Bayesian inference with probabilistic programming.

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

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.

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

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

Robust robotic localization and mapping, together with NavAbility(TM). Reach out to info@wherewhen.ai for help.

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

System Identification toolbox, compatible with ControlSystems.jl

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

Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Macros and functions to work with DSGE models.

High level functions for analyzing the output of simulations

Preheat your MCMC

Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.

Bayesian Generalized Linear models using `@formula` syntax.

Turing + Makie = Turkie

Robot Motion Estimate: Tools, Variables, and Factors for SLAM in robotics; also see Caesar.jl.

Robust and optimal design and analysis of linear control systems

Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

A Julia package for robust neural networks.

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Methods for computational information geometry

Common functions in actuarial and financial routines

Comparing performance and results of mcmc options using Julia

An interface for accelerated simulation of high-dimensional collisionless and electrostatic plasmas.

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Composable contracts, models, and functions that allow for modeling of both simple and complex financial instruments

Octofitter is a Julia package for performing Bayesian inference against direct images of exoplanets, relative astrometry, and astrometric acceleration of the host star.

Differential equations on manifolds

Manipulation of generalized state-space (descriptor) system representations using Julia

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia

The Julia implementation of the generalised hierarchical Gaussian filter

A Julia implementation of PRONTO

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Lie groups and algebra with some quaternions

A general purpose numerical simulator supporting nested dynamical systems and a convenient macro-based data logger.

Physics-Enhanced Regression for Initial Value Problems

Differentiable JUlia ICE model