving non-Hermitian
quaternion linear systems arising from color image deblurred problems. From the quaternion …
quaternion linear systems arising from color image deblurred problems. From the quaternion …
Randomized block Krylov subspace algorithms for low-rank quaternion matrix approximations
A randomized quaternion singular value decomposition algorithm based on block Krylov
iteration (RQSVD-BKI) is presented to solve the low-rank quaternion matrix approximation …
iteration (RQSVD-BKI) is presented to solve the low-rank quaternion matrix approximation …
Quasi non-negative quaternion matrix factorization with application to color face recognition
Y Ke, C Ma, Z Jia, Y Xie, R Liao - Journal of Scientific Computing, 2023 - Springer
To address the non-negativity dropout problem of quaternion models, a novel quasi non-
negative quaternion matrix factorization (QNQMF) model is presented for color image …
negative quaternion matrix factorization (QNQMF) model is presented for color image …
Randomized quaternion QLP decomposition for low-rank approximation
H Ren, RR Ma, Q Liu, ZJ Bai - Journal of Scientific Computing, 2022 - Springer
The low-rank approximation of a quaternion matrix has attracted growing attention in many
applications including color image processing and signal processing. In this paper, based …
applications including color image processing and signal processing. In this paper, based …
Distributed Learning for Large-scale Models at Edge with Privacy Protection
Big data and strong computing power have promoted artificial intelligence to the era of big
models. In particular, ChatGPT's debut heralded the vigorous development of large models …
models. In particular, ChatGPT's debut heralded the vigorous development of large models …
A real unconstrained equivalent problem of the quaternion equality constrained weighted least squares problem
F Zhang, Y Li, J Zhao - Numerical Algorithms, 2023 - Springer
In this paper, we focus on the quaternion equality constrained weighted least squares
problem. First, according to the properties of the Moore-Penrose generalized inverse matrix …
problem. First, according to the properties of the Moore-Penrose generalized inverse matrix …
Neural network models for the quaternion singular value decompositions
B Huang, W Li - Applied Mathematical Modelling, 2024 - Elsevier
We develop two neural network models for computing the quaternion singular value
decomposition (QSVD), which can be shown to arise as gradient flows or Riemannian …
decomposition (QSVD), which can be shown to arise as gradient flows or Riemannian …
Quaternion Tensor Left Ring Decomposition and Application for Color Image Inpainting
In recent years, tensor networks have emerged as powerful tools for solving large-scale
optimization problems. One of the most promising tensor networks is the tensor ring (TR) …
optimization problems. One of the most promising tensor networks is the tensor ring (TR) …