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Compilers are indispensable for transforming code written in high-level languages into performant machine code, but their general-purpose optimizations sometimes fall short. Domain experts might be aware of certain optimizations that the…

Programming Languages · Computer Science 2025-07-15 Jules Merckx , Tim Besard , Bjorn De Sutter

We introduce Metatheory.jl: a lightweight and performant general purpose symbolics and metaprogramming framework meant to simplify the act of writing complex Julia metaprograms and to significantly enhance Julia with a native term rewriting…

Programming Languages · Computer Science 2021-04-14 Alessandro Cheli

We introduce the third major version of Metatheory.jl, a Julia library for general-purpose metaprogramming and symbolic computation. Metatheory.jl provides a flexible and performant implementation of e-graphs and Equality Saturation (EqSat)…

Programming Languages · Computer Science 2024-06-04 Alessandro Cheli , Niklas Heim

Technical computing is a challenging application area for programming languages to address. This is evinced by the unusually large number of specialized languages in the area (e.g. MATLAB, R), and the complexity of common software stacks,…

Programming Languages · Computer Science 2018-08-13 Jeff Bezanson , Jake Bolewski , Jiahao Chen

In this paper we present BilevelJuMP, a new Julia package to support bilevel optimization within the JuMP framework. The package is a Julia library that enables the user to describe both upper and lower-level optimization problems using the…

Optimization and Control · Mathematics 2022-12-21 Joaquim Dias Garcia , Guilherme Bodin , Alexandre Street

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

Since time immemorial an old adage has always seemed to ring true: you cannot use a high-level productive programming language like Python or R for real-time control and embedded-systems programming, you must rewrite your program in C. We…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Fredrik Bagge Carlson , Cody Tapscott , Gabriel Baraldi , Chris Rackauckas

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

GPUs are popular devices for accelerating scientific calculations. However, as GPU code is usually written in low-level languages, it breaks the abstractions of high-level languages popular with scientific programmers. To overcome this, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-13 Tim Besard , Pieter Verstraete , Bjorn De Sutter

Increasing emphasis on data and quantitative methods in the biomedical sciences is making biological research more computational. Collecting, curating, processing, and analysing large genomic and imaging data sets poses major computational…

Quantitative Methods · Quantitative Biology 2021-09-22 Elisabeth Roesch , Joe G. Greener , Adam L. MacLean , Huda Nassar , Christopher Rackauckas , Timothy E. Holy , Michael P. H. Stumpf

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…

GPUs and other accelerators are popular devices for accelerating compute-intensive, parallelizable applications. However, programming these devices is a difficult task. Writing efficient device code is challenging, and is typically done in…

Programming Languages · Computer Science 2018-10-23 Tim Besard , Christophe Foket , Bjorn De Sutter

As mathematical computing becomes more democratized in high-level languages, high-performance symbolic-numeric systems are necessary for domain scientists and engineers to get the best performance out of their machine without deep knowledge…

Computation and Language · Computer Science 2022-02-08 Shashi Gowda , Yingbo Ma , Alessandro Cheli , Maja Gwozdz , Viral B. Shah , Alan Edelman , Christopher Rackauckas

We present StochasticPrograms.jl, a user-friendly and powerful open-source framework for stochastic programming written in the Julia language. The framework includes both modeling tools and structure-exploiting optimization algorithms.…

Optimization and Control · Mathematics 2022-09-07 Martin Biel , Mikael Johansson

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

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as…

Optimization and Control · Mathematics 2015-03-20 Miles Lubin , Iain Dunning

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

With the push towards Exascale computing and data-driven methods, problem sizes have increased dramatically, increasing the computational requirements of the underlying algorithms. This has led to a push to offload computations to general…

Software Engineering · Computer Science 2025-12-18 Benedict Short , Ian McInerney , John Wickerson

OptControl.jl(OptControl) implements that modeling optimal control problems with symbolic algebra system based on Julia language, and generates the corresponding numerical optimization codes to solve them with packages from Julia.…

Optimization and Control · Mathematics 2022-08-02 Jingyi Yang , Yuebao Yang , Mingtao Li

We introduce the Scheduling.jl Julia package, which is intended for collaboratively conducting scheduling research and for sharing implementations of algorithms. It provides the fundamental building blocks for implementing scheduling…

Data Structures and Algorithms · Computer Science 2020-03-12 Sascha Hunold , Bartłomiej Przybylski
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