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https://github.com/mossr/BeautifulAlgorithms.jl

Concise and beautiful algorithms written in Julia
https://github.com/mossr/BeautifulAlgorithms.jl

algorithms decision-making-under-uncertainty julia machine-learning neural-network optimization quine regression reinforcement-learning sorting

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Concise and beautiful algorithms written in Julia

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# BeautifulAlgorithms.jl
[![Build Status](https://github.com/mossr/BeautifulAlgorithms.jl/workflows/CI/badge.svg)](https://github.com/mossr/BeautifulAlgorithms.jl/actions)
[![codecov](https://codecov.io/github/mossr/BeautifulAlgorithms.jl/coverage.svg?branch=master)](https://codecov.io/gh/mossr/BeautifulAlgorithms.jl)

Concise algorithms written in Julia and formatted with [Carbon](https://carbon.now.sh/).

Algorithms for machine learning, optimization, reinforcement learning, online planning, decision making under uncertainty, and sorting. All implementations are working and self-contained; refer to the [test cases](./test/).

> _Note, these are primarily for academic purposes and are not designed for real-world usage. There are many other Julia packages that implement more sound versions of these algorithms._

```julia
] add http://github.com/mossr/BeautifulAlgorithms.jl
```

- [Gradient descent](#gradient-descent)
- [Stochastic gradient descent](#stochastic-gradient-descent)
- [Two-layer neural network](#two-layer-neural-network)
- [Two-layer neural network (one-liner)](#two-layer-neural-network-one-liner)
- [Multi-layer neural network](#multi-layer-neural-network)
- [Loss functions](#loss-functions)
- [Distance functions](#distance-functions)
- [Nearest neighbor](#nearest-neighbor)
- [K-nearest neighbors](#k-nearest-neighbors)
- [K-means clustering](#k-means-clustering)
- [The EM algorithm](#the-em-algorithm)
- [Linear regression](#linear-regression)
- [Linear regression (one-liner)](#linear-regression-one-liner)
- [Ridge regression](#ridge-regression)
- [Basis regression](#basis-regression)
- [Radial basis regression](#radial-basis-regression)
- [Logistic regression](#logistic-regression)
- [Cross-entropy method](#cross-entropy-method)
- [Finite difference methods](#finite-difference-methods)
- [Simulated annealing](#simulated-annealing)
- [Twiddle](#twiddle)
- [Newton's method](#newtons-method)
- [Gaussian process](#gaussian-process)
- [Gaussian process kernels](#gaussian-process-kernels)
- [Thompson sampling](#thompson-sampling)
- [Particle filter](#particle-filter)
- [Value iteration](#value-iteration)
- [Branch and bound](#branch-and-bound)
- [Monte Carlo tree search](#monte-carlo-tree-search)
- [Huffman coding](#huffman-coding)
- [Hailstone sequence (Collatz conjecture)](#hailstone-sequence-collatz-conjecture)
- [Bubble sort](#bubble-sort)
- [Merge sort](#merge-sort)
- [Insertion sort](#insertion-sort)
- [Bogo sort](#bogo-sort)
- [Bogo sort (one-liner)](#bogo-sort-one-liner)
- [Quine](#quine)

*Note: Algorithms are modified from their original sources.*

## Gradient descent
Percy Liang and Dorsa Sadigh, *Artificial Intelligence: Principles and Techniques*, Stanford University, 2019.

## Stochastic gradient descent
Percy Liang and Dorsa Sadigh, *Artificial Intelligence: Principles and Techniques*, Stanford University, 2019.

## Two-layer neural network

##### Two-layer neural network (one-liner)

## Multi-layer neural network

## Loss functions

## Distance functions

## Nearest neighbor

## K-nearest neighbors

## K-means clustering
Percy Liang and Dorsa Sadigh, *Artificial Intelligence: Principles and Techniques*, Stanford University, 2019.

## The EM algorithm
Andrew Ng, *Mixtures of Gaussians and the EM algorithm*, Stanford University, 2020.1

## Linear regression
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019. (Credit [@HenriDeh](https://github.com/HenriDeh) for use of `ones`)

##### Linear regression (one-liner)

## Ridge regression

## Basis regression
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019.

## Radial basis regression
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019.

## Logistic regression

## Cross-entropy method
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019.

## Finite difference methods
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019.

## Simulated annealing
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019.

## Twiddle
Sebatian Thrun, *Artificial Intelligence for Robotics*, Udacity, 2012.

## Newton's method
John Wallis, *A Treatise of Algebra both Historical and Practical*, 1685.

## Gaussian process
Mykel J. Kochenderfer and Tim A. Wheeler, *Algorithms for Optimization*, MIT Press, 2019.

## Gaussian process kernels

## Thompson sampling
Daniel J. Russo, Benjamin Van Roy, Abbas Kazerouni, Ian Osband, and Zheng Wen, *A Tutorial on Thompson Sampling*, arXiv:1707.02038, 2020.

## Particle filter
Mykel J. Kochenderfer, Tim A. Wheeler, and Kyle H. Wray, *Algorithms for Decision Making*, Preprint.

## Value iteration
Mykel J. Kochenderfer, Tim A. Wheeler, and Kyle H. Wray, *Algorithms for Decision Making*, Preprint.

## Branch and bound
Mykel J. Kochenderfer, Tim A. Wheeler, and Kyle H. Wray, *Algorithms for Decision Making*, Preprint.

## Monte Carlo tree search
Mykel J. Kochenderfer, Tim A. Wheeler, and Kyle H. Wray, *Algorithms for Decision Making*, Preprint.

## Huffman coding
David A. Huffman, *A Method for the Construction of Minimum-Redundancy Codes*, IEEE, 1952.

## Hailstone sequence (Collatz conjecture)

## Bubble sort
Karey Shi, *Design and Analysis of Algorithms*, Stanford University, 2020.

## Merge sort
Karey Shi, *Design and Analysis of Algorithms*, Stanford University, 2020.

## Insertion sort
Karey Shi, *Design and Analysis of Algorithms*, Stanford University, 2020.

## Bogo sort

##### Bogo sort (one-liner)

## Quine
Nathan Daly, *Julia Discord*, 2019.2

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Written by [Robert Moss](https://github.com/mossr).