{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Algorytm najszybszego spadku dla regresji wielomianowej. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Skład grupy:\n", "- Nowak Anna,\n", "- Łaźna Patrycja,\n", "- Bregier Damian" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0. Podstawowe informacje o zbiorze danych" ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Ze względu na specyfikę wytycznych projektu zakładającego wykorzystanie jedynie dwóch cech: x i y oraz modelowanie zależności y od x za pomocą funkcji wielomianowej dobrany został przez nas odpowiedni dataset. Obejmuje on jedynie trzy kolumny, czyli: płeć, wzrost w calach oraz wagę w funtach, z czego ze względu na specyfikę projektu wykorzystywane są jedynie wzrost oraz waga. Każdy z parametrów zawiera po 10 tysięcy unikalnych wartości.\n", "\n", "![image.png](attachment:image.png)\n", "\n", "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": 1, "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": {}, "source": [ "## 1. Wczytywanie i preprocessing danych" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Stopień wielomianu\n", "degree = 4\n", "plot_degree = 1\n", "X_plot = np.linspace(0, 100, 1000)\n", "initial_theta = np.matrix([0] * (degree + 1)).reshape(degree + 1, 1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Wybór dwóch kolumn - dotyczących wzrostu i wagi\n", "data = pd.read_csv('weight-height.csv')[[\"Height\", \"Weight\"]]\n", "# Czyszczenie tabeli i wartości pustych\n", "data = data.dropna()\n", "data_matrix = np.matrix(data)\n", "\n", "m, n_plus_1 = data_matrix.shape\n", "n = n_plus_1 - 1\n", "X = (np.ones((m, 1)))\n", "\n", "for i in range(1, degree + 1):\n", " Xn = np.power(data_matrix[:, 0:n], i)\n", " Xn /= np.amax(Xn, axis=0)\n", " X = np.concatenate((X, Xn), axis=1)\n", "\n", "X = np.matrix(X).reshape(m, degree * n + 1)\n", "Y = np.matrix(data_matrix[:, -1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Metody regresji wielomianowej" ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Regresja wielomianowa służy do obliczania zależności pomiędzy zmienną zależną a jedną lub więcej zmiennymi niezależnymi, które mogą występować w wyższych potęgach. Wykorzystywana w przypadku zbiorów cechujacych się nieliniowymi zależnościami.\n", "\n", "Równanie regresji wielomianowej:\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def print_theta(theta):\n", " print(\"f(x) = \", end=\"\")\n", " for i,x in enumerate(theta.tolist()[:-1]):\n", " x = x[0]\n", " print(f\"{x}x^{i}\", end=\" + \")\n", " print(f\"{theta.tolist()[-1][0]}^{len(theta) - 1}\")\n", "\n", "# Implementacja wzoru na regresję wielomianową\n", "def polynomial_regression(theta, x):\n", " x = x/data[\"Height\"].max()\n", " return sum(theta * np.power(x, i) for i, theta in enumerate(theta.tolist()))\n", "\n", "# Implementacja wzoru na RMSE, czyli pierwiastek z błędu średniokwadratowego\n", "def mean_squared_error(theta, X, Y):\n", " J = 1.0 / (2.0 * m) * ((X * theta - Y).T * (X * theta - Y))\n", " return J.item()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Wybrane rodzaje gradientów" ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Metoda gradientu prostego to algorytm numeryczny mający na celu znalezienie minimum lokalnego dla zadanej funkcji celu. Jak sama nazwa wskazuje jest to jedna z prostszych metod, która opiera się na iteracyjnym poszukiwaniu minimum. Proces ten (dla pierwszych czterech kroków), został pokazany na poniższym rysunku.\n", "![image.png](attachment:image.png)" ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Metoda gradientu prostego\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Wzór na gradient prosty\n", "def gradient(theta, X, Y):\n", " return 1.0 / len(Y) * (X.T * (X * theta - Y)) " ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Metoda najszybszego spadku jest iteracyjnym algorytmem wyszukiwania minimym zadanej funkcji celu i stanowi modyfikację gradientu prostego. Na samym początku algorytmu wybierany jest punkt startowy, w którym jest obliczany antygradient funkcji celu stanowiący kierunek poszukiwań w procedurze. Kolejny krok jest obliczany w oparciu o poprzedni i jeżeli nie spełnia on warunku stopu to obliczenia są powtarzane do skutku. \n", "\n", "Podstawową różnicę w stosunku do gradientu prostego stanowi sposób wyszukiwania wartości, która jest dokonywana przez minimalizację kierunkową funkcji. \n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Steepest descent\n", "def steepest_descent(X, Y, theta, cost_function = mean_squared_error, \n", " 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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ponadto w toku prac projektowych przetestowane zostaly także inne algorytmy takie jak batch gradient descend (BGD), BGD z momentum, mini-batch gradient descend oraz stochastic gradient descend. \n", "\n", "BGD to metoda w której błąd obliczany jest dla każdego parametru ze zbioru treningowego, ale sam model jest aktualizowany dopiero po ocenie wszystkich danych. \n", "\n", "MBGD opiera się na podziale danch treningowych na niewielkie pakiety, które są potem wykorzystywane do obliczania wartości błędu i aktualizacji modelu.