{ "cells": [ { "cell_type": "markdown", "id": "ab021475", "metadata": {}, "source": [ "## Jupyter notebook Lars Rook & Sem van der Hoeven" ] }, { "cell_type": "markdown", "id": "ffa039c8", "metadata": {}, "source": [ "# Week 4" ] }, { "cell_type": "markdown", "id": "239c1156", "metadata": {}, "source": [ "## 4.1: ZTDL 1 - First Deep Learning Model\n", "We hebben bij elk code blok comments gezet die uitleggen wat de code doet." ] }, { "cell_type": "code", "execution_count": 1, "id": "155b55bd", "metadata": {}, "outputs": [], "source": [ "import numpy as np # import the numpy library and assign the name np to it\n", "\n", "# magic function that sets the backend of matplotlib to the inline backend\n", "# source: https://stackoverflow.com/questions/43027980/purpose-of-matplotlib-inline\n", "%matplotlib inline \n", "import matplotlib.pyplot as plt # import the matplotlib.pyplot and assign the name plt to it" ] }, { "cell_type": "code", "execution_count": 2, "id": "feeaffc8", "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_circles # import the make_circles module from the sklearn.datasets module" ] }, { "cell_type": "code", "execution_count": 3, "id": "c1db0180", "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "roept de make_circles functie aan van de sklearn.datasets module\n", "de make_circles functie maakt een cirkel met een kleinere cirkel hier binnen in.\n", "- de n_samples staat voor hoeveel points gegenereerd moeten worden.\n", "- de noise variabele staat voor hoeveel noise eraan toegeoegd moet worden\n", "- de factor staat voor de schaling tussen de binnenste en buitenste cirkel\n", "- de random_state variabele wordt gebruikt voor het genereren van een random nummer die gebruikt wordt voor het shufflen van de dataset en de noise.\n", "\"\"\"\n", "\n", "X, y = make_circles(n_samples=1000,\n", " noise=0.1,\n", " factor=0.2,\n", " random_state=0)" ] }, { "cell_type": "code", "execution_count": 4, "id": "46267e93", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.24265541, 0.0383196 ],\n", " [ 0.04433036, -0.05667334],\n", " [-0.78677748, -0.75718576],\n", " ...,\n", " [ 0.0161236 , -0.00548034],\n", " [ 0.20624715, 0.09769677],\n", " [-0.19186631, 0.08916672]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# X bevat de gegenereerde samples van de make_circles methode.\n", "\n", "X" ] }, { "cell_type": "code", "execution_count": 5, "id": "34c5864c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 2)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# aangezien x de array of shape [n_samples, 2] bevat, geeft dit de gegeven aantal samples en 2.\n", "X.shape" ] }, { "cell_type": "code", "execution_count": 6, "id": "fa762402", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Blue circles and Red crosses')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "Hier wordt met matplotlib een grafiek van de samples getekend.\n", "allereerst wordt er een figuur aangemaakt, daarna worden de waarden die zijn gegenereerd getekend op deze figuur.\n", "Hierna worden de limits van de x en y assen gezet.\n", "Daarna wordt de legenda aangemaakt, hierbij zijn de bolletjes een 0 en de kruisjes een 1.\n", "Als laatst wordt de titel van de figuur aangemaakt.\n", "\"\"\"\n", "\n", "plt.figure(figsize=(5, 5))\n", "plt.plot(X[y==0, 0], X[y==0, 1], 'ob', alpha=0.5)\n", "plt.plot(X[y==1, 0], X[y==1, 1], 'xr', alpha=0.5)\n", "plt.xlim(-1.5, 1.5)\n", "plt.ylim(-1.5, 1.5)\n", "plt.legend(['0', '1'])\n", "plt.title(\"Blue circles and Red crosses\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "9efb32c3", "metadata": {}, "outputs": [], "source": [ "# importeer modules van tensorflow\n", "from tensorflow.keras.models import Sequential\n", "from tensorflow.keras.layers import Dense\n", "from tensorflow.keras.optimizers import SGD" ] }, { "cell_type": "code", "execution_count": 8, "id": "43c0a1d3", "metadata": {}, "outputs": [], "source": [ "# Maak een sequentieel model aan\n", "model = Sequential()" ] }, { "cell_type": "code", "execution_count": 9, "id": "585aa0e2", "metadata": {}, "outputs": [], "source": [ "# voeg een laag aan het model toe met 4 output neurons en 2 input neurons. Deze laag gebruikt de hyperbolic tangent activation functie.\n", "model.add(Dense(4, input_shape=(2,), activation='tanh'))" ] }, { "cell_type": "code", "execution_count": 10, "id": "84e68325", "metadata": {}, "outputs": [], "source": [ "# voeg nog een laag toe met 1 output neuron. Deze laag gebruikt de Sigmoid activation function, sigmoid(x) = 1 / (1 + exp(-x))\n", "model.add(Dense(1, activation='sigmoid'))" ] }, { "cell_type": "code", "execution_count": 11, "id": "fef8e12a", "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "compile configureert het model voor het trainen.\n", "- als optimizer wordt de gradient descent optimizer gebruikt met een learning rate van 0.5\n", "- als loss wordt binary cross entropy gebruikt. \n", "- bij de metrics parameter wordt een lijst van attributen gezet waarop het model wordt geƫvalueerd. In dit geval is het alleen de nauwkeurigheid\n", "\"\"\" \n", "model.compile(SGD(learning_rate=0.5), 'binary_crossentropy', metrics=['accuracy'])" ] }, { "cell_type": "code", "execution_count": 12, "id": "0e1bcf7b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.6674 - accuracy: 0.6450\n", "Epoch 2/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.5857 - accuracy: 0.7630\n", "Epoch 3/20\n", "32/32 [==============================] - 0s 516us/step - loss: 0.4744 - accuracy: 0.8540\n", "Epoch 4/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.3558 - accuracy: 0.9190\n", "Epoch 5/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.2594 - accuracy: 0.9960\n", "Epoch 6/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.1930 - accuracy: 1.0000\n", "Epoch 7/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.1507 - accuracy: 1.0000\n", "Epoch 8/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.1224 - accuracy: 1.0000\n", "Epoch 9/20\n", "32/32 [==============================] - 0s 578us/step - loss: 0.1030 - accuracy: 1.0000\n", "Epoch 10/20\n", "32/32 [==============================] - 0s 580us/step - loss: 0.0887 - accuracy: 1.0000\n", "Epoch 11/20\n", "32/32 [==============================] - 0s 547us/step - loss: 0.0778 - accuracy: 1.0000\n", "Epoch 12/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.0691 - accuracy: 1.0000\n", "Epoch 13/20\n", "32/32 [==============================] - 0s 483us/step - loss: 0.0622 - accuracy: 1.0000\n", "Epoch 14/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.0566 - accuracy: 1.0000\n", "Epoch 15/20\n", "32/32 [==============================] - 0s 579us/step - loss: 0.0519 - accuracy: 1.0000\n", "Epoch 16/20\n", "32/32 [==============================] - 0s 515us/step - loss: 0.0480 - accuracy: 1.0000\n", "Epoch 17/20\n", "32/32 [==============================] - 0s 547us/step - loss: 0.0446 - accuracy: 1.0000\n", "Epoch 18/20\n", "32/32 [==============================] - 0s 515us/step - loss: 0.0416 - accuracy: 1.0000\n", "Epoch 19/20\n", "32/32 [==============================] - 0s 483us/step - loss: 0.0390 - accuracy: 1.0000\n", "Epoch 20/20\n", "32/32 [==============================] - 0s 515us/step - loss: 0.0368 - accuracy: 1.0000\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", "fit traint het model voor het aantal gegeven epochs.\n", "- X staat voor de input samples.\n", "- y staat voor de target data (tensors)\n", "- epochs staat voor hoe vaak het model getrained wordt.\n", "\"\"\"\n", "model.fit(X, y, epochs=20)" ] }, { "cell_type": "code", "execution_count": 13, "id": "20f9bb50", "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "met de linspace functies worden nummers gegenereerd over een gelijk interval.\n", "met de meshgrid functies worden coordinate matrices gemaakt van coordinate vectors.\n", "met de c_ functie wordt een matrix gemaakt van de genenereerde arrays.\n", "met de predict functie worden output predictions gegenereerd voor de input samples.\n", "met de reshape functie wordt de shape aangepast naar die van de meshgrid.\n", "\"\"\"\n", "hticks = np.linspace(-1.5, 1.5, 101)\n", "vticks = np.linspace(-1.5, 1.5, 101)\n", "aa, bb = np.meshgrid(hticks, vticks)\n", "ab = np.c_[aa.ravel(), bb.ravel()]\n", "c = model.predict(ab)\n", "cc = c.reshape(aa.shape)" ] }, { "cell_type": "code", "execution_count": 14, "id": "a2e4f082", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-1.5 , -1.5 ],\n", " [-1.47, -1.5 ],\n", " [-1.44, -1.5 ],\n", " ...,\n", " [ 1.44, 1.5 ],\n", " [ 1.47, 1.5 ],\n", " [ 1.5 , 1.5 ]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ab" ] }, { "cell_type": "code", "execution_count": 15, "id": "1e5b54db", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Blue circles and Red crosses')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "Hier wordt met matplotlib een grafiek van de samples getekend.