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Dual Quaternions and Dual Quaternion Vectors
We introduce a total order and an absolute value function for dual numbers. The absolute value function of dual numbers takes dual number values, and has properties similar to those of the absolute value function of real numbers.
L. Qi, C. Ling, Hong Yan
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IEEE Transactions on Neural Networks and Learning Systems, 2023
This article studies synchronization issues for a class of discrete-time fractional-order quaternion-valued uncertain neural networks (DFQUNNs) using nonseparation method.
Hongli Li+4 more
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This article studies synchronization issues for a class of discrete-time fractional-order quaternion-valued uncertain neural networks (DFQUNNs) using nonseparation method.
Hongli Li+4 more
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QCNN-H: Single-Image Dehazing Using Quaternion Neural Networks
IEEE Transactions on Cybernetics, 2023Single-image haze removal is challenging due to its ill-posed nature. The breadth of real-world scenarios makes it difficult to find an optimal dehazing approach that works well for various applications. This article addresses this challenge by utilizing
V. Frants, S. Agaian, K. Panetta
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LQGDNet: A Local Quaternion and Global Deep Network for Facial Depression Recognition
IEEE Transactions on Affective Computing, 2023Recent visual-based depression recognition methods mostly use hand-crafted features with information lost in color channels, or deep network features with a limited performance from the finite data.
Yuanyuan Shang+6 more
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A Universal Quaternion Hypergraph Network for Multimodal Video Question Answering
IEEE transactions on multimedia, 2023Fusion and interaction of multimodal features are essential for video question answering. Structural information composed of the relationships between different objects in videos is very complex, which restricts understanding and reasoning. In this paper,
Zhicheng Guo+4 more
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Maximum Correntropy Quaternion Kalman Filter
IEEE Transactions on Signal Processing, 2023To solve the estimation problem in three-dimensional space, the quaternion Kalman filter (QKF) is developed for quaternion-valued signals using the well-known minimum mean square error (MMSE) criterion under the Gaussian assumption.
Dongyuan Lin+3 more
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Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations
Numerical Functional Analysis and Optimization, 2022The dual quaternion matrix is an important and powerful tool for the study of multi-agent formation control. However, many basic properties of dual quaternion matrices are still not studied, due to the difficulty incurred by the non-commutativity of ...
C. Ling, Hongjin He, Liqun Qi
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IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
This article studies dissipativity analysis of fractional-order quaternion-valued neural networks (FOQVNNs) with time delays. Two specific activation functions are considered along with common bounded and activation functions of Lipschitz-kind.
M. Ali+4 more
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This article studies dissipativity analysis of fractional-order quaternion-valued neural networks (FOQVNNs) with time delays. Two specific activation functions are considered along with common bounded and activation functions of Lipschitz-kind.
M. Ali+4 more
semanticscholar +1 more source