neural-ode

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

A PyTorch library entirely dedicated to neural differential equations, implicit models and related numerical methods

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

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Closed-form Continuous-time Neural Networks

Jupyter notebook with Pytorch implementation of Neural Ordinary Differential Equations

18.S096 - Applications of Scientific Machine Learning

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

Benchmarks for scientific machine learning (SciML) software, scientific AI, and (differential) equation solvers

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.

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

Code for the paper "Learning Differential Equations that are Easy to Solve"

Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

Arrays with arbitrarily nested named components.

Tensorflow implementation of Ordinary Differential Equation Solvers with full GPU support

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

Repository for the Universal Differential Equations for Scientific Machine Learning paper, describing a computational basis for high performance SciML

Neural Graph Differential Equations (Neural GDEs)

Code for "Infinitely Deep Bayesian Neural Networks with Stochastic Differential Equations"

Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning