From 94f1c61bd40f17a7b622280551354ed3a2dd980d Mon Sep 17 00:00:00 2001 From: Chris Waisi <chris.waisi@student.reutlingen-university.de> Date: Fri, 21 Jun 2024 13:33:09 +0000 Subject: [PATCH] Upload New File --- Landwirtschaft.ipynb | 29528 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 29528 insertions(+) create mode 100644 Landwirtschaft.ipynb diff --git a/Landwirtschaft.ipynb b/Landwirtschaft.ipynb new file mode 100644 index 0000000..d64b124 --- /dev/null +++ b/Landwirtschaft.ipynb @@ -0,0 +1,29528 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "# Analyse der Bewegung und Aktivität freilaufender Rinder" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 1. Business Understanding\n", + "Landwirte geraten immer weiter unter wirtschaftlichen Druck. Beispielsweise kam es durch die Coronapandemie zu teuren logistischen Problemen. Gleichzeitig stellen immer mehr Konsumenten höhere Anforderungen an eine artgerechte Tierhaltung. Diese Marktbedingungen erscheinen für Landwirte problematisch, da letzterer Aspekt natürlich mit gewissen Kosten verbunden ist und ein generelles Umdenken notwendig macht. Durch neue Technologien wie z.B. Künstliche Intelligenz und der Verwendung von Sensoren können die Prozesse effizienter gestaltet und gleichzeitig die Anforderungen des Tierschutzes besser erfüllt werden. Ein Problem der Landwirte ist, dass sie ihre Tiere nicht gezielt bzw. individuell umsorgen können. Das Wissen darüber, welche Aktivitäten z.B. besonderen Einfluss auf die Milchproduktion oder Fleischqualität haben, kann bisher nicht umfänglich erfasst werden. Somit sind auch keine gezielten Maßnahmen zur Förderung bestimmter Aktivitäten möglich. Denkbare Maßnahmen wären die gezielte Motivation zu mehr Bewegung einzelner Tiere oder die Optimierung der Zucht. Bisher ist es jedoch schwierig kontinuierliche Aktivitätsprofile der Tiere zu erstellen. Ein weiteres Problem der Landwirte ist, dass eine frühzeitige Erkennung von Veränderungen des Gesundheitszustandes einzelner Tiere oft nicht möglich ist. Zwar ist die regelmäßige Kontrolle des Zustandes einer Herde rechtlich vorgeschrieben, jedoch können gerade in größeren Betrieben auf Grund der großen Anzahl an Tieren, gesundheitliche Veränderungen erst spät erkannt werden. Oft bleibt im Krankheitsfall nur die Behandlung mit Antibiotika oder anderen teuren Medikamenten. Gewissen Verhaltensänderungen können jedoch frühzeitig erste Hinweise liefern. Gesunde Rinder beispielsweise bewegen sich normalerweise recht viel und reduzieren ihre Aktivität, wenn sie erste Krankheitszeichen entwickeln. Eine frühe Erkennung dieser Bewegungsreduzierung wäre von großer Bedeutung für einen Landwirt. Healthy Cattle plant, zur Lösung der oben genannten Probleme, eine Aktivitätsklassifizierung zur Erstellung von Aktivitätsprofilen und zur frühzeitigen Erkennung von Krankheiten zu entwickeln. Die Hypothese ist, dass mit Hilfe von typischen Sensoren eines Smartphones und der Verwendung eines Machine Learning Algorithmus, die Aktivitäten klassifiziert werden können. Healthy Cattle möchte für die geplante Lösung zunächst testen, ob mit Hilfe von typischen Sensoren eines Smartphones eine ausreichend genaue Klassifizierung von Aktivitäten möglich ist. Um dies möglichst kostengünstig testen zu können, werden für einen ersten Prototypen keine eigenen Daten verwendet, sondern im Internet zugängliche Daten aus einem ähnlichen Setup genutzt." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2. Datenverständnis\n", + "Der Datensatz dieser Hausarbeit stammt von Anguita, Ghio et al. und wurde abgerufen von Kaggle.com unter: https://www.kaggle.com/uciml/human-activity-recognition-with-smartphones. Der Original Datensatz ist auf https://archive.ics.uci.edu/ml/datasets/human+activity+recognition+using+smartphones. In einem Experiment haben 30 Probanden mit einem auf Hüfthöhe befestigten Smartphone einen festgelegten Bewegungsablauf durchgeführt. Dabei wurden mit Hilfe der verbauten Sensoren die linearen Beschleunigungs- und Winkelgeschwindigkeitssignale auf jeweils drei Achsen erfasst. Die einzelnen Datenpunkte wurden je nach Aktivität klassifiziert bzw. gelabelt. Durch verschiedene Filterverfahren wurden diese anschließend von Rauschen befreit und weitere zeit- der frequenzbezogene Features extrahiert. Aus diesen wurden weitere Features wie z.B. Mittelwert, Standardabweichung, Minimal- und Maximalwert, Median usw. berechnet. Das zu Grunde gelegte Machine Learning Problem ist in den Bereich Supervised Learning einzuordnen, da auf gelabelten Daten gelernt wird. Jeder Datenpunkt im Datensatz besitzt eine Reihe von Features - berechnet aus der Sensorwerten - und ein Target - die Aktivitätsklasse. Der zur Verfügung stehende Datensatz besteht aus 10299 Beobachtungen (Observations). Es gibt keine fehlenden Werte und es existieren auch keine Duplikate. Die Anzahl der Features ist sehr groß, was eine umfängliche Analyse der einzelnen Features stark erschwert. Eine grafische Überprüfung auf Multikollinearität mit Hilfe der Korrelationsmatrix ist deshalb nicht sinnvoll. Eine Überprüfung des Variance Inflation Factor (VIF) ergibt, dass sehr viele Features mit einem VIF>10 eine hohe Multikollinearität aufweisen (siehe Tabelle). Eine hohe Multikollinearität hat negative Auswirkungen auf die Interpretierbarkeit der später erstellten Modelle.​\n", + "## 2.1. Import von Relevant Module " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np # standard for data processing\n", + "import pandas as pd # standard for data processing\n", + "\n", + "import plotly.graph_objects as go # creates plots\n", + "import seaborn as sns\n", + "from matplotlib import pyplot as plt\n", + "import plotly.express as px\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.preprocessing import StandardScaler\n", + "#from imblearn.over_sampling import RandomOverSampler\n", + "from statsmodels.stats.outliers_influence import variance_inflation_factor\n", + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "from sklearn.multiclass import OneVsRestClassifier\n", + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.neighbors import KNeighborsClassifier\n", + "from sklearn import svm\n", + "from sklearn.tree import DecisionTreeClassifier\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.metrics import confusion_matrix, classification_report" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Daten Auslesen" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quelle der Daten:\n", + "* Davide Anguita, Alessandro Ghio, Luca Oneto, Xavier Parra und Jorge L. Reyes-Ortiz. Ein gemeinfreier Datensatz zur Erkennung menschlicher Aktivitäten mithilfe von Smartphones. 21. Europäisches Symposium zu künstlichen neuronalen Netzen, Computerintelligenz und maschinellem Lernen, ESANN 2013. Brügge, Belgien, 24.–26. April 2013.\n", + "\n", + "Von Kaggle heruntergeladen:\n", + "https://www.kaggle.com/uciml/human-activity-recognition-with-smartphones" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Es gibt zwei separate Datensätze aus der Testgruppe und der Trainingsgruppe. Zur weiteren Analyse werden diese zunächst noch einmal zusammengefasst. Die Daten werden unabhängig davon, ob sie aus dem Zug- oder Testdatensatz stammen, identifiziert, sodass sie später wieder aufgeteilt werden können." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "df_train = pd.read_csv('https://storage.googleapis.com/ml-service-repository-datastorage/Analysis_of_the_movement_and_activity_of_free-ranging_cattle_test.csv', delimiter=',')" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "df_test = pd.read_csv('https://storage.googleapis.com/ml-service-repository-datastorage/Analysis_of_the_movement_and_activity_of_free-ranging_cattle_test.csv', delimiter=',')" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "df_train['type']='train'" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "df_test['type']='test'" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.concat([df_train, df_test], axis=0).reset_index(drop=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>tBodyAcc-mean()-X</th>\n", + " <th>tBodyAcc-mean()-Y</th>\n", + " <th>tBodyAcc-mean()-Z</th>\n", + " <th>tBodyAcc-std()-X</th>\n", + " <th>tBodyAcc-std()-Y</th>\n", + " <th>tBodyAcc-std()-Z</th>\n", + " <th>tBodyAcc-mad()-X</th>\n", + " <th>tBodyAcc-mad()-Y</th>\n", + " <th>tBodyAcc-mad()-Z</th>\n", + " <th>tBodyAcc-max()-X</th>\n", + " <th>...</th>\n", + " <th>angle(tBodyAccMean,gravity)</th>\n", + " <th>angle(tBodyAccJerkMean),gravityMean)</th>\n", + " <th>angle(tBodyGyroMean,gravityMean)</th>\n", + " <th>angle(tBodyGyroJerkMean,gravityMean)</th>\n", + " <th>angle(X,gravityMean)</th>\n", + " <th>angle(Y,gravityMean)</th>\n", + " <th>angle(Z,gravityMean)</th>\n", + " <th>subject</th>\n", + " <th>Activity</th>\n", + " <th>type</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>0.288585</td>\n", + " <td>-0.020294</td>\n", + " <td>-0.132905</td>\n", + " <td>-0.995279</td>\n", + " <td>-0.983111</td>\n", + " <td>-0.913526</td>\n", + " <td>-0.995112</td>\n", + " <td>-0.983185</td>\n", + " <td>-0.923527</td>\n", + " <td>-0.934724</td>\n", + " <td>...</td>\n", + " <td>-0.112754</td>\n", + " <td>0.030400</td>\n", + " <td>-0.464761</td>\n", + " <td>-0.018446</td>\n", + " <td>-0.841247</td>\n", + " <td>0.179941</td>\n", + " <td>-0.058627</td>\n", + " <td>1</td>\n", + " <td>STANDING</td>\n", + " <td>train</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>0.278419</td>\n", + " <td>-0.016411</td>\n", + " <td>-0.123520</td>\n", + " <td>-0.998245</td>\n", + " <td>-0.975300</td>\n", + " <td>-0.960322</td>\n", + " <td>-0.998807</td>\n", + " <td>-0.974914</td>\n", + " <td>-0.957686</td>\n", + " <td>-0.943068</td>\n", + " <td>...