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pro vyhledávání: '"Vogt, Hendrik"'
In this paper, we propose a method for addressing the issue of unnoticed catastrophic deployment and domain shift in neural networks for semantic segmentation in autonomous driving. Our approach is based on the idea that deep learning-based perceptio
Externí odkaz:
http://arxiv.org/abs/2308.06299
Autor:
Holst, Paul, Vogt, Hendrik
In 1998, V. Liskevich and Y. Semenov showed sharp Gaussian upper bounds for Schr\"odinger semigroups on $\mathbb R^3$ with potentials satisfying a global Kato class condition. Using similar basic ideas we show sharp Gaussian upper bounds for Schr\"od
Externí odkaz:
http://arxiv.org/abs/2209.12211
Autor:
Vogt, Hendrik, Voigt, Jürgen
We present a form convergence theorem for sequences of sectorial forms and their associated semigroups in a complex Hilbert space. Roughly speaking, the approximating forms $a_n$ are all `bounded below' by the limiting form $a$, but in contrast to th
Externí odkaz:
http://arxiv.org/abs/2209.12204
Autor:
Vogt, Hendrik
We give a short and elementary proof of the theorem of Lutz Weis that the growth bound of a positive $C_0$-semigroup on $L_p(\mu)$ equals the spectral bound of its generator. In addition, we generalise the result to the case of uniformly eventually p
Externí odkaz:
http://arxiv.org/abs/2110.02310
Autor:
Vogt, Hendrik, Voigt, Jürgen
We give an "elementary" proof of an inequality due to Maz'ya. As a prerequisite we prove an approximation property for the Hausdorff measure. We also comment on the relations between Maz'ya's inequality, the isoperimetric inequality and the Sobolev i
Externí odkaz:
http://arxiv.org/abs/1910.07837
Autor:
Vogt, Hendrik, Voigt, Jürgen
We prove convergence results for `increasing' sequences of sectorial forms. We treat both the case of closed forms and the case of non-closable forms.
Externí odkaz:
http://arxiv.org/abs/1812.03774
Akademický článek
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Full-duplex transmission comprises the ability to transmit and receive at the same time on the same frequency band. It allows for more efficient utilization of spectral resources, but raises the challenge of strong self-interference (SI). Cancellatio
Externí odkaz:
http://arxiv.org/abs/1806.01004
This article deals with a variation of constants type inequality for semigroups acting consistently on a scale of Banach spaces. This inequality can be characterized by a corresponding (easy to verify) inequality for their generators. The results hav
Externí odkaz:
http://arxiv.org/abs/1802.00335