Einzigartige Bernoulli-Gibbs-Zustände und G-Maße
A sufficient condition for the Gibbs states of a shift-invariant specification on a one-dimensional lattice to be the $g$-chains for some continuous function $g$ is obtained. This is then used to derive criteria under which there is a unique Gibbs state, which...
JAHR: Ein superleichtes Modell zur Schätzung der Kopfhaltung
In der Mensch-Computer-Interaktion, head pose estimation profoundly influences application functionality. Although utilizing facial landmarks is valuable for this purpose, existing landmark-based methods prioritize precision over simplicity and model size, limiting their deployment on edge devices and in compute-poor environments. To bridge this...
Markov-Kernel, Distanzen und optimale Kontrolle: Eine Parabel der Linearität Quadratische nicht-Gaußsche Verteilungssteuerung
Für eine kontrollierbare lineare zeitliche Variation (LTV) Paar $(\fettes Symbol{A}_T,\fettes Symbol{B}_T)$ and $\boldsymbol{Q}_{T}$ positive semidefinite, we derive the Markov kernel for the It\^{O} Diffusion ${\Mathe{D}}\fettes Symbol{X}_{T}=\boldsymbol{A}_{T}\fettes Symbol{X}_T {\Mathe{D}} T + \Quadrat{2}\fettes Symbol{B}_{T}{\Mathe{D}}\fettes Symbol{w}_{T}$ with an accompanying killing of probability mass at rate $\frac{1}{2}\fettes Symbol{X}^{\Spitze}\fettes Symbol{Q}_{T}\fettes Symbol{X}$. This Markov kernel is the Green’s...
Beobachtbarkeitsbedingungen für neuronale Zustandsraummodelle mit Eigenwerten und ihre Wurzeln der Einheit
We operate through the lens of ordinary differential equations and control theory to study the concept of observability in the context of neural state-space models and the Mamba architecture. We develop strategies to enforce observability, die auf einen Lernkontext zugeschnitten sind,...
Ein Äquivalenzsatz für die algebraische und funktionale QFT
In diesem Artikel wird ein neuartiger Ansatz für funktionale Quantenfeldtheorien entwickelt (FQFTs) im Kontext der Lorentzschen Geometrie. The key challenge is that globally hyperbolic Lorentzian bordisms between two Cauchy surfaces cannot change the topology of the Cauchy surface. This is addressed...
Dynamische Absichtsabfragen für Bewegungstransformator-basierte Trajektorien Vorhersage
Beim autonomen Fahren, accurately predicting the movements of other traffic participants is crucial, as it significantly influences a vehicle’s planning processes. Modern trajectory prediction models strive to interpret complex patterns and dependencies from agent and map data. Der Bewegungstransformator (MTR) architecture...
Verteilte modellprädiktive Steuerung ohne Endkosten unter Ungenauigkeit verteilte Optimierung
This paper presents a novel distributed model predictive control (MPC) formulation without terminal cost and a corresponding distributed synthesis approach for distributed linear discrete-time systems with coupled constraints. The proposed control scheme introduces an explicit stability condition as an additional constraint based...
Multi-Scale Tensorial Summation and Dimensional Reduction Guided Neural Network for Edge Detection
Edge detection has attracted considerable attention thanks to its exceptional ability to enhance performance in downstream computer vision tasks. In recent years, various deep learning methods have been explored for edge detection tasks resulting in a significant performance improvement compared to conventional...
Performance Analysis of IEEE 802.11bn Non-Primary Channel Access
This paper presents a performance analysis of the Non-Primary Channel Access (NPCA) Mechanismus, a new feature introduced in IEEE 802.11bn to enhance spectrum utilization in Wi-Fi networks. NPCA enables devices to contend for and transmit on the secondary channel when the primary...
Rings whose mininjective modules are injective
The main goal of this paper is to characterize rings over which the mininjective modules are injective, so that the classes of mininjective modules and injective modules coincide. We show that these rings are precisely those Noetherian rings for which every min-flat...