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Related Articles from SNS
S2M-Trek: From Single to Multi-Sphere Transport via Per-Frame Deep Sets on a Wheel-Legged Robot
new Abstract: We study the problem of scaling dynamic loco-manipulation from a single free-rolling sphere to multiple spheres transported simultaneously on the back of a wheel-legged quadruped, without fences, grippers, or mechanical stops. Multiple identical free-rolling spheres form an unordered set with no persistent identity: their ordering may change independently at each history frame, creating a \emph{per-frame permutation symmetry} that standard history-concatenation set encoders do...
Approximation of the L\'evy-driven stochastic heat equation on the sphere
Announce Type: replace-cross Abstract: The stochastic heat equation on the sphere driven by an additive square-integra\-ble L\'evy process is approximated by a spectral method in space and forward and backward Euler--Maruyama schemes in time. New regularity results are proven for its solution.
Progress in Formalizing Sphere Packing in Dimension 8
arXiv:2604.23468v3 Announce Type: replace-cross Abstract: In 2016, Viazovska famously solved the sphere packing problem in dimension $8$, using modular forms to construct a 'magic' function satisfying optimality conditions determined by Cohn and Elkies in 2003. In March 2024, Hariharan and Viazovska launched a project to formalize this solution and related mathematical facts in the Lean Theorem Prover. A significant milestone was achieved in February 2026: the result was formally verified,...
On the Role of the Double Fourier Sphere Method in Fast Algorithms on SO(3)
arXiv:2602.06677v3 Announce Type: replace Abstract: We analyze the Double Fourier Sphere (DFS) method on the rotation group $\mathcal{SO}(3)$ in the frequency domain and demonstrate its central role in fast algorithms. Fast Fourier algorithms on $\mathcal{SO}(3)$ are commonly formulated as a Wigner transform - mapping harmonic to Fourier coefficients - followed by a Fourier transform. We revisit this formulation and interpret the Wigner transform as an explicit realization of the DFS method,...
Tight list replicability bounds via a novel sphere covering theorem
arXiv:2606.06148v1 Announce Type: new Abstract: In recent years, list replicability has emerged as a framework for formalizing reproducibility in learning theory. A central question is how the required list size relates to the accuracy parameter and natural complexity measures of the hypothesis class.
An Integrating Sphere Based Method for Quantifying RNA Encapsulation Efficiency in Lipid Nanoparticles without Lysis
Encapsulation efficiency (EE) is a critical quality attribute of lipid nanoparticle (LNP)-RNA formulations, determining the fraction of active RNA payload available for delivery and influencing therapeutic potency, dose accuracy, and product consistency. Conventional fluorescence-based EE assays, such as RiboGreen (RG), require detergent-mediated LNP lysis, which can introduce systematic bias arising from incomplete particle disruption and additional sample handling steps. Here, we report a...
MediaTek Pledges Hiring Spree to Boost Push Into New AI Spheres
MediaTek is helping to power Nvidia Corp.’s new Spark chip.
Finding Kissing Numbers with Game-theoretic Reinforcement Learning
arXiv:2511.13391v4 Announce Type: replace Abstract: Since Isaac Newton first studied the Kissing Number Problem in 1694, determining the maximal number of non-overlapping spheres around a central sphere has remained a defining challenge in discrete geometry. As the local analogue of Hilbert's 18th problem, it has profound implications across geometry, number theory and information theory. Although lattices and codes have achieved significant progress, the field is confined to isolated...
'I ordered 2 drinks in Las Vegas and couldn't believe the price they cost'
'I ordered 2 drinks in Las Vegas and couldn't believe the price they cost' A tourist was left gobsmacked after ordering two drinks at the Sphere in Las Vegas, which sparked widespread debate about exorbitant drink prices in the tourist destination A holidaymaker was left stunned after ordering two drinks at a popular Las Vegas venue – only to be hit with an eye-watering bill. The city of Las Vegas is a globally adored destination, pulling in visitors with its blend of opulent, high-roller...