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Mathematics Preprint PDF DOI

On centered local $\pi$-bases

Nathan Carlson ยท 2026

In 1967 Hajnal and Juh{\'a}sz showed that the cardinality of a first-countable Hausdorff space with the countable chain condition has cardinality at most $\mathfrak{c}$, the cardinality of the real liโ€ฆ

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Physics Preprint PDF DOI

Bound states of solitons in fiber lasers

Yudong Cui, Tianchang Lu, Yusheng Zhang, Dong Mao, Boris A. Malomed ยท 2026

This article presents a systematic review of theoretical and experimental findings for bound states of two and several dissipative solitons in fiber lasers. The theoretical basis underlying the formatโ€ฆ

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Physics Preprint PDF DOI

g-tensor Optimization in Ge/SiGe Quantum Dots

Aram Shojaei, Edmondo Valvo, Maximilian Rimbach-Russ, Eliska Greplova, Ana Silva ยท 2026

Planar germanium heterostructures hosting hole-spin qubits are among the leading platforms for scalable semiconductor-based quantum computing. Yet, device performance is hindered by significant quantuโ€ฆ

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Computer Science Preprint PDF DOI

Perfectly Private Over-the-Air Computation

Shudi Weng, Ming Xiao, Mikael Skoglund ยท 2026

This paper studies a key research question: how to achieve perfect privacy in over-the-air computation (AirComp)? The problem is particularly intriguing due to a dilemma. Real-field operations can ensโ€ฆ

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AI & Data Science Preprint PDF DOI

Repetition over Diversity: High-Signal Data Filtering for Sample-Efficient German Language Modeling

Ansar Aynetdinov, Patrick Haller, Alan Akbik ยท 2026

Recent research has shown that filtering massive English web corpora into high-quality subsets significantly improves training efficiency. However, for high-resource non-English languages like German,โ€ฆ

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Engineering Preprint PDF DOI

A MEC-Based Optimization Framework for Dynamic Inductive Charging

Emre Ak{i}skal{i}oglu, Mustafa Atmaca, Lorenzo Ghiro, Giovanni Perin, Renato Lo Cigno ยท 2026

Range anxiety and long recharging times remain critical barriers to electric vehicle adoption. Dynamic Inductive Charging (DIC) offers a compelling solution by enabling wireless power transfer while dโ€ฆ

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Physics Preprint PDF DOI

Topological Susceptibility and QCD at Finite Theta Angle

Claudio Bonanno, Claudio Bonati, Massimo D'Elia ยท 2026

In this chapter we provide a pedagogical introduction to the main theoretical aspects related to topology and $\theta$-dependence in Quantum Chromo-Dynamics (QCD), and to their phenomenological relevaโ€ฆ

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AI & Data Science Preprint PDF DOI

Shuffling-Aware Optimization for Private Vector Mean Estimation

Shun Takagi, Seng Pei Liew ยท 2026

We study $d$-dimensional unbiased mean estimation in the single-message shuffle model, where each user sends a single privatized message and the analyzer only observes the shuffled multiset of reportsโ€ฆ

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AI & Data Science Preprint PDF DOI

Response to: "A note on conditional densities, Bayes' rule, and recent criticisms of Bayesian inference" by Yan et al., 2026

Klaus Mosegaard, Andrew Curtis ยท 2026

In a recent preprint (Mosegaard and Curtis, 2024, arXiv:2411.13570v2) we analyzed the consequences of ignoring the well-known inconsistency of classical conditional probability densities. We explainedโ€ฆ

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Physics Preprint PDF DOI

Cosmological intercept tension

Jia-Qi Wang, Shao-Jiang Wang ยท 2026

The long-standing tension in the Hubble constant $H_0$ has motivated extensive explorations of both new physics and observational systematics, for example, the late-time systematics in measuring the Bโ€ฆ

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Mathematics Preprint PDF DOI

