ML-From-Scratch README

The project's README from github.com/eriklindernoren/ML-From-Scratch. As one markdown file: README.md.

Machine Learning From Scratch

About

Python implementations of some of the fundamental Machine Learning models and algorithms from scratch.

The purpose of this project is not to produce as optimized and computationally efficient algorithms as possible but rather to present the inner workings of them in a transparent and accessible way.

Table of Contents

Installation

$ git clone https://github.com/eriklindernoren/ML-From-Scratch
$ cd ML-From-Scratch
$ python setup.py install

Examples

Polynomial Regression

$ python mlfromscratch/examples/polynomial_regression.py

Figure: Training progress of a regularized polynomial regression model fitting
temperature data measured in Linköping, Sweden 2016.

Classification With CNN

$ python mlfromscratch/examples/convolutional_neural_network.py

+---------+
| ConvNet |
+---------+
Input Shape: (1, 8, 8)
+----------------------+------------+--------------+
| Layer Type           | Parameters | Output Shape |
+----------------------+------------+--------------+
| Conv2D               | 160        | (16, 8, 8)   |
| Activation (ReLU)    | 0          | (16, 8, 8)   |
| Dropout              | 0          | (16, 8, 8)   |
| BatchNormalization   | 2048       | (16, 8, 8)   |
| Conv2D               | 4640       | (32, 8, 8)   |
| Activation (ReLU)    | 0          | (32, 8, 8)   |
| Dropout              | 0          | (32, 8, 8)   |
| BatchNormalization   | 4096       | (32, 8, 8)   |
| Flatten              | 0          | (2048,)      |
| Dense                | 524544     | (256,)       |
| Activation (ReLU)    | 0          | (256,)       |
| Dropout              | 0          | (256,)       |
| BatchNormalization   | 512        | (256,)       |
| Dense                | 2570       | (10,)        |
| Activation (Softmax) | 0          | (10,)        |
+----------------------+------------+--------------+
Total Parameters: 538570

Training: 100% [------------------------------------------------------------------------] Time: 0:01:55
Accuracy: 0.987465181058

Figure: Classification of the digit dataset using CNN.

Density-Based Clustering

$ python mlfromscratch/examples/dbscan.py

Figure: Clustering of the moons dataset using DBSCAN.

Generating Handwritten Digits

$ python mlfromscratch/unsupervised_learning/generative_adversarial_network.py

+-----------+
| Generator |
+-----------+
Input Shape: (100,)
+------------------------+------------+--------------+
| Layer Type             | Parameters | Output Shape |
+------------------------+------------+--------------+
| Dense                  | 25856      | (256,)       |
| Activation (LeakyReLU) | 0          | (256,)       |
| BatchNormalization     | 512        | (256,)       |
| Dense                  | 131584     | (512,)       |
| Activation (LeakyReLU) | 0          | (512,)       |
| BatchNormalization     | 1024       | (512,)       |
| Dense                  | 525312     | (1024,)      |
| Activation (LeakyReLU) | 0          | (1024,)      |
| BatchNormalization     | 2048       | (1024,)      |
| Dense                  | 803600     | (784,)       |
| Activation (TanH)      | 0          | (784,)       |
+------------------------+------------+--------------+
Total Parameters: 1489936

+---------------+
| Discriminator |
+---------------+
Input Shape: (784,)
+------------------------+------------+--------------+
| Layer Type             | Parameters | Output Shape |
+------------------------+------------+--------------+
| Dense                  | 401920     | (512,)       |
| Activation (LeakyReLU) | 0          | (512,)       |
| Dropout                | 0          | (512,)       |
| Dense                  | 131328     | (256,)       |
| Activation (LeakyReLU) | 0          | (256,)       |
| Dropout                | 0          | (256,)       |
| Dense                  | 514        | (2,)         |
| Activation (Softmax)   | 0          | (2,)         |
+------------------------+------------+--------------+
Total Parameters: 533762

Figure: Training progress of a Generative Adversarial Network generating
handwritten digits.

Deep Reinforcement Learning

$ python mlfromscratch/examples/deep_q_network.py

+----------------+
| Deep Q-Network |
+----------------+
Input Shape: (4,)
+-------------------+------------+--------------+
| Layer Type        | Parameters | Output Shape |
+-------------------+------------+--------------+
| Dense             | 320        | (64,)        |
| Activation (ReLU) | 0          | (64,)        |
| Dense             | 130        | (2,)         |
+-------------------+------------+--------------+
Total Parameters: 450

Figure: Deep Q-Network solution to the CartPole-v1 environment in OpenAI gym.

Image Reconstruction With RBM

$ python mlfromscratch/examples/restricted_boltzmann_machine.py

Figure: Shows how the network gets better during training at reconstructing
the digit 2 in the MNIST dataset.

