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World Cup Group G guide
World Cup 2026 Group G guide - fixtures, schedule, standings and odds for Belgium, Egypt, Iran and New Zealand World Cup Group G includes Belgium, Egypt, Iran and New Zealand; matches will take place in US cities Seattle and Los Angeles and in Canada's Vancouver Tuesday 2 June 2026 13:27, UK World Cup Group G features Belgium, Egypt, Iran and New Zealand. World Cup Group G fixtures All kick-off times are BST World Cup Group G table World Cup Group G supercomputer prediction Belgium guide...
Algebraic Diversity: Group-Theoretic Spectral Estimation from Single Observations
arXiv:2604.03634v5 Announce Type: replace Abstract: We establish that temporal averaging over multiple observations is the degenerate case of algebraic group action with the trivial group $G=\{e\}$. A General Replacement Theorem proves that a group-averaged estimator from one snapshot achieves equivalent subspace decomposition to multi-snapshot covariance estimation. The Trivial Group Embedding Theorem proves that the sample covariance is the accumulation of trivial-group estimates, with...
Neural Networks Provably Learn Spectral Representations for Group Composition
arXiv:2606.02993v1 Announce Type: new Abstract: Understanding how structured internal structure emerges during neural network training is central to the study of deep learning. We investigate this phenomenon through the group composition task, where a two-layer neural network is trained to predict $g_1 \star g_2$ for elements of a finite group $G$. By lifting the projected gradient flow to the Fourier domain, we demonstrate that the training dynamics are governed by a Riemannian gradient...
Exact equivariance, kept through training, buys zero-shot generalisation across the symmetry group
arXiv:2606.03003v1 Announce Type: new Abstract: A latent world model built from an equivariant encoder $E$ and an equivariant predictor $f$ inherits a provable symmetry of its training loss: when the world's dynamics genuinely carries a group $G$ acting on latents by an orthogonal representation $\rho(g)$, the one-step prediction relMSE is exactly invariant across the whole group, so fitting the dynamics on a restricted slice of orientations mathematically determines it on the entire orbit...
Viral Kiwi star meets Argentine influencer who boosted following to 5M
New Zealand soccer player Tim Payne has met social media influencer Valen Scarsini after the Argentine encouraged his fans to follow the unheralded All Whites player. Since Scarsini's plea to his fans, Payne's followers on Instagram have risen from 5,000 to over 5 million. New Zealand opens its Group G play at the World Cup against Iran on June 15 in Inglewood, California.
Belgium game will be difficult in a highly competitive group, says Egypt's coach
Belgium game will be difficult in a highly competitive group, says Egypt's coach June 7 : Egypt's coach Hossam Hassan sees the opening match in the World Cup against Belgium as the most difficult game in the "highly competitive" group G. Egypt lost 2-1 to five-times champion Brazil in Cleveland on Sunday, in their final warm-up friendly ahead of their fourth appearance in the World Cup. Newcastle midfielder Bruno Guimaraes scored the opening goal early from inside the box and Lyon forward
FIFA to allow plastic water bottles at World Cup after backlash over ban
Water bottles are thrown onto the pitch during the FIFA World Cup Group G match at Stadium 974 in Doha, Qatar. Picture date: Friday December
'What next - sun cream?': Fans banned from taking water bottles into World Cup games
Water bottles are thrown onto the pitch during the FIFA World Cup Group G match at Stadium 974 in Doha, Qatar. Picture date: Friday December
Structures preserved by primitive actions of $S_\omega$
arXiv:2501.03789v4 Announce Type: replace-cross Abstract: We present a dichotomy for structures $A$ that are preserved by primitive actions of $S_{\omega} = \text{Sym}({\mathbb N})$: such a structure primitively positively constructs all finite structures and the constraint satisfaction problem is NP-complete, or the constraint satisfaction problem for $A$ is in P. To prove our result, we study the first-order reducts of the Johnson graph $J(k)$, for $k \geq 2$, whose automorphism group $G$...
Iran says US revoked World Cup ticket allocation for supporters
Iran says ticket allocation for World Cup withdrawn days before tournament June 9 : Iran's football federation said on Tuesday its ticket allocation had been pulled just days before the World Cup starts, leaving supporters who had already made travel plans unable to attend their team's matches. The World Cup begins on Thursday, with Iran playing their first two Group G games in Los Angeles, against New Zealand on June 15 and Belgium on June 21, and then facing Egypt in Seattle on June 26. In...