SciML Open Source Scientific Machine Learning

Repositories

• ModelingToolkit.jl

  A 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

  computer-algebra julia ode symbolic dde differential-equations ordinary-differential-equations
  Julia 45 358 122 (1 issue needs help) 11 Updated Nov 13, 2020

• NeuralPDE.jl

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

  neural-network ode neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations
  Julia 41 216 26 2 Updated Nov 12, 2020

• ArrayInterface.jl

  Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

  interface primitives arrays base scientific-machine-learning sciml composibility
  Julia MIT 10 34 16 1 Updated Nov 12, 2020

• DiffEqSensitivity.jl

  A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, and more for ODEs, SDEs, DDEs, DAEs, etc.

  ode dde differentialequations sde dae sensitivity-analysis adjoint
  Julia 25 53 42 4 Updated Nov 11, 2020

• GlobalSensitivityAnalysis.jl
  MIT 0 0 0 6 Updated Nov 11, 2020

• GalacticOptim.jl

  Local, global, and beyond optimization for scientific machine learning (SciML)

  optimization automatic-differentiation global-optimization algorithmic-differentiation scientific-machine-learning sciml local-optimization
  Julia MIT 7 93 7 1 Updated Nov 10, 2020

• SciMLBenchmarks.jl

  Benchmarks for scientific machine learning (SciML) software and differential equation solvers

  benchmark ode dde partial-differential-equations differential-equations differentialequations sde
  HTML MIT 20 86 19 0 Updated Nov 10, 2020

• SciMLTutorials.jl

  Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

  python r julia ode dde partial-differential-equations differential-equations
  HTML 74 331 13 18 Updated Nov 10, 2020

• DiffEqJump.jl

  Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

  ssa ode stochastic differential-equations sde gillespie jump-diffusion
  Julia 15 26 21 1 Updated Nov 9, 2020

• OrdinaryDiffEq.jl

  High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

  high-performance ode differential-equations ordinary-differential-equations adaptive differentialequations event-handling
  Julia 85 157 202 (14 issues need help) 22 Updated Nov 9, 2020

• ReservoirComputing.jl

  Reservoir computing utilities for scientific machine learning (SciML)

  machine-learning rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml
  Julia MIT 7 39 3 4 Updated Nov 9, 2020

• DiffEqFlux.jl

  Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

  neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations stochastic-differential-equations delay-differential-equations
  Julia MIT 79 394 44 (3 issues need help) 6 Updated Nov 8, 2020

• DiffEqBayes.jl

  Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

  julia ode dde probabilistic-programming differential-equations stan ordinary-differential-equations
  Julia 17 81 2 1 Updated Nov 7, 2020

• DiffEqDocs.jl

  Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

  ode dde differential-equations sde dae neural-ode scientific-machine-learning
  TeX 138 94 6 0 Updated Nov 7, 2020

• DiffEqDevTools.jl

  Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

  ode developer-tools dde differential-equations sde dae scientific-machine-learning
  Julia 20 28 4 0 Updated Nov 4, 2020

• DiffEqParamEstim.jl

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

  estimation ode dde differential-equations parameter-estimation ordinary-differential-equations differentialequations
  Julia 20 30 15 1 Updated Nov 4, 2020

• ParameterizedFunctions.jl

  A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

  parameters differential-equations jacobian scientific-machine-learning sciml
  Julia 13 56 3 0 Updated Nov 4, 2020

• Surrogates.jl

  Surrogate modeling and optimization for scientific machine learning (SciML)

  high-performance-computing surrogate surrogate-models surrogate-based-optimization surrogates scientific-machine-learning sciml
  Julia 17 84 9 0 Updated Nov 3, 2020

• DataDrivenDiffEq.jl

  Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
  Julia MIT 11 93 25 (5 issues need help) 5 Updated Nov 3, 2020

• GlobalDiffEq.jl

  Differential equation solvers with global error estimation
  Julia MIT 1 3 6 0 Updated Nov 3, 2020

• RuntimeGeneratedFunctions.jl

  Functions generated at runtime without world-age issues or overhead
  Julia MIT 3 27 2 0 Updated Nov 3, 2020

• IfElse.jl

  Under some conditions you may need this function
  Julia MIT 0 1 0 0 Updated Nov 3, 2020

• CellMLToolkit.jl

  CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
  Julia 1 7 0 0 Updated Nov 3, 2020

• AutoOptimize.jl

  Automatic optimization and parallelization for Scientific Machine Learning (SciML)

  gpu high-performance-computing surrogates scientific-machine-learning sciml
  Julia MIT 2 43 4 0 Updated Nov 3, 2020

• HelicopterSciML.jl

  Helicopter Scientific Machine Learning (SciML) Challenge Problem

  machine-learning differential-equations challenge-project scientific-machine-learning sciml
  Julia MIT 3 26 1 0 Updated Nov 3, 2020

• IRKGaussLegendre.jl

  Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)
  Jupyter Notebook MIT 1 12 2 14 Updated Nov 3, 2020

• QuasiMonteCarlo.jl

  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)

  parameter-estimation quasi-monte-carlo scientific-machine-learning sciml physics-informed-learning
  Julia MIT 3 10 0 0 Updated Nov 3, 2020

• deSolveDiffEq.jl

  Wrappers for calling the R deSolve differential equation solvers from Julia for scientific machine learning (SciML)

  r scientific-machine-learning sciml
  Julia MIT 0 2 0 0 Updated Nov 3, 2020

• SciPyDiffEq.jl

  Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization

  python julia scipy differential-equations scientific-machine-learning sciml
  Julia MIT 1 13 0 0 Updated Nov 3, 2020

• Quadrature.jl

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

  integration automatic-differentiation quadrature algorithmic-differentiation differentiable-programming scientific-machine-learning sciml
  Julia MIT 3 28 11 1 Updated Nov 4, 2020