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Mathematics Preprint PDF DOI

Berge $k$-Factors of Regular Hypergraphs

Mikio Kano, Shun-ichi Maezawa, Akira Saito, Kiyoshi Yoshimoto · 2026

A Berge $k$-factor in a hypergraph is a generalization of a $k$-factor in a graph. In this paper, we study the problem of determining the values $k$ such that every $\lambda$-edge-connected $r$-regula…

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Sociology & Anthropology Preprint PDF DOI

Two-Dimensional Structural Characterization of Music Genre Communities in Playlist Co-occurrence Networks

Makoto Takeuchi · 2026

Music genre classification shapes how listeners discover music, how platforms design recommendations, and how sociologists study cultural taste. Yet existing genre labels are inconsistent in granulari…

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AI & Data Science Preprint PDF DOI

Observable Neural ODEs for Identifiable Causal Forecasting in Continuous Time

Jennifer Wendland, Nicolas Freitag, Maik Kschischo · 2026

Causal inference in continuous-time sequential decision problems is challenged by hidden confounders. We show that, in latent state-space models with time-varying interventions, observability of the l…

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Physics Preprint PDF DOI

Gauging Axionic Symmetries and Dark Matter: In memory of George Lazarides

Claudio Coriano · 2026

These notes are written for a memorial Session dedicated to George Lazarides. They revisit a joint work on the cosmology of a gauged axion and place it in a broader line of ideas connecting anomalous …

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Mathematics Preprint PDF DOI

A gerbe-like construction in gauge theory II: the case of homology tori

Mitsuyoshi Adachi · 2026

In the previous paper, the author showed that for a smooth family $X \to \mathbb{X} \to B$ of a homotopy $K3$ surface, the obstruction for the tangent bundle along the fibers $T_B \mathbb{X}$ to have …

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Physics Preprint PDF DOI

With arms wide open: a VLT/MUSE view of the mechanisms driving unwinding spiral arms in cluster galaxies

Augusto E. Lassen (INAF--OAPd), Benedetta Vulcani, Jacopo Fritz, Bianca M. Poggianti, Antonino Marasco, Yara Jaffe, Marco Gullieuszik, Alessia Moretti, Mario Radovich, Rory Smith, Stephanie Tonnesen, Neven Tomicic, Koshy George, Alessandro Ignesti, Luka Matijevic, Eric Giunchi · 2026

The environmental mechanisms driving unwinding spiral arms in cluster galaxies remain debated. While earlier studies attributed it mainly to gravitational interactions, recent works suggest that RPS a…

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AI & Data Science Preprint PDF DOI

Weakly Supervised Multicenter Nancy Index Scoring in Ulcerative Colitis Using Foundation Models

Adam Kukucka, Ondrej Fabian, Vit Musil, Tomas Brazdil · 2026

Histologic assessment of ulcerative colitis (UC) activity is an important endpoint in clinical trials and routine care, but manual grading with indices such as the Nancy histological index (NHI) is ti…

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Physics Preprint PDF DOI

Matched asymptotics of Rayleigh-wave fields near cuspidal ridges and gorges

Oleg Kiselev · 2026

We construct a local matched-asymptotic description of time-harmonic elastic fields generated by Rayleigh waves near cuspidal elements of a traction-free surface. The free surface is represented local…

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AI & Data Science Preprint PDF DOI

Learning Dynamic Representations and Policies from Multimodal Clinical Time-Series with Informative Missingness

Zihan Liang, Ziwen Pan, Ruoxuan Xiong · 2026

Multimodal clinical records contain structured measurements and clinical notes recorded over time, offering rich temporal information about the evolution of patient health. Yet these observations are …

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Earth & Environmental Sciences Preprint PDF DOI

Localization of fast and slow slip in fault gouge and fracture energy scaling

Dmitry I. Garagash, Alice-Agnes Gabriel · 2026

The localization of slow and fast slip in fault gouges may play a crucial role in understanding the mechanics of earthquakes and slow slip events. Here, we investigate the fracture energy accompanying…

