diff --git a/Polynomial Regression.ipynb b/Polynomial Regression.ipynb index c335477..cb73bd2 100644 --- a/Polynomial Regression.ipynb +++ b/Polynomial Regression.ipynb @@ -17,19 +17,6 @@ "- Bregier Damian" ] }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import random\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "np.set_printoptions(suppress=True)" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -53,6 +40,20 @@ "Dokładne informacje na temat tego zbioru, jego zawartości i samych danych można znaleźć pod adresem: https://www.kaggle.com/mustafaali96/weight-height." ] }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import ipywidgets as widgets\n", + "np.set_printoptions(suppress=True)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -62,7 +63,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -74,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -106,7 +107,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -150,7 +151,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -161,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 24, "metadata": { "scrolled": true }, @@ -222,7 +223,25 @@ "\n", "# Stochastic gradient descent (SGD)\n", "def SGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, epochs=5):\n", - " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)\n" + " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)\n", + "\n", + "# Steepest descent\n", + "def steepest_descent(X, Y, theta, cost_function = mean_squared_error, single_step=0.01, epochs=30):\n", + " cost = cost_function(theta, X, Y)\n", + " logs = [[cost, theta]]\n", + " for i in range(epochs):\n", + " direction = gradient(theta, X, Y)\n", + " j = 0\n", + " while(True):\n", + " j+=1\n", + " next_theta = theta - single_step * direction\n", + " next_cost = cost_function(next_theta, X, Y)\n", + " if(next_cost >= cost or type(next_cost) != float):\n", + " break\n", + " cost = next_cost\n", + " theta = next_theta\n", + " logs.append([next_cost, theta])\n", + " return theta, logs" ] }, { @@ -234,7 +253,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -242,19 +261,23 @@ "output_type": "stream", "text": [ "BGD:\n", - "f(x) = -65.64506277392528x^0 + 68.77648241256031x^1 + 114.75349304333466x^2 + 102.20675310280708x^3 + 52.80014652046691^4\n", + "f(x) = -65.64506277392503x^0 + 68.77648241255996x^1 + 114.75349304333463x^2 + 102.20675310280693x^3 + 52.80014652046723^4\n", "82705 updates\n", "\n", "MBGD:\n", - "f(x) = -41.87728446390563x^0 + 46.386342187505655x^1 + 88.11833962940423x^2 + 98.52549425766668x^3 + 88.61917555232853^4\n", + "f(x) = -20.49538398624665x^0 + 43.83203531549893x^1 + 74.9580517022499x^2 + 83.08157339221718x^3 + 75.75845309811228^4\n", "37501 updates\n", "\n", "SGD:\n", - "f(x) = 17.68516933588153x^0 + 37.059293160781614x^1 + 49.84892452267522x^2 + 57.756973382905485x^3 + 62.07857245324558^4\n", + "f(x) = 38.980419583838696x^0 + 42.24440889357842x^1 + 43.5350614491982x^2 + 43.437875831269686x^3 + 42.39005292817251^4\n", "600001 updates\n", "\n", "momentum:\n", - "f(x) = 8.015549563834169x^0 + 38.129978604712115x^1 + 58.33870778356634x^2 + 71.22019895802788x^3 + 78.72511869002662^4\n", + "f(x) = 8.015549563834483x^0 + 38.129978604712036x^1 + 58.338707783566186x^2 + 71.220198958028x^3 + 78.7251186900262^4\n", + "61 updates\n", + "\n", + "steepest descent:\n", + "f(x) = 13.638648831593645x^0 + 39.092493619820296x^1 + 55.99541645170152x^2 + 66.58927282539155x^3 + 72.5680972400324^4\n", "61 updates\n", "\n" ] @@ -279,7 +302,12 @@ "final_theta_momentum, logs_4 = momentum(X, Y, initial_theta, epochs = 60)\n", "print(\"momentum:\")\n", "print_theta(final_theta_momentum)\n", - "print(f\"{len(logs_4)} updates\\n\")" + "print(f\"{len(logs_4)} updates\\n\")\n", + "\n", + "final_steepest_descent, logs_5 = steepest_descent(X, Y, initial_theta, epochs = 60)\n", + "print(\"steepest descent:\")\n", + "print_theta(final_steepest_descent)\n", + "print(f\"{len(logs_5)} updates\\n\")" ] }, { @@ -299,12 +327,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 4. Reprezentacja graficzna regresji wielomianowej" + "## 4. Reprezentacja graficzna regresji wielomianowej i funkcji kosztu" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 29, "metadata": { "scrolled": false }, @@ -328,6 +356,18 @@ }, "output_type": "display_data" }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "image/png": 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\n", 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\n", 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" ] @@ -384,6 +448,49 @@ "needs_background": "light" }, "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Metoda najszybszego spadku:\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ @@ -395,15 +502,63 @@ " chart.plot(X_plot, Y_plot, color=\"red\", lw=2, label=f\"degree {len(theta)}\")\n", " plt.ylim([0,250])\n", " plt.show()\n", + " \n", + "\n", + "def plot_cost_function(logs):\n", + " no_iter = no_iter = [x for x in range(1, len(logs) + 1)]\n", + " all_cost = [row[0] for row in logs]\n", + " \n", + " fig = plt.figure(figsize=(10,5)) \n", + " plt.plot(no_iter, all_cost)\n", + " plt.xlabel('No. of iterations')\n", + " plt.ylabel('Cost')\n", + " plt.show()\n", + " \n", "\n", "print(\"BGD:\")\n", "plot_polynomial_regression(final_theta_BGD)\n", + "plot_cost_function(logs_1)\n", "print(\"MBGD:\")\n", "plot_polynomial_regression(final_theta_MBGD)\n", + "plot_cost_function(logs_2)\n", "print(\"SGD:\")\n", "plot_polynomial_regression(final_theta_SGD)\n", + "plot_cost_function(logs_3)\n", "print(\"Momentum:\")\n", - "plot_polynomial_regression(final_theta_momentum)" + "plot_polynomial_regression(final_theta_momentum)\n", + "plot_cost_function(logs_4)\n", + "print(\"Metoda najszybszego spadku:\")\n", + "plot_polynomial_regression(final_steepest_descent)\n", + "plot_cost_function(logs_5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 5. Reprezentacja graficzna funkcji kosztu" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_cost_function(logs):\n", + " no_iter = no_iter = [x for x in range(1, len(logs) + 1)]\n", + " all_cost = [row[0] for row in logs]\n", + " plt.plot(no_iter, all_cost)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# MBGD\n", + "plot_cost_function(logs_2)" ] }, {