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These are expanded lecture notes from lectures given at the Workshop on higher structures at MATRIX Melbourne. These notes give an introduction to Feynman categories and their applications. Feynman categories give a universal categorical…

Algebraic Topology · Mathematics 2017-06-02 Ralph M. Kaufmann

The LanHEP program for Feynman rules generation in momentum representation is presented. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with summation…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Semenov

We present a standalone implementation of a data-deconvolution method based on singular value decomposition. The tool is written in python and packaged in the open-source yonder package. yonder receives as input two matrices, one for the…

Instrumentation and Methods for Astrophysics · Physics 2022-05-30 Peng Chen , Rafael S. de Souza

We present a concept of uniform encodability of theories and develop tools related to this concept. As an application we obtain general undecidability results which are uniform for large families of structures. In the way, we define…

Logic · Mathematics 2010-12-07 Hector Pasten , Thanases Pheidas , Xavier Vidaux

In this paper, we present a novel decentralized controller to drive multiple unmanned aerial vehicles (UAVs) into a symmetric formation of regular polygon shape surrounding a mobile target. The proposed controller works for time-varying…

Systems and Control · Computer Science 2017-09-06 Rajdeep Dutta , Chunjiang Qian , Liang Sun , Daniel Pack

This paper presents an ontology of portions of matter with practical implications across scientific and industrial domains. The ontology is developed under the Unified Foundational Ontology (UFO), which uses the concept of quantity to…

Artificial Intelligence · Computer Science 2024-06-04 Lucas Valadares Vieira , Mara Abel , Fabricio Henrique Rodrigues , Tiago Prince Sales , Claudenir M. Fonseca

This work presents UNO, a unified monocular visual odometry framework that enables robust and adaptable pose estimation across diverse environments, platforms, and motion patterns. Unlike traditional methods that rely on deployment-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Wentao Zhao , Yihe Niu , Yanbo Wang , Tianchen Deng , Shenghai Yuan , Zhenli Wang , Rui Guo , Jingchuan Wang

We present the Unified Form Language (UFL), which is a domain-specific language for representing weak formulations of partial differential equations with a view to numerical approximation. Features of UFL include support for variational…

Mathematical Software · Computer Science 2013-04-29 Martin S. Alnaes , Anders Logg , Kristian B. Oelgaard , Marie E. Rognes , Garth N. Wells

A universal process of a process calculus is one that, given the G\"{o}del index of a process of a certain type, produces a process equivalent to the encoded process. This paper demonstrates how universal processes can be formally defined…

Logic in Computer Science · Computer Science 2023-06-22 Yuxi Fu

Vision Foundation Models (VFMs) have become the cornerstone of modern computer vision, offering robust representations across a wide array of tasks. While recent advances allow these models to handle varying input sizes during training,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Bocheng Zou , Mu Cai , Mark Stanley , Dingfu Lu , Yong Jae Lee

A recursive algebraic method which allows to obtain the Feynman or Schwinger parametric representation of a generic L-loops and (E+1) external lines diagram, in a scalar $\phi ^{3}\oplus \phi ^{4}$ theory, is presented. The representation…

High Energy Physics - Theory · Physics 2009-11-11 Ivan Gonzalez , Ivan Schmidt

Text-to-image diffusion models have demonstrated remarkable capabilities in transforming textual prompts into coherent images, yet the computational cost of their inference remains a persistent challenge. To address this issue, we present…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Yanwu Xu , Yang Zhao , Zhisheng Xiao , Tingbo Hou

In practically all extentions of the standard model, the neutrinos naturally acquire a mass. The neutrino mass matrix, however, contains many parameters which can neither be predicted by the prevailing models nor can be fitted to the data.…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. K. Leontaris , J. D. Vergados

The UML allows us to specify models in a precise, complete and unambiguous manner. In particular, the UML addresses the specification of all important decisions regarding analysis, design and implementation. Although UML is not a visual…

Software Engineering · Computer Science 2010-01-26 S. S. Riaz Ahamed

Soft materials play an integral part in many aspects of modern life including autonomy, sustainability, and human health, and their accurate modeling is critical to understand their unique properties and functions. Today's finite element…

Computational Engineering, Finance, and Science · Computer Science 2024-09-24 Mathias Peirlinck , Juan A. Hurtado , Manuel K. Rausch , Adrian Buganza Tepole , Ellen Kuhl

During the last decade, strong observational evidence has been accumulated for the existence of massive, high velocity winds/outflows (aka Ultra Fast Outflows, UFOs) in nearby AGNs and in more distant quasars. Here we briefly review some of…

High Energy Astrophysical Phenomena · Physics 2013-01-31 M. Cappi , F. Tombesi , M. Giustini

Robots are typically described in software by specification files (e.g., URDF, SDF, MJCF, USD) that encode only basic kinematic, dynamic, and geometric information. As a result, downstream applications such as simulation, planning, and…

Robotics · Computer Science 2026-01-01 Roshan Klein-Seetharaman , Daniel Rakita

The computation of renormalized one-loop amplitudes in quantum field theory requires not only the knowledge of the Lagrangian density and the corresponding Feynman rules, but also that of the ultraviolet counterterms. More in general, and…

High Energy Physics - Phenomenology · Physics 2016-05-04 Celine Degrande

A fermion mass matrix ansatz is proposed in the context of Grand Unified Supersymmetric Theories (GUTs). The fermion mass matrices are evolved down to the electroweak scale by solving the renormalization group equations for the gauge and…

High Energy Physics - Phenomenology · Physics 2008-02-03 G. K. Leontaris

A universal quasitriangular $R$--matrix for the non-standard quantum (1+1) Poincar\'e algebra $U_ziso(1,1)$ is deduced by imposing analyticity in the deformation parameter $z$. A family $g_\mu$ of ``quantum graded contractions" of the…

q-alg · Mathematics 2016-09-08 A. Ballesteros , E. Celeghini , F. J. Herranz , M. A. del Olmo , M. Santander