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Many Body in General Relativity: A thermal equivalence principle
Physics > General Physics [Submitted on 31 May 2026] Title:Many Body in General Relativity: A thermal equivalence principle View PDF HTML (experimental)Abstract:We review the physics of many bodies in the context of general relativity. Starting from the stress energy tensor for one body, for a swarm of bodies, for a perfect fluid, we review relativistic hydrodynamics, kinetic theory, and statistical physics of $N$ identical bodies.
Do Transformers Need Three Projections? Systematic Study of QKV Variants
Computer Science > Machine Learning [Submitted on 1 Jun 2026] Title:Do Transformers Need Three Projections? Systematic Study of QKV Variants View PDF HTML (experimental)Abstract:Transformers have become the standard solution for various AI tasks, with the query, key, and value (QKV) attention formulation playing a central role.
Rotary GPU: Exploring Local Execution for Large MoE Models Under Limited VRAM
Performance [Submitted on 27 May 2026] Title:Rotary GPU: Exploring Local Execution Paths for Large Mixture-of-Experts Models Under Limited GPU Memory View PDF HTML (experimental)Abstract:Large language models have achieved remarkable capabilities through scaling, and this paper does not challenge that. It instead investigates a different question: once large models already exist, can they become more accessible to environments with substantially smaller hardware resources?
Variational free complement method with Gaussian-expanded complement functions: convergence with fixed Gaussian expansion length
Physics > Chemical Physics [Submitted on 1 Jun 2026] Title:Variational free complement method with Gaussian-expanded complement functions: convergence with fixed Gaussian expansion length View PDF HTML (experimental)Abstract:For the free complement theory with Gaussian-expanded complement functions, the energy convergence of $n_\mathrm{G} = \mathrm{constant} < \infty, n\rightarrow\infty$ is discussed, where $n_\mathrm{G}$ is the number of the Gaussian functions in the STO-$n$G expansion.
A pictorial introduction to differential geometry (2017)
Differential Geometry [Submitted on 21 Sep 2017] Title:A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures View PDFAbstract:In this article we present pictorially the foundation of differential geometry which is a crucial tool for multiple areas of physics, notably general and special relativity, but also mechanics, thermodynamics and solving differential equations. As all the concepts are presented as pictures, there are no equations in this...
Can LLMs Beat Classical Hyperparameter Optimization Algorithms?
Computer Science > Machine Learning [Submitted on 25 Mar 2026 (v1), last revised 17 Apr 2026 (this version, v5)] Title:Can LLMs Beat Classical Hyperparameter Optimization Algorithms?
Unified Controllable and Faithful Text-to-CAD Generation with LLMs
Computer Science > Computation and Language [Submitted on 27 Mar 2026] Title:PR-CAD: Progressive Refinement for Unified Controllable and Faithful Text-to-CAD Generation with Large Language Models View PDF HTML (experimental)Abstract:The construction of CAD models has traditionally relied on labor-intensive manual operations and specialized expertise. Recent advances in large language models (LLMs) have inspired research into text-to-CAD generation.
Unsupervised Learning Based Focal Stack Camera Depth Estimation
Electrical Engineering and Systems Science > Image and Video Processing [Submitted on 14 Mar 2022 (v1), last revised 3 Jun 2026 (this version, v3)] Title:Unsupervised Learning Based Focal Stack Camera Depth Estimation View PDFAbstract:We propose an unsupervised deep learning based method to estimate depth from focal stack camera images. On the NYU-v2 dataset, our method achieves much better depth estimation accuracy compared to single-image based methods.
Tracing a powerful GNSS interference source over Europe
Electrical Engineering and Systems Science > Signal Processing [Submitted on 2 Jun 2026] Title:Chasing Lightning: Detecting, Characterizing, and Identifying a Powerful Space-Based GNSS Interference Source View PDF HTML (experimental)Abstract:This paper analyzes and identifies a space-based Global Navigation Satellite System (GNSS) interference source that has caused scores of powerful transient wide-area interference events over continental Europe, Greenland, and Canada since 2019.
Nonlinear Arithmetic with SMTLIB Division is Undecidable
Computer Science > Logic in Computer Science [Submitted on 25 May 2026 (v1), last revised 3 Jun 2026 (this version, v3)] Title:Nonlinear Arithmetic with SMTLIB Division is Undecidable View PDF HTML (experimental)Abstract:We show that the nonlinear real arithmetic theory (NRA) as defined in the SMTLIB standard is undecidable.