SciML Open Source Scientific Machine Learning
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- 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
BaseModelica.jl
PublicCatalyst.jl
PublicChemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.- A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
JumpProcesses.jl
PublicBuild 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)- 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
DataInterpolations.jl
PublicCommonSolve.jl
PublicA common solve function for scientific machine learning (SciML) and beyondReservoirComputing.jl
PublicReservoir computing utilities for scientific machine learning (SciML)- A standard library of components to model the world and beyond
- 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.
DataDrivenDiffEq.jl
PublicData driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization- A general interface for symbolic indexing of SciML objects used in conjunction with Domain-Specific Languages
DiffEqGPU.jl
PublicGPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystemSciMLBase.jl
PublicThe Base interface of the SciML ecosystemSciMLBenchmarksOutput
PublicSciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI PerformanceSciMLBenchmarks.jl
PublicScientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R- Fast and automatic structural identifiability software for ODE systems
OrdinaryDiffEq.jl
PublicHigh performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)- The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
NeuralPDE.jl
PublicPhysics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulationIntegrals.jl
PublicA common interface for quadrature and numerical integration for the SciML scientific machine learning organization- Surrogate modeling and optimization for scientific machine learning (SciML)
DifferenceEquations.jl
PublicSciMLDocs
PublicGlobal documentation for the Julia SciML Scientific Machine Learning OrganizationOptimizationBase.jl
Public- Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.