Dependency Packages
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DifferentialEquations.jl1769Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components
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Optim.jl703Optimization functions for Julia
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DSGE.jl643Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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DiffEqFlux.jl510Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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DiffEqTutorials.jl452Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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QuantEcon.jl375Julia implementation of QuantEcon routines
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NeuralNetDiffEq.jl327Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralPDE.jl327Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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QuantumOptics.jl324Library for the numerical simulation of closed as well as open quantum systems.
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OpticSim.jl290Optical Simulation software
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Soss.jl268Probabilistic programming via source rewriting
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GeoStats.jl243An extensible framework for high-performance geostatistics in Julia
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StatisticalRethinking.jl233Julia version of selected functions in the R package `rethinking`. Used in the StatisticalRethinkingStan and StatisticalRethinkingTuring projects.
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GaussianProcesses.jl221A Julia package for Gaussian Processes
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Modia.jl207Modeling and simulation of multidomain engineering systems
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GalacticOptim.jl178Local, global, and beyond optimization for scientific machine learning (SciML)
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DataDrivenDiffEq.jl170Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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DFTK.jl164Density-functional toolkit
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LowRankModels.jl163LowRankModels.jl is a julia package for modeling and fitting generalized low rank models.
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StochasticDiffEq.jl137Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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StateSpaceModels.jl127StateSpaceModels.jl is a Julia package for time-series analysis using state-space models.
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Caesar.jl109Robot toolkit: Towards non-parametric and parametric navigation solutions
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SymbolicRegression.jl102Distributed High-Performance symbolic regression in Julia
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TuringModels.jl101Turing version of StatisticalRethinking models.
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BAT.jl98A Bayesian Analysis Toolkit in Julia
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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
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DiffEqSensitivity.jl90A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, and more for ODEs, SDEs, DDEs, DAEs, etc.
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Hyperopt.jl88Hyperparameter optimization in Julia.
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Jusdl.jl76Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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Causal.jl76Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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Mads.jl75MADS: Model Analysis & Decision Support
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ClimateTools.jl70Climate science package for Julia
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ReservoirComputing.jl66Reservoir computing utilities for scientific machine learning (SciML)
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ControlSystemIdentification.jl65System Identification toolbox for LTI systems, compatible with ControlSystems.jl
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TSAnalysis.jl64This package includes basic tools for time series analysis, compatible with incomplete data.
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SemanticModels.jl60A julia package for representing and manipulating model semantics
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BayesianOptimization.jl59Bayesian optimization for Julia
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TensorNetworkAD.jl56Algorithms that combine tensor network methods with automatic differentiation
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Miletus.jl54Writing financial contracts in Julia
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IncrementalInference.jl50Incremental non-parametric (and parametric) solution to factor graphs
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