662 lines
362 KiB
Plaintext
662 lines
362 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Algorytm najszybszego spadku dla regresji wielomianowej. "
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Skład grupy:\n",
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"- Nowak Anna,\n",
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"- Łaźna Patrycja,\n",
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"- Bregier Damian"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 0. Podstawowe informacje o zbiorze danych"
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]
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},
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{
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"attachments": {
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"image.png": {
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"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": 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": {},
|
|
"source": [
|
|
"## 1. Wczytywanie i preprocessing danych"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Stopień wielomianu\n",
|
|
"degree = 4\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": 4,
|
|
"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"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"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 wzrosu 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)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Wzór na gradient prosty\n",
|
|
"def gradient(theta, X, Y):\n",
|
|
" return 1.0 / len(Y) * (X.T * (X * theta - Y)) "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Batch gradient descent (BGD)\n",
|
|
"def BGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, 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, learning_rate=0.1, momentum = 0.9, epochs=30):\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] + 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 descent (MBGD)\n",
|
|
"def MBGD(X, Y, theta, cost_function = mean_squared_error, 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 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",
|
|
"\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"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## 4. Zestawienie wyników"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"BGD:\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) = -20.49538398624665x^0 + 43.83203531549893x^1 + 74.9580517022499x^2 + 83.08157339221718x^3 + 75.75845309811228^4\n",
|
|
"37501 updates\n",
|
|
"\n",
|
|
"SGD:\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) = 8.015549563834483x^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"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"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",
|
|
"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_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\")"
|
|
]
|
|
},
|
|
{
|
|
