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@SciML

SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

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Websites: Organization Website | Documentation

SciML Organization Stats: SciML Stars

SciML: Differentiable Modeling and Simulation Combined with Machine Learning

The SciML organization is a collection of tools for solving equations and modeling systems developed in the Julia programming language with bindings to other languages such as R and Python. The organization provides well-maintained tools which compose together as a coherent ecosystem. It has a coherent development principle, unified APIs over large collections of equation solvers, pervasive differentiability and sensitivity analysis, and features many of the highest performance and parallel implementations one can find.

Scientific Machine Learning (SciML) = Scientific Computing + Machine Learning

Where to Start?

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  1. DifferentialEquations.jl DifferentialEquations.jl Public

    Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equat…

    Julia 2.9k 234

  2. ModelingToolkit.jl ModelingToolkit.jl Public

    An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning a…

    Julia 1.5k 212

  3. DiffEqFlux.jl DiffEqFlux.jl Public

    Pre-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

    Julia 883 156

  4. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 1k 210

  5. diffeqpy diffeqpy Public

    Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

    Python 555 43

  6. diffeqr diffeqr Public

    Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem

    R 143 15

Repositories

Showing 10 of 183 repositories
  • ReservoirComputing.jl Public

    Reservoir computing utilities for scientific machine learning (SciML)

    SciML/ReservoirComputing.jl’s past year of commit activity
    Julia 211 MIT 39 25 (4 issues need help) 5 Updated Feb 22, 2025
  • DiffEqFlux.jl Public

    Pre-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

    SciML/DiffEqFlux.jl’s past year of commit activity
    Julia 883 MIT 156 38 (1 issue needs help) 3 Updated Feb 22, 2025
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 143 MIT 105 61 (2 issues need help) 31 Updated Feb 22, 2025
  • OrdinaryDiffEq.jl Public

    High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

    SciML/OrdinaryDiffEq.jl’s past year of commit activity
    Julia 576 220 307 (11 issues need help) 44 Updated Feb 22, 2025
  • DiffEqGPU.jl Public

    GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

    SciML/DiffEqGPU.jl’s past year of commit activity
    Julia 290 MIT 32 29 (1 issue needs help) 4 Updated Feb 22, 2025
  • ModelingToolkit.jl Public

    An 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

    SciML/ModelingToolkit.jl’s past year of commit activity
    Julia 1,468 212 336 (3 issues need help) 75 Updated Feb 22, 2025
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    SciML/RuntimeGeneratedFunctions.jl’s past year of commit activity
    Julia 102 MIT 14 14 (1 issue needs help) 0 Updated Feb 22, 2025
  • PoissonRandom.jl Public

    Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)

    SciML/PoissonRandom.jl’s past year of commit activity
    Julia 16 6 1 0 Updated Feb 22, 2025
  • EllipsisNotation.jl Public

    Julia-based implementation of ellipsis array indexing notation `..`

    SciML/EllipsisNotation.jl’s past year of commit activity
    Julia 94 14 2 0 Updated Feb 22, 2025
  • GlobalSensitivity.jl Public

    Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

    SciML/GlobalSensitivity.jl’s past year of commit activity
    Julia 53 MIT 21 25 1 Updated Feb 22, 2025