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AI & Data Science Preprint PDF DOI

Continuous-tone Simple Points: An $\ell_0$-Norm of Cyclic Gradient for Topology-Preserving Data-Driven Image Segmentation

Wenxiao Li, Faqiang Wang, Yuping Duan, Li Cui, Liqiang Zhang, Jun Liu · 2026

Topological features play an essential role in ensuring geometric plausibility and structural consistency in image analysis tasks such as segmentation and skeletonization. However, integrating topolog…

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Physics Preprint PDF DOI

Beyond the Separatrix: Analytic Continuation of Darwin Variables for Plunging Geodesics in Schwarzschild Spacetime

Francisco M. Blanco · 2026

We study geodesic motion of a test particle in Schwarzschild spacetime. Bound and scattering geodesics are commonly described using Darwin variables, which provide a convenient parametrization of the …

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Mathematics Preprint PDF DOI

Noise-induced enhancement of regime lifetimes -- A data-driven approach using deterministic trajectories

Henry Schoeller, Robin Chemnitz, Peter Koltai, Maximilian Engel, Stephan Pfahl · 2026

We investigate the lifetime of dynamical regimes under the impact of noise motivated by low-dimensional models of the atmosphere. One may expect that the inclusion of noise tends to make the system le…

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Computer Science Preprint PDF DOI

RuC: HDL-Agnostic Rule Completion Benchmark Generation

Arnau Ayguade Domingo, Miquel Alberti-Binimelis, Cristian Gutierrez-Gomez, Emanuele Parisi, Razine Moundir Ghorab, Miquel Moreto, Gokcen Kestor, Dario Garcia-Gasulla · 2026

Large Language Models (LLMs) have rapidly improved in performance across code-related tasks, making their integration into Register Transfer Level (RTL) development increasingly attractive. Mimicking …

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Computer Science Preprint PDF DOI

Why Self-Supervised Encoders Want to Be Normal

Yuval Domb · 2026

We develop a geometric and information-theoretic framework for encoder-decoder learning built on the Information Bottleneck (IB) principle. Recasting IB as a rate-distortion problem with Kullback-Leib…

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Physics Preprint PDF DOI

A theoretical account of tiny multi-Higgs vacuum expectation values from non-invertible symmetry

Takaaki Nomura, Hiroshi Okada · 2026

We propose a novel mechanism to explain the naturally small vacuum expectation values (VEVs) of exotic multi-Higgs fields by employing non-invertible symmetries. Specifically, we introduce an $SU(2)_L…

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Computer Science Preprint PDF DOI

treVM: Tiny Rust Embedded Virtual Machines with WASM on Variable Resource-Constrained Hardware

Antoine Lavandier, Bastien Buil, Chrystel Gaber, Emmanuel Baccelli · 2026

Software stacks embedded on microcontroller-based hardware typically provide rudimentary APIs programmed in C/C++, basic connectivity and, sometimes, a firmware update mechanism. Such coarse mechanism…

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Physics Preprint PDF DOI

Topological antiqued mechanical toy

Hirofumi Wada, Hayato Mizobata, Shuto Ueno, Taiju Yoneda · 2026

{\it Jacob's ladder} -- a classic children's toy -- is a simple mechanical frame comprising rigid blocks connected by strings that shows curious unidirectional flipping waves. Nonetheless, its physica…

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Computer Science Preprint PDF DOI

Beyond One-Size-Fits-All Exercises: Personalizing Computer Science Worksheets with Large Language Models

Franco Ortiz, Runlong Ye, Michael Liut · 2026

Large Language Models (LLMs) have been widely applied to student-facing educational tools, this work explores their use in supporting instructors by presenting a practical adaptation of the Framework …

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Physics Preprint PDF DOI

Cylindrical Matter: A beyond-quantum many-body system for efficient classical simulation of quantum pure-Ising like systems

Sahar Atallah, Peter Carrekmor, Michael Garn, Yukuan Tao, Shashank Virmani · 2026

Even simplified models of quantum many-body systems can be difficult to analyse. However, taking inspiration from the foundations of physics, one may wonder whether there are practical advantages to c…

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AI & Data Science Preprint PDF DOI

Analytical Correction for Subsampling Bias in Drifting Models

Jiaru Zhang, Zeyun Deng, Juanwu Lu, Ziran Wang, Ruqi Zhang · 2026

Drifting models are capable one-step generative models trained to follow a drifting field. The field combines attractive and repulsive softmax-weighted centroids over the data and current-generator di…

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Physics Preprint PDF DOI

Effectiveness of nonflow suppression using multi-particle correlators

Chong Ye, Wei-Liang Qian, Yue Cui, Dan Wen, Yutao Xing, Rui-Hong Yue, Takeshi Kodama · 2026

As flow estimators, multi-particle correlators, particularly the higher-order ones, are generally regarded as effective tools for suppressing non-flow contributions. In this work, however, using two w…

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Physics Preprint PDF DOI

Gaseous forms of $^{76}$Ge, $^{82}$Se, $^{96}$Zr, $^{100}$Mo, $^{124}$Sn, and $^{130}$Te: new avenues to future $0\nu\beta\beta$ time projection chambers

Aneesha Avasthi, Benjamin Monreal, Ivana Moya · 2026

Searches for neutrinoless double beta decay are growing larger, with tonne-scale targets in several nuclides still far from exhausting the discovery space. What's beyond ton scale? Time projection cha…

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Physics Preprint PDF DOI

Finite-Window Centered Organization of Neighboring Poles

Yuye Wu, Hong-Bo Jin · 2026

Near-degenerate resonance poles arise widely in open-wave systems, including gravitational-wave ringdowns, when two neighboring modes have almost the same complex frequency. On a finite observation wi…

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AI & Data Science Preprint PDF DOI

Star-Fusion: A Multi-modal Transformer Architecture for Discrete Celestial Orientation via Spherical Topology

May Hammad, Menatallh Hammad · 2026

Reliable celestial attitude determination is a critical requirement for autonomous spacecraft navigation, yet traditional "Lost-in-Space" (LIS) algorithms often suffer from high computational overhead…

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AI & Data Science Preprint PDF DOI

Robust Alignment: Harmonizing Clean Accuracy and Adversarial Robustness in Adversarial Training

Yanyun Wang, Qingqing Ye, Li Liu, Zi Liang, Haibo Hu · 2026

Adversarial Training (AT) is one of the most effective methods for developing robust deep neural networks (DNNs). However, AT faces a trade-off problem between clean accuracy and adversarial robustnes…

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Mathematics Preprint PDF DOI

Components of strata of k-differentials and their orbit closures

Paul Apisa, Juliet Aygun · 2026

We obtain a complete classification of components of strata of holomorphic and meromorphic k-differentials. We show that, when genus is at least two and outside of explicit exceptions when k < 4, ther…

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Physics Preprint PDF DOI

Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/$\mathbb{Z}_2^2$ symmetry

J. M. P. Carmelo · 2026

There are few exact results for the Hubbard model on bipartite lattices of spatial dimension $d>1$. Nevertheless, the Hubbard model with transfer integral $t$ and onsite repulsion $U$ on bipartite lat…

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Physics Preprint PDF DOI

Collective neutrino-antineutrino pair oscillations

Shih-Jie Huang, Meng-Ru Wu · 2026

In dense neutrino gas, pairing correlations between neutrinos and antineutrinos with opposite momenta can be nonzero in generalized neutrino quantum kinetic equations at the mean-field level. In this …

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Mathematics Preprint PDF DOI

Positive mass theorem for initial data sets with arbitrary ends

Tin-Yau Tsang · 2026

We showed a positive energy theorem for asymptotically flat initial data sets with the concept of spectral PSC by He-Shi-Yu, Bi-Hao-He-Shi-Zhu and Brendle-Wang. Then, we proved a quantitative shieldin…

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