Extreme Points and Some Quaternion Valued Functions in the Unit Ball of $${\mathbb {R}}^3$$R3
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0848-9
Abstract: In this paper, we give a new definition of a class of quaternion function spaces, which will be called $$F(p,\alpha ,s;E)$$F(p,α,s;E)-type spaces. Then, we characterize quaternion $$\alpha $$α-Bloch functions by functions belonging to $$F(p,\alpha ,s;E)$$F(p,α,s;E)… read more here.
Keywords: quaternion; quaternion valued; points quaternion; unit ball ... See more keywords
Stability of Quaternion-Valued Neural Networks with Mixed Delays
Sign Up to like & getrecommendations! Published in 2018 at "Neural Processing Letters"
DOI: 10.1007/s11063-018-9849-x
Abstract: In this paper, we investigate the dynamic behaviors of quaternion-valued recurrent neural networks with mixed time delays. On the basis of Brouwer’s fixed point theorem, quaternion-valued variation parameter and quaternion-modulus inequality technique, some sufficient conditions… read more here.
Keywords: quaternion; neural networks; stability quaternion; networks mixed ... See more keywords
Synchronization Control of Quaternion-Valued Neural Networks with Parameter Uncertainties
Sign Up to like & getrecommendations! Published in 2019 at "Neural Processing Letters"
DOI: 10.1007/s11063-019-10153-2
Abstract: In this paper, by starting from basic quaternion algebra properties and algorithms, we develop a comprehensive set of properties to ensure the uncertain quaternion-valued neural networks can receive synchronization and quasi-synchronization goals. By endowing the… read more here.
Keywords: quaternion; valued neural; neural networks; control ... See more keywords
Synchronization in Quaternion-Valued Neural Networks with Delay and Stochastic Impulses
Sign Up to like & getrecommendations! Published in 2022 at "Neural Processing Letters"
DOI: 10.1007/s11063-021-10653-0
Abstract: A class of global exponential synchronization problem for delayed quaternion-valued neural networks with stochastic impulses has been investigated in this paper, where the impulses arouse time and strength both are randomly. Firstly, the delayed quaternion-valued… read more here.
Keywords: quaternion valued; valued neural; neural networks; stochastic impulses ... See more keywords
Floquet Theory for Quaternion-Valued Differential Equations
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00355-8
Abstract: This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficients is presented and the stability of quaternionic periodic systems is accordingly… read more here.
Keywords: theory quaternion; differential equations; quaternion valued; valued differential ... See more keywords
Global dissipativity analysis of quaternion-valued memristor-based neural networks with proportional delay
Sign Up to like & getrecommendations! Published in 2018 at "Neurocomputing"
DOI: 10.1016/j.neucom.2018.09.030
Abstract: Abstract In this paper, the global dissipativity problem is investigated for the quaternion-valued memristor-based neural networks (QVMNNs) with proportional delay. Firstly, the mathematical model of QVMNNs is proposed, which is a challenging model due to… read more here.
Keywords: global dissipativity; quaternion valued; delay; proportional delay ... See more keywords
Stability analysis for quaternion-valued inertial memristor-based neural networks with time delays
Sign Up to like & getrecommendations! Published in 2021 at "Neurocomputing"
DOI: 10.1016/j.neucom.2021.03.106
Abstract: Abstract Quaternion-valued inertial memristor-based neural networks with time-varying delays are found to be effective in demonstrating complex dynamic behaviors. Considering the stability of the periodic solution for a novel neural network, we construct a class… read more here.
Keywords: memristor based; based neural; neural networks; inertial memristor ... See more keywords
Global Mittag-Leffler stability for fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2021.2023688
Abstract: This paper is devoted to analysing the global Mittag-Leffler stability of fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses. The quaternion direct method is adopted to address the considered model avoiding any decomposition.… read more here.
Keywords: quaternion valued; quaternion; mittag leffler; leffler stability ... See more keywords
Quaternion-Valued Correlation Learning for Few-Shot Semantic Segmentation
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Circuits and Systems for Video Technology"
DOI: 10.1109/tcsvt.2022.3223150
Abstract: 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… read more here.
Keywords: valued correlation; correlation learning; quaternion valued; quaternion ... See more keywords
Passivity and Dissipativity of Fractional-Order Quaternion-Valued Fuzzy Memristive Neural Networks: Nonlinear Scalarization Approach.
Sign Up to like & getrecommendations! Published in 2020 at "IEEE transactions on cybernetics"
DOI: 10.1109/tcyb.2020.3025439
Abstract: In this article, the problem of passivity and dissipativity analysis is investigated for a class of fractional-order quaternion-valued fuzzy memristive neural networks. Based on the famous nonlinear scalarizing function, a nonlinear scalarization method is developed,… read more here.
Keywords: quaternion valued; passivity; passivity dissipativity; fractional order ... See more keywords
Event-Triggered Quantized Quasisynchronization of Uncertain Quaternion-Valued Chaotic Neural Networks With Time-Varying Delay for Image Encryption
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2022.3176013
Abstract: In this article, a class of quaternion-valued master–slave neural networks (NNs) with time-varying delay and parameter uncertainties was first established by conducting the extension from real-valued chaotic NNs to the quaternion field. Then, based on… read more here.
Keywords: quaternion valued; neural networks; quaternion; quasisynchronization ... See more keywords