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Mathematics Preprint PDF DOI

The hat and plus version of the Heegaard Floer contact invariant are not equivalent

Alberto Cavallo, Irena Matkovic · 2026

We advance Matkovi\v{c} ideas, originally applied to complete the classification of tight structures on small Seifert fibred $L$-spaces, to show the existence of contact structures on Brieskorn sphere…

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Mathematics Preprint PDF DOI

The proportion of permutations fixing a $k$-set

Ben Green, Mehtaab Sawhney · 2026

Denote by $p(k)$ the limit, as $n \rightarrow \infty$, of the probability that a random permutation on a set of size $n$ has an invariant set of size $k$. We give an asymptotic formula for $p(k)$, sho…

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Computer Science Preprint PDF DOI

Towards Neuro-symbolic Causal Rule Synthesis, Verification, and Evaluation Grounded in Legal and Safety Principles

Zainab Rehan, Christian Medeiros Adriano, Sona Ghahremani, Holger Giese · 2026

Rule-based systems remain central in safety-critical domains but often struggle with scalability, brittleness, and goal misspecification. These limitations can lead to reward hacking and failures in f…

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Engineering Preprint PDF DOI

Framework for Collaborative Operation of Autonomous Delivery Vehicles Within a Marshaling Yard

James O'Hara, Karl Wunderlich, Gregory Stevens · 2026

As autonomous vehicles slowly deploy into urban roads for limited use cases with significant edge case issues, closed facilities like marshaling yards provide a ripe case for combining lower-level veh…

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AI & Data Science Preprint PDF DOI

Early Detection of Water Stress by Plant Electrophysiology: Machine Learning for Irrigation Management

Eduard Buss, Till Aust, Heiko Hamann · 2026

Purpose: Fast detection of plant stress is key to plant phenotyping, precision agriculture, and automated crop management. In particular, efficient irrigation management requires early identification …

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Mathematics Preprint PDF DOI

Extremal graphs for average size of maximal matchings in bicyclic graphs

Kai Zhang · 2026

For a graph \(G\), let $avm(G)$ denote the average size of its maximal matchings. This parameter was introduced by Engbers and Erey in the study of extremal problems for maximal matchings, and they as…

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Physics Preprint PDF DOI

Discontinuous BBP transitions

Dario Bocchi, Giulio Biroli, Chiara Cammarota, Federico Ricci-Tersenghi · 2026

The Baik-Ben Arous-Peche (BBP) transition sets fundamental limits for detecting low-rank structure in noisy high-dimensional data and underlies a wide range of spectral methods in many fields from phy…

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Physics Preprint PDF DOI

The Complex Structure of the Abell 548 - Abell 3367 Region

Mark J. Henriksen, Layla Ahmed · 2026

Archival XMM and ROSAT X-ray data are used to investigate the structure of the Abell 548 - Abell 3367 region. Based on previous optical studies, this is a region likely to be rich in structure though …

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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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Physics Preprint PDF DOI

Regular ultracompact objects with anti-de Sitter cores as polymerized vacuum solutions

Hongguang Liu, Ioannis Soranidis · 2026

We present a systematic derivation of regular black hole solutions - and their horizonless counterparts - that achieve regularization via an anti-de Sitter core. These geometries emerge as polymerized…

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Biology & Life Sciences Preprint PDF DOI

The Lifetime Cardiac-Cycle Invariant in Endothermic Vertebrates: A 230-Species Comparative Dataset, Statistical Validation, and Explicit Falsifiability Criteria

Mesfin Taye · 2026

A pygmy shrew (\textit{Suncus etruscus}, ${\approx}2$\,g) sustains a resting heart rate near $1{,}000$\,beats\,min$^{-1}$ and dies within two years; an African elephant (${\approx}4{,}000$\,kg) beats …

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Physics Preprint PDF DOI

Towards High Performance Quantum Computing (HPQ): Parallelisation of the Hamiltonian Auto Decomposition Optimisation Framework (HADOF)

Namasi G Sankar, Georgios Miliotis, Simon Caton · 2026

Practical applicability of quantum optimisation on near term devices is constrained by limited qubit counts and hardware noise, which restricts the scalability of quantum optimisation algorithms for c…

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AI & Data Science Preprint PDF DOI

Taming Noise-Induced Prototype Degradation for Privacy-Preserving Personalized Federated Fine-Tuning

Yuhua Wang, Qinnan Zhang, Xiaodong Li, Huan Zhang, Yifan Sun, Wangjie Qiu, Hainan Zhang, Yongxin Tong, Zhiming Zheng · 2026

Prototype-based Personalized Federated Learning (ProtoPFL) enables efficient multi-domain adaptation by communicating compact class prototypes, but directly sharing them poses privacy risks. A common …

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Engineering Preprint PDF DOI

Hybrid Anomaly Detection for Bullion Coin Authentication Leveraging Acoustic Signature Analysis

Krzysztof Siwek, Tran Hoai Linh, Tomasz Gryczka, Maciej Stodolski · 2026

The verification of bullion coin authenticity is essential for maintaining integrity within the precious metals market; however, the increasing sophistication of counterfeits has rendered traditional …

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Mathematics Preprint PDF DOI

Expected hyperbolic volumes of random beta polytopes

Zakhar Kabluchko, Philipp Schange · 2026

Let $X_1,\ldots,X_n$ be independent random points in the closed unit ball of $\mathbb{R}^d$. Assume that each $X_i$ has a beta distribution with parameter $\beta_i \ge -1$: if $\beta_i>-1$, then $X_i$…

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Computer Science Preprint PDF DOI

Test Before You Deploy: Governing Updates in the LLM Supply Chain

Mohd Sameen Chishti, Damilare Peter Oyinloye, Jingyue Li · 2026

Large Language Models (LLMs) are increasingly used as core dependencies in software systems. However, the hosted LLM services evolve continuously through provider-side updates without explicit version…

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Physics Preprint PDF DOI

A perturbative Liouville prescription for the celestial three-gluon amplitude

Grzegorz Biskowski, Franco Ferrari, Marcin R. Piatek, Artur R. Pietrykowski · 2026

We study the celestial three-gluon amplitude in a dilaton background through the Mellin-Liouville formulation proposed by Stieberger, Taylor and Zhu (STZ). The original map contains an ambiguity in th…

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Earth & Environmental Sciences Preprint PDF DOI

Physically-Informed Fuzzy Clustering of Vertical Sounding Ionograms

Oleg I.Berngardt, Sergey N.Ponomarchuk · 2026

This paper presents a physically-informed fuzzy clustering of vertical sounding ionograms for automatically separating the ionogram into tracks suitable for further interpretation and determining thei…

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AI & Data Science Preprint PDF DOI

Contextual Agentic Memory is a Memo, Not True Memory

Binyan Xu, Xilin Dai, Kehuan Zhang · 2026

Current agentic memory systems (vector stores, retrieval-augmented generation, scratchpads, and context-window management) do not implement memory: they implement lookup. We argue that treating lookup…

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AI & Data Science Preprint PDF DOI

A generalised pre-training strategy for deep learning networks in semantic segmentation of remotely sensed images

Yuan Fang, Yuanzhi Cai, Jagannath Aryal, Qinfeng Zhu, Hong Huang, Cheng Zhang, Lei Fan · 2026

In the segmentation of remotely sensed images, deep learning models are typically pre-trained using large image databases like ImageNet before fine-tuned on domain-specific datasets. However, the perf…

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