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Proprietary closed-source software is still the norm in advanced process control. Transparency and reproducibility are key aspects of scientific research. Free and open-source toolkit can contribute to the development, sharing and…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Francis Gagnon , Alex Thivierge , André Desbiens , Fredrik Bagge Carlson

We present ADerrors.jl, a software for linear error propagation and analysis of Monte Carlo data. Although the focus is in data analysis in Lattice QCD, where estimates of the observables have to be computed from Monte Carlo samples, the…

High Energy Physics - Lattice · Physics 2020-12-22 Alberto Ramos

We present FractionalDiffEq.jl, a comprehensive solver suite for solving fractional differential equations, featuring high-performance numerical algorithms in the Julia programming language. FractionalDiffEq.jl is designed to be…

Numerical Analysis · Mathematics 2025-06-10 Qingyu Qu , Wei Ruan

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann

TopologicalNumbers.jl is an open-source Julia package designed to calculate topological invariants, mathematical quantities that characterize the properties of materials in condensed matter physics. These invariants, such as the Chern…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Keisuke Adachi , Minoru Kanega

Scorio.jl is a Julia package for evaluating and ranking systems from repeated responses to shared tasks. It provides a common tensor-based interface for direct score-based, pairwise, psychometric, voting, graph, and listwise methods, so the…

Mathematical Software · Computer Science 2026-03-17 Mohsen Hariri , Michael Hinczewski , Vipin Chaudhary

We present DataDeps.jl: a julia package for the reproducible handling of static datasets to enhance the repeatability of scripts used in the data and computational sciences. It is used to automate the data setup part of running software…

Software Engineering · Computer Science 2018-08-06 Lyndon White , Roberto Togneri , Wei Liu , Mohammed Bennamoun

We present the Julia interface Polymake.jl to polymake, a software for research in polyhedral geometry. We describe the technical design and how the integration into Julia makes it possible to combine polymake with state-of-the-art…

Combinatorics · Mathematics 2020-03-26 Marek Kaluba , Benjamin Lorenz , Sascha Timme

This paper describes a new MATLAB software package of iterative regularization methods and test problems for large-scale linear inverse problems. The software package, called IR Tools, serves two related purposes: we provide implementations…

Numerical Analysis · Mathematics 2018-07-03 Silvia Gazzola , Per Christian Hansen , James G. Nagy

We introduce SignatureTensors.jl, a new package for computing signature tensors of paths in julia. We present its core functionality and demonstrate its use through illustrative examples. The package is compatible with the computer algebra…

Symbolic Computation · Computer Science 2026-04-22 Gabriel Riffo , Leonard Schmitz

We present a new package for Mathematica system, called Libra. Its purpose is to provide convenient tools for the transformation of the first-order differential systems $\partial_i \boldsymbol j = M_i \boldsymbol j$ for one or several…

High Energy Physics - Phenomenology · Physics 2021-07-07 Roman N. Lee

The importance of computers is continually increasing in radiotherapy. Efficient algorithms, implementations and the ability to leverage advancements in computer science are crucial to improve cancer care even further and deliver the best…

Medical Physics · Physics 2024-07-08 Renato Bellotti , Antony J. Lomax , Andreas Adelmann , Jan Hrbacek

As astronomical data grows in volume and complexity, the scalability of analysis software becomes increasingly important. At the same time, astrophysics analysis software relies heavily on open-source contributions, so languages and tools…

Instrumentation and Methods for Astrophysics · Physics 2024-02-01 Edward Berman , Jacqueline McCleary

We introduce DiffOpt.jl, a Julia library to differentiate through the solution of optimization problems with respect to arbitrary parameters present in the objective and/or constraints. The library builds upon MathOptInterface, thus…

Machine Learning · Computer Science 2023-08-01 Mathieu Besançon , Joaquim Dias Garcia , Benoît Legat , Akshay Sharma

The polylogarithm function is one of the constellation of important mathematical functions. It has a long history, and many connections to other special functions and series, and many applications, for instance in statistical physics.…

Numerical Analysis · Mathematics 2020-10-21 Matthew Roughan

We describe the development of a multi-purpose software for Bayesian statistical inference, BAT.jl, written in the Julia language. The major design considerations and implemented algorithms are summarized here, together with a test suite…

Recent development on mixed precision techniques has largely enhanced the performance of various linear algebra solvers, one of which being the solver for the least squares problem $\min_{x}\lVert b-Ax\rVert_{2}$. By transforming least…

Numerical Analysis · Mathematics 2025-09-09 Bowen Gao , Yuxin Ma , Meiyue Shao

TensorKit.jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to…

Mathematical Software · Computer Science 2025-08-15 Lukas Devos , Jutho Haegeman

DiffEqFlux.jl is a library for fusing neural networks and differential equations. In this work we describe differential equations from the viewpoint of data science and discuss the complementary nature between machine learning models and…

Machine Learning · Computer Science 2019-02-08 Chris Rackauckas , Mike Innes , Yingbo Ma , Jesse Bettencourt , Lyndon White , Vaibhav Dixit

Automatic program repair (APR) aims to reduce the manual efforts required to identify and fix errors in source code. Before the rise of LLM-based agents, a common strategy was to increase the number of generated patches, sometimes to the…

Software Engineering · Computer Science 2025-05-07 Fernando Vallecillos Ruiz , Max Hort , Leon Moonen