Evolutionary Evolved Neural Network

$ python mlfromscratch/examples/neuroevolution.py

+---------------+
| Model Summary |
+---------------+
Input Shape: (64,)
+----------------------+------------+--------------+
| Layer Type           | Parameters | Output Shape |
+----------------------+------------+--------------+
| Dense                | 1040       | (16,)        |
| Activation (ReLU)    | 0          | (16,)        |
| Dense                | 170        | (10,)        |
| Activation (Softmax) | 0          | (10,)        |
+----------------------+------------+--------------+
Total Parameters: 1210

Population Size: 100
Generations: 3000
Mutation Rate: 0.01

[0 Best Individual - Fitness: 3.08301, Accuracy: 10.5%]
[1 Best Individual - Fitness: 3.08746, Accuracy: 12.0%]
...
[2999 Best Individual - Fitness: 94.08513, Accuracy: 98.5%]
Test set accuracy: 96.7%

Figure: Classification of the digit dataset by a neural network which has
been evolutionary evolved.

Genetic Algorithm

$ python mlfromscratch/examples/genetic_algorithm.py

+--------+
|   GA   |
+--------+
Description: Implementation of a Genetic Algorithm which aims to produce
the user specified target string. This implementation calculates each
candidate's fitness based on the alphabetical distance between the candidate
and the target. A candidate is selected as a parent with probabilities proportional
to the candidate's fitness. Reproduction is implemented as a single-point
crossover between pairs of parents. Mutation is done by randomly assigning
new characters with uniform probability.

Parameters
----------
Target String: 'Genetic Algorithm'
Population Size: 100
Mutation Rate: 0.05

[0 Closest Candidate: 'CJqlJguPlqzvpoJmb', Fitness: 0.00]
[1 Closest Candidate: 'MCxZxdr nlfiwwGEk', Fitness: 0.01]
[2 Closest Candidate: 'MCxZxdm nlfiwwGcx', Fitness: 0.01]
[3 Closest Candidate: 'SmdsAklMHn kBIwKn', Fitness: 0.01]
[4 Closest Candidate: '  lotneaJOasWfu Z', Fitness: 0.01]
...
[292 Closest Candidate: 'GeneticaAlgorithm', Fitness: 1.00]
[293 Closest Candidate: 'GeneticaAlgorithm', Fitness: 1.00]
[294 Answer: 'Genetic Algorithm']

Association Analysis

$ python mlfromscratch/examples/apriori.py
+-------------+
|   Apriori   |
+-------------+
Minimum Support: 0.25
Minimum Confidence: 0.8
Transactions:
    [1, 2, 3, 4]
    [1, 2, 4]
    [1, 2]
    [2, 3, 4]
    [2, 3]
    [3, 4]
    [2, 4]
Frequent Itemsets:
    [1, 2, 3, 4, [1, 2], [1, 4], [2, 3], [2, 4], [3, 4], [1, 2, 4], [2, 3, 4]]
Rules:
    1 -> 2 (support: 0.43, confidence: 1.0)
    4 -> 2 (support: 0.57, confidence: 0.8)
    [1, 4] -> 2 (support: 0.29, confidence: 1.0)

Implementations

Supervised Learning

Unsupervised Learning

Reinforcement Learning

Deep Learning

Contact

If there's some implementation you would like to see here or if you're just feeling social, feel free to email me or connect with me on LinkedIn.

ML-From-Scratch (eriklindernoren/ML-From-Scratch)

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What is this?A Python library of fundamental machine learning models and algorithms implemented from scratch in NumPy, aiming to cover everything from linear regression to deep learning.
Is this a library I can use in real projects, or a resource for learning how the algorithms work?It installs like a Python package with runnable example scripts, but the point is education: every model is written from the ground up so you can read exactly how it works inside.
How do I install and run it?Clone the repo, cd into it and run python setup.py install. After that, examples run as plain scripts, e.g. python mlfromscratch/examples/dbscan.py for density-based clustering.
Do I need TensorFlow or PyTorch to run this?No — everything is built on bare NumPy with no deep learning framework behind it. The only extra is OpenAI Gym, used by the Deep Q-Network example for its CartPole-v1 environment.
Is the code optimized enough for production use?Not the goal: the README states upfront that the aim is not optimized, computationally efficient algorithms but a transparent, accessible view of their inner workings. Treat it as a study companion, not an inference engine.
Does it include real deep learning, or just classic models?Yes — a small neural network library with Conv2D, pooling, dropout and batch normalization layers, plus CNN, multilayer perceptron and RNN model types. The demo CNN reaches about 98.7% accuracy on the digit dataset with roughly 538k parameters.
Can I watch the algorithms actually run?Yes — every example is a single script: convolutionalneuralnetwork.py trains a CNN on digits, dbscan.py clusters the moons dataset, and other scripts run deep Q-learning on CartPole, a genetic algorithm, and Apriori association analysis.
Anything fancier than classifiers and clusters?Yes — on the generative and evolutionary side there is a GAN that synthesizes handwritten digits, an autoencoder, a Restricted Boltzmann Machine that reconstructs MNIST images, and neuroevolution, where a network is evolved rather than gradient-trained.
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