Dependency Packages

DifferentialEquations.jl2503Multilanguage suite for highperformance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differentialalgebraic equations (DAEs), and more in Julia.

Turing.jl1807Bayesian inference with probabilistic programming.

Plots.jl1710Powerful convenience for Julia visualizations and data analysis

MLJ.jl1589A Julia machine learning framework

ModelingToolkit.jl1212An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physicsinformed machine learning and automated transformations of differential equations

Symbolics.jl1169A fast and modern CAS for a fast and modern language.

AlphaZero.jl1131A generic, simple and fast implementation of Deepmind's AlphaZero algorithm.

DSGE.jl798Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

Oceananigans.jl781🌊 Julia software for fast, friendly, flexible, oceanflavored fluid dynamics on CPUs and GPUs

DiffEqFlux.jl771Universal neural differential equations with O(1) backprop, GPUs, and stiff+nonstiff DE solvers, demonstrating scientific machine learning (SciML) and physicsinformed machine learning methods

JuliaDB.jl765Parallel analytical database in pure Julia

OnlineStats.jl762⚡ Singlepass algorithms for statistics

NeuralNetDiffEq.jl755PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

NeuralPDE.jl755PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

DynamicalSystems.jl725Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

SciMLTutorials.jl694Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

FastAI.jl557Repository of best practices for deep learning in Julia, inspired by fastai

GalacticOptim.jl512Mathematical Optimization in Julia. Local, global, gradientbased and derivativefree. Linear, Quadratic, Convex, MixedInteger, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Optimization.jl512Mathematical Optimization in Julia. Local, global, gradientbased and derivativefree. Linear, Quadratic, Convex, MixedInteger, and Nonlinear Optimization in one simple, fast, and differentiable interface.

ApproxFun.jl486Julia package for function approximation

QuantEcon.jl465Julia implementation of QuantEcon routines

QuantumOptics.jl459Library for the numerical simulation of closed as well as open quantum systems.

SymbolicUtils.jl454Expression rewriting and simplification

ClimateMachine.jl433Climate Machine: an Earth System Model that automatically learns from data

ControlSystems.jl430A Control Systems Toolbox for Julia

OrdinaryDiffEq.jl425High performance ordinary differential equation (ODE) and differentialalgebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Measurements.jl415Error propagation calculator and library for physical measurements. It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration.

Soss.jl401Probabilistic programming via source rewriting

StatsPlots.jl400Statistical plotting recipes for Plots.jl

SymbolicRegression.jl377Distributed HighPerformance symbolic regression in Julia

DataDrivenDiffEq.jl372Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

MeasureTheory.jl367"Distributions" that might not add to one.

StatisticalRethinking.jl366Julia package with selected functions in the R package `rethinking`. Used in the SR2... projects.

Trixi.jl363Trixi.jl: Adaptive highorder numerical simulations of hyperbolic PDEs in Julia

IterativeSolvers.jl358Iterative algorithms for solving linear systems, eigensystems, and singular value problems

BinaryBuilder.jl344Binary Dependency Builder for Julia

DiffEqBiological.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software

Catalyst.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software

DFTK.jl337Densityfunctional toolkit
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