SciML Open Source Scientific Machine Learning

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198 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)
julia parameter-estimation quasi-monte-carlo scientific-machine-learning sciml physics-informed-learning
Julia
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MIT License
•26•117•16•0•Updated Nov 2, 2025Nov 2, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•57•260•41•11•Updated Nov 2, 2025Nov 2, 2025
DataInterpolationsND.jl
Public
Interpolation of arbitrarily high dimensional array data
interpolation sciml
Julia
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MIT License
•6•26•22•2•Updated Nov 2, 2025Nov 2, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•15•107•14•1•Updated Nov 1, 2025Nov 1, 2025
PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
julia high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping
Julia
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Other
•6•19•1•0•Updated Nov 1, 2025Nov 1, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
julia julia-language arrays julialang
Julia
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Other
•14•97•2•1•Updated Nov 1, 2025Nov 1, 2025
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
julia julia-language ode morris-method differential-equations ordinary-differential-equations sensitivity-analysis global-sensitivity-analysis julialang gsa
Julia
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MIT License
•23•60•26•4•Updated Nov 1, 2025Nov 1, 2025
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•2•4•2•5•Updated Oct 31, 2025Oct 31, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•4•10•3•1•Updated Oct 31, 2025Oct 31, 2025
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
julia systems-biology ode differential-equations physiology cellml scientific-machine-learning sciml
Julia
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Other
•17•68•9•2•Updated Oct 31, 2025Oct 31, 2025
BaseModelica.jl
Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
julia ode modelica differential-equations dae sciml symbolic-numeric-computing
Julia
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MIT License
•5•8•7•1•Updated Oct 30, 2025Oct 30, 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
•7•9•0•1•Updated Oct 30, 2025Oct 30, 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.
gpu julia linear-algebra distributed-computing differential-equations factorization amg multigrid krylov-methods linear-solvers
Julia
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Other
•75•272•70•11•Updated Oct 30, 2025Oct 30, 2025
ParameterizedFunctions.jl
Public
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
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Other
•15•78•1•2•Updated Oct 30, 2025Oct 30, 2025
ProcessSimulator.jl
Public
Julia
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MIT License
•7•36•4•3•Updated Oct 30, 2025Oct 30, 2025
ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
machine-learning julia neural-networks ude neural-ode sciml symbolic-numerics
Julia
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MIT License
•7•37•5•2•Updated Oct 30, 2025Oct 30, 2025
CommonSolve.jl
Public
A common solve function for scientific machine learning (SciML) and beyond
interface scientific-machine-learning sciml composibility
Julia
•8•26•1•0•Updated Oct 30, 2025Oct 30, 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 julia ode symbolic dde differential-equations ordinary-differential-equations sde pde
Julia
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Other
•233•1.6k•430•100•Updated Oct 29, 2025Oct 29, 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
•39•335•68•14•Updated Oct 29, 2025Oct 29, 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 julia ode differential-equations ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest scientific-machine-learning
Julia
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Other
•235•609•333•51•Updated Oct 29, 2025Oct 29, 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
•114•168•67•31•Updated Oct 28, 2025Oct 28, 2025
FastPower.jl
Public
A faster approximation to floating point power, at the trade-off of some accuracy
Julia
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MIT License
•3•10•0•2•Updated Oct 28, 2025Oct 28, 2025
SurrogatesBase.jl
Public
Basically just a surrogate in disguise
Julia
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MIT License
•4•5•0•1•Updated Oct 28, 2025Oct 28, 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.
optimization julia automatic-differentiation global-optimization hacktoberfest nonlinear-optimization convex-optimization algorithmic-differentiation mixed-integer-programming scientific-machine-learning
Julia
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MIT License
•100•806•100•8•Updated Oct 28, 2025Oct 28, 2025
BoundaryValueDiffEq.jl
Public
Boundary value problem (BVP) solvers for scientific machine learning (SciML)
gpu differential-equations differentialequations bvp neural-ode scientific-machine-learning neural-differential-equations neural-bvp sciml
Julia
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Other
•40•51•27•11•Updated Oct 27, 2025Oct 27, 2025
SciMLStyle
Public
A style guide for stylish Julia developers
julia style ode scientific-machine-learning sciml
Julia
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MIT License
•19•231•6•1•Updated Oct 27, 2025Oct 27, 2025
ReservoirComputing.jl
Public
Reservoir computing utilities for scientific machine learning (SciML)
machine-learning julia rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml
Julia
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MIT License
•41•217•32•6•Updated Oct 27, 2025Oct 27, 2025
CatalystNetworkAnalysis.jl
Public
Network analysis algorithms for reaction networks modeled using Catalyst.jl
Julia
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MIT License
•1•6•1•2•Updated Oct 27, 2025Oct 27, 2025
ReactionNetworkImporters.jl
Public
Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
biology julia chemical-kinetics differential-equations chemical-reactions gillespie-algorithm
Julia
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MIT License
•9•27•9•4•Updated Oct 27, 2025Oct 27, 2025
sciml.ai
Public
The SciML Scientific Machine Learning Software Organization Website
machine-learning julia julia-language ode dde differential-equations sde dae julialang franklin
CSS
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MIT License
•58•65•7•0•Updated Oct 27, 2025Oct 27, 2025