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We report on some recent developments in algebraic tensor reduction of one-loop Feynman integrals. For 5-point functions, an efficient tensor reduction was worked out recently and is now available as numerical C++ package, PJFry, covering…

High Energy Physics - Phenomenology · Physics 2012-02-06 Jochem Fleischer , Tord Riemann , Valery Yundin

Reconstructing fields from sparsely observed data is an ill-posed problem that arises in many engineering and science applications. Here, we investigate the use of physics-informed neural networks (PINNs) to reconstruct complete…

Fluid Dynamics · Physics 2024-10-11 Nagahiro Ohashi , Leslie K. Hwang , Beomjin Kwon

Integrate-and-Fire (IF) is an idealized model of the spike-triggering mechanism of a biological neuron. It is used to realize the bio-inspired event-based principle of information processing in neuromorphic computing. We show that IF is…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Bernhard A. Moser , Anna Werzi , Michael Lunglmayr

Deep learning models typically use single-precision (FP32) floating point data types for representing activations and weights, but a slew of recent research work has shown that computations with reduced-precision data types (FP16, 16-bit…

Machine Learning · Computer Science 2021-01-15 Daya Khudia , Jianyu Huang , Protonu Basu , Summer Deng , Haixin Liu , Jongsoo Park , Mikhail Smelyanskiy

We show how to construct a complete set of lowering operators, whose successive application reduces an arbitrary Fenyman integral to a combination of master integrals. The construction builds systems of equations for generic integral…

High Energy Physics - Phenomenology · Physics 2026-02-26 Leonardo de la Cruz , David A. Kosower

The FLARE code is a magnetic mesh generator that is integrated within a suite of tools for the analysis of the magnetic geometry in toroidal fusion devices. A magnetic mesh is constructed from field line segments and permits fast…

Plasma Physics · Physics 2024-09-11 H. Frerichs

FORM, a symbolic manipulation system, has been widely used in a lot of calculations for High Energy Physics due to its high performance and fficient design. Mathematica, another computational software program, has also widely been used, but…

High Energy Physics - Phenomenology · Physics 2012-12-18 Feng Feng , Rolf Mertig

We present ffsim, an open-source software library for fast simulation of fermionic quantum circuits. ffsim exploits conservation of particle number and the z component of spin, symmetries present in a wide range of fermionic systems, to…

In chemistry tabulations and Flamelet combustion models, the Flamelet Generated Manifold (FGM) is recognized for its precision and physical representation. The practical implementation of FGM requires a significant allocation of memory…

Machine Learning · Computer Science 2025-07-03 Reza Lotfi Navaei , Mohammad Safarzadeh , Seyed Mohammad Jafar Sobhani

Analog in-memory computing (AIMC) cores offers significant performance and energy benefits for neural network inference with respect to digital logic (e.g., CPUs). AIMCs accelerate matrix-vector multiplications, which dominate these…

This paper puts forward a framework to accelerate Electromagnetic Transient (EMT) simulations by replacing individual components with trained Physics-Informed Neural Networks (PINNs). EMT simulations are considered the cornerstone of…

The Image Source Method (ISM) is one of the most employed techniques to calculate acoustic Room Impulse Responses (RIRs), however, its computational complexity grows fast with the reverberation time of the room and its computation time can…

Audio and Speech Processing · Electrical Eng. & Systems 2020-10-12 David Diaz-Guerra , Antonio Miguel , Jose R. Beltran

This paper puts forward the vision of creating a library of neural-network-based models for power system simulations. Traditional numerical solvers struggle with the growing complexity of modern power systems, necessitating faster and more…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Ioannis Karampinis , Petros Ellinas , Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

This paper provides the description of a novel, multi-purpose spline library. In accordance with the increasingly diverse modes of usage of splines, it is multi-purpose in the sense that it supports geometry representation, finite element…

Mathematical Software · Computer Science 2020-02-28 Markus Frings , Norbert Hosters , Corinna Müller , Max Spahn , Christoph Susen , Konstantin Key , Stefanie Elgeti

Integration by parts (IBP) has acquired a bad reputation. While it allows us to compute a wide variety of integrals when other methods fall short, its implementation is often seen as plodding and confusing. Readers familiar with tabular IBP…

History and Overview · Mathematics 2016-06-15 John A. Rock

The open source ALPS (Algorithms and Libraries for Physics Simulations) project provides a collection of physics libraries and applications, with a focus on simulations of lattice models and strongly correlated systems. The libraries…

ALHEP is the symbolic algebra program for high-energy physics. It deals with amplitudes calculation, matrix element squaring, Wick theorem, dimensional regularization, tensor reduction of loop integrals and simplification of final…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Makarenko

Integration-by-parts reductions play a central role in perturbative QFT calculations. They allow the set of Feynman integrals contributing to a given observable to be reduced to a small set of basis integrals, and they moreover facilitate…

High Energy Physics - Theory · Physics 2016-07-08 Kasper J. Larsen , Yang Zhang

With the rapid progress of large language models (LLMs), financial information retrieval has become a critical industrial application. Extracting task-relevant information from lengthy financial filings is essential for both operational and…

Artificial Intelligence · Computer Science 2026-04-07 Chun Chet Ng , Jia Yu Lim , Wei Zeng Low

FIAT (the FInite element Automatic Tabulator) provides a powerful Python library for the generation and evaluation of finite element basis functions on a reference element. This release paper describes recent improvements to FIAT aimed at…

Numerical Analysis · Mathematics 2025-12-02 Pablo D. Brubeck , Robert C. Kirby , Fabian Laakmann , Lawrence Mitchell