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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 215

  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 888 154

  4. NeuralPDE.jl Public

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

    Julia 1.1k 213

  5. diffeqpy Public

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

    Python 562 42

  6. diffeqr Public

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

    R 144 15

Repositories

Showing 10 of 185 repositories
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    Julia 146 MIT 104 62 (2 issues need help) 33 Updated Apr 9, 2025
  • DataInterpolations.jl Public

    A library of data interpolation and smoothing functions

    Julia 245 MIT 49 26 (2 issues need help) 6 Updated Apr 9, 2025
  • SciMLBenchmarks.jl Public

    Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

    MATLAB 327 MIT 91 35 74 Updated Apr 9, 2025
  • Optimization.jl Public

    Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

    Julia 766 MIT 89 83 (3 issues need help) 15 Updated Apr 9, 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

    Julia 1,496 215 351 (3 issues need help) 83 Updated Apr 9, 2025
  • Catalyst.jl Public

    Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

    Julia 475 79 99 (2 issues need help) 22 Updated Apr 9, 2025
  • LinearSolve.jl Public

    LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

    Julia 254 60 70 (9 issues need help) 9 Updated Apr 9, 2025
  • SymbolicAnalysis.jl Public

    Symbolics-based function property propagation for optimization

    Julia 17 MIT 1 1 5 Updated Apr 8, 2025
  • SurrogatesBase.jl Public

    Basically just a surrogate in disguise

    Julia 5 MIT 3 0 0 Updated Apr 8, 2025
  • SymbolicIndexingInterface.jl Public

    A general interface for symbolic indexing of SciML objects used in conjunction with Domain-Specific Languages

    Julia 17 MIT 9 10 12 Updated Apr 8, 2025