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Mathematics Preprint PDF DOI

Fibonacci numbers and the probability of polygon formation using random length sticks

Mark Brennana, Noah Callow, Tian Cao Lin · 2026

We present two complementary proofs that, if the lengths of $n$ sticks are sampled at random, then the probability that no $p+1$ sticks can form a $(p+1)$-sided polygon can be expressed as the product…

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Computer Science Preprint PDF DOI

Harnessing the Freedom of Non-Uniformity in Monostatic ISAC with Antenna Flexibility

Zhe Wang, Mahmoud Zaher, Vitaly Petrov, Emil Bjornson · 2026

This paper studies flexible non-uniform array design for monostatic integrated sensing and communication (ISAC) systems. An antenna pool is considered at the base station, where each candidate antenna…

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Computer Science Preprint PDF DOI

Smallest suffixient set maintenance in near-real-time

Dominik Koppl, Gregory Kucherov · 2026

The size of the \textit{smallest suffixient set} of positions of a string recently emerged as a new measure of string \textit{repetitiveness} -- a measure reflecting how much of repetitive content the…

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AI & Data Science Preprint PDF DOI

Diagnosing Capability Gaps in Fine-Tuning Data

Saeid Asgari Taghanaki, Rakshanda Agarwal, Bruce Sun, Rohan Jha, Elias Stengel-Eskin, Sara Malvar, Rui Ying, Yifei Xu, Guilherme Potje, Tusher Chakraborty, Leonardo de Oliveira Nunes, Ranveer Chandra, Emre Kiciman · 2026

Fine-tuning large language models (LLMs) for domain-specific tasks requires training datasets that comprehensively cover the target capabilities a practitioner needs. Yet identifying which capabilitie…

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AI & Data Science Preprint PDF DOI

HATS: An Open data set Integrating Human Perception Applied to the Evaluation of Automatic Speech Recognition Metrics

Thibault Baneras Roux, Jane Wottawa, Mickael Rouvier, Teva Merlin, Richard Dufour · 2026

Conventionally, Automatic Speech Recognition (ASR) systems are evaluated on their ability to correctly recognize each word contained in a speech signal. In this context, the word error rate (WER) metr…

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Mathematics Preprint PDF DOI

Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction

Jingya Li, Ye Ji, Hugo Verhelst, Henk den Besten, Matthias Moller · 2026

Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform a reference configu…

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AI & Data Science Preprint PDF DOI

Belief-Guided Inference Control for Large Language Model Services via Verifiable Observations

Wenhao Yuan, Chenchen Lin, Jian Chen, Jinfeng Xu, Shuo Yang, Edith Cheuk Han Ngai · 2026

In black-box large language model (LLM) services, response reliability is often only partially observable at decision time, while stronger inference pathways incur substantial computational cost, indu…

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Mathematics Preprint PDF DOI

Pancyclicity in Graph Families with the Ore-Type Condition

Luyi Li, Yubo Wang, Guiying Yan · 2026

Let $ n \in \mathbb{N} $ with $ n \geq 3 $, and let $\mathcal{G} = \{G_i:i\in [n]\} $ be a family of $ n $-vertex graphs on a common vertex set $V$, where the graphs in the family do not need to be di…

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Mathematics Preprint PDF DOI

Diffeomorphism Classification of Smooth Structures and Tangential Homotopy Types of $\mathbb{C}P^m$ for $5 \le m \le 8$

Ramesh Kasilingam · 2026

This paper provides a diffeomorphism classification of smooth manifolds homeomorphic to the complex projective space $\mathbb{C}P^m$ for $m \in \{5, 6, 7, 8\}$. The classification is obtained by compu…

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AI & Data Science Preprint PDF DOI

FMCL: Class-Aware Client Clustering with Foundation Model Representations for Heterogeneous Federated Learning

Mahad Ali, Laura J. Brattain · 2026

Federated Learning (FL) enables collaborative model training across distributed clients without sharing raw data, yet its performance deteriorates under statistical heterogeneity. Clustered Federated …

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AI & Data Science Preprint PDF DOI

Leveraging Verifier-Based Reinforcement Learning in Image Editing

Hanzhong Guo, Jie Wu, Jie Liu, Yu Gao, Zilyu Ye, Linxiao Yuan, Xionghui Wang, Yizhou Yu, Weilin Huang · 2026

