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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 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 235

  2. 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 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 887 155

  4. NeuralPDE.jl Public

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

    Julia 1.1k 212

  5. diffeqpy Public

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

    Python 558 42

  6. 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
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    Julia 102 MIT 14 14 (1 issue needs help) 0 Updated Mar 22, 2025
  • PoissonRandom.jl Public

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

    Julia 16 6 1 0 Updated Mar 22, 2025
  • ModelingToolkitStandardLibrary.jl Public

    A standard library of components to model the world and beyond

    Julia 133 MIT 42 35 22 Updated Mar 22, 2025
  • EllipsisNotation.jl Public

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

    Julia 94 14 2 0 Updated Mar 22, 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.

    Julia 345 75 102 10 Updated Mar 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

    Julia 887 MIT 155 38 (1 issue needs help) 3 Updated Mar 22, 2025
  • DataDrivenDiffEq.jl Public

    Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

    Julia 411 MIT 58 79 (5 issues need help) 6 Updated Mar 22, 2025
  • DataInterpolations.jl Public

    A library of data interpolation and smoothing functions

    Julia 243 MIT 47 26 (2 issues need help) 5 Updated Mar 22, 2025
  • NonlinearSolve.jl Public

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

    Julia 255 MIT 46 34 (6 issues need help) 10 Updated Mar 22, 2025
  • Julia 1 MIT 0 1 0 Updated Mar 22, 2025