Bayesian inference with probabilistic programming.

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

Julia Animations and Visualizations

Parallel analytical database in pure Julia

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Repository of best practices for deep learning in Julia, inspired by fastai

Julia package for function approximation

Julia implementation of QuantEcon routines

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Climate Machine: an Earth System Model that automatically learns from data

Density-functional toolkit

Probabilistic programming via source rewriting

Filter design, periodograms, window functions, and other digital signal processing functionality

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

:rocket: Julia package for orthogonal polynomial transforms :snowboarder:

Algorithms inspired by graph Laplacians: linear equation solvers, sparsification, clustering, optimization, etc.

Julia wrapper for the ArrayFire library

A Bayesian Analysis Toolkit in Julia

Computing reachable states of dynamical systems in Julia

Tools for the exploration of chaos and nonlinear dynamics

This library uses the LaTeX package pgfplots to produce plots.

A Julia package for fast discrete wavelet transforms and utilities

A Julia package for solving systems of polynomials via homotopy continuation.

Language for symbolic mathematics

Implementations of the models from the Statistical Rethinking book with Turing.jl

A meta package for data science in julia

Differentiable RayTracing in Julia

A Julia framework for invertible neural networks

Math with more good bits

Algorithms for quantifying associations, independence testing and causal inference from data.

Algorithms for quantifying associations, independence testing and causal inference from data.

A development environment for robust and global optimization

Lasso/Elastic Net linear and generalized linear models

System Identification toolbox, compatible with ControlSystems.jl

Library for finding the roots of a function using interval arithmetic

Algorithms and data structures for game theory in Julia

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.