Dependency Packages
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Turing.jl1807Bayesian inference with probabilistic programming.
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DiffEqFlux.jl771Universal 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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NeuralPDE.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralNetDiffEq.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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GalacticOptim.jl512Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.
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Optimization.jl512Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.
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StatisticalRethinking.jl366Julia package with selected functions in the R package `rethinking`. Used in the SR2... projects.
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PowerSystems.jl240Data structures in Julia to enable power systems analysis. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.
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MCMCChains.jl236Types and utility functions for summarizing Markov chain Monte Carlo simulations
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PowerSimulations.jl216Julia for optimization simulation and modeling of PowerSystems. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.
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Stan.jl197Stan.jl illustrates the usage of the 'single method' packages, e.g. StanSample, StanOptimize, etc.
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AdvancedHMC.jl192Robust, modular and efficient implementation of advanced Hamiltonian Monte Carlo algorithms
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ReachabilityAnalysis.jl170Methods to compute sets of states reachable by dynamical systems
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BAT.jl164A Bayesian Analysis Toolkit in Julia
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TuringModels.jl153Implementations of the models from the Statistical Rethinking book with Turing.jl
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AugmentedGaussianProcesses.jl132Gaussian Process package based on data augmentation, sparsity and natural gradients
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PowerSimulationsDynamics.jl118Julia package to run Dynamic Power System simulations. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.
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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
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PkgBenchmark.jl116Easy benchmark tracking for packages
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DynamicPPL.jl116Implementation of domain-specific language (DSL) for dynamic probabilistic programming
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PlutoSliderServer.jl105Web server to run just the `@bind` parts of a Pluto.jl notebook
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ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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ViscousFlow.jl84A framework for simulating viscous incompressible flows about arbitrary body shapes.
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TaylorIntegration.jl84ODE integration using Taylor's method, and more, in Julia
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ValidatedNumerics.jl81Rigorous floating-point calculations with interval arithmetic in Julia
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Wflow.jl75Hydrological modeling
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EasyModelAnalysis.jl74High level functions for analyzing the output of simulations
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AbstractMCMC.jl69Abstract types and interfaces for Markov chain Monte Carlo methods
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AdvancedMH.jl67Robust implementation for random-walk Metropolis-Hastings algorithms
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Pathfinder.jl66Preheat your MCMC
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Turkie.jl65Turing + Makie = Turkie
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TuringGLM.jl58Bayesian Generalized Linear models using `@formula` syntax.
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TaylorModels.jl58Rigorous function approximation using Taylor models in Julia
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AdvancedPS.jl50Implementation of advanced Sequential Monte Carlo and particle MCMC algorithms
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CalibrateEmulateSample.jl50Stochastic Optimization, Learning, Uncertainty and Sampling
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BenchmarkCI.jl46-
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Dynare.jl44A Julia rewrite of Dynare: solving, simulating and estimating DSGE models.
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ClimaAtmos.jl43ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!
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