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In this article, we propose an interval constraint programming method for globally solving catalog-based categorical optimization problems. It supports catalogs of arbitrary size and properties of arbitrary dimension, and does not require…

Optimization and Control · Mathematics 2024-01-23 Charlie Vanaret

In many problems that involve multiple decision making agents, optimal choices for each agent depend on the choices of others. Differential game theory provides a principled formalism for expressing these coupled interactions and recent…

Multiagent Systems · Computer Science 2020-04-07 Lasse Peters , Zachary N. Sunberg

The julia package integrates the Julia programming language into Stata. Users can transfer data between Stata and Julia, issue Julia commands to analyze and plot, and pass results back to Stata. Julia's econometric ecosystem is not as…

Econometrics · Economics 2025-05-05 David Roodman

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

This year marks the consolidation of Julia (https://julialang.org/), a programming language designed for scientific computing, as the first stable version (1.0) has been released, in August 2018. Among its main features, expressiveness and…

Instrumentation and Methods for Astrophysics · Physics 2018-12-05 Maurizio Tomasi , Mosè Giordano

InvertibleNetworks.jl is a Julia package designed for the scalable implementation of normalizing flows, a method for density estimation and sampling in high-dimensional distributions. This package excels in memory efficiency by leveraging…

Machine Learning · Computer Science 2023-12-22 Rafael Orozco , Philipp Witte , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Bas Peters , Felix J. Herrmann

MomentClosure.jl is a Julia package providing automated derivation of the time-evolution equations of the moments of molecule numbers for virtually any chemical reaction network using a wide range of moment closure approximations. It…

Molecular Networks · Quantitative Biology 2021-05-13 Augustinas Sukys , Ramon Grima

A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special features of optimal control problems.

Optimization and Control · Mathematics 2025-10-20 M. de Leon , D. Martin de Diego , A. Santamaria-Merino

We present NEP-PACK a novel open-source library for the solution of nonlinear eigenvalue problems (NEPs). The package provides a framework to represent NEPs, as well as efficient implementations of many state-of-the-art algorithms. The…

Numerical Analysis · Mathematics 2018-11-26 Elias Jarlebring , Max Bennedich , Giampaolo Mele , Emil Ringh , Parikshit Upadhyaya

Dynamic languages have become popular for scientific computing. They are generally considered highly productive, but lacking in performance. This paper presents Julia, a new dynamic language for technical computing, designed for performance…

Programming Languages · Computer Science 2012-09-25 Jeff Bezanson , Stefan Karpinski , Viral B. Shah , Alan Edelman

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 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

The Julia programming language has gained acceptance within the High-Performance Computing (HPC) community due to its ability to tackle two-language problem: Julia code feels as high-level as Python but allows developers to tune it to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-17 Sergio Sanchez-Ramirez , Mosè Giordano

The Julia programming language was designed to fill the needs of scientific computing by combining the benefits of productivity and performance languages. Julia allows users to write untyped scripts easily without needing to worry about…

Programming Languages · Computer Science 2023-10-27 Benjamin Chung

Optimization models have been applied to solve a wide variety of decision-making problems. These models are usually developed by optimization experts but are used by practitioners without optimization expertise in various application…

An optimal control problem described by the Hamilton-Jacobi-Bellman equation can be developed into a problem that can be solved by general computational fluid dynamics packages. We describe how this formulation would allow a classical…

Fluid Dynamics · Physics 2025-10-22 J. Pratt , M. Schneider , A. Perloff

Optimization problems are pervasive in sectors from manufacturing and distribution to healthcare. However, most such problems are still solved heuristically by hand rather than optimally by state-of-the-art solvers because the expertise…

Artificial Intelligence · Computer Science 2024-02-16 Ali AhmadiTeshnizi , Wenzhi Gao , Madeleine Udell

Datasets encountered in scientific and engineering applications appear in complex formats (e.g., images, multivariate time series, molecules, video, text strings, networks). Graph theory provides a unifying framework to model such datasets…

Mathematical Software · Computer Science 2025-01-09 David L Cole , Victor M Zavala

Julia is a mature general-purpose programming language, with a large ecosystem of libraries and more than 12000 third-party packages, which specifically targets scientific computing. As a language, Julia is as dynamic, interactive, and…

Bridging cultures that have often been distant, Julia combines expertise from the diverse fields of computer science and computational science to create a new approach to numerical computing. Julia is designed to be easy and fast. Julia…

Mathematical Software · Computer Science 2015-07-21 Jeff Bezanson , Alan Edelman , Stefan Karpinski , Viral B. Shah