\n", "allereerst wordt er een figuur aangemaakt\n", "Daarna wordt de contour getekend aan de hand van de output van het model.\n", "Daarna worden de waarden die zijn gegenereerd getekend op deze figuur.\n", "Hierna worden de limits van de x en y assen gezet.\n", "Daarna wordt de legenda aangemaakt, hierbij zijn de bolletjes een 0 en de kruisjes een 1.\n", "Als laatst wordt de titel van de figuur aangemaakt.\n", "\"\"\"\n", "plt.figure(figsize=(5, 5))\n", "plt.contourf(aa, bb, cc, cmap='bwr', alpha=0.2)\n", "plt.plot(X[y==0, 0], X[y==0, 1], 'ob', alpha=0.5)\n", "plt.plot(X[y==1, 0], X[y==1, 1], 'xr', alpha=0.5)\n", "plt.xlim(-1.5, 1.5)\n", "plt.ylim(-1.5, 1.5)\n", "plt.legend(['0', '1'])\n", "plt.title(\"Blue circles and Red crosses\")" ] }, { "cell_type": "markdown", "id": "9267f151", "metadata": {}, "source": [ "## 4.2 : ZTDL 2 - Data" ] }, { "cell_type": "markdown", "id": "20cea62e", "metadata": {}, "source": [ "a. we hebben allebei het notebook bestudeerd.\n", "b. we hebben een spreadsheet gevonden over heart attack analysis and predictions.\n", "c. Hieronder zijn een aantal technieken en plots te zien die wij op de data hebben uitgevoerd. Om het beter te begrijpen hebben wij allebei samen de technieken en plots uitgevoerd." ] }, { "cell_type": "markdown", "id": "eaab705e", "metadata": {}, "source": [ "### Standaard info\n", "We hebben eerst de standaard gegevens van de dataset verkend." ] }, { "cell_type": "code", "execution_count": 16, "id": "4deee696", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 17, "id": "6b792675", "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('../data/heart.csv')" ] }, { "cell_type": "code", "execution_count": 18, "id": "81faf37f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "pandas.core.frame.DataFrame" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(df)" ] }, { "cell_type": "code", "execution_count": 19, "id": "6417b5c6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agesexcptrtbpscholfbsrestecgthalachhexngoldpeakslpcaathalloutput
063131452331015002.30011
137121302500118703.50021
241011302040017201.42021
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" ], "text/plain": [ " age sex cp trtbps chol fbs restecg thalachh exng oldpeak slp \\\n", "0 63 1 3 145 233 1 0 150 0 2.3 0 \n", "1 37 1 2 130 250 0 1 187 0 3.5 0 \n", "2 41 0 1 130 204 0 0 172 0 1.4 2 \n", "3 56 1 1 120 236 0 1 178 0 0.8 2 \n", "4 57 0 0 120 354 0 1 163 1 0.6 2 \n", "\n", " caa thall output \n", "0 0 1 1 \n", "1 0 2 1 \n", "2 0 2 1 \n", "3 0 2 1 \n", "4 0 2 1 " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 20, "id": "202237c5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 303 entries, 0 to 302\n", "Data columns (total 14 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 age 303 non-null int64 \n", " 1 sex 303 non-null int64 \n", " 2 cp 303 non-null int64 \n", " 3 trtbps 303 non-null int64 \n", " 4 chol 303 non-null int64 \n", " 5 fbs 303 non-null int64 \n", " 6 restecg 303 non-null int64 \n", " 7 thalachh 303 non-null int64 \n", " 8 exng 303 non-null int64 \n", " 9 oldpeak 303 non-null float64\n", " 10 slp 303 non-null int64 \n", " 11 caa 303 non-null int64 \n", " 12 thall 303 non-null int64 \n", " 13 output 303 non-null int64 \n", "dtypes: float64(1), int64(13)\n", "memory usage: 33.3 KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 21, "id": "9a94370a", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agesexcptrtbpscholfbsrestecgthalachhexngoldpeakslpcaathalloutput
count303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000303.000000
mean54.3663370.6831680.966997131.623762246.2640260.1485150.528053149.6468650.3267331.0396041.3993400.7293732.3135310.544554
std9.0821010.4660111.03205217.53814351.8307510.3561980.52586022.9051610.4697941.1610750.6162261.0226060.6122770.498835
min29.0000000.0000000.00000094.000000126.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.000000
25%47.5000000.0000000.000000120.000000211.0000000.0000000.000000133.5000000.0000000.0000001.0000000.0000002.0000000.000000
50%55.0000001.0000001.000000130.000000240.0000000.0000001.000000153.0000000.0000000.8000001.0000000.0000002.0000001.000000
75%61.0000001.0000002.000000140.000000274.5000000.0000001.000000166.0000001.0000001.6000002.0000001.0000003.0000001.000000
max77.0000001.0000003.000000200.000000564.0000001.0000002.000000202.0000001.0000006.2000002.0000004.0000003.0000001.000000
\n", "
" ], "text/plain": [ " age sex cp trtbps chol fbs \\\n", "count 303.000000 303.000000 303.000000 303.000000 303.000000 303.000000 \n", "mean 54.366337 0.683168 0.966997 131.623762 246.264026 0.148515 \n", "std 9.082101 0.466011 1.032052 17.538143 51.830751 0.356198 \n", "min 29.000000 0.000000 0.000000 94.000000 126.000000 0.000000 \n", "25% 47.500000 0.000000 0.000000 120.000000 211.000000 0.000000 \n", "50% 55.000000 1.000000 1.000000 130.000000 240.000000 0.000000 \n", "75% 61.000000 1.000000 2.000000 140.000000 274.500000 0.000000 \n", "max 77.000000 1.000000 3.000000 200.000000 564.000000 1.000000 \n", "\n", " restecg thalachh exng oldpeak slp caa \\\n", "count 303.000000 303.000000 303.000000 303.000000 303.000000 303.000000 \n", "mean 0.528053 149.646865 0.326733 1.039604 1.399340 0.729373 \n", "std 0.525860 22.905161 0.469794 1.161075 0.616226 1.022606 \n", "min 0.000000 71.000000 0.000000 0.000000 0.000000 0.000000 \n", "25% 0.000000 133.500000 0.000000 0.000000 1.000000 0.000000 \n", "50% 1.000000 153.000000 0.000000 0.800000 1.000000 0.000000 \n", "75% 1.000000 166.000000 1.000000 1.600000 2.000000 1.000000 \n", "max 2.000000 202.000000 1.000000 6.200000 2.000000 4.000000 \n", "\n", " thall output \n", "count 303.000000 303.000000 \n", "mean 2.313531 0.544554 \n", "std 0.612277 0.498835 \n", "min 0.000000 0.000000 \n", "25% 2.000000 0.000000 \n", "50% 2.000000 1.000000 \n", "75% 3.000000 1.000000 \n", "max 3.000000 1.000000 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "markdown", "id": "345b68bd", "metadata": {}, "source": [ "### indexing\n", "We zullen nu verschillende items in de dataset indexeren" ] }, { "cell_type": "code", "execution_count": 22, "id": "ce906842", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "age 54.0\n", "sex 1.0\n", "cp 0.0\n", "trtbps 140.0\n", "chol 239.0\n", "fbs 0.0\n", "restecg 1.0\n", "thalachh 160.0\n", "exng 0.0\n", "oldpeak 1.2\n", "slp 2.0\n", "caa 0.0\n", "thall 2.0\n", "output 1.0\n", "Name: 10, dtype: float64" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# het 10de element ophalen uit de dataset\n", "df.iloc[10]" ] }, { "cell_type": "code", "execution_count": 23, "id": "5f8d9afe", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agesexoldpeak
06312.3
13713.5
24101.4
35610.8
45700.6
55710.4
65601.3
74410.0
85210.5
\n", "
" ], "text/plain": [ " age sex oldpeak\n", "0 63 1 2.3\n", "1 37 1 3.5\n", "2 41 0 1.4\n", "3 56 1 0.8\n", "4 57 0 0.6\n", "5 57 1 0.4\n", "6 56 0 1.3\n", "7 44 1 0.0\n", "8 52 1 0.5" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# de age, sex en oldpeak van de eerste 9 elementen ophalen\n", "df.loc[0:8,['age','sex','oldpeak']]" ] }, { "cell_type": "code", "execution_count": 24, "id": "ce4a5f85", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 1\n", "1 1\n", "2 0\n", "3 1\n", "4 0\n", "Name: sex, dtype: int64" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# de head opvragen van de elementen met het sex attribuut\n", "df['sex'].head()" ] }, { "cell_type": "code", "execution_count": 25, "id": "d129b322", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 0], dtype=int64)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# unieke element van sex ophalen\n", "df['sex'].unique()" ] }, { "cell_type": "code", "execution_count": 26, "id": "37d36915", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agesexcptrtbpscholfbsrestecgthalachhexngoldpeakslpcaathalloutput
7229111302040020200.02021
5834131181820017400.02021
12534011182100119200.72021
23935101262820015610.02030
6535001381830118201.42021
.............................................
6071021102651013000.02121
15171001121490112501.61021
12974011202690012110.22121
14476021401970211601.11021
23877101253040016210.02320
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303 rows Ɨ 14 columns

\n", "
