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We present an open source computational framework geared towards the efficient numerical investigation of open quantum systems written in the Julia programming language. Built exclusively in Julia and based on standard quantum optics…

Quantum Physics · Physics 2018-03-14 Sebastian Krämer , David Plankensteiner , Laurin Ostermann , Helmut Ritsch

We present the Julia package HomotopyContinuation.jl, which provides an algorithmic framework for solving polynomial systems by numerical homotopy continuation. We introduce the basic capabilities of the package and demonstrate the software…

Mathematical Software · Computer Science 2018-05-31 Paul Breiding , Sascha Timme

OutlierDetection.jl is an open-source ecosystem for outlier detection in Julia. It provides a range of high-performance outlier detection algorithms implemented directly in Julia. In contrast to previous packages, our ecosystem enables the…

Machine Learning · Computer Science 2022-11-10 David Muhr , Michael Affenzeller , Anthony D. Blaom

This paper presents the Julia package CCOpt, built on top of the interior-point solver MadNLP. CCOpt implements a suite of algorithms for Mathematical Programs with Complementarity Constraints (MPCCs). The solver additionally comes with…

Optimization and Control · Mathematics 2026-04-23 Anton Pozharskiy , François Pacaud , Moritz Diehl , Armin Nurkanović

Frank-Wolfe (FW) algorithms have emerged as an essential class of methods for constrained optimization, especially on large-scale problems. In this paper, we summarize the algorithmic design choices and progress made in the last years of…

MultiPrecisionArrays.jl is a Julia package. This package provides data structures and solvers for several variants of iterative refinement. It will become much more useful when half precision (aka Float16) is fully supported in LAPACK/BLAS.…

Numerical Analysis · Mathematics 2025-08-11 C. T. Kelley

There are plenty of excellent plotting libraries. Each excels at a different use case: one is good for printed 2D publication figures, the other at interactive 3D graphics, a third has excellent L A TEX integration or is good for creating…

This paper describes jMetalPy, an object-oriented Python-based framework for multi-objective optimization with metaheuristic techniques. Building upon our experiences with the well-known jMetal framework, we have developed a new…

Neural and Evolutionary Computing · Computer Science 2019-04-18 Antonio Benitez-Hidalgo , Antonio J. Nebro , Jose Garcia-Nieto , Izaskun Oregi , Javier Del Ser

Although metaheuristics have been widely recognized as efficient techniques to solve real-world optimization problems, implementing them from scratch remains difficult for domain-specific experts without programming skills. In this…

Neural and Evolutionary Computing · Computer Science 2024-03-01 Aurora Ramírez , José Raúl Romero , Carlos García-Martínez , Sebastián Ventura

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

MacroEnergy.jl (aka Macro) is an open-source framework for multi-sector capacity expansion modeling and analysis of macro-energy systems. It is written in Julia and uses the JuMP package to interface with a wide range of mathematical…

Physics and Society · Physics 2025-10-28 Ruaridh Macdonald , Filippo Pecci , Luca Bonaldo , Jun Wen Law , Yu Weng , Dharik Mallapragada , Jesse Jenkins

Optimization problems are pervasive across various 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, as the…

Artificial Intelligence · Computer Science 2023-11-01 Ali AhmadiTeshnizi , Wenzhi Gao , Madeleine Udell

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

Quantum Physics · Physics 2023-06-07 Amartya Bose

Program synthesis -- the automatic generation of code given a specification -- is one of the most fundamental tasks in artificial intelligence (AI) and the dream of many programmers. Numerous synthesizers have been developed for program…

This paper demonstrates how certified computational tools can be used to address various problems in control theory. In particular, we introduce PACE.jl, a Julia package that implements symbolic elimination techniques, including (among…

Symbolic Computation · Computer Science 2025-05-15 Alexander Demin , Christina Katsamaki , Fabrice Rouillier

This paper is a follow-up to a previous work where we defined and generated the set of all possible compromises of multilevel multiobjective linear programming problems (ML-MOLPP). In this paper, we introduce a new algorithm to solve…

Optimization and Control · Mathematics 2023-10-10 Mustapha Kaci , Sonia Radjef

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

This paper proposes integrating Aspect-oriented Programming (AOP) into Julia, a language widely used in scientific and High-Performance Computing (HPC). AOP enhances software modularity by encapsulating cross-cutting concerns, such as…

Programming Languages · Computer Science 2024-12-30 Osamu Ishimura , Yoshihide Yoshimoto

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

Co-developing scientific algorithms and hardware accelerators requires domain-specific knowledge and large engineering resources. This leads to a slow development pace and high project complexity, which creates a barrier to entry that is…

Software Engineering · Computer Science 2025-03-13 Benedict Short , Ian McInerney , John Wickerson