"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": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## 4. Reprezentacja graficzna regresji wielomianowej i funkcji kosztu"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"BGD:\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 720x360 with 1 Axes>"
|
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]
|
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},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
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{
|
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"MBGD:\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 720x360 with 1 Axes>"
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]
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|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"SGD:\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 720x360 with 1 Axes>"
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]
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|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
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{
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"data": {
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"image/png": 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OEDcPmJeZdxQ/X0Ml1C0oTpFSPC+s2n6vqv3HA/OL8vE1yl8mMy/KzMmZObmrq6tpb6SRrJ0nJUmSmmLQQ1xmPgvMjYiDiqITgQeBacAZRdkZwM+L5WnA1IgYGRH7UrmAYXpxynVFRBxbXJV6etU+kiRJW7RNTfbbKv8TuDwiRgBPAB+jEiivLu4GMQd4P0BmPhARV1MJet3AOZnZUxznbOASKrcAu654tJWTnEiSpMHQlhCXmfdSufPDxk6ss/35wPk1ymfw4iTEkiRJW412zRMnSZKkATDESZIklZAhTpIkqYQMcZIkSSVkiJMkSSohQ1yrONevJElqIUNckzlNnCRJGgyGOEmSpBIyxEmSJJWQIU6SJKmEDHGSJEklZIiTJEkqIUOcJElSCRniWsRp4iRJUisZ4poswpniJElS6xniJEmSSsgQJ0mSVEKGOEmSpBIyxEmSJJWQIU6SJKmEDHGSJEklZIhrkXSiOEmS1EKGOEmSpBIyxDWZc/1KkqTBYIiTJEkqIUOcJElSCRniJEmSSsgQJ0mSVEJtC3ER0RkR90TEL4qfd4mIGyPiseJ556ptz4uIWRHxSEScVFV+dETMLNZdEOFlBZIkaevQzp64TwEPVf18LnBzZk4Ebi5+JiIOAaYChwJTgO9GRGexz4XAWcDE4jFlcKouSZLUXm0JcRExHngX8P2q4lOAS4vlS4FTq8qvzMy1mTkbmAUcExFjgdGZeXtmJnBZ1T5tlzjbryRJap129cR9A/gc0FtVtntmPgNQPO9WlI8D5lZtN68oG1csb1zeVp7PlSRJg2HQQ1xEnAwszMy7NneXGmXZoLzWa54VETMiYsaiRYs282UlSZKGrnb0xL0eeE9EPAlcCbwlIn4MLChOkVI8Lyy2nwfsVbX/eGB+UT6+RvnLZOZFmTk5Myd3dXU1871IkiS1xaCHuMw8LzPHZ+YEKhcs3JKZHwGmAWcUm50B/LxYngZMjYiREbEvlQsYphenXFdExLHFVamnV+0jSZK0RRvW7gpU+SJwdUScCcwB3g+QmQ9ExNXAg0A3cE5m9hT7nA1cAmwLXFc8JEmStnhtDXGZ+Wvg18Xyc8CJdbY7Hzi/RvkMYFLraihJkjQ0eccGSZKkEjLEtUg6TZwkSWohQ5wkSVIJGeKazLu3SpKkwWCIkyRJKiFDnCRJUgkZ4iRJkkrIECdJklRChjhJkqQSMsS1iNPESZKkVjLESZIklZAhrumcKE6SJLWeIU6SJKmEDHGSJEklZIiTJEkqIUOcJElSCRniJEmSSsgQJ0mSVEKGuBbJdLpfSZLUOoa4JguniZMkSYPAECdJklRChjhJkqQSMsRJkiSVkCFOkiSphAxxkiRJJWSIkyRJKiFDXIs4S5wkSWolQ5wkSVIJDXqIi4i9IuLWiHgoIh6IiE8V5btExI0R8VjxvHPVPudFxKyIeCQiTqoqPzoiZhbrLoho/1S7ba+AJEnaKrSjJ64b+OvMfBVwLHBORBwCnAvcnJkTgZuLnynWTQUOBaYA342IzuJYFwJnAROLx5TBfCOSJEntMughLjOfycy7i+UVwEPAOOAU4NJis0uBU4vlU4ArM3NtZs4GZgHHRMRYYHRm3p6VG5VeVrWPJEnSFq2tY+IiYgJwFHAHsHtmPgOVoAfsVmw2Dphbtdu8omxcsbxxuSRJ0havbSEuInYA/hP4dGYub7RpjbJsUF7rtc6KiBkRMWPRokWvvLKSJElDTFtCXEQMpxLgLs/Ma4viBcUpUornhUX5PGCvqt3HA/OL8vE1yl8mMy/KzMmZObmrq6t5b0SSJKlN2nF1agAXAw9l5teqVk0DziiWzwB+XlU+NSJGRsS+VC5gmF6ccl0REccWxzy9ap/2c6I4SZLUQsPa8JqvBz4KzIyIe4uyvwe+CFwdEWcCc4D3A2TmAxFxNfAglStbz8nMnmK/s4FLgG2B64qHJEnSFm/QQ1xm/o7606mdWGef84Hza5TPACY1r3YDNwSmqpMkSVsB79ggSZJUQoY4SZKkEjLESZIklZAhTpIkqYQMcZIkSSVkiJMkSSohQ1yLpLP9SpKkFjLESZIklVA77tiwRXOqX0naMnT39PKD389m+eruhtu987CxHLLn6EGqlfQiQ5wkSTU8/OwK/u2XDxMBHXXuxtPTm8x/fjVf++CRg1s5CUOcJEk19fRWxjZ///TJnPiq3Wtuc/xXbqUnHQOt9nBMnCRJNfQW4axeL5zUboY4SZJq6OtfM8NpqDLESZJUQ9oTpyHOENciDpGQpHIrhsQZ4jRkeWGDJLXYmvU9nPSN21i4fG3D7T563D78/TtfNUi10qb09vb1xLX2de544jkefGZ5w2322XU73nJw7YsrtPUyxDXZlvaFbdW67g3fRmsZ1hFsM7xz8CokldCSlet46rlVvHHiGF41tvZ8Yv9133xmzls2yDVTI32ffdHiD/a//sl9zFu6uuE2nR3BI/8yhWGdnkDTiwxxqmvaffP55BX3NNymI+DHZ76W1x0wZpBqJZVP31WO7z5iTz4wea+a28yct2zDlBYaGvrGxA0kwy1fs55v3vQYq9b11N1m3tLVTNh1O352zutrrr/kD0/yjZseY11PryFOL2GIU11zl6wC4Nx3HExnjU+x5WvW861bZjF36arBrpq2ElfPmMvtjz/XcJv9u7bnr94ysd+vMXPeMr5ywyP09PbW3WZEZwdfePehTBizfb9eo+/QjcZWdXYE63rq12FL8uTilXz/d0/Q6O2OHNbBX56wP7uN2mbwKraRvki9qTFxjcZA3/XkUi7+3Wx22m44wxsEsCefW8VO242ouW6nbYcDsHZ9L3U20VbKEKe6unsqn0z/44370VljUMjCFWv41i2zWN9j74Fe7qo75zDtvvkNt+nuSU4+Yk9GdNb+I/nlXz3C2u5edtm+9l+uZavX89N71vOJN+/f7x6K3zy6kNseXcTR++xc87Z5a7t7mfn0Mt51+NL+h7jir3yjKnZ2BN1bSU/cz+59mh//cQ5do0bWXN/TmyxZuY7Dxu3Ifzt6/CDX7kUvzhPX/2P0/Zv++MzXMmncjjW3mXDu/2t4jBHDKkNWzrz0TkYMq/2faFhHB3835WAOG1/7NbRlMsSprp5NfIAN76h8mKzfSnoP9Mr8591P89D85Ry0x6ia659dvoZ5S1dzx+wlDY/ztycdxDknHFBz3XduncVXrn+Ensx+f5j1/ZH9yV8cR0eN/+xzl6zijV++tZ9Hr+jZjKkqOjtiw0D6svuXXzzIPXOW1l3/9POr2WHkMO78/Ftrru9r83a3xuaMidvUeLme3oFPU/La/XbhjRPHsLa7t+YY5d7e5I9PLOYNjy82xG1lDHElNe2++dz++OKG2+zftQN//sb9+v0avb1JZ0fU/ZAaVvSedJegJ+7+p5dt8rTcbqNHcsqR4wapRlu+nt7k8L125PI/P7buNs+9sJa13fW/BHREsPvo2r01wIYe4oGMJevuSTqCmgGuWTZnvrGh0hN36R+e5DePLmq4zQG77dDwKtqr75zL6G2Hs19X7Z7LA3cfxVF77TSQag6KZvTEvdgL2/+D7N+1Az8687V1169e18Or/uFX/T7+5po5bxk/vefphttsN6KTs4/fn+1HGi8Gg63cBtPum8/19z/bcJvdRo/kf7/rkLp/WL5506PMW7qaHYuxEhtbubablet6+Pjr9+33H6eezJpj4fr0je+46aEFPLdyXd3tXrvfLpxw0G79qkOz/NsvH+IPmwhxAG84YAy77lA/NGwtrpw+h4tue6LhNqO2Hc5lHz+m7v/B7t5kWEfjU5wDbethzQhxvdnyweI9mzMmLoZGT9xltz/J4hfWsfcu29Vcv2D5Gm55eCHnTjm47mfLup5eTj58LOeVfLqUZkz22/d/c0u4HuGSPzzJf949j1F1Alp3b7J6fQ/H7LsLbzqwa5Brt3UyxDVZ3y/7X15+94Y/MBtbWVyldMBuO9Rcv2z1ehatWMvZb96f3UbXHtS7rqeXdx02lq998Mia679502N8/aZHX2HtX6q3N2n0N3hEZwcH7zGKe+Y+zz1zn6+5zfqeXm55eEHbQ9zKtd284YAxfO+jR9dcf/Wdc/nnXzzY8qsDv3L9wzy24IWG2xy590785fG1Tx8OltseW8SiFWs5/uDa/24Llq9h+uwlPPXcSg4fv1PNbXp6e+v+DjRLc3riWl/PzRoT1xk8sfgFTvzqr+mI2NAL3tlR+VzpiCACDh+3IyMbTOvz7sP3HNApte7e5ISDuvjG1KNqrt/UZ0tmsq6nt+7YrVci2zxret/LDyTElen+qzPnLePp5+tPdXLd/c9Utvunk2quv3vOUt733T9seM9qPUNckx20xyg++7YDWb56fcPt3n3EnhxR53TC5Xc8xed/en/D/dd3Z8MrnZqhp7dxT1xHR/CrT7+p4TE+c9W9zHiq8ZingcpMbntsccM2X/zCOvbYcRt2qPMNcuTwSlu28qMnM/nOrY8DcHCdcWKLVqzlD48/1/YQt667l7122Y5vfaj2H/LbHl3E6bOns67BqdDunhzQKaTN0Re+Gp2GXLZqPc+trD/J7pKV61oe4vpCZqPxU1NfsxdBJTj0ZtLTm/QWy72ZrF7Xw33znufhZ1bUPcaa7h7mLlnF1+t8uYNKmzXqeezuadwz2fcH+k9PL6t5mrGnN8mk5Z9PzbBizXoeatCeDz9bWTeQ/NWMMXGbayDZaX1PL//twj8M6Arptesr+/7ZD+9k/M7b1txmzfpejt5np7rjXAFGbzO83xcRQeV3+qLbnmj4+RRR+Z2buHvtz+KyMMQ12fDODj55Yv+nO9hc3b29DB9W/0NhbXelt2/affPrfgAN6+jgzQd11Q02PZkDHic0clgHq9f1ML/Bt7tthnfWvfpwczyyYAVn/GD6Jrd766vq9wZGcV1iow/BlWu7eXb5mrrrF61Yy60PL2zYngAfPXYf/uXUSTW36evlOOqfb6j7OktXrWefXbfjiDo9YABvmDiG92/iqr5GgWJtd+OelL51jT4ke3pzw7jJVun7/1nvNGRmcsJXf82SBqf7Acbu2NppLPr+XzX6UvTGiV28ceLATkF94Hu3c939z3Ld/fXHR+2y/Qh+93cnsN2I2v9P1/X0MrzBv9v1D1SGgpz6nd83rMvobdr/52XuklUN/+2/c+ssbnhwwSaPU+93enO8eDq1db8LzciHq9b2sK6nl7940351xwa/84LfNjzGwhUvfj4es+8uNbe59u6nuf6BBVz/QON2/+3nTmCvOqf0N+XXjyzke7+pfGGud+p3xdpuMuEf3n1Iv15jqGj/b5leZmnxofOZq++tO0fSstXrG37T7Zva4dNX3dvwtT50zN68/ZDat3KZu2TVgD94Rm0zjMUvrON1X7yl4XafePP+TBpXeyb7F9Z0M3J4B+N2qv0L/cD8yiz3X/vAERze4DTSPrtu+pvdnCWrirtUJD29FL0hSXdv8rEfTmfpqsY9rJvjv/40v26Ie+9R43h+9bq6pwcXLF/D9Q8s4KnnVtX9Zj978Uqm3Tefz13zp4b1eN+rx3FgnW+hTz23ij0aBJu+EPftW2dxzd3zitN9lTDc0VEJiM8uX8PBde5O0Cx9V0i/61u/q9mbtr4nN/wR/+bUI+seZ/+u2kMb4MWep7/5yX188bqHam6TCW8+sIt/fe+kl3wR6Ft8YW03QMPhCc3wv05+Fb+bVf+Cp3vnPM8NDy7ghTXddUNc5fRy/YouKL7IfOODRzKqTlDr7AiO3W/XV1Dz5lu6ch3H//uvN3mq/dV778Rfv/2guusH2iu04XRqq+/dtQl3z1nKl657uO6pznXFBWoTxmzPIXv27/e2ryfutKPH8+/vP6LmNtfeXbkw4uIzJtet53dufZynn1/NjtsNf+kX6+x7erGw1u/bwhWVnvff/d0JjN+59t+Nyf96E6vX15+AOTOZvXjlJqfQGrPDiLaOozbEDUF9V/XcO+f5uv85xu20LcdMqP1NB+D1+4/hqhlzueEzb6obxD78/93BFdPncMX0OXWPM2HX/n0T6nPWm/Zn4m6jXvJLV+3B+cu59PanNnxrGogj9tqp4R/jRkYWoeQD/3F7w+3279q+bk/rp668F4CH/2VKzUCxcl0PR/zTDRxWZ64ogL133Y4vvPvQuusfXbCC6x9YwAcmj+fLp9X+kOybc+rTb61dz2Wr1/PD3z+54cO0ntcfUP+P8L67bs9h43Zk3tLVzFmyasMpwN7MYrkyZvLVe+/U8DUG6s0HdfGRY/eu2yP4wtpufjnzWSbutkO/rzxesaZ7w/JJh+5Rc5vL75jDtfc8zbWbuHJvRGdrb1F3+Pid6o5RBLj4d7O54cEFHPfFW9hj9DZEsCGA9425e371+oY9qH13Hnj7obvXDYLN8vmf3s9dTy19WQ/5pv6IQ+VUaU9vcs4J+3P0PjvXfY1Je+5Yd+zx5pi9eCWzF6+s2xv25HOVydAb9cI2y5d+9TC/rxPi5yxZxdPPr+a1dXrIhnfC8Qd1DSh8950B2mb4pr+tnPiq2p0HsxevBGDqRX/sdz1erE/9MwXbDO/gwWeWc8nvZ9dcf9NDCxt+Iepz7jsO5hNv3r/fdRyo0oe4iJgCfBPoBL6fmV9sc5UG7PTjJjBl0h6M3bH2mILN8a/vncTfTjmIMQ2+IUz7q9czf1n904NQCYsD0TVqJB94Te3bDEHl2847DhvLztuNqHsZ/+IX1m1yoOzobYb3O8ABvPOwsRumeBjWEXR0BJ3FoPLOjo4Nz5P32bnupfMnHLwbTy1eVfdesjtu28HPznl93QtaNseBu4/iko+9puEH7a1/czwvrOluOLj979/5qk1ODdPog3jn7UfwX//zDZuucIvtPnob/vXUwxpu87N7nuZ1+/f/D9Ohe47ms287kP/+2r3r/j6dffz+/HLmMxsCRfXf675T9duO6OQ1+9YPE4Ph+IO6mD57d0ZvM5yEqtCdG8ayHbTHKE4+fM+6x/juh1/N9387m21beM/kMTuM5JCxo3l2+RpufWThhvKomo75pW38Un1DBQ7YbQc+OHlv9h7gl9FG3nvUOH772CLuq3NxF1ROLTYaMvKmA7t49+Fj+12H6rMy9XqXukaN5O2H7M7/Orn/pw+P229X7n+6/v19JxcdC++cVP+9jBzWwYgGZ5H6/ua8Y9IeG8J39dCPvqV6//4RwbdumcXiF9bWPZUKsO+Y7fntY4sb/rsBXPChoxqOma03D+ZgiXZf/TMQEdEJPAq8DZgH3Al8KDMfrLfP5MmTc8aMGYNUQ0mSWi8zNznx8FDQ11s3cljtLwGZlSEQAzlF2dubrFjTzY7b1Z7+CCrDBqp72WvZbmRn3XoOpoi4KzNrnn8ue0/cMcCszHwCICKuBE4B6oY4SZK2NGUIcFA/vPWJiAGPMevoiIYBDmBYZwc7D+CCuqFi6F8D3tg4YG7Vz/OKMkmSpC1a2UNcra8eLzs/HBFnRcSMiJixaFHj28lIkiSVQdlD3DygetT8eGD+xhtl5kWZOTkzJ3d1eSsQSZJUfmUPcXcCEyNi34gYAUwFprW5TpIkSS1X6gsbMrM7Iv4KuJ7KFCM/yMwH2lwtSZKklit1iAPIzF8Cv2x3PSRJkgZT2U+nSpIkbZUMcZIkSSVkiJMkSSohQ5wkSVIJlfreqf0REYuAp1r8MmOAxS1+ja2Nbdp8tmlz2Z7NZ5s2l+3ZfIPRpvtkZs1Jbre6EDcYImJGvZvVqn9s0+azTZvL9mw+27S5bM/ma3ebejpVkiSphAxxkiRJJWSIa42L2l2BLZBt2ny2aXPZns1nmzaX7dl8bW1Tx8RJkiSVkD1xkiRJJWSIa7KImBIRj0TErIg4t931abeI+EFELIyI+6vKdomIGyPiseJ556