" ], "text/plain": [ " age sex cp trtbps chol fbs restecg thalachh exng oldpeak slp \\\n", "72 29 1 1 130 204 0 0 202 0 0.0 2 \n", "58 34 1 3 118 182 0 0 174 0 0.0 2 \n", "125 34 0 1 118 210 0 1 192 0 0.7 2 \n", "239 35 1 0 126 282 0 0 156 1 0.0 2 \n", "65 35 0 0 138 183 0 1 182 0 1.4 2 \n", ".. ... ... .. ... ... ... ... ... ... ... ... \n", "60 71 0 2 110 265 1 0 130 0 0.0 2 \n", "151 71 0 0 112 149 0 1 125 0 1.6 1 \n", "129 74 0 1 120 269 0 0 121 1 0.2 2 \n", "144 76 0 2 140 197 0 2 116 0 1.1 1 \n", "238 77 1 0 125 304 0 0 162 1 0.0 2 \n", "\n", " caa thall output \n", "72 0 2 1 \n", "58 0 2 1 \n", "125 0 2 1 \n", "239 0 3 0 \n", "65 0 2 1 \n", ".. ... ... ... \n", "60 1 2 1 \n", "151 0 2 1 \n", "129 1 2 1 \n", "144 0 2 1 \n", "238 3 2 0 \n", "\n", "[303 rows x 14 columns]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# sorteer de values van attribuut age op optellende manier\n", "df.sort_values('age', ascending = True)" ] }, { "cell_type": "code", "execution_count": 27, "id": "c379d785", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dfplot = df[['age','chol']]\n", "dfplot.plot(title='age chol relation')" ] }, { "cell_type": "code", "execution_count": 28, "id": "601da936", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True 207\n", "False 96\n", "Name: sex, dtype: int64" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "amountMale = df['sex'] > 0 # assuming male = 1\n", "piecounts = amountMale.value_counts()\n", "piecounts" ] }, { "cell_type": "code", "execution_count": 29, "id": "a128aabd", "metadata": {}, "outputs": [ { "data": { "image/png": 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LLvcMGGm6A4P3d7of0Xt0pP2fK/9YvjTB8mIFpRcd7OnrJ3/3llzgMqebyARZH9LAeGBw3vhZE5XMd80aOh5rMXx5CW0MVF7icQHnnzvRM3xQniF7VCTuctkhb+9JSEOZkVsQ8wzad7LTjYjeo2OR/22oKtuWYPkhBV72O7kko4/ESoXBwMlON9HXZXVI+4tL9wEOyBt/5D7KcMuNoCxhRsOfGT7/XxKpLS/x5APfvHyGdz+/R+WnuLVM9F2nG+jrsjqkgWOBiHfoWNlIKbtc0lBVFk+w9oSx/Y3BpSNcMha9Z46nMiAzpvZC1oa0v7i0ADjMO2Ss6cotlAM1s4QZDr286ubTXkmktrzEMww44YoZ3oNchnKluLVM5QIucLqJvixrQxo4CHDljpk6welGRO/QphlVbu8lidTaU+7OPma0a9CYfobM+tk7MuSxF7I5pI9BqSbPoFGyzWSW0NH2O1beeMqKBMsPcCmmXDDJOyOlTWWHcVQGDnG6ib4qK0PaX1w6FBidO3pqf8OTU+B0PyL1dCy61fDl/SqR2vISjwf41ncme0b2z1WDU9xatjjT6Qb6qqwMaawVhmbOvhPlhmGW0GbsFw1VZW0Jlh8+IFftc/xYmXKXRKc43UBflXUhba8wPAbD3eguGlbidD8i9cxIx0eGN/cfidSWl3gCwFlXzPDu73Or3BS3lk3GUBmY6HQTfVHWhTQwBijKGTVpoHK5s/1cuoyntUYZxsUNVWU6wYecPGGwMfDgYYacMJJ8cjW9B7IxpKcAcd+wYtlKMQvoSPtTK286dUEiteUlnn2BYy+d5p1iKJWNPxupNtvpBvqirPpG9BeXKqAU2OrpN1ymVWU4bcbDyu25PJFae8rduWXF7sH7BIzRKW4tW02lMjDS6Sb6mqwKaWAo0M/df6RPTl/JfDracfPKG2evTbB8stfFgd+c6JEDiFPrRKcb6GuyLaT3B8jZ9yAZ6shwOhbZYPjyrkmktrzE4wPO//5U76hCn+qf4tay3ZFON9DXZFtIlwIt3oH7SkhnOG3Gf9xQVdaRYPnRQ/PV8FlBl1xFp94RTjfQ12RNSPuLS/1ACcpoduX3H+V0PyJ1zEj726tuOePhRGrLSzz9gdN+WOo9wOtSsvdx6o2kMiBj/j2QNSENjAWUd2jxQOVyyw9jhtJam8rlTuhILNupU4cZAw8cZMj2AL1HrqZ7IJtCejwQ8w4eLXeXM5iOhB5ZeePs9xKpLS/x7Accfsk071Q5lKdXybh0D2RTSB8INLuLhu7jdCMiNXQ8FjJ8eT9KpLa8xGMA5555gHvY0HxDvid61+FON9CXZEVI+4tLc4CRQJs7f4BcSWcoHYtc21BVtjnB8ul+DyWnjvfI/hy9byyVgYDTTfQVWRHSwAhAG/6AT/n8A5xuRiSfGQ2vMnz+GxOpLS/x+IHzLp3mHZ3vVYUpbk3snuzjkaBsCelRgPINHzdSxh4zlb68oaoslmDx10cF1NDD9nXJXtHOkRu1CcqWkD4ACHn6DZez1jKQGWmfs+rm059NpLa8xDMYOPmKGd4D3YZyp7g10TkJ6QRlfEjb+3WUAM1GXpEMdWQYrc24cnsTmnJn789x5tf2dQ0sGeg6IMWtia7JcEeCMj6kgSIgD4i4cgokpDOMjrT/Y+Ufyz9NsHx/QzHjwoM901PalEjEBCoDMvaYgGwI6YGACWD48mRTpQyi49Emw5f380Rqy0s8buCC8w/yjBjoN2TYy3mFgEx9TEA2hPQAwHDl9/crtyfH6WZE8uhY9DcNVWVNCZYfEvAxuqxYjsRKI0GnG+gLsiGkhwNxz4B9ZKgjg5jRjmWGz397IrXlJZ584JzLZ3jH5npUXopbE4mTK+kEZENIjwLa3YWDJaQziTK+31BVZiZYXbb/AGPw9OGuqSntSfTUHoW0UupCpVS9UiqilNqW5J72ilKqUimV6FFtCcmGkB4JhIy8on5ONyKSwwyHXlh106mvJ1JbXuIZDnzj8uneSS5DuVLcmuiZfXv6AKXUcOAuYD5wNHBssptKNxk9T9RfXOoF+gOrDG+uvMzNANqMR5Xb+4NEau0pd+d8fT/X4NH9DNlDPP3syZV0MeAC7tNaz01yP2kpo0Ma6Ic1s0MrT46EdAbQ0Y6/rPrTWSsTLJ/gNjj4/IO8abOZ/4vLYtwwL8zHm0waOzSD/IpD93FROcvHAYOsC/2WsOZ3b4Z5e22cxevitETg9W/7mRXs/sf13iURvvt052cdrPtpPkPzrRfQN88P86eFEaImXDjZw3XH+DB2WpFbuybGsQ+E+PDSfEYVpeRFd4+upJVS9wLftv/6qr16+D6t9XeUUhcDV2CtiWgFngZ+prXeutPjNXAd0Aj8EGvm1xvAd+2SvwLfAJqBv2qtb9jpsYOAa4GjsF6dbwHm2M/xeTd9u4Gf2b2Pth/7MPBrrXW3B1NkekjnARrAcPskpPs4HYtsMXx5v02ktrzE4wUuuPBgz8iiHJU2Uy+3tmumDnNx2XQvg/yKVU0mVfMizLy7jQ/sMNzSrrnn3QhThrk4bj83T36S6Gp3KCt2s+Ai/5fepzWc/HA7Y/qpLwL6tRUxKl4Nc9uJORR4FZc8207JQIPvTLa2Wo+bmktrOvjV13ypCmiAnk6FvAZ4B/g/4HJgMbBJKVUF/NR+/8+w9uq5FpiglDpUax3f6XNcAHwIXAYMAf4M3A8UAM9jDaWcCVQppT7QWj9nP64/0AH8EtiENSHhp8A8pdS4bsL2QeBk4AasYZrx9tcSBE7v7ovOhpAGQHm8/q4KRfrTZuznK6tODSVYfsRAv9rnuDHpNeXumxM9fHOi50vvmzHCxbjb2nj84yg/PdTHqIBi6y+sfZ9e+SzWo5AelGcwKO/LoTpnZYwt7ZrfzfJ98b7n62McN8bN96daofzmyhjPL4t9EdK3L4rSEYOrDk3p+Rg92glPa71cKfWJ/dePtdYLlVJBrGD+ndb699trlVKfAnOxwvGpnT5NGDhFax2z6yYAPwZ+q7W+1n7fG8CpWGH9nP3cdcAX2+AqpVzAPGAVcALwn931rJQ6HDgb+LbW+n773a8opbYCDyqlJmutl3T1dWf6jcM87K9RubxyJd2HmZGOD1bdcuY9idSWl3gCwJlXzvDu73OrtJ8bP8BvDTF47Nuayd4E7L73onhdcM6EHddkkTjk7vS7Is+j6LB/F2xoNfnfNzq47cQcPK6ULgr0UhnY24un47B+xv+llHJvfwNqsYYtdj0F5uXtAW1bav/54vZ32B9fxi5j5kqpS5VS7ymlWoEYVkCDNcTSmeOBCPDELv29ZH+821NqsiGkwXAZuNxp/8Mqdk9rjTKMnhyJdcpBQ4yBk4YaB6esqb0UNzWRuKZ+S5xLnu1gaL7inAme7h/YQ+1RzWMfRzlpfzcD/Dt+3EtHunjlsxiL18VZttXksY+jzBxh/Za46uUwZcUejhrdKy+093Zf6cH2n8uA6C5vhViL2XbWuMvfI128/4vMUEpdCdwOvAKcBswAtr9K6ypbBgNerHHynXvbaH+826nBSfu/oJS6SGv9j53+7gJ+o7X+XbKeYw/0B2KuvH65skVp36Uj7U+s+tOZbyVSW17iGQUc/YNp3ilGGv9PL727jXfWWdO8x/Y3eO1bfgbnJf+a6amlMZrD8O1JX/4FcPaBbp5a6mbqXW0AHBV08cNSL282xHj20yhLL89Pei+d2Nsn2mL/+XW+GrQ7f3xvnQO8qrX+6fZ3KKUSOVB3C9ZYdmen0azt7hMk81flMUqp04GLsH47/BN4M4mff0/0A6LK7c30sfeMpc14h+HzX5FI7fYjscpL3ENGFhrB1Ha2dx44NZfmsOazRs1NC8Ic90CIuRfmEUzyTbr73oswyK84sfjLPwIuQ/HomX7WtphE4zCqyCAa11z+XAfXHpXDkHyDWxeGubU2QmsEThvv5k/fyCHXk/Tfe3s73PEy1gyufbXWLyehn874sYZPdvbd3RXu4gXgF0BAa/3qnjxx0sJLa32uUups4AMgBHxTaz0vWZ9/DxUBUWW4UjKs0758EU0LHyeyYTkohaf/CIpmfZfcUZMAiGxayba5DxJZW4cZbsNdOIT8g46lYNopKKPzdRVmOMSW5/+PyIblxNu2guHG038EBVNPJv/Ao75U2/zWkzQvehptxsk/6FiKjvgWSu34csNr69jw798w/MLbcAcG7/pUaU9Hwzeu/NOZ6xMsn+xzccBZB3rSZspdZ8bb0+1KR8IJxW6Cf26ham6YO0/KTdpzrGsxeeWzOFfO8OI2dh+uwwt2fK/8eWGEHDdcOt3Dy8tj/Pb1MP/9bh4jChTfeDDE9XPCXHN00kcN9+pekX0z8Qbgr0qpEqwLww6s8eTjgLu11gktfOrGC8AvlFK/At7CWkhzRgL9vaGUehh4XCl1i/1YE2tmx4nAL7TWXe7imMzhjmKsu59PYE0xuUAp9a7WOtG78angBeIYrqTfom5Z8jxbX76TgiknETj0HNAmkY0r0NEwALGWLWx4+Je4CgbQ7+iLMfyFdKx8j8bX/0k81ES/WZ3/EtZmDAwXhTPPtII1HqVt6Ry2PHszZqiJwumzAWhf+R6Nb95H/+MuxfDmsuXFv+LpP5L8icfanyfO1pduJ7D98/QxZiyyzvD5r0uktrzEkwNccMk0b7DQp/rU6tKiHMXY/gbLtia6yj0xD74fJa7h25O7H+te02xy7Zwwr1yQh6EULyyLcdx+biYPtX6ZfHeyl/vfj3DN0UltEZKQQVrrX9mzPi633zSwGngVqN/bz2/7PdZF34+xxqDfxJpT/VkCjz0fuBK4EPg11gyTBqyblRu6e3AyhwGeAa7QWr+irLHAnwCLsE7pdooL0Mm+ko41baDx1b/Tb9aFFE4/5Yv3547ZsTVE+/JFmO3NDD3/Rjz9R1gfHzWJWOM62j58rcuQduUWMqj8Z196X+5+04lu/ZzW91/+IqQ7PnuHnOBkCiYfb/199Qe0f/bOFyHd8u5z6FiEwhmnJeXr7nVm/EcNVWXhBKuPGV6ghh05qu8dibWh1WTpZpPzJib3xuH970c5aIjxRdB25X9e6OC8iR6mj9hR2xbZsQVFa0Sjk7ojxRfi3ZfsoLV+BfjKywKt9QPAA908dnePuxe4dzfvn7XL39uBS+23nald6iqByl3eZwK32m89lsyQnqG1brab0sDNSqnqRB9srwb6nf1FJosBaJIc0q3vvwxKUXDwCZ3W6HjUamCX6dlGTh56D7/bXbmFxOM7Zg/peBTDvWPuq/LkoFuteyfxtkaa5jzIoFN/jXL1vSF5M9K+aNUtZzyWSG15iWcAMHvcQCPqNkjpxN69deq/Q0wZ6uKgIQaFPsWnW0z+tDCC24Cf7jQn+fn6KG1R+GCDlWFvNsTZHNLkeeCE4h1h7v59M9+e5OEfp3x5mGTxujgfbjS5+es+uvPishhzVsWpu2LHPbxjx7i4tTbC7YsiDC9Q/OWtCN9J4Ip8D/QopLNRMn96c5VSfwJGaK2PV0odABxC8l5u7ImUXEl3rPkYT/+RtH3yX5rmP0KsaSPuwBAKp59CwZSTAMgb9zWa5j3M1pfvoOioC3HlFtKxcgltH71O4LBvJvQ8WmvQJma4jVDdfNpXLGbACT/84uO+4SVsefF2wuuXYfj8hJbO++IXR+Pr95C733RyRvXNo+SUJ2dwsKKmqKGqbFsC5acDvLYivvzQfcz5M0a4Dk1td3tu5ggXj34c5eYFJpE47BMwmDXKxS8P93/ppuGlNR2sbNrxy7zyTesFxaiAouF/doRlXFtvu7pvSRS3QbdX5+GY5ornO7jxOB9FOTsuCk8o9nD9MSbXzwkTimpmj/PwmyO6D/w9kNwxngyk9vSq7iufSKnnsWZ0/FprPcmesP2u1jqhs8xScSXtLy69HnD5Rh7YL1B6+sXJ+ryf//0HxFu3oFweio74Fu5+wwgtnUvrkufpd8zFFE6zhkCijWvZ9MS1RLdsn/OuCHztXIoSDOnmd56h8ZW/WX8x3PQ/5mIKppR98XFtxtlcfSOhOmufGd++BzH49P8lsr6eTU9ey/CL78SV16eGZ3f1eENV2ZldFZSXeDxY81e3Au1eF8YdZTkXDcozhvdKh2JvTaOy6R2nm0hnCV1JK6UqgauxbgjeCnwNa/7f1VrrfyqlLgBmYc0F1Eqp/ey7rnGl1DnA97EOnszFurL+s9b6vgSedxLWGvfDsQbrFwMVWus5CX59LkBjxpP721qb6Eg7A2f/GH+JddGWO2oSsaaNNC18jIKp5ZjtzWz6z/Uor4+Bs3+JK7eAjpXv0zT/3yiXh8DMbm8Mkzf+CHzDx2G2NxNaVsvWV/4GhkHBZOtqWRkuBs2uINayBcw47sBgdDxmXb0fcQGuvH40v/00LW9XY0Y78O9/iHUT05OSK6JUOCNYUfO9hqqyuzsrqK6LRstLPA8A3wNWROKYtyyIPPG7o3yXeF0qrYc+BCBX0t3q6TDAY0ANMBtro5N7lFLXYw2mL8e6g+kDHlJKzQSagDHA48B59uOeAe5WSnW53aRSagrWZiT9gYuxXtJuwVr3nujm7S5Am9GOaOJfYveM3AIAcoKTv/T+3NEHY7ZtI966lebaJ4g1bWDwWdeQV3IYOfseRNHh51NYehrb5jxIPNT9qU8ufwDfsGJyx0xlwNcvI+/Ao2h8/R50/Mt7ObgLBnwxe6P57adRbi/5B59I+4p32WaPSw+/6HYi6+ppXvBocv4Res+twYqacd3UzAEWYm2sw0ebzK3VdbGalHcmkkHGpLvR05C+UWv9f/ak8Qux/oEvwVqf/i2sq5k41pLJh4ArtdbXa61v11q/BLyGNZXlXr56l/Qrz4W1Nv5orfXj9m5Up2JNeUloJzSsqThKJzmkvQNHdfJs1tCRUgaRTQ14+g3HlfPlBVW+YfuDGSPWuK7nzzt0LDrSTrxt224/HmveTNP8f9P/65ehlEH7infIDR6Md8gYXP4AeROPpX3F4h4/r8P8wCPBippOL/+r66Ia685+C/Yy4/vfi76/dHP8/d5pUeyFRM+ozFo9Dennt/+H1roRa/35QntWx35Yu0Ftv7O1HnArpYqVUg8rpT5nx7r179HFpiRKqVzgSKwrd3OnTUkU1tr5bjclsYUBlxkORbqt7IHc/Q8B+Ergta9YjKtgIK78frjy+hFtXEu8o/XLDa2tA8BV0PPTvMKrP0R5c3Hl7X67g8ZX7yLvwFnWLwKbGd2xg6KOtGPv3NrXTAL+2FVBdV20BWtsuj/2MN4f5oRrmsN6d0uFRfrY2n1JdutpSO9uE5Lt7/utHdbblyS9APwNa9nmJKACa2x5OnAP1rBIZ/pjDVX8lq9umnIF0E/tvKyucx2AYXa0hpN1gxQgd8w0fPsexNYXb6Pl3edoX7GYLS/8hY6Gdyk6/HwACiafgI5F2Pjv39L2yRzaG5aw7b8P0PzWf8jd/xDchYO++Hwr/1jO5ud2TKFsWfI8m2v+TOtHr9Ox6gNCdfPZ9PQNhOrmETjkbJTrq3fs2z97h441H9PviG/t6HPUZDoaltCyuIbQpwtoWfwsOcG03XOoOz8MVtSUdVVQXRetxxpa2wegsYPIXe9EnoibWsY901OUyqYWp5tId8mcgrd9bGn7zlDzsYZARgGH73zUjX1V3JVtWDcUbsPakPsr7Ani3ekAXGhTY8YjuNxJuZGklGLwab+h8c372Db3IcyOVjwDRjLw5KvIO2AWAL4R4xh67g1sm/8wja/ehRkJ4S4cQuCwcyicfuouX4xpvdk8A4OE6hey7fV7iHe04MotxDNgHwadcTX+/aZ/pR8di7L1lTvpd9R3MXYaXsndbxpFR36LpgWPomNhcotnEjj07GT8Ezjln8GKmkkNVWVdjRU9D0zA+r5b/9+V8c+nDIu/dvRod8afhdcHJWvzo4yW0BS8nWZ3eHbei1Up1QDM1Vqfr5R6FvgcOAnr1IITsV5+BoGZWuta+zH9gBVYG46onT7Xl6bg2RtvK+CoBAP5K/zFpZdirXjcPPDkn//Y8OYU7snnEWnlVeDrXZ0UXl7iGYg1K6gVaFPAbWU5F4wsNMb0Uo8iMR9T2eTkiuQ+IZmLPM7CWov+c/vvBfZ/NwO3KaXKlFJnYa1535zA5/sJMBV4USl1jlLqSKXU6Uqp6+zjchLRgv1qQcfCbT34WkT6OgbrJI5OVddFNwN3Yx2PZGjghrnh/3TEHN1HRnyVXEknIGkhrbUOaa2fxLqaBtiqtX4Ma0aGC2us8A9YPzwPJvD5FmONX2/BOrvsJaw52hOB/ybY1hchbUYSmPMm+oprghU13e3RsRjrqnskwMom3frQB9GnUt2Y6JFNTjfQFyRtxWE68heXzsI6oXdl4LBzj/cNHZv2W1iKhH0GTG6oKuv0xpO9M97VWBvLbwGonOU7fsowl3wfpIebqWy6yukm0l2mH5/VhL2iyWxv2eZsKyLJxgB3dFVQXRftwLov4seeTXTD3PDLW0JmovtTi9Ra7nQDfUE2hLQGiIe2yXBH5jkvWFHzra4Kquuiq7GG14YDqj1G/NbayBMxUyd1gZPYI4nsxZz1Mj2kt2Hv9xpv3SIhnZluC1bUjO2m5k2sbQyGAyxZb25+rj72Qso7E92RK+kEZHpIN2OFtIpt27DN4V5EauQDDwcrajrdk7O6LmpibUXQjnWCNHcvji5etjX+ca90KHYnDqx0uom+IKNDOlRfG8Ma8vDGW7eEdDyW1OXhIm1MA7o8Zqu6LtqMNT49AHvGz/VzIs+0RrS8wnLGKiqbZMgpARkd0raN2DeNzI6Wbs8TE33WVcGKmuO6Kqiuiy4Fnsaelrc5pDv+/k7kCTOTpzilr6VON9BXZENIr8Pax5p4W6Pc1c9cCrg/WFHT3Ym7zwDLsBa68HpDfPW8VfE3U92c+ArZ6D9B2RDSDdhX0rGmTRLSmW0ocG+wouYrB45uV10XjQJ3YS2wygW4eUHkv2tbTBkf7V0S0gnKhpBehz1XOrp1tYR05jsB+J+uCqrrohuxVr4OAwxTo2+cF34yHNPtvdCfsEhIJyhbQtoAiGxYvlFrU7atzHxVwYqa7vZkXQS8gX2ay/JG3fzoR9GET7cXe2UTlU2rnW6ir8iGkG7B2g3Nq6PhmBkOyaYumc+LNS0vr7MC+zSXR7A2++oP8NjHsaXvb4i/3TstZjW5iu6BjA/pUH2txlrZlA8Qb2tc62xHopeUYG3M1anqumgIa2l5AVawUzU3/GJju5aNf1JLQroHMj6kbZ8CeQCxrZ/LDaLscWGwoqbLUw6q66INwMPY0/JaI8T+8lb48ZipY109TuwVmU3TA9kS0mu2/0d4zccrnGxE9Lq/BStqgt3UvAIswV42/vZac+NLy2MvpbivbBUG5nZbJb6QLSG9CnsPj+jWNdvMSPs2Z9sRvSgAPBSsqOn0yDZ72fg9WAFSAHDn29FFKxrNut5pMavMp7JJZtH0QFaEdKi+dhvWykNryKN5o1xNZ5dDgMquCqrrotuwDk4ehDWHmj/MDT/dFtFyUGpyveJ0A31NVoS0bTFQBBDdvFpCOvv8MlhRM6urguq66IdYKxJHAqxv1e33Lok+KcvGk0pCuoeyKaQ/wb5C6lj9oYR09jGAB4MVNQO6qXsaa3e2QQAvLo811K6JyxhqcmwDZIpjD2VTSG8PZhVv3tga72iVaVbZZwTwj64KquuiEaxhDy+QA3DT/MgbG1rNNV09TiTkFSqbZDFZD2VNSIfqa1uxZnnkA0S3rJZduLLTKcGKmsu6Kqiui64D/ol9mkvUxLxpfuSJSFyHe6XDzPWY0w30RVkT0ra3se7207Hy/Y8c7kU45+ZgRc2EbmoWYE0VGwlQt8Xc9uQnsWdS3lmG0lq3AzVO99EXZVtIf4w9Lh1ZV7fBDLdtdbgf4Ywc4JFgRU1uZwX2svF/YY2j9gN46IPoRx9tjC/pjQYzjVLqOSqb2pzuoy/KtpBegbWXRw5AdPNquZrOXgcCt3RVUF0XbcM6zaUQ8AD8YW74uW0dWvZ/6blHnW6gr8qqkA7V18aBeVhHKNG+6j054y67/SBYUXNqVwXVddHlWGOpIwGaw0TvWBR5PG7qeG80mAlkqGPvZFVI295h+5DH2rr1ZjgkQx7Z7e5gRc3IbmpeBD7C2n+aBWvi619bEZf5vglSStXIUMeey8aQXgG0YZ/WEtm8UoY8slt/4F/BippOfxaq66JxrEMC4tizg/76VmThym3mst5psc+7x+kG+rKsC2l7yGMuMBCg/dMFi7WsKMt2RwC/7qqgui66FWv+9GDApYEb5oWfCkV1ay/012eZWq/CeiUi9lDWhbRtMeAGa8OleMvm5Q73I5x3dbCi5tCuCqrrou8BL2CPT69p1m0PvBf9j/yO75yh1F2ygGXvZGtILwe2YG+41LHyPVmqKlxYu+UVdVP3BNaiqEEANfWxz95ea85PcW99ktY6RjcrPEX3sjKkQ/W1JvA89pBHqH7hp2ako9nZrkQaGIU1pNGp6rpoGLgT656GD+CGeeFXN7WZcuLPLjQ8TWWTHP68l7IypG2LsG4EudCmjmxYvtjphkRaOCtYUfO9rgqq66KfA/dj7QWiInHMWxZEnojGdaRXOuwjDKW6/IUnEpO1IR2qr20GFmK/bA3VzV0sJ4kL263Bippx3dTMAWqxTxv/aJO5tbou9lzKO+sj4qZeimxLmhRZG9K2N7BfssaaNrTEGtfJ4hYB4Mc6bdzXWYG9bPx+rBWsAYD73ou+V7c5/kHvtJjeXIaqorJJ7qgmQbaH9HJgPfaRSW2fvDlH7tQL22Tghq4KquuiLVjLxvtjzxa6fk742eawbkx5d2ksZup1wENO95EpsjqkQ/W1GngO64eMyPplG2NN62ULU7Hdj4IVNWVdFVTXReuBx4F9ABo7iNz1TuSJuKmzdujMpbiByqao031kiqwOadtbQCuQCxBaOve/zrYj0sw/gxU1w7qpeR5YCgwB+O/K+Of/XRl/PeWdpaGYqbcope5yuo9MkvUhHaqvDWMdmTQYIPz5J+tiTRvrne1KpJFBwP3BihrVWUF1XTQG/B3rRHo/wJ8XRuauaTY/650W04eCG+Q08OTK+pC2zQPasbcwbaubJ1fTYmfHAj/vqqC6LroZK6iHAoYGbpgb/k9HTId6ob+0EI3rTS5D3eZ0H5lGQhoI1de2A9Vsv5pe/cGaWPPmrLsKEl26JlhRM72bmsXAq9jLxlc26daHPog+lerG0sgvqWzKml9KvUVCeoc5QBh7Sl7bR6+9LBsviZ14sKblFXRWYE/L+zewAXvP8qeWxuoXr4vX9k6LzmmP6nqPS/3T6T4ykYS0LVRf24a1MfkQgPDapeujW1YtcbQpkW72w5py16nqumiHXZPH9mXjc8MvbwmZG1LfnnNcBpfLRkqpISH9ZW9gjU3nArQsrnlVx2Oy1Ffs7PxgRc0FXRVU10VXAw9iLxtvjxG/tTbyeMzUGTktrTWi/+u9pvllp/vIVBLSOwnV17ZivVwdAhBv2dzWseYjuYkodnVbsKJmbDc1b2CdAjQcYMl6c/Nz9bEXUt1YbzO1NnPcXOp0H5lMQvqr5gOfY58Q3brk+YVmOJTVK8jEVxRgjU97OiuorouawL1Yr8wKAe5eHF28bGs8o7YeaI3wD/fvmzPqa0o3EtK7CNXXxrBeqhYBSsci8VD9wpec7UqkoWnAdV0VVNdFm4A7sG4i2svGI8+0RnRT6ttLvVBUbyr0qf9xuo9MJyG9e0uxXqoOAQjVzV0aa9oo59mJXV0VrKg5rquC6rroJ1iLpfYB2BzSHXcvjjxhZsDMoW0d+hKZcpd6EtK7Ye/p8Sjgxb4Can6n+lm5iSh2obBWIw7qpu4ZYBn2L/3XVsRXz1sVfzPVzaXSxjbzxeE3t/zH6T6ygYR0J0L1teuxpuQNB4g1rm1qb3hX9scVuxoK3NfNsvEo1okvLuyZQ39aGPnvuhZzZe+0mFwdMd3mdanzne4jW0hId60G6yzEIoDWJc8virVsaXCyIZGWTgB+1FVBdV10I3A3MAwwYib6xvmRJ8Mx3ef2udgS0lcVVTVvdrqPbCEh3YVQfW0H1g9WP+x/q+a3n35ahj3EbtwQrKg5uJuaRcCb2Ke5LNtqNj/6UbQ65Z0l0boW89URt7Tc6XQf2URCuhuh+to64GXs/RhiW9dsa//s7Red7UqkIS/WtLy8zgrsZeMPY7066w/w2Mexpe9viL/TOy3unaYOvXVtiz7D6T6yjYR0Yp4EtrJ92OP9lxZHt62TwwHErkqA/+uqoLouGsJaNl6AFexUzQ2/0NiuN6W+vT0XM7X50ab4BVPvat3mdC/ZRkI6AaH62hDWjZ8irJs/NM1/5CkzHNrqZF8iLV0YrKg5q6uC6rpoA9YV9QiA1gixv74Vfjxm6lgv9LdHlm427zz0H21y0K4DJKQTFKqvrQeexZ7vara3hJvfqX5Um/G0/cESjrkrWFET7KbmFeA97NlDi9aaG19aHkvLRVNrms0Pf/Vq+Eqn+8hWEtI98zRQjzXtisi6Tze0L6utcbYlkYYCwEPBihp3ZwX2svF7sLbHLQC48+3oohWNZl3vtJiYpg7d9PEm8yS7X+EACekeCNXXRoE7gRj2D1brB68siWxaudjRxkQ6OgS4uquC6rroNqxhtIHYw2h/mBt+ui2iW1LeXQLCMR2dsyp2ztcfaOuT87kzhYR0D4Xqa7cAt2Htx+ABaFrwyPPx9ub1jjYm0tGvghU1R3ZVUF0X/RBrPv5IgPWtuv3eJdEnnV42bmqtX/ksdt1JD4Uybue+vkZCeg+E6ms/AR7H/sHS0XCsacGjj5jRcKuznYk0YwAPBitq+ndT9xSwEuvQW15cHmuoXROfm+LeujR/dfyJv70TvcbJHoRFQnrPPQ+8i32HPta4tqn57af+JQtdxC5GAv/oqqC6LhrBGvbwYh+GfNP8yBsbWs01qW/vqz7aGF/8x3mRC2QcOj1ISO+hUH1tHOuHrxFrTJHI2rr1rR+8/G+tTfnmFjubHayouayrguq66Drgn1izPVTUxLxpfuSJSFyHe6VD28pt5up73o2eaB8DJtKAhPReCNXXtgB/wvp3DAC0L1/0WejThX1qqa/oFTcHK2omdFOzAJiHPYxWt8Xc9p9PYs+mvDPbmmZz413vRI6/eUE4o89j7GskpPdSqL52HXAz1ukbfoC2D195r2P1R2842ZdIOznAI8GKmtzOCuxl4w8C27BXt/7rg+iHH22ML0l1cxtazcbb3oqcc92csJyykmYkpJMgVF+7HPgL1n7BXoDmt554M7JxxduONibSzYFYv9A7VV0XbcNaNl6EPXvoD3PDzzV16C2pampLyGz+61uRi/8wN/x6qp5D7DkJ6SQJ1dcuAe7DeqnqAtg254GayMYVfWLzHNFrLg1W1MzuqqC6Lroc69CJkQDNYaK3L4o8Hjd1PNnNNHXottsXRX/03gbzyWR/bpEcEtLJ9TpQDYzC/rfdNueBZ+WKWuziH8GKmpHd1LwIfIS1/zQL1sTXv7Yi/moym7ACOlKxaG38PnuoRaQhCekkso/dehJ4CQiyI6hrIhs+W+RgayK99MeaP93pz191XTSOtZd5HMgD+OtbkQUrt5lJOWtzc8hsumFe+NcL1sRvl4BObxLSSRaqrzWBh7CuhIJsD+q5Dz4X3rD8LQdbE+nlSODXXRVU10W3Ys2fHgIYGrhhXvipUFTv1aKpdS3mlt+9Ef7dhxvNv8pc6PQnIZ0CdlA/DLzATkHdNPdfz4fX1y90sDWRXq4OVtQc2lVBdV30Pazvo30A1jTrtgffjz61p6vGV24zN1z9RvjXK5v0X+yrdZHmJKRTxA7qR7BWJgbZvg/1vIdfbF/x7ova4b0ZRFpwYe2WF+im7glgDfay8Wc/jS1/e605v6dPVr8l/vn/vt7x0/Wt+u/VdVHZYrePkJBOITuo/421gc4owA3QsviZhW0fvS57UQuwvi/u6qqgui4axtp90We/ccO88Kub2sy1iT7J/NWxpb95LXxZYwcPyRBH3yIhnWJ2UD8KPAbsi703Q6hu7tLmt5++14xF2pzsT6SFs4IVNRd1VVBdF/0ceABrrxgViWPesiDyRDSuu9wrJm5q898fRhdUzY1c3h7jGblJ2PcoedXde/zFpYcCF2Odl9gC4Ok/sihwyNnnGTl5Ax1tTjgtBExtqCrr9OzM8hKPAi4DDsYa/uA7kz2TThvvmb27+vaobv/LW5HX566KX1NdF5V7IX2UhHQv8xeXjgN+DESwTo3G8Adyig479wx34aD9HG1OOG0JMLOhqqzTTZXKSzwFwO/tvzYB3Hic77SSga6JO9dtajO3Xj8nUr280bzWXhwj+igZ7uhlofrapVg/ZBHshQpmqKlj68t3PNix+sPX5YZiVpsM3NBVQXVdtAW4A2uutRvg+jnhZ5vDunF7zQcb4p/99KWOO5c3mldJQPd9ciXtEH9xaT/gSmA0sBowAXJGTwnmTzzudMPjy3eyP+Gosoaqsi5P5i4v8ZQDpwMrAI4Y5Rrxw1LvBU98HFv88IfR+4F7ZbvRzCAh7SB/cakPOAc4BlgHtAO4CgbmBQ45+3R3wYDRTvYnHLMJmNhQVdbplqHlJR438DOsm9EbgIJ+OQxr7OAh4DmZwZE5JKQd5i8uVcAM4HtYQyCbAFBKFc44/UjfiPFHKKWUgy2K3hUHrgGubagq63KxSXmJZyBwLda0vFbg9uq66Cepb1H0JgnpNOEvLh0OXI41Tr0Ge/jDN/LAEfmTvnGKKyd/kJP9idQzO1pbwxs+u3jDw798JNHHlJd4JmGdTP7v6rpoY3f1ou+RkE4j/uLSXOCbwCx2Gv5QLo+rYPrsI3zDS76mlCE3ezOM1lqH1y59v2Xxs0t0pP0G+6BjIQAJ6bRjD3/MBL6FtWx4HaABvMNLhhZMPuEUV27hUAdbFEkUDzWta1n87NuRDcvfBv5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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "piecounts.plot(kind='pie',\n", " figsize=(5, 5),\n", " explode=[0, 0.12],\n", " labels=['male', 'female'],\n", " autopct='%1.1f%%',\n", " shadow=True,\n", " startangle=60,\n", " fontsize=16);" ] }, { "cell_type": "markdown", "id": "95e144df", "metadata": {}, "source": [ "## 4.3 : ZTDL 3 – Machine Learning" ] }, { "cell_type": "markdown", "id": "79972227", "metadata": {}, "source": [ "### Linear regression\n", "Deze code blokken zijn nodig als setup voor de linear regression met keras\n", "We hebben gekozen voor een dataset die gebruikt kan worden voor linear regression. De dataset heeft geen bepaalde betekenis." ] }, { "cell_type": "code", "execution_count": 30, "id": "09ee5be2", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 31, "id": "37389405", "metadata": {}, "outputs": [], "source": [ "# read the csv file into the df variable\n", "df = pd.read_csv('../data/test.csv')" ] }, { "cell_type": "code", "execution_count": 32, "id": "a7ea6eb2", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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xy
07779.775152
12123.177279
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\n", "
