Computer vision models for Flux

Modeling and simulation of multidomain engineering systems

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

Polynomial manipulations in Julia

A Julia package to perform Bifurcation Analysis

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

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

Julia bindings to Vega-Lite

Types and utility functions for summarizing Markov chain Monte Carlo simulations

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

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

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

Fast jacobian computation through sparsity exploitation and matrix coloring

Robust, modular and efficient implementation of advanced Hamiltonian Monte Carlo algorithms

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

Utility package for accessing common Machine Learning datasets in Julia

Grid-based simulations in Julia

Graph Neural Networks in Julia

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

Stan.jl illustrates the usage of the 'single method' packages, e.g. StanSample, StanOptimize, etc.

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

Raster manipulation for the Julia language

Julia wrapper for the ArrayFire library

Hyperparameter optimization in Julia.

A Bayesian Analysis Toolkit in Julia

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

Computing reachable states of dynamical systems in Julia

Causal inference, graphical models and structure learning in Julia

A Julia package for fast discrete wavelet transforms and utilities

Tools for the exploration of chaos and nonlinear dynamics

This library uses the LaTeX package pgfplots to produce plots.

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

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

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

Language for symbolic mathematics

Julia hybrid constraint programming solver enhanced by a reinforcement learning driven search.

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

Causal, Higher-Order, Probabilistic Programming