SciML Open Source Scientific Machine Learning

Repositories

• 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 80 360 13 19 Updated Dec 19, 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 92 20 4 Updated Dec 19, 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 49 3 0 Updated Dec 18, 2020

• DiffEqOperators.jl

  Linear operators for discretizations of differential equations and scientific machine learning (SciML)

  julia partial-differential-equations differential-equations fdm differentialequations sde pde
  Julia 43 122 59 5 Updated Dec 18, 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 27 21 2 Updated Dec 18, 2020

• DataDrivenDiffEq.jl

  Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
  Julia MIT 13 110 27 (5 issues need help) 2 Updated Dec 18, 2020

• 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 46 386 127 (1 issue needs help) 14 Updated Dec 18, 2020

• sciml.ai

  The SciML Scientific Machine Learning Software Organization Website

  machine-learning ode dde differential-equations sde dae franklin
  CSS MIT 16 24 1 0 Updated Dec 18, 2020

• RuntimeGeneratedFunctions.jl

  Functions generated at runtime without world-age issues or overhead
  Julia MIT 4 28 3 1 Updated Dec 18, 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 80 426 49 (3 issues need help) 8 Updated Dec 17, 2020

• ResettableStacks.jl

  A stack implementation with a reset! function which avoids garbage collection for scientific machine learning (SciML)

  data-structures scientific-machine-learning sciml
  Julia 8 3 0 1 Updated Dec 17, 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 35 17 2 Updated Dec 17, 2020

• DiffEqPhysics.jl

  A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

  fast ode differential-equations ordinary-differential-equations differentialequations hamiltonian second-order-differential-equations
  Julia 13 34 7 0 Updated Dec 17, 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 90 168 199 (14 issues need help) 22 Updated Dec 17, 2020

• DiffEqBase.jl

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

  ode dde partial-differential-equations differential-equations ordinary-differential-equations differentialequations sde
  Julia 64 84 46 12 Updated Dec 17, 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 52 249 32 3 Updated Dec 16, 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 32 16 1 Updated Dec 16, 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 8 109 10 1 Updated Dec 16, 2020

• GeometricIntegratorsDiffEq.jl

  Wrappers for GeometricIntegrators.jl into the SciML common interface for scientific machine learning (SciML)

  differential-equations geometric-algorithms scientific-machine-learning sciml geometricintegrators
  Julia 5 3 0 3 Updated Dec 16, 2020

• GlobalSensitivity.jl
  Julia MIT 1 2 7 0 Updated Dec 16, 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 27 64 35 2 Updated Dec 15, 2020

• FEniCS.jl

  A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language

  julia partial-differential-equations differential-equations differentialequations pde fenics scientific-machine-learning
  Julia 16 47 12 4 Updated Dec 15, 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 141 100 7 0 Updated Dec 15, 2020

• DelayDiffEq.jl

  Delay differential equation solvers for the SciML scientific machine learning ecosystem

  julia dde differential-equations adaptive differentialequations delay-differential-equations solvers
  Julia 13 23 9 0 Updated Dec 13, 2020

• DiffEqGPU.jl

  GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

  gpu ode dde differential-equations differentialequations sde dae
  Julia MIT 8 76 17 1 Updated Dec 12, 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 19 106 10 0 Updated Dec 11, 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 5 39 16 1 Updated Dec 10, 2020

• RecursiveArrayTools.jl

  Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

  vector array recursion scientific-machine-learning sciml
  Julia 20 79 5 2 Updated Dec 10, 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 5 14 0 0 Updated Dec 10, 2020

• StochasticDiffEq.jl

  Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

  random stochastic noise differential-equations adaptive differentialequations sde
  Julia 29 104 65 (2 issues need help) 6 Updated Dec 9, 2020