" ], "text/plain": [ " x y\n", "0 77 79.775152\n", "1 21 23.177279\n", "2 22 25.609262\n", "3 20 17.857388\n", "4 36 41.849864" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# check out what is in the first few lines\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 33, "id": "952802ba", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the points in the dataset\n", "df.plot(kind='scatter',\n", " x='x',\n", " y='y',\n", " title='x and y in the dataset')" ] }, { "cell_type": "code", "execution_count": 34, "id": "8e9d0f89", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the points again\n", "df.plot(kind='scatter',\n", " x='x',\n", " y='y',\n", " title='y and x in the data set')\n", "\n", "# Here we're plotting the red line 'by hand' with fixed values\n", "# We'll try to learn this line with an algorithm below\n", "plt.plot([55, 78], [75, 250], color='red', linewidth=3)" ] }, { "cell_type": "code", "execution_count": 35, "id": "bf4cd5b6", "metadata": {}, "outputs": [], "source": [ "# define a method to calculate a point for a line given the input values\n", "def line(x, w=0, b=0):\n", " return x * w + b" ] }, { "cell_type": "code", "execution_count": 36, "id": "b4842e99", "metadata": {}, "outputs": [], "source": [ "# generate evenly spaced numbers \n", "x = np.linspace(55, 80, 100)" ] }, { "cell_type": "code", "execution_count": 37, "id": "479278e7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([55. , 55.25252525, 55.50505051, 55.75757576, 56.01010101,\n", " 56.26262626, 56.51515152, 56.76767677, 57.02020202, 57.27272727,\n", " 57.52525253, 57.77777778, 58.03030303, 58.28282828, 58.53535354,\n", " 58.78787879, 59.04040404, 59.29292929, 59.54545455, 59.7979798 ,\n", " 60.05050505, 60.3030303 , 60.55555556, 60.80808081, 61.06060606,\n", " 61.31313131, 61.56565657, 61.81818182, 62.07070707, 62.32323232,\n", " 62.57575758, 62.82828283, 63.08080808, 63.33333333, 63.58585859,\n", " 63.83838384, 64.09090909, 64.34343434, 64.5959596 , 64.84848485,\n", " 65.1010101 , 65.35353535, 65.60606061, 65.85858586, 66.11111111,\n", " 66.36363636, 66.61616162, 66.86868687, 67.12121212, 67.37373737,\n", " 67.62626263, 67.87878788, 68.13131313, 68.38383838, 68.63636364,\n", " 68.88888889, 69.14141414, 69.39393939, 69.64646465, 69.8989899 ,\n", " 70.15151515, 70.4040404 , 70.65656566, 70.90909091, 71.16161616,\n", " 71.41414141, 71.66666667, 71.91919192, 72.17171717, 72.42424242,\n", " 72.67676768, 72.92929293, 73.18181818, 73.43434343, 73.68686869,\n", " 73.93939394, 74.19191919, 74.44444444, 74.6969697 , 74.94949495,\n", " 75.2020202 , 75.45454545, 75.70707071, 75.95959596, 76.21212121,\n", " 76.46464646, 76.71717172, 76.96969697, 77.22222222, 77.47474747,\n", " 77.72727273, 77.97979798, 78.23232323, 78.48484848, 78.73737374,\n", " 78.98989899, 79.24242424, 79.49494949, 79.74747475, 80. ])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x" ] }, { "cell_type": "code", "execution_count": 38, "id": "56cd60cd", "metadata": {}, "outputs": [], "source": [ "# generate line points\n", "yhat = line(x, w=0, b=0)" ] }, { "cell_type": "code", "execution_count": 39, "id": "bd73d23f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "yhat" ] }, { "cell_type": "code", "execution_count": 40, "id": "7af98bd1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rgEXu3m9ma4D3A4uAB9z9JjO7BrgGWD3W1ycijVeY6TRItQR3tRLiBa08bqU0FcerUWMKEaDTzCJkWgh7gYuAO7Kv3wG8tzGXJiKN1NsX58Ed+8tmChUqHPwtHWsYbkK86ZNiLJ03ta0DAjSgpeDue8zsb4DngX7gfne/38xmuvu+7D77zOzksb42EWmswi6j0qmhABM7wqT9WDrqdT17WJVNQ5FKO59+zyKWzJ7CdRcsKhuDaPeHfb0a0X00jUyr4BTgEHC3mV02hPd/BPgIwPz580fjEkVkBNVKQFe4X7UuI4BL3zqf93XPA+AbG5/hr77/BMmCusmf+j9b6eoIk3LnugszAaLdu4OGqhGzj94JPOPuBwDM7LvA24AXzGxWtpUwC9gf9GZ3vw24DTIDzWN0zSIyDPUmoAPqWiD2zUee4583PksqXfmffm5Q+sb7tlccjJbKGjGm8DxwpplNNDMDzgOeANYDV2b3uRJY14BrE5EhqLZ2oPCTfz0pI7o6wlVbCQD9iXTVgFCo3VYij5RGjCk8amZrgV8ASeCXZD75TwLWmNmHyASOi8f62kSkfrVaAUMti3lkMEUsbMRL6hd0hI3BCjUNqmm3lcgjpSGzj9z9M+5+ursvcffL3T3u7r3ufp67n5r986VGXJuI1FZPKyBoFtBgKs3h/gS9ffHAWUMWsqL9YxHjS5csIxYp3l4qFjHCBtGwFeU7UtfR0GlFs4gMWT2tgNKymAPJFKl0mo9+6xcMJFNlBWtyK44Lax3fsnIpFy6dTdo9f5yjiVRRF9Il3XO59K2vbql6B42koCAiQ1bvWoBcWcyHdh7gr3/wBIk0RQnpct+vumcLyxfOIPOoNzDAreg4hYvLDh4ZDCy1Ca1f72C0KSiIyJDlWgGFn+qDumty4w4hM0oyVRRJp53vbd7D53+4o2h9Qi5YlB534cwTyoKBjAwFBREZlkqf6nPqWXeQM5hybvrhkxVrGTy088W6prbWuyZCKlNQEJEhyz3w48ljD/zST/VB4w4AsXCIeKo8UAwky7cl0mm6OsL54JI7VlALYihrIqQy1VMQkSHLPfALla4LCBp36AgbV523kHD1yURFtQyODKZqnmuoayKkMgUFERmyegaaS8tiRkKZLqd/+PFvqLXs4Asrz2Dj6nNZsWxOXeeqJ0hJfRQURGTIKtVBDkpJvXH1udx66RsJh0IkUl5WG6HUhGiIeSdOLJvaWu1cw82MKuU0piAiw5KbblppamjO9EkxpnRG6QiHisYgqgma2lqt3kHpmghlRh0+BQURGZJ6SmSWzgKaO62T/kSy7FhdsTCDyXTZQragh3lQcZxCKpQzMhQURKRuuRk+kZDRF890A5XOCAqaPppZmGbkJrIChM34x0szdZBhZFYi1wocUpuCgoiUCZrvX0+JzG17Xy6bPnr12s1cde6pZdlNU+6AF40dSOMpKIgIULlb6LoLFrFkzhQO9ycC1x3kDCRTgJftE086X37gqQpnrTE3VcacgoKIFJXBzM0Oyj3YP3XvVibFwiRSTipdeaDY3Zk9JXjsoDQdNkAkRL7rSJqHgoJIG9v5wis8tPNF/voHT1StWZAbP4iGjVgEwqEQR0umlnZGI+w9PFA2dlAqFg6BObesXKouoyakoCDSpj5976+485Hnh/SeCZEwn//DJbzYF88GkmOvDaZS/Gr3oZqV0a5fsYjfW/wqBYQmpaAg0oZ2vvDKkAMCwJHBJJ+4ewsd4RCOEQllppL2J5KkHb7y4M6ax4iGQwoITUwrmkXaUM+uQ8N6X9ohnszkF0qknHAoxOf/8PX51cr9dWREXTZv6rDOLWNDQUGkDY3Ug7kjHGIgkaIjXP4oiQVsu+Ks+aqD0OTUfSTShhbOPIErzprPnQ8PvQupUCKdZtm8qWV5h2KREP90RTeLZ0+uWiVNmo9aCiJt6oaLXs/aPz2TD599StX9DPKJ6M5eOL3otUu657Jw5gllCetuWXkG55x2EtMnxVg48wRWds9TQBgn1FIQaVOFaxNKRULGX17wOt6+cAaQGYNYMH0il/3zz4v2W7NpNx8/7zTlHWohCgoiLaRSOcrC7QDb9h5m1drNZeUvczqjYd4wfxrb9r2cz2MUT6UxDy6Xmcs5pGAw/ikoiLSISuUoC7cPJFO4Ox2RcMWAAJXLYAbtp5oFrUVBQWSc6+2LF33yL8xaumjW5MAHe7JCoZuuWJhU2ovKYBa+b0I0RDrtxCJh1SxoUQoKIuNYrhUQMiv75B8NhejZdahqErtSN//hGZz12ulMnxSjty9eNqsI4AdXnc2RwZTGDlqUZh+JNLHevjibdx0KLEBfmMq6NA8RHJsumsleWp+BRKpmGcyFM09g6bypCggtSi0FkSZVaYwgZ/fBfrxKnqFLuucyrasD9+q5iAqVLmrTrKL205CgYGZTgduBJWTSKf5X4EngLmAB8CxwibsfbMT1iYyF0hlBhQ/ewlZAaWWz3IO5qyMcmJI6567HdvGaGZOIRcIVxxAKVVptrFlF7aVRLYW/B37k7ivNrAOYCHwSeMDdbzKza4BrgNUNuj6RUVXYCuhPJDEzJhQM3r56elfZWEDh9E+AI4MpJkRDFSuhxZPO537wBIkqgSMWCXHtu0/n7QtnaHGZAA0YUzCzycA5wNcB3H3Q3Q8BFwF3ZHe7A3jvWF+byFgobAW8Ek+STEMi5bwSTzKQSLPqni10dYTLBnlLp3/OndZZM011YUDojIYIW6YmwsSOMLFIZuXxB5afooAgeY0YaH4NcAD4FzP7pZndbmZdwEx33weQ/fPkoDeb2UfMbJOZbTpw4MDYXbXICNl9sJ9oqPo/vSODqcBB3tJunGSVVkCpVCoTZNw9WwOn/vdK+2hE91EEeCPwP939UTP7ezJdRXVx99uA2wC6u7v1t1rGnbnTOgOneuYMJDILx6oN8vb2xfne5r1DeqwP5k7pkExnxhhKxylEGtFS2A3sdvdHsz+vJRMkXjCzWQDZP/c34NpERl3hVM+J0XDZ67HwsTrJQdb17OFtN23g8z/ccdzXkhunEMkZ85aCu//WzHaZ2e+4+5PAecD27NeVwE3ZP9eN9bWJjIagfES5VsC2vS/z4Ts3EU8eazlYyJg7rTNwSuryhTP4i7s3Vxw8Dhtcd+Hr+OXzh1i3eV/Na1OaCillQ5nDPGInNVtGZkpqB/A08EEyrZY1wHzgeeBid3+p2nG6u7t906ZNo3uxIseh1loDgPU9e1hVsM91Fyxi3omd2WBx7N9nLBLiqnNfyy33P1XxfFecNZ8bLno9kCm52bPrEC8dGeRL//HrijOdSq9HWp+ZPe7u3YGvNSIojBQFBWlmvX1xlt+8oWjK6IRoiI2rzy3rw8+1JrbuOcwN923HgIFk+bhDLGxV1ybUOn7QmghpP9WCglY0i4yS3CyjamsNcnI/r/zqz6quK6gWEGodv3CbgoFUotxHIqMkaJZRtT78bXsPVw0I9dAYgRwvBQWRURKUUO66Cxex+2A/vX3xgGR35RXQ6jUxGq64lkFkKNR9JDKKCtcabN1zmBvv215U7KYzGikYXJ6IUX1JWdCYQiwS4quXv4nFsycrIMhxU1AQGWW5B/X7bnu4rNjNK/EkAJ+6dytdHaGai9HMDMOL9nvfm+dyzmknjfBVS7tS95FIHQq7eirVOKhW+6C+1Ba1C+EMJNNlgWPNpt2B5xQZDrUURGoIymgaDYdIpZ1bVpbXQQ6a/z93Wif9ieSwzt8ZCdEfMD01p9KMI5HhUEtBpIpKGU2PDqaIJ9N84u7N7HzhlaJ9BhJprl67hW9sfIadL7ySP5ZZ+UByZ6T64PKZp0zja1d0E66ym2YcyUhSUBCpola3TyLlPLTzQNk+8WSa67+3nXf+7U/49LpfsftgPxMixXmOumJhPnzOa4lVeeI/8sxBJkZDhELl+3TFNONIRl7NoGBmHzOzaWNxMSLNplZGU4Aj8RSDqcr73Pnw8ySSqbLjJFPOaTNPgIAWRKF/feR5YpHif6pdHWE++57FbFx9rtJUyIiqp6XwKuAxM1tjZudbUBtYpEVNnxTjku65Vff5x//3G1LpNNGwlT28c57tPVq0ZiEaNlLpNNd+91cF7w3+p/WjrXvpixdnTU25847TT1YLQUZczaDg7n8JnEqmUtoHgKfM7K/N7LWjfG0io67ajKHc62s27S7bXtjl0xdPkUxDyOCz71kUeJxl86ayYtkcNq4+l1svfQMhg2Sa/DhFyOCLFy8lHPCZqzAeqMtIRltdYwqeyZr32+xXEpgGrDWzL4zitYkcl1oP/HU9e1h+8wYuu/1Rlt+8gfU9e8r2CRpT6IqF+dP/9FomxYrHCDrCYV43ewpXnDW/aPsVZ83Pl7ucPinGlM4OOsLl7513Yhd/+76lxCIhOgLGGdRlJGOh5pRUM7uKTH2DF8mku77a3RNmFgKeAlaN7iWKDF2tKaKFs4pyi8mCqpAFTSWNJ1KsWDqb2376dNH23CygGy56PVecuYCeXYdYNm9qWf3jajmRls6bmq2zcLgsdba6jGQs1NNSmAH8obu/y93vdvcEgLungQtH9epEhqi3L85Pfn2AVWuLp4iuumdLUYshqAVQqQpZ6TCamTGtq4Mv/NEZxCLGxGiYWMSKunQWzjyBld3zygICBOdEKnzv9EkxzjntZG5ZubRmjWaRkVazpeDun67y2hMjezkiw5drHYSwokpmUL7Aq94MprsP9pd9cjLgwR37s+ewzAavPP+iWuW1anUN6tlHZKRpRbO0hMLuoCClD/zcp/XSime5lkLuAdzVES5LQDeYcq6791f0J4u3B3U/VevGKq1xEKSefURGkoKCtISggjYAEzvCpN3zKauBwE/rW/cc5sbvby97eO89HFzUvjQgQHlrpN5xC5FmoqAgLSGoOygWMb562RvZ9VJ/PmV10Kd1KM9gmnt4v9xff76i0tbIUCqviTQLpbmQlhA0eHvLyqUsnj2FG7+/fViDztv2vsyLfQM1z11p7cBQK6+JNAO1FKRlBA3Mbt51qOqn9d6+OIf7E2VpKvoTST585yaiFfISdXWESblz3QWLWDJnSuBAcNC4hWYQSbNTUJCWUjowW+3TeuEgcC7VxIRImMFUirRnktrFC3qPOqMh0g6ffs8ilswODgSlNINIxhsFBWlplT6tA2WDwLEI3HrpGwD46Ld+SSJ1LCJ0xTKriYezeEwziGQ8UVCQllf6aR0y6wzS6ZIZRA5TOjsCWxeptFYTS3tQUJBxI2gRWL1yn9bX9ezh6rs3g8NgSVCIp5yujnC+dXH12i2EQ0Yq7RoLkLahoCDjQq1cRkFKg0hvX5w/v6uH0gZCzoRoiCODmZSknvuvW/4nkXagoCBNbziLwIKCSMioGBBy5k7rzJ8vk4wuVdf5RFpFw9YpmFnYzH5pZvdlfz7RzP7dzJ7K/qlqbwIEryMIAXf87NmiGsg5pXWVc2sTnus9Gnj8WCRUtM5gKMnyRFpNIxevfRwoTKh3DfCAu58KPJD9WSQwffXRRJovb9iZr4FcqFIQ2Xc4eCHaFy9eWlSjQIvOpJ01JCiY2VzgAjL1GXIuAu7Ifn8H8N4xvixpYtWqwN758PNFLYagh/rRRJpvPvp82XuvOGs+Fy6dXdQtVCu1tUgra9SYwt+RKc5TmGx+prvvA3D3fWZ2ctAbzewjwEcA5s+fH7SLtJjdB/uZEAkXrRsotX7zXq5824L8LKPc7CHDGQhIXtcRyqS87n71iYHH06IzaVdj3lIwswuB/e7++HDe7+63uXu3u3efdNJJI3x1MpZqlcvMCeo