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Mathematics Preprint PDF DOI

Quantitative homogenization of the maximal action of curves in a Brownian potential

Felix Otto, Matteo Palmieri · 2026

Motivated by an optimal-matching problem (Leighton-Shor) and the random-field Ising model (Aizenman-Wehr, Ding-Wirth), we consider a variational problem for graphs in $1+1$ dimension maximizing an act…

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AI & Data Science Preprint PDF DOI

SceneSelect: Selective Learning for Trajectory Scene Classification and Expert Scheduling

Xinrun Wang, Deshun Xia, Ke Xu, Weijie Zhu · 2026

Accurate trajectory prediction is fundamentally challenging due to high scene heterogeneity - the severe variance in motion velocity, spatial density, and interaction patterns across different real-wo…

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AI & Data Science Preprint PDF DOI

Evaluating Remote Sensing Image Captions Beyond Metric Biases

Ziyun Chen, Fan Liu, Liang Yao, Chuanyi Zhang, Yuye Ma, Wei Zhou · 2026

The core objective of image captioning is to achieve lossless semantic compression from visual signals into textual modalities. However, the reliance on manually curated reference texts for evaluation…

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Physics Preprint PDF DOI

A new approach to dark photon

Jie Tang, Pei-Hong Gu · 2026

Over the past few decades, the hypothetically dark photon has been extensively studied from both phenomenological and experimental perspectives. It should be noted that the local symmetry for dark pho…

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Mathematics Preprint PDF DOI

An Upper Bound on the Linear Tur\'{a}n Number of $k$-Crowns

Rajat Adak · 2026

A hypergraph $H$ is said to be \emph{linear} if every pair of vertices lies in at most one hyperedge. Given a family $\mathcal{F}$ of $r$-uniform hypergraphs (also called $r$-graphs), an $r$-graph $H$…

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Mathematics Preprint PDF DOI

Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields

Alex Shvets · 2026

Raz, Shalyt, Leibtag, Kalisch, Weinbaum, Hadad, and Kaminer recently showed that formulas for $\pi$ can be organized by canonical polynomial recurrences and partially unified by a rank-$2$ Conservativ…

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Computer Science Preprint PDF DOI

SAIL: Scene-aware Adaptive Iterative Learning for Long-Tail Trajectory Prediction in Autonomous Vehicles

Bin Rao, Haicheng Liao, Chengyue Wang, Keqiang Li, Zhenning Li, Hai Yang · 2026

Autonomous vehicles (AVs) rely on accurate trajectory prediction for safe navigation in diverse traffic environments, yet existing models struggle with long-tail scenarios-rare but safety-critical eve…

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AI & Data Science Preprint PDF DOI

ART: Adaptive Relational Transformer for Pedestrian Trajectory Prediction with Temporal-Aware Relations

Ruochen Li, Ziyi Chang, Junyan Hu, Jiannan Li, Amir Atapour-Abarghouei, Hubert P. H. Shum · 2026

Accurate prediction of real-world pedestrian trajectories is crucial for a wide range of robot-related applications. Recent approaches typically adopt graph-based or transformer-based frameworks to mo…

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Physics Preprint PDF DOI

The VLBI spectrum of the persistent radio source associated with FRB 20190417A

G. Bruni, L. Piro, Y.-P. Yang, L. Nicastro, A. Rossi, E. Palazzi, E. Maiorano, S. Savaglio, B. Zhang · 2026

We aim to confirm the compact nature and constrain the radio spectra of candidate persistent radio sources (PRSs) associated with repeating fast radio bursts (FRBs). We performed European VLBI Network…

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Mathematics Preprint PDF DOI

Hilbert scheme of points on non-reduced nodal curves

Yuze Luan · 2026

We construct a stratification of the punctual Hilbert scheme of points on a non-reduced and nodal plane curve, $x^uy^v=0$. Each stratum is indexed by a new combinatorial object we define: a weak diago…

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AI & Data Science Preprint PDF DOI

Universal computational thermal imaging overcoming the ghosting effect

Hongyi Xu, Du Wang, Chenjun Zhao, Jiashuo Chen, Jiale Lin, Liqin Cao, Yanfei Zhong, Yiyuan She, Fanglin Bao · 2026

Thermal imaging is crucial for night vision but fundamentally hampered by the ghosting effect, a loss of detailed texture in cluttered photon streams. While conventional ghosting mitigation has relied…

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Mathematics Preprint PDF DOI

A counterexample to a conjecture of S\'ark\"ozy on sums and products modulo a prime

Quanyu Tang · 2026

Let $p$ be a prime and, for $A\subseteq \mathbb F_p$, define $A^\ast=(A+A)\cup(AA)$. S\'ark\"ozy conjectured that there exist constants $c>0$ and $p_0$ such that, for every prime $p>p_0$, every set $A…

