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Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
Zhihang Xu, Min Wang, Zhu Wang
https://arxiv.org/abs/2506.14812 http…

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
While deep learning has achieved remarkable success in solving partial differential equations (PDEs), it still faces significant challenges, particularly when the PDE solutions have low regularity or singularities. To address these issues, we propose the Weak TransNet (WTN) method, based on a Petrov-Galerkin formulation, for solving elliptic PDEs in this work, though its framework may extend to other classes of equations. Specifically, the neural feature space defined by TransNet (Zhang et al.,…

LP Relaxations for Routing and Wavelength Assignment with Partial Path Protection: Formulations and Computations
Xianyan Yang, Junyan Liu, Fan Zhang, Fabo Sun, Feng Li, Zhou Xu
https://arxiv.org/abs/2506.12838

LP Relaxations for Routing and Wavelength Assignment with Partial Path Protection: Formulations and Computations
As a variant of the routing and wavelength assignment problem (RWAP), the RWAP with partial path protection (RWAP-PPP) designs a reliable optical-fiber network for telecommunications. It assigns paths and wavelengths to meet communication requests, not only in normal working situations but also in potential failure cases where an optical link fails. The literature lacks efficient relaxations to produce tight lower bounds on the optimal objective value of the RWAP-PPP. Consequently, the solution…

So schlecht wie die #DigitalisierungInDeutschland in den Behörden größtenteils zu sein scheint, bin ich doch jedes Jahr wieder positiv über das #Elster Portal überrascht. Die #Steuererklärung

Kann eins nicht genügend empfehlen: Den Podcast Büchners Welt mit Luise und Peter Brunner; in der aktuellen, achten Episode (ab ca 33:30) erzählt Peter Brunner von der Entdeckung von Klaus Kroner, gemäß der in einem erhaltenen Exemplar des Hessischen Landboten die bekannte Parole am Ende sich durch ein entscheidendes Satzzeichen unterscheidet: "Friede den Hütten! Krieg den Palästen ?":
von

Büchners Welt - der Podcast von Luise und Peter - Neues aus Buechnerland
Nach der Erstsendung auf RadioDarmstadt  werden hier alle Folgen des Podcast zu finden sein – ganz bequem zum Anhören per Mausklick.  Selbstverständlich finden Sie die Folgen auch auf allen gängigen Portalen zum Anhören wo´s beliebt.  Zur Sendung Im Kern der Sendereihe Büchners Welt steht Georg Büchner. Um ihn, seine Werke, seine Familie und seine Freundschaften […]

Rieffel projections and 2-by-2 matrices
Olivier Isely, Alain Valette
https://arxiv.org/abs/2506.12640 https://arxiv.org/pdf/2506.1264…

Rieffel projections and 2-by-2 matrices
For a compact space $Y$, we view $C(Y\times S^1)$ as the crossed product $C(Y)\rtimes\mathbb{Z}$, with $\mathbb{Z}$ acting trivially. This allows us to study Rieffel projections in $M_2(C(Y\times S^1))$: we characterize them and compute their image under the projection $\partial_0:K_0(C(Y\times S^1))\rightarrow K_1(C(Y))$. We provide a new Rieffel projection in $M_2(C(\mathbb{T}^2))$, different from Loring's one, and involving only trigonometric polynomials plus the square root of $2-e^{2πiθ}…

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YSO Jets Driven by Magnetic Pressure Generated through Stellar Magnetosphere-Disk Interaction
Yisheng Tu, Zhi-Yun Li, Zhaohuan Zhu, Xiao Hu, Chun-Yen Hsu
https://arxiv.org/abs/2506.11333

YSO Jets Driven by Magnetic Pressure Generated through Stellar Magnetosphere-Disk Interaction
The origin of jets in young stellar objects (YSOs) remains a subject of active investigation. We present a 3D non-ideal magnetohydrodynamic simulation of jet launching in YSOs, focusing on the interaction between the stellar magnetosphere and the circumstellar disk. At the beginning of the simulation, the magnetosphere partially opens, forming two oppositely directed magnetic field regions: one threading the star and the other threading the inner disk. The latter dominates over the original dis…

Partial independent transversals in multipartite graphs
Penny Haxell, Arpit Mittal, Yi Zhao
https://arxiv.org/abs/2506.09515 https://…

Partial independent transversals in multipartite graphs
Given integers $r>d\ge 0$ and an $r$-partite graph, an independent $(r-d)$-transversal or $(r-d)$-IT is an independent set of size $r-d$ that intersects each part in at most one vertex. We show that every $r$-partite graph with maximum degree $Δ$ and parts of size $n$ contains an $(r-d)$-IT if $n> 2Δ(1-\frac{1}{q})$, provided $q= \lfloor \frac{r}{d+1}\rfloor\ge \frac{4r}{4d+5}$. This is tight when $q$ is even and extends a classical result of Haxell in the $d=0$ case. When $q= \lfloor \frac{r…

Seamless Dysfluent Speech Text Alignment for Disordered Speech Analysis
Zongli Ye, Jiachen Lian, Xuanru Zhou, Jinming Zhang, Haodong Li, Shuhe Li, Chenxu Guo, Anaisha Das, Peter Park, Zoe Ezzes, Jet Vonk, Brittany Morin, Rian Bogley, Lisa Wauters, Zachary Miller, Maria Gorno-Tempini, Gopala Anumanchipalli
https://arxiv.org/abs/2…

Seamless Dysfluent Speech Text Alignment for Disordered Speech Analysis
Accurate alignment of dysfluent speech with intended text is crucial for automating the diagnosis of neurodegenerative speech disorders. Traditional methods often fail to model phoneme similarities effectively, limiting their performance. In this work, we propose Neural LCS, a novel approach for dysfluent text-text and speech-text alignment. Neural LCS addresses key challenges, including partial alignment and context-aware similarity mapping, by leveraging robust phoneme-level modeling. We eval…

Um König zu werden, braucht man keine Bildung und keine guten Schulnoten, sondern nur die richtigen Eltern. Das gleiche gilt für den Aufstieg in den Parteioligarchien, nur dass hier die Genetik hinter dem Geld und dem Willen zur Kriminalität zurücksteht.