Dependency Packages
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Flux.jl4466Relax! Flux is the ML library that doesn't make you tensor
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DifferentialEquations.jl2841Multi-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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Turing.jl2026Bayesian inference with probabilistic programming.
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MLJ.jl1779A Julia machine learning framework
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ModelingToolkit.jl1410An 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.jl1353Symbolic programming for the next generation of numerical software
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AlphaZero.jl1232A generic, simple and fast implementation of Deepmind's AlphaZero algorithm.
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NeuralPDE.jl966Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralNetDiffEq.jl966Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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TensorFlow.jl884A Julia wrapper for TensorFlow
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DSGE.jl864Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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DiffEqFlux.jl861Pre-built implicit layer architectures 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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DynamicalSystems.jl834Award winning software library for nonlinear dynamics and nonlinear timeseries analysis
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DiffEqTutorials.jl713Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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GalacticOptim.jl712Mathematical 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.
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Optimization.jl712Mathematical 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.
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Catlab.jl606A framework for applied category theory in the Julia language
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FastAI.jl589Repository of best practices for deep learning in Julia, inspired by fastai
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OrdinaryDiffEq.jl533High 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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QuantumOptics.jl528Library for the numerical simulation of closed as well as open quantum systems.
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Trixi.jl522Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
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Transformers.jl521Julia Implementation of Transformer models
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ControlSystems.jl508A Control Systems Toolbox for Julia
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Catalyst.jl455Chemical 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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DiffEqBiological.jl455Chemical 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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SpeedyWeather.jl425Play atmospheric modelling like it's LEGO.
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Soss.jl414Probabilistic programming via source rewriting
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DataDrivenDiffEq.jl405Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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Molly.jl389Molecular simulation in Julia
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MeasureTheory.jl386"Distributions" that might not add to one.
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GeometricFlux.jl348Geometric Deep Learning for Flux
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DiffEqSensitivity.jl329A 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.
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SciMLSensitivity.jl329A 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.
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Metalhead.jl328Computer vision models for Flux
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Modia.jl321Modeling and simulation of multidomain engineering systems
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DiffEqBase.jl309The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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BifurcationKit.jl301A Julia package to perform Bifurcation Analysis
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DiffEqOperators.jl285Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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DiffEqGPU.jl283GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
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NeuralOperators.jl262DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
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