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Computer Science Preprint PDF DOI

Compile-Time Tensor Shape Checking via Staged Shape-Dependent Types

Takashi Suwa, Atsushi Igarashi · 2026

When writing programs involving matrices or tensors in general, it is desirable to rule out the inconsistency of tensor shapes (i.e., the generalization of matrix sizes) before actual computation. For…

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AI & Data Science Preprint PDF DOI

mlr3torch: A Deep Learning Framework in R based on mlr3 and torch

Sebastian Fischer, Lukas Burk, Carson Zhang, Bernd Bischl, Martin Binder · 2026

Deep learning (DL) has become a cornerstone of modern machine learning (ML) praxis. We introduce the R package mlr3torch, which is an extensible DL framework for the mlr3 ecosystem. It is built upon t…

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Physics Preprint PDF DOI

Response theory for quantum fields in isolation

Stefan Floerchinger · 2026

Response theory describes the reaction of observales to perturbations in external fields. We review this formalism for quantum fiels in isolation that have unitary time evolution. An emphasis is put o…

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Physics Preprint PDF DOI

Persephone's Torch: A 15th Magnitude Quadruply-Lensed Quasar From the Couch Discovered with SPHEREx and the LBT

Frederick B. Davies, Eduardo Banados, Sarah E. I. Bosman, Arpita Ganguly, Silvia Belladitta, Jennifer Power, Jon Rees · 2026

Here we report the spectroscopic and geometric confirmation of an extremely bright ($i=14.77$) and compact (Einstein radius of $\sim0.45''$) quadruply-lensed quasar at $z=2.22$, J1330$-$0905, which we…

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Physics Preprint PDF DOI

Yellow whispering-gallery-mode lasing from amorphous fluoride microspheres

Abhishek Sureshkumar, Jonathan Demaimay, Georges Perin, Christelle Velly, Helene Ollivier, Yannick Dumeige, Alain Braud, Patrice Camy, Stephane Trebaol, Pavel Loiko · 2026

Compact, low-noise coherent light sources in the visible remain challenging due to limited gain platforms and inefficient pumping. We report a new route to visible microlasing based on direct, one-pho…

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Physics Preprint PDF DOI

The final version of a recent approach towards quantum foundation

Inge S. Helland · 2026

In several articles, this author has advocated an alternative approach towards quantum foundation based upon a set of postulates, and based upon the notions of theoretical variables and of accessible …

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Mathematics Preprint PDF DOI

Direct image and pullback of Parabolic vector bundles

Indranil Biswas, Chandranandan Gangopadhyay · 2026

Niels Borne established a natural correspondence between the parabolic vector bundles on curves and vector bundles on root stacks. The notions of direct image of parabolic vector bundles and pullback …

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Physics Preprint PDF DOI

Ultrafast Kilowatt-Range Microwave Pulsing for Enhanced CO2 Conversion in Atmospheric-Pressure Plasmas

S. Soldatov, L. Silberer, C.K. Kiefer, G. Link, A. Navarrete, J. Jelonnek · 2026

Ultrafast microwave power pulsation is demonstrated as an effective strategy to enhance CO2 conversion in atmospheric-pressure plasma reactors. While initial experiments at several hundred watts in a …

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Computer Science Preprint PDF DOI

TORCH: Characterizing Invalid Route Filtering via Tunnelled Observation

Renrui Tian, Yahui Li, Xia Yin, Han Zhang, Xingang Shi, Zhiliang Wang · 2026

To mitigate BGP prefix hijacking, the Resource Public Key Infrastructure (RPKI) provides prefix origin authentication via Route Origin Validation (ROV). Despite extensive measurement efforts in IPv4, …

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Mathematics Preprint PDF DOI

Sharp Landau-Type Theorems and Schlicht Disc Radii for certain Subclasses of Harmonic Mappings

Molla Basir Ahamed, Rajesh Hossain · 2026

Let $\mathcal{H}$ be the class of all complex-valued harmonic mappings $f=h+\overline{g}$ defined on the unit disc $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}$ with the normalization $h(0)=0=h'(0)-1$, here $…

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Mathematics Preprint PDF DOI

2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions

Frank Garvan, Hemjyoti Nath · 2026

In this paper, we develop a unified method for obtaining and proving $m$-dissections of mock theta functions. Our approach builds upon a transformation formula for Appell--Lerch sums due to Hickerson …

