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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 230

  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 209

  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 871 157

  4. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 995 200

  5. diffeqpy diffeqpy Public

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

    Python 542 39

  6. diffeqr diffeqr Public

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

    R 141 14

Repositories

Showing 10 of 180 repositories
  • 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
  • NonlinearSolve.jl Public

    High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

    SciML/NonlinearSolve.jl’s past year of commit activity
    Julia 240 MIT 42 30 (7 issues need help) 7 Updated Nov 19, 2024
  • ExponentialUtilities.jl Public

    Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

    SciML/ExponentialUtilities.jl’s past year of commit activity
  • NeuralOperators.jl Public

    DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

    SciML/NeuralOperators.jl’s past year of commit activity
    Julia 13 MIT 4 6 (1 issue needs help) 4 Updated Nov 19, 2024
  • DataInterpolations.jl Public

    A library of data interpolation and smoothing functions

    SciML/DataInterpolations.jl’s past year of commit activity
    Julia 229 MIT 46 21 (2 issues need help) 4 Updated Nov 19, 2024
  • QuasiMonteCarlo.jl Public

    Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

    SciML/QuasiMonteCarlo.jl’s past year of commit activity
    Julia 103 MIT 26 16 0 Updated Nov 19, 2024
  • ModelingToolkitCourse Public

    A course on composable system modeling, differential-algebraic equations, acausal modeling, compilers for simulation, and building digital twins of real-world devices

    SciML/ModelingToolkitCourse’s past year of commit activity
    Julia 33 MIT 5 0 1 Updated Nov 19, 2024
  • 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 333 70 100 7 Updated Nov 19, 2024
  • SciMLStyle Public

    A style guide for stylish Julia developers

    SciML/SciMLStyle’s past year of commit activity
    Julia 216 MIT 18 6 0 Updated Nov 19, 2024
  • ModelOrderReduction.jl Public

    High-level model-order reduction to automate the acceleration of large-scale simulations

    SciML/ModelOrderReduction.jl’s past year of commit activity
    Julia 38 MIT 6 19 24 Updated Nov 19, 2024

Sponsors

  • @JonasKoziorek
  • @seabbs
  • @pthariensflame
  • @jqfeld
  • @aefarrell
  • @visr
  • @LacraCorcodel
  • @owiecc
  • @scsmithr
  • Private Sponsor

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