Results 71 to 80 of about 355,626 (313)

A general method for solving linear matrix equations of elliptic biquaternions with applications

AIMS Mathematics, 2020
In this study, we obtain the real representations of elliptic biquaternion matrices. Afterwards, with the aid of these representations, we develop a general method to solve the linear matrix equations over the elliptic biquaternion algebra. Also we apply
Kahraman Esen Özen
doaj   +1 more source

Predicting Postresection Colorectal Liver Metastases Recurrence Using Advanced Graph Neural Networks with Explainability and Causal Inference

Advanced Intelligent Systems, EarlyView.
This study introduces a framework that combines graph neural networks with causal inference to forecast recurrence and uncover the clinical and pathological factors driving it. It further provides interpretability, validates risk factors via counterfactual and interventional analyses, and offers evidence‐based insights for treatment planning ...
Jubair Ahmed, Md. Abdur Rahman, Mohaimenul Azam Khan Raiaan, Sami Azam   +3 more
wiley   +1 more source

Poincar\'e Supersymmetry Representations Over Trace Class Noncommutative Graded Operator Algebras

, 1997
We show that rigid supersymmetry theories in four dimensions can be extended to give supersymmetric trace (or generalized quantum) dynamics theories, in which the supersymmetry algebra is represented by the generalized Poisson bracket of trace ...
Adler, Adler, Adler, Adler, Adler, Adler, Stephen L. Adler, West   +7 more
core   +1 more source

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source

Basic Properties of Coherent and Generalized Coherent Operators Revisited

, 2000
In this letter we make a brief review of some basic properties (the matrix elements, the trace, the Glauber formula) of coherent operators and study the corresponding ones for generalized coherent operators based on Lie algebra su(1,1).
Fujii, Kazuyuki
core   +1 more source

Supercommuting maps on unital algebras with idempotents

AIMS Mathematics
Let $ \mathcal{A} $ be a unital algebra with nontrivial idempotents. We considered $ \mathcal{A} $ as a superalgebra according to Ghahramani and Zadeh's method. We provided a description of supercommuting maps on $ \mathcal{A} $.
Yingyu Luo, Yu Wang
doaj   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source

Minimal deformations of the commutative algebra and the linear group GL(n)

, 1992
We consider the relations of generalized commutativity in the algebra of formal series $ M_q (x^i ) $, which conserve a tensor $ I_q $-grading and depend on parameters $ q(i,k) $ .
A. S. Shvarts, A. Schirrmacher, A. Schirrmacher, A. V. Zamolodchikov, B. M. Zupnik, D. A. Leites, D. I. Gurevich, F. A. Berezin, F. A. Smirnov, F. R. Gantmacher, J. Wess, L. D. Faddeev, M. V. Mosolova, P. P. Kulish, S. L. Woronovicz, V. G. Drinfel'd, V. S. Vladimirov, Yu. I. Manin   +17 more
core   +1 more source

Research on splitting quaternions with generalized Tribonacci hybrid number components [PDF]

Notes on Number Theory and Discrete Mathematics
This paper introduces the Generalized Tribonacci Hybrid Split Quaternion (GTHSQ), a novel split quaternion with coefficients derived from generalized Tribonacci hybrid numbers.
Yanni Yang, Yong Deng
doaj   +1 more source

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source