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Mathematics Preprint PDF DOI

Heegaard Floer homology and maximal twisting numbers

Alberto Cavallo, Irena Matkovic · 2026

We adapt the Ozsv\'ath-Szab\'o full path algorithm to every star-shaped graph and establish a correspondence between negative-twisting tight contact structures on any Seifert fibred space over $S^2$, …

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Computer Science Preprint PDF DOI

Measuring research data reuse in scholarly publications using generative artificial intelligence: Open Science Indicator development and preliminary results

Lauren Cadwallader, Iain Hrynaszkiewicz, parth sarin, Tim Vines · 2026

Numerous metascience studies and other initiatives have begun to monitor the prevalence of open science practices when it is more important to understand the 'downstream' effects or impacts of open sc…

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Mathematics Preprint PDF DOI

Hypergraph independence bounds: from maximum degree to average degree

Jing Yu, Junchi Zhang · 2026

We prove a transfer theorem for hereditary classes of $(r+1)$-uniform hypergraphs. Let $\mathcal G$ be such a class, and for $H\in\mathcal G$ write $\Delta(H)$ and $d(H)$ for the maximum degree and av…

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Computer Science Preprint PDF DOI

On the Principal Minor Expansion and Complexity of the Symmetrized Determinant

Sanyam Agarwal, Markus Blaser, Mridul Gupta · 2026

Barvinok introduced the symmetrized determinant ($\sdet$) as a \emph{non-commutative} analogue of the determinant. Intuitively, given a square matrix over an associative algebra, we can obtain the sym…

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Mathematics Preprint PDF DOI

Frank-Wolfe Beyond 1/t Convergence

Sebastian Pokutta · 2026

We consider smooth convex minimization over compact convex sets, i.e., $\min_{x \in C} f(x)$ with the (vanilla) Frank-Wolfe algorithm. Well-known lower bounds establish a worst-case $\Omega(1/t)$ prim…

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Mathematics Preprint PDF DOI

Cliques in minimally globally rigid graphs

Julien Portier · 2026

We show that every minimally generically globally rigid graph in $\mathbb R^d$ which contains a subgraph isomorphic to $K_{d+2}$ is itself isomorphic to $K_{d+2}$, confirming a conjecture by Garamv{\"…

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Computer Science Preprint PDF DOI

Exploring Sparse Matrix Multiplication Kernels on the Cerebras CS-3

Milan Shah, Sheng Di, Michela Becchi · 2026

In recent years, novel AI accelerators have emerged as promising alternatives to GPU for AI model training and inference tasks. One such accelerator, the Cerebras CS-3, achieves strong performance on …

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Computer Science Preprint PDF DOI

Distributed Santa Claus via Global Rounding

Tijn de Vos, Leo Wennmann, Malte Baumecker, Yannic Maus, Florian Schager · 2026

In this paper, we consider the Santa Claus problem in the CONGEST model. This NP-hard problem can be modeled as a bipartite graph of children and gifts where an edge indicates that a child desires a g…

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AI & Data Science Preprint PDF DOI

FineState-Bench: Benchmarking State-Conditioned Grounding for Fine-grained GUI State Setting

Fengxian Ji, Jingpu Yang, Zirui Song, Yuanxi Wang, Zhexuan Cui, Yuke Li, Qian Jiang, Xiuying Chen · 2026

Despite the rapid progress of large vision-language models (LVLMs), fine-grained, state-conditioned GUI interaction remains challenging. Current evaluations offer limited coverage, imprecise target-st…

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Computer Science Preprint PDF DOI

Simpler and Improved Replacement Path Coverings

Davide Bilo, Shiri Chechik, Keerti Choudhary, Sarel Cohen, Martin Schirneck · 2026

An important tool in the design of fault-tolerant graph data structures are $(L,f)$-replacement path coverings (RPCs). An RPC is a family $\mathcal{G}$ of subgraphs of a given graph $G$ such that, for…

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AI & Data Science Preprint PDF DOI

GUI Agents with Reinforcement Learning: Toward Digital Inhabitants

Junan Hu, Jian Liu, Jingxiang Lai, Jiarui Hu, Yiwei Sheng, Shuang Chen, Jian Li, Dazhao Du, Song Guo · 2026

Graphical User Interface (GUI) agents have emerged as a promising paradigm for intelligent systems that perceive and interact with graphical interfaces visually. Yet supervised fine-tuning alone canno…

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Physics Preprint PDF DOI

Unentangled stoquastic Merlin-Arthur proof systems: the power of unentanglement without destructive interference

Yupan Liu, Pei Wu · 2026

Stoquasticity, originating in sign-problem-free physical systems, gives rise to $\sf StoqMA$, introduced by Bravyi, Bessen, and Terhal (2006), a quantum-inspired intermediate class between $\sf MA$ an…

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Mathematics Preprint PDF DOI

A High Dimensional Wild Bootstrap Max-Test for Detecting the Presence of Significant Predictors

Jonathan B. Hill · 2026

We construct a block bootstrap max-test for detecting the presence of significant predictors in a high dimensional setting, allowing for weakly dependent and heterogeneous (possibly non-stationary) da…

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Computer Science Preprint PDF DOI

Toward a Characterization of Simulation Between Arithmetic Theories

Hunter Monroe · 2026

We study when a sound arithmetic theory $\mathcal S{\supseteq}S^1_2$ with polynomial-time decidable axioms efficiently proves the bounded consistency statements $Con_{\mathcal S{+}\phi}(n)$ for a true…

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Computer Science Preprint PDF DOI

Average-Tree Phylogenetic Diversity Parameterized by Scanwidth and Invisibility

Leo van Iersel, Mark Jones, Jannik Schestag, Celine Scornavacca, Mathias Weller · 2026

We investigate parameterized algorithms for computing the average-tree phylogenetic diversity (APD) in rooted phylogenetic networks, studying the problem under different structural parameters that cap…

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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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Physics Preprint PDF DOI

Constraining Dipole Radiation with Multiband Gravitational Waves from Eccentric Binary Black Holes

Han Wang, Lijing Shao · 2026

Dipole-radiation-like deviations from general relativity are most prominent during the early inspiral of compact binaries, making space-ground multiband observations a potential probe of such effects.…

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Computer Science Preprint PDF DOI

Online Coloring for Graphs of Large Odd Girth

Hirotaka Yoneda, Masataka Yoneda · 2026

We study the problem of online coloring for graphs with large odd girth. The best previously known algorithm uses $O(n^{1/2})$ colors, which was discovered by Kierstead in 1998. This algorithm works w…

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Computer Science Preprint PDF DOI

Libra: Accelerating Socket I/O via Programmable Selective Data Copying

Kairui Zhou, Shengkai Lin, Wei Zhang, Shizhen Zhao · 2026

Layer-7 (L7) proxies are critical to modern cloud-native systems, yet their performance is increasingly bottlenecked by copying entire payloads across the kernel-user boundary. Existing approaches red…

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Mathematics Preprint PDF DOI

A note on estimation of quarticity based on spot volatility

Yi Guo · 2026

In this paper, we aim at estimating the quarticity of continuous It\^{o} semimartingales. Instead of using some classical estimators, we introduce a more intuitive one and establish a central limit th…

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