Dependency Packages

Flux.jl4122Relax! Flux is the ML library that doesn't make you tensor

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.

JuMP.jl1956Modeling language for Mathematical Optimization (linear, mixedinteger, conic, semidefinite, nonlinear)

Turing.jl1807Bayesian inference with probabilistic programming.

Gen.jl1725A generalpurpose probabilistic programming system with programmable inference

Zygote.jl135321st century AD

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.

Optim.jl960Optimization functions for Julia

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

ForwardDiff.jl778Forward Mode Automatic Differentiation for Julia

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

Javis.jl769Julia Animations and Visualizations

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.

LoopVectorization.jl659Macro(s) for vectorizing loops.

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

Gridap.jl539Gridbased approximation of partial differential equations in Julia

Convex.jl510A Julia package for disciplined convex programming

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)

Transformers.jl420Julia Implementation of Transformer models

GeoStats.jl414An extensible framework for highperformance geostatistics in Julia

WaterLily.jl405Fast and simple fluid simulator in Julia

Soss.jl401Probabilistic programming via source rewriting

StaticCompiler.jl395Compiles Julia code to a standalone library (experimental)

SymbolicRegression.jl377Distributed HighPerformance symbolic regression in Julia

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

MixedModels.jl369A Julia package for fitting (statistical) mixedeffects models

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

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