SciML Open Source Scientific Machine Learning

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180 repositories

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)
parameter-estimation quasi-monte-carlo physics-informed-learning julia scientific-machine-learning sciml
Julia
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MIT License
•26•105•16•0•Updated Jan 5, 2025Jan 5, 2025
ComponentArrays.jl
Public
Arrays with arbitrarily nested named components.
machine-learning simulation optimization julia modeling array controls neural-networks arrays dynamical-systems
Julia
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MIT License
•35•302•68•12•Updated Jan 5, 2025Jan 5, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•46•239•23•4•Updated Jan 5, 2025Jan 5, 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
computer-algebra optimization symbolic dde ordinary-differential-equations sde pde dae stochastic-differential-equations delay-differential-equations
Julia
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Other
•210•1.5k•316•64•Updated Jan 5, 2025Jan 5, 2025
ReactionNetworkImporters.jl
Public
Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
biology chemical-kinetics differential-equations chemical-reactions gillespie-algorithm julia
Julia
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MIT License
•9•26•8•0•Updated Jan 5, 2025Jan 5, 2025
SciMLBase.jl
Public
The Base interface of the SciML ecosystem
julia ode dde ordinary-differential-equations differentialequations sde dae scientific-machine-learning sciml
Julia
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MIT License
•104•141•62•33•Updated Jan 5, 2025Jan 5, 2025
SciMLBenchmarks.jl
Public
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
python benchmark ai julia matlab pytorch ode partial-differential-equations differential-equations differentialequations
MATLAB
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MIT License
•86•319•35•79•Updated Jan 5, 2025Jan 5, 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
neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations stochastic-differential-equations delay-differential-equations pinn neural-ode scientific-machine-learning
Julia
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MIT License
•154•875•38•3•Updated Jan 5, 2025Jan 5, 2025
SciMLStructures.jl
Public
A structure interface for SciML to give queryable properties from user data and parameters
api interfaces
Julia
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MIT License
•5•8•0•1•Updated Jan 5, 2025Jan 5, 2025
SciMLDocs
Public
Global documentation for the Julia SciML Scientific Machine Learning Organization
documentation julia scientific-machine-learning sciml
Julia
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MIT License
•44•63•16•2•Updated Jan 5, 2025Jan 5, 2025
OptimizationBase.jl
Public
The base package for Optimization.jl, containing the structs and basic functions for it.
Julia
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MIT License
•7•15•12•1•Updated Jan 5, 2025Jan 5, 2025
DifferenceEquations.jl
Public
Solving difference equations with DifferenceEquations.jl and the SciML ecosystem.
Julia
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MIT License
•6•32•14•8•Updated Jan 5, 2025Jan 5, 2025
StructuralIdentifiability.jl
Public
Fast and automatic structural identifiability software for ODE systems
parameter-estimation differentialequations structural-identifiability julia
Julia
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MIT License
•17•112•10•5•Updated Jan 4, 2025Jan 4, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•14•100•14•0•Updated Jan 4, 2025Jan 4, 2025
PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping julia
Julia
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Other
•6•16•1•0•Updated Jan 4, 2025Jan 4, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
arrays julia julia-language julialang
Julia
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Other
•14•90•2•0•Updated Jan 4, 2025Jan 4, 2025
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
ode morris-method ordinary-differential-equations sensitivity-analysis global-sensitivity-analysis gsa sobol-method efast julia julia-language
Julia
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MIT License
•21•51•23•3•Updated Jan 4, 2025Jan 4, 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.
ode dde differentialequations sde dae sensitivity-analysis hacktoberfest adjoint backpropogation neural-ode
Julia
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Other
•72•334•99•10•Updated Jan 4, 2025Jan 4, 2025
OrdinaryDiffEq.jl
Public
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
high-performance ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest julia ode differential-equations scientific-machine-learning
Julia
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Other
•215•572•305•45•Updated Jan 4, 2025Jan 4, 2025
DeepEquilibriumNetworks.jl
Public
Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.
nonlinear-equations deep-equilibrium-models implicit-deep-learning nonlinear-solve machine-learning deep-learning julia neural-networks
Julia
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MIT License
•5•50•0•1•Updated Jan 4, 2025Jan 4, 2025
NeuralPDE.jl
Public
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
machine-learning neural-network ode neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations pde pinn
Julia
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Other
•204•1k•108•16•Updated Jan 4, 2025Jan 4, 2025
Integrals.jl
Public
A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
integration automatic-differentiation quadrature numerical-integration algorithmic-differentiation differentiable-programming julia julia-language julialang scientific-machine-learning
Julia
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MIT License
•30•230•22•7•Updated Jan 4, 2025Jan 4, 2025
SciMLExpectations.jl
Public
Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
integration differentialequations uncertainty-quantification uq julia ode differential-equations scientific-machine-learning sciml
Julia
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Other
•20•65•29•11•Updated Jan 4, 2025Jan 4, 2025
RecursiveArrayTools.jl
Public
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
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Other
•58•217•26•2•Updated Jan 4, 2025Jan 4, 2025
DiffEqParamEstim.jl
Public
Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions
estimation ode dde differential-equations parameter-estimation ordinary-differential-equations differentialequations sde dae stochastic-differential-equations
Julia
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Other
•34•59•16•8•Updated Jan 4, 2025Jan 4, 2025
Surrogates.jl
Public
Surrogate modeling and optimization for scientific machine learning (SciML)
high-performance-computing surrogate surrogate-models surrogate-based-optimization surrogates sciml optimization julia automatic-differentiation differential-equations
Julia
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Other
•70•338•36•4•Updated Jan 4, 2025Jan 4, 2025
HighDimPDE.jl
Public
A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality
machine-learning deep-learning julia neural-networks differential-equations pde pde-solver scientific-machine-learning sciml feynman-kac
Julia
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Other
•10•76•7•8•Updated Jan 4, 2025Jan 4, 2025
ReservoirComputing.jl
Public
Reservoir computing utilities for scientific machine learning (SciML)
rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml machine-learning julia
Julia
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MIT License
•39•209•27•6•Updated Jan 3, 2025Jan 3, 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.
simulation biology dsl julia systems-biology ode reaction-network differential-equations sde chemical-reactions
Julia
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Other
•79•467•95•15•Updated Jan 3, 2025Jan 3, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•3•8•3•0•Updated Jan 3, 2025Jan 3, 2025