A Julia package for probability distributions and associated functions.

An optimized graphs package for the Julia programming language

Forward Mode Automatic Differentiation for Julia

Julia implementation of Data structures

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

Basic statistics for Julia

Types with default field values, keyword constructors and (un-)pack macros

A Julia package for evaluating distances (metrics) between vectors.

Iterative algorithms for solving linear systems, eigensystems, and singular value problems

A man has written a package. A package has no name.

High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Julia solvers for systems of nonlinear equations and mixed complementarity problems

An interface for tables in Julia

Special mathematical functions in Julia

Lazy code loading for Julia

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

Adaptive 1d numerical Gauss–Kronrod integration in Julia

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

Mathematical functions related to statistics.

Fortran-like arrays with arbitrary, zero or negative starting indices.

Update deeply nested immutable structs.

Compatibility across Julia versions

Fast jacobian computation through sparsity exploitation and matrix coloring

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

It is like recipes but for AD! (Full functionality is in ChainRules.jl but this a light weight dependency just to define sensitivities for your functions in your packages)

Simple Traits for Julia

Base package for defining transformation recipes on user types for Plots.jl

Julia package for lazily representing matrices filled with a single entry

Julia macro for re-exporting one module from another

Arrays which also have a label for each element for easy scientific machine learning (SciML)

Uniform Interface for positive definite matrices of various structures

Line search methods for optimization and root-finding

Extensions for Julia's docsystem.

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Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

Implicitly Restarted Arnoldi Method, natively in Julia

Missing value support for Julia

A Julia API for hwloc

`@pack` and `@unpack` macros