Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.

A package that makes it trivial to create and evaluate machine learning pipeline architectures.

Time series toolkit for Julia

A Julia package for data clustering

Special mathematical functions in Julia

Reverse Mode Automatic Differentiation for Julia

Geometric Deep Learning for Flux

Visualization of Julia profiling data

Finite element toolbox for Julia

A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory.

Probabilistic Programming with Gaussian processes in Julia

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

A fast trajectory optimization library written in Julia

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

Surrogate modeling and optimization for scientific machine learning (SciML)

Computer vision models for Flux

Julia solvers for systems of nonlinear equations and mixed complementarity problems

Evolutionary & genetic algorithms for Julia

Modeling and simulation of multidomain engineering systems

Call R from Julia

Simple curve fitting in Julia

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

A Julia package for Gaussian Processes

A differentiable physics engine for robotics

Data structures in Julia to enable power systems analysis. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.

Polynomial manipulations in Julia

A Julia package to perform Bifurcation Analysis

Julia package for Gaussian quadrature

Hypothesis tests for Julia

A JuMP extension for Stochastic Dual Dynamic Programming

Arrays with arbitrarily nested named components.

Julia implementation of various rigid body dynamics and kinematics algorithms

Automatic Differentiation Library for Computational and Mathematical Engineering

Linear operators for discretizations of differential equations and scientific machine learning (SciML)

GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

COSMO: Accelerated ADMM-based solver for convex conic optimisation problems (LP, QP, SOCP, SDP, ExpCP, PowCP). Automatic chordal decomposition of sparse semidefinite programs.

Julia for optimization simulation and modeling of PowerSystems. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.

AMD GPU (ROCm) programming in Julia

Named dimensions and indexing for julia arrays and other data

StateSpaceModels.jl is a Julia package for time-series analysis using state-space models.