Quaternion singular value decomposition (QSVD) is a robust technique of digital
watermarking that extracts high quality watermarks from watermarked images with low …

The fixed-precision randomized quaternion singular value decomposition algorithm
(FPRQSVD) is presented to compute the low-rank quaternion matrix approximation. The …

This paper considers a novel structure-preserving method for solving non-Hermitian
quaternion linear systems arising from color image deblurred problems. From the quaternion …

A randomized quaternion singular value decomposition algorithm based on block Krylov
iteration (RQSVD-BKI) is presented to solve the low-rank quaternion matrix approximation …

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 …

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 …

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 …

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 …

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 …

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) …