{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# UMAP & MNIST\n", "\n", "This notebook walks you through the use of a really amazing TSNE-like dimensionality reduction technique called [UMAP](https://github.com/lmcinnes/umap) on the MNIST dataset to terraform a Planetoid. Follow the link to learn more about it and get it installed." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import planetoids as pt\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Technically, you can use any labelled data in two dimensions to generate a new planetoid. However, this package was specifically designed with algorithms like UMAP in mind for dealing with larger datasets.\n", "\n", "You will have to play around a bit with the hyperparameters of your chosen algorithm to produce some nice separated clusters.\n", "\n", "I like the pairing of UMAP & Planetoids as it produces globular clusters with a convenient API to control the density of the produced clusters." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\umap\\spectral.py:229: UserWarning:\n", "\n", "Embedding a total of 4 separate connected components using meta-embedding (experimental)\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_digits\n", "from umap import UMAP\n", "import matplotlib.pyplot as plt\n", "\n", "#load the mnist dataset\n", "data = load_digits()\n", "\n", "#reduce the data down to two dimensions using \n", "#here we are specifically using UMAP in a supervised\n", "#manner leveraging the target labels\n", "reducer = UMAP(n_components=2,\n", " min_dist=1.7,\n", " spread=2,\n", " target_weight=0.5,\n", " random_state=42,\n", " n_epochs=50\n", " )\n", "\n", "embedding = reducer.fit_transform(data.data, y=data.target)\n", "\n", "reduced = pd.DataFrame(embedding, columns=['Component1', 'Component2'])\n", "reduced['Cluster'] = data.target\n", "\n", "reduced.plot(kind='scatter', x='Component2', y='Component1', c='Cluster', cmap='tab10', s=3, alpha=0.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see in the scatter plot above, the labelled handwritten digits have been grouped into their respective clusters ready to seed the creation of a Planetoid!" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "mnist = pt.Planetoid(reduced,\n", " 'Component1',\n", " 'Component2',\n", " 'Cluster')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0efa026d2e074d3891b779db1e12165d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, description='Generating data', max=10, style=ProgressStyle(description_wid…" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "47ada02c93ba4fb39030f4c8404eeff5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, 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