Tootfinder

LEGO-Compiler: Enhancing Neural Compilation Through Translation Composability
Shuoming Zhang, Jiacheng Zhao, Chunwei Xia, Zheng Wang, Yunji Chen, Xiaobing Feng, Huimin Cui
https://arxiv.org/abs/2505.20356

LEGO-Compiler: Enhancing Neural Compilation Through Translation Composability
Large language models (LLMs) have the potential to revolutionize how we design and implement compilers and code translation tools. However, existing LLMs struggle to handle long and complex programs. We introduce LEGO-Compiler, a novel neural compilation system that leverages LLMs to translate high-level languages into assembly code. Our approach centers on three key innovations: LEGO translation, which decomposes the input program into manageable blocks; breaking down the complex compilation p…

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
Farrukh A. Chishtie
https://arxiv.org/abs/2505.22853

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid motion and resolves the Clay Institute's Millennium Prize problem. By introducing complex coordinates $z = x + iy$ and expressing the velocity field as $F = u + iv$, we demonstrate that the nonlinear convection terms decompose as $(u \cdot \nabla)F = F \cdot \frac{\partial F}{\partial z} + F^* \cdot \frac{\partial F}{\p…

Towards Structure-aware Model for Multi-modal Knowledge Graph Completion
Linyu Li, Zhi Jin, Yichi Zhang, Dongming Jin, Chengfeng Dou, Yuanpeng He, Xuan Zhang, Haiyan Zhao
https://arxiv.org/abs/2505.21973

Towards Structure-aware Model for Multi-modal Knowledge Graph Completion
Knowledge graphs (KGs) play a key role in promoting various multimedia and AI applications. However, with the explosive growth of multi-modal information, traditional knowledge graph completion (KGC) models cannot be directly applied. This has attracted a large number of researchers to study multi-modal knowledge graph completion (MMKGC). Since MMKG extends KG to the visual and textual domains, MMKGC faces two main challenges: (1) how to deal with the fine-grained modality information interacti…

What?!
Youtube's algorythm is behaving... hm... weirdly. Now, completely out of the blue, suggests me a 2 days old video on something relating to the ZX Spectrum, with a grand total of 2 views.
What?! Why?!

Chain-of-Thought for Large Language Model-empowered Wireless Communications
Xudong Wang, Jian Zhu, Ruichen Zhang, Lei Feng, Dusit Niyato, Jiacheng Wang, Hongyang Du, Shiwen Mao, Zhu Han
https://arxiv.org/abs/2505.22320

Chain-of-Thought for Large Language Model-empowered Wireless Communications
Recent advances in large language models (LLMs) have opened new possibilities for automated reasoning and decision-making in wireless networks. However, applying LLMs to wireless communications presents challenges such as limited capability in handling complex logic, generalization, and reasoning. Chain-of-Thought (CoT) prompting, which guides LLMs to generate explicit intermediate reasoning steps, has been shown to significantly improve LLM performance on complex tasks. Inspired by this, this …

Generalized derivations of Complex $\omega$-Lie Superalgebras
Jia Zhou
https://arxiv.org/abs/2505.22966 https://arxiv.org/pdf/2505.22…

Generalized derivations of Complex $ω$-Lie Superalgebras
~Let $(g,~[-,-],~ω)$ be a finite-dimensional complex $ω$-Lie superalgebra. This paper explores the algbaraic structures of generalized derivation superalgebra ${\rm GDer}(g)$, compatatible generalized derivations algebra ${\rm GDer}^ω(g)$, and their subvarieties such as quasiderivation superalgebra ${\rm QDer}(g)$(${\rm QDer}^ω(g)$), centroid ${\rm Cent}(g)$ (${\rm Cent}^ω(g)$) and quasicentroid ${\rm QCent}(g)$ (${\rm QCent}^ω(g)$). We prove that ${\rm GDer}^ω(g) = {\rm QDer}^ω(g) + {\…

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
Huachao Zhang, Chang-An Zhao
https://arxiv.org/abs/2505.23274 https://…

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
For a Kummer extension defined by the affine equation $y^{m}=\prod_{i=1}^{r} (x-\a_i)^{λ_i}$ over an algebraic extension $K$ of a finite field $\fq$, where $\la_i\in \Z\backslash\{0\}$ for $1\leq i\leq r$, $\gcd(m,q) = 1$, and $\a_1,\cdots,\a_r\in K$ are pairwise distinct elements, we propose a simple and efficient method to find all pure gaps at many totally ramified places. We introduce a bottom set of pure gaps and indicate that the set of pure gaps is completely determined by the bot…

Moduli spaces of twisted equivariant G-bundles over a curve
Guillermo Barajas
https://arxiv.org/abs/2505.23488 https://arxiv.org/pdf/…

Moduli spaces of twisted equivariant G-bundles over a curve
Let $X$ be a compact Riemann surface, $Γ$ a finite group of automorphisms of $X$ and $G$ a connected reductive complex Lie group with center $Z$. If we equip this data with a homomorphism $θ:Γ\to\text{Aut}(G)$ and a 2-cocycle $c:Γ\timesΓ\to Z$, there is a notion of $(θ,c)$-twisted $Γ$-equivariant $G$-bundle over $X$. The aim of this paper is to construct a coarse moduli space of isomorphism classes of polystable $(θ,c)$-twisted equivariant $G$-bundles over $X$, according to the definiti…

Unveiling the Complex Jet Dynamics in the Blazar 2021 317 through Multi-Epoch VLBI Observations
Haitian Shang, Wei Zhao, Xiaoyu Hong, Leonid I. Gurvits, Ailing Zeng, Tao An, Xiaopeng Cheng
https://arxiv.org/abs/2505.23082

Unveiling the Complex Jet Dynamics in the Blazar 2021+317 through Multi-Epoch VLBI Observations
We present an investigation of the compact structure of the AGN 2021+317 based on multi-epoch Very Long Baseline Interferometry (VLBI) observations at 15, 22, and 43 GHz in the period from 2013 through 2024. The VLBI images show a core-jet structure extended to the south, with two stationary components in the northern region, one of which likely to be the core of the source. We also detected two new moving jet components (S4 and S5) in the observations of 2021. Based on these observational find…

This https://arxiv.org/abs/2406.07612 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Optical and near-infrared spectroscopy of quasars at $z>6.5$: public data release and composite spectrum
We present optical and near-infrared (NIR) spectroscopic observations for a sample of $45$ quasars at $6.50 < z \leq 7.64$ with absolute magnitudes at $1450$ Å in the range $-28.82 \leq M_{1450} \leq -24.13$ and their composite spectrum. The median redshift and $M_{1450}$ of the quasars in the sample are $z_{\rm{median}}=6.71$ and $M_{1450,\rm{median}} \simeq -26.1$, respectively. The NIR spectra are taken with echelle spectrographs, complemented with additional data from optical long slit ins…