Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Cui, Chunfeng"'
Alternating structure-adapted proximal (ASAP) gradient algorithm (M. Nikolova and P. Tan, SIAM J Optim, 29:2053-2078, 2019) has drawn much attention due to its efficiency in solving nonconvex nonsmooth optimization problems. However, the multiblock n
Externí odkaz:
http://arxiv.org/abs/2406.17226
In this paper, we extend the Chen and Moore determinants of quaternion Hermitian} matrices to dual quaternion Hermitian matrices. We show the Chen determinant of dual quaternion Hermitian {matrices is invariant under addition, switching, multiplicati
Externí odkaz:
http://arxiv.org/abs/2405.03160
Pose graph optimization (PGO) is a well-known technique for solving the pose-based simultaneous localization and mapping (SLAM) problem. In this paper, we represent the rotation and translation by a unit quaternion and a three-dimensional vector, and
Externí odkaz:
http://arxiv.org/abs/2404.18560
Autor:
Wang, Sen, Wang, Tianxiong, Zhao, Shulun, Feng, Zhen, Liu, Guangyi, Cui, Chunfeng, I, Chih-Lin, Wang, Jiangzhou
This article introduces an energy and spectral efficient multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) transmission scheme designed for the future sixth generation (6G) wireless communication networks. The appr
Externí odkaz:
http://arxiv.org/abs/2404.06054
Autor:
Qi, Liqun, Cui, Chunfeng
We propose a supplement matrix method for computing eigenvalues of a dual Hermitian matrix, and discuss its application in multi-agent formation control. Suppose we have a ring, which can be the real field, the complex field, or the quaternion ring.
Externí odkaz:
http://arxiv.org/abs/2403.10308
The majority of classic tensor CP decomposition models are designed for squared loss, employing Euclidean distance as a local proximal term. However, the Euclidean distance is unsuitable for the generalized loss function applicable to various types o
Externí odkaz:
http://arxiv.org/abs/2402.15771
In this paper, we study dual quaternion and dual complex unit gain graphs and their spectral properties in a unified frame of dual unit gain graphs. Unit dual quaternions represent rigid movements in the 3D space, and have wide applications in roboti
Externí odkaz:
http://arxiv.org/abs/2402.12988
Recently, there has been a growing interest in the exploration of Nonlinear Matrix Decomposition (NMD) due to its close ties with neural networks. NMD aims to find a low-rank matrix from a sparse nonnegative matrix with a per-element nonlinear functi
Externí odkaz:
http://arxiv.org/abs/2402.02442
We first study the multi-agent formation control problem in a directed graph. The relative configurations are expressed by unit dual quaternions (UDQs). We call such a weighted directed graph a unit dual quaternion weighted directed graph (UDQWDG). W
Externí odkaz:
http://arxiv.org/abs/2401.05132
In this paper, we explore a specific optimization problem that involves the combination of a differentiable nonconvex function and a nondifferentiable function. The differentiable component lacks a global Lipschitz continuous gradient, posing challen
Externí odkaz:
http://arxiv.org/abs/2401.02040