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Mathematics Preprint PDF DOI

Bohr's Last Problem Under the Entirety Hypothesis: A Survey with Initial Reductions

Ralph Furmaniak · 2026

Bohr's last problem (1952) asks whether every ordinary Dirichlet series with nonzero Lindel\"of order function $\mu$ has $\mu'(\omega_\mu{-}0)\le-1$; a negative answer would imply Lindel\"of for $\zet…

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Physics Preprint PDF DOI

Testing and Characterization of Wafer-Scale MAPS Prototypes for the ALICE ITS3 Upgrade

Nicolas Tiltmann (on behalf of the ALICE collaboration) · 2026

The ALICE experiment will upgrade the innermost three layers of its vertexing detector, the Inner Tracking System (ITS), during the next LHC Long Shutdown (LS3) with a novel, bent, ultra-light MAPS-ba…

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Physics Preprint PDF DOI

Low-Loss Optical Nanofibers with Submicron Waist Diameters and Millimeter-Scale Waist Lengths

Guanghui Su, Timothy H. Nguyen, Balthazar Loglia, Aaron Weinstein, Hanbo Yang, Nami Uchida, Mariam Mchedlidze, Xuejian Wu · 2026

Optical nanofibers with subwavelength diameters generate strong evanescent fields, enabling efficient light-matter interactions for optical sensing, spectroscopy, and cold-atom experiments. We report …

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Physics Preprint PDF DOI

Evolution of fractality in centrally concentrated young clusters

Almat Akhmetali, Adilkhan Assilkhan, Mordecai-Mark Mac Low, Nurzhan Ussipov, Marat Zaidyn, Ernazar Abdikamalov, Alison Sills, Xiaoying Pang, Bekdaulet Shukirgaliyev · 2026

We investigate the structural evolution of young star clusters forming within centrally concentrated molecular clouds. Our simulations use the Torch framework, which integrates the FLASH magnetohydrod…

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Mathematics Preprint PDF DOI

Le Roy, Lerch and Legendre chi functions and generalised Borel-Le Roy transform

Giuseppe Dattoli, Roberto Ricci (ENEA, Nuclear Department, Frascati Research Center, Frascati (Rome), Italy) · 2026

The Le Roy function has been the focus of intensive research in recent years, owing both to its relevance in analysis and its versatility in applications involving fractional differential operators. O…

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Physics Preprint PDF DOI

SpectralUnmix: A Torch-Based Regularized Non-negative Matrix Factorization

Rafael S. de Souza, Paula Coelho, Niranjana P, Ana L. Chies-Santos, Rogerio Riffel · 2026

We present SpectralUnmix, an R package for regularized non-negative matrix factorization (NMF), implemented in torch with optional GPU acceleration. The package estimates low-rank non-negative represe…

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AI & Data Science Preprint PDF DOI

KernelSkill: A Multi-Agent Framework for GPU Kernel Optimization

Qitong Sun, Jun Han, Tianlin Li, Zhe Tang, Sheng Chen, Fei Yang, Aishan Liu, Xianglong Liu, Yang Liu · 2026

Improving GPU kernel efficiency is crucial for advancing AI systems. Recent work has explored leveraging large language models (LLMs) for GPU kernel generation and optimization. However, existing LLM-…

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AI & Data Science Preprint PDF DOI

Evolving Symbiosis, from Barricelli's Legacy to Collective Intelligence: a simulated and conceptual approach

James Ashford, Marko Cvjetko, Richard Loffler, Berfin Sakallioglu, Alessandro Valerio, Marta Tataryn, Benedikt Hartl, Leo Pio-Lopez, Stefano Nichele · 2026

This report documents the work of our group (named SymBa) at the ALICE 2026 workshop in Copenhagen. Inspired by the pioneering work by Nils Aall Barricelli on symbiogenesis of numerical organisms (i.e…

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Computer Science Preprint PDF DOI

WeldAR: Augmenting Live Hands-On Training with In-Situ Guidance for Novice Learners

Chuhan Xu, Lia Sparingga Purnamasari, Zhenfang Chen, Daragh Byrne, Dina El-Zanfaly · 2026

Extended Reality (XR) systems for physical skill training have largely emphasized simulation rather than real-time in-situ instruction. We present WeldAR, an Augmented Reality (AR) system with five le…

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