Blog
On soliton resolution to Cauchy problem of the spin-1 Gross-Pitaevskii equation
We investigate the Cauchy problem for the spin-1 Gross-Pitaevskii(GP) equation, which is a model instrumental in characterizing the soliton dynamics within spinor Bose-Einstein condensates. Kürzlich, Geng $etal.$ (Komm. Mathe. Physik. 382, 585-611 (2021)) reported the long-time asymptotic result with error $\mathcal{O}(\frak{\log t}T)$...
GRANITE : a Byzantine-Resilient Dynamic Gossip Learning Framework
Gossip Learning (GL) is a decentralized learning paradigm where users iteratively exchange and aggregate models with a small set of neighboring peers. Recent GL approaches rely on dynamic communication graphs built and maintained using Random Peer Sampling (RPS) Protokolle. Thanks to graph...
Probabilistic modeling of delays for train journeys with transfers
Reliability plays a key role in the experience of a rail traveler. The reliability of journeys involving transfers is affected by the reliability of the transfers and the consequences of missing a transfer, as well as the possible delay of the train...
Prototype-enhanced prediction in graph neural networks for climate applications
Data-driven emulators are increasingly being used to learn and emulate physics-based simulations, reducing computational expense and run time. Hier, we present a structured way to improve the quality of these high-dimensional emulated outputs, through the use of prototypes: an approximation of the...
Goal-Oriented Time-Series Forecasting: Foundation Framework Design
Traditional time-series forecasting often focuses only on minimizing prediction errors, ignoring the specific requirements of real-world applications that employ them. This paper presents a new training methodology, which allows a forecasting model to dynamically adjust its focus based on the importance of...
Hausdorff dimension of shrinking targets on Przytycki-Urbański fractals
Shrinking target problems in the context of iterated function systems have received an increasing amount of interest in the past few years. The classical shrinking target problem concerns points returning infinitely many times to a sequence of shrinking balls. In the iterated...
Neue Erkenntnisse über Supernova-Überreste und HII-Regionen in M82
The nearby (d=3.6 Mpc) starburst galaxy M82 has been studied for several decades by very long baseline interferometry (VLBI) networks such as e-MERLIN and the European VLBI Network (EVN). The numerous supernova remnants (SNRs), HII regions and other exotic transients make it...
Oberflächenmorphologie und Dickenvariationsschätzung von Zeolithen Elektronenptychographie
Zeolithe, als repräsentative poröse Materialien, possess intricate three-dimensional frameworks that endow them with high surface areas and remarkable catalytic properties. There are a few factors that give a huge influence on the catalytic properties, including the size and connectivity of these three-dimensional...
Maßgeschneidertes Minimalreservoir-Computing: auf der bidirektionalen Verbindung zwischen Nichtlinearitäten im Reservoir und in Daten
We study how the degree of nonlinearity in the input data affects the optimal design of reservoir computers, focusing on how closely the model’s nonlinearity should align with that of the data. By reducing minimal RCs to a single tunable nonlinearity parameter,...
On systems disjoint from all minimal systems
Kürzlich, G\'{O}rska, Lema\'{N}czyk, and de la Rue characterized the class of automorphisms disjoint from all ergodic automorphisms. Inspired by their work, we provide several characterizations of systems that are disjoint from all minimal systems. For a topological dynamical system $(X,T)$, it is...