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Computer Science Preprint PDF DOI

treVM: Tiny Rust Embedded Virtual Machines with WASM on Variable Resource-Constrained Hardware

Antoine Lavandier, Bastien Buil, Chrystel Gaber, Emmanuel Baccelli ยท 2026

Software stacks embedded on microcontroller-based hardware typically provide rudimentary APIs programmed in C/C++, basic connectivity and, sometimes, a firmware update mechanism. Such coarse mechanismโ€ฆ

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AI & Data Science Preprint PDF DOI

Population Dynamics in ARIEL Robotics Systems Featuring Embodied Evolution via Spatial Mating Mechanisms

Victoria Peterson, Akshat Srivastava, Raghav Prabhakar ยท 2026

We present a Spatially Embedded Evolutionary Algorithm where robot individuals exist in a physically simulated 2D environment, must navigate to encounter potential mates, and compete for survival undeโ€ฆ

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Computer Science Preprint PDF DOI

Embedded Rust or C Firmware? Lessons from an Industrial Microcontroller Use Case with Ariel OS

Bipin Thapa, Daniele Alfonso, Lorenzo Bini, Licio Mapelli, Kaspar Schleiser, Romain Fouquet, Emmanuel Baccelli ยท 2026

As Rust gains traction for developing safer systems software, a reality check for the microcontroller hardware segment becomes necessary. How ready is the Rust ecosystem for this segment? Can Rust comโ€ฆ

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Mathematics Preprint PDF DOI

The coloured mutation class of $\mathbb{D}_n$- quivers and their application to $m$-cluster tilted algebras

Viviana Gubitosi, Claudio Qureshi ยท 2026

In this paper, we present an explicit and purely combinatorial characterization of the $m$-coloured quivers that appear within the $m$-coloured mutation class of a quiver of type $\mathbb{D}_n$. The $โ€ฆ

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Mathematics Preprint PDF DOI

Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra

Thomas Creutzig, Volodymyr Kovalchuk, Andrew R. Linshaw, Arim Song, Uhi Rinn Suh ยท 2026

The universal $2$-parameter vertex algebra $\mathcal{W}_{\infty}$ of type $\mathcal{W}(2,3,\dots)$ is a classifying object for vertex algebras of type $\mathcal{W}(2,3,\dots,N)$ for some $N$; under miโ€ฆ

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AI & Data Science Preprint PDF DOI

Super Apriel: One Checkpoint, Many Speeds

SLAM Labs: Oleksiy Ostapenko, Raymond Li, Torsten Scholak, Alireza Mousavi-Hosseini, Aman Tiwari, Denis Kocetkov, Joel Lamy Poirier, Kelechi Ogueji, Nanda H Krishna, Rafael Pardinas, Sathwik Tejaswi Madhusudhan, Shruthan Radhakrishna, Srinivas Sunkara, Valerie Becaert ยท 2026

We release Super Apriel, a 15B-parameter supernet in which every decoder layer provides four trained mixer choices -- Full Attention (FA), Sliding Window Attention (SWA), Kimi Delta Attention (KDA), aโ€ฆ

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Earth & Environmental Sciences Preprint PDF DOI

Beyond the mass-radius plane: Integrated radiative-convective and interior structure simulations of the exoplanet continuum

Harrison Nicholls, Oliver Shorttle, Tim Lichtenberg, Flavia Pascal ยท 2026

Static structure models, which map mass-radius constraints to bulk planet composition, are frequently used to categorise exoplanets due to their computational efficiency and the high-level insight theโ€ฆ

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AI & Data Science Preprint PDF DOI

Three-Phase Transformer

Mohammad R. Abu Ayyash ยท 2026

We present Three-Phase Transformer (3PT), a residual-stream structural prior for decoder-only Transformers on a standard SwiGLU + RMSNorm + RoPE + GQA backbone. The hidden vector is partitioned into Nโ€ฆ

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Earth & Environmental Sciences Preprint PDF DOI

The GAPS Programme at TNG. LXXIII. Confirmation of the hot sub-Neptune TOI-4602 b (HD 25295 b), a key target for future atmospheric characterization

C. Di Maio, S. Benatti, D. Locci, R. Spinelli, M. Baratella, K. Biazzo, J. Maldonado, A. F. Lanza, C. Dorn, P. E. Cubillos, A. Salmi, A. Maggio, L. Naponiello, F. Marzari, G. Micela, V. Fardella, L. Malavolta, M. Damasso, A. Sozzetti, G. Mantovan, D. Nardiello, I. Carleo, R. Claudi, R. Cosentino, M. Gonzalez, D. Muthukrishna, M. Pinamonti, T. Zingales ยท 2026