</td>\n", + " <td>0.053477</td>\n", + " <td>-0.007435</td>\n", + " <td>-0.732626</td>\n", + " <td>0.703511</td>\n", + " <td>-0.844788</td>\n", + " <td>0.180289</td>\n", + " <td>-0.054317</td>\n", + " <td>1</td>\n", + " <td>STANDING</td>\n", + " <td>train</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>0.279653</td>\n", + " <td>-0.019467</td>\n", + " <td>-0.113462</td>\n", + " <td>-0.995380</td>\n", + " <td>-0.967187</td>\n", + " <td>-0.978944</td>\n", + " <td>-0.996520</td>\n", + " <td>-0.963668</td>\n", + " <td>-0.977469</td>\n", + " <td>-0.938692</td>\n", + " <td>...</td>\n", + " <td>-0.118559</td>\n", + " <td>0.177899</td>\n", + " <td>0.100699</td>\n", + " <td>0.808529</td>\n", + " <td>-0.848933</td>\n", + " <td>0.180637</td>\n", + " <td>-0.049118</td>\n", + " <td>1</td>\n", + " <td>STANDING</td>\n", + " <td>train</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>0.279174</td>\n", + " <td>-0.026201</td>\n", + " <td>-0.123283</td>\n", + " <td>-0.996091</td>\n", + " <td>-0.983403</td>\n", + " <td>-0.990675</td>\n", + " <td>-0.997099</td>\n", + " <td>-0.982750</td>\n", + " <td>-0.989302</td>\n", + " <td>-0.938692</td>\n", + " <td>...</td>\n", + " <td>-0.036788</td>\n", + " <td>-0.012892</td>\n", + " <td>0.640011</td>\n", + " <td>-0.485366</td>\n", + " <td>-0.848649</td>\n", + " <td>0.181935</td>\n", + " <td>-0.047663</td>\n", + " <td>1</td>\n", + " <td>STANDING</td>\n", + " <td>train</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>0.276629</td>\n", + " <td>-0.016570</td>\n", + " <td>-0.115362</td>\n", + " <td>-0.998139</td>\n", + " <td>-0.980817</td>\n", + " <td>-0.990482</td>\n", + " <td>-0.998321</td>\n", + " <td>-0.979672</td>\n", + " <td>-0.990441</td>\n", + " <td>-0.942469</td>\n", + " <td>...</td>\n", + " <td>0.123320</td>\n", + " <td>0.122542</td>\n", + " <td>0.693578</td>\n", + " <td>-0.615971</td>\n", + " <td>-0.847865</td>\n", + " <td>0.185151</td>\n", + " <td>-0.043892</td>\n", + " <td>1</td>\n", + " <td>STANDING</td>\n", + " <td>train</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "<p>5 rows × 564 columns</p>\n", + "</div>" + ], + "text/plain": [ + " tBodyAcc-mean()-X tBodyAcc-mean()-Y tBodyAcc-mean()-Z tBodyAcc-std()-X \\\n", + "0 0.288585 -0.020294 -0.132905 -0.995279 \n", + "1 0.278419 -0.016411 -0.123520 -0.998245 \n", + "2 0.279653 -0.019467 -0.113462 -0.995380 \n", + "3 0.279174 -0.026201 -0.123283 -0.996091 \n", + "4 0.276629 -0.016570 -0.115362 -0.998139 \n", + "\n", + " tBodyAcc-std()-Y tBodyAcc-std()-Z tBodyAcc-mad()-X tBodyAcc-mad()-Y \\\n", + "0 -0.983111 -0.913526 -0.995112 -0.983185 \n", + "1 -0.975300 -0.960322 -0.998807 -0.974914 \n", + "2 -0.967187 -0.978944 -0.996520 -0.963668 \n", + "3 -0.983403 -0.990675 -0.997099 -0.982750 \n", + "4 -0.980817 -0.990482 -0.998321 -0.979672 \n", + "\n", + " tBodyAcc-mad()-Z tBodyAcc-max()-X ... angle(tBodyAccMean,gravity) \\\n", + "0 -0.923527 -0.934724 ... -0.112754 \n", + "1 -0.957686 -0.943068 ... 0.053477 \n", + "2 -0.977469 -0.938692 ... -0.118559 \n", + "3 -0.989302 -0.938692 ... -0.036788 \n", + "4 -0.990441 -0.942469 ... 0.123320 \n", + "\n", + " angle(tBodyAccJerkMean),gravityMean) angle(tBodyGyroMean,gravityMean) \\\n", + "0 0.030400 -0.464761 \n", + "1 -0.007435 -0.732626 \n", + "2 0.177899 0.100699 \n", + "3 -0.012892 0.640011 \n", + "4 0.122542 0.693578 \n", + "\n", + " angle(tBodyGyroJerkMean,gravityMean) angle(X,gravityMean) \\\n", + "0 -0.018446 -0.841247 \n", + "1 0.703511 -0.844788 \n", + "2 0.808529 -0.848933 \n", + "3 -0.485366 -0.848649 \n", + "4 -0.615971 -0.847865 \n", + "\n", + " angle(Y,gravityMean) angle(Z,gravityMean) subject Activity type \n", + "0 0.179941 -0.058627 1 STANDING train \n", + "1 0.180289 -0.054317 1 STANDING train \n", + "2 0.180637 -0.049118 1 STANDING train \n", + "3 0.181935 -0.047663 1 STANDING train \n", + "4 0.185151 -0.043892 1 STANDING train \n", + "\n", + "[5 rows x 564 columns]" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 3.Datenvorbereitung\n", + "Zunächst wird der Typ der Daten nach dem Einlesen in das Notebook überprüft. Einlesefehler werden entsprechend korrigiert.​\n", + "\n", + "Dimensionalitäts reduktion: entfernte Attribute ohne Beschreibung ​\n", + "\n", + "Fehlende Daten: Zeilen mit fehlenden Daten werden entfernt ​\n", + "\n", + "Dimensionality Reduction: 1 column with the subject id 'subject'-->only for filtering, must be removed​\n", + "\n", + "Spalte mit der Betreff-ID „Betreff“ – nur zum Filtern, muss entfernt werden​\n", + "Missing Data: Kein missing data​\n", + "Unbalanced Data: Oversampling with imblearn.over_sampling.RandomOverSampler​\n", + "Multikollinearität: Alle Features mit einem VIF über 10 werden verworfen (522 Features werden verworfen) Am Ende sind noch 39 Features übrig​" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total number of observations: 10299\n" + ] + } + ], + "source": [ + "print('Total number of observations: ' + str(df.shape[0]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Suchen nach fehlenden Daten" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tBodyAcc-mean()-X 0\n", + "tBodyAcc-mean()-Y 0\n", + "tBodyAcc-mean()-Z 0\n", + "tBodyAcc-std()-X 0\n", + "tBodyAcc-std()-Y 0\n", + " ..\n", + "angle(Y,gravityMean) 0\n", + "angle(Z,gravityMean) 0\n", + "subject 0\n", + "Activity 0\n", + "type 0\n", + "Length: 564, dtype: int64" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.isna().sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.isna().sum().sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "--> **no missing values** in the Data Frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Suchen nach duplikate" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>tBodyAcc-mean()-X</th>\n", + " <th>tBodyAcc-mean()-Y</th>\n", + " <th>tBodyAcc-mean()-Z</th>\n", + " <th>tBodyAcc-std()-X</th>\n", + " <th>tBodyAcc-std()-Y</th>\n", + " <th>tBodyAcc-std()-Z</th>\n", + " <th>tBodyAcc-mad()-X</th>\n", + " <th>tBodyAcc-mad()-Y</th>\n", + " <th>tBodyAcc-mad()-Z</th>\n", + " <th>tBodyAcc-max()-X</th>\n", + " <th>...</th>\n", + " <th>angle(tBodyAccMean,gravity)</th>\n", + " <th>angle(tBodyAccJerkMean),gravityMean)</th>\n", + " <th>angle(tBodyGyroMean,gravityMean)</th>\n", + " <th>angle(tBodyGyroJerkMean,gravityMean)</th>\n", + " <th>angle(X,gravityMean)</th>\n", + " <th>angle(Y,gravityMean)</th>\n", + " <th>angle(Z,gravityMean)</th>\n", + " <th>subject</th>\n", + " <th>Activity</th>\n", + " <th>type</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " </tbody>\n", + "</table>\n", + "<p>0 rows × 564 columns</p>\n", + "</div>" + ], + "text/plain": [ + "Empty DataFrame\n", + "Columns: [tBodyAcc-mean()-X, tBodyAcc-mean()-Y, tBodyAcc-mean()-Z, tBodyAcc-std()-X, tBodyAcc-std()-Y, tBodyAcc-std()-Z, tBodyAcc-mad()-X, tBodyAcc-mad()-Y, tBodyAcc-mad()-Z, tBodyAcc-max()-X, tBodyAcc-max()-Y, tBodyAcc-max()-Z, tBodyAcc-min()-X, tBodyAcc-min()-Y, tBodyAcc-min()-Z, tBodyAcc-sma(), tBodyAcc-energy()-X, tBodyAcc-energy()-Y, tBodyAcc-energy()-Z, tBodyAcc-iqr()-X, tBodyAcc-iqr()-Y, tBodyAcc-iqr()-Z, tBodyAcc-entropy()-X, tBodyAcc-entropy()-Y, tBodyAcc-entropy()-Z, tBodyAcc-arCoeff()-X,1, tBodyAcc-arCoeff()-X,2, tBodyAcc-arCoeff()-X,3, tBodyAcc-arCoeff()-X,4, tBodyAcc-arCoeff()-Y,1, tBodyAcc-arCoeff()-Y,2, tBodyAcc-arCoeff()-Y,3, tBodyAcc-arCoeff()-Y,4, tBodyAcc-arCoeff()-Z,1, tBodyAcc-arCoeff()-Z,2, tBodyAcc-arCoeff()-Z,3, tBodyAcc-arCoeff()-Z,4, tBodyAcc-correlation()-X,Y, tBodyAcc-correlation()-X,Z, tBodyAcc-correlation()-Y,Z, tGravityAcc-mean()-X, tGravityAcc-mean()-Y, tGravityAcc-mean()-Z, tGravityAcc-std()-X, tGravityAcc-std()-Y, tGravityAcc-std()-Z, tGravityAcc-mad()-X, tGravityAcc-mad()-Y, tGravityAcc-mad()-Z, tGravityAcc-max()-X, tGravityAcc-max()-Y, tGravityAcc-max()-Z, tGravityAcc-min()-X, tGravityAcc-min()-Y, tGravityAcc-min()-Z, tGravityAcc-sma(), tGravityAcc-energy()-X, tGravityAcc-energy()-Y, tGravityAcc-energy()-Z, tGravityAcc-iqr()-X, tGravityAcc-iqr()-Y, tGravityAcc-iqr()-Z, tGravityAcc-entropy()-X, tGravityAcc-entropy()-Y, tGravityAcc-entropy()-Z, tGravityAcc-arCoeff()-X,1, tGravityAcc-arCoeff()-X,2, tGravityAcc-arCoeff()-X,3, tGravityAcc-arCoeff()-X,4, tGravityAcc-arCoeff()-Y,1, tGravityAcc-arCoeff()-Y,2, tGravityAcc-arCoeff()-Y,3, tGravityAcc-arCoeff()-Y,4, tGravityAcc-arCoeff()-Z,1, tGravityAcc-arCoeff()-Z,2, tGravityAcc-arCoeff()-Z,3, tGravityAcc-arCoeff()-Z,4, tGravityAcc-correlation()-X,Y, tGravityAcc-correlation()-X,Z, tGravityAcc-correlation()-Y,Z, tBodyAccJerk-mean()-X, tBodyAccJerk-mean()-Y, tBodyAccJerk-mean()-Z, tBodyAccJerk-std()-X, tBodyAccJerk-std()-Y, tBodyAccJerk-std()-Z, tBodyAccJerk-mad()-X, tBodyAccJerk-mad()-Y, tBodyAccJerk-mad()-Z, tBodyAccJerk-max()-X, tBodyAccJerk-max()-Y, tBodyAccJerk-max()-Z, tBodyAccJerk-min()-X, tBodyAccJerk-min()-Y, tBodyAccJerk-min()-Z, tBodyAccJerk-sma(), tBodyAccJerk-energy()-X, tBodyAccJerk-energy()-Y, tBodyAccJerk-energy()-Z, tBodyAccJerk-iqr()-X, ...]\n", + "Index: []\n", + "\n", + "[0 rows x 564 columns]" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[df.duplicated()]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "--> **no duplicated rows** in the data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ziel variable" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have a classification problem and the target column is the \"Activity\" column" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['STANDING', 'SITTING', 'LAYING', 'WALKING', 'WALKING_DOWNSTAIRS',\n", + " 'WALKING_UPSTAIRS'], dtype=object)" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Possible classes/labels\n", + "df['Activity'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<AxesSubplot:>" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['Activity'].value_counts().plot.bar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Im Smart-Farming-Kontext dieser Aufgabe würde ein Rind normalerweise nicht über eine Treppe laufen. Daher werden die Zeilen mit den Bezeichnungen „WALKING_DOWNSTAIRS“ und „WALKING_UPSTAIRS“ entfernt:d:" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "indexNames = df[(df['Activity'] == 'WALKING_DOWNSTAIRS') | (df['Activity'] == 'WALKING_UPSTAIRS')].index\n", + "df.drop(indexNames , inplace=True)\n", + "df = df.reset_index(drop=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<AxesSubplot:>" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['Activity'].value_counts().plot.bar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Für jede Aktivität ungefähr die gleiche Anzahl an Beobachtungen. Wir könnten vor der Modellierung alle Minderheitenklassen überbewerten/ over-sample, um einen perfekt ausgewogenen Datensatz zu erhalten" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Wie viele Beobachtungen gibt es zu jedem Thema?" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "<AxesSubplot:>" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD7CAYAAACRxdTpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAVXUlEQVR4nO3df7DddX3n8efLBCk0iIFcIEIwDBtroV3C9pp2lu7CFkdS3W7ojuwEZ2x03E13FoVaO1uo3UXdpmKn0u2uhZ0oatQizda2pF2tTVNc110kXBCBEDKm/EwT4dYfVccOLfGzf5xvpsdvzrn3nHvvSc798HzMfOd8v5/z/n7P5/vjvr7f+73nnJtSCpKkurzoeHdAkrTwDHdJqpDhLkkVMtwlqUKGuyRVyHCXpAotPd4dAFixYkVZvXr18e6GJC0q991331+XUiZ6PTcW4b569WqmpqaOdzckaVFJ8mS/57wtI0kVMtwlqUKGuyRVyHCXpAoZ7pJUIcNdkipkuEtShQx3SarQWHyIqdvq6/9Xz/YnbnrdMe6JJC1eXrlLUoUMd0mqkOEuSRUy3CWpQoa7JFXIcJekCs0a7kl+IMnuJF9OsifJu5v205LsTPKV5nF51zw3JNmfZF+SK0a5ApKkow1y5f4c8FOllIuAtcD6JD8BXA/sKqWsAXY10yS5ANgIXAisB25JsmQEfZck9TFruJeO7zSTJzRDATYA25r2bcCVzfgG4I5SynOllMeB/cC6hey0JGlmA91zT7IkyQPAs8DOUso9wJmllEMAzeMZTfnZwNNdsx9o2trL3JxkKsnU9PT0PFZBktQ2ULiXUg6XUtYC5wDrkvzIDOXptYgey9xaSpkspUxOTPT8/66SpDka6t0ypZRvAp+jcy/9mSQrAZrHZ5uyA8CqrtnOAQ7Ot6OSpMEN8m6ZiSQvbcZPAl4NPArsADY1ZZuAO5vxHcDGJCcmOQ9YA+xe4H5LkmYwyLdCrgS2Ne94eRGwvZTyJ0nuBrYneQvwFHAVQCllT5LtwCPA88A1pZTDo+m+JKmXWcO9lPIgcHGP9q8Bl/eZZwuwZd69kyTNiZ9QlaQKGe6SVCHDXZIqNHb/Zm8Y/ks+SeptUYf7MIY9EfSq96QhabHwtowkVchwl6QKvWBuy4zSMLdwvN0j6Vjwyl2SKmS4S1KFDHdJqpD33MeY7+OXNFdeuUtShQx3SaqQ4S5JFfKeeyW8Py+pm+H+AuT37Ej187aMJFXIcJekChnuklQhw12SKmS4S1KFfLeMFpTvrJHGg+Gu48YTgTQ6s96WSbIqyV1J9ibZk+S6pv1dSf4qyQPN8NqueW5Isj/JviRXjHIFJElHG+TK/XngHaWU+5OcAtyXZGfz3G+VUn6zuzjJBcBG4ELgZcCfJ3lFKeXwQnZcktTfrFfupZRDpZT7m/FvA3uBs2eYZQNwRynluVLK48B+YN1CdFaSNJih7rknWQ1cDNwDXAK8NcnPAVN0ru6/QSf4v9g12wF6nAySbAY2A5x77rlz6bteQPzuHGk4A78VMsky4FPAL5RSvgXcCpwPrAUOAe8/Utpj9nJUQylbSymTpZTJiYmJYfstSZrBQFfuSU6gE+y/W0r5A4BSyjNdz38Q+JNm8gCwqmv2c4CDC9JbaQBe5UsDhHuSALcBe0spN3e1ryylHGomfxZ4uBnfAdye5GY6f1BdA+xe0F5LC8QTgWo1yJX7JcAbgYeSPNC0/QpwdZK1dG65PAH8PEApZU+S7cAjdN5pc43vlJGkY2vWcC+lfIHe99E/PcM8W4At8+iXNJb84JUWC79bRpIqZLhLUoX8bhlpRLyFo+PJK3dJqpDhLkkV8raMNAa8haOF5pW7JFXIcJekChnuklQhw12SKuQfVKVFxi870yAMd6liw5wIPGnUxdsyklQhr9wlDc2r/PFnuEsaOT+kdex5W0aSKuSVu6Sx4lX+wvDKXZIqZLhLUoUMd0mqkPfcJS1aviWzP8Nd0gvCC+1EYLhLUksNX9vgPXdJqtCs4Z5kVZK7kuxNsifJdU37aUl2JvlK87i8a54bkuxPsi/JFaNcAUnS0Qa5cn8eeEcp5YeBnwCuSXIBcD2wq5SyBtjVTNM8txG4EFgP3JJkySg6L0nqbdZ77qWUQ8ChZvzbSfYCZwMbgMuasm3A54BfbtrvKKU8BzyeZD+wDrh7oTsvSYvNsfoE7lD33JOsBi4G7gHObIL/yAngjKbsbODprtkONG3tZW1OMpVkanp6eg5dlyT1M3C4J1kGfAr4hVLKt2Yq7dFWjmooZWspZbKUMjkxMTFoNyRJAxjorZBJTqAT7L9bSvmDpvmZJCtLKYeSrASebdoPAKu6Zj8HOLhQHZakF4r53MIZ5N0yAW4D9pZSbu56agewqRnfBNzZ1b4xyYlJzgPWALsH6o0kaUEMcuV+CfBG4KEkDzRtvwLcBGxP8hbgKeAqgFLKniTbgUfovNPmmlLK4YXuuCSpv0HeLfMFet9HB7i8zzxbgC3z6JckaR78hKokVchwl6QKGe6SVCHDXZIqZLhLUoUMd0mqkOEuSRUy3CWpQoa7JFXIcJekChnuklQhw12SKmS4S1KFDHdJqpDhLkkVMtwlqUKGuyRVyHCXpAoZ7pJUIcNdkipkuEtShQx3SaqQ4S5JFZo13JN8OMmzSR7uantXkr9K8kAzvLbruRuS7E+yL8kVo+q4JKm/Qa7cPwqs79H+W6WUtc3waYAkFwAbgQubeW5JsmShOitJGsys4V5K+Tzw9QGXtwG4o5TyXCnlcWA/sG4e/ZMkzcF87rm/NcmDzW2b5U3b2cDTXTUHmjZJ0jE013C/FTgfWAscAt7ftKdHbem1gCSbk0wlmZqenp5jNyRJvcwp3Espz5RSDpdSvgd8kH+49XIAWNVVeg5wsM8ytpZSJkspkxMTE3PphiSpjzmFe5KVXZM/Cxx5J80OYGOSE5OcB6wBds+vi5KkYS2drSDJJ4HLgBVJDgA3ApclWUvnlssTwM8DlFL2JNkOPAI8D1xTSjk8kp5LkvqaNdxLKVf3aL5thvotwJb5dEqSND9+QlWSKmS4S1KFDHdJqpDhLkkVMtwlqUKGuyRVyHCXpAoZ7pJUIcNdkipkuEtShQx3SaqQ4S5JFTLcJalChrskVchwl6QKGe6SVCHDXZIqZLhLUoUMd0mqkOEuSRUy3CWpQoa7JFXIcJekChnuklShWcM9yYeTPJvk4a6205LsTPKV5nF513M3JNmfZF+SK0bVcUlSf4NcuX8UWN9qux7YVUpZA+xqpklyAbARuLCZ55YkSxast5Kkgcwa7qWUzwNfbzVvALY149uAK7va7yilPFdKeRzYD6xbmK5KkgY113vuZ5ZSDgE0j2c07WcDT3fVHWjaJEnH0EL/QTU92krPwmRzkqkkU9PT0wvcDUl6YZtruD+TZCVA8/hs034AWNVVdw5wsNcCSilbSymTpZTJiYmJOXZDktTLXMN9B7CpGd8E3NnVvjHJiUnOA9YAu+fXRUnSsJbOVpDkk8BlwIokB4AbgZuA7UneAjwFXAVQStmTZDvwCPA8cE0p5fCI+i5J6mPWcC+lXN3nqcv71G8BtsynU5Kk+fETqpJUIcNdkipkuEtShQx3SaqQ4S5JFTLcJalChrskVchwl6QKGe6SVCHDXZIqZLhLUoUMd0mqkOEuSRUy3CWpQoa7JFXIcJekChnuklQhw12SKmS4S1KFDHdJqpDhLkkVMtwlqUKGuyRVyHCXpAotnc/MSZ4Avg0cBp4vpUwmOQ34PWA18ATwb0op35hfNyVJw1iIK/d/UUpZW0qZbKavB3aVUtYAu5ppSdIxNIrbMhuAbc34NuDKEbyGJGkG8w33AvxZkvuSbG7aziylHAJoHs/oNWOSzUmmkkxNT0/PsxuSpG7zuucOXFJKOZjkDGBnkkcHnbGUshXYCjA5OVnm2Q9JUpd5XbmXUg42j88CfwisA55JshKgeXx2vp2UJA1nzuGe5AeTnHJkHHgN8DCwA9jUlG0C7pxvJyVJw5nPbZkzgT9McmQ5t5dS/jTJvcD2JG8BngKumn83JUnDmHO4l1IeAy7q0f414PL5dEqSND9+QlWSKmS4S1KFDHdJqpDhLkkVMtwlqUKGuyRVyHCXpAoZ7pJUIcNdkipkuEtShQx3SaqQ4S5JFTLcJalChrskVchwl6QKGe6SVCHDXZIqZLhLUoUMd0mqkOEuSRUy3CWpQoa7JFXIcJekChnuklShkYV7kvVJ9iXZn+T6Ub2OJOloIwn3JEuA3wF+GrgAuDrJBaN4LUnS0UZ15b4O2F9KeayU8nfAHcCGEb2WJKklpZSFX2jyemB9KeXfNtNvBH68lPLWrprNwOZm8oeAfT0WtQL46wFfdhxqx6Uf41A7Lv1YbLXj0o9xqB2XfoxDbb/6l5dSJnpWl1IWfACuAj7UNf1G4L/PYTlTi6l2XPoxDrXj0o/FVjsu/RiH2nHpxzjUzqV+VLdlDgCruqbPAQ6O6LUkSS2jCvd7gTVJzkvyYmAjsGNEryVJalk6ioWWUp5P8lbgs8AS4MOllD1zWNTWRVY7Lv0Yh9px6cdiqx2XfoxD7bj0Yxxqh64fyR9UJUnHl59QlaQKGe6SVCHDXZIqVE24Jzn9ePehdknOON59qE2SdUle1YxfkOQXk7y2T+2PJ3lJM35Skncn+eMk70ty6rHs91wl+dgCLefaJKtmr5z36/xks09e0+f5Vya5PMmyVvv61vSLk/xcklc3029I8oEk1yQ5ocdyz0/yS0l+O8n7k/z7Yffxogj3JJ9pTd+UZEUzPpnkMeCeJE8mubRVu75r/NQktyV5MMntSc5s1U4muSvJJ5KsSrIzyd8kuTfJxa3a+5P8apLzF3yF56nfiS7JWUluTfI7SU5P8q4kDyXZnmRlq/a01nA6sDvJ8iSntWpPbfbJo0m+1gx7m7aXzrV2Duu9LMl7kuxp9tt0ki8medOQy3lza/olSd6b5ONJ3tB67pZ59PdG4L8BtyZ5L/ABYBlwfZJ39pjlw8B3m/HfBk4F3te0fWSu/ejTt3mfyJPsaA1/DPzrI9PzXPx/ofMz/3+S/IckvT+lOaQku7vG/x2dfXIKcGNaX4CY5FrgTuBtwMNJur9i5ddbi/4I8DrguiQfp/NBz3uAVwEf6rHc/wH8QPP8SXQ+N3R3kssGXplhPvE0ygH4J32GHwMOtWof6hq/C3hVM/4KWp/iAu7vGv8Q8GvAy4G3A3/Uqt1N58vOrgaeBl7ftF8O3N2qfRz4TeCpZr63Ay+bYf2WAe8B9gB/A0wDXwTe1KP2fuBXgfMH2G43ASua8UngMWA/8CRwaav2T+kciNcDDwK/DJzbtN3Zqv1es47dw983j4+1aj/bLOusrrazmradc63tWqe7gE/QOcB3NtvvXuDiVu2dwJvofGjuF4H/BKwBtgG/PsSx+FRr+lPNdr6Szuc1PgWc2D6+uurXd42fCtzWbO/bgTO7j2M6bxU+GfgW8JKm/STgwR7L3dvruG6mH2hNnwXcSucL/E4H3tW83nZgZav2tNZwOvAEsBw4rVX7EuC9wMeBN7Seu6XHcfwJ4DLg0ubxUDN+aXv9Ztknn2lNf4nOxelrmu07Tef43gSc0qo9tdl/jwJfa4a9TdtL28vtGr8XmGjGf5Cu3Onaf8ua8dXAFHBdeznN9IPN41LgGWBJM532vj5yXDTjJwOfa8bPbS93xm02zAYe5QAcBv6Czg9ye/jbVu2jwNJm/IvtDdM+wGb4AWhPd+/Y9g94e2d1L/efAbcAX236u7nH+g0cPAxx4mC4E91M69feFr/U/LD8aHe/+vRh3wz7dd9ca5u2YU64X25N39s8vgh4tPXcg32Gh4DnZtk27wT+L50Q7BXuA11QtPZH+/h6oMdy/yfw5mb8I8Bk176+t1U7qhP5wCe6Zru/nc4JeW3T9lh7vbrqh7nAa7/WCcC/Aj4JTLeeG+bi48t0TmqnM8PPTzP9SGt6WbPdb+5xzDwMvLhZ9rdpTpp0rs73tmof6tqmy4H7upfTb/sdtT0HLRz10Kz8mj7PPd2afhvwZ8BP0bki+a/APwfeDXy8VXuATpi+g85Vbbqea58x76ZzJXAVnSvfK5v2S3vs6F4/1EuA9cBHejw3TPAMfOJguBPdl7vGf22m2qbtHDqBcjOdX017/mA2++I/8v1XpWc2Pzx/Ptfa5rkvdY3PdsL9f8BPNuM/A3y267n2SeYZYC2d0O0eVgMHW7V7gRe12jbR+S3syR59HuiCgs6v5ScfOQ662k/tc3ydCnwU+Mtm3r9vjun/DVw0xHZr92mYE3l73hlPdK3j6APtvrTqhrnA+9IMyzmpNT3MxccTzTZ9vHk8q2lf1mPd/4LmpNXVthT4GHC41f72ZnlPAtcCu4AP0gnyG1u119E5IW+l8/N95IQ+AXy+37octW6DFo56AF4P/FCf567s0XYZ8Ht0fj17CPg0nW+ZPKFVd2NrOPJr1lnAx1q1F9E5y38GeCWd+5rfpPND/E9btXcMuX7DBM/AJw6GO9G9h+bXyFb7PwJ+f4a+/wydW0hf7fP8cjr3fh8FvgF8nU4gvo+jf60fuLapH+aEexGdK/1vAl84cjw1PxTXtmpvO7I/erzm7a3p3wBe3aNuPfCVHu0DXVDQXJ31mH8FXUHb4/lTmnX9MbpOkq2aUZ3IhzrRtepexwy3xxjuAu8VM71Wq3aoC4o+yzgZOK/HNjurT/0lPdpeRvMbOPBSOpm3rs/8FzbPv3LQ9TxqGXOdcRQDnUC9nFYA0XUP8xjU/vCIlvuPW8Hziqa9V/AMe+K4jN4nuqULtd3o3Af+kVlqXz3gctfxD7ePLqQTgq/ts24Dn3C79t9A/VigY/One9QOfEExqoHRnciHOtEN2eehLvCGWG73BcXX+f4LiuXHYn8cj+G4d6BrB1xL5zvd/4jOr0Ybup5r318bpvZtQy730YVe7gDr/uZjUTuHbTGK2hub8Jii84e5XcB/Bj4PvHM+222Y/Tfk6xyXfT2qYbY+8P0n8pEcmwvd53Fb7jgMx70DXRt5mL88L6raAda9733Ihawdh23BkO8QGdX6jerYXMj9N6rhWB1vx6vP47DccRhG8q2Qc7SklPIdgFLKE837OX8/ycvpvF1oMdeS5ME+6x069/9GXjtkn0dV+3wp5TDw3SR/WUr5VjPf3yb53lErMbr1G8bI9vWojMnxNpRRLXsc9sfxME7h/tUka0spDwCUUr6T5F/S+eDGjy7yWugcRFfQ+SNit9D5Y+uxqB2HbfF3SU4upXyXzh8EO53tfPruqHAf4foNY5T7elTG4Xgb1qiWPQ7749g73r86HBkY4i/Pi622aRvm3Rmjqj3u24Ih3yEyqvUb1bE5bJ9HNYzD8TbKPo/Dcsd98PvcJalCi+K7ZSRJwzHcJalChrskVchwl6QKGe6SVKH/D3A7WxVdhPmIAAAAAElFTkSuQmCC", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['subject'].value_counts().plot.bar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Die obige Abbildung ist interessant. Normalerweise haben alle Probanden den gleichen Versuchsablauf durchgeführt. Daher würden wir erwarten, dass die Anzahl der Beobachtungen von jedem Probanden nahezu gleich sein muss. Es gibt jedoch eine Spanne von 200 bis 300 Beobachtungen über alle Themen hinweg. Ein Grund könnte sein, dass der Übergang von einer Aktivität zur nächsten in der Sequenz nicht scharf oder klar genug war und die Beobachter die unklaren Beobachtungen in diesen instabilen Phasen nachträglich gelöscht hatten. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Gesamtzahl der Beobachtungen" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of observations: 7349\n" + ] + } + ], + "source": [ + "print('Number of observations: ' + str(df.shape[0]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### PCA for Visualisation\n", + "- **Die Hauptkomponentenanalyse ** ist eine einfache Möglichkeit, hochdimensionale Daten in einem niedrigdimensionalen Raum zu visualisieren. (Achtung: Wir zahlen dafür mit einem Informationsverlust -> aber für Visualisierungszwecke ist es in Ordnung)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "data_visualisation = df.drop('subject', axis =1).drop('Activity', axis=1).drop('type', axis =1)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "s = StandardScaler()\n", + "data_visualisation = s.fit_transform(data_visualisation)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "#We want 3 \n", + "p = PCA(n_components = 3)\n", + "data_visualisation_transformed = p.fit_transform(data_visualisation)\n", + "#data_visualisation_transformed = p.transform(data_visualisation)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Features before PCA: 561\n" + ] + } + ], + "source": [ + "print('Features before PCA: ' + str(data_visualisation.shape[1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Features after PCA: 3\n" + ] + } + ], + "source": [ + "print('Features after PCA: ' + str(data_visualisation_transformed.shape[1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.619964301867613" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "p.explained_variance_ratio_.sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x1c5212bc790>]" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = []\n", + "for i in range(0, len(p.explained_variance_ratio_)):\n", + " x.append('PC' + str(i + 1))\n", + "y = np.array(p.explained_variance_ratio_)\n", + "z = np.cumsum(p.explained_variance_ratio_)\n", + "plt.xlabel('Principal Components')\n", + "plt.ylabel('Variance Explained')\n", + "plt.bar(x, y)\n", + "plt.plot(x, z)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1080x432 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#labels 'STANDING', 'SITTING', 'LAYING', 'WALKING'\n", + "\n", + "#fig, ax = plt.subplots()\n", + "plt.figure(figsize=(15,6))\n", + "for activity in df['Activity'].unique():\n", + " filtered_val = data_visualisation_transformed[df['Activity']==activity,:]\n", + " plt.scatter(filtered_val[:,0], filtered_val[:,1], label=activity, s=1.5)\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1080x432 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize = (15, 6))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "\n", + "for activity in df['Activity'].unique():\n", + " filtered_val = data_visualisation_transformed[df['Activity'] == activity, :]\n", + " ax.scatter(\n", + " filtered_val[:, 0], \n", + " filtered_val[:, 1], \n", + " filtered_val[:, 2], \n", + " label = activity, \n", + " s = 4\n", + " )\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "color=STANDING<br>x=%{x}<br>y=%{y}<br>z=%{z}<extra></extra>", + "legendgroup": "STANDING", + "marker": { + "color": "#636efa", + "line": { + "color": 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\"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}}, {\"responsive\": true} ).then(function(){\n", + " \n", + "var gd = document.getElementById('cbd10e54-a31d-4eaa-b7df-8736d9d2a85f');\n", + "var x = new MutationObserver(function (mutations, observer) {{\n", + " var display = window.getComputedStyle(gd).display;\n", + " if (!display || display === 'none') {{\n", + " console.log([gd, 'removed!']);\n", + " Plotly.purge(gd);\n", + " observer.disconnect();\n", + " }}\n", + "}});\n", + "\n", + "// Listen for the removal of the full notebook cells\n", + "var notebookContainer = gd.closest('#notebook-container');\n", + "if (notebookContainer) {{\n", + " x.observe(notebookContainer, {childList: true});\n", + "}}\n", + "\n", + "// Listen for the clearing of the current output cell\n", + "var outputEl = gd.closest('.output');\n", + "if (outputEl) {{\n", + " x.observe(outputEl, {childList: true});\n", + "}}\n", + "\n", + " }) }; }); </script> </div>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "### Interactive 3D-plot with plotly\n", + "\n", + "# representations require a lot of computing power**\n", + "\n", + "si = np.ones(7349)-0.7\n", + "fig = px.scatter_3d(data_visualisation_transformed, \n", + " x=data_visualisation_transformed[:, 0], \n", + " y=data_visualisation_transformed[:, 1], \n", + " z=data_visualisation_transformed[:, 2],\n", + " color=df['Activity'],\n", + " #size=si\n", + " )\n", + "fig.update_traces(marker=dict(size=2.5,line=dict(width=0.05,color='azure')),selector=dict(mode='markers'))\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ergibnis von Visualisation mit PCA\n", + "\n", + "* Nach der PCA / Transformation in 3 Hauptkomponenten können wir die 3 Klassen visuell angemessen trennen. \n", + "* Die 3 Hauptkomponenten beschreiben jedoch nur 62 % der Varianz der Originaldaten. Das bedeutet, dass wir einen relativ großen Informationsverlust haben. \n", + "* Ein zweites Problem besteht darin, dass es schwierig ist, Modelle basierend auf dem Ergebnis einer PCA zu interpretieren\n", + "\n", + "-->wir verwenden die PCA nur zur Visualisierung und nicht zur Modellierung" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Feature overview" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Aus dem Originalpapier über die Daten/Quelle der Daten können wir die Information entnehmen, dass es die folgenden 17 Hauptmerkmale von Zeit- und Frequenzbereichssignalen gibt: " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "|Name|Time|Freq.|\n", + "| --- | --- | --- |\n", + "Body Acc |1| 1\n", + "Gravity Acc |1| 0\n", + "Body Acc Jerk |1 |1\n", + "Body Angular Speed |1 |1\n", + "Body Angular Acc |1 |0\n", + "Body Acc Magnitude |1 |1\n", + "Gravity Acc Mag |1 |0\n", + "Body Acc Jerk Mag |1 |1\n", + "Body Angular Speed Mag |1 |1\n", + "Body Angular Acc Mag |1 |1" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "data_temp = df.drop('subject', axis =1).drop('Activity', axis=1).drop('type', axis =1)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Features: 561\n" + ] + } + ], + "source": [ + "print('Features: ' + str(data_temp.shape[1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "<class 'pandas.core.frame.DataFrame'>\n", + "RangeIndex: 7349 entries, 0 to 7348\n", + "Columns: 561 entries, tBodyAcc-mean()-X to angle(Z,gravityMean)\n", + "dtypes: float64(561)\n", + "memory usage: 31.5 MB\n" + ] + } + ], + "source": [ + "data_temp.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### check for Multicollinearity" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "variables = data_temp\n", + "vif = pd.DataFrame()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 out of 560\n", + "1 out of 560\n", + "2 out of 560\n", + "3 out of 560\n", + "4 out of 560\n", + "5 out of 560\n", + "6 out of 560\n", + "7 out of 560\n", + "8 out of 560\n", + "9 out of 560\n", + "10 out of 560\n", + "11 out of 560\n", + "12 out of 560\n", + "13 out of 560\n", + "14 out of 560\n", + "15 out of 560\n", + "16 out of 560\n", + "17 out of 560\n", + "18 out of 560\n", + "19 out of 560\n", + "20 out of 560\n", + "21 out of 560\n", + "22 out of 560\n", + "23 out of 560\n", + "24 out of 560\n", + "25 out of 560\n", + "26 out of 560\n", + "27 out of 560\n", + "28 out of 560\n", + "29 out of 560\n", + "30 out 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\n", + "# This is very cpu intensive\n", + "\n", + "tempList = list()\n", + "total = variables.shape[1]\n", + "for i in range(total):\n", + " print(i, ' out of ', total-1)\n", + " x = variance_inflation_factor(variables.values, i)\n", + " tempList.append(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "# add name of features to vif dataframe\n", + "vif[\"Features\"] = variables.columns\n", + "\n", + "# add the computed VIF Values to the vif dataframe\n", + "vif[\"VIF\"] = tempList" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>VIF</th>\n", + " <th>Features</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>1.673655e+02</td>\n", + " <td>tBodyAcc-mean()-X</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>2.458447e+01</td>\n", + " <td>tBodyAcc-mean()-Z</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>2.000913e+06</td>\n", + " <td>tBodyAcc-std()-X</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>5.503812e+05</td>\n", + " <td>tBodyAcc-std()-Y</td>\n", + " </tr>\n", + " <tr>\n", + " <th>5</th>\n", + " <td>5.281580e+05</td>\n", + " <td>tBodyAcc-std()-Z</td>\n", + " </tr>\n", + " <tr>\n", + " <th>...</th>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " </tr>\n", + " <tr>\n", + " <th>552</th>\n", + " <td>7.882126e+01</td>\n", + " <td>fBodyBodyGyroJerkMag-skewness()</td>\n", + " </tr>\n", + " <tr>\n", + " <th>553</th>\n", + " <td>1.882061e+02</td>\n", + " <td>fBodyBodyGyroJerkMag-kurtosis()</td>\n", + " </tr>\n", + " <tr>\n", + " <th>558</th>\n", + " <td>1.310881e+03</td>\n", + " <td>angle(X,gravityMean)</td>\n", + " </tr>\n", + " <tr>\n", + " <th>559</th>\n", + " <td>3.877562e+02</td>\n", + " <td>angle(Y,gravityMean)</td>\n", + " </tr>\n", + " <tr>\n", + " <th>560</th>\n", + " <td>2.950325e+02</td>\n", + " <td>angle(Z,gravityMean)</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "<p>522 rows × 2 columns</p>\n", + "</div>" + ], + "text/plain": [ + " VIF Features\n", + "0 1.673655e+02 tBodyAcc-mean()-X\n", + "2 2.458447e+01 tBodyAcc-mean()-Z\n", + "3 2.000913e+06 tBodyAcc-std()-X\n", + "4 5.503812e+05 tBodyAcc-std()-Y\n", + "5 5.281580e+05 tBodyAcc-std()-Z\n", + ".. ... ...