Frank-Wolfe Beyond 1/t Convergence

Sebastian Pokutta ยท 2026

We consider smooth convex minimization over compact convex sets, i.e., $\min_{x \in C} f(x)$ with the (vanilla) Frank-Wolfe algorithm. Well-known lower bounds establish a worst-case $\Omega(1/t)$ primโ€ฆ

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AI & Data Science Preprint PDF DOI

Latent-GRPO: Group Relative Policy Optimization for Latent Reasoning

Jingcheng Deng, Zihao Wei, Liang Pang, Junhong Wu, Shicheng Xu, Zenghao Duan, Huawei Shen ยท 2026

Latent reasoning offers a more efficient alternative to explicit reasoning by compressing intermediate reasoning into continuous representations and substantially shortening reasoning chains. However,โ€ฆ

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AI & Data Science Preprint PDF DOI

Exploring Interaction Paradigms for LLM Agents in Scientific Visualization

Jackson Vonderhorst, Kuangshi Ai, Haichao Miao, Shusen Liu, Chaoli Wang ยท 2026

This paper examines how different types of large language model (LLM) agents perform on scientific visualization (SciVis) tasks, where users generate visualization workflows from natural-language instโ€ฆ

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Physics Preprint PDF DOI

The status of theory in the electroweak sector: Radiative corrections, salient features, approximations

Stefan Dittmaier ยท 2026

Electroweak radiative corrections form a crucial ingredient in modern precision calculations for particle processes at high-energy colliders such as the Large Hadron Collider. The salient features of โ€ฆ

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Physics Preprint PDF DOI

Discontinuous BBP transitions

Dario Bocchi, Giulio Biroli, Chiara Cammarota, Federico Ricci-Tersenghi ยท 2026

The Baik-Ben Arous-Peche (BBP) transition sets fundamental limits for detecting low-rank structure in noisy high-dimensional data and underlies a wide range of spectral methods in many fields from phyโ€ฆ

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Physics Preprint PDF DOI

Applications of 1.4 GHz diagnostics to Type Ia Supernova host galaxies

S. Ramaiya, M. J. Jarvis, M. Vincenzi, M. Sullivan, I. H. Whittam ยท 2026

Type Ia supernova (SN Ia) standardisation parameters exhibit evidence for systematic variation across the host galaxy star-formation rate - stellar mass (SFR$-M_\star$) plane, motivating the incorporaโ€ฆ

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AI & Data Science Preprint PDF DOI

Dynamic Scaled Gradient Descent for Stable Fine-Tuning for Classifications

Nghia Bui, Lijing Wang ยท 2026

Fine-tuning pretrained models has become a standard approach to adapting pretrained knowledge to improve the accuracy on new sparse, imbalance datasets. However, issues arise when optimization falls iโ€ฆ

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Computer Science Preprint PDF DOI

Exploring Sparse Matrix Multiplication Kernels on the Cerebras CS-3

Milan Shah, Sheng Di, Michela Becchi ยท 2026

In recent years, novel AI accelerators have emerged as promising alternatives to GPU for AI model training and inference tasks. One such accelerator, the Cerebras CS-3, achieves strong performance on โ€ฆ

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Mathematics Preprint PDF DOI

The transverse singular complex

Greg Friedman, Anibal M. Medina-Mardones, Dev Sinha ยท 2026

Let $M$ be a smooth manifold without boundary and let $\mathcal{T}$ be a countable collection of manifolds with corners, each equipped with a smooth map to $M$. We show that the singular simplicial seโ€ฆ

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Computer Science Preprint PDF DOI

Distributed Santa Claus via Global Rounding

Tijn de Vos, Leo Wennmann, Malte Baumecker, Yannic Maus, Florian Schager ยท 2026

In this paper, we consider the Santa Claus problem in the CONGEST model. This NP-hard problem can be modeled as a bipartite graph of children and gifts where an edge indicates that a child desires a gโ€ฆ

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