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World Cup 2026 preview: Groups A-D – Football Weekly

Max Rushden is joined by Barry Glendenning, Lars Sivertsen, Mark Langdon, Ewan Murray and Jack Snape to preview Groups A-D including Scotland and BrazilRate, review, share on Apple Podcasts and join the conversation on email. On the podcast today; the first of our World Cup previews. Four groups per podcast in alphabetical order.

The Guardian Sport 2d ago

World Cup 2026 preview: Groups A-D – Football Weekly

Max Rushden is joined by Barry Glendenning, Lars Sivertsen, Mark Langdon, Ewan Murray and Jack Snape to preview Groups A-D including Scotland and BrazilRate, review, share on Apple Podcasts and join the conversation on email. On the podcast today; the first of our World Cup previews. Four groups per podcast in alphabetical order.

The Guardian UK 2d ago

Minimax Optimal Strategy for Delayed Observations in Online Reinforcement Learning

arXiv:2603.03480v2 Announce Type: replace Abstract: We study reinforcement learning with delayed state observation, where the agent observes the current state after some random number of time steps. We propose an algorithm that combines the augmentation method and the upper confidence bound approach. For tabular Markov decision processes (MDPs), we derive a regret bound of $\tilde{\mathcal{O}}(H \sqrt{D_{\max} SAK})$, where $S$ and $A$ are the cardinalities of the state and action spaces,...

arXiv CS 7d ago

Asymptotic Recovery in Fourier Spectral Methods for the Schr\"odinger Equation with Point Singularities

arXiv:2606.01718v1 Announce Type: new Abstract: This paper studies the Fourier spectral method (FSM) for the Schr\"odinger equation with singular potentials $V \in H^{s}$, where $s > \max\{d/2-2,-1\}$ and $d$ denotes the spatial dimension. This setting includes a broad class of singular potentials, such as the 3D Coulomb potential and the 1D Dirac-delta potential.

arXiv CS 8d ago

Pinning on Tight Cuts: Improved Algorithm and Bounds for Unsplittable Multicommodity Flows in Outerplanar Graphs

arXiv:2606.04456v1 Announce Type: new Abstract: The multicommodity flow problem in an undirected capacitated graph $G$ is specified by a set of source-sink pairs with nonnegative demands. A flow is feasible if it routes all demands without exceeding the edge capacities, and it is unsplittable if it routes each demand along a single path. Let $\alpha$ be the smallest value such that the existence of a feasible flow implies the existence of an unsplittable flow that exceeds the edge capacities...

arXiv CS 6d ago

Incremental Sheaf Cohomology on Cellular Complexes: O(1)-in-n Lazy Edit Processing under Bounded Local Geometry

arXiv:2606.04227v2 Announce Type: replace Abstract: We present an algorithmic framework for incremental maintenance of first sheaf cohomology $H^1(X; \mathcal{F})$ on dynamically evolving 1-dimensional cellular complexes equipped with finite-dimensional cellular sheaves. The classical computation of $H^1$ via factorization of the coboundary matrix requires $O(n^3)$ time; when the complex evolves with a stream of $m$ edits, full recomputation after each edit costs $O(mn^3)$. Under a bounded...

arXiv CS 1d ago

Incremental Sheaf Cohomology on Cellular Complexes: O(1)-in-n Lazy Edit Processing under Bounded Local Geometry

new Abstract: We present an algorithmic framework for incremental maintenance of first sheaf cohomology $H^1(X; \mathcal{F})$ on dynamically evolving 1-dimensional cellular complexes equipped with finite-dimensional cellular sheaves. The classical computation of $H^1$ via factorization of the coboundary matrix requires $O(n^3)$ time; when the complex evolves with a stream of $m$ edits, full recomputation after each edit costs $O(mn^3)$. Under a bounded local geometry assumption -- bounded...

arXiv CS 6d ago

SEE IT: House floor erupts after GOP lawmaker accuses Tlaib of Hezbollah ties

The House floor erupted into chaos Wednesday after Rep. Max Miller, R-Ohio, accused Rep. Rashida Tlaib, D-Mich., of having ties to terrorist groups, including Hezbollah. The shouting match came during a heated debate over a resolution that would force President Donald Trump to withdraw U.S. forces from Lebanon. Tlaib, a progressive lawmaker and member of the Squad, is expected to force a vote on the measure Thursday, arguing that the United States should not assist Israel’s war in Lebanon.

Fox News 6d ago

SEE IT: House floor erupts after GOP lawmaker accuses Tlaib of Hezbollah ties

The House floor erupted into chaos Wednesday after Rep. Max Miller, R-Ohio, accused Rep. Rashida Tlaib, D-Mich., of having ties to terrorist groups, including Hezbollah. The shouting match came during a heated debate over a resolution that would force President Donald Trump to withdraw U.S. forces from Lebanon. Tlaib, a progressive lawmaker and member of the Squad, is expected to force a vote on the measure Thursday, arguing that the United States should not assist Israel’s war in Lebanon.

Fox News Politics 6d ago

Coherent Swap Regret and Channel-Proof Learning

arXiv:2606.02655v1 Announce Type: cross Abstract: External regret certifies stability only against replacing one's behavior by a fixed alternative. In a quantum game, this misses a natural physical move: a player can apply a local completely positive trace-preserving (CPTP) map to the state it actually received or prepared.

arXiv CS 7d ago