Dependency Packages
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Flux.jl4122Relax! Flux is the ML library that doesn't make you tensor
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DifferentialEquations.jl2503Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
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JuMP.jl1956Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)
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Turing.jl1807Bayesian inference with probabilistic programming.
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Gen.jl1725A general-purpose probabilistic programming system with programmable inference
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Zygote.jl135321st century AD
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ModelingToolkit.jl1212An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
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Symbolics.jl1169A fast and modern CAS for a fast and modern language.
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AlphaZero.jl1131A generic, simple and fast implementation of Deepmind's AlphaZero algorithm.
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Optim.jl960Optimization functions for Julia
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DSGE.jl798Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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ForwardDiff.jl778Forward Mode Automatic Differentiation for Julia
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DiffEqFlux.jl771Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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Javis.jl769Julia Animations and Visualizations
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NeuralNetDiffEq.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralPDE.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DynamicalSystems.jl725Award winning software library for nonlinear dynamics and nonlinear timeseries analysis
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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LoopVectorization.jl659Macro(s) for vectorizing loops.
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FastAI.jl557Repository of best practices for deep learning in Julia, inspired by fastai
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Gridap.jl539Grid-based approximation of partial differential equations in Julia
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Convex.jl510A Julia package for disciplined convex programming
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QuantEcon.jl465Julia implementation of QuantEcon routines
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QuantumOptics.jl459Library for the numerical simulation of closed as well as open quantum systems.
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SymbolicUtils.jl454Expression rewriting and simplification
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ClimateMachine.jl433Climate Machine: an Earth System Model that automatically learns from data
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ControlSystems.jl430A Control Systems Toolbox for Julia
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OrdinaryDiffEq.jl425High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
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Transformers.jl420Julia Implementation of Transformer models
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GeoStats.jl414An extensible framework for high-performance geostatistics in Julia
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WaterLily.jl405Fast and simple fluid simulator in Julia
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Soss.jl401Probabilistic programming via source rewriting
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StaticCompiler.jl395Compiles Julia code to a standalone library (experimental)
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SymbolicRegression.jl377Distributed High-Performance symbolic regression in Julia
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DataDrivenDiffEq.jl372Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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MixedModels.jl369A Julia package for fitting (statistical) mixed-effects models
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MeasureTheory.jl367"Distributions" that might not add to one.
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StatisticalRethinking.jl366Julia package with selected functions in the R package `rethinking`. Used in the SR2... projects.
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Trixi.jl363Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia
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Catalyst.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
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