Dependency Packages
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      Turing.jl2026Bayesian inference with probabilistic programming.
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      NeuralPDE.jl966Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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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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      Optimization.jl712Mathematical 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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      ITensors.jl521A Julia library for efficient tensor computations and tensor network calculations
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      GeoStats.jl506An extensible framework for geospatial data science and geostatistical modeling fully written in Julia
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      AlgebraOfGraphics.jl421Combine ingredients for a plot
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      Soss.jl414Probabilistic programming via source rewriting
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      MixedModels.jl402A Julia package for fitting (statistical) mixed-effects models
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      RxInfer.jl260Julia package for automated Bayesian inference on a factor graph with reactive message passing
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      StochasticAD.jl199Research package for automatic differentiation of programs containing discrete randomness.
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      BAT.jl198A Bayesian Analysis Toolkit in Julia
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      TuringModels.jl163Implementations of the models from the Statistical Rethinking book with Turing.jl
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      TypedTables.jl146Simple, fast, column-based storage for data analysis in Julia
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      SplitApplyCombine.jl145Split-apply-combine strategies for Julia
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      PastaQ.jl142Package for Simulation, Tomography and Analysis of Quantum Computers
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      StatsKit.jl139Convenience meta-package to load essential packages for statistics
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      Kinetic.jl122Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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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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      ZigZagBoomerang.jl100Sleek implementations of the ZigZag, Boomerang and other assorted piecewise deterministic Markov processes for Markov Chain Monte Carlo including Sticky PDMPs for variable selection
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      EasyModelAnalysis.jl79High level functions for analyzing the output of simulations
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      SolidStateDetectors.jl77Solid state detector field and charge drift simulation in Julia
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      Pathfinder.jl75Preheat your MCMC
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      Tilde.jl75WIP successor to Soss.jl
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      TuringGLM.jl71Bayesian Generalized Linear models using `@formula` syntax.
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      Quantica.jl68Simulation of quantum systems on a lattice
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      Turkie.jl68Turing + Makie = Turkie
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      CalculusWithJulia.jl57Support package for doing Calculus with Julia
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      BioMakie.jl56Plotting and interface tools for biology.
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      ITensorNetworks.jl55A package with general tools for working with higher-dimensional tensor networks based on ITensor.
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      Sophon.jl54Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks
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      Survey.jl53Analysis of complex surveys
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      ITensorTDVP.jl52Time dependent variational principle (TDVP) of MPS based on ITensors.jl.
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      AcceleratedArrays.jl48Arrays with acceleration indices
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      Microbiome.jl47For analysis of microbiome and microbial community data
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      Unfold.jl46Neuroimaging (EEG, fMRI, pupil ...) regression analysis in Julia
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      AeroMDAO.jl43A toolbox meant for aircraft design analyses.
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      AeroFuse.jl43A toolbox meant for aircraft design analyses.
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      PerfChecker.jl41A small collection of semi-automatic performance checking tools
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      InformationGeometry.jl40Methods for computational information geometry
 
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