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Physics Preprint PDF DOI

The virial expansion of the Hydrogen equation of state in comparison to PIMC simulations: the quasiparticle concept, IPD, and ionization degree

Gerd Ropke, Chengliang Lin, Werner Ebeling, Heidi Reinholz ยท 2026

The properties of plasmas in the low-density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches.Recently, acโ€ฆ

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AI & Data Science Preprint PDF DOI

RoIt-XMASA: Multi-Domain Multilingual Sentiment Analysis Dataset for Romanian and Italian

Andrei-Marius Avram, Aureliu Valentin Antonie, Cosmin-Mircea Croitoru, Vlad Andrei Muntean, Dumitru-Clementin Cercel ยท 2026

We present RoIt-XMASA, a multilingual dataset that extends the Cross-lingual Multi-domain Amazon Sentiment Analysis to Italian and Romanian, comprising 36,000 labeled reviews across three domains (booโ€ฆ

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Mathematics Preprint PDF DOI

Formalizing Wu-Ritt Method in Lean 4

Yuxuan Xiao, Hao Shen, Junyu Guo, Dingkang Wang, Lihong Zhi ยท 2026

We formalize the Wu-Ritt characteristic set method for the triangular decomposition of polynomial systems in the Lean 4 theorem prover. Our development includes the core algebraic notions of the methoโ€ฆ

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Computer Science Preprint PDF DOI

Improved Local Computation Algorithms for Greedy Set Cover via Retroactive Updates

Slobodan Mitrovic, Srikkanth Ramachandran, Ronitt Rubinfeld, Mihir Singhal ยท 2026

In this work, we focus on designing an efficient Local Computation Algorithm (LCA) for the set cover problem, which is a core optimization task. The state-of-the-art LCA for computing $O(\log \Deltaโ€ฆ

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History & Literature Preprint PDF DOI

Henri Poincare Saint Louis Lecture of 1904: Early Publication and International Dissemination

Hector Giacomini ยท 2026

Henri Poincare Saint Louis lecture, delivered on 24 September 1904 at the International Congress of Arts and Science, occupies a distinctive place in the pre history of twentieth century theoretical pโ€ฆ

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Computer Science Preprint PDF DOI

Dynamic 3D Convex Hulls Revisited and Applications

Haitao Wang ยท 2026

Chan [JACM, 2010] gave a data structure for maintaining the convex hull of a dynamic set of 3D points under insertions and deletions, supporting extreme-point queries. Subsequent refinements by Kaplanโ€ฆ

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Mathematics Preprint PDF DOI

Chebyshev polynomials and a refinement of the local residue/non-residue structure at a prime

Kok Seng Chua ยท 2026

The basic power function $t_n(x)=x^n$ is in some sense a classical limit for large $x$, of the monictised Chebyshev polynomial of the first kind $T_n(x)/2^{n-1}$. A theorem of Ritt says they are the oโ€ฆ

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Earth & Environmental Sciences Preprint PDF DOI

Reconstructing Carbon Monoxide Reanalysis with Machine Learning

Paula Harder, Johannes Flemming ยท 2026

The Copernicus Atmospheric Monitoring Service provides reanalysis products for atmospheric composition by combining model simulations with satellite observations. The quality of these products dependsโ€ฆ

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Physics Preprint PDF DOI

Stall cells over an airfoil. Part 2: A vortex-based analytical model for their formation and saturation

Rishabh Mishra, Emmanuel Guilmineau, Ingrid Neunaber, Caroline Braud ยท 2026

Stall cells are spanwise-periodic flow structures that spontaneously form on airfoils operating near stall, fundamentally altering the aerodynamic loading distribution. Despite decades of experimentalโ€ฆ

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Engineering Preprint PDF DOI

Accurate Pedestrian Tracking in Urban Canyons: A Multi-Modal Fusion Approach

Shahar Dubiner, Peng Ren, Roberto Manduchi ยท 2026

The contribution describes a pedestrian navigation approach designed to improve localization accuracy in urban environments where GNSS performance is degraded, a problem that is especially critical foโ€ฆ

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Mathematics Preprint PDF DOI

