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Technological advances in the past decade, hardware and software alike, have made access to high-performance computing (HPC) easier than ever. We review these advances from a statistical computing perspective. Cloud computing makes access…

Computation · Statistics 2021-07-19 Seyoon Ko , Hua Zhou , Jin J. Zhou , Joong-Ho Won

We present an efficient approach for writing architecture-agnostic parallel high-performance stencil computations in Julia, which is instantiated in the package ParallelStencil.jl. Powerful metaprogramming, costless abstractions and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-01 Samuel Omlin , Ludovic Räss

AcceleratedKernels.jl is introduced as a backend-agnostic library for parallel computing in Julia, natively targeting NVIDIA, AMD, Intel, and Apple accelerators via a unique transpilation architecture. Written in a unified, compact…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-23 Andrei-Leonard Nicusan , Dominik Werner , Simon Branford , Simon Hartley , Andrew J. Morris , Kit Windows-Yule

The Julia programming language continues to gain popularity both for its potential for programmer productivity and for its impressive performance on scientific code. It thus holds potential for large-scale HPC, but we have not yet seen this…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-30 Amal Rizvi , Kyle C. Hale

Microstructure.jl is a Julia package designed for probabilistic estimation of tissue microstructural parameters from diffusion or combined diffusion-relaxometry MRI data. It provides a flexible and extensible framework for defining…

Medical Physics · Physics 2025-05-01 Ting Gong , Anastasia Yendiki

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

Random variables and their distributions are a central part in many areas of statistical methods. The Distributions.jl package provides Julia users and developers tools for working with probability distributions, leveraging Julia features…

Copulas are functions that describe dependence structures of random vectors, without describing their univariate marginals. In statistics, the separation is sometimes useful, the quality and/or quantity of available information on these two…

Computation · Statistics 2024-11-14 Oskar Laverny , Santiago Jimenez

Motivation: Flux balance analysis, and its variants, are widely used methods for predicting steady-state reaction rates in biochemical reaction networks. The exploration of high dimensional networks with such methods is currently hampered…

Quantitative Methods · Quantitative Biology 2016-11-17 Laurent Heirendt , Ronan M. T. Fleming , Ines Thiele

The Julia programming language has evolved into a modern alternative to fill existing gaps in scientific computing and data science applications. Julia leverages a unified and coordinated single-language and ecosystem paradigm and has a…

HPC-based applications often have complex workflows with many software dependencies that hinder their portability on contemporary HPC architectures. In addition, these applications often require extraordinary efforts to deploy and execute…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-14 Sameh Abdulah , Jorge Ejarque , Omar Marzouk , Hatem Ltaief , Ying Sun , Marc G. Genton , Rosa M. Badia , David E. Keyes

Stochastic dominance is a fundamental concept in decision-making under uncertainty and quantitative finance, yet its practical application is hindered by computational intractability due to infinitely many constraints. We introduce the…

Optimization and Control · Mathematics 2025-02-27 Rajmadan Lakshmanan , Alois Pichler

In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to…

Computation · Statistics 2024-08-29 Rim Alhajal , Oskar Laverny

Accurate and efficient methods to simulate nonadiabatic and quantum nuclear effects in high-dimensional and dissipative systems are crucial for the prediction of chemical dynamics in condensed phase. To facilitate effective development,…

We present the preliminary high-level design and features of DynamicPPL.jl, a modular library providing a lightning-fast infrastructure for probabilistic programming. Besides a computational performance that is often close to or better than…

Machine Learning · Computer Science 2020-02-10 Mohamed Tarek , Kai Xu , Martin Trapp , Hong Ge , Zoubin Ghahramani

Multiphase turbulent flow phenomena are observed not only in industrial devices but also in environmental flows, and direct numerical simulation (DNS) plays a key role in their investigation. Many numerical models have been developed;…

Fluid Dynamics · Physics 2026-04-14 Taketo Tominaga , Ryo Onishi

We present a Julia-based interface to the precompiled HALLaR and cuHALLaR binaries for large-scale semidefinite programs (SDPs). Both solvers are established as fast and numerically stable, and accept problem data in formats compatible with…

Optimization and Control · Mathematics 2025-08-25 Jacob Aguirre , Diego Cifuentes , Vincent Guigues , Renato D. C. Monteiro , Victor Hugo Nascimento , Arnesh Sujanani

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

For scientific machine learning tasks with a lot of custom code, picking the right Automatic Differentiation (AD) system matters. Our Julia package DifferentiationInterface$.$jl provides a common frontend to a dozen AD backends, unlocking…

Mathematical Software · Computer Science 2025-05-19 Guillaume Dalle , Adrian Hill

Biological systems with intertwined feedback loops pose a challenge to mathematical modeling efforts. Moreover, rare events, such as mutation and extinction, complicate system dynamics. Stochastic simulation algorithms are useful in…

Quantitative Methods · Quantitative Biology 2018-12-10 Alfonso Landeros , Timothy Stutz , Kevin L. Keys , Alexander Alekseyenko , Janet S. Sinsheimer , Kenneth Lange , Mary Sehl
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