Precise mass and radius measurements of small, transitional exoplanets, such as super-Earths and sub-Neptunes, are essential to constrain their bulk density and formation history, serving as prerequisโ€ฆ

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Mathematics Preprint PDF DOI

Limit laws for longest edges in empty region graphs

Holger Sambale, Matthias Schulte, Christoph Thaele ยท 2026

Empty region graphs are graphs whose vertices are points in $\mathbb{R}^d$ and where two vertices are connected by an edge whenever some associated region does not contain any other vertices. We invesโ€ฆ

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Earth & Environmental Sciences Preprint PDF DOI

On the Information Content of Ariel Transmission Spectra: Reassessing the Tier System

Michael Radica, Nicolas B. Cowan, Ryan Cloutier, Leo Yang Wang ยท 2026

The European Space Agency's Ariel mission will conduct a survey of the atmospheric properties of exoplanets around bright stars. The mission is nominally divided into three Tiers. The Tier 1 survey wiโ€ฆ

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Physics Preprint PDF DOI

A Duality Web for Non-Supersymmetric Strings

Zihni Kaan Baykara, Matilda Delgado, Emilian Dudas, Hector Parra De Freitas, Cumrun Vafa ยท 2026

Motivated by the recently proposed geometric descriptions of 0A and 0B in M-theory and F-theory, we propose a web of duality among non-supersymmetric strings. In particular we argue that the distinct โ€ฆ

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AI & Data Science Preprint PDF DOI

Apriel-1.5-OpenReasoner: RL Post-Training for General-Purpose and Efficient Reasoning

Rafael Pardinas, Ehsan Kamalloo, David Vazquez, Alexandre Drouin ยท 2026

Building general-purpose reasoning models using reinforcement learning with verifiable rewards (RLVR) across diverse domains has been widely adopted by frontier open-weight models. However, their traiโ€ฆ

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Physics Preprint PDF DOI

On Generalised Discrete Torsion

Philip Boyle Smith, Yuji Tachikawa ยท 2026

For a 2d gauged sigma model with target space $M$ and discrete gauge group $G$, we consider a generalisation of Vafa's discrete torsion $H^2(BG; U(1))$ that assigns different local discrete torsion phโ€ฆ

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Mathematics Preprint PDF DOI

Recollements of Cohen-Macaulay Auslander algebras for gentle algebras

Jiacheng Xu, Yu-Zhe Liu, Xin Ma, Guiqi Shi ยท 2026

We construct two recollements of module categories for the Cohen--Macaulay Auslander algebra $A^{\mathrm{CMA}}$ of a gentle algebra $A$. In this paper, we establish three equivalent characterizations โ€ฆ

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Earth & Environmental Sciences Preprint PDF DOI

$\texttt{Exoformer}$: Accelerating Bayesian atmospheric retrievals with transformer neural networks

L. Pagliaro, T. Zingales, G. Piotto, I. Giovannini, G. Mantovan ยท 2026

Computationally expensive and time-consuming Bayesian atmospheric retrievals pose a significant bottleneck for the rapid analysis of high-quality exoplanetary spectra from present and next generation โ€ฆ

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Computer Science Preprint PDF DOI

Proximity Alert: Ipelets for Neighborhood Graphs and Clustering

Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, David M. Mount ยท 2026

Neighborhood graphs and clustering algorithms are fundamental structures in both computational geometry and data analysis. Visualizing them can help build insight into their behavior and properties. Tโ€ฆ

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Mathematics Preprint PDF DOI

Tame symmetric algebras of period four with small Gabriel quivers

Alicja Jaworska-Pastuszak, Adam Skowyrski ยท 2026

The tame symmetric algebras of period four, TSP4 algebras for short, form an important class of algebras, with interesting links to various branches of modern algebra. The study of this class has beenโ€ฆ

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Mathematics Preprint PDF DOI

Grassmannian cluster subcategories and positroid varieties

Bernt Tore Jensen, Liam Riordan, Xiuping Su ยท 2026

A class of subcategories GP $B$ of the Grassmannian cluster category CM $C_{k, n}$ was constructed by Jensen--King--Su from certain superorders $B$ of $C_{k, n}$, which they showed are in bijection wiโ€ฆ

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Mathematics Preprint PDF DOI

Arboreal Objects and Their Homotopy Theory

Atabey Kaygun ยท 2026

We construct a category $\OrdFor$ as an arboreal extension of $\Delta_{\mathrm{epi}}\subseteq\Delta$, whose morphisms are ordered forests composed by grafting. We define a full functor $\pi\colon \Ordโ€ฆ

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