The theory enables a systematicclassification of all existing G-CNNs in terms of their symmetry group, base space,andfieldtype.

In addition, we present an alternative design that permits a near-optimal sublinear decoding timeofO(klog2k+klogn).

Apple could unveil Gemini-powered Siri in Feb. Apple Creator Studio is now available: What's included, how much it costs and what it means for creators The new subscription bundle is now available for $13 per month or $129 per year. Apple has been leaning harder on services for several years now. That part of the business brought in tens of billions of dollars in revenue last year alone, and the company says 2025 was a record year . With Apple Creator Studio, Apple is extending that strategy further into professional creative software. Apple Creator Studio is a new subscription bundle that packages several of the company's pro apps under a single monthly or yearly fee.

Save on Petlibro essentials, including automatic feeders, water fountains, and accessories to keep cats and dogs fed, hydrated, and comfortable every day. As the pet tech writer here on the WIRED Reviews team, I've tested over 100 pet-related products, including automatic pet feeders, pet water fountains, and pet cameras . The one brand I keep buying for myself--and recommending to friends and family with pets--is Petlibro. Petlibro dominates the game when it comes to high-tech, seamlessly designed automatic feeders and pet fountains . Most of their products have a connected app to make pet parenting easier, whether you're near or far.

Join our livestream -- and pose a question to WIRED's panel of experts -- on China's dominance, influence, and how it is rewriting the future. Whether you realize it or not, you're already living in the Chinese century. From batteries to milk to electric vehicles, China is undoubtably doing it better--while the rest of us kick our feet up and watch. China is soaring ahead of the US in a space race called by Trump; China is putting up buildings in a day's time; China is light-years ahead of the rest of the world when it comes to solar energy. Our upcoming China Issue will lay it all out: the robotics explosion, the energy revolution, the cultural takeover.

We introduce a novel co-learning paradigm for manifolds naturally admitting an action of a transformation group $\mathcal{G}$, motivated by recent developments on learning a manifold from attached fibre bundle structures. We utilize a representation theoretic mechanism that canonically associates multiple independent vector bundles over a common base manifold, which provides multiple views for the geometry of the underlying manifold. The consistency across these fibre bundles provide a common base for performing unsupervised manifold co-learning through the redundancy created artificially across irreducible representations of the transformation group. We demonstrate the efficacy of our proposed algorithmic paradigm through drastically improved robust nearest neighbor identification in cryo-electron microscopy image analysis and the clustering accuracy in community detection.