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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

Adaptive optics systems are usually prototyped in a convenient but slow language like MATLAB or Python, and then re-written from scratch using high-performance C/C++ to perform real-time control. This duplication of effort adds costs and…

Instrumentation and Methods for Astrophysics · Physics 2024-07-11 William Thompson , Darryl Gamroth , Christian Marois , Olivier Lardière

While high-level languages come with significant readability and maintainability benefits, their performance remains difficult to predict. For example, programmers may unknowingly use language features inappropriately, which cause their…

Programming Languages · Computer Science 2018-09-13 Leif Andersen , Vincent St-Amour , Jan Vitek , Matthias Felleisen

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

We present FrankWolfe.jl, an open-source implementation of several popular Frank-Wolfe and Conditional Gradients variants for first-order constrained optimization. The package is designed with flexibility and high-performance in mind,…

Optimization and Control · Mathematics 2021-10-06 Mathieu Besançon , Alejandro Carderera , Sebastian Pokutta

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

Biclustering is a data mining technique which searches for local patterns in numeric tabular data with main application in bioinformatics. This technique has shown promise in multiple areas, including development of biomarkers for cancer,…

Machine Learning · Computer Science 2021-05-05 Paweł Renc , Patryk Orzechowski , Aleksander Byrski , Jarosław Wąs , Jason H. Moore

JuMP is an open-source modeling language that allows users to express a wide range of optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and nonlinear) in a high-level, algebraic syntax. JuMP takes…

Optimization and Control · Mathematics 2017-05-08 Iain Dunning , Joey Huchette , Miles Lubin

Julia is a new language for writing data analysis programs that are easy to implement and run at high performance. Similarly, the Dynamic Distributed Dimensional Data Model (D4M) aims to clarify data analysis operations while retaining…

Mathematical Software · Computer Science 2016-12-13 Alexander Chen , Alan Edelman , Jeremy Kepner , Vijay Gadepally , Dylan Hutchison

A recent GPU implementation of the Restarted Primal-Dual Hybrid Gradient Method for Linear Programming was proposed in Lu and Yang (2023). Its computational results demonstrate the significant computational advantages of the GPU-based…

Optimization and Control · Mathematics 2024-01-09 Haihao Lu , Jinwen Yang , Haodong Hu , Qi Huangfu , Jinsong Liu , Tianhao Liu , Yinyu Ye , Chuwen Zhang , Dongdong Ge

This paper introduces the TulipaProfileFitting.jl package, a tool developed in Julia for generating renewable energy profiles that fit a specified capacity factor. It addresses the limitations of naive methods in adjusting existing profiles…

Optimization and Control · Mathematics 2024-08-28 Diego A. Tejada-Arango , Germán Morales-España , Abel S. Siqueira , Özge Özdemir

As GPU-accelerated mathematical programming techniques mature, there is growing interest in utilizing them to address the computational challenges of power system optimization. This paper introduces ExaModelsPower.jl, an open-source…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Sanjay Johnson , Dirk Lauinger , Sungho Shin , François Pacaud

Dynamic programming languages face semantic and performance challenges in the presence of features, such as eval, that can inject new code into a running program. The Julia programming language introduces the novel concept of world age to…

Programming Languages · Computer Science 2020-10-19 Julia Belyakova , Benjamin Chung , Jack Gelinas , Jameson Nash , Ross Tate , Jan Vitek

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

High-performance computing systems (HPC) provide powerful capabilities for modeling, simulation, and data analytics for a broad class of computational problems. They enable extreme performance of the order of quadrillion floating-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-01 Saurabh Hukerikar , Christian Engelmann

Programming language design requires making many usability-related design decisions. However, existing HCI methods can be impractical to apply to programming languages: they have high iteration costs, programmers require significant…

We present BSeries.jl, a Julia package for the computation and manipulation of B-series, which are a versatile theoretical tool for understanding and designing discretizations of differential equations. We give a short introduction to the…

Numerical Analysis · Mathematics 2022-12-06 David I. Ketcheson , Hendrik Ranocha

The use of programming languages can wax and wane across the decades. We examine the split-apply- combine pattern that is common in statistical computing, and consider how its invocation or implementation in languages like MATLAB and APL…

Programming Languages · Computer Science 2018-08-16 Jiahao Chen

Recent research in information extraction (IE) focuses on utilizing code-style inputs to enhance structured output generation. The intuition behind this is that the programming languages (PLs) inherently exhibit greater structural…

Computation and Language · Computer Science 2025-05-23 Bo Li , Gexiang Fang , Wei Ye , Zhenghua Xu , Jinglei Zhang , Hao Cheng , Shikun Zhang

Profiling tools (also known as profilers) play an important role in understanding program performance at runtime, such as hotspots, bottlenecks, and inefficiencies. While profilers have been proven to be useful, they give extra burden to…

Software Engineering · Computer Science 2025-08-06 Zhuoran Liu