Zobrazeno 1 - 10
of 2 471
pro vyhledávání: '"Felix, L."'
We study the question of when a distributed port-Hamiltonian system is bounded-input bounded-output (BIBO) stable. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stabili
Externí odkaz:
http://arxiv.org/abs/2410.12697
We investigate when the algebraic numerical range is a $C$-spectral set in a Banach algebra. While providing several counterexamples based on classical ideas as well as combinatorial Banach spaces, we discuss positive results for matrix algebras and
Externí odkaz:
http://arxiv.org/abs/2410.10678
Autor:
Bergna, Richard, Calvo-Ordoñez, Sergio, Opolka, Felix L., Liò, Pietro, Hernandez-Lobato, Jose Miguel
We address the problem of learning uncertainty-aware representations for graph-structured data. While Graph Neural Ordinary Differential Equations (GNODE) are effective in learning node representations, they fail to quantify uncertainty. To address t
Externí odkaz:
http://arxiv.org/abs/2408.16115
Autor:
Kruse, Karsten, Schwenninger, Felix L.
We study maximal regularity with respect to continuous functions for strongly continuous semigroups on locally convex spaces as well as its relation to the notion of admissible operators. This extends several results for classical strongly continuous
Externí odkaz:
http://arxiv.org/abs/2408.11437
In this paper we consider BIBO stability of infinite-dimensional linear state-space systems and the related notion of $L^1$-to-$L^1$ input-output stability (abbreviated LILO). We show that in the case of finite-dimensional input and output spaces, bo
Externí odkaz:
http://arxiv.org/abs/2408.06313
Autor:
Arora, Sahiba, Schwenninger, Felix L.
We extend classical duality results by Weiss on admissible operators to settings where the dual semigroup lacks strong continuity. This is possible using the sun-dual framework, which is not immediate from the duality of the input and output maps. Th
Externí odkaz:
http://arxiv.org/abs/2408.02150
Causal Bayesian networks are widely used tools for summarising the dependencies between variables and elucidating their putative causal relationships. Learning networks from data is computationally hard in general. The current state-of-the-art approa
Externí odkaz:
http://arxiv.org/abs/2406.15012
Autor:
Ampuero, J. L., Anadón, A., Damas, H., Ghanbaja, J., Petit-Watelot, S., Rojas-Sánchez, J. -C., Rodriguez, D. Velázquez, Gómez, J. E., Butera, A., Avilés-Félix, L.
In this study, we investigate the spin-charge current conversion characteristics of chemically disordered ferromagnetic single FePt thin films by spin-pumping ferromagnetic resonance experiments performed on both a resonance cavity and on patterned d
Externí odkaz:
http://arxiv.org/abs/2405.11948
In this note we discuss the difficulty of verifying $\mathrm{L}^p$-admissibility for $p\neq 2$ -- that even manifests in the presence of a self-adjoint semigroup generator on a Hilbert space -- and survey tests for $\mathrm{L}^p$-admissibility of giv
Externí odkaz:
http://arxiv.org/abs/2404.06250
It is well-known that the Sobolev spaces $W^{k,p}(\mathbb R^d)$ are vector lattices with respect to the pointwise almost everywhere order if $k \in \{0,1\}$, but not if $k \ge 2$. In this note, we consider negative $k$ and show that the span of the p
Externí odkaz:
http://arxiv.org/abs/2404.02116