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pro vyhledávání: '"Fazeny, Ariane"'
This paper models gas networks as metric graphs, with isothermal Euler equations at the edges, Kirchhoff's law at interior vertices and time-(in)dependent boundary conditions at boundary vertices. For this setup, a generalized $p$-Wasserstein metric
Externí odkaz:
http://arxiv.org/abs/2405.01698
Publikováno v:
In: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, vol 14009. Springer, Cham (2023)
This paper introduces gradient, adjoint, and $p$-Laplacian definitions for oriented hypergraphs as well as differential and averaging operators for unoriented hypergraphs. These definitions are used to define gradient flows in the form of diffusion e
Externí odkaz:
http://arxiv.org/abs/2309.15419
Autor:
Fazeny, Ariane
This thesis generalizes the differential operators on standard oriented graphs and oriented hypergraphs introduced in 10.1137/15M1022793 and arXiv:2007.00325. The extended concepts of gradients, adjoints and $p$-Laplacians for vertices and (hyper)arc
Externí odkaz:
http://arxiv.org/abs/2304.06468
Akademický článek
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Publikováno v:
Journal of Mathematical Imaging & Vision; Aug2024, Vol. 66 Issue 4, p529-549, 21p
