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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 232

  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 1.4k 210

  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 874 153

  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 204

  5. diffeqpy diffeqpy Public

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

    Python 547 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 180 repositories
  • GlobalSensitivity.jl Public

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

    SciML/GlobalSensitivity.jl’s past year of commit activity
    Julia 51 MIT 21 23 3 Updated Jan 4, 2025
  • SciMLSensitivity.jl Public

    A 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.

    SciML/SciMLSensitivity.jl’s past year of commit activity
    Julia 334 72 99 10 Updated Jan 4, 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 570 214 304 (11 issues need help) 45 Updated Jan 4, 2025
  • DeepEquilibriumNetworks.jl Public

    Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

    SciML/DeepEquilibriumNetworks.jl’s past year of commit activity
    Julia 50 MIT 5 0 1 Updated Jan 4, 2025
  • NeuralPDE.jl Public

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

    SciML/NeuralPDE.jl’s past year of commit activity
    Julia 1,016 204 108 (1 issue needs help) 16 Updated Jan 4, 2025
  • Integrals.jl Public

    A common interface for quadrature and numerical integration for the SciML scientific machine learning organization

    SciML/Integrals.jl’s past year of commit activity
    Julia 230 MIT 30 22 (1 issue needs help) 7 Updated Jan 4, 2025
  • SciMLExpectations.jl Public

    Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

    SciML/SciMLExpectations.jl’s past year of commit activity
    Julia 65 20 29 11 Updated Jan 4, 2025
  • RecursiveArrayTools.jl Public

    Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

    SciML/RecursiveArrayTools.jl’s past year of commit activity
    Julia 217 58 26 2 Updated Jan 4, 2025
  • DiffEqParamEstim.jl Public

    Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

    SciML/DiffEqParamEstim.jl’s past year of commit activity
    Julia 59 34 16 8 Updated Jan 4, 2025
  • Surrogates.jl Public

    Surrogate modeling and optimization for scientific machine learning (SciML)

    SciML/Surrogates.jl’s past year of commit activity
    Julia 338 70 36 4 Updated Jan 4, 2025