+KnX7T59m+c0b+NYjz7F51yFeGUgCTio4kzaDaWcw5WV5kApNnxRj6bypCgjSVhrRUlgOrDCz3wcmAJPN7JvAC2Y2K9tKmAXsb8C1yRgZ6hTTTPdR5alDR7N1FD5171a6OsL5qaW1lOZBUstA2t2YtxTc/Vp3n+vuC4D3Axvc/TJgPZla0GT/XDfW1yZjo9LsoEqf2HPdR4UmdoR5X/dcJkbL/wrXGxCgOA/S8ps3cNntj7L85g2s79kztJsSaRHNlDr7JuA/m9lTwH/O/iwtKGh2UDhkPLhjf2BgqJR24uxTTyoru1mvwnTXwJCClEgra+jiNXf/MfDj7Pe9wHmNvB4ZG0FjBEfiKT6zfht/uW5rWVdSaVK7gWSKVDrN6nu2kKqxGG1iNMRgKo1ZJgNqruxmYbrrWum1RdqJVjRLQwSNEeS6fQpXD+f6+ZcvnMHG1eeybe9hPnznJuIpSNboJopFQtxw0RLecXpmIlul8QKtSxA5RkFBxlytKabuzoM79hNPprnhvu35pHS3rDyDV0/voiMcJp6sXSbTjKLMppU+9asYjsgxCgoy5oI+mReKJ51Pr9vG0URxS+ATd2/mh1edHfjerliYwWQad6czGhnyg13rEkQyFBRkzBUuLgMCB4tLAwJAIuXsPdzPJW+ay52PHFudfEn3HC596wLmTuvk4JFBenYdYtm8qSyceULZMWpdl4KBtDsFBRkxQ5nnn0tNHaqSviLIy/1J1jy+u2jb+s37WH3+63ho54tDTq8tIsUUFGREDGUxWnFq6mODzROjofwitCCREEzujATOFNq29/CQ02uLSLlmWqcg49RQFqP19sV5cMd+IqHiFkJXLMwNFy3hc3+wJJ+ILho2wgYTo2FiEeNLlyxj8ewpgTOFwJTuWmQEqKUgxy23GK3WPP91PXtYtXYLIYP+ROUayOcvflVRPeXSLqmgmUKLZ0/WtFKREaCgIMelty/O4f5Bjg4WTxHtTySLHsi9fXH+4u7NJEpWm3XFwqTSznUXLMp/qi8d8C3t/qk0U0jTSkWOn4KC1CVoEDk3jhAJWdnK4tL6B9v2Hi4LCABX/95pRMNhbvz+9iENEAfNFNK0UpHjp6AgNQUNIi9fOCM/jhBkQiRc0n0UPMvoSDzFlzc8STw5MgPEmlYqcnw00CxVVRpE3rb35bKB3UKl3UeLZ08mErD7Vx7cWbZOQQPEIo2joCBVVSpiD151VXJp99H0STG+dMkyYhGjsyA6lA44gwaIRRpJQUGqqpQsbvHsKfk6xhM7wmXvy3UfFVqxbA4/u+Y8bnzvEibFyt8zsSOsesgiDaagIFVVK2K/YtkcNq4+l69e9kbCJUMGpd1Hhcd7x+knk0wXDzrHIsZXL3sjG1efq1XIIg2kgWapqfasHst+HXvQe4WBZaiclfSc004elesXkfopKEhdgmb15GYl4ZDy4k/+qbTzvc17eM/SzKf+0oCi6aMizcnca5SuamLd3d2+adOmRl/GuFe4BgGoupo4t3++2E2y8t+fzmiIREnVMyWpE2k8M3vc3buDXlNLoc0VrkHoTyTzD/CBZKqsNsGKZXPy+4fMqgYEKJxZ5PmCOkpSJ9LcFBTaWOEahGN5i7yoItor8WMP80WzJlddsAbQETYGqxROHmrt46Gk4xaR46eg0MaCEtlVEg2F6AkocA+ZLKZpMvmL5p04MdutFHzMwVSKw/2D9PbFaz7kh5KOW0RGhoJCG6tVFrNQIp1m2bypZfvHIiFWnf87vH3hjHyls1tWHptZVNgl1Z9Iknb46Ld+WXfNBdVHEBlbWqfQhnr74mzedQjg2AK0aPliMsi0AnJrExbOPKFozUI0bKTSab54/6+58CsPsb5nD0B+/cI3/+StPPrJd/LItedx66VvJBwKkUh5zZoLUHkltdJfiIwutRTaTFCXzMbV5/Lwb3r52Ld/Wbb/F1aewVmvnV42lTQ/+yhVPO6Q+yRfOoV1SmeUjnCoqFup2vhCpZXUSn8hMrrUUmgTvX1xfvLr/axau7ksuR3AvBMnMiFa/NdhQjTEvBMnlj20p0+KMaWzg45wceui2if5oT7kq62kFpHRo5bCOFXPrJzcPlv3HObG728PnEaae5BXejjntpeeb+60TgaSqaJ9B5Kpmg/5oRTB0QI3kbGnoDAO1TMrp7AATl88VeFIxz6tV3toV6qnULrwsdZCyOE85FUfQWRsjXlQMLN5wJ3Aq4A0cJu7/72ZnQjcBSwAngUucfeDY319za6eWTmF+1SSm0Za+Gk96KFd6Xy3Xd5NZzSSH08A6IxGaq5B0ENepLk1oqWQBD7h7r8wsxOAx83s34EPAA+4+01mdg1wDbC6AdfX1ILWFpQO2NZaf9ARtrJppDmlD+1K5wuqp6CBYJHxb8wHmt19n7v/Ivv9K8ATwBzgIuCO7G53AO8d62sbD+oZsA3q7y/aP+Xc9MMdXPC/M9NIc1NUg6aH1lNPQQPBIq2joWMKZrYAeAPwKDDT3fdBJnCYWWAeZTP7CPARgPnz54/RlTaPegdsq/XvOzCQnRr6Z3f1EA0bHeFMwrrrLljEkjlT8t1H1c6ngWCR1tOwLKlmNgn4f8Dn3P27ZnbI3acWvH7Q3adVO0Y7Z0mtNPuoty/Ogzv2c/33tlUdYK5mUixMMu1FA9jKQSTSOpouS6qZRYF7gG+5+3ezm18ws1nZVsIsYH8jrm28qFbfIGzGkcHhBQQgH0yqLUYTkdY05mMKlqno/nXgCXf/UsFL64Ers99fCawb62trFoV9/JX6+zc908uX7n+STc/05t+TmyV0PAGhkNJKiLSfRrQUlgOXA78ys57stk8CNwFrzOxDwPPAxQ24toYrXBNQqabBZbc/wkM7M8Hgyxt2cvbC6fzFu06vO+NpoVmTOzjYnwxsXWg2kUj7GfOg4O4PQcUCvueN5bU0m+D6BsW5hbo6wvmAkPPTnb184G0DdWc8LbTv5UHW/umZRCNhtu49zI33ba97xbGItB6taG4itdYXREMh7t/+QuBrm3cfzs8SMgqrnh0TBoI6lp7tPcrK7nksnTeV8xe/SgPKIm1MCfGaSK36BkcHkyw8eVLga7OmTGD5whlsXH0uX7v8TWVNMQP+6g+WBL532byp+e+nT4qxdN5UBQSRNqWg0ERyawJikRCd0fJfTcrh7/7jqcD3/vUPdrD85g1s3Pkii2dPIRIuDguRsPF7i1/FFWcVr+244qz5ZauaRaR9qfuoyXj2v+l08LBLbjA4GoL3vXk+dz32PIl08bjDbZe/iQmRcFGt5QmRMLsP9nPDRa/nijMX0LPrEMvmTVVAEJEiCgpNJDfQnElvXX1R4YRohGXzprL2F7sDupysaiqMhTNPUDAQkUDqPmoSuZXI6XR9K8z7E0kWTJ9Ylgl1IJFm9pQJykskIsOilsJxGon0D+t69nD13T3gMFjnrFIz42giRSxsxFPHAkksnFlvoLxEIjIcCgrHoZ5iN7X09sX5s+/01OgsKtcRDvH0gSNlKz4sZPluIqWmEJGhUvfRMBUuNCusdxyUfrpaauqHf9M75IAAmQHnv7n/SdIOkRDqJhKREaGWwjAFLTQLh4wHd+znHaefnH8w12pNvNg3EHj8SAiSAV1JE6MhjmbHEXKJ62KRELde+kYWz56sgCAix0UthWEKWmh2JJ7iM+u3sfzmDfniNbVaE29feFLg8UNA2CAatnwr4JPvPp0/Ofs1dHWEi/btCIeY0hlVQBCR46agMEy5hWYToiG6Ysce0kcGUwwk0ly9djPf27yXsBV3+pdmHl0484SyBWWQGXBOOaTTzq2XvoHrLljEl/7j13z9oWeUuE5ERo26j+pUOMsIMt1HubQSD+7Yzye/u6Vo5lA86dz8ox1lOYgKH+C5Y/7OzMnEIiHS7iRSxSMMKYeX+xPc+P3tZdNPu2JhUtliOGoliMhIUFCoQ6101svmTQ2cSloYELo6wqT82AM8d8xIyGpWSHuxb7Bs/KKrI8xn37O4aPxCROR4qfuohtJxgUTKSWbTSuTGCPYe7mdCQK6inK5YmM+uWMzG1eeyYtmcomPWCgjRsPH2hTPKxi9S7goIIjLiFBRq2H2wH6+yyjgaClG5PERGKl38AM/NXKqmMxoiFgnxxYuXsnDmCVqhLCJjQt1HNXR1hItWDJdKpNMsnj05X8sgGgrRn0hiZpmkdAHFamqlyA4bfO3y7qIpplqhLCJjQUGhhiODKSZEQ2WDvLFwCOzYGEHpQxuo+ADPzVxadc8WQmYcLZlNNLEjEjjFVCuURWS0KShQPX/R3GmdZTOCAEIho7RXqfChHbR6uVAuiGzbe5gP37kpmxk1Q1NMRaRR2j4o1FpxfPDIIKmAMYX+RObT/ap7trB84YyiYFJvTqTpk2Kcc9rJ3LJyab7rSbWRRaSR2jooFM4Cyk33LH3I9+w6VPUYucVohS2EWscspfECEWkWbT37KGgWUOmK48L6xUFKu3rqOWYQ1UYWkWbQ1kEhaBZQ6UM+KA1FOGQVp4bWc0wRkWbV1t1HhbOAqvXn33DR61lxxmx+8tSLnHPqDE45aVLRLKPNuw7lu33qPaaISDMy9+Fk828O3d3dvmnTpuM+Tq3qaZUGjqsNKI9ERTYRkdFgZo+7e3fQa23dUsipNv+/0sDxolmTqw4oa02BiIxHbT2mUI+ggeOwGes37yUSqp4WW0RkvGm6oGBm55vZk2a208yuGYtzViuXGVhMZzDF1x96uiyZnQaURWS8a6qgYGZh4Fbg3cAi4I/NbNFonnNdzx6W37yBy25/NF8xrVBRMZ2OwmI6BWmsY2ElqRORltBsYwpvAXa6+9MAZvYd4CJg+2icrN6FZrnFZQ/u2M/139tW1EJQXQMRaSVN1VIA5gC7Cn7end024nr74jy4Y3/d4wLTJ8V4x+knk0yXVkZTXQMZYWb6Gu6XHLdmCwpBv9Wip7CZfcTMNpnZpgMHDgzrJLkuo8+s31Y2LjCYSnO4PxE4vlDYlaS6BiLSippqnYKZnQVc7+7vyv58LYC7fz5o/+GsU+jti7P85g2B9Y4Hk+myUptBiey0BkFGlT7xDl8TPc+aWbV1Cs3WUngMONXMTjGzDuD9wPqRPEFQJbVoCP7LW+ZjlJfarNRiUJ4iGTXu+hrulxy3pgoK7p4EPgb8X+AJYI27bxvJcwRVUkuk4V8feY6SWjd42rXuQETaSrPNPsLdfwD8YLSOf2QwRSQEyZJqmKXdSQDxlBdNQxURaXVN1VIYC10d4bKAUMmEaIgjpc0HEZEW1nZBIVdzuV5aoSwi7aTpuo9GW6WHfKXZRxpMFpF20nZBIajewXUXLGLJnCn5gKHppiLSrtouKEDtmsgKBiLSrtoyKED1GgoiIu2q7QaaRUSkMgUFERHJU1AQEZE8BQUREclTUBARkbymSp09VGZ2AHjuOA4xA3hxhC5nPGi3+wXdc7vQPQ/Nq939pKAXxnVQOF5mtqlSTvFW1G73C7rndqF7HjnqPhIRkTwFBRERyWv3oHBboy9gjLXb/YLuuV3onkdIW48piIhIsXZvKYiISAEFBRERyWvLoGBm55vZk2a208yuafT1jAYzm2dmD5rZE2a2zcw+nt1+opn9u5k9lf1zWqOvdSSZWdjMfmlm92V/bun7BTCzqWa21sx2ZH/fZ7XyfZvZn2f/Tm81s2+b2YRWu18z+2cz229mWwu2VbxHM7s2+zx70szedTznbrugYGZh4Fbg3cAi4I/NbFFjr2pUJIFPuPvrgDOBj2bv8xrgAXc/FXgg+3Mr+TjwRMHPrX6/AH8P/MjdTweWkrn/lrxvM5sDXAV0u/sSIAy8n9a7328A55dsC7zH7L/r9wOLs+/5h+xzbljaLigAbwF2uvvT7j4IfAe4qMHXNOLcfZ+7/yL7/StkHhRzyNzrHdnd7gDe25ALHAVmNhe4ALi9YHPL3i+AmU0GzgG+DuDug+5+iNa+7wjQaWYRYCKwlxa7X3f/CfBSyeZK93gR8B13j7v7M8BOMs+5YWnHoDAH2FXw8+7stpZlZguANwCPAjPdfR9kAgdwcgMvbaT9HbAKSBdsa+X7BXgNcAD4l2y32e1m1kWL3re77wH+Bnge2Accdvf7adH7LVHpHkf0mdaOQcECtrXsvFwzmwTcA/yZu7/c6OsZLWZ2IbDf3R9v9LWMsQjwRuAf3f0NwBHGf9dJRdl+9IuAU4DZQJeZXdbYq2q4EX2mtWNQ2A3MK/h5LpnmZ8sxsyiZgPAtd/9udvMLZjYr+/osYH+jrm+ELQdWmNmzZLoEzzWzb9K695uzG9jt7o9mf15LJki06n2/E3jG3Q+4ewL4LvA2Wvd+C1W6xxF9prVjUHgMONXMTjGzDjIDNOsbfE0jzsyMTD/zE+7+pYKX1gNXZr+/Elg31tc2Gtz9Wnef6+4LyPxON7j7ZbTo/ea4+2+BXWb2O9lN5wHbad37fh4408wmZv+On0dmvKxV77dQpXtcD7zfzGJmdgpwKvDzYZ/F3dvuC/h94NfAb4BPNfp6Ruke306mCbkF6Ml+/T4wnczMhaeyf57Y6GsdhXv/XeC+7PftcL/LgE3Z3/W9wLRWvm/gs8AOYCvwr0Cs1e4X+DaZMZMEmZbAh6rdI/Cp7PPsSeDdx3NupbkQEZG8duw+EhGRChQUREQkT0FBRETyFBRERCRPQUFERPIUFEREJE9BQURE8hQUREaQmb3ZzLZkc/x3ZfP+L2n0dYnUS4vXREaYmf0VMAHoJJOX6PMNviSRuikoiIywbE6tx4AB4G3unmrwJYnUTd1HIiPvRGAScAKZFoPIuKGWgsgIM7P1ZNJ3nwLMcvePNfiSROoWafQFiLQSM7sCSLr7v2Xr5P7MzM519w2NvjaReqilICIieRpTEBGRPAUFERHJU1AQEZE8BQUREclTUBARkTwFBRERyVNQEBGRvP8PJziVnOJC7zoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# draw the points again, now with the line\n", "df.plot(kind='scatter',\n", " x='x',\n", " y='y',\n", " title='y en x in the data set')\n", "plt.plot(x, yhat, color='red', linewidth=3)" ] }, { "cell_type": "markdown", "id": "077d7978", "metadata": {}, "source": [ "### Cost function" ] }, { "cell_type": "code", "execution_count": 41, "id": "62838ac9", "metadata": {}, "outputs": [], "source": [ "# calculate the mean squared error given the input parameters.\n", "def mean_squared_error(y_true, y_pred):\n", " s = (y_true - y_pred)**2\n", " return s.mean()" ] }, { "cell_type": "code", "execution_count": 42, "id": "4bea9b4a", "metadata": {}, "outputs": [], "source": [ "# get the x and y values from the dataset\n", "X = df[['x']].values\n", "y_true = df['y'].values" ] }, { "cell_type": "code", "execution_count": 43, "id": "392f50b2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ 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51.83503872, 17.0761107 , 46.56141773, 10.34754461,\n", " 77.91032969, 50.17008622, 13.25690647, 31.32274932,\n", " 73.9308764 , 74.45114379, 52.01932286, 83.68820499,\n", " 70.3698748 , 23.44479161, 49.83051801, 49.88226593,\n", " 41.04525583, 33.37834391, 81.29750133, 105.5918375 ,\n", " 56.82457013, 48.67252645, 67.02150613, 38.43076389,\n", " 58.61466887, 89.12377509, 60.9105427 , 13.83959878,\n", " 16.89085185, 84.06676818, 70.34969772, 33.38474138,\n", " -1.63296825, 88.54475895, 17.44047622, 75.69298554,\n", " 41.97607107, 12.59244741, 0.27530726, 98.13258005,\n", " 87.45721555, -2.34473854, 39.3294153 , 16.68715211,\n", " 96.58888601, 97.70342201, 67.01715955, 25.63476257,\n", " 13.41310757, 95.15647284, 9.74416426, -3.46788379,\n", " 62.82816355, 97.27405461, 95.58017185, 7.46850184,\n", " 45.44599591, 46.69013968, 74.4993599 , 21.63500655,\n", " 91.59548851, 