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Physics Preprint PDF DOI

Towards Gravitational Wave Turbulence within the Hadad-Zakharov metric

Benoit Gay, Eugeny Babichev, Sebastien Galtier, Karim Noui · 2026

The theory of gravitational wave turbulence describes the long-term statistical behaviour of a set of weakly nonlinear interacting waves. In this paper, we aim to study aspects of gravitational turbul…

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Physics Preprint PDF DOI

Period-Luminosity Relations, projection factor and radii of Anomalous Cepheids

Piotr Wielgorski, Grzegorz Pietrzynski, Wolfgang Gieren, Bartlomiej Zgirski, Weronika Narloch, Gergely Hajdu, Jesper Storm, Nicolas Nardetto, Pierre Kervella, Bogumi{l} Pilecki, Marek Gorski, Rados{l}aw Smolec, Ricardo Salinas, Dariusz Graczyk, Vincent Hocde, Paulina Karczmarek, Monica Taormina, Wojciech Pych, Henryka Netzel, Rolf Chini, Klaus Hodapp, Miko{l}aj Ka{l}uszynski, Francisco Pozo Nunez, Krzysztof Kotysz, Dawid Mozdzierski, Przemys{l}aw Miko{l}ajczyk, Piotr Ko{l}aczek-Szymanski · 2026

Anomalous Cepheids are radially pulsating stars observed in dwarf galaxies, the Galactic bulge and halo, and globular clusters. Similarly to other radially pulsating stars, they can be used as distanc…

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AI & Data Science Preprint PDF DOI

TIGFlow-GRPO: Trajectory Forecasting via Interaction-Aware Flow Matching and Reward-Guided Optimization

Xuepeng Jing, Wenhuan Lu, Hao Meng, Zhizhi Yu, Jianguo Wei · 2026

Human trajectory forecasting is important for intelligent multimedia systems operating in visually complex environments, such as autonomous driving and crowd surveillance. Although Conditional Flow Ma…

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Engineering Preprint PDF DOI

SOMA: Strategic Orchestration and Memory-Augmented System for Vision-Language-Action Model Robustness via In-Context Adaptation

Zhuoran Li, Zhiyang Li, Kaijun Zhou, Jinyu Gu · 2026

Despite the promise of Vision-Language-Action (VLA) models as generalist robotic controllers, their robustness against perceptual noise and environmental variations in out-of-distribution (OOD) tasks …

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AI & Data Science Preprint PDF DOI

Fanar 2.0: Arabic Generative AI Stack

FANAR TEAM, Ummar Abbas, Mohammad Shahmeer Ahmad, Minhaj Ahmad, Abdulaziz Al-Homaid, Anas Al-Nuaimi, Enes Altinisik, Ehsaneddin Asgari, Sanjay Chawla, Shammur Chowdhury, Fahim Dalvi, Kareem Darwish, Nadir Durrani, Mohamed Elfeky, Ahmed Elmagarmid, Mohamed Eltabakh, Asim Ersoy, Masoomali Fatehkia, Mohammed Qusay Hashim, Majd Hawasly, Mohamed Hefeeda, Mus'ab Husaini, Keivin Isufaj, Soon-Gyo Jung, Houssam Lachemat, Ji Kim Lucas, Abubakr Mohamed, Tasnim Mohiuddin, Basel Mousi, Hamdy Mubarak, Ahmad Musleh, Mourad Ouzzani, Amin Sadeghi, Husrev Taha Sencar, Mohammed Shinoy, Omar Sinan, Yifan Zhang · 2026

We present Fanar 2.0, the second generation of Qatar's Arabic-centric Generative AI platform. Sovereignty is a first-class design principle: every component, from data pipelines to deployment infrastr…

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Mathematics Preprint PDF DOI

Hilbert cubes in sets with arithmetic properties

Ernie Croot, Junzhe Mao, Chi Hoi Yip · 2026

In this paper, we introduce new general frameworks for estimating the maximal dimension of Hilbert cubes contained in finite truncations of arbitrary sets. As applications, we investigate Hilbert cube…

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Computer Science Preprint PDF DOI

Correlation Bounds and Markov Analysis for Ring-Oscillator TRNGs: A Joint Validation Framework

Miguel Alcocer, Ana Isabel Gomez, Domingo Gomez-Perez · 2026

True Random Number Generators (TRNGs) based on ring oscillators require rigorous statistical validation to ensure cryptographic quality. While the Mauduit-S\'ark\"ozy $k$-th order correlation measure …

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AI & Data Science Preprint PDF DOI

Bilevel Layer-Positioning LoRA for Real Image Dehazing

Yan Zhang, Long Ma, Yuxin Feng, Zhe Huang, Fan Zhou, Zhuo Su · 2026

Learning-based real image dehazing methods have achieved notable progress, yet they still face adaptation challenges in diverse real haze scenes. These challenges mainly stem from the lack of effectiv…

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