p15xVt90hEnFRVfnREzCzWXRARUZSPjIirivI7ImJC1T5nFK/xWEScMUhvuaUiYq+IuDUiHoqIByLiU0W5bdpPEbFNREyPiPuKNv2notw2HYCI6IyIeyLiF8XPtucARMSTRVvcGxEzijLbtJ8iYqeIuCYiHi4+T48rZXtmpo8mPYBO4HFgP2AEcB9wSLvr1eY2eRPwauD+qrIvA+cWy+cCXyqWDynabCSwb9GWncW66cBxQADXAe8oyv8S+F6xPBW4qljeBXiieN65WN653e3RhPYcC7y6WB4FPFq0m23a/zYNYIdieThwB3CsbTrgdv0s8H+BXxQ/254Da88ngTEbldmm/W/PS4E/L5ZHADuVsT3b3pBb0qP4h7y+6ufzgPPaXa92P4AJvDTEPQKMLZbHAo/Uai/g+qJNxwIPV5V/CPiP6m2K5WFUJl2M6m2Kdf8BfKjdbdGCtv058DbbtGntuR1wN/Ba23RA7TgeuBl4Cy+GONtzYG36JC8PcbZp/9pyNDCb4rqAMrenp1Obaxwwt+rneUWZXmr3zHwGoHjerSiv137jiuWNy1+yT2Z2A8uAXRsca4tRdM8fRaXnyDYdgOLU373AQuDGzLRNB+YbwOeA3qoy23NgErghIu6KiLOKMtu0f/YDFgE/LE75fz8itqeE7WmIa66oUeblv5uvXvs1atf+7FN6EbED8J/ApzNzeaNNa5TZphvJzJ7MPJJKD9IxETGpwea2aQMRcTKwMDPv2txdapTZni/3+sx8NfAO4JyIeFODbW3TxoZRGeZzYWYeBaykcvq0niHbnoa45poH7FX183hgfpvqMpQtiIixAMXzwqK8XvvNK5Y3Ln/JPhExDNgRWNLgWKUXEcOpBLjLM/Paotg2bYLMfB74NTAF27S/Xg+8JyKeBK4E3hIRP8b2HJDMnF88LwR+ChyDbdpf84B5RY87wDVUQl3p2tMQ11x3AhMjYt+IGEFlMOO0NtdpKJoGnFEsn0FlXFdf+dTiqp59gYnA9KJbe0VEHFtc+XP6Rvv0Hes04JasDDS4Hnh7ROxcXGH09qKs1Ir3fzHwUGZ+rWqVbdpPEdEVETsVy9sCbwUexjbtl8w8LzPHZ+YEKp+Bt2TmR7A9+y0ito+IUX3LVN7X/dim/ZKZzwJzI+KgouhE4EHK2J7tHmC4pT2Ad1K5YvBx4PPtrk+7H8AVwDPAeirfQM6kMi7gZuCx4nmXqu0/X7TdIxRX+RTlk6l8aD0OfJsXJ6reBvgJMIvKVUL7Ve3z8aJ8FvCxdrdFk9rzDVS63v8E3Fs83mmbDqhNDwfuKdr0fuAfinLbdOBtezwvXthge/a/HfejcnXkfcADFH9bbNMBtemRwIzi9/5nVK4ULV17escGSZKkEvJ0qiRJUgkZ4iRJkkrIECdJklRChjhJkqQSMsRJkiSVkCFOUmlEREbEV6t+/puI+McWvM4VEfGniPjMRuWfiIjTi+U/i4g9m/iax0fE62q9liTVMqzdFZCkV2At8L6I+D+ZubgVLxARewCvy8x9Nl6Xmd+r+vHPqMwPtdmzrUfEsKzcR7GW44EXgD/UeC1Jehl74iSVSTdwEfCZjVdExD4RcXPRg3ZzROzd6EARsU1E/DAiZhY3wT6hWHUDsFtE3BsRb9xon38sev9OozLJ5+XFdttGxNER8ZviBuXXV92+59cR8W8R8RvgUxHx7oi4o3jNmyJi94iYAHwC+Ezf6/a9VnGMIyPij8V7+2kx03vfsb8UEdMj4tG++kbEoUXZvcU+E/vf5JKGKkOcpLL5DvDhiNhxo/JvA5dl5uHA5cAFmzjOOQCZeRjwIeDSiNgGeA/weGYemZm/rbVjZl5DZbb3D2fmkVTC5beA0zLzaOAHwPlVu+yUmW/OzK8CvwOOzcqNt68EPpeZTwLfA75e53UvA/6ueG8zgS9UrRuWmccAn64q/wTwzaJuk6ncLUXSFsbTqZJKJTOXR8RlwCeB1VWrjgPeVyz/CPjyJg71BirBi8x8OCKeAg4ElvejWgcBk4AbK7dQpJPK7eb6XFW1PB64quipGwHMbnTgIqzulJm/KYoupXI7nz7XFs93AROK5duBz0fEeODazHzslb4hSUOfPXGSyugbVO7Du32DbTZ1T8FoWm0qx3qg6EU7MjMPy8y3V61fWbX8LeDbRQ/gX1C5x+JArC2eeyi+mGfm/6XSo7gauD4i3jLA15A0BBniJJVOZi4BrqYS5Pr8AZhaLH+YymnLRm4rtiMiDgT2pnJz6821AhhVLD8CdEXEccXxhkfEoXX22xF4ulg+o87xNsjMZcDSqvF5HwV+s/F21SJiP+CJzLwAmAYcvum3I6lsDHGSyuqrwJiqnz8JfCwi/kQl6HwKNkzV8Yka+38X6IyImVROd/5ZZq6tsV09lwDfi4h7qZw+PQ34UkTcB9wLvK7Ofv8I/CQifgtUX2H7X8B7a11QQSXsfaV4b0cC/7yJun0QuL+o28FUxtRJ2sJE5qbOOEiSJGmosSdOkiSphAxxkiRJJWSIkyRJKiFDnCRJUgkZ4iRJkkrIECdJklRChjhJkqQSMsRJkiSV0P8PK2AMOPxtRugAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Momentum:\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 720x360 with 1 Axes>"
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]
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},
|
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"metadata": {
|
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"needs_background": "light"
