A Julia package for probability distributions and associated functions.

Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Julia implementation of Data structures

Basic statistics for Julia

Heterogeneous programming in Julia

Special mathematical functions in Julia

Root finding functions for Julia

Reusable array functionality for Julia's various GPU backends.

MacroTools provides a library of tools for working with Julia code and expressions.

Adaptive 1d numerical Gauss–Kronrod integration in Julia

AD-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.

Mathematical functions related to statistics.

Reduce time-to-first-execution of Julia code

Neural Network primitives with multiple backends

Distributed Arrays in Julia

Lazy code loading for Julia

Julia package for lazily representing matrices filled with a single entry

Update immutable data

Julia macro for re-exporting one module from another

Compatibility across Julia versions

Julia wrapper for the LLVM C API

Project Preferences Package

Parameterise all the things

Extensions for Julia's docsystem.

Uniform Interface for positive definite matrices of various structures

Prime numbers in Julia

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

A simple shared suite of common derivative definitions

Julia package for various special functions based on `log` and `exp`.

Optimisers.jl defines many standard optimisers and utilities for learning loops.

Missing value support for Julia

A Julia package for calculating hypergeometric functions

Extra sorting algorithms extending Julia's sorting API

Julia math built-ins which return NaN and accumulator functions which ignore NaN

Flux's ex AD

Naïve combined subexpression elimination in Julia

A package which provides an API for querying differentiation results at multiple orders simultaneously