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pro vyhledávání: '"A Hohl"'
In this paper, we extend the port-Hamiltonian framework by introducing the concept of Stokes-Lagrange structure, which enables the implicit definition of a Hamiltonian over an $N$-dimensional domain and incorporates energy ports into the system. This
Externí odkaz:
http://arxiv.org/abs/2412.04499
Autor:
Ebrahem, Adnan, Hohl, Jannes, Jessen, Etienne, Eikelder, Marco F. P. ten, Schillinger, Dominik
We present a framework for modeling liver regrowth on the organ scale that is based on three components: (1) a multiscale perfusion model that combines synthetic vascular tree generation with a multi-compartment homogenized flow model, including a ho
Externí odkaz:
http://arxiv.org/abs/2410.19529
Autor:
Yang, Qidong, Giezendanner, Jonathan, Civitarese, Daniel Salles, Jakubik, Johannes, Schmitt, Eric, Chandra, Anirban, Vila, Jeremy, Hohl, Detlef, Hill, Chris, Watson, Campbell, Wang, Sherrie
Urgent applications like wildfire management and renewable energy generation require precise, localized weather forecasts near the Earth's surface. However, weather forecast products from machine learning or numerical weather models are currently gen
Externí odkaz:
http://arxiv.org/abs/2410.12938
Traditional speech enhancement methods often oversimplify the task of restoration by focusing on a single type of distortion. Generative models that handle multiple distortions frequently struggle with phone reconstruction and high-frequency harmonic
Externí odkaz:
http://arxiv.org/abs/2409.11145
Autor:
Hohl, Andreas, Jakob, Konstantin
We define categories of Stokes filtered and Stokes graded $G$-local systems for reductive groups $G$ and use the formalism of Tannakian categories to show that they are equivalent to the category of $G$-connections. We then use the interpretation of
Externí odkaz:
http://arxiv.org/abs/2404.09582
First, two examples of 1D distributed port-Hamiltonian systems with dissipation, given in explicit (descriptor) form, are considered: the Dzekster model for the seepage of underground water and a nanorod model with non-local viscous damping. Implicit
Externí odkaz:
http://arxiv.org/abs/2402.07628
Autor:
Douçot, Jean, Hohl, Andreas
We reinterpret a result of T. Mochizuki about the Fourier transform of Stokes data of irregular connections on the Riemann sphere in the language of Stokes local systems due to P. Boalch. We thus obtain a clean topological description of the Stokes m
Externí odkaz:
http://arxiv.org/abs/2402.05108
Autor:
Hohl, Andreas
We study some aspects of conjugation and descent in the context of the irregular Riemann-Hilbert correspondence of D'Agnolo-Kashiwara. First, we give a proof of the fact that Kashiwara's conjugation functor for holonomic D-modules is compatible with
Externí odkaz:
http://arxiv.org/abs/2307.15608
Despite enormous progress in Natural Language Processing (NLP), our field is still lacking a common deep semantic representation scheme. As a result, the problem of meaning and understanding is typically sidestepped through more simple, approximative
Externí odkaz:
http://arxiv.org/abs/2305.09534
Autor:
Hohl, Andreas, Schapira, Pierre
We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2303.11189