Verkehrsunabhängiges Multi-Commodity-Flow-Netzwerkdesign
Wir betrachten den Untergraphen „Minimum Multi-Commodity Flow“. (MMCFS) Problem: given a directed graph $G$ with edge capacities $\mathit{Kappe}$ and a retention ratio $\alpha\in(0,1)$, Finden Sie einen kantenmäßig minimalen Teilgraphen $G’ \subseteq G$ such that for all traffic matrices $T$ routable in $G$ using...
Mit autonomer Quantenfehlerkorrektur den Break-Even-Punkt übertreffen
Quantenfehlerkorrektur (QEC) ist für das praktische Quantencomputing unerlässlich, as it protects fragile quantum information from errors by encoding it in high-dimensional Hilbert spaces. Conventional QEC protocols typically require repeated syndrome measurements, Echtzeit-Feedback, and the use of multiple physical qubits...
Materie-Antimaterie-Asymmetrie in verallgemeinerten Kopplungstheorien
We explore the gravitational baryogenesis paradigm in the homogeneous and isotropic cosmology of generalized coupling gravity and, insbesondere, of the so-called Minimal Exponential Measure Model (MEMe). Das zeigen wir, also in this theory, the time derivative of the Ricci scalar couples...
QAOA-PCA: Steigerung der Effizienz bei der Quantennäherungsoptimierung Algorithmus über Hauptkomponentenanalyse
Der Quantennäherungsoptimierungsalgorithmus (QAOA) is a promising variational algorithm for solving combinatorial optimization problems on near-term devices. Jedoch, as the number of layers in a QAOA circuit increases, was mit der Qualität der Lösung korreliert, the number of...
Rauschtolerantes, auf Kernsätzen basierendes, inkrementelles, kontinuierliches Lernen in Klassen
Many applications of computer vision require the ability to adapt to novel data distributions after deployment. Adaptation requires algorithms capable of continual learning (CL). Continual learners must be plastic to adapt to novel tasks while minimizing forgetting of previous tasks.However, CL opens...
Ein Hinweis zur Stabilität des Dunklen Energiemodells von Zeitkristallen
In dieser Notiz, we investigate the stability of the dark energy model from time crystals proposed in [1]. Wir legen Wert auf zwei Zutaten, the coupling of the scalar field to gravity, and the fact that these time crystals are on an expanding FRW...
Reduktion $ε$-erweiterter Feynman-Integrale
Since Feynman integrals (FIs) at higher spacetime dimensions are free of infrared and collinear divergence–and their ultraviolet divergences can be systematically subtracted–this allows us to construct a wide range of locally finite Feynman integrals. Especially, we propose a method named $\bar{R}$-operation to...
Online-Modelllernen mit datenassimilierten Reservoircomputern
We propose an online learning framework for forecasting nonlinear spatio-temporal signals (Felder). Die Methode integriert (ich) Dimensionsreduktion, Hier, eine einfache richtige orthogonale Zerlegung (POD) Vorsprung; (ii) ein verallgemeinertes autoregressives Modell zur Vorhersage reduzierter Dynamik, Hier, a reservoir computer; (iii) online adaptation...
Tiefenphotonischer Reservoircomputer für nichtlinearen Ausgleich von 16 Ebenen Quadraturamplitudenmodulationssignale
Photonischer Reservoircomputer (VR China) is a kind of real-time and adaptive recurrent neural network, where only weights in the readout layer require training. PRC is a promising tool to deal with the crucial issue of nonlinear equalization in optical fiber communications. Here...
Projektive Sortenwiederherstellung aus unbekannten linearen Projektionen
We study how a smooth irreducible algebraic variety $X$ of dimension $n$ embedded in $\mathbb{C} \mathbb{P}^{M}$ (with $m \geq n+2$), which degree is $d$, can be recovered using two projections from unknown points onto unknown hyperplanes. The centers and the hyperplanes of...