Dynamische Eichinvarianz der statistischen Mechanik
We investigate gauge invariance against phase space shifting in nonequilibrium systems, as represented by time-dependent many-body Hamiltonians that drive an initial ensemble out of thermal equilibrium. The theory gives rise to gauge correlation functions that characterize spatial and temporal inhomogeneity with microscopic...
Interpretierbare nichtlineare Dimensionsreduktion mithilfe von Gauß gewichtete lineare Transformation
Dimensionality reduction techniques are fundamental for analyzing and visualizing high-dimensional data. With established methods like t-SNE and PCA presenting a trade-off between representational power and interpretability. This paper introduces a novel approach that bridges this gap by combining the interpretability of linear...
SAPO-RL: Sequentielle Aktuatorplatzierungsoptimierung für Rumpf Zusammenbau durch Reinforcement Learning
Precise assembly of composite fuselages is critical for aircraft assembly to meet the ultra-high precision requirements. Due to dimensional variations, there is a gap when two fuselage assemble. In practice, actuators are required to adjust fuselage dimensions by applying forces to specific...
Von der Oberflächenrauheit bis zur Kraterbildung im 2D-Mehrmaßstab Simulation der Ultrakurzpulslaserablation
Die Oberflächenrauheit spielt bei der Ultrakurzpulslaserablation eine entscheidende Rolle, insbesondere für industrielle Anwendungen mit Burst-Modus-Betrieb, Multipuls-Laserbearbeitung, and the generation of laser-induced periodic surface structures. Somit, we address the impact of surface roughness on the resulting laser...
Zeitaufgelöste Dynamik von GaN-Wellenleiterpolaritonen
We implement a new experimental approach to directly measure the lifetime of guided polaritons arising from the strong-coupling of GaN excitons and the guided photonic modes of a slab waveguide. Verwendung eines Fourier-Bildgebungsaufbaus, kombiniert mit einer räumlichen Filterung der Emission,...
Der Cauchy–Szegö Projection for domains in $\mathbb C^n$ with minimal smoothness: gewichtete Theorie
Let $D\subset\mathbb C^n$ be a bounded, strongly pseudoconvex domain whose boundary $bD$ satisfies the minimal regularity condition of class $C^2$. A 2017 result of Lanzani \& Stein gibt an, dass der Cauchy–Szeg\”{O} projection $S_\omega$ defined with respect to a bounded, positive continuous multiple...
TarDiff: Zielorientierte Diffusionsführung für synthetische Elektronik Generierung von Zeitreihen für Gesundheitsakten
Synthetische elektronische Gesundheitsakte (EHR) time-series generation is crucial for advancing clinical machine learning models, as it helps address data scarcity by providing more training data. Jedoch, most existing approaches focus primarily on replicating statistical distributions and temporal dependencies of real-world data....
Bolzen: Bekleidung virtueller Charaktere im Maßstab
Das Einkleiden virtueller Charaktere ist ein zeitaufwändiger und oft manueller Prozess. Outfits können aus mehreren Kleidungsstücken bestehen, and each garment must be fitted to the unique shape of a character. Since characters can vary widely in size and shape, fitting outfits to...
Linearzeitliche Mehrebenen-Graphpartitionierung mittels Kantensparsifizierung
The current landscape of balanced graph partitioning is divided into high-quality but expensive multilevel algorithms and cheaper approaches with linear running time, wie Single-Level-Algorithmen und Streaming-Algorithmen. We demonstrate how to achieve the best of both worlds with a \emph{linear...
Eindimensionales $q$-Zustandsmodifiziertes Potts-Modell und seine Thermodynamik Funktionen
Seit seiner Einführung, the Potts model has gained widespread popularity across various fields due to its diverse applications. Even minor advancements in this model continue to captivate scientists worldwide, and small modifications often intrigue researchers from different disciplines. This paper investigates a...