26.49487961, 67.38654703, 74.25362837,\n", " 12.07991648, 21.32273728, 29.31770045, 26.48713683,\n", " 68.94699774, 59.10598995, 64.37521087, 60.20758349,\n", " 70.34329706, 97.1082562 , 75.7584178 , 10.80462727,\n", " 12.11219941, 63.28312382, 98.03017721, 63.19354354,\n", " 34.8534823 , -2.81991397, 59.8313966 , 29.38505024,\n", " 97.00148372, 85.18657275, 61.74063192, 18.84798163,\n", " 78.79008525, 95.12400481, 30.48881287, 10.41468095,\n", " 38.98317436, 46.11021062, 52.45103628, 21.16523945,\n", " 52.28620611, 44.18863945, 97.13832018, 67.22008001,\n", " 18.98322306, 24.3884599 , 79.44769523, 40.03504862,\n", " 53.32005764, 54.55446979, -2.7611826 , 37.80182795,\n", " 57.48741435, 36.06292994, 49.83538167, 74.68953276,\n", " 14.86159401, 101.0697879 , 99.43577876, 91.69240746,\n", " 34.12473248, 6.07939007, 59.07247174, 56.43046022,\n", " 30.49412933, 48.35172635, 89.73153611, 72.86282528,\n", " 80.97144285, 91.36566374, 60.07137496, 99.87382707,\n", " 8.65571417, 69.39858505, 19.38780134, 53.11628433,\n", " 78.39683006, 25.75612514, 75.07484683, 92.88772282,\n", " 69.45498498, 13.12109842, 48.09843134, 79.3142548 ,\n", " 68.48820749, 73.2300846 , 24.68362712, 41.90368917,\n", " 62.22635684, 45.96396877, 23.52647153, 51.80035866,\n", " 51.10774273, 95.79747345, 9.24113898, 7.64652976,\n", " 9.28169975, 103.5266162 , 47.41006725, 42.03835773,\n", " 96.11982476, 38.05766408, 105.4503788 , 88.80306911,\n", " 15.49301141, 12.42624606, 40.00709598, 5.6340309 ,\n", " 87.36938931, 89.73951993, 66.61499643, 72.9138853 ,\n", " 57.19103506, 11.21710477, 0.67607675, 28.15668543,\n", " 95.3958003 , 52.05490703, 59.70864577, 36.79224762,\n", " 37.08457698, 24.18437976, 67.28725332, 82.870594 ,\n", " 89.899991 , 36.94173178, 19.87562242, 90.71481654,\n", " 61.09367762, 60.11134958, 64.83296316, 81.40381769,\n", " 92.40217686, 2.57662538, 63.80768172, 38.67780759,\n", " 16.82839701, 99.78687252, 44.68913433, 71.00377824,\n", " 51.57326718, 19.87846479, 79.50341495, 34.58876491,\n", " 55.7383467 , 68.19721905, 55.81628509, 9.3914168 ,\n", " 56.01448111, 77.9969477 , 55.37049953, 11.89457829,\n", " 94.79081712, 25.69041546, 53.52042319, 18.31396758,\n", " 21.42637785, 30.41303282, 67.68142149, 17.0854783 ,\n", " 60.91792707, 14.99514319, 16.74923937, 41.46923883,\n", " 42.84526108, 59.12912974, 91.30863673, 8.67333636,\n", " 39.31485292, 5.3136862 , 5.40522052, 68.5458879 ,\n", " 47.33487629, 54.09063686, 63.29717058, 52.45946688])" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_true" ] }, { "cell_type": "code", "execution_count": 44, "id": "0806d238", "metadata": {}, "outputs": [], "source": [ "# convert the points of the y values to line points\n", "y_pred = line(X)" ] }, { "cell_type": "code", "execution_count": 45, "id": "aa0ef0f8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " 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[0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0],\n", " [0]], dtype=int64)" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred" ] }, { "cell_type": "code", "execution_count": 46, "id": "55ff0a77", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3464.291087139079" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculate the mean square error for the points\n", "mean_squared_error(y_true, y_pred.ravel())" ] }, { "cell_type": "markdown", "id": "a60e5104", "metadata": {}, "source": [ "### Linear regression with keras" ] }, { "cell_type": "code", "execution_count": 47, "id": "ccde02ca", "metadata": {}, "outputs": [], "source": [ "from tensorflow.keras.models import Sequential\n", "from tensorflow.keras.layers import Dense\n", "from tensorflow.keras.optimizers import Adam, SGD" ] }, { "cell_type": "code", "execution_count": 48, "id": "3c2b554a", "metadata": {}, "outputs": [], "source": [ "model = Sequential()" ] }, { "cell_type": "code", "execution_count": 49, "id": "4da8d3b5", "metadata": {}, "outputs": [], "source": [ "# make a model with 1 layer, 1 output node and 1 input node\n", "model.add(Dense(1, input_shape=(1,)))" ] }, { "cell_type": "code", "execution_count": 50, "id": "afbf17ff", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_1\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_2 (Dense) (None, 1) 2 \n", "=================================================================\n", "Total params: 2\n", "Trainable params: 2\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model.summary()" ] }, { "cell_type": "code", "execution_count": 51, "id": "35dda627", "metadata": {}, "outputs": [], "source": [ "# get the model ready for training\n", "model.compile(Adam(learning_rate=0.8), 'mean_squared_error')" ] }, { "cell_type": "code", "execution_count": 52, "id": "fe11b9d0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/40\n", "10/10 [==============================] - 0s 508us/step - loss: 6149.2983\n", "Epoch 2/40\n", "10/10 [==============================] - 0s 554us/step - loss: 1049.6282\n", "Epoch 3/40\n", "10/10 [==============================] - 0s 554us/step - loss: 455.6070\n", "Epoch 4/40\n", "10/10 [==============================] - 0s 554us/step - loss: 202.8622\n", "Epoch 5/40\n", "10/10 [==============================] - 0s 668us/step - loss: 91.5324\n", "Epoch 6/40\n", "10/10 [==============================] - 0s 665us/step - loss: 33.6845\n", "Epoch 7/40\n", "10/10 [==============================] - 0s 665us/step - loss: 20.1020\n", "Epoch 8/40\n", "10/10 [==============================] - 0s 665us/step - loss: 13.5234\n", "Epoch 9/40\n", "10/10 [==============================] - 0s 665us/step - loss: 11.9283\n", "Epoch 10/40\n", "10/10 [==============================] - 0s 554us/step - loss: 11.6073\n", "Epoch 11/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.5410\n", "Epoch 12/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.4354\n", "Epoch 13/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.1968\n", "Epoch 14/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.7576\n", "Epoch 15/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.6691\n", "Epoch 16/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.5777\n", "Epoch 17/40\n", "10/10 [==============================] - 0s 667us/step - loss: 9.6235\n", "Epoch 18/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.4145\n", "Epoch 19/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.7170\n", "Epoch 20/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.7544\n", "Epoch 21/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.7636\n", "Epoch 22/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.4378\n", "Epoch 23/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.5914\n", "Epoch 24/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.4083\n", "Epoch 25/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.5226\n", "Epoch 26/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.9660\n", "Epoch 27/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.0456\n", "Epoch 28/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.2983\n", "Epoch 29/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.5830\n", "Epoch 30/40\n", "10/10 [==============================] - 0s 665us/step - loss: 10.5801\n", "Epoch 31/40\n", "10/10 [==============================] - 0s 665us/step - loss: 10.0829\n", "Epoch 32/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.4324\n", "Epoch 33/40\n", "10/10 [==============================] - 0s 665us/step - loss: 9.3277\n", "Epoch 34/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.1831\n", "Epoch 35/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.8164\n", "Epoch 36/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.3315\n", "Epoch 37/40\n", "10/10 [==============================] - 0s 554us/step - loss: 10.1487\n", "Epoch 38/40\n", "10/10 [==============================] - 0s 443us/step - loss: 9.5550\n", "Epoch 39/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.2581\n", "Epoch 40/40\n", "10/10 [==============================] - 0s 554us/step - loss: 9.5368\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# start training the model for 40 epochs\n", "model.fit(X, y_true, epochs=40)" ] }, { "cell_type": "code", "execution_count": 53, "id": "a22c9fb1", "metadata": {}, "outputs": [], "source": [ "y_pred = model.predict(X)" ] }, { "cell_type": "code", "execution_count": 54, "id": "9787ea0d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(kind='scatter',\n", " x='x',\n", " y='y',\n", " title='x and y in the dataset, with prediction')\n", "plt.plot(X, y_pred, color='red')" ] }, { "cell_type": "code", "execution_count": 55, "id": "ccaf0068", "metadata": {}, "outputs": [], "source": [ "W, B = model.get_weights()" ] }, { "cell_type": "code", "execution_count": 56, "id": "5e966641", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1.0167854]], dtype=float32)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "W" ] }, { "cell_type": "code", "execution_count": 57, "id": "d7d8eb87", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.43452635], dtype=float32)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B" ] }, { "cell_type": "code", "execution_count": null, "id": "18ef5e31", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "bf431404", "metadata": {}, "source": [ "# Week 5" ] }, { "cell_type": "markdown", "id": "22d4d753", "metadata": {}, "source": [ "## Opdracht 5.1: ZTSL 4: Deep Learning Intro - shallow model" ] }, { "cell_type": "code", "execution_count": 2, "id": "7687f6bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "Opdracht 5.1 b: We hebben een schets gemaakt van hoe wij denken dat het \n", "model er uit zal zien. De code voor het inladen van de foto hebben wij \n", "gehaald uit de practicumomschrijving.