{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "code", "execution_count": 84, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 447 }, "id": "rkGR6erve9ek", "outputId": "2ef9036f-0ac9-4d03-d811-4db2724692d5" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(-1.0, 11.0)" ] }, "metadata": {}, "execution_count": 84 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "x = np.array([\n", " [1.5, 3.2],\n", " [4.7, 2.1],\n", " [8.0, 9.5],\n", " [2.3, 7.8],\n", " [6.1, 0.5],\n", " [9.0, 4.3],\n", " [3.7, 6.9],\n", " [7.4, 1.2],\n", " [0.8, 5.6],\n", " [5.2, 8.1],\n", " [1.0, 2.7],\n", " [3.4, 4.8],\n", " [7.3, 7.0],\n", " [5.5, 0.2],\n", " [9.8, 3.9],\n", " [4.0, 4.1],\n", " [8.9, 8.7],\n", " [2.6, 9.2],\n", " [6.4, 5.0],\n", " [0.5, 1.8],\n", " [4.2, 6.3],\n", " [1.9, 0.7],\n", " [8.3, 2.6],\n", " [3.0, 8.4],\n", " [7.6, 9.7],\n", " [0.3, 7.1],\n", " [5.7, 1.4],\n", " [2.9, 3.5],\n", " [6.8, 5.9],\n", " [1.1, 8.2],\n", " [9.2, 6.6],\n", " [3.9, 0.9],\n", " [7.1, 4.5],\n", " [0.6, 6.2],\n", " [4.3, 1.3],\n", " [9.6, 7.5],\n", " [5.0, 2.4],\n", " [8.5, 4.6],\n", " [2.0, 0.4],\n", " [6.7, 8.0]\n", "])\n", "d = np.array([1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1])\n", "w = np.random.random(3)\n", "mi = 0.1\n", "for j in range(1000):\n", " for i in range(len(x)):\n", " xx = x[i]\n", " dd = d[i]\n", " s = xx[0]*w[1]+xx[1]*w[2]+w[0]*(-1)\n", " if s >= 0:\n", " y = 1\n", " else:\n", " y = 0\n", " #print(\"x1:\",xx[0], \"x2:\",xx[1], \"d:\",dd, \"y:\",y)\n", "\n", " w[0] = w[0] + mi*(dd-y)*(-1)\n", " w[1] = w[1] + mi*(dd-y)*(xx[0])\n", " w[2] = w[2] + mi*(dd-y)*(xx[1])\n", "\n", "xx = np.arange(-1,15)\n", "yy = -(w[1]/w[2]) * xx + (w[0]/w[2])\n", "ax=plt.plot(xx, yy, 'r-')\n", "\n", "for i in range(len(x)):\n", " if d[i] == 0:\n", " plt.plot(x[i,0], x[i,1], 'ko')\n", " else:\n", " plt.plot(x[i,0], x[i,1], 'm*')\n", "plt.xlim(-1, 11)\n", "plt.ylim(-1, 11)" ] }, { "cell_type": "code", "source": [], "metadata": { "id": "OY9R-VJdvvwj" }, "execution_count": 56, "outputs": [] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Wprowadzone punkty ręcznie\n", "selected_points = np.array([\n", " [1.5, 3.2],\n", " [4.7, 2.1],\n", " [8.0, 9.5],\n", " [2.3, 7.8],\n", " [6.1, 0.5],\n", " [9.0, 4.3],\n", " [3.7, 6.9],\n", " [7.4, 1.2],\n", " [0.8, 5.6],\n", " [5.2, 8.1],\n", " [1.0, 2.7],\n", " [3.4, 4.8],\n", " [7.3, 7.0],\n", " [5.5, 0.2],\n", " [9.8, 3.9],\n", " [4.0, 4.1],\n", " [8.9, 8.7],\n", " [2.6, 9.2],\n", " [6.4, 5.0],\n", " [0.5, 1.8],\n", " [4.2, 6.3],\n", " [1.9, 0.7],\n", " [8.3, 2.6],\n", " [3.0, 8.4],\n", " [7.6, 9.7],\n", " [0.3, 7.1],\n", " [5.7, 1.4],\n", " [2.9, 3.5],\n", " [6.8, 5.9],\n", " [1.1, 8.2],\n", " [9.2, 6.6],\n", " [3.9, 0.9],\n", " [7.1, 4.5],\n", " [0.6, 6.2],\n", " [4.3, 1.3],\n", " [9.6, 7.5],\n", " [5.0, 2.4],\n", " [8.5, 4.6],\n", " [2.0, 0.4],\n", " [6.7, 8.0]\n", "])\n", "\n", "# Utwórz równanie linii, przesuwając linię niżej\n", "slope = 0.7\n", "intercept = 0.5 # Przesunięcie lini w dół\n", "line_x = np.linspace(0, 10, 100)\n", "line_y = slope * line_x + intercept\n", "\n", "# Przygotuj punkty na lewo i prawo od linii\n", "left_of_line_x = selected_points[:, 0][selected_points[:, 1] < (slope * selected_points[:, 0] + intercept)]\n", "left_of_line_y = selected_points[:, 1][selected_points[:, 1] < (slope * selected_points[:, 0] + intercept)]\n", "right_of_line_x = selected_points[:, 0][selected_points[:, 1] >= (slope * selected_points[:, 0] + intercept)]\n", "right_of_line_y = selected_points[:, 1][selected_points[:, 1] >= (slope * selected_points[:, 0] + intercept)]\n", "\n", "# Narysuj punkty pod linią z etykietami\n", "for i in range(len(left_of_line_x)):\n", " x = left_of_line_x[i]\n", " y = left_of_line_y[i]\n", " label = f'({x:.1f}, {y:.1f})'\n", " plt.scatter(x, y, c='blue', marker='o')\n", " plt.annotate(label, (x, y), textcoords=\"offset points\", xytext=(0,10), ha='center')\n", "\n", "# Narysuj punkty nad linią z etykietami\n", "for i in range(len(right_of_line_x)):\n", " x = right_of_line_x[i]\n", " y = right_of_line_y[i]\n", " label = f'({x:.1f}, {y:.1f})'\n", " plt.scatter(x, y, c='red', marker='o')\n", " plt.annotate(label, (x, y), textcoords=\"offset points\", xytext=(0,10), ha='center')\n", "\n", "# Narysuj linię\n", "plt.plot(line_x, line_y, c='purple')\n", "\n", "# Dodaj etykiety osi\n", "plt.xlabel('Oś X')\n", "plt.ylabel('Oś Y')\n", "\n", "# Wyświetl wykres z etykietami punktów\n", "plt.show()\n", "\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 457 }, "id": "45ECzo3B3aOW", "outputId": "96338b44-056d-46d9-a936-5dbbba72b6c3" }, "execution_count": 74, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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