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},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Metoda najszybszego spadku:\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
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"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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ntTqNHL4nzuFUSZLUorWGuAM1fm/UFcA7q+qdwDO7q9bpY9R3YoMkSWpff43bPZnkWuBHgH/YzE4ddFet04fDqZIkqQtr7Yl7DbAM/HhV/RmwFXh7Z7U6jfjGBkmS1IU1hbgmuL0feFaSlwNPVZX3xK2B706VJEldWOsbG/4lcA/wauBfAncneVWXFTtdDPtLJLBsT5wkSWrRWu+JewvwP1XVEwBJtgC/A9zWVcVOF0kY9pd4yp44SZLUorXeE7e0EuAaf3ES+37dGw163hMnSZJatdaeuN9K8lHgA83v1wC/2U2VTj+jviFOkiS167ghLsm3AudU1f+Z5AeB7wUC3MV4ooPWYDRY8jlxkiSpVScaEn0H8CRAVX2wqv5VVb2JcS/cO7qt2ulj2O+x7BsbJElSi04U4rZX1Z9OF1bVHmB7JzU6DdkTJ0mS2naiEDc6zroz26zI6WzoxAZJktSyE4W4P0ryv04XJrkKuLebKp1+RoOejxiRJEmtOtHs1J8EPpTktRwJbTuBM4B/0WG9Tiuj/hJP2BMnSZJadNyeuKr6YlW9BPgZ4HPN52eq6sXNq7hOSZJnJ7ktyaeTPJjkxUmem+SOJJ9pvp8zsf21SfYmeSjJyybKL05yX7PuXUlyqnXqks+JkyRJbVvru1N/t6p+sfl8rIXzvhP4rar6DuA7gQeBa4A7q2oHcGfzmyTnA7uAC4DLgXcn6TXHuR7YDexoPpe3ULfWDftLvjtVkiS1au5vXUhyFvB9wHsBqurpqvpL4Argpmazm4BXNstXALdU1XJVPQzsBS5J8gLgrKq6q6oKuHlinw3FnjhJktS2Rbw661uA/cCvJvlEkvckeQbjhwo/DtB8P7/Zfivw6MT++5qyrc3ydPmG4yNGJElS2xYR4vrAdwPXV9V3AX9NM3S6iln3udVxyo89QLI7yZ4ke/bv33+y9V238ezUg4w7DCVJktZvESFuH7Cvqu5uft/GONR9sRkipfl+YmL7cyf23wY81pRvm1F+jKq6oap2VtXOLVu2tHYhazUa9KiCpw/aGydJktox9xDXzGp9NMm3N0WXAQ8AtwNXNmVXAh9ulm8HdiUZJjmP8QSGe5oh1yeTXNrMSn3dxD4byrA/bmaHVCVJUltO9Jy4rvwfwPuTnAF8FvgxxoHy1uZBwo8ArwaoqvuT3Mo46B0Arq6qlVkCbwBuZPz2iI80nw1nOBhPph2/P3Ww2MpIkqTTwkJCXFV9kvFDg6ddtsr21wHXzSjfA1zYauU6MGp64pbtiZMkSS1ZxD1xX3dGTU+cjxmRJEltMcTNwZEQZ0+cJElqhyFuDkaDZmLDAXviJElSOwxxc+BwqiRJapshbg5G/WZ2qsOpkiSpJYa4ORg6nCpJklpmiJuDlZ44JzZIkqS2GOLm4PDEBu+JkyRJLTHEzcHQiQ2SJKllhrg5WOmJWz7gcKokSWqHIW4OzugtkcCyPXGSJKklhrg5SMKwv8RT9sRJkqSWGOLmZDToeU+cJElqjSFuTkZ9Q5wkSWqPIW5ORoMlnxMnSZJaY4ibE4dTJUlSmwxxczIc9HzEiCRJao0hbk6G/SV74iRJUmsMcXMyGvR8xIgkSWqNIW5ORv0lH/YrSZJaY4ibEyc2SJKkNhni5sRHjEiSpDYZ4uZkNOixfMCeOEmS1A5D3JyMZ6faEydJktphiJuT8ezUg1TVoqsiSZJOA4a4ORkNelTB0wftjZMkSetniJuTYX/c1A6pSpKkNhji5mQ06AH4rDhJktSKhYW4JL0kn0jyG83v5ya5I8lnmu/nTGx7bZK9SR5K8rKJ8ouT3Nese1eSLOJa1uJwiPOtDZIkqQWL7Il7I/DgxO9rgDuragdwZ/ObJOcDu4ALgMuBdyfpNftcD+wGdjSfy+dT9ZN3ZDjVnjhJkrR+CwlxSbYB/xx4z0TxFcBNzfJNwCsnym+pquWqehjYC1yS5AXAWVV1V42nfN48sc+Gs9IT5z1xkiSpDYvqiXsH8GZgMtGcU1WPAzTfz2/KtwKPTmy3rynb2ixPl29Io0HTE+cDfyVJUgvmHuKSvBx4oqruXesuM8rqOOWzzrk7yZ4ke/bv37/G07brSE+cIU6SJK3fInrivgd4RZLPAbcA35/kPwJfbIZIab6faLbfB5w7sf824LGmfNuM8mNU1Q1VtbOqdm7ZsqXNa1mzUd/hVEmS1J65h7iquraqtlXVdsYTFj5WVT8M3A5c2Wx2JfDhZvl2YFeSYZLzGE9guKcZcn0yyaXNrNTXTeyz4awMp/r+VEmS1Ib+oisw4WeBW5NcBTwCvBqgqu5PcivwAHAAuLqqVpLQG4AbgTOBjzSfDWloT5wkSWrRQkNcVf0e8HvN8l8Al62y3XXAdTPK9wAXdlfD9hye2OA9cZIkqQW+sWFOhk5skCRJLTLEzcmRe+IcTpUkSetniJuTM3pLJPbESZKkdhji5iQJo37PnjhJktQKQ9wcDQdL9sRJkqRWGOLmaNTvGeIkSVIrDHFzNBos+Zw4SZLUCkPcHI0G9sRJkqR2GOLmaDjo8ZQTGyRJUgsMcXM06i+xbE+cJElqgSFujuyJkyRJbTHEzZE9cZIkqS2GuDlyYoMkSWqLIW6OfMSIJElqiyFujkaDHk8dsCdOkiStnyFujkaDHsv2xEmSpBYY4uZo2F/iqQMHqapFV0WSJG1yhrg5Gg16VMHTB+2NkyRJ62OIm6Nhf9zcTm6QJEnrZYibo9GgB+Cz4iRJ0roZ4uZoJcTZEydJktbLEDdHo8G4uZd9zIgkSVonQ9wcjfr2xEmSpHYY4uZo2PTE+cBfSZK0Xoa4OTpyT5whTpIkrY8hbo4cTpUkSW0xxM3RysQGe+IkSdJ6GeLm6PBz4g7YEydJktZn7iEuyblJfjfJg0nuT/LGpvy5Se5I8pnm+zkT+1ybZG+Sh5K8bKL84iT3NevelSTzvp6TMbQnTpIktWQRPXEHgH9dVX8PuBS4Osn5wDXAnVW1A7iz+U2zbhdwAXA58O4kveZY1wO7gR3N5/J5XsjJGvad2CBJktox9xBXVY9X1R83y08CDwJbgSuAm5rNbgJe2SxfAdxSVctV9TCwF7gkyQuAs6rqrqoq4OaJfTakIw/7dThVkiStz0LviUuyHfgu4G7gnKp6HMZBD3h+s9lW4NGJ3fY1ZVub5enyDeuM3hKJPXGSJGn9Fhbiknwj8F+An6yqrx5v0xlldZzyWefanWRPkj379+8/+cq2JAmjfs8QJ0mS1m0hIS7JgHGAe39VfbAp/mIzRErz/URTvg84d2L3bcBjTfm2GeXHqKobqmpnVe3csmVLexdyCkaDJYdTJUnSui1idmqA9wIPVtXPT6y6HbiyWb4S+PBE+a4kwyTnMZ7AcE8z5PpkkkubY75uYp8NazSwJ06SJK1ffwHn/B7gR4D7knyyKfu3wM8Ctya5CngEeDVAVd2f5FbgAcYzW6+uqpUU9AbgRuBM4CPNZ0Mb9pd8Y4MkSVq3uYe4qvqvzL6fDeCyVfa5DrhuRvke4ML2atc9e+IkSVIbfGPDnA0HPZ7ynjhJkrROhrg5G/WX7ImTJEnrZoibs9Gg5+xUSZK0boa4ORsNlli2J06SJK2TIW7Ohj7sV5IktcAQN2ejgY8YkSRJ62eIm7PRoMdTB+yJkyRJ62OImzOfEydJktpgiJuzUX/87tSqWnRVJEnSJmaIm7PhoEcVPH3Q++IkSdKpM8TN2bA/bnInN0iSpPUwxM3ZaNAD8FlxkiRpXQxxc7YS4uyJkyRJ62GIm7PRYNzkyz5mRJIkrYMhbs5GfXviJEnS+hni5uzwcKo9cZIkaR0McXM2HKzMTjXESZKkU2eImzOHUyVJUhsMcXM2sidOkiS1wBA3Z4efE3fAnjhJknTqDHFz5j1xkiSpDYa4OTvysF9DnCRJOnWGuDlbeXeqw6mSJGk9DHFzdkZvicSeOEmStD6GuDlLwqjfM8RJkqR1McQtwGiw5HCqJElal/6iK/D1aDTocd8XvsLNd32OQW+p+eTwcr8XBktLLC3BUkKApaWwlHFP3lLGy0sJmfpeyzZHtp3c/sTbSJKkjcMQtwDfsuUZ/H97/4JPPPKXi67KSZkOimHq94xACbMD4mRIzMSxj3yvhFcmtpkKq8wOqDm8/uiyyd9LGW9wOCRPXENYuaYj2zNdxurbM+sYTQMuTa1b9RhM1nliu+n2apZX2mKy3VbKVo412WYr+x25roljHfX76HMshcPXd+Q4azjm4fqtsryGfTm8zSrHHu9+9J/PxDYcPueRdRyvftPH8D8ykjaYTR/iklwOvBPoAe+pqp9dcJVO6OYf/wf81fIBvnbwEF87eIgDB4unp5YPHCwO1fhTBVUc9fvgoaKg+V0cOsltqmpiPc368TZHzlkcPATFuJzJ9Ry93fR+hw7XZfy7TrQfze+J863sd3Ble47UsybOd/BQrXrsYnzMQ1UAx9SDmfWa2n+i7EgdJn8fey3U0ddxqOb9t0xdmRXwYCIosnoYZPL3zONk6hzHHufw+onzzjrPytfqgXiq/tOBuCk8su/E+Se2Z2L7WYGYo84x3WYnvv6jrnGqrWdf49HnYqoes+o6WcfpOkxue2z51PWtsu9R2x45xfG3n6wbR1bO2u5E51xt+8ljr7b+mLrP3Hf2MVl1v1n1WmWbWe19TP0mlmcc+8TXceL6MKtdgB3nPJPzzn4Gi7KpQ1ySHvDLwD8F9gF/lOT2qnpgsTU7vt5SeNaZg0VXQwtw6NBUEGQiOHJ0GGZi/aGpwLiyPBmAp48zuR2Hj3PsOY9ZZqIOE2XT4ZbJ8qO2m1WnGeWr7AtTgXpiXzi6XWYdY+U/G0eF7Iljr2zPUesm2+L4x54ub6p05LiTdZ5xHJiu28Txp/68jm2fI+c4ct5VrnO6rWYca+VAs9p5Vrs1NTvmeIfrcgiKQ1PXc3T9mKjf9N/ByWs6/Mc9s62nr3FW3Y8+LlP7Tf89ONIas9tm8loOl0/9vZxZvxltN7mOVeqx2jG0sVzzz76D1/+jv7uw82/qEAdcAuytqs8CJLkFuALY0CFOX7+Wlg7//26h9ZC0eR0brGeHvulwyMS68barhdg6NjyuYZ/p809uz3R4XWs9ZtR9IjofHdKP2m61EDz7XMetz/S1TJSdc9aIRdrsIW4r8OjE733AP5jeKMluYDfAC1/4wvnUTJKkDkwPXzalC6mLFmuzP2Jk1t/aYzqdq+qGqtpZVTu3bNkyh2pJkiR1a7OHuH3AuRO/twGPLagukiRJc7PZQ9wfATuSnJfkDGAXcPuC6yRJktS5TX1PXFUdSPK/Ax9l/IiR91XV/QuuliRJUuc2dYgDqKrfBH5z0fWQJEmap80+nCpJkvR1yRAnSZK0CRniJEmSNiFDnCRJ0iZkiJMkSdqEUl9nb9VNsh/4/DoPczbw5y1UR0fYpu2yPdtnm7bL9myfbdqujdKe31xVM1839XUX4tqQZE9V7Vx0PU4ntmm7bM/22abtsj3bZ5u2azO0p8OpkiRJm5AhTpIkaRMyxJ2aGxZdgdOQbdou27N9tmm7bM/22abt2vDt6T1xkiRJm5A9cZIkSZuQIe4kJLk8yUNJ9ia5ZtH12YySvC/JE0k+NVH23CR3JPlM8/2cRdZxM0lybpLfTfJgkvuTvLEpt01PUZJRknuS/EnTpj/TlNum65Ckl+QTSX6j+W17rkOSzyW5L8knk+xpymzTdUjy7CS3Jfl082/qizd6mxri1ihJD/hl4J8B5wM/lOT8xdZqU7oRuHyq7BrgzqraAdzZ/NbaHAD+dVX9PeBS4Orm76VteuqWge