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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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AI & Data Science Preprint PDF DOI

From LLM-Driven Trading Card Generation to Procedural Relatedness: A Pok\'emon Case Study

Johannes Pfau, Panagiotis Vrettis · 2026

Since the dawn of Trading Card Games, the genre has grown into a multi-billion-dollar industry engaging millions of analog and digital players worldwide. Popular TCGs rely on regular updates, balance …

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AI & Data Science Preprint PDF DOI

A Collective Variational Principle Unifying Bayesian Inference, Game Theory, and Thermodynamics

Djamel Bouchaffra, Faycal Ykhlef, Mustapha Lebbah, Hanane Azzag · 2026

Collective intelligence emerges across biological, physical, and artificial systems without central coordination, yet a unifying principle governing such behaviour remains elusive. The Free Energy Pri…

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Mathematics Preprint PDF DOI

Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications

Joydwip Singh · 2026

In this paper, we study the $L^p$-boundedness of Stein's square function $\mathfrak{S}^{\alpha}(\mathcal{L})$ associated with the sub-Laplacian $\mathcal{L}$ on M\'etivier group $G$. A key aspect of o…

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AI & Data Science Preprint PDF DOI

Frequency-Aware Semantic Fusion with Gated Injection for AI-generated Image Detection

Shuchang Zhou, Shangkun Wu, Jiwei Wei, Ke Liu, Ran Ran, Caiyan Qin, Yang Yang · 2026

AI-generated images are becoming increasingly realistic and diverse, posing significant challenges for generalizable detection. While Vision Foundation Models (VFMs) provide rich semantic representati…

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Mathematics Preprint PDF DOI

A Ring structure on the Class of Combinatorial Games

Harry Altman, Paolo Lipparini · 2026

J. Conway defined useful operations on the Class of combinatorial games and also introduced a notion of equivalence between games. Conway showed that, under his equivalence, games form a Group. Howeve…

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Computer Science Preprint PDF DOI

WOOTdroid: Whole-system Online On-device Tracing for Android

Simon Althaus, Nikolaos Alexopoulos, Max Muhlhauser, Christian Reuter, Ephraim Zimmer · 2026

System auditing on Android faces two problems. First, existing syscall tracers lose events under load, silently overwriting entries faster than a user space reader can drain them. Second, security-rel…

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Computer Science Preprint PDF DOI

"It depends on where AI is used": Players' attitude patterns and evaluative logics toward different AI applications in digital games

Ting-Chen Hsu, Jiangxu Lin, Wenran Chen, Fei Qin, Zheyuan Zhang · 2026

As AI becomes increasingly embedded in digital games, players' attitudes de-pend not only on whether AI is used, but also on where and how it intervenes in gameplay. This study examines players' evalu…

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AI & Data Science Preprint PDF DOI

Linear-Core Surrogates: Smooth Loss Functions with Linear Rates for Classification and Structured Prediction

Mehryar Mohri, Yutao Zhong · 2026

The choice of loss function in classification involves a fundamental trade-off: smooth losses (like Cross-Entropy) enable fast optimization rates but yield slow square-root consistency bounds, while p…

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AI & Data Science Preprint PDF DOI

Mind the Gap: Structure-Aware Consistency in Preference Learning

Mehryar Mohri, Yutao Zhong · 2026

Preference learning has become the foundation of aligning Large Language Models (LLMs) with human intent. Popular methods, such as Direct Preference Optimization (DPO), minimize surrogate losses as pr…

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AI & Data Science Preprint PDF DOI

Optimized Deferral for Imbalanced Settings

Corinna Cortes, Anqi Mao, Mehryar Mohri, Yutao Zhong · 2026

Learning algorithms can be significantly improved by routing complex or uncertain inputs to specialized experts, balancing accuracy with computational cost. This approach, known as learning to defer, …

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Computer Science Preprint PDF DOI

How Code Representation Shapes False-Positive Dynamics in Cross-Language LLM Vulnerability Detection

Maofei Chen, Laifu Wang, Yue Qin, Yuan Wang, Bo Wu, Dongxin Liu · 2026

How code representation format shapes false positive behaviour in cross-language LLM vulnerability detection remains poorly understood. We systematically vary training intensity and code representatio…

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Engineering Preprint PDF DOI

Bitwise Over-Parameterized Neural Polar Decoding: A Theoretical Performance Analysis

Hongzhi Zhu, Wei Xu, Xiaohu You · 2026

This paper proposes a bitwise over-parameterized neural network (ONN) decoder for polar-coded transmission and develops a tractable theoretical performance analysis framework. By modeling each synthes…

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Mathematics Preprint PDF DOI

Property $R_\infty$ for generalized Higman groups

Ignat Soroko, Nicolas Vaskou · 2026

We give a unified proof of property $R_\infty$ for the Higman groups $H_n$ ($n\ge 4$) and for their generalizations studied by Martin and Horbez--Huang. As a key step, we prove that the automorphism g…

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Mathematics Preprint PDF DOI

Solution Sets for Inverse Infinite-Horizon Linear-Quadratic Descriptor Differential Games

Aaditya Kumar, Puduru Viswanadha Reddy · 2026

In this letter, we study a model-based inverse problem for infinite-horizon linear-quadratic differential games with descriptor dynamics. Specifically, we seek to identify the set of all cost function…

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Computer Science Preprint PDF DOI

Tracking Conversations: Measuring Content and Identity Exposure on AI Chatbots

Muhammad Jazlan, Ethan Wang, Yash Vekaria, Zubair Shafiq · 2026

AI chatbots are becoming a primary interface for seeking information. As their popularity grows, chatbot providers are starting to deploy advertising and analytics. Despite this, tracking on AI chatbo…

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Computer Science Preprint PDF DOI

REBENCH: A Procedural, Fair-by-Construction Benchmark for LLMs on Stripped-Binary Types and Names (Extended Version)

Jun Yeon Won, Xin Jin, Shiqing Ma, Zhiqiang Lin · 2026

Large Language Models (LLMs) have achieved remarkable progress in recent years, driving their adoption across a wide range of domains, including computer security. In reverse engineering, LLMs are inc…

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Mathematics Preprint PDF DOI

Revealing Strategic Interactions in Network Games Under Decaying Active Probing

Xiaoyu Xin, Longxu Zhang, Jinlong Lei, Yiguang Hong · 2026

Revealing the interaction topology underlying strategic behavior is fundamental to prediction, intervention, and policy design in networked systems. Yet the interaction matrix is often unobservable, a…

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Economics & Finance Preprint PDF DOI

Extreme Equilibria: The Benefits of Correlation

Kirill Rudov, Fedor Sandomirskiy, Leeat Yariv · 2026

Correlated equilibria arise naturally when agents communicate or rely on intermediaries such as recommendation systems. We study when a given Nash equilibrium can be improved within the set of correla…

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Computer Science Preprint PDF DOI

What Suppresses Nash Equilibrium Play in Large Language Models? Mechanistic Evidence and Causal Control

Paraskevas V. Lekeas, Giorgos Stamatopoulos · 2026

LLM agents are known to deviate from Nash equilibria in strategic interactions, but nobody has looked inside the model to understand why, or asked whether the deviation can be reversed. We do both. …

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