Noetherianity and length of Melnikov functions

Pavao Mardesic, Dmitry Novikov, Laura Ortiz-Bobadilla, Jessie Pontigo-Herrera ยท 2025

We study foliations in $\mathbb{C}^2$ given by polynomial deformations of the form $dH+\epsilon \eta=0$, with $\gamma(t)\subset H^{-1}(t)$ a family of cycles. The \emph{Poincar\'e first return map} isโ€ฆ

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Physics Preprint PDF DOI

Further Statistical Study of NISQ Experiments

Gil Kalai, Tomer Shoham, Carsten Voelkmann ยท 2025

We revisit and extend some topics that we studied in our previous works (Rinott, Kalai and Shoham 2022; Kalai, Rinott and Shoham, 2023,2024) regarding the Google 2019 "quantum supremacy" experiment. Wโ€ฆ

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AI & Data Science Preprint PDF DOI

Reconstructing Objects along Hand Interaction Timelines in Egocentric Video

Zhifan Zhu, Siddhant Bansal, Shashank Tripathi, Dima Damen ยท 2025

We introduce the task of Reconstructing Objects along Hand Interaction Timelines (ROHIT). We first define the Hand Interaction Timeline (HIT) from a rigid object's perspective. In a HIT, an object is โ€ฆ

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AI & Data Science Preprint PDF DOI

Limitations of Membership Queries in Testable Learning

Jane Lange, Mingda Qiao ยท 2025

Membership queries (MQ) often yield speedups for learning tasks, particularly in the distribution-specific setting. We show that in the \emph{testable learning} model of Rubinfeld and Vasilyan [RV23],โ€ฆ

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Computer Science Preprint PDF DOI

Homomorphism Testing with Resilience to Online Manipulations

Esty Kelman, Uri Meir, Debanuj Nayak, Sofya Raskhodnikova ยท 2025

A central challenge in property testing is verifying algebraic structure with minimal access to data. A landmark result addressing this challenge, the linearity test of Blum, Luby, and Rubinfeld (JCSSโ€ฆ

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Mathematics Preprint PDF DOI

On the multiplier spectrum of polynomials

Geng-Rui Zhang ยท 2025

We prove several results on the multiplier spectrum of polynomials. We provide a detailed proof of the theorem stating that the multiplier spectrum morphism is generically injective on the moduli spacโ€ฆ

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AI & Data Science Preprint PDF DOI

Efficiently Transforming Neural Networks into Decision Trees: A Path to Ground Truth Explanations with RENTT

Helena Monke, Benjamin Fresz, Marco Bernreuther, Yilin Chen, Marco F. Huber ยท 2025

Although neural networks are a powerful tool, their widespread use is hindered by the opacity of their decisions and their black-box nature, which result in a lack of trustworthiness. To alleviate thiโ€ฆ

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Engineering Preprint PDF DOI

X-IONet: Cross-Platform Inertial Odometry Network for Pedestrian and Legged Robot

Dehan Shen, Changhao Chen ยท 2025

Learning-based inertial odometry has achieved remarkable progress in pedestrian navigation. However, extending these methods to quadruped robots remains challenging due to their distinct and highly dyโ€ฆ

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Mathematics Preprint PDF DOI

The Stieltjes moment problem in Gelfand-Shilov spaces defined by weight sequences in the absence of derivation closedness

Javier Jimenez-Garrido, Ignacio Miguel-Cantero, Javier Sanz, Gerhard Schindl ยท 2025

The Stieltjes moment problem is studied in a new framework within the general Gelfand-Shilov spaces defined via weight sequences. The novelty consists of allowing for a naturally larger target space fโ€ฆ

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Physics Preprint PDF DOI

Multi-Task Deep Learning for Surface Metrology

D. Kucharski, A. Gaska, T. Kowaluk, K. Stepien, M. Repalska, B. Gapinski, M. Wieczorowski, M. Nawotka, P. Sobecki, P. Sosinowski, J. Tomasik, A. Wojtowicz ยท 2025

A reproducible deep learning framework is presented for surface metrology to predict surface texture parameters together with their reported standard uncertainties. Using a multi-instrument dataset spโ€ฆ

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