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Mathematics Preprint PDF DOI

Widely degenerate anisotropic diffusion: local boundedness and semicontinuity

Pasquale Ambrosio, Simone Ciani, Giovanni Cupini · 2026

We investigate the regularity of local weak solutions to evolution equations of the form \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\,\partial_{x_{i}}\left[a_{i}(x,t)\,(\vert\partial_{x_{i}}u\vert-\delta_{i})…

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AI & Data Science Preprint PDF DOI

Clinically Interpretable Sepsis Early Warning via LLM-Guided Simulation of Temporal Physiological Dynamics

Weizhi Nie, Zhen Qu, Weijie Wang, Chunpei Li, Ke Lu, Bingyang Zhou, Hongzhi Yu · 2026

Timely and interpretable early warning of sepsis remains a major clinical challenge due to the complex temporal dynamics of physiological deterioration. Traditional data-driven models often provide ac…

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AI & Data Science Preprint PDF DOI

Structure-Aware Variational Learning of a Class of Generalized Diffusions

Yubin Lu, Xiaofan Li, Chun Liu, Qi Tang, Yiwei Wang · 2026

Learning the underlying potential energy of stochastic gradient systems from partial and noisy observations is a fundamental problem arising in physics, chemistry, and data-driven modeling. Classical …

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Mathematics Preprint PDF DOI

Split merge dynamics for expanding intervals and point processes on the real line

Serge Cohen (IMT), Shambo Saha · 2026

We study sequences of partitions of a non decreasing sequence I n of intervals into subintervals, starting from the trivial partition, in which each partition is obtained from the one before by splitt…

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AI & Data Science Preprint PDF DOI

Train Separately, Merge Together: Modular Post-Training with Mixture-of-Experts

Jacob Morrison, Sanjay Adhikesaven, Akshita Bhagia, Matei Zaharia, Noah A. Smith, Sewon Min · 2026

Extending a fully post-trained language model with new domain capabilities is fundamentally limited by monolithic training paradigms: retraining from scratch is expensive and scales poorly, while cont…

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Mathematics Preprint PDF DOI

Generalized Tur\'an problems for Berge hypergraphs

Xiamiao Zhao, Xin Cheng, Daniel Gerbner · 2026

Let $\mathcal{H}$ be a hypergraph and $F$ be a graph. If there exists a bijection between the hyperedges of $\mathcal{H}$ and the edges of $F$ such that each hyperedge contains its image, then we sa…

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Earth & Environmental Sciences Preprint PDF DOI

Modeling Utah FORGE 2022 EGS Hydraulic Stimulations: Tensile Hydraulic Fractures versus Fluid-Induced Dilatant Shear Ruptures

Sylvain Brisson, Brice Lecampion · 2026

We investigate two hydraulic stimulation stages performed in April 2022 at the Utah FORGE enhanced geothermal system test site using analytical and numerical models for tensile hydraulic fractures and…

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AI & Data Science Preprint PDF DOI

LLM-Extracted Covariates for Clinical Causal Inference: Rethinking Integration Strategies

Lei Liu, Jialin Chen, Kathy Macropol · 2026

Causal inference from electronic health records (EHR) is fundamentally limited by unmeasured confounding: critical clinical states such as frailty, goals of care, and mental status are documented in f…

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AI & Data Science Preprint PDF DOI

C-GenReg: Training-Free 3D Point Cloud Registration by Multi-View-Consistent Geometry-to-Image Generation with Probabilistic Modalities Fusion

Yuval Haitman, Amit Efraim, Joseph M. Francos · 2026

We introduce C-GenReg, a training-free framework for 3D point cloud registration that leverages the complementary strengths of world-scale generative priors and registration-oriented Vision Foundation…

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Mathematics Preprint PDF DOI

A fractional De Giorgi isoperimetric type inequality

Matteo Cozzi, Tomas Sanz-Perela · 2026

We establish an isoperimetric type inequality for the level sets of functions in fractional Sobolev spaces. This answers a question posed by the first author in a previous paper. To obtain it, we work…

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