Results 311 to 320 of about 77,287 (351)

Dual Quaternions and Dual Quaternion Vectors

open access: yesCommunications on Applied Mathematics and Computation, 2021
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
semanticscholar   +3 more sources

Synchronization Analysis of Discrete-Time Fractional-Order Quaternion-Valued Uncertain Neural Networks

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
semanticscholar   +1 more source

QCNN-H: Single-Image Dehazing Using Quaternion Neural Networks

IEEE Transactions on Cybernetics, 2023
Single-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
semanticscholar   +1 more source

LQGDNet: A Local Quaternion and Global Deep Network for Facial Depression Recognition

IEEE Transactions on Affective Computing, 2023
Recent 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
semanticscholar   +1 more source

A Universal Quaternion Hypergraph Network for Multimodal Video Question Answering

IEEE transactions on multimedia, 2023
Fusion 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
semanticscholar   +1 more source

Maximum Correntropy Quaternion Kalman Filter

IEEE Transactions on Signal Processing, 2023
To 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
semanticscholar   +1 more source

Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations

Numerical Functional Analysis and Optimization, 2022
The 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
semanticscholar   +1 more source

Global Dissipativity Analysis and Stability Analysis for Fractional-Order Quaternion-Valued Neural Networks With Time Delays

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
semanticscholar   +1 more source

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