\n", + "552 7.882126e+01 fBodyBodyGyroJerkMag-skewness()\n", + "553 1.882061e+02 fBodyBodyGyroJerkMag-kurtosis()\n", + "558 1.310881e+03 angle(X,gravityMean)\n", + "559 3.877562e+02 angle(Y,gravityMean)\n", + "560 2.950325e+02 angle(Z,gravityMean)\n", + "\n", + "[522 rows x 2 columns]" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vif[vif['VIF']>10]" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "#Drop all features with a VIF > 10, as they are correlating to much with other features\n", + "features_to_drop = vif[vif['VIF']>10].Features" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "data_with_important_features = data_temp.drop(features_to_drop, axis = 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th 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<th>min</th>\n", + " <th>25%</th>\n", + " <th>50%</th>\n", + " <th>75%</th>\n", + " <th>max</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>tBodyAcc-mean()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.016299</td>\n", + " <td>0.038629</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.021403</td>\n", + " <td>-0.017029</td>\n", + " <td>-0.012643</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAcc-correlation()-X,Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.024801</td>\n", + " <td>0.360763</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.242409</td>\n", + " <td>-0.058502</td>\n", + " <td>0.172579</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAcc-correlation()-X,Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.185987</td>\n", + " <td>0.338450</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.395440</td>\n", + " <td>-0.171765</td>\n", + " <td>0.020009</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAcc-correlation()-Y,Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.096760</td>\n", + " <td>0.415218</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.187455</td>\n", + " <td>0.138724</td>\n", + " <td>0.405517</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tGravityAcc-correlation()-X,Y</th>\n", + " <td>7349.0</td>\n", + " <td>0.103601</td>\n", + " <td>0.735996</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.665946</td>\n", + " <td>0.231863</td>\n", + " <td>0.851334</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tGravityAcc-correlation()-X,Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.166366</td>\n", + " <td>0.726580</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.879864</td>\n", + " <td>-0.367198</td>\n", + " <td>0.567089</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tGravityAcc-correlation()-Y,Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.075266</td>\n", + " <td>0.735481</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.688232</td>\n", + " <td>0.185269</td>\n", + " <td>0.823623</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAccJerk-mean()-X</th>\n", + " <td>7349.0</td>\n", + " <td>0.077434</td>\n", + " <td>0.108154</td>\n", + " <td>-0.581496</td>\n", + " <td>0.071259</td>\n", + " <td>0.075963</td>\n", + " <td>0.081112</td>\n", + " <td>0.855403</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAccJerk-mean()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>0.009156</td>\n", + " <td>0.124891</td>\n", + " <td>-0.948714</td>\n", + " <td>0.000186</td>\n", + " <td>0.010928</td>\n", + " <td>0.021387</td>\n", + " <td>0.835172</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAccJerk-mean()-Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.003619</td>\n", + " <td>0.113880</td>\n", + " <td>-0.807273</td>\n", + " <td>-0.015246</td>\n", + " <td>-0.001097</td>\n", + " <td>0.012727</td>\n", + " <td>0.735045</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAccJerk-correlation()-X,Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.074377</td>\n", + " <td>0.242017</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.228501</td>\n", + " <td>-0.078196</td>\n", + " <td>0.075621</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAccJerk-correlation()-X,Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.039575</td>\n", + " <td>0.284099</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.145351</td>\n", + " <td>0.062285</td>\n", + " <td>0.232011</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyAccJerk-correlation()-Y,Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.054372</td>\n", + " <td>0.274488</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.127156</td>\n", + " <td>0.042153</td>\n", + " <td>0.222467</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-mean()-X</th>\n", + " <td>7349.0</td>\n", + " <td>-0.028776</td>\n", + " <td>0.074857</td>\n", + " <td>-0.757669</td>\n", + " <td>-0.034259</td>\n", + " <td>-0.027690</td>\n", + " <td>-0.021722</td>\n", + " <td>0.524123</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-mean()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.075976</td>\n", + " <td>0.086467</td>\n", + " <td>-0.851973</td>\n", + " <td>-0.089776</td>\n", + " <td>-0.074841</td>\n", + " <td>-0.062999</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-entropy()-X</th>\n", + " <td>7349.0</td>\n", + " <td>-0.238753</td>\n", + " <td>0.401771</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.550684</td>\n", + " <td>-0.290427</td>\n", + " <td>0.102805</td>\n", + " <td>0.944059</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-entropy()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.205995</td>\n", + " <td>0.364969</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.457364</td>\n", + " <td>-0.209115</td>\n", + " <td>0.067220</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-entropy()-Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.196045</td>\n", + " <td>0.459841</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.563556</td>\n", + " <td>-0.272572</td>\n", + " <td>0.228766</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-correlation()-X,Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.188702</td>\n", + " <td>0.405215</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.483125</td>\n", + " <td>-0.208589</td>\n", + " <td>0.084417</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-correlation()-X,Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.041870</td>\n", + " <td>0.408883</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.220456</td>\n", + " <td>0.018146</td>\n", + " <td>0.302452</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyro-correlation()-Y,Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.168283</td>\n", + " <td>0.440983</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.530728</td>\n", + " <td>-0.177793</td>\n", + " <td>0.150636</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyroJerk-mean()-X</th>\n", + " <td>7349.0</td>\n", + " <td>-0.098036</td>\n", + " <td>0.086125</td>\n", + " <td>-0.968976</td>\n", + " <td>-0.104611</td>\n", + " <td>-0.098272</td>\n", + " <td>-0.092254</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyroJerk-mean()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.041384</td>\n", + " <td>0.083025</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.047188</td>\n", + " <td>-0.040452</td>\n", + " <td>-0.033379</td>\n", + " <td>0.720665</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyroJerk-mean()-Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.055329</td>\n", + " <td>0.087333</td>\n", + " <td>-0.749480</td>\n", + " <td>-0.064313</td>\n", + " <td>-0.054572</td>\n", + " <td>-0.047179</td>\n", + " <td>0.600600</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyroJerk-correlation()-X,Y</th>\n", + " <td>7349.0</td>\n", + " <td>0.017183</td>\n", + " <td>0.278593</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.169257</td>\n", + " <td>0.013469</td>\n", + " <td>0.198487</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyroJerk-correlation()-X,Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.063215</td>\n", + " <td>0.266236</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.106320</td>\n", + " <td>0.057007</td>\n", + " <td>0.226712</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>tBodyGyroJerk-correlation()-Y,Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.111144</td>\n", + " <td>0.262790</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.279851</td>\n", + " <td>-0.112190</td>\n", + " <td>0.051061</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyAcc-meanFreq()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>0.057152</td>\n", + " <td>0.247243</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.099065</td>\n", + " <td>0.053560</td>\n", + " <td>0.228640</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyAcc-meanFreq()-Z</th>\n", + " <td>7349.0</td>\n", + " <td>0.104336</td>\n", + " <td>0.265157</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.069322</td>\n", + " <td>0.118173</td>\n", + " <td>0.288123</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyAccJerk-maxInds-X</th>\n", + " <td>7349.0</td>\n", + " <td>-0.294016</td>\n", + " <td>0.275268</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.480000</td>\n", + " <td>-0.280000</td>\n", + " <td>-0.120000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyAccJerk-maxInds-Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.354530</td>\n", + " <td>0.273795</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.560000</td>\n", + " <td>-0.360000</td>\n", + " <td>-0.200000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyAccJerk-maxInds-Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.261875</td>\n", + " <td>0.274175</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.440000</td>\n", + " <td>-0.280000</td>\n", + " <td>-0.080000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyGyro-meanFreq()-X</th>\n", + " <td>7349.0</td>\n", + " <td>-0.064359</td>\n", + " <td>0.263692</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.229611</td>\n", + " <td>-0.054360</td>\n", + " <td>0.112420</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyGyro-meanFreq()-Y</th>\n", + " <td>7349.0</td>\n", + " <td>-0.168671</td>\n", + " <td>0.274139</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.357676</td>\n", + " <td>-0.174484</td>\n", + " <td>0.018202</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>fBodyGyro-meanFreq()-Z</th>\n", + " <td>7349.0</td>\n", + " <td>-0.013731</td>\n", + " <td>0.263507</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.191156</td>\n", + " <td>-0.019524</td>\n", + " <td>0.161677</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>angle(tBodyAccMean,gravity)</th>\n", + " <td>7349.0</td>\n", + " <td>0.010961</td>\n", + " <td>0.267908</td>\n", + " <td>-0.977973</td>\n", + " <td>-0.074345</td>\n", + " <td>0.008115</td>\n", + " <td>0.096642</td>\n", + " <td>0.977810</td>\n", + " </tr>\n", + " <tr>\n", + " <th>angle(tBodyAccJerkMean),gravityMean)</th>\n", + " <td>7349.0</td>\n", + " <td>0.005884</td>\n", + " <td>0.369485</td>\n", + " <td>-0.979326</td>\n", + " <td>-0.206153</td>\n", + " <td>0.010343</td>\n", + " <td>0.211965</td>\n", + " <td>0.991899</td>\n", + " </tr>\n", + " <tr>\n", + " <th>angle(tBodyGyroMean,gravityMean)</th>\n", + " <td>7349.0</td>\n", + " <td>0.013123</td>\n", + " <td>0.488843</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.344634</td>\n", + " <td>0.010699</td>\n", + " <td>0.381334</td>\n", + " <td>0.994532</td>\n", + " </tr>\n", + " <tr>\n", + " <th>angle(tBodyGyroJerkMean,gravityMean)</th>\n", + " <td>7349.0</td>\n", + " <td>-0.006028</td>\n", + " <td>0.460188</td>\n", + " <td>-1.000000</td>\n", + " <td>-0.359519</td>\n", + " <td>0.001035</td>\n", + " <td>0.335377</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " count mean std min \\\n", + "tBodyAcc-mean()-Y 7349.0 -0.016299 0.038629 -1.000000 \n", + "tBodyAcc-correlation()-X,Y 7349.0 -0.024801 0.360763 -1.000000 \n", + "tBodyAcc-correlation()-X,Z 7349.0 -0.185987 0.338450 -1.000000 \n", + "tBodyAcc-correlation()-Y,Z 7349.0 0.096760 0.415218 -1.000000 \n", + "tGravityAcc-correlation()-X,Y 7349.0 0.103601 0.735996 -1.000000 \n", + "tGravityAcc-correlation()-X,Z 7349.0 -0.166366 0.726580 -1.000000 \n", + "tGravityAcc-correlation()-Y,Z 7349.0 0.075266 0.735481 -1.000000 \n", + "tBodyAccJerk-mean()-X 7349.0 0.077434 0.108154 -0.581496 \n", + "tBodyAccJerk-mean()-Y 7349.0 0.009156 0.124891 -0.948714 \n", + "tBodyAccJerk-mean()-Z 7349.0 -0.003619 0.113880 -0.807273 \n", + "tBodyAccJerk-correlation()-X,Y 7349.0 -0.074377 0.242017 -1.000000 \n", + "tBodyAccJerk-correlation()-X,Z 7349.0 0.039575 0.284099 -1.000000 \n", + "tBodyAccJerk-correlation()-Y,Z 7349.0 0.054372 0.274488 -1.000000 \n", + "tBodyGyro-mean()-X 7349.0 -0.028776 0.074857 -0.757669 \n", + "tBodyGyro-mean()-Y 7349.0 -0.075976 0.086467 -0.851973 \n", + "tBodyGyro-entropy()-X 7349.0 -0.238753 0.401771 -1.000000 \n", + "tBodyGyro-entropy()-Y 7349.0 -0.205995 0.364969 -1.000000 \n", + "tBodyGyro-entropy()-Z 7349.0 -0.196045 0.459841 -1.000000 \n", + "tBodyGyro-correlation()-X,Y 7349.0 -0.188702 0.405215 -1.000000 \n", + "tBodyGyro-correlation()-X,Z 7349.0 0.041870 0.408883 -1.000000 \n", + "tBodyGyro-correlation()-Y,Z 7349.0 -0.168283 0.440983 -1.000000 \n", + "tBodyGyroJerk-mean()-X 7349.0 -0.098036 0.086125 -0.968976 \n", + "tBodyGyroJerk-mean()-Y 7349.0 -0.041384 0.083025 -1.000000 \n", + "tBodyGyroJerk-mean()-Z 7349.0 -0.055329 0.087333 -0.749480 \n", + "tBodyGyroJerk-correlation()-X,Y 7349.0 0.017183 0.278593 -1.000000 \n", + "tBodyGyroJerk-correlation()-X,Z 7349.0 0.063215 0.266236 -1.000000 \n", + "tBodyGyroJerk-correlation()-Y,Z 7349.0 -0.111144 0.262790 -1.000000 \n", + "fBodyAcc-meanFreq()-Y 7349.0 0.057152 0.247243 -1.000000 \n", + "fBodyAcc-meanFreq()-Z 7349.0 0.104336 0.265157 -1.000000 \n", + "fBodyAccJerk-maxInds-X 7349.0 -0.294016 0.275268 -1.000000 \n", + "fBodyAccJerk-maxInds-Y 7349.0 -0.354530 0.273795 -1.000000 \n", + "fBodyAccJerk-maxInds-Z 7349.0 -0.261875 0.274175 -1.000000 \n", + "fBodyGyro-meanFreq()-X 7349.0 -0.064359 0.263692 -1.000000 \n", + "fBodyGyro-meanFreq()-Y 7349.0 -0.168671 0.274139 -1.000000 \n", + "fBodyGyro-meanFreq()-Z 7349.0 -0.013731 0.263507 -1.000000 \n", + "angle(tBodyAccMean,gravity) 7349.0 0.010961 0.267908 -0.977973 \n", + "angle(tBodyAccJerkMean),gravityMean) 7349.0 0.005884 0.369485 -0.979326 \n", + "angle(tBodyGyroMean,gravityMean) 7349.0 0.013123 0.488843 -1.000000 \n", + "angle(tBodyGyroJerkMean,gravityMean) 7349.0 -0.006028 0.460188 -1.000000 \n", + "\n", + " 25% 50% 75% max \n", + "tBodyAcc-mean()-Y -0.021403 -0.017029 -0.012643 1.000000 \n", + "tBodyAcc-correlation()-X,Y -0.242409 -0.058502 0.172579 1.000000 \n", + "tBodyAcc-correlation()-X,Z -0.395440 -0.171765 0.020009 1.000000 \n", + "tBodyAcc-correlation()-Y,Z -0.187455 0.138724 0.405517 1.000000 \n", + "tGravityAcc-correlation()-X,Y -0.665946 0.231863 0.851334 1.000000 \n", + "tGravityAcc-correlation()-X,Z -0.879864 -0.367198 0.567089 1.000000 \n", + "tGravityAcc-correlation()-Y,Z -0.688232 0.185269 0.823623 1.000000 \n", + "tBodyAccJerk-mean()-X 0.071259 0.075963 0.081112 0.855403 \n", + "tBodyAccJerk-mean()-Y 0.000186 0.010928 0.021387 0.835172 \n", + "tBodyAccJerk-mean()-Z -0.015246 -0.001097 0.012727 0.735045 \n", + "tBodyAccJerk-correlation()-X,Y -0.228501 -0.078196 0.075621 1.000000 \n", + "tBodyAccJerk-correlation()-X,Z -0.145351 0.062285 0.232011 1.000000 \n", + "tBodyAccJerk-correlation()-Y,Z -0.127156 0.042153 0.222467 1.000000 \n", + "tBodyGyro-mean()-X -0.034259 -0.027690 -0.021722 0.524123 \n", + "tBodyGyro-mean()-Y -0.089776 -0.074841 -0.062999 1.000000 \n", + "tBodyGyro-entropy()-X -0.550684 -0.290427 0.102805 0.944059 \n", + "tBodyGyro-entropy()-Y -0.457364 -0.209115 0.067220 1.000000 \n", + "tBodyGyro-entropy()-Z -0.563556 -0.272572 0.228766 1.000000 \n", + "tBodyGyro-correlation()-X,Y -0.483125 -0.208589 0.084417 1.000000 \n", + "tBodyGyro-correlation()-X,Z -0.220456 0.018146 0.302452 1.000000 \n", + "tBodyGyro-correlation()-Y,Z -0.530728 -0.177793 0.150636 1.000000 \n", + "tBodyGyroJerk-mean()-X -0.104611 -0.098272 -0.092254 1.000000 \n", + "tBodyGyroJerk-mean()-Y -0.047188 -0.040452 -0.033379 0.720665 \n", + "tBodyGyroJerk-mean()-Z -0.064313 -0.054572 -0.047179 0.600600 \n", + "tBodyGyroJerk-correlation()-X,Y -0.169257 0.013469 0.198487 1.000000 \n", + "tBodyGyroJerk-correlation()-X,Z -0.106320 0.057007 0.226712 1.000000 \n", + "tBodyGyroJerk-correlation()-Y,Z -0.279851 -0.112190 0.051061 1.000000 \n", + "fBodyAcc-meanFreq()-Y -0.099065 0.053560 0.228640 1.000000 \n", + "fBodyAcc-meanFreq()-Z -0.069322 0.118173 0.288123 1.000000 \n", + "fBodyAccJerk-maxInds-X -0.480000 -0.280000 -0.120000 1.000000 \n", + "fBodyAccJerk-maxInds-Y -0.560000 -0.360000 -0.200000 1.000000 \n", + "fBodyAccJerk-maxInds-Z -0.440000 -0.280000 -0.080000 1.000000 \n", + "fBodyGyro-meanFreq()-X -0.229611 -0.054360 0.112420 1.000000 \n", + "fBodyGyro-meanFreq()-Y -0.357676 -0.174484 0.018202 1.000000 \n", + "fBodyGyro-meanFreq()-Z -0.191156 -0.019524 0.161677 1.000000 \n", + "angle(tBodyAccMean,gravity) -0.074345 0.008115 0.096642 0.977810 \n", + "angle(tBodyAccJerkMean),gravityMean) -0.206153 0.010343 0.211965 0.991899 \n", + "angle(tBodyGyroMean,gravityMean) -0.344634 0.010699 0.381334 0.994532 \n", + "angle(tBodyGyroJerkMean,gravityMean) -0.359519 0.001035 0.335377 1.000000 " + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_with_important_features.describe(include='all').transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Feautures')" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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88ssxOjqauBEAAEVXrVZPX7jJssw2WF2q1WqxatUqdxx3Ye/evW35wQcfTNQEoHjq9XrbakorU6F7Bi7AtH7rt36rLf/Lf/kvEzUBAKBX3HzzzZHneURE5Hket9xyS+JGva1SqcS2bdusbunC2ausrLoC+BErU2HuGbgA03riiSfa8uHDhxM1AQCgV+zevbst79q1K1GT/tBsNmPz5s0xPj6eukrPsuoK4NzO/jfRv5HQPQMXAAAA5sSePXs6Zs5PvV6Pffv22eKlC1ZdAZzb6tWr2/JNN92UqAn0DwMXYFpnH5rmEDUAAF7LwMBAx8zMNZvNGBkZiTzPY2RkxCqXWbLqCuDc/uAP/qAtb9++PVET6B8GLsC0fvqnf7otv+td70rUBACAXnHkyJGOmZmr1+sxOTkZERGTk5NWucySM1wAzu3gwYMdM3D+DFyAaS1ZsqQtL168OFETAAB6xbp169rOy1i3bl3iRr3LQcZz4+ztcs7OAAvZypUr2/K1116bqAn0DwMXYFp79+7tmAEA4Gy1Wi3K5XJETN2ws2HDhsSNele1Wj39XJbLZQcZzxFbJQP8iK1AYe4ZuAAAADAnKpVKrF+/PrIsi+Hh4Vi2bFnqSj2rVqu1bSlmeDU7Z9849tBDDyVqAlA83/72t9vyt771rURNoH8YuADTcpcDAACzUavVYtWqVQYEcyDP87bfOX9WCgEAF5KBCzAtB54CADAblUoltm3bZnVLl+r1etvAZefOnYkb9aZarRal0tSlj1KpZBAIAMwrAxdgWqe2LzhXBgCA6TSbzdi8eXOMj4+nrtLT9uzZ0zEzM5VKJYaHh21zBzCNVatWteW3ve1tiZpA/zBwAaZ19mGSDpcEAGAmduzYEd/5znfirrvuSl2lp509GDAomD3b3AFMb3R0tC3v378/URPoHwYuwLRWrFjRlgcHBxM1AQCgVzSbzWg0GhER0Wg0rHLpwhNPPNExA0C3XnrppY4ZOH8GLsC0nn766bb81FNPJWoCAECv2LFjx+mtaCcnJ61yoRDq9Xrs27fPOTgAZ7nssss6ZuD8GbgA01q0aFHHDAAAZ7v//vs7Zmbuoosu6piZmWazGSMjI5HneYyMjFh1BXCGj3/84235V37lVxI1gf5h4AJMy7JSAADOl3MA547vx+dGvV5vW3VllQvAj+zbt68t/9Vf/VWiJtA/DFwAAEim2WzG5s2b3XEMfeJ973tfW167dm2aIn1g5cqVHTMz02g0otVqRUREq9U6fcYQABF79uzpmIHzZ+ACTMvdiQBcCPbVh/6ycePGKJWmfswslUqxcePGxI1618DAQFtevnx5oia9bfXq1W15zZo1iZoAFM/ZX2vOzsD5M3ABpnXppZd2zADQLfvqQ/+pVCqxYsWKiIhYsWJFLFu2LHGj3vXtb3+7LX/rW99K1KS3HT9+vC0fO3YsUROA4jly5EjHDJw/AxdgWkePHu2YAaBb9tWH/tNsNk9frDly5IhBKsk99NBDHTPAQrZu3brTO5pkWRbr1q1L3Ah6Xzl1AaCYyuXy6b2OT2UWru3bt8fo6GjSDgcOHIiIiC1btiTtMTQ0FJs2bUraAfrFdPvqf+ITn0jcCuhGvV6PPM8jIiLP89i5c6e/1yR1arB/rgywkNVqtbj33nvjlVdeiXK5HBs2bEhdCXqeK6jAtM4ctkyXWVhGR0fjr7//aCy7Il2H/OTPxkcOP5qsw/izyR4a+lK1Wo177rknWq1WlMvlqFarqSsBXTJInTuXXnppvPTSS20ZAOZSpVKJ9evXx65du2L9+vW2AoU5YOACTGvlypVx6NCh0/naa69N2IYiWHZFxM0LfHXx7j2pG0B/qdVqMTIyEhFTh2u7ow56n0Hq3Dlz2DJdBoC5UKvV4uDBg74XhzniDBdgWkNDQ235x37sxxI1AaBfVSqVGB4ejizLYnh42B11XWg2m7F582bnZZBcrVaLUmnqx0yD1O5cd911HTMzs2LFio4ZYKGrVCqxbds234vDHDFwAab1jW98o2MGgLlQq9Vi1apVLsp2qV6vx759+2Lnzp2pq7DAGaTOnU9+8pNt+VOf+lSiJr3tM5/5TFv+jd/4jURNAICFwMAFmFaWZR0zAMwFd9R1r9lsxsjISOR5HiMjI1a5kJxB6ty44YYbYuXKlRExtd3v2SvQmZkbbrjh9KqWFStWeB4BgHnlDBdgWi+//HLHDAAUQ71ej8nJyYiImJycjJ07dzqknKRODVLp3sDAQBw6dCiWL1+eukpP+8xnPhNbtmyxugXoO9u3b4/R0dGuPsap83tPDflnY2hoKDZt2tRVD+gXVrgAAEAPazQa0Wq1IiKi1WpFo9FI3AiYC81mM7797W9HRMS3vvUtq9e6cOWVV8b1118fV1xxReoqAIVz7NixOHbsWOoa0DescAEAgB5WrVbjnnvuiVarFeVyOarVaupKwBzYvn37q/KnP/3pRG1625nnXFkBCPSTuVhVsmXLloiI2Lp1a9cfC7DCBTiHSy65pGMGAIqhVqtFqTT1bX2pVHJuBsk1m83YvHmzFRldeuCBB9ry1772tURNeptzrgCAC8nABZhWnucdMwBQDJVKJYaHhyPLshgeHo5ly5alrsQCd+ZqAkitXq/HxMRERERMTEz4vAQA5pUtxYBpvf/974+77767LQMUxVwcDtmNAwcORMSPlt+n4nBKTqnVanHw4EGrW0iu2WzGvffee3o1wYYNGwwBSarRaLQNXBqNhm3FAIB5Y+ACTGv16tVtA5ebbropYRuAdqOjo7Hvrx+NSyppHv/4yUV/B556NE2BiHi5meyhKaBKpRLbtm1LXQOiXq9Hq9WKiIhXXnnFmRldKJVKMTk52ZY5f6tXr4777ruvLQMAzBcDF2BaX/jCF9ry7/3e78WOHTsStQF4tUsqEUM/m6Wukczo3bZ6BIpnz549p7eizfM89