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Top Pkgs Packages

1

JuMP

Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)

2

Turing

Bayesian inference with probabilistic programming.

3

Zygote

Intimate Affection Auditor

4

Distributions

A Julia package for probability distributions and associated functions.

5

ModelingToolkit

A 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

6

ForwardDiff

Forward Mode Automatic Differentiation for Julia

7

CuArrays

A Curious Cumulation of CUDA Cuisine

8

IterativeSolvers

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

9

Mamba

Markov chain Monte Carlo (MCMC) for Bayesian analysis in julia

10

OrdinaryDiffEq

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

11

ReverseDiff

Reverse Mode Automatic Differentiation for Julia

12

MathOptInterface

An abstraction layer for mathematical optimization solvers.

13

Stan

Stan.jl illustrates the usage of the 'single method' packages, e.g. StanSample, StanOptimize, etc.

14

LazyArrays

Lazy arrays and linear algebra in Julia

15

AdvancedHMC

Robust, modular and efficient implementation of advanced Hamiltonian Monte Carlo algorithms

16

Bijectors

Implementation of normalising flows and constrained random variable transformations

17

DiffEqBayes

Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

18

DiffEqSensitivity

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, and more for ODEs, SDEs, DDEs, DAEs, etc.

19

AlgebraicMultigrid

Algebraic Multigrid in Julia

20

AMG

Algebraic Multigrid in Julia

21

PDMats

Uniform Interface for positive definite matrices of various structures

22

LineSearches

Line search methods for optimization and root-finding

23

CmdStan

CmdStan.jl v6 provides an alternative, older Julia wrapper to Stan's "cmdstan" executable.

24

Preconditioners

A few preconditioners for iterative solvers.

25

Blosc

Blosc compression for the Julia language

26

SolverTools

Tools for developing nonlinear optimization solvers.

27

DiffTests

A common suite of test functions for stressing the robustness of differentiation tools.

28

Libtask

C shim for task copying in Turing