While Reinforcement Learning from Human Feedback (RLHF) has become a pivotal paradigm for text-to-image generation, its application to image editing remains largely unexplored. A key bottleneck is the…

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Mathematics Preprint PDF DOI

On large deviation principles for general random processes

A. A. Borovkov, K. A. Borovkov · 2026

Let $Z=\{Z(t): t\in \mathbb R\}$ be a stochastic process with trajectories in space $\mathbb D (\mathbb R)$. It is assumed that there exists an essentially smooth function $A:\mathbb R\to (-\infty, \i…

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AI & Data Science Preprint PDF DOI

Toward Scalable SDN for LEO Mega-Constellations: A Graph Learning Approach

Sivaram Krishnan, Bassel Al Homssi, Zhouyou Gu, Jihong Park, Sung-Min Oh, Jinho Choi · 2026

Terrestrial network limitations drive the integration of non-terrestrial networks (NTNs), notably mega-constellations comprising thousands of low Earth orbit (LEO) satellites. While these satellites a…

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Computer Science Preprint PDF DOI

Computing the (k+2)-Edge-Connected Components in k-Edge-Connected Digraphs in Subquadratic Time

Loukas Georgiadis, Evangelos Kipouridis, Evangelos Kosinas, Charis Papadopoulos, Nikos Parotsidis · 2026

Computing edge-connected components in directed and undirected graphs is a fundamental and well-studied problem in graph algorithms. In a very recent breakthrough, Korhonen [STOC 2025] showed that for…

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AI & Data Science Preprint PDF DOI

HealthBench Professional: Evaluating Large Language Models on Real Clinician Chats

Rebecca Soskin Hicks, Mikhail Trofimov, Dominick Lim, Rahul K. Arora, Foivos Tsimpourlas, Preston Bowman, Michael Sharman, Chi Tong, Kavin Karthik, Arnav Dugar, Akshay Jagadeesh, Khaled Saab, Johannes Heidecke, Ashley Alexander, Nate Gross, Karan Singhal · 2026

Millions of clinicians use ChatGPT to support clinical care, but evaluations of the most common use cases in model-clinician conversations are limited. We introduce HealthBench Professional, an open b…

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Physics Preprint PDF DOI

Foreground Mitigation and Power Spectrum Analysis for Tianlai Full-Sky 21 cm Survey Observation

Yikai Deng, Shifan Zuo, Jixia Li, Yougang Wang, Xuelei Chen · 2026

We present a comprehensive analysis of the 21 cm intensity mapping (IM) data from the Tianlai Cylinder Pathfinder Array (TCPA), focusing on multi-scale foreground mitigation and three-dimensional powe…

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Computer Science Preprint PDF DOI

Security Attack and Defense Strategies for Autonomous Agent Frameworks: A Layered Review with OpenClaw as a Case Study

Luyao Xu, Xiang Chen · 2026

Autonomous agent frameworks built upon large language models (LLMs) are evolving into complex, tool-integrated, and continuously operating systems, introducing security risks beyond traditional prompt…

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Physics Preprint PDF DOI

Galilean boost invariance does not survive the trace: symmetry breaking in open quantum systems

Leonardo F. Calderon, Esteban Marulanda, Santiago Morales, Leonardo A. Pachon · 2026

Tracing out a Galilean-invariant Caldeira-Leggett environment breaks Galilean boost covariance of the reduced dynamics, while spatial translations and rotations survive intact. An operator-level analy…

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Physics Preprint PDF DOI

Demonstration of Exponential Quantum Speedup with Constant-Depth Compiled Circuits for Simon's Problem

Phattharaporn Singkanipa, Victor Kasatkin, Daniel A. Lidar · 2026

We demonstrate exponential quantum speedup for a restricted-Hamming-weight version of Simon's problem on present-day superconducting quantum processors by introducing a hardware-aware compilation stra…

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Mathematics Preprint PDF DOI

The $H$-linkage problems in sparse robustly expanding digraphs

Zhilan Wang, Jin Yan · 2026

The Nash-Williams conjecture establishes degree sequence conditions ensuring Hamilton cycles in digraphs. An asymptotic version of this conjecture for large digraphs was independently derived by sever…

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