Dependency Packages
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Plots.jl1825Powerful convenience for Julia visualizations and data analysis
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ModelingToolkit.jl1410An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
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Symbolics.jl1353Symbolic programming for the next generation of numerical software
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Optim.jl1116Optimization functions for Julia
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Distributions.jl1102A Julia package for probability distributions and associated functions.
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ForwardDiff.jl888Forward Mode Automatic Differentiation for Julia
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StaticArrays.jl761Statically sized arrays for Julia
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LoopVectorization.jl742Macro(s) for vectorizing loops.
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DataStructures.jl690Julia implementation of Data structures
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TimerOutputs.jl651Formatted output of timed sections in Julia
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HTTP.jl632HTTP for Julia
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BenchmarkTools.jl607A benchmarking framework for the Julia language
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Unitful.jl603Physical quantities with arbitrary units
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StatsBase.jl584Basic statistics for Julia
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JuliaFormatter.jl569An opinionated code formatter for Julia. Plot twist - the opinion is your own.
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Latexify.jl558Convert julia objects to LaTeX equations, arrays or other environments.
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SymbolicUtils.jl537Symbolic expressions, rewriting and simplification
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OrdinaryDiffEq.jl533High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
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Graphs.jl457An optimized graphs package for the Julia programming language
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Enzyme.jl438Julia bindings for the Enzyme automatic differentiator
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Parameters.jl419Types with default field values, keyword constructors and (un-)pack macros
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MLStyle.jl402Julia functional programming infrastructures and metaprogramming facilities
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MathOptInterface.jl388A data structure for mathematical optimization problems
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GR.jl354Plotting for Julia based on GR, a framework for visualisation applications
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SpecialFunctions.jl350Special mathematical functions in Julia
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Roots.jl342Root finding functions for Julia
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Krylov.jl338A Julia Basket of Hand-Picked Krylov Methods
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GPUArrays.jl317Reusable array functionality for Julia's various GPU backends.
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JSON.jl311JSON parsing and printing
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MacroTools.jl310MacroTools provides a library of tools for working with Julia code and expressions.
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DiffEqBase.jl309The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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LazyArrays.jl303Lazy arrays and linear algebra in Julia
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Tables.jl299An interface for tables in Julia
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QuadGK.jl268Adaptive 1d numerical Gauss–Kronrod integration in Julia
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ChainRulesCore.jl253AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.
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FiniteDiff.jl247Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support
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LinearSolve.jl244LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.
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Polyester.jl241The cheapest threads you can find!
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SparseDiffTools.jl238Fast jacobian computation through sparsity exploitation and matrix coloring
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StatsFuns.jl232Mathematical functions related to statistics.
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