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of 2 292
pro vyhledávání: '"Operator semigroup"'
This paper presents a novel study of the oversmoothing issue in diffusion-based Graph Neural Networks (GNNs). Diverging from extant approaches grounded in random walk analysis or particle systems, we approach this problem through operator semigroup t
Externí odkaz:
http://arxiv.org/abs/2402.15326
Publikováno v:
Discussiones Mathematicae - General Algebra and Applications, Vol 42, Iss 1, Pp 121-134 (2022)
The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structu
Externí odkaz:
https://doaj.org/article/ee904b2160c7470fbcdc5023c724ab75
Akademický článek
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Autor:
Junghenn, H. D.
Publikováno v:
Transactions of the American Mathematical Society, 1996 Mar 01. 348(3), 1051-1073.
Externí odkaz:
https://www.jstor.org/stable/2155231
Autor:
Xu, Genqi1 (AUTHOR) gqxu@tju.edu.cn
Publikováno v:
Frontiers of Mathematics in China. Feb2022, Vol. 17 Issue 1, p47-77. 31p.
Autor:
Tikhonov, Yu. A.1,2 (AUTHOR) yurytik@yandex.ru
Publikováno v:
Differential Equations. Jun2020, Vol. 56 Issue 6, p797-812. 16p.
Autor:
Koltai, Péter
In this technical report the $C_0$ semigroup of Frobenius-Perron operators on $L^1(X)$ is considered, where the underlying dynamical system is such that trajectories may leave the state space $X$ and terminate. We introduce a discrete infinitesimal g
Externí odkaz:
http://arxiv.org/abs/1103.0530
Differential equation approximations of stochastic network processes: an operator semigroup approach
The rigorous linking of exact stochastic models to mean-field approximations is studied. Starting from the differential equation point of view the stochastic model is identified by its Kolmogorov equations, which is a system of linear ODEs that depen
Externí odkaz:
http://arxiv.org/abs/1107.2814
Autor:
Storozhuk, K. V.
Publikováno v:
Siberian Math. J., Vol. 50, No. 4, pp. 738-741, 2009
Let $T:X\to X$ be a linear power bounded operator on Banach space. Let $X_0$ is a subspace of vectors tending to zero under iterating of $T$. We prove that if $X_0$ is not equal to $X$ then there exists $\lambda$ in Sp(T) such that, for every $\epsil
Externí odkaz:
http://arxiv.org/abs/1004.1527