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We present libami, a lightweight implementation of algorithmic Matsubara integration (AMI) written in C++. AMI is a tool for analytically resolving the sequence of nested Matsubara integrals that arise in virtually all Feynman perturbative…

Strongly Correlated Electrons · Physics 2022-08-17 Hossam Elazab , B. D. E. McNiven , J. P. F. LeBlanc

Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the…

High Energy Physics - Phenomenology · Physics 2021-03-29 Wen Chen

Multi-fidelity (MF) regression often operates in regimes of extreme data imbalance, where the commonly-used Gaussian-process (GP) surrogates struggle with cubic scaling costs and overfit to sparse high-fidelity observations, limiting…

Machine Learning · Computer Science 2026-02-02 Rosen Ting-Ying Yu , Nicholas Sung , Faez Ahmed

The PYTHIA program is a standard tool for the generation of high-energy collisions, comprising a coherent set of physics models for the evolution from a few-body hard process to a complex multihadronic final state. It contains a library of…

High Energy Physics - Phenomenology · Physics 2010-04-06 Torbjörn Sjöstrand , Stephen Mrenna , Peter Skands

We apply the Physics Informed Neural Network (PINN) to the problem of wildfire fire-front modelling. We use the PINN to solve the level-set equation, which is a partial differential equation that models a fire-front through the…

Recent advances in Large Language Models (LLMs) have driven the adoption of copilots in complex technical scenarios, underscoring the growing need for specialized information retrieval solutions. In this paper, we introduce FLAIR, a…

Information Retrieval · Computer Science 2025-08-20 William Zhang , Yiwen Zhu , Yunlei Lu , Mathieu Demarne , Wenjing Wang , Kai Deng , Nutan Sahoo , Katherine Lin , Miso Cilimdzic , Subru Krishnan

We present an efficient method to shorten the analytic integration-by-parts (IBP) reduction coefficients of multi-loop Feynman integrals. For our approach, we develop an improved version of Leinartas' multivariate partial fraction…

High Energy Physics - Phenomenology · Physics 2020-12-30 Janko Boehm , Marcel Wittmann , Zihao Wu , Yingxuan Xu , Yang Zhang

We present the "First Light Advanced Ignition Model" (FLAIM), a reduced model for the implosion, adiabatic compression, volume ignition and thermonuclear burn of a spherical DT fuel capsule utilising a high-Z metal pusher. FLAIM is…

The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d=4-2eps dimensions. It may be applied for tadpoles as well as for multi-leg multi-loop scalar and tensor integrals. AMBRE uses a loop-by-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Gluza , K. Kajda , T. Riemann

Spreadsheets are a vital tool for end-user data management. Using large language models for formula authoring assistance in these environments can be difficult, as these models are expensive to train and challenging to deploy due to their…

Programming Languages · Computer Science 2023-12-21 Harshit Joshi , Abishai Ebenezer , José Cambronero , Sumit Gulwani , Aditya Kanade , Vu Le , Ivan Radiček , Gust Verbruggen

We leverage highly successful prior projects sponsored by multiple NSF grants and gifts from industry: the BLAS-like Library Instantiation Software (BLIS) and the libflame efforts to lay the foundation for a new flexible framework by…

Mathematical Software · Computer Science 2026-04-09 Devin A. Matthews , Tze Meng Low , Margaret E. Myers , Devangi N. Parikh , Robert A. van de Geijn

Existing language-based information-flow control (IFC) tools face a fundamental tension: Denning-style systems that track explicit and implicit flows at the variable level typically require compiler modifications, while more coarse-grained…

Programming Languages · Computer Science 2026-04-17 Jeffrey C. Ching , Quan Zhou , Danfeng Zhang

The standard procedure when evaluating integrals of a given family of Feynman integrals, corresponding to some Feynman graph, is to construct an algorithm which provides the possibility to write any particular integral as a linear…

High Energy Physics - Phenomenology · Physics 2021-02-23 A. V. Smirnov , V. A. Smirnov

We present version 3 of Kira, a Feynman integral reduction program for high-precision calculations in quantum field theory and gravitational-wave physics. Building on previous versions, Kira 3 introduces optimized seeding and equation…

High Energy Physics - Phenomenology · Physics 2025-05-27 Fabian Lange , Johann Usovitsch , Zihao Wu

We present a novel approach to optimizing the reduction of Feynman integrals using integration-by-parts identities. By developing a priority function through the FunSearch algorithm, which combines large language models and genetic…

High Energy Physics - Phenomenology · Physics 2025-02-14 Zhuo-Yang Song , Tong-Zhi Yang , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu

This document summarizes the main concepts of the finite element (FE) theory and constitutive relations as implemented in the open-source code phase-field multiphysics materials simulator PHIMATS https://github.com/ahcomat/PHIMATS. PHIMATS…

Numerical Analysis · Mathematics 2025-10-15 Abdelrahman Hussein

In this paper we present a new release of the FIESTA program (Feynman Integral Evaluation by a Sector decomposiTion Approach). FIESTA5 is performance-oriented - we implemented improvements of various kinds in order to make Feynman integral…

High Energy Physics - Phenomenology · Physics 2022-05-18 A. V. Smirnov , N. D. Shapurov , L. I. Vysotsky

This MATLAB program calculates the dynamics of the reduced density matrix of an open quantum system modeled by the Feynman-Vernon model. The user gives the program a vector describing the coordinate of an open quantum system, a hamiltonian…

Quantum Physics · Physics 2015-06-05 Nikesh S. Dattani

A modular application of the integration by fractional expansion (IBFE) method for evaluating Feynman diagrams is extended to diagrams that contain loop triangle subdiagrams in their geometry. The technique is based in the replacement of…

High Energy Physics - Theory · Physics 2009-07-09 Ivan Gonzalez , Ivan Schmidt

We present an overview of a modeling environment, consisting of a coupled atmosphere-wildfire model, utilities for visualization, data processing, and diagnostics, open source software repositories, and a community wiki. The fire model,…