Dependency Packages
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Turing.jl2026Bayesian inference with probabilistic programming.
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NeuralNetDiffEq.jl966Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DSGE.jl864Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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DiffEqFlux.jl861Pre-built implicit layer architectures 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.jl713Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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SciMLSensitivity.jl329A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
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DiffEqSensitivity.jl329A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
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TuringModels.jl163Implementations of the models from the Statistical Rethinking book with Turing.jl
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DiffEqBayes.jl121Extension 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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StateSpaceRoutines.jl86Package implementing common state-space routines.
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OrbitalTrajectories.jl83OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.
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EasyModelAnalysis.jl79High level functions for analyzing the output of simulations
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AdvancedVI.jl78Implementation of variational Bayes inference algorithms
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ReactionMechanismSimulator.jl72The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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HighDimPDE.jl71A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality
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TuringGLM.jl71Bayesian Generalized Linear models using `@formula` syntax.
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ODINN.jl68Global glacier model using Universal Differential Equations for climate-glacier interactions
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Turkie.jl68Turing + Makie = Turkie
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AtomicGraphNets.jl62Atomic graph models for molecules and crystals in Julia
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FMIFlux.jl55FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.
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MCMCBenchmarks.jl37Comparing performance and results of mcmc options using Julia
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CRRao.jl34-
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Plasma.jl34An interface for accelerated simulation of high-dimensional collisionless and electrostatic plasmas.
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SliceMap.jl31Same-same but different
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ContinuousNormalizingFlows.jl22Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia
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HierarchicalGaussianFiltering.jl21The Julia implementation of the generalised hierarchical Gaussian filter
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RelativisticDynamics.jl19General Relativistic Orbital Dynamics in Julia
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MOSLab.jl18From Semiconductor to TransistorLevel Modeling in Julia
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MeshGraphNets.jl18MeshGraphNets.jl is a software package for the Julia programming language that provides an implementation of the MeshGraphNets framework by Google DeepMind for simulating mesh-based physical systems via graph neural networks.
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Sisyphus.jl11A high-performance library for gradient based quantum optimal control
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ActionModels.jl11A Julia package for behavioural modeling
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DynamicOED.jl10Optimal experimental design of ODE and DAE systems in julia
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ShipMMG.jl8Ship maneuvering simulation tool with respect to ShipMMG model
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RNAForecaster.jl8-
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TrackedDistributions.jl7-
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DeepCompartmentModels.jl6Package for fitting models according to the deep compartment modeling framework for pharmacometric applications.
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GumbelSoftmax.jl6Julia implementation of the Gumbel-Softmax reparametrization trick compatible with Zygote and ForwardDiff
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FMISensitivity.jl6Unfortunately, FMUs (fmi-standard.org) are not differentiable by design. To enable their full potential inside Julia, FMISensitivity.jl makes FMUs fully differentiable, regarding to: states and derivatives | inputs, outputs and other observable variables | parameters | event indicators | explicit time | state change sensitivity by event
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SafetySignalDetection.jl5Bayesian Safety Signal Detection in Julia
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AutomationLabs.jl5A powerful, no code solution for control and systems engineering
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