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.

Optim.jl960Optimization functions for Julia

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

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

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

NeuralNetDiffEq.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.

QuantEcon.jl465Julia implementation of QuantEcon routines

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

GeoStats.jl414An extensible framework for highperformance geostatistics in Julia

Soss.jl401Probabilistic programming via source rewriting

SymbolicRegression.jl377Distributed HighPerformance symbolic regression in Julia

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.

DiffEqBiological.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

Modia.jl298Modeling and simulation of multidomain engineering systems

GaussianProcesses.jl298A Julia package for Gaussian Processes

DiffEqSensitivity.jl248A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimizethendiscretize, discretizethenoptimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

SciMLSensitivity.jl248A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimizethendiscretize, discretizethenoptimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

StateSpaceModels.jl235StateSpaceModels.jl is a Julia package for timeseries analysis using statespace models.

StochasticDiffEq.jl200Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

LowRankModels.jl185LowRankModels.jl is a julia package for modeling and fitting generalized low rank models.

ChaosTools.jl183Tools for the exploration of chaos and nonlinear dynamics

Caesar.jl173Robust robotic localization and mapping, together with www.NavAbility.io. Reach out to info@navability.io for help.

ReservoirComputing.jl172Reservoir computing utilities for scientific machine learning (SciML)

BAT.jl164A Bayesian Analysis Toolkit in Julia

HomotopyContinuation.jl159A Julia package for solving systems of polynomials via homotopy continuation.

TuringModels.jl153Implementations of the models from the Statistical Rethinking book with Turing.jl

TopOpt.jl141A beautifully Julian topology optimization package.

ForneyLab.jl135Julia package for automatically generating Bayesian inference algorithms through message passing on Forneystyle factor graphs.

Clapeyron.jl129Clapeyron provides a framework for the development and use of fluidthermodynamic models, including SAFT, cubic, activity, multiparameter, and COSMOSAC.

DiffEqBayes.jl117Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

TSAnalysis.jl113A Julia implementation of basic tools for time series analysis compatible with incomplete data.

GameTheory.jl111Algorithms and data structures for game theory in Julia

ClimateTools.jl108Climate science package for Julia

ControlSystemIdentification.jl108System Identification toolbox for LTI systems, compatible with ControlSystems.jl

Causal.jl102Causal.jl  A modeling and simulation framework adopting causal modeling approach.

ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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