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Principal Component Analysis Based Quaternion-Valued Medians for Non-Invasive Blood Glucose Estimation [PDF]
SensorsFor four-channel photoplethysmograms (PPGs), this paper employs quaternion-valued medians as features for performing non-invasive blood glucose estimation.
Jingheng Feng, Bingo Wing-Kuen Ling
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A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix [PDF]
Journal of Scientific Computing, 2023 In this paper, we first study the projections onto the set of unit dual quaternions, and the set of dual quaternion vectors with unit norms. Then we propose a power method for computing the dominant eigenvalue of a dual quaternion Hermitian matrix. For a
Chunfeng Cui, L. Qi
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Quaternion-Valued Correlation Learning for Few-Shot Semantic Segmentation [PDF]
IEEE transactions on circuits and systems for video technology (Print), 2023 Few-shot segmentation (FSS) aims to segment unseen classes given only a few annotated samples. Encouraging progress has been made for FSS by leveraging semantic features learned from base classes with sufficient training samples to represent novel ...
Zewen Zheng +5 more
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Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform
Mathematics, 2023 Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform.
Mawardi Bahri +1 more
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Characteristic of Quaternion Algebra Over Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternion is an extension of the complex number system. Quaternion are discovered by formulating 4 points in 4-dimensional vector space using the cross product between two standard vectors. Quaternion algebra over a field is a 4-dimensional vector space
Muhammad Faldiyan +2 more
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Dual quaternion matrices in multi-agent formation control [PDF]
Communications in Mathematical Sciences, 2022 Three kinds of dual quaternion matrices associated with the mutual visibility graph, namely the relative configuration adjacency matrix, the logarithm adjacency matrix and the relative twist adjacency matrix, play important roles in multi-agent formation
L. Qi, Xiangke Wang, Ziyan Luo
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Review of Quaternion-Based Color Image Processing Methods
Mathematics, 2023 Images are a convenient way for humans to obtain information and knowledge, but they are often destroyed throughout the collection or distribution process.
Chao Huang, Juncheng Li, Guangwei Gao
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A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem [PDF]
Journal of Optimization Theory and Applications, 2022 The hand-eye calibration problem is an important application problem in robot research. Based on the 2-norm of dual quaternion vectors, we propose a new dual quaternion optimization method for the hand-eye calibration problem.
Zhongming Chen +3 more
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Dual Quaternion Knowledge Graph Embeddings
AAAI Conference on Artificial Intelligence, 2021 In this paper, we study the problem of learning representations of entities and relations in the knowledge graph for the link prediction task. Our idea is based on the observation that the vast majority of the related work only models the relation as a ...
Zongsheng Cao +4 more
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Speech Emotion Recognition Using Quaternion Convolutional Neural Networks [PDF]
IEEE International Conference on Acoustics, Speech, and Signal Processing, 2021 Although speech recognition has become a widespread technology, inferring emotion from speech signals remains a challenge. Our paper addresses this problem by proposing a quaternion convolutional neural network (QCNN) based speech emotion recognition ...
Aneesh Muppidi, Martin H. Radfar
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