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Discovering optimal designs through sequential data collection is essential in many real-world applications. While Bayesian Optimization (BO) has achieved remarkable success in this setting, growing attention has recently turned to…

Machine Learning · Computer Science 2026-04-22 Chih-Yu Chang , Qiyuan Chen , Tianhan Gao , David Fenning , Chinedum Okwudire , Neil Dasgupta , Wei Lu , Raed Al Kontar

Julia has been heralded as a potential successor to Python for scientific machine learning and numerical computing, boasting ergonomic and performance improvements. Since Julia's inception in 2012 and declaration of language goals in 2017,…

Machine Learning · Computer Science 2024-12-23 Edward Berman , Jacob Ginesin

In this paper, we study consensus-based optimization (CBO), which is a multi-agent metaheuristic derivative-free optimization method that can globally minimize nonconvex nonsmooth functions and is amenable to theoretical analysis. Based on…

Numerical Analysis · Mathematics 2024-09-10 Massimo Fornasier , Timo Klock , Konstantin Riedl

Consensus-based optimization (CBO) is a versatile multi-particle metaheuristic optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dimensions. It has proven effective in various applications…

Optimization and Control · Mathematics 2026-05-12 Massimo Fornasier , Peter Richtárik , Konstantin Riedl , Lukang Sun

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

Bayesian Optimisation (BO) refers to a suite of techniques for global optimisation of expensive black box functions, which use introspective Bayesian models of the function to efficiently search for the optimum. While BO has been applied…

We introduce Lyceum, a high-performance computational ecosystem for robot learning. Lyceum is built on top of the Julia programming language and the MuJoCo physics simulator, combining the ease-of-use of a high-level programming language…

Robotics · Computer Science 2020-01-22 Colin Summers , Kendall Lowrey , Aravind Rajeswaran , Siddhartha Srinivasa , Emanuel Todorov

unxt is a Python package for unit-aware computing with JAX. unxt is built on top of quax, which provides a framework for building array-like objects that can be used with JAX. unxt extends quax to provide support for unit-aware computing…

Instrumentation and Methods for Astrophysics · Physics 2026-03-11 Nathaniel Starkman , Adrian Price-Whelan , Jake Nibauer

In recent years, there has been increasing interest in network diffusion models and related problems. The most popular of these are the independent cascade and linear threshold models. Much of the recent experimental work done on these…

Social and Information Networks · Computer Science 2024-04-29 Eliot W. Robson , Dhemath Reddy , Abhishek K. Umrawal

Combinatorial optimization (CO) layers in machine learning (ML) pipelines are a powerful tool to tackle data-driven decision tasks, but they come with two main challenges. First, the solution of a CO problem often behaves as a piecewise…

Machine Learning · Statistics 2022-12-06 Guillaume Dalle , Léo Baty , Louis Bouvier , Axel Parmentier

We present POLO --- a C++ library for large-scale parallel optimization research that emphasizes ease-of-use, flexibility and efficiency in algorithm design. It uses multiple inheritance and template programming to decompose algorithms into…

Optimization and Control · Mathematics 2018-10-09 Arda Aytekin , Martin Biel , Mikael Johansson

Explainable AI (XAI) tools represent a turn to more human-centered and human-in-the-loop AI approaches that emphasize user needs and perspectives in machine learning model development workflows. However, while the majority of ML resources…

Human-Computer Interaction · Computer Science 2024-04-03 Grace Guo , Dustin Arendt , Alex Endert

We describe the development of a multi-purpose software for Bayesian statistical inference, BAT.jl, written in the Julia language. The major design considerations and implemented algorithms are summarized here, together with a test suite…

We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible, easy to use, and fast. We describe the main design choices…

Mathematical Software · Computer Science 2022-01-19 Hendrik Ranocha , Michael Schlottke-Lakemper , Andrew R. Winters , Erik Faulhaber , Jesse Chan , Gregor J. Gassner

Bi-level optimization problems, where one wishes to find the global minimizer of an upper-level objective function over the globally optimal solution set of a lower-level objective, arise in a variety of scenarios throughout science and…

Optimization and Control · Mathematics 2025-05-13 Nicolás García Trillos , Sixu Li , Konstantin Riedl , Yuhua Zhu

We introduce a tensor network library designed for classical and quantum physics simulations called Cytnx (pronounced as sci-tens). This library provides almost an identical interface and syntax for both C++ and Python, allowing users to…

Mathematical Software · Computer Science 2025-03-19 Kai-Hsin Wu , Chang-Teng Lin , Ke Hsu , Hao-Ti Hung , Manuel Schneider , Chia-Min Chung , Ying-Jer Kao , Pochung Chen

In robot control, planning, and learning, there is a need for rigid-body dynamics libraries that are highly performant, easy to use, and compatible with CPUs and accelerators. While existing libraries often excel at either low-latency CPU…

Robotics · Computer Science 2026-05-18 Daniel Morton , Marco Pavone

Lately, a novel swarm intelligence model, namely the consensus-based optimization (CBO) algorithm, was introduced to deal with the global optimization problems. Limited by the conditions of Ito's formula, the convergence analysis of the…

Optimization and Control · Mathematics 2025-01-14 Jiazhen Wei , Wei Bian

The Exascale Computing Project (ECP) is invested in co-design to assure that key applications are ready for exascale computing. Within ECP, the Co-design Center for Particle Applications (CoPA) is addressing challenges faced by…

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