Results 331 to 340 of about 77,287 (351)

Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field

Mathematical methods in the applied sciences, 2020
Fractional order quaternion‐valued neural networks are a type of fractional order neural networks for which neuron state, synaptic connection strengths, and neuron activation functions are quaternion.
A. Pratap, R. Raja, J. Alzabut, Jinde Cao, G. Rajchakit, Chuangxia Huang   +5 more
semanticscholar   +1 more source

Robust Sparse Representation in Quaternion Space

IEEE Transactions on Image Processing, 2021
Sparse representation has achieved great success across various fields including signal processing, machine learning and computer vision. However, most existing sparse representation methods are confined to the real valued data.
Yulong Wang, K. Kou, Cuiming Zou, Yuanyan Tang   +3 more
semanticscholar   +1 more source

Robust quaternion matrix completion with applications to image inpainting

Numerical Linear Algebra with Applications, 2019
In this paper, we study robust quaternion matrix completion and provide a rigorous analysis for provable estimation of quaternion matrix from a random subset of their corrupted entries.
Zhigang Jia, M. Ng, Guang-Jing Song
semanticscholar   +1 more source

Involutions of Complexified Quaternions and Split Quaternions

Advances in Applied Clifford Algebras, 2012
An involution or anti-involution is a self-inverse linear mapping. Involutions and anti-involutions of real quaternions were studied by Ell and Sangwine [15]. In this paper we present involutions and antiinvolutions of biquaternions (complexified quaternions) and split quaternions.
Yayli, Yusuf, Bekar, MURAT
openaire   +3 more sources

Modeling Human Motion with Quaternion-Based Neural Networks

International Journal of Computer Vision, 2019
Previous work on predicting or generating 3D human pose sequences regresses either joint rotations or joint positions. The former strategy is prone to error accumulation along the kinematic chain, as well as discontinuities when using Euler angles or ...
Dario Pavllo, Christoph Feichtenhofer, Michael Auli, David Grangier   +3 more
semanticscholar   +1 more source

Quaternion Convolutional Neural Networks

European Conference on Computer Vision, 2018
Neural networks in the real domain have been studied for a long time and achieved promising results in many vision tasks for recent years. However, the extensions of the neural network models in other number fields and their potential applications are ...
Xuanyu Zhu, Yi Xu, Hongteng Xu, Changjian Chen   +3 more
semanticscholar   +1 more source

QuatNet: Quaternion-Based Head Pose Estimation With Multiregression Loss

IEEE transactions on multimedia, 2019
Head pose estimation has attracted immense research interest recently, as its inherent information significantly improves the performance of face-related applications such as face alignment and face recognition.
Heng-Wei Hsu, Tung-Yu Wu, Sheng Wan, W. Wong, Chen-Yi Lee   +4 more
semanticscholar   +1 more source

Eigenvalues of Quaternion Tensors with Applications to Color Video Processing

Journal of Scientific Computing, 2022
Zhuo-Heng He, Xiang-Xiang Wang, Yunsheng Zhao   +2 more
semanticscholar   +1 more source

Quaternionic Starters

Graphs and Combinatorics, 2005
Let m be an integer, m ? 2 and set n = 2 m . Let G be a non-cyclic group of order 2n admitting a cyclic subgroup of order n. We prove that G always admits a starter and so there exists a one---factorization [InlineMediaObject not available: see fulltext.] of K 2 n admitting G as an automorphism group acting sharply transitively on vertices.
BONISOLI, Arrigo, RINALDI, Gloria
openaire   +3 more sources

Quaternionic determinants

The Mathematical Intelligencer, 1996
Mathematical Intelligencer ; 18 ; 3 ; 57 ...
openaire   +2 more sources