Dependency Packages

Flux.jl4466Relax! Flux is the ML library that doesn't make you tensor

DifferentialEquations.jl2841Multilanguage 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.jl2210Modeling language for Mathematical Optimization (linear, mixedinteger, conic, semidefinite, nonlinear)

Turing.jl2026Bayesian inference with probabilistic programming.

Gen.jl1791A generalpurpose probabilistic programming system with programmable inference

Zygote.jl147621st century AD

ModelingToolkit.jl1410An 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.jl1353Symbolic programming for the next generation of numerical software

AlphaZero.jl1232A generic, simple and fast implementation of Deepmind's AlphaZero algorithm.

Optim.jl1116Optimization functions for Julia

NeuralNetDiffEq.jl966PhysicsInformed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

NeuralPDE.jl966PhysicsInformed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

ForwardDiff.jl888Forward Mode Automatic Differentiation for Julia

DSGE.jl864Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

DiffEqFlux.jl861Prebuilt implicit layer architectures with O(1) backprop, GPUs, and stiff+nonstiff DE solvers, demonstrating scientific machine learning (SciML) and physicsinformed machine learning methods

DynamicalSystems.jl834Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

Javis.jl827Julia Animations and Visualizations

LoopVectorization.jl742Macro(s) for vectorizing loops.

DiffEqTutorials.jl713Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

Optimization.jl712Mathematical Optimization in Julia. Local, global, gradientbased and derivativefree. Linear, Quadratic, Convex, MixedInteger, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Gridap.jl691Gridbased approximation of partial differential equations in Julia

WaterLily.jl616Fast and simple fluid simulator in Julia

FastAI.jl589Repository of best practices for deep learning in Julia, inspired by fastai

SymbolicRegression.jl580Distributed HighPerformance Symbolic Regression in Julia

Convex.jl564A Julia package for disciplined convex programming

SymbolicUtils.jl537Symbolic expressions, rewriting and simplification

OrdinaryDiffEq.jl533High performance ordinary differential equation (ODE) and differentialalgebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

QuantumOptics.jl528Library for the numerical simulation of closed as well as open quantum systems.

Trixi.jl522Trixi.jl: Adaptive highorder numerical simulations of conservation laws in Julia

Transformers.jl521Julia Implementation of Transformer models

ControlSystems.jl508A Control Systems Toolbox for Julia

GeoStats.jl506An extensible framework for geospatial data science and geostatistical modeling fully written in Julia

QuantEcon.jl504Julia implementation of QuantEcon routines

StaticCompiler.jl496Compiles Julia code to a standalone library (experimental)

DiffEqBiological.jl455Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software.

Catalyst.jl455Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software.

ClimateMachine.jl451Climate Machine: an Earth System Model that automatically learns from data

DFTK.jl426Densityfunctional toolkit

Soss.jl414Probabilistic programming via source rewriting

DataDrivenDiffEq.jl405Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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