{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": "Iris Datensatz laden und plotten in 2D und 3D", "id": "9d2588e513c38b68" }, { "cell_type": "code", "id": "84848c0f-26aa-404e-93e3-6a0eb8cab24e", "metadata": { "ExecuteTime": { "end_time": "2026-09-28T15:43:27.024393100Z", "start_time": "2026-09-28T15:43:26.752951400Z" } }, "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import plotly.express as px\n" ], "outputs": [], "execution_count": 26 }, { "cell_type": "code", "id": "11291451-20d1-44ff-9c8a-b4785fbb2f7d", "metadata": { "ExecuteTime": { "end_time": "2026-09-28T15:43:27.046395Z", "start_time": "2026-09-28T15:43:27.026390700Z" } }, "source": [ "array = np.loadtxt(\"./data/iris.csv\", delimiter=\",\")\n", "inverse = array.T" ], "outputs": [], "execution_count": 27 }, { "cell_type": "code", "id": "2b19f02f-fcc5-43cf-baa7-7ae6ca5dcce5", "metadata": { "ExecuteTime": { "end_time": "2026-09-28T15:43:27.061031300Z", "start_time": "2026-09-28T15:43:27.049395400Z" } }, "source": [ "X = inverse[:4]\n", "T = inverse[-1]" ], "outputs": [], "execution_count": 28 }, { "metadata": { "ExecuteTime": { "end_time": "2026-09-29T08:30:04.092105200Z", "start_time": "2026-09-29T08:30:03.950994100Z" } }, "cell_type": "code", "source": [ "print(X.shape)\n", "print(T.shape)\n", "print(np.unique(T, return_counts=True))" ], "id": "62b3ca17da9ee8b", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(4, 150)\n", "(150,)\n", "(array([0., 1., 2.]), array([50, 50, 50]))\n" ] } ], "execution_count": 39 }, { "cell_type": "code", "id": "320b8036-2d56-4823-bfd9-01ac723d3fae", "metadata": { "ExecuteTime": { "end_time": "2026-09-28T15:43:27.298802100Z", "start_time": "2026-09-28T15:43:27.174096800Z" } }, "source": [ "plt.scatter(x=X[0], y=X[1], c=T, cmap=plt.cm.prism)\n", "plt.show()" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 30 }, { "cell_type": "code", "id": "6524d816-4adc-4e4f-90d0-3f3f3467e7aa", "metadata": { "ExecuteTime": { "end_time": "2026-09-28T15:44:51.729962400Z", "start_time": "2026-09-28T15:44:51.435969800Z" } }, "source": "px.scatter_3d(x=X[0], y=X[1], z=X[2], color=T)", "outputs": [], "execution_count": 35 }, { "metadata": {}, "cell_type": "code", "source": "", "id": "f65868b6b8ee73f0", "outputs": [], "execution_count": null } ], "metadata": { "kernelspec": { "display_name": "project", "language": "python", "name": "project" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }