Dependency Packages

DifferentialEquations.jl1769Multilanguage suite for highperformance solvers of differential equations and scientific machine learning (SciML) components

Optim.jl703Optimization functions for Julia

DSGE.jl643Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

DiffEqFlux.jl510Universal neural differential equations with O(1) backprop, GPUs, and stiff+nonstiff DE solvers, demonstrating scientific machine learning (SciML) and physicsinformed machine learning methods

DiffEqTutorials.jl452Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

QuantEcon.jl375Julia implementation of QuantEcon routines

NeuralNetDiffEq.jl327PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

NeuralPDE.jl327PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

QuantumOptics.jl324Library for the numerical simulation of closed as well as open quantum systems.

OpticSim.jl290Optical Simulation software

Soss.jl268Probabilistic programming via source rewriting

GeoStats.jl243An extensible framework for highperformance geostatistics in Julia

StatisticalRethinking.jl233Julia version of selected functions in the R package `rethinking`. Used in the StatisticalRethinkingStan and StatisticalRethinkingTuring projects.

GaussianProcesses.jl221A Julia package for Gaussian Processes

Modia.jl207Modeling and simulation of multidomain engineering systems

GalacticOptim.jl178Local, global, and beyond optimization for scientific machine learning (SciML)

DataDrivenDiffEq.jl170Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

DFTK.jl164Densityfunctional toolkit

LowRankModels.jl163LowRankModels.jl is a julia package for modeling and fitting generalized low rank models.

StochasticDiffEq.jl137Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

StateSpaceModels.jl127StateSpaceModels.jl is a Julia package for timeseries analysis using statespace models.

Caesar.jl109Robot toolkit: Towards nonparametric and parametric navigation solutions

SymbolicRegression.jl102Distributed HighPerformance symbolic regression in Julia

TuringModels.jl101Turing version of StatisticalRethinking models.

BAT.jl98A Bayesian Analysis Toolkit in Julia

DiffEqBayes.jl94Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

DiffEqSensitivity.jl90A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimizethendiscretize, discretizethenoptimize, and more for ODEs, SDEs, DDEs, DAEs, etc.

Hyperopt.jl88Hyperparameter optimization in Julia.

Jusdl.jl76Causal.jl  A modeling and simulation framework adopting causal modeling approach.

Causal.jl76Causal.jl  A modeling and simulation framework adopting causal modeling approach.

Mads.jl75MADS: Model Analysis & Decision Support

ClimateTools.jl70Climate science package for Julia

ReservoirComputing.jl66Reservoir computing utilities for scientific machine learning (SciML)

ControlSystemIdentification.jl65System Identification toolbox for LTI systems, compatible with ControlSystems.jl

TSAnalysis.jl64This package includes basic tools for time series analysis, compatible with incomplete data.

SemanticModels.jl60A julia package for representing and manipulating model semantics

BayesianOptimization.jl59Bayesian optimization for Julia

TensorNetworkAD.jl56Algorithms that combine tensor network methods with automatic differentiation

Miletus.jl54Writing financial contracts in Julia

IncrementalInference.jl50Incremental nonparametric (and parametric) solution to factor graphs
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