+vqu8ELgIuT3Iptul6vRF4cOK37bl+/7iqLpp4DIZtuj7vBH6rqr4D+E7Gf183dJsa4tbuEmBvVX22qp4GbgGuWHCdNp2q+jjwpaniK4CbmuWbgFfOs06bWVU9XlV/3Cw/yfgfna3Ypqesxv6q+TloPoVtesqSbAP+OfCeiWLbs3226SlKchbwfcB7Aarq6ar6SzZ4mxri1m4r8OjE731NmdbvnKp6HMahBHj+guuzKSXZDnwXcDe26bo0Q3+fBJ4A7qgq23R93gG8GTg0UWZ7rk8Bv53k3iS7mzLb9NR9C7Af+NVm2P89SZ7BBm9TQ9zaZUaZU3u1IST5RuC/AD9ZVV9ddH02u6o6WFUXAduAS5JcuOAqbVpJXg48UVX3Lroup5nvqarvZnyLz9VJvm/RFdrk+sB3A9dX1XcBf80GGzqdxRC3dvuAcyd+bwMeW1BdTjdfTPICgOb7iQXXZ1NJMmAc4N5fVR9sim3TFjTDKb/H+D5O2/TUfA/wiiSfY3wbyvcn+Y/YnutSVY81308AH2J8y49teur2AfuaXneA2xiHug3dpoa4tfsjYEeS85KcAewCbl9wnU4XtwNXNstXAh9eYF02lSRhfA/Hg1X18xOrbNNTlGRLkmc3y2cC/wT4NLbpKamqa6tqW1VtZ/zv5seq6oexPU9ZkmckeebKMvADwKewTU9ZVf0Z8GiSb2+KLgMeYIO3qQ/7PQlJ/mfG93b0gPdV1XWLrdHmk+QDwEuBs4EvAm8F/h/gVuCFwCPAq6tqevKDZkjyvcAfAPdx5H6jf8v4vjjb9BQkeRHjG5h7jP+je2tV/bskz8M2XZckLwV+qqpebnueuiTfwrj3DcbDgP+pqq6zTdcnyUWMJ9+cAXwW+DGafwPYoG1qiJMkSdqEHE6VJEnahAxxkiRJm5AhTpIkaRMyxEmSJG1ChjhJkqRNyBAnadNIUkl+buL3TyX56Q7O84Ekf5rkTVPlr0/yumb5R5N8U4vnfGmSl8w6lyTN0l90BSTpJCwDP5jk31fVn3dxgiR/B3hJVX3z9Lqq+pWJnz/K+AGra35zS5J+VR1YZfVLgb8C/tuMc0nSMeyJk7SZHABuAN40vSLJNye5s+lBuzPJC493oCSjJL+a5L7mhdf/uFn128Dzk3wyyT+c2uenm96/VwE7gfc3252Z5OIkv9+8kPyjE6/q+b0k/1eS3wfemOR/SXJ3c87fSXJOku3A64E3rZx35VzNMS5K8ofNtX0oyXMmjv22JPck+e8r9U1yQVP2yWafHafe5JI2KkOcpM3ml4HXJnnWVPkvATdX1YuA9wPvOsFxrgaoqr8P/BBwU5IR8Argf1TVRVX1B7N2rKrbgD3Aa6vqIsbh8heBV1XVxcD7gMk3ujy7qv5RVf0c8F+BS5uXbN8CvLmqPgf8CvALq5z3ZuDfNNd2H+M3nazoV9UlwE9OlL8eeGdTt52M3wsp6TTjcKqkTaWqvprkZuAngL+dWPVi4Aeb5V8D/sMJDvW9jIMXVfXpJJ8Hvg346ilU69uBC4E7xq+zpQc8PrH+1yeWtwG/3vTUnQE8fLwDN2H12VX1+03RTcB/ntjkg833vcD2Zvku4C1JtgEfrKrPnOwFSdr47ImTtBm9A7gKeMZxtjnROwXTWm3Gx7q/6UW7qKr+flX9wMT6v55Y/kXgl5oewP8NGK3z3MvN90Ga/5hX1X9i3KP4t8BHk3z/Os8haQMyxEnadJoXUN/KOMit+G/Armb5tYyHLY/n4812JPk2xi+4fugkqvEk8Mxm+SFgS5IXN8cbJLlglf2eBXyhWb5yleMdVlVfAb48cX/ejwC/P73dpOYF6Z+tqncBtwMvOvHlSNpsDHGSNqufA86e+P0TwI8l+VPGQeeNcPhRHa+fsf+7gV6S+xgPd/5oVS3P2G41NwK/kuSTjIdPXwW8LcmfAJ8EXrLKfj8N/OckfwBMzrD9f4F/MWtCBeOw9/bm2i4C/t0J6vYa4FNN3b6D8T11kk4zqTrRiIMkSZI2GnviJEmSNiFDnCRJ0iZkiJMkSdqEDHGSJEmbkCFOkiRpEzLESZIkbUKGOEmSpE3IECdJkrQJ/f9n3xR6feMf6QAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"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": [
|
|
"## 5. Regresja wielomianowa z wykorzystaniem gotowych bibliotek"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"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": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Pipeline(steps=[('polynomialfeatures', PolynomialFeatures(degree=4)),\n",
|
|
" ('linearregression', LinearRegression())])"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"model = make_pipeline(PolynomialFeatures(degree=degree, include_bias=True), \n",
|
|
" LinearRegression())\n",
|
|
"model.fit(data[[\"Height\"]],Y)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"4"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"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": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"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
|
|
}
|