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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 1.5k 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 875 154

  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
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    SciML/StructuralIdentifiability.jl’s past year of commit activity
    Julia 112 MIT 17 10 6 Updated Jan 6, 2025
  • SciMLBenchmarksOutput Public

    SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance

    SciML/SciMLBenchmarksOutput’s past year of commit activity
    HTML 18 MIT 4 0 1 Updated Jan 6, 2025
  • ReservoirComputing.jl Public

    Reservoir computing utilities for scientific machine learning (SciML)

    SciML/ReservoirComputing.jl’s past year of commit activity
    Julia 209 MIT 39 25 (4 issues need help) 5 Updated Jan 6, 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 572 215 305 (11 issues need help) 43 Updated Jan 6, 2025
  • DiffEqBase.jl Public

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

    SciML/DiffEqBase.jl’s past year of commit activity
    Julia 321 117 56 11 Updated Jan 6, 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 1,017 204 108 (1 issue needs help) 15 Updated Jan 6, 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) 5 Updated Jan 6, 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 8 Updated Jan 6, 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 2 Updated Jan 6, 2025
  • DifferenceEquations.jl Public

    Solving difference equations with DifferenceEquations.jl and the SciML ecosystem.

    SciML/DifferenceEquations.jl’s past year of commit activity
    Julia 32 MIT 6 14 7 Updated Jan 6, 2025