{ "cells": [ { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# Archetype Analysis" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "import archetypes as arch\n", "from sklearn.datasets import load_iris" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "wine = load_iris()\n", "\n", "X = wine.data\n", "target = wine.target" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/plain": "array([[4.9618196 , 2.19090202, 3.88180404, 1.26726283],\n [7.65958922, 3.36383863, 6.62786975, 2.26350244],\n [4.91092405, 3.53448202, 1.10256847, 0.16616813]])" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = arch.AA(n_archetypes=3, n_init=10, max_iter=10_000, tol=1e-16, random_state=0)\n", "model.fit(X)\n", "\n", "model.archetypes_" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/aleix11alcacer/Projects/archetypes/archetypes/visualization/simplex.py:75: RuntimeWarning: invalid value encountered in true_divide\n", " projections /= np.linalg.norm(projections, axis=1)[:, None]\n" ] }, { "data": { "text/plain": "
", "image/png": "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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10, 10))\n", "arch.simplex(model.alphas_, c=target, alpha=0.5, show_circle=False, show_direction=True)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 1 }