\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [], "source": [ "# Batch gradient descend (BGD)\n", "def BGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, \n", " eps=10**-5, max_steps = 10000000000):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " \n", " for i in range(max_steps):\n", " theta = theta - learning_rate * gradient(theta, X, Y)\n", " next_cost = cost_function(theta, X, Y)\n", " logs.append([next_cost, theta])\n", " if abs(cost - next_cost) <= eps:\n", " break\n", " cost = next_cost\n", " return theta, logs\n", "\n", "# BGD z momentum\n", "def momentum(X, Y, theta, cost_function = mean_squared_error, \n", " learning_rate=0.1, momentum = 0.3, epochs=30, degree=degree):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " delta_history = [np.matrix([0]*(degree+1)).T]\n", " for i in range(epochs):\n", " delta_history.append(momentum * delta_history[-1] + \n", " learning_rate * gradient(theta, X, Y))\n", " theta = theta - delta_history[-1]\n", " next_cost = cost_function(theta, X, Y)\n", " logs.append([next_cost, theta])\n", " cost = next_cost\n", " return theta, logs\n", "\n", "# Mini-batch gradient descend (MBGD)\n", "def MBGD(X, Y, theta, cost_function = mean_squared_error, \n", " learning_rate=0.1, epochs=5, batch_size=16):\n", " cost = cost_function(theta, X, Y)\n", " logs = [[cost, theta]]\n", " start, end = 0, batch_size\n", " \n", " steps = m / batch_size\n", " for i in range(epochs):\n", " zipped_XY = list(zip(X, Y))\n", " random.shuffle(zipped_XY)\n", " X_shuffled, Y_shuffled = zip(*zipped_XY)\n", " X_shuffled = np.concatenate(X_shuffled, axis=0) \n", " Y_shuffled = np.concatenate(Y_shuffled, axis=0) \n", " for j in range(int(steps)):\n", " batch = X_shuffled[start:end,:], Y_shuffled[start:end,:]\n", " theta = theta - learning_rate * gradient(theta, batch[0], batch[1])\n", " cost = cost_function(theta, X, Y)\n", " logs.append([cost, theta])\n", "\n", " if start + batch_size < batch_size:\n", " start += batch_size\n", " else:\n", " start = 0\n", " end = min(start + batch_size, m)\n", " return theta, logs\n", "\n", "# Stochastic gradient descend (SGD)\n", "def SGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1,\n", " epochs=5):\n", " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Zestawienie wyników" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "final_theta_SGD, logs_3 = SGD(X, Y, initial_theta, epochs = 60)\n", "print(\"SGD:\")\n", "print_theta(final_theta_SGD)\n", "print(f\"{len(logs_3)} updates\\n\")\n", "\n", "final_theta_BGD, logs_1 = BGD(X, Y, initial_theta)\n", "print(\"BGD:\")\n", "print_theta(final_theta_BGD)\n", "print(f\"{len(logs_1)} updates\\n\")\n", "\n", "final_theta_MBGD, logs_2 = MBGD(X, Y, initial_theta, epochs = 60)\n", "print(\"MBGD:\")\n", "print_theta(final_theta_MBGD)\n", "print(f\"{len(logs_2)} updates\\n\")\n", "\n", "\n", "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\")\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\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wniosek:\n", "Metoda najszybszego spadku oraz momentum cechują się najszybszą zbieżnością do minimum lokalnego danej funkcji. Przeciętnie, dla zadanych parametrów, minimum jest osiągane w ciągu 61 aktualizacji. Podczas gdy SGD wymaga ich ponad 600 tysięcy. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Reprezentacja graficzna regresji wielomianowej i funkcji kosztu" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "def plot_polynomial_regression(theta):\n", " fig = plt.figure(figsize=(10,5))\n", " Y_plot = polynomial_regression(theta, X_plot).tolist()\n", " chart = fig.add_subplot()\n", " chart.plot(data[\"Height\"], Y ,\"go\")\n", " 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)\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": [ "### Wizualizacja metody najszybszego spadku dla wielomianu drugiego stopnia" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "initial_theta_plot = np.matrix([0] * (plot_degree + 1)).reshape(plot_degree + 1, 1)\n", "m, n_plus_1 = data_matrix.shape\n", "n = n_plus_1 - 1\n", "X_plot = (np.ones((m, 1)))\n", "\n", "for i in range(1, plot_degree + 1):\n", " Xn = np.power(data_matrix[:, 0:n], i)\n", " Xn /= np.amax(Xn, axis=0)\n", " X_plot = np.concatenate((X_plot, Xn), axis=1)\n", "\n", "X_plot = np.matrix(X_plot).reshape(m, plot_degree * n + 1)\n", "Y_plot = np.matrix(data_matrix[:, -1])\n", "\n", "\n", "steepest_descent_deg_2, logs_deg_2 = steepest_descent(X_plot, Y_plot, initial_theta_plot, epochs = 60)\n", "momentum_deg_2, logs_momentum_2 = momentum(X_plot, Y_plot, initial_theta_plot, epochs = 60, degree=1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "cost_history = [row[0] for row in logs_deg_2]\n", "all_thetas = [row[1] for row in logs_deg_2]\n", "\n", "\n", "theta0_history = [row[0].item() for row in all_thetas]\n", "theta1_history = [row[1].item() for row in all_thetas]\n", "\n", "cost_history = np.array(cost_history)\n", "theta0_history = np.array(theta0_history)\n", "theta1_history = np.array(theta1_history)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "cost_history_momentum = [row[0] for row in logs_momentum_2]\n", "all_thetas_momentum = [row[1] for row in logs_momentum_2]\n", "\n", "theta0_history_momentum = [row[0].item() for row in all_thetas_momentum]\n", "theta1_history_momentum = [row[1].item() for row in all_thetas_momentum]\n", "\n", "cost_history_momentum = np.array(cost_history_momentum)\n", "theta0_history_momentum = np.array(theta0_history_momentum)\n", "theta1_history_momentum = np.array(theta1_history_momentum)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "theta0_vals = theta0_history\n", "theta1_vals = theta1_history\n", "J_vals = np.zeros((len(theta0_vals), len(theta1_vals)))\n", "\n", "c1=0\n", "c2=0\n", "pom = 0\n", "for i in theta0_vals:\n", " for j in theta1_vals:\n", " t = np.array([i, j])\n", " J_vals[c1][c2] = cost_history[pom]\n", " c2=c2+1\n", " c1=c1+1\n", " pom += 1\n", " c2=0" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "theta0_vals_momentum = theta0_history_momentum\n", "theta1_vals_momentum = theta1_history_momentum\n", "J_vals = np.zeros((len(theta0_vals_momentum), len(theta1_vals_momentum)))\n", "\n", "c1=0\n", "c2=0\n", "pom = 0\n", "for i in theta0_vals_momentum:\n", " for j in theta1_vals_momentum:\n", " t = np.array([i, j])\n", " J_vals[c1][c2] = cost_history_momentum[pom]\n", " c2=c2+1\n", " c1=c1+1\n", " pom += 1\n", " c2=0" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import plotly.express as px\n", "fig = px.line_3d(x=theta0_vals, y=theta1_vals, z=[x[0] for x in J_vals])\n", "fig.show()\n", "fig2 = px.line_3d(x=theta0_vals_momentum, y=theta1_vals_momentum, z=[x[0] for x in J_vals])\n", "fig2.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import plotly.graph_objects as go\n", "\n", "fig = go.Figure(data=[go.Surface(x=theta0_vals, y=theta1_vals, z=J_vals)])\n", "fig.update_layout(title='Loss function for different thetas', autosize=True,\n", " width=600, height=600, xaxis_title='theta0', \n", " yaxis_title='theta1')\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import plotly.graph_objects as go\n", "\n", "fig = go.Figure(data=[go.Surface(x=theta0_vals_momentum, y=theta1_vals_momentum, z=J_vals)])\n", "fig.update_layout(title='Loss function for different thetas', autosize=True,\n", " width=600, height=600, xaxis_title='theta0', \n", " yaxis_title='theta1')\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Zjawisko over- i underfittingu" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jednymi z najważniejszych podstawowych pojęć nauki o danych są pojęcia nadmiernego dopasowania i generalizacji. Jeśli pozwolimy sobie na wystarczającą elastyczność podczas poszukiwania wzorców w konkretnym zbiorze danych, to te wzorce znajdziemy. Niestety, te „wzorce” mogą być tylko zdarzeniami losowymi w ramach danych.\n", "W ogólności, chcemy aby model poprawnie przewidywał nowe dane, więc jest to zjawisko nieporządane.\n", "\n", "Innym zjawiskiem jest niedostateczne dopasowanie. Jest to sytuacja, gdy model nie potrafi właściwie ani modelować danych treningowych, ani nie jest w stanie zrobić nic sensownego z nowymi danymi." ] }, { "attachments": { "fitting.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![fitting.png](attachment:fitting.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Regresja wielomianowa z wykorzystaniem gotowych bibliotek" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import PolynomialFeatures, StandardScaler\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.linear_model import Ridge, LinearRegression" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "model = make_pipeline(PolynomialFeatures(degree=degree, include_bias=True), \n", " LinearRegression())\n", "model.fit(data[[\"Height\"]],Y)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "Y_plot_2 = model.predict([[x] for x in X_plot])\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "chart = fig.add_subplot()\n", "chart.plot(data[\"Height\"], Y ,\"go\")\n", "chart.plot(X_plot, Y_plot_2, color=`\"red\", lw=2, label=f\"degree {degree}\")\n", "plt.ylim([0,250])\n", "plt.xlim([0,100])\n", "degree" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "polyfit_theta = np.polyfit(data[\"Height\"]/data[\"Height\"].max(), Y, degree)\n", "plot_polynomial_regression(polyfit_theta)" ] } ], "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": 4 }