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Sheaf Neural Networks on SPD Manifolds: Second-Order Geometric Representation Learning
arXiv:2604.20308v2 Announce Type: replace Abstract: Graph neural networks face two fundamental challenges rooted in the linear structure of Euclidean vector spaces: (1) Current architectures represent geometry through vectors (directions, gradients), yet many tasks require matrix-valued representations that capture relationships between directions-such as how atomic orientations covary in a molecule. These second-order representations are naturally captured by points on the symmetric...
An algebraic multiscale preconditioner for large sparse SPD matrices
new Abstract: We present a two-grid algebraic multiscale preconditioner for large sparse symmetric positive definite systems arising from elliptic problems with highly heterogeneous coefficients. The coarse space is constructed directly from the system matrix by graph partitioning and local generalized eigenvalue solvers, yielding basis functions that capture the low-energy modes responsible for slow convergence. The method requires no geometric information, making it suitable for...
Routing on the Stiefel Manifold: When Does Adaptive Subspace Selection Help for Cross-Domain EEG Decoding?
arXiv:2605.31043v1 Announce Type: cross Abstract: Cross-domain EEG decoding remains challenging despite advances in Riemannian deep learning: covariance matrices from different subjects occupy systematically distinct regions of the SPD manifold, yet existing domain adaptation methods either require target-domain calibration data or learn subject-specific components that cannot generalise across domains. We propose dynamic Stiefel routing: a pool of $K$ expert projection filters on the...
'Crime hotspots': how to tackle knife attacks and other violence at German stations
SPD and CDU politicians say many people, including staff, feel unsafe at German train stations. A criminologist explains why violence is higher there. At Frankfurt am Main central station, Deutsche Bahn also warns passengers on board trains about pickpockets.
'Crime hotspots': how to tackle knife attacks and violence at German stations
Politicians from the SPD and CDU also warn that many people no longer feel safe at Germany’s railway stations, including staff. A criminologist explains why violence is more common there than elsewhere. At Frankfurt am Main central station, Deutsche Bahn also warns passengers on board trains about pickpockets.
Germany sees record number of naturalisations in 2025
From 2027, local authorities expect a wave of citizenship applications from Ukrainian nationals living in Germany. The number of naturalisations in Germany has risen to a new record high, with 332,500 people acquiring German citizenship in 2025. Compared with the previous year, that marks an increase of 14 percent, according to the Federal Statistical Office.
Speculative Pipeline Decoding: Higher-Accruacy and Zero-Bubble Speculation via Pipeline Parallelism
arXiv:2605.30852v1 Announce Type: new Abstract: Speculative Decoding (SD) accelerates low-concurrency LLM inference by employing a draft-then-verify paradigm. However, mainstream methods typically rely on multi-token prediction, which introduces escalating prediction difficulty and serial drafting latency.
Germany news: Far-right AfD makes push in district elections
Far-right AfD makes push in district elections Published June 6, 2026last updated June 7, 2026What you need to know - The far-right Alternative for Germany (AfD) party is fielding candidates in three district elections - Another far-right party could win a mayoral runoff in Saxony - Merz to join Zelenskyy, Macron in London for talks with UK's Starmer - More than 300,000 visitors turned out for German Armed Forces Day - Politically motivated crimes reached a new high in 2025, Welt am Sonntag...
Germany news: Far-right push in low-key eastern elections
Far-right push in low-key eastern elections Published June 6, 2026last updated June 7, 2026What you need to know - The far-right Alternative for Germany (AfD) is fielding candidates in three district elections - Another far-right party could win a mayoral runoff in Saxony - Merz to join Zelenskyy, Macron in London for talks with UK's Starmer - More than 300,000 visitors turned out for German Armed Forces Day - Politically motivated crimes reached a new high in 2025, Welt am Sonntag reported...
Porting the ThinkPad X61 to Coreboot
Porting the ThinkPad x61 to coreboot Table of Contents An introduction to my IBM/Lenovo ThinkPad addiction Over 10 years ago I got my first ThinkPad x60. I got interested in free software by reading the about GNU page in the GNU Emacs editor. Free software back then and certainly now is quite usable, typically without much closed-source software.