SciML Open Source Scientific Machine Learning

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183 repositories

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.
automatic-differentiation global-optimization hacktoberfest nonlinear-optimization convex-optimization algorithmic-differentiation mixed-integer-programming derivative-free-optimization sciml local-optimization
Julia
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MIT License
•88•756•75•14•Updated Mar 11, 2025Mar 11, 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•323•34•70•Updated Mar 11, 2025Mar 11, 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
•18•113•9•7•Updated Mar 10, 2025Mar 10, 2025
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•1•3•2•2•Updated Mar 10, 2025Mar 10, 2025
ModelingToolkitStandardLibrary.jl
Public
A standard library of components to model the world and beyond
ode scientific-computing modelica ordinary-differential-equations sde blockmodels scientific-machine-learrning acausal julia differential-equations
Julia
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MIT License
•42•133•36•24•Updated Mar 10, 2025Mar 10, 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•470•96•20•Updated Mar 10, 2025Mar 10, 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•211•26•8•Updated Mar 10, 2025Mar 10, 2025
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•106•16•0•Updated Mar 9, 2025Mar 9, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•47•242•25•4•Updated Mar 9, 2025Mar 9, 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 Mar 9, 2025Mar 9, 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
•73•341•36•1•Updated Mar 8, 2025Mar 8, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•14•102•14•0•Updated Mar 8, 2025Mar 8, 2025
sciml.ai
Public
The SciML Scientific Machine Learning Software Organization Website
machine-learning julia julia-language ode dde sde dae julialang franklin neural-ode
CSS
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MIT License
•43•55•7•0•Updated Mar 8, 2025Mar 8, 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 Mar 8, 2025Mar 8, 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
•210•1k•108•19•Updated Mar 8, 2025Mar 8, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
arrays julia julia-language julialang
Julia
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Other
•14•94•2•0•Updated Mar 8, 2025Mar 8, 2025
MethodOfLines.jl
Public
Automatic Finite Difference PDE solving with Julia SciML
parallel-computing high-performance-computing partial-differential-equations pde symbolic-computation finite-difference-method scientific-ml julia sciml
Julia
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MIT License
•33•171•97•8•Updated Mar 8, 2025Mar 8, 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•53•25•1•Updated Mar 8, 2025Mar 8, 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
•46•69•16•1•Updated Mar 7, 2025Mar 7, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•3•9•3•0•Updated Mar 7, 2025Mar 7, 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
•105•144•59•32•Updated Mar 7, 2025Mar 7, 2025
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
systems-biology physiology cellml julia ode differential-equations scientific-machine-learning sciml
Julia
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Other
•17•63•9•2•Updated Mar 7, 2025Mar 7, 2025
PreallocationTools.jl
Public
Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes
automatic-differentiation garbage-collection high-performance-computing differentiable-programming
Julia
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Other
•15•118•3•0•Updated Mar 7, 2025Mar 7, 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•0•Updated Mar 6, 2025Mar 6, 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
•3•7•4•0•Updated Mar 6, 2025Mar 6, 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 jacobian differential-equations scientific-machine-learning sciml
Julia
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Other
•18•76•1•1•Updated Mar 6, 2025Mar 6, 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 distributed-computing factorization amg multigrid krylov-methods linear-solvers preconditioners sciml newton-krylov
Julia
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Other
•60•252•68•9•Updated Mar 6, 2025Mar 6, 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
•73•342•102•9•Updated Mar 6, 2025Mar 6, 2025
ADTypes.jl
Public
Repository for automatic differentiation backend types
julia automatic-differentiation autodiff
Julia
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MIT License
•15•45•7•2•Updated Mar 6, 2025Mar 6, 2025
ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric 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
•2•27•5•0•Updated Mar 6, 2025Mar 6, 2025