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Recurrent neural networks (RNNs) are a cornerstone of sequence modeling across various scientific and industrial applications. Owing to their versatility, numerous RNN variants have been proposed over the past decade, aiming to improve the…

Machine Learning · Computer Science 2025-10-27 Francesco Martinuzzi

The Yau-Yau nonlinear filter has increasingly emerged as a powerful tool to study stochastic complex systems. To leverage it to a wider spectrum of application scenarios, we pack the Yau-Yau filtering ALgorithms (YauYauAL) into a package of…

Applications · Statistics 2025-06-12 Yu Wang , Shuyuan Xu , Xueda Wei , Xinrui Luo , Stephen Shing-Toung Yau , Shing-Tung Yau , Rongling Wu

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

Detailed notes on the functions included in the DMRjulia library are included here. This discussion of how to program functions for a tensor network library are intended to be a supplement to the other documentation dedicated to explaining…

Quantum Physics · Physics 2021-11-30 Thomas E. Baker , Martin P. Thompson

The D4M tool is used by hundreds of researchers to perform complex analytics on unstructured data. Over the past few years, the D4M toolbox has evolved to support connectivity with a variety of database engines, graph analytics in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-13 Lauren Milechin , Alexander Chen , Vijay Gadepally , Dylan Hutchison , Siddharth Samsi , Jeremy Kepner

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

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…

We present MultiObjectiveAlgorithms.jl, an open-source Julia library for solving multi-objective optimization problems written in JuMP. MultiObjectiveAlgorithms.jl implements a number of different solution algorithms, which all rely on an…

Optimization and Control · Mathematics 2026-05-26 Oscar Dowson , Xavier Gandibleux , Gökhan Kof

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

Connectivity across landscapes influences a wide range of conservation-relevant ecological processes, including species movements, gene flow, and the spread of wildfire, pests, and diseases. Recent improvements in remote sensing data…

Quantitative Methods · Quantitative Biology 2019-06-11 Ranjan Anantharaman , Kimberly Hall , Viral Shah , Alan Edelman

Combustion kinetic modeling is an integral part of combustion simulation, and extensive studies have been devoted to developing both high fidelity and computationally affordable models. Despite these efforts, modeling combustion kinetics is…

Scientific legacy code in MATLAB/Octave not compatible with modernization of research workflows is vastly abundant throughout academic community. Performance of non-vectorized code written in MATLAB/Octave represents a major burden. A new…

Software Engineering · Computer Science 2017-01-10 Vardan Andriasyan , Yauhen Yakimovich , Artur Yakimovich

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

The growing proliferation of FPGAs and High-level Synthesis (HLS) tools has led to a large interest in designing hardware accelerators for complex operations and algorithms. However, existing HLS toolflows typically require a significant…

Software Engineering · Computer Science 2022-02-18 Benjamin Biggs , Ian McInerney , Eric C. Kerrigan , George A. Constantinides

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

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

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

Real-world complex networks are usually being modeled as graphs. The concept of graphs assumes that the relations within the network are binary (for instance, between pairs of nodes); however, this is not always true for many real-life…

Social and Information Networks · Computer Science 2020-05-06 Alessia Antelmi , Gennaro Cordasco , Bogumił Kamiński , Paweł Prałat , Vittorio Scarano , Carmine Spagnuolo , Przemyslaw Szufel

In this paper we present GridapTopOpt, an extendable framework for level set-based topology optimisation that can be readily distributed across a personal computer or high-performance computing cluster. The package is written in Julia and…

Mathematical Software · Computer Science 2026-01-26 Zachary J. Wegert , Jordi Manyer , Connor Mallon , Santiago Badia , Vivien J. Challis

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