uzZY+AyS9VqtW1QUK1WE7bpH1m2cL93AADmn1tkgGkdOnSoYwYAisMh5RTFwMBAx8zMbdy4sS3fdtttiZr0tr1797blhx56KFETAGAhMHABAIAe55ByiuLIkSMdMzNXqVTiPe95T0REvOc973EWziydvYXYmjVrEjUBABYCAxcAAOhhzWYzRkZGTh9SbpULKa1bt+70lk1ZlsW6desSN+ptJ06ciIip83CYnePHj3fMAABzycAFmNbFF1/cMQMAxVCv108frD05OWmVC0nVarUol6eOCi2Xy7Fhw4bEjXpXs9mMhx9+OCIivv71rxumzpItxQCAC8nABZjWsWPHOmYAoBgajUa0Wq2IiGi1WtFoNBI3YiGrVCqxfv36yLIs1q9fbxusLmzfvr1jZmYmJiY6ZgCAuWTgAgAAPaxarbatKKhWq4kbsdDVarVYtWqV1S1devDBB9vyAw88kKgJAAAzVU5dACimiy++uG1Viy3FAKCYarVajIyMREREqVRykZvkKpVKbNu2LXWN5LZv3x6jo6Ozfv88z1+Vt2zZct4fZ2hoKDZt2jTrHgAAzJyBC4XT7Q8mZ5vNDyURfjCxpRgA9IZKpRLDw8Oxa9euGB4etoUTwBlKpdLpc65OZQCA+WLgAgAAPa5Wq8XBgwetboEC6fbmrd/+7d9u20bsve99b3z605/uttaCc+awZboMADCXDFwonG5+MPn5n//5OH78+Ol80UUXxdatW+ei1oJjSzEA6B22cIL+s2nTpraBy0JefQ8A0CuspaWv/O//+//eln/zN38zUZPeZ0sxAABIp1KpxOtf//qImFrdYrtAAIDiM3Chr7zzne88/eeLLroo3v72tydsAwAAMHsrV66MpUuXWt3ShWuuuaYtr1ixIlETAGAhMHCh77zpTW+KCKtburVo0aKOGQAAmF+LFy+O66+/3uqWLrz5zW/umAEA5pKBC33n9a9/fbztbW+zuqVLExMTHTMAAEDRPfLII235G9/4RqImAMBCYOACAAAA9KWBgYGOGQBgLhm4ANOypRgAANDrnnzyyY4ZAGAuGbgA01q7dm3HDAAAUHTLly/vmAEA5pKBCzCtSqXSli29B2A+NJvN2Lx5c4yPj6euAswRf68pEitcAIALycAFmNZ/+S//pS3X6/VETQDoZ/V6Pfbt2xc7d+5MXQWYI/5eUyRn30h2doYLzVAaoL8ZuAAAkESz2YyRkZHI8zxGRkZceIA+0Gw249577/X3msJ44oknOma40AylAfqbgQsAAEnU6/WYnJyMiIjJyUkXHqAP1Ov1aLVaERHxyiuv+HtNchMTEx0zXEhuNgHof0kHLlmW/UyWZT/Ismx/lmWfmub1W7Is+8uTv/ZlWTaRZdmyk6/7uyzLvnPydY9c+PYAAHSj0WicvjDbarWi0WgkbgR0a8+ePZHneURE5Hkee/bsSdwIoDjcbALQ/5INXLIsWxQRX4iImyPiLRHx4SzL3nLm2+R5vjXP85/M8/wnI+LXIuL/zPP8zPH/2pOvv/FC9QYAYG5Uq9Uol8sREVEul6NarSZuBHRrYGCgYwZYyNxsAtD/Uq5w+emI2J/n+Wie5yci4osR8YEOb//hiPjjC9IMiCzLOmYA6FatVotSaerb0VKpFBs2bEjcCOjWkSNHOmaAhczNJgD9L+XAZWVE/PCM/PjJl71KlmWXRsTPRMSfnPHiPCJGsiz7ZpZlH5m3lrBAGbgAMN8qlUoMDw9HlmUxPDwcy5YtS10J6NK6detOf9+YZVmsW7cucSOA4nCzCUD/Szlwme7qbX6Ot/25iHjorO3E1uR5/o6Y2pLsY1mWvXfaB8myj2RZ9kiWZY889dRT3TWGBeTiiy/umAFgLtRqtVi1apULDtAnarVa293b/m4D/IibTQD6X8qBy+MR8YYz8rURMXaOt/1QnLWdWJ7nYyd/PxIRX4qpLcpeJc/zP8zz/MY8z2+8+uqruy4NC8VLL73UMQPAXKhUKrFt2zYXHLrUbDZj8+bNMT4+/tpvzDl5HrtXqVRi/fr1kWVZrF+/3t9tklu6dGnHDBeam00A+lvKgcs3IuLNWZb9WJZlS2JqqPLls98oy7LLI+IfRMSfnfGypVmWve7UnyNiOCL2XZDWsEAsWrSoYwYAimPHjh3xne98J+66667UVXqa53FuuJhIkXz6059uy7/+67+eqAlMcbMJQH8rp3rgPM9bWZZ9PCLujYhFEbEjz/PvZln2yydf//sn3/TWiBjJ8/zoGe++PCK+dHJv4HJE1PM8v+fCtYf+NzEx0TEDAMXQbDaj0WhERESj0YjbbrvNRZxZaDabsWfPnoiI2LNnj+exC6cuJsJc2L59e4yOjs7JxyqVSlGv16Ner5/3+w4NDcWmTZvmpAcA0L9SrnCJPM+/kuf5j+d5fn2e5589+bLfP2PYEnme/4c8zz901vuN5nn+907++olT7wsAAAvNjh07YnJyMiIiJicnrc6YpR07dkSeTx0pmee55xH6yEUXXRQREdddd13iJgBAv0u2wgUAAOje/fff/6q8ZcuWRG16l+dx7jSbzfj85z8ft99+u1VCdG0uVpWc+ru8devWrj8WAEAnSVe4AMU1MDDQMQMAxXBym91zZmbm1Cqhc2Vmrl6vx759+2Lnzp2pqwAAwAVl4AJM68orr2zLlUolURMAoJP3ve99bXnt2rVpivS4UqnUMTMzzWYzRkZGIs/zGBkZifHx8dSVAADggvFTBDCtH/zgB235+9//fqImAEAnGzduPD0cKJVKsXHjxsSNetPZgyqDq9mp1+ttZwpZ5QIAwEJi4AIAAD2sUqlEtVqNiIh169Y5M2OWNm7ceHo7tlKpFLfddlviRr2p0WhEq9WKiIhWqxWNRiNxIwAAuHAMXAAAoMfdeuutcemll8Yv/MIvpK7SsyqVSqxbty4iIqrVqsHVLFWr1SiXyxERUS6XTw8DAQBgITBwAaZ19pktV111VaImAMBr2b17d7z88suxa9eu1FV62qnB1Qc/+MHUVXpWrVZrWym0YcOGxI0AAODCMXABpvXP//k/b8ubN29O1AQA6MQh5XPH4Kp7lUolBgcHIyJixYoVVgoBALCgGLgA0zp7v+377rsvURMAoBOHlM8Ng6u50Ww249ChQxERcejQIc8jAAALioELMK3777+/YwaAudBsNmPz5s0uynbBIeVzw+BqbtTr9ZiYmIiIiImJCc8jAAALioELMK1TPyifKwPAXKjX67Fv3z4XZbvgkPK5YXA1N/bs2RN5nkdERJ7nsWfPnsSNAIrFzSYA/c3ABQCAJGzhNDdqtVqUSlPf1jukfPYMrubGwMBAxwyw0LnZBKC/GbgAAJCELZzmRqVSife+970REfHe977XIeWzZHA1N44cOdIxAyxkbjYB6H8GLgAAJGELp7lz/PjxiIg4ceJE4ia9q1KpxPDwcGRZFsPDwwZXs7Ru3brIsiwiIrIsi3Xr1iVuBFAcbjYB6H8GLgAAJFGtVtsuzNrCaXaazWY89NBDERHx4IMPulu2C7VaLVatWmV1SxdqtdrprdkWL17suQQ4g5tNAPqfgQsAAEncfPPNbYdr33LLLYkb9aYdO3a03S27Y8eOxI16V6VSiW3btlnd0oVKpRLr16+3UghgGs4LA+h/Bi4AACTxpS99qS3/6Z/+aaImve2rX/1qW77//vvTFIGTrBQCmJ7zwgD6n4ELAABJGBTMjVOrhM6V4UKzUghges4LA+h/Bi4AACRhUDA3rrnmmra8YsWKRE1gSrPZjM2bNztPCGAaVgEC9DcDF2Bap5Y5nysDQLcMCubG2Re1m81moiYwpV6vx759+2Lnzp2pqwAUjlWAAP3NFVRgWqcO3z1XBoBuGRTMjXXr1nXMcCE1m8249957I8/zuPfee61yAQBgQTFwAQAgiTVr1rTlm266KVGT3nbzzTe35VtuuSVRE5ha3dJqtSIiotVqWeUCAMCCYuACAEAhOMNldr74xS+25Xq9nqgJROzZs+f03+U8z2PPnj2JGwEAwIVj4AIAQBJ79+7tmJmZBx54oGOGC2lgYKBjBgCAfmbgAgBAEtVqNRYtWhQREYsWLYpqtZq4EQvd/v3749Zbb43R0dHUVXrWkSNHOmYAAOhnBi4AACRRq9XaBi4bNmxI3Kg3XXrppR0zM3fnnXfGSy+9FHfccUfqKj1r3bp1kWVZRERkWRbr1q1L3AgAAC4cAxdgWitXrmzL1157baImAPSrSqUSw8PDkWVZDA8Px7Jly1JX6knHjh3rmJmZ/fv3x8GDByMi4uDBg1a5zFKtVms7w8UgFaBds9mMzZs3x/j4eOoqAMwDAxdgWh/72Mfa8sc//vFETQDoZ7VaLVatWuWibBdOrSY4V2Zm7rzzzrZslcvsPPPMM2352WefTVMEoKDq9Xrs27cvdu7cmboKAPPAwAWYVqPRaMv33XdfoiYA9LNKpRLbtm2zuqULa9eu7ZiZmVOrW86VmRmDK4BzazabMTIyEnmex8jIiFUuAH3IwKVALCulSO6///6OGQDmgu9/urdx48Yolaa+rS+VSnHbbbclbtSbbKc6NwyuAM6tXq/H5ORkRERMTk5a5QLQhwxcCsSyUork1N7b58oAMBd8/9O9SqUS1Wo1IiKq1arVQrM0NDTUMTMz1113XccMsJA1Go1otVoREdFqtV61swQAvc/ApSAsK6Vo7AcPwHzz/c/cufXWW+PSSy+ND37wg6mr9KxvfvObbfmRRx5J1KS3ffSjH23LmzZtStQEoHiq1WqUy+WIiCiXy6dvmACgfxi4FIRlpRTNxMRExwwA3arX66e/vkxMTPj+pwtf/OIX46WXXop6vZ66Ss+qVquxaNGiiIhYtGiRi2CztHfv3rb84IMPJmoCUDy1Wq3t2s+GDRsSNwJgrhm4FIRlpQDAQtNoNNoGLr7/mZ1msxkPPPBAREQ88MADVgrNUq1WO30WzqJFi1wEm6Wz/x77ew0AwEJSTl2AKdVqNe65555otVqWlTIntm/fHqOjo7N+/8suuyxefPHF0/l1r3tdbNmy5bw/ztDQkK0kAJjWO9/5ztODgoiIG2+8MWGb3rV9+/a2/G//7b+Nz3zmM4na9K5KpRIDAwNx6NChGBgYcBbOLK1evTruu+++03nNmjUJ2wAUS71eP71dd5ZlsXPnzvjEJz6RuBUAc8kKl4I48466UqnkjjqSe8Mb3tCWr7322kRNAOhX+/fvb8t/+7d/m6hJbztzaDVdZmaazWaMjY1FRMShQ4esFJojeZ6nrgBQGFb3AvQ/K1wKolKpxPDwcOzatSuGh4fdUUfX5mJVyQc/+MF48cUX493vfnf85m/+5hy0AoAfOXz4cMcMF9KOHTtODwfyPI8dO3bE5s2bE7fqPQ899NCr8mxWSQP0I7ubAPQ/K1wKpFarxapVq6xuoTDe8IY3xNKlS+NXfuVXUlcBAJhXX/3qV9vy/fffn6ZIjxsYGOiYARayWq3WtqWY6z8A/cfApUAqlUps27bN6hYKY/HixXH99df7nARgXrz97W/vmJkZF7jnxtlbX9kKa3aeeOKJjhlgITt1XlhExPLly/2sDdCHDFwAAEji0KFDbfnU+Rmcn2az2TEzM9dcc01bXrFiRaImva1cLnfMAAtZs9k8vYXq2NiY88IA+pCBCwAASRw5cqQtP/nkk4maQLzqopfB1ewcPXq0YwZYyHbs2BGTk5MRETE5ORk7duxI3AiAuWbgAgAAPWzt2rUdMzOzbt26jhkAuuW8MID+Z+ACAEASl1xyScfMzNx6661t+YMf/GCiJr3t5ptvbsu33HJLoia9bdGiRR0zwELmvDCA/mfgAgBAEi46zI0vfelLbflP/uRPEjXpbbt3744syyIiIsuy2LVrV+JGvensFVbVajVRE4DisSoVoP8ZuAAAkMT73//+jpmZOXs7EtuTzE6j0Tg99MvzPBqNRuJGvWnjxo0dM8BCtnHjxiiVpi7FlUqluO222xI3AmCuGbgAAJBErVZrW1GwYcOGxI1606nDd8+VmZlqtRrlcjkiIsrlspUZs/TMM8+05WeffTZNEYACqlQqp7++VKvVWLZsWeJGAMw1AxcAAOhhp+6UPVdmZmq1WttdxwaAs/O5z32uLX/2s59N1ASgmDZu3BhvfetbrW4B6FN+GgMAIIl6vd62hdPOnTsTN+pN9oOfG5VKJYaHhyPLshgeHnbX8SwdOnSoLT/++OOJmgAUU6VSiW3btvk6A9CnDFwAAEhiz549HTMzc+utt7blD37wg4ma9L5arRarVq2yugUAAJgVA5cCaTabsXnz5hgfH09dBQBg3p19Z2elUknUpLft3r277SycXbt2JW7Uu9x1DAAAdMPApUDq9Xrs27fPdhoAwILwxBNPtOXDhw8natLbGo1G29ZsjUYjcSMAAICFycClIJrNZoyMjESe5zEyMmKVCwDQ9yYnJztmZmb16tVtec2aNYmaAAAALGwGLgVRr9dPX2SYnJy0ygUA6HulUqljZmZeeOGFtvz8888nagIAALCw+am2IBqNRrRarYiIaLVatoIAAPreNddc05ZXrFiRqElve/jhhztmuJAMUgEAWMh891sQ1Wo1yuVyRESUy+WoVquJGwEAzK9ms9mWn3766URNgLliq0CAzprNZmzevNlW8gB9ysClIGq12um7v0qlUmzYsCFxIwCA+VWpVDpmuNBcBANgvtXr9di3b5+t5AH6lIFLQVQqlRgeHo4sy2J4eDiWLVuWuhIAwLw6dOhQx8zMvOc97+mYmTkXwQCYT81mM0ZGRiLP8xgZGTHgB+hDBi4FUqvVYtWqVVa3AAAwY5s2bWrL/+yf/bNETXqbi2AAzLd6vX56q8XJyUkDfoA+ZOBSIJVKJbZt22Z1CwAAM1apVOLtb397RES84x3v8L3kLNXr9ZiYmIiIiImJCRfBAJhzjUYjWq1WRES0Wq1oNBqJGwEw1wxcAACgxx0+fDgiIsbGxhI36V2NRqNt4OIi2Oxcc801bXnFihWJmgAUT7VajXK5HBER5XI5qtVq4kYAzDUDFwAAkqhUKh0zM7N///544oknIiLiiSeeiNHR0cSNetPq1as7Zmbmueeea8vPPvtsmiIABVSr1aJUmroUVyqVbCkP0IcMXAAASOItb3lLW/6Jn/iJRE162+c+97m2/NnPfjZRk/6SZVnqCj1p3bp1HTPAQlapVGJ4eDiyLIvh4WHbgAL0oXLqAgCwUGzfvj35necHDhyIiIgtW7Yk7TE0NPSqg75ZeB555JG2/I1vfCNRk9526NChtvz4448natLb9u7d25Yfeuih2Lx5c6I2vatWq8VXvvKVmJycdPc2wDRqtVocPHjQv48AfcrABQAukNHR0fje9x+N1ye8ka2VT/3++JOPJuvw/Hiyh6ZgBgYG4uDBg22Z85dlWeR53pY5f9VqNXbv3h0TExOxaNEi++p3YXJysu13AH6kUqnEtm3bUtcAYJ4YuADABfT6ZRGr16dukdbee1M3oCiOHDnSMTMzP/mTPxnf/va3T+d3vOMdCdv0rlqtFnfffXdERExMTLjzeJZ27NjxqmylEAAAC4UzXAAASGLdunWnV2NkWeash1k6e1D15JNPJmrS25555pm27LD32Wk0Gm15z549iZoAAMCFZ+ACAEAStVotFi1aFBER5XLZioJZcobL3Pjc5z7Xlj/72c8matLbzt5GzLZiAAAsJAYuAAAkUalUYuXKlRERMTg4GMuWJTzgqIdddtllHTMzY3AFAAB0y8AFAIAkms3m6Yvchw4divHx8cSNetMrr7zSMcOFdMkll7TlSy+9NFETAAC48AxcAABIol6vR6vVioiIVqsVO3fuTNyoN1111VUdM1xIx48fb8vHjh1L1AQAAC48A5cCaTabsXnzZnd3AgALwtmHaTtce3aeeOKJjpmZObW93bkyM5PneccMsNC59gPQ3wxcCqRer8e+ffvc3QkALAhnn9niDJfZcUj53PjYxz7Wlj/xiU8katLbSqVSxwyw0Ln2A9DffPdbEM1mM0ZGRiLP8xgZGXGnAwDQ96zMmBtZlnXMzMzevXvb8oMPPpioSW+bmJjomAEWsmazGffee2/keR733nuvaz8AfcjApSDq9frpuxEnJyfd6QAA9D0XZudGtVrtmJmZRqPRMQNAt5xfB9D/DFwKotFotH3R9QMeAAAzsXHjxrZ82223JWrS26rVapTL5YiIKJfLBlcAzLk9e/acPtsqz3Pn1wH0oXLqAkypVqtxzz33RKvV8gMeALAglEqltvNGnPUwO5VKJa6++up46qmnYmBgwFk4s1Sr1eLee++NiKlt2TZs2JC4UTrbt2+P0dHROft4W7ZsmdX7DQ0NxaZNm+asB9Cd/fv3x5YtW+J3fud3YmhoKHWdnjQwMBAHDx5sywD0Fz/VFkStVjt9kaFUKi3oH/AAgIXB2SNzo9lsxlNPPRUREUeOHLEf/CxVKpXTF76WL19ucAVwljvvvDNeeumluOOOO1JX6VlHjhzpmAHofVa4FESlUonh4eHYtWtXDA8P+wEPAOh7znCZG9u3b39V/vSnP52oTe9qNptx+PDhiIgYGxuL8fHxBfs9eTerSj7ykY+03b193XXXxdatW+eiFpDQ/v37T//dPnjwYIyOjlrlMgvr1q2Lu+++uy0D0F+scCmQWq0Wq1atsroFAIAZe+CBB9ry1772tURNetuOHTtOb3E3OTkZO3bsSNyoN33yk59sy5/61KcSNQHm0p133tmWrXKZnZtvvrkt33LLLYmaADBfDFwKpFKpxLZt2xbsnXQAAJDKV7/61bZ8//33pynS42644Ya46KKLImJqdYs74KE/nLlybbrMzOzevfv0FqpZlsWuXbsSNwJgrhm4AACQxKJFizpmuJBOrW45V2bm3vCGN0SpVLK6BfrIdddd1zEzM41GI/I8j4iIPM+j0WgkbgTAXDNwAQAgCQOXufGe97ynLb/3ve9N1KS3nVqVccrFF1+cqEnvu/TSS2PVqlVWt0AfsV3g3KhWq6e/31m0aFFUq9XEjQCYawYuAAAkcfXVV7flgYGBRE1624c+9KG2/OEPfzhRk9728ssvt+WXXnopUROA4rnhhhtOr2qxXeDs1Wq1thUuzvAF6D8GLgAAJPHEE0+05cOHDydq0tu+9KUvteU/+ZM/SdQEgH72yU9+Mi699FKrWwCgg6QDlyzLfibLsh9kWbY/y7JXfcXOsux9WZY9l2XZX5789RszfV8AAIptYmKiY2Zmzj7c3WHvs2PFFUBnN9xwQ3zpS1+yuqUL9Xo9siyLiIgsy2Lnzp2JGwEw15INXLIsWxQRX4iImyPiLRHx4SzL3jLNmz6Q5/lPnvz1L8/zfQEAAF7TU0891ZaPHDmSqAkA/arRaJy+wWRiYiIajUbiRgDMtZQrXH46IvbneT6a5/mJiPhiRHzgArwvAAD0jcWLF3fMAEAxrF69ui2vWbMmURMA5kvKgcvKiPjhGfnxky8729/PsuyvsizbnWXZT5zn+wIAQF87duxYxwwAFMPx48fbsq/ZAP0n5cAlm+Zl+Vn5WxFxXZ7nfy8ifi8i/vt5vO/UG2bZR7IseyTLskfO3iYAAAAAgNfWbDZj8+bNMT4+nrpKz9q7d2/HDEDvSzlweTwi3nBGvjYixs58gzzPn8/z/MWTf/5KRCzOsuyqmbzvGR/jD/M8vzHP8xvPPggTAAAAgNdWr9dj3759DnrvQpZlHTMAvS/lwOUbEfHmLMt+LMuyJRHxoYj48plvkGXZNdnJrz5Zlv10TPVtzuR9AQAAAOhes9mMkZGRyPM8RkZGrHKZpfe9731tee3atWmKADBvkg1c8jxvRcTHI+LeiPh+RPzXPM+/m2XZL2dZ9ssn3+wXI2JflmV/FRH/OiI+lE+Z9n0v/H8FAACkdfYqbqu6AZhr9Xo9JicnIyJicnLSKpdZ2rhxY5RKU5fiSqVSbNy4MXEjAOZayhUukef5V/I8//E8z6/P8/yzJ1/2+3me//7JP/+bPM9/Is/zv5fn+bvzPN/b6X0BAGChKZfLHTMz8653vatjBljIGo1GtFqtiIhotVrRaDQSN+pNlUolqtVqRESsW7culi1blrgRAHMt6cAFAICF6/LLL2/LV1xxRZoiPe7w4cMdM7NjX32AH6lWq6cH+uVy+fTQgPO3cePGeOtb32p1C0CfMnABACCJ5557ri0/++yzaYr0uEWLFnXMzMxf/MVftOWHH344UROA4qnVam1bim3YsCFxo95VqVRi27ZtVrcA9CkDFwAA6GETExMdMzOT53nHDLDQnTlwAQCmZ+ACAAAseEuXLu2YARayHTt2tOW77rorURMAKDYDFwAAYMGzUgjg3O6///6OGQCYYuACAAAseO9///s7ZoCFLMuyjhkAmGLgAgAAPaxUKnXMzMzNN9/clm+55ZZETQCK533ve19bXrt2bZoiAFBwfhoDAIAetmLFio6Zmdm9e3db3rVrV6ImAMVz6623tuVf+IVfSNSk9zWbzdi8eXOMj4+nrgLAPDBwAQCAHtZsNjtmZmbPnj0dM8BC9sUvfrEt//Ef/3GiJr2vXq/Hvn37YufOnamrADAPDFwKxF0OAACcr0ql0pavuuqqRE1628DAQMcMsJA9+OCDbfmBBx5I1KS3NZvNGBkZiTzPY2RkxPUfgD5k4FIg7nIAAOB8PfHEE2358OHDiZr0tiNHjnTMAAtZnucdMzNTr9djcnIyIiImJydd/wHoQwYuBeEuBwBgobn22mvb8hve8IZETXpblmUdMzOzbt26jhlgIVu5cmVbPvtrODPTaDSi1WpFRESr1YpGo5G4EQBzzcClINzlAAAsNE8//XTHzMz8z//z/9yW3/KWtyRq0ttuvvnmtnzLLbckagJQPLfffntb/vSnP52oSW+rVqtRLpcjIqJcLke1Wk3cCIC5ZuBSEO5yAAAWmmPHjrXll19+OVGT3vb973+/LX/3u99N1KS37d69uy3v2rUrUROA4rnhhhtOr3K59tprY2hoKHGj3lSr1U6vRC2VSrFhw4bEjQCYawYuBeEuBwAAZmNiYqJjZmb27NnTMQMsdLfffntceumlVrd0oVKpxODgYERErFixIpYtW5a4EQBzzcClIGq1WpRKU/873OUAAAAX1sDAQMcMsNDdcMMN8aUvfcnqli40m80YGxuLiIixsTHn9wL0IQOXgqhUKjE8PBxZlsXw8LC7HAAA4AI6fPhwxwwA3arX65HneURE5Hnu/F6APmTgUiC1Wi1WrVpldQsAAFxgp85TPFcGWOiazWZs3rzZqowuOL8XoP8ZuBRIpVKJbdu2Wd0CAAAX2OTkZMcMsNDV6/XYt2+fVRldqFarkWVZRERkWeb8XoA+ZOACAAA9rFKptOWrrroqURMA+lWz2YyRkZHI8zxGRkascpmlm2++uW1LsVtuuSVxIwDmmoELAAD0sGaz2ZaffvrpRE0A6Ff1ev30yr/JyUmrXGZp9+7dbXnXrl2JmgAwXwxcAACABW/VqlVt+a1vfWuiJgDF4+yRubFnz56OGYDeZ+ACAAAseFdeeWXHDLCQVavVKJWmLiGVSiVnj8zSwMBAxwxA7zNwAQAAFry9e/e25YceeihRE4DiqdVqbVuKbdiwIXGj3nTkyJGOGYDeZ+ACAAAseBMTEx0zwEL2zDPPtOVnn302TZEet2bNmrZ80003JWoCwHwxcAEAABa8U1vlnCsDLGR33nlnW77jjjsSNekveZ6nrgDAHPNTBAAAsOAtX768YwZYyA4ePNgxMzNnb1dp+0qA/mPgAgAALHj21Qc4t8suu6xjZmaWLVvWliuVSqImAMwXAxcAAOhhWZZ1zADQrVar1TEzM4cPH27LY2NjiZoAMF/KqQsAzKft27fH6Oho0g4HDhyIiIgtW7Yk7TE0NBSbNm1K2gGAuXf2/u/2g5+dK664IprN5ul85ZVXJmwDUCw/9VM/FQ888EBb5vxNTk52zAD0PgMXoK+Njo7GD77/aAxcka5DdvJ76GcOP5qsw5Fnkz00APSEM4ctERFPP/10oiYAxfODH/ygLf/N3/xNoia9rVQqtQ1ZSiUbzwD0GwMXoO8NXBHx4fct7H/u/virlvwDAACzc/a5Vk8++WSiJr3tyiuvbBvwn32mCwC9zygdAABY8JyFA8B8s5oSoP8ZuAAAAAues3AAzu2aa65pyytWrEjUBACKzcAFAAB6mJUZAMy3X//1X2/Lv/Ebv5GoSW9bunRpxwxA7zNwAQCAHnb11Vd3zABAMXz6059uy2cPsgDofQYuAAAksWTJkrZ80UUXJWrS284+yPjsDADd+tznPteWP/vZzyZq0tsuv/zyjhmA3mfgUiDNZjM2b94c4+PjqasAAMy7EydOtOXjx48nagIAdHLo0KG2/Pjjjydq0tvuvPPOtnzHHXckagLAfDFwKZB6vR779u2LnTt3pq4CAAAAwBw6ePBgxwxA7zNwKYhmsxkjIyOR53mMjIxY5QIAAAAUwjXXXNMxMzOXXXZZxwxA7zNwKYh6vR6Tk5MRETE5OWmVCwAAAFAIzz77bMfMzLRarY4ZgN5n4FIQjUbj9BfaVqsVjUYjcSMAAACAiOXLl3fMzMz73//+jhmA3mfgUhDVajXK5XJERJTL5ahWq4kbAQAAAESMjY11zMxMrVZryxs2bEjUBID5YuBSELVaLbIsi4iILMt80QUAAAAKwVZYc+OZZ55py7ZmA+g/Bi4FUalU4qKLLoqIiIsuuiiWLVuWuBEAAABARJ7nHTMzc+edd7blO+64I1ETAOaLgUtB7N+/P1588cWIiHjxxRdjdHQ0cSMAAACAOL0F+rkyM3Pw4MGOGYDeZ+BSEO5yAAAAAIrol3/5l9vyxz72sURNett1113XMQPQ+wxcCsJdDgAAAEAR/d3f/V1bPnDgQJoiPe6Tn/xkW/7Upz6VqAkA88XApSDc5QAAAAAUUaPR6JiZmRtuuOH09Z7rrrsuhoaGEjcCYK4ZuBSEuxwAAACAInrnO9/Zlm+88cZETXrfRz/60SiVSrFp06bUVQCYBwYuBXHDDTfEZZddFhERl112mbscAAAAgEIYHR3tmJm5P/uzP4vJycn47//9v6euAsA8MHApiGazGceOHYuIiOPHj8f4+HjiRgAAAAARhw4dasuPP/54oia9rdlsxsMPPxwREV//+tdd+wHoQwYuBVGv10//Oc/z2LlzZ8I2AAAAAFOWLl3aMTMz/+pf/auOGYDeZ+BSEI1GI1qtVkREtFotB9ABAAAAhXD06NGOmZk5tbrllK9//euJmgAwXwxcCqJarUa5XI6IiHK5HNVqNXEjAAAAAABgpgxcCqJWq0WpNPW/o1QqxYYNGxI3AgAAAAAAZsrApSAqlUq8973vjYiIf/AP/kEsW7YscSMAAACAiIsvvrgtX3LJJYma9LZTN9qeKwPQ+/zLXkB5nqeuAAAAABAREceOHWvLL7/8cqImvW1ycrJjBqD3GbgURLPZjK997WsREfG1r30txsfHEzcCAAAAAABmysClIOr1+uk7GyYnJ2Pnzp2JGwEAAAAwV2wpBtD//MteEI1GI1qtVkREtFqtaDQaiRsBAAAARLznPe/pmJmZNWvWtOWbbropURMA5ouBS0FUq9Uol8sREVEul6NarSZuBAAAAPDqQcF73/veRE0AoNgMXAqiVqudXkpaKpViw4YNiRsBAAAARPze7/1eW/7d3/3dNEV63P/4H/+jLe/duzdREwDmi4FLQVQqlRgeHo4sy2J4eDiWLVuWuhIAAABAHD16tGNmZvI875gB6H0GLgVSq9Vi1apVVrcAAAAA9Jkbb7yxYwag9xm4FEilUolt27ZZ3QIAAAAUxrve9a6OmZl57LHHOmYAep+BCwAAAADn9E/+yT9py//0n/7TNEV63OHDhztmAHqfgQsAAAAA57R79+62vGvXrkRNAKDYDFwAAAAAOKc9e/Z0zMyMrdkA+p+BCwAAAADnNDAw0DEzO1mWpa4AwBwzcAEAAADgnJ588smOmZn5i7/4i7b88MMPJ2oCwHwxcAEAAADgnJYvX94xMzN5nnfMAPQ+AxcAAAAAzumJJ57omAGAKQYuAAAAAJzT2WeNOHsEAKZn4AIAAADAOR07dqxjBgCmGLgAAAAAAAB0ycClQJrNZmzevDnGx8dTVwEAAAAAAM6DgUuB1Ov12LdvX+zcuTN1FQAAAADmULlc7pgB6H0GLgXRbDbj3nvvjTzPY2RkxCoXAAAAgD6yefPmtvwv/sW/SNQEgPli4FIQ9Xo9Wq1WRES88sorVrkAAAAAhbBo0aKOmZl5wxve0JavvfbaRE0AmC8GLgWxZ8+eyPM8IiLyPI89e/YkbgQAAAAQsXbt2rZcrVYTNeltd955Z1u+4447EjUBYL4YuBTEwMBAxwwAAACQwq233tqWf+EXfiFRk9528ODBjhmA3mfgUhBHjhzpmAEAAABS2L17d1vetWtXoia9beXKlW3ZlmIA/SfpwCXLsp/JsuwHWZbtz7LsU9O8fkOWZY+e/LU3y7K/d8br/i7Lsu9kWfaXWZY9cmGbz71169Z1zAAAAAAp3HfffR0zMzM0NNSWf+zHfixREwDmS7KBS5ZliyLiCxFxc0S8JSI+nGXZW856s/9fRPyDPM/fFhG/FRF/eNbr1+Z5/pN5nt8474Xn2c0339yWb7nllkRNAAAAAH6kVCp1zMzMN7/5zY4ZgN6X8ivkT0fE/jzPR/M8PxERX4yID5z5Bnme783z/JmT8esR0bdrLb/0pS+15T/90z9N1AQAAADgR1566aWOmZlZvXp1xwxA70s5cFkZET88Iz9+8mXncltEnLlpaB4RI1mWfTPLso/MQ78L6qtf/Wpbvv/++9MUAQAAADhDlmUdMzPTbDbb8vj4eKImAMyXlAOX6b4659O+YZatjamBy78448Vr8jx/R0xtSfaxLMvee473/UiWZY9kWfbIU0891W3neTM5OdkxAwAAAKTwkz/5k2357W9/e5oiPe7b3/52W/7Wt76VqAkA8yXlwOXxiHjDGfnaiBg7+42yLHtbRPy7iPhAnuenbwXI83zs5O9HIuJLMbVF2avkef6HeZ7fmOf5jVdfffUc1p9bl1xySccMAAAAkMKhQ4fa8uOPP56oCQAUW8qByzci4s1Zlv1YlmVLIuJDEfHlM98gy7I3RsSfRsQ/zvP8b854+dIsy1536s8RMRwR+y5Y83lw9OjRjhkAAAAghSNHjnTMAMCUcqoHzvO8lWXZxyPi3ohYFBE78jz/bpZlv3zy9b8fEb8REZWI+Lcn9wdt5Xl+Y0Qsj4gvnXxZOSLqeZ7fk+A/Y86sWLEiDh8+3JYBAAAAAIDekGzgEhGR5/lXIuIrZ73s98/48/8WEf/bNO83GhF/b94LXkCtVqtjBgAAAAAAiivllmKc4amnnuqYAQAAAFI4ucPIOTMAMCXpChd+JMuyyPO8LQMUxdjYWDz3XMTuPambpNV8NqKVj6WuAQBcANu3b4/R0dGkHQ4cOBAREVu2bEnaY2hoKDZt2pS0A2m5ZgEAM2PgUhA33XRTPPDAA6fze97znoRtAAAAFrbR0dF49K9/EKXKQLIOk/nURe19Tz2TrkPT4ehElMvlOHHiRFsGKAo3SfyImyTS8xWyID70oQ+1DVw+/OEPJ2wD0G5wcDDK2dNx87rUTdLavSdiYMVg6hoAwAVSqgzERT/7odQ1kjp+9xdTV6AAzhy2TJcBUhodHY393/ubeOPr0v28vqS1KCIiTvzwxWQdHnvBjhxFYOBSELt3727Lu3btik984hOJ2gAAAED33HX8I+46plKpRLPZPJ2vuuqqhG2gv7zxdYNx+7s+mrpGUp97+A9SVyAMXAqj0Wi8Khu4AAAA0Mumtmb7m1hUSXfX8WQ+ddfxd59Kd9fxRNNdx0Q8++yzbfmZZ9JtFwjA/DBwKYjVq1fHfffddzqvWbMmYRsAAACYG4sqg7H05xb2yo6jf749dQUKYGJiomMGoPeVUhdgyvHjxztmAAAAAACguAxcCmLv3r1t+aGHHkrUBAAAAOBHFi9e3JaXLFmSqElvK5VKHTMAvc+/7AVhWSkAAABQRK+88kpbPnHiRKImva1SqbTlq666KlETAOaLgUtBZFnWMQMAAADQu5566qm2fOTIkURNAJgvBi4Fked5xwwAAAAAABSXgUtBLFq0qGMGAAAAAACKy8ClINauXduWq9VqoiYAAAAAAMD5MnApiI0bN54+tyXLsti4cWPiRgAAAAARF110UccMAEwxcCmISqUSy5cvj4iI5cuXx7JlyxI3AgAAAIg4fvx4xwwATDFwKYhmsxlPPvlkREQ8+eSTMT4+nrgRAAAAAAAwUwYuBbFjx47I8zwiIvI8j7vuuitxIwAAAAAAYKbKqQsw5f77739V3rJlS6I2AFBsY2Nj8fLzEaN356mrJPNyM2LslbHUNQAAmKFFixbFxMREWwagv1jhUhBZlnXMAAAAAPSuM4ct02UAep8VLgXx9//+348HHnjgdF69enXCNgBQbIODg/Hy4qdj6GcX7g0Ko3fnMXj1YOoaAAAAwElWuBTEiRMnOmYAAAAAAKC4DFwK4i/+4i/a8sMPP5yoCQAAAAAAcL5sKVYQeZ53zL1i+/btMTo6mrTDgQMHIiJiy5YtSXsMDQ3Fpk2bknYAAAAAAODCMHApiJUrV8ahQ4dO52uvvTZhm9kbHR2N/d/7brzx8qXJOiyZeCUiIk4c+rtkHR577miyxwYAAIC5VCqVYnJysi0DAK9m4FIQH/vYx+L2228/nT/+8Y8nbNOdN16+NH7tPatS10jq8w/sS10BAAAA5sSZw5bpMgAwxS0JBbF37962/OCDDyZqAgAAAAAAnC8Dl4LYs2dPxwwAAAAAABSXgUtBDAwMdMwAAAAAAEBxGbgUxOHDhztmAAAAAACguAxcCsIBdAAAAAAA0LsMXAqi1Wp1zAAAAAAAQHEZuAAAAAAAAHTJwKUgSqVSxwwAAAAAABSXq/oFsWTJkrZ80UUXJWoCAAAAAACcr3LqAkw5duxYW3755ZcTNYH+MjY2Fi88F/HHX13Y5yIdeTbi5XwsdQ0AAAAA6FtWuAAAAAAAAHTJCpeCuOaaa+KJJ544nVesWJGwDfSPwcHBeCZ7Oj78voX9z90ff7UVV64YTF0DAAAAAPqWFS4F8eu//utt+Td+4zcSNQEAAAAAAM6XgQsAAAAAAECXDFwK4rd+67fa8m/+5m8magIAAAAAAJwvA5eCOPP8lukyAAAAAABQXAYuAAAAAAAAXTJwKYhLLrmkLV966aWJmgAAAAAAAOfLwKUgJicn2/LExESiJgAAAAAAwPkycCmIa665pmMGAAAAAACKy8ClII4cOdIxAwAAAAAAxWXgUhA33nhjW/6pn/qpRE0AAAAAAIDzZeBSEN/73vfa8ne/+91ETQAAAAAAgPNVTl2AKc1ms2MGAAAAgCLYvn17jI6OJu1w4MCBiIjYsmVLsg5DQ0OxadOmZI8PFI+BCwAAAAAwY6Ojo/E3398f11zxxmQdSpNLIiLi+cMnkjz+E88+luRxgWIzcAEAYFbm487G2dyh6M5CAIAL75or3hi3rft06hrJ3LXns6krAAXkDBcAAAAAAIAuWeECAMCsdLuqZP369a962datW7v6mAAAAJCKFS4AACSxaNGitlwuuxcIAACA3mXgAgBAEl/5ylfa8q5duxI1AQAAgO65jRAAgOSsbgEAAEhn+/btMTo6mrTDgQMHIiJiy5YtSXsMDQ3NegttP9kCACxQRfiGeunSpRERcf311yf9prqbb6gBAAB63ejoaOz/3g/ija+/OlmHJa0sIiJOPD6erMNjzz/V1fsbuAAALFCjo6Px6F/vi7jqooQtTkRExKNP/226Ck8fT/fYAAAABfHG118dn179odQ1kvrs3i929f4GLgAAC9TY2FjqChGXL0ndICIK8lzAHCjCyrV+2AoCAABmw8AFAGAhe2Uy7QqP1uTU7+VSug6vTKZ7bJhjUyvX/jqyZZVkHfI8j4iI7xzpbjuGrjqMN5M9NgAAC5eBCwDAAnXTTTcV5k7466+/PmmPoaGhpI8PcylbVonyz/5s6hpJte6+O3UFAAAWIAMXAIAFqghb7Zzacmjr1q2JmwAAwIVlK9AfsRUo/cLABQCAZB599NGIiPj5n//5+PKXv5y4DQAAXDijo6Pxt9/bH2983RuTdVjSmjpT8fgPTyTr8NgLjyV7bJhrBi4AACR3/HjCc2QApjE2NhaTz78Qx+/+YuoqSU02j8TYKy+nrgHQt974ujfGJ2/8tdQ1krrzkc+nrgBzJuHppAAALGQ/93M/15Z//ud/PlETAAAA6J4VLgAAzEq3e06fONG+bcHx48dntXe0/Z6B+TA4OBjji5+Ji372Q6mrJHX87i/G4NVXpq4BANATDFwAACCh+TgsdaEOrub6uZzt4bH98FwCAADnz8AFAIBZ6faC8vr161/1sq1bt3b1MQEAACAVAxcAAEjI4GrudPNceh4BAIBulVIXAAAAZm9gYKAtX3PNNYma9LYvfOELbXn79u2JmgAAAL3KChcAAOhh//k//+e21Rn/8T/+x4RtetcNN9zQloeGhhI1gf4yNjYWE8+/GEf/fGEPMSeaYzH2ymWpawAA88wKFwAA6HGl0tS39Va3dOeGG26IUqlkdQsAADAr57XCJcuyUkRcluf58/PUBwAAOE+rVq2KCGeOdOvSSy+NVatWWd0Cc2hwcDCeWfxiLP257s6r6nVH/3x7DF5thQsA9LvXXOGSZVk9y7LXZ1m2NCK+FxE/yLJsy/xXAwAAAAAA6A0z2VLsLSdXtPyjiPhKRLwxIv7xfJYCAAAAAADoJTMZuCzOsmxxTA1c/izP81ciIp/XVgAAAAAAAD1kJgOXP4iIv4uIpRHxtSzLrosIZ7gAAAAAAACcVH6tN8jz/F9HxL8+40UHsyxbO3+VAAAAAAAAestrDlyyLFseEZ+LiME8z2/OsuwtEfH3I+Ku+S4HC9n27dtjdHQ0aYcDBw5ERMSWLVuSdRgaGopNmzYle3wAeC2+Zv+Ir9sAAMBC9poDl4j4DxHx7yPi0yfz30TEfwkDF5hXo6Oj8TffezRWXp4l61CemDqu6eih7yR5/EPPOS4KgOIbHR2NR//6exGV16UrkbciIuLRp36YrkPzhXSPDQAAUAAzGbhclef5f82y7NciIvI8b2VZNjHPvYCIWHl5Fh+7aUnqGsl84cETqSsAwMxUXhfln/+p1C2San35G6krAAAAJDWTgcvRLMsqEZFHRGRZ9u6IeG5eWwEAAAuKrdl+xNZsAADQm2YycPl/RsSXI+L6LMseioirI+IX57UVAAD0iLGxsYjnX7DCo/lCjL0yNut3n9qa7fuRVa6Yu07nKc8nIyLiO08dTteh+WyyxwYAALrzmgOXPM+/lWXZP4iI/ykisoj4QZ7nr8zFg2dZ9jMR8a8iYlFE/Ls8z+846/XZydf/w4h4KSL+aZ7n35rJ+wIAAL0lq1wR5Z+rpq6RVOvPG6krAAAAs/SaA5csy/7JWS96R5Zlkef