L.A.
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Related Articles from SNS
Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness
arXiv:2509.08726v3 Announce Type: replace-cross Abstract: This paper focuses on the decentralized stochastic optimization problem $f(\mathbf{x})=\frac{1}{m}\sum_{i=1}^m f_i(\mathbf{x})$ over a connected network of $n$ agents, where each local function has the form of $f_i(\mathbf{x}) = {\mathbb E}\left[F(\mathbf{x};{\boldsymbol \xi}_i)\right]$ which satisfies the $(L_0,L_1)$-smooth condition but possibly nonconvex and each random variable ${\boldsymbol \xi}_i$ follows distribution ${\mathcal...
World Cup Group L guide
World Cup 2026 Group L guide - fixtures, schedule, standings and odds for England, Croatia, Ghana and Panama World Cup Group L includes England, Croatia, Ghana and Panama; Thomas Tuchel's Three Lions begin against Croatia on June 17 in Arlington, Texas - kick-off 9pm BST; England then face Antoine Semenyo's Ghana before ending group against Panama Tuesday 2 June 2026 13:43, UK World Cup Group L features Thomas Tuchel's England as they face Croatia, Ghana and Panama. World Cup Group L...
Extreme $L_p$ discrepancy, numerical integration and the curse of dimensionality
arXiv:2602.19760v3 Announce Type: replace Abstract: The classical notion of extreme $L_p$ discrepancy is a quantitative measure for the irregularity of distribution of finite point sets in the $d$-dimensinal unit cube. In this paper we find a dual integration problem whose worst-case error is exactly the extreme $L_p$ discrepancy of the underlying integration nodes. Studying this integration problem we show that the extreme $L_p$ discrepancy suffers from the curse of dimensionality for all...
Genetic basis of glycine and L-serine toxicity in Staphylococcus aureus and the case for glycine as an antibiotic adjuvant
The toxicity of the amino acids glycine and L-serine at high concentrations in bacteria was discovered decades ago. In this work, we used deep transposon insertion sequencing (Tn-seq) experiments to determine the genes necessary to tolerate excess L-serine, diglycine or glycine in the human pathogen Staphylococcus aureus. Our results indicate that intracellular accumulation of specific counterbalancing amino acids--such as alanine in excess glycine--is the primary mechanism of resistance to...
Non-existence of Information-Geometric Fermat Structures: Violation of Dual Lattice Consistency in Statistical Manifolds with $L^n$ Structure
Announce Type: replace Abstract: This paper reformulates Fermat's Last Theorem as an embedding problem of information-geometric structures. We reinterpret the Fermat equation as an $n$-th moment constraint, constructing a statistical manifold $\mathcal{M}_n$ of generalized normal distributions via the Maximum Entropy Principle. By Chentsov's Theorem, the natural metric is the Fisher information metric ($L^2$); however, the global structure is governed by the $L^n$ moment constraint.
Numerical analysis of the second-order time-dependent saddle point Maxwell system via a parameter-free discontinuous Galerkin method: The first optimal ${\bf L}^{2}$-norm error estimates
Announce Type: new Abstract: We present a novel parameter-free discontinuous Galerkin (dG) finite element method (FEM) for the time-dependent Maxwell system formulated as a saddle point problem. We establish the stability of the proposed semi-discrete problem and derive optimal error estimates in energy and \( {\bf L}^{2} \) norms for the electric field variable, as well as in \( L^{2} \) norm for the potential function. To the best of our knowledge, this work provides the first optimal \(...
Infinite sequences with optimal diaphony, periodic $L_2$-discrepancy, and beyond
arXiv:2606.05482v1 Announce Type: new Abstract: We investigate the periodic $L_2$-discrepancy of infinite sequences $\S_d$ in $[0,1)^d$ and its analytic counterpart, the diaphony. We prove that infinite order-2 digital sequences over $\mathbb{F}_2$ attain the optimal order $L_{2,N}^{{\rm per}}(\S_d) \le C_d (\log N)^{d/2}/N$ for all $N \in \mathbb{N}\setminus \{1\}$, matching known lower bounds for infinitely many $N \in \mathbb{N}$.
Efficient Multi-Agent Optimization of Optical Power in S+C+L-Band Systems
Electrical Engineering and Systems Science > Systems and Control [Submitted on 4 Jun 2026] Title:Efficient Multi-Agent Optimization of Optical Power in S+C+L-Band Systems View PDF HTML (experimental)Abstract:We propose an AI Agent tailored for link power management in multi-band systems. In S+C+L band span-level study, the agent efficiently solves various optimization objectives.
Strategyproof Mechanisms for Euclidean Facility Location Problems under $L_p$-norm Social Cost
arXiv:2606.08621v1 Announce Type: new Abstract: We study strategyproof mechanisms for eliciting agents' location preferences truthfully in the Euclidean plane $\mathbb R^2$ and locating a facility so as to minimize the $L_p$-norm social cost, defined as the $L_p$-norm of the vector of distances from the facility to the agents' preferred locations, for any $p \ge 1$. While the cases $p=1$ and $p=\infty$ have been well-studied, open questions remain about the optimal approximation ratios...