\n", "\n", "links zijn de I1 en I2 de inputs. De matrix van v11 en v12 stellen de \n", "weegfactoren voor. In het midden is de sigmoid activatiefunctie te zien, en\n", "rechts is de output te zien.\n", "\"\"\"\n", "\n", "%pylab inline\n", "import matplotlib.pyplot as plt\n", "import matplotlib.image as mpimg\n", "img = mpimg.imread('../data/opdr5-1-b.png')\n", "plt.figure(figsize(20,10))\n", "imgplot = plt.imshow(img)\n" ] }, { "cell_type": "markdown", "id": "dae270aa", "metadata": {}, "source": [ "Opdracht 5.1 c\n", "Op basis van de hoeveelheid lagen, hebben wij geconcludeerd dat het shallow model niet genoeg lagen heeft om een accurate voorstelling te doen van een gegeven aantal inputs. Dit komt omdat het shallow model maar 1 hidden layer heeft." ] }, { "cell_type": "markdown", "id": "ef725144", "metadata": {}, "source": [ "## Opdracht 5.2: ZTDL 4: Deep Learning Intro – deep model" ] }, { "cell_type": "code", "execution_count": 4, "id": "96009d3c", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "Opdracht 5.2 b: We hebben een schets gemaakt van hoe wij denken dat het \n", "model er uit zal zien. De code voor het inladen van de foto hebben wij \n", "gehaald uit de practicumomschrijving.\n", "\n", "Er is te zien dat het model 2 inputs heeft, de eerste laag 4 outputs heeft, \n", "de tweede laag 2 ouputs heeft en de 3e laag 1 output heeft. Ook is te zien\n", "dat de eerste en 2e laag de tanh functie als activatiefunctie hebben, en de\n", "derde laag de sigmoid functie als activatiefunctie gebruikt. De matrices met\n", "de v, w en z waarden stellen de weegfactoren voor.\n", "Dit netwerk heeft 3 lagen.\n", "\n", "(om de foto beter te zien is het aan te raden om in te zoomen)\n", "\"\"\"\n", "\n", "%pylab inline\n", "import matplotlib.pyplot as plt\n", "import matplotlib.image as mpimg\n", "img = mpimg.imread('../data/opdr5-2-b.png')\n", "plt.figure(figsize(20,10))\n", "imgplot = plt.imshow(img)" ] }, { "cell_type": "markdown", "id": "bdf8c103", "metadata": {}, "source": [ "5.2.c: De optimizer die wordt toegepast is de _binary crossentropy_ optimizer.\n", "**wat is de functie van een optimizer:** De weegfactoren aanpassen zodat de loss function geminimaliseerd wordt. [Handige bron over optimizers](https://medium.datadriveninvestor.com/overview-of-different-optimizers-for-neural-networks-e0ed119440c3)" ] }, { "cell_type": "markdown", "id": "6a5e45fa", "metadata": {}, "source": [ "5.2.d: Uit de resultaten van de tests is te zien dat de accuracy van de trainingsset 0.999 (99.9%) is, en van de testset 1.000 (100%). Dit geeft aan dat het model heel goed is in het classificeren van de gevraagde features. De classificatie is dus erg goed." ] }, { "cell_type": "markdown", "id": "9c9689cf", "metadata": {}, "source": [ "5.2.e: Hier is geen sprake van overfitting, aangezien de berekende lijn \n", "(het witte gedeelte tussen de rode en blauwe delen) de scheiding volgt van de twee verschillende punten. Hierbij zitten er dus geen punten tussen die over deze scheiding zitten." ] }, { "cell_type": "markdown", "id": "856dd4b9", "metadata": {}, "source": [ "## Opdracht 5.3: ZTDL 4: Deep Learning Intro – Iris" ] }, { "cell_type": "code", "execution_count": 1, "id": "0689a2bd", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import matplotlib.image as mpimg\n", "import pandas as pd\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "id": "aa4b64dd", "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('../data/iris.csv')" ] }, { "cell_type": "code", "execution_count": 3, "id": "af55003c", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "sns.pairplot(df, hue=\"species\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "f8c01649", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
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34.63.11.50.2setosa
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 8, "id": "af16c550", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'df' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mX\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdrop\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'species'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[0mX\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhead\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'df' is not defined" ] } ], "source": [ "X = df.drop('species', axis=1)\n", "X.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "e15fc002", "metadata": { "scrolled": true }, "outputs": [], "source": [ "target_names = df['species'].unique()\n", "target_names" ] }, { "cell_type": "code", "execution_count": null, "id": "2412d65e", "metadata": {}, "outputs": [], "source": [ "target_dict = {n:i for i, n in enumerate(target_names)}\n", "target_dict" ] }, { "cell_type": "code", "execution_count": null, "id": "247d1005", "metadata": {}, "outputs": [], "source": [ "y= df['species'].map(target_dict)\n", "y.head()" ] }, { "cell_type": "code", "execution_count": null, "id": "5823cc0c", "metadata": {}, "outputs": [], "source": [ "from tensorflow.keras.utils import to_categorical" ] }, { "cell_type": "code", "execution_count": null, "id": "ceffabbc", "metadata": {}, "outputs": [], "source": [ "y_cat = to_categorical(y)" ] }, { "cell_type": "code", "execution_count": null, "id": "c5bc0e0c", "metadata": {}, "outputs": [], "source": [ "y_cat[:10]" ] }, { "cell_type": "code", "execution_count": null, "id": "2426931a", "metadata": {}, "outputs": [], "source": [ "X_train, X_test, y_train, y_test = train_test_split(X.values, y_cat,\n", " test_size=0.2)" ] }, { "cell_type": "code", "execution_count": null, "id": "7009e020", "metadata": {}, "outputs": [], "source": [ "model = Sequential()\n", "model.add(Dense(3, input_shape=(4,), activation='softmax'))\n", "model.compile(Adam(learning_rate=0.1),\n", " loss='categorical_crossentropy',\n", " metrics=['accuracy'])" ] }, { "cell_type": "code", "execution_count": null, "id": "baac0519", "metadata": {}, "outputs": [], "source": [ "model.fit(X_train, y_train, epochs=20, validation_split=0.1)" ] }, { "cell_type": "code", "execution_count": null, "id": "ee18629d", "metadata": {}, "outputs": [], "source": [ "y_pred = model.predict(X_test)" ] }, { "cell_type": "code", "execution_count": null, "id": "5e034507", "metadata": {}, "outputs": [], "source": [ "y_pred[:5]" ] }, { "cell_type": "code", "execution_count": null, "id": "b56fbe7e", "metadata": {}, "outputs": [], "source": [ "y_test_class = np.argmax(y_test, axis=1)\n", "y_pred_class = np.argmax(y_pred, axis=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "8573f46f", "metadata": {}, "outputs": [], "source": [ "from sklearn.metrics import classification_report" ] }, { "cell_type": "code", "execution_count": null, "id": "72765136", "metadata": {}, "outputs": [], "source": [ "print(classification_report(y_test_class, y_pred_class))" ] }, { "cell_type": "code", "execution_count": null, "id": "22b366b5", "metadata": {}, "outputs": [], "source": [ "confusion_matrix(y_test_class, y_pred_class)" ] }, { "cell_type": "code", "execution_count": 5, "id": "ba70bcd3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "Opdracht 5.3 b: We hebben een schets gemaakt van hoe wij denken dat het \n", "model er uit zal zien. De code voor het inladen van de foto hebben wij \n", "gehaald uit de practicumomschrijving.\n", "\n", "Er is te zien dat dit netwerk maar 1 laag heeft, links zijn de inputs te zien\n", "met rechts de activatie functies en de outputs.\n", "\"\"\"\n", "\n", "img = mpimg.imread('../data/opdr5-3-b.png')\n", "plt.figure(figsize(20,10))\n", "imgplot = plt.imshow(img)" ] }, { "cell_type": "markdown", "id": "6042b086", "metadata": {}, "source": [ "# Week 6" ] }, { "cell_type": "markdown", "id": "ea5be5e2", "metadata": {}, "source": [ "## Opdracht 6.1: ZTDL6: Conolutional Neural Networks - MNIST" ] }, { "cell_type": "code", "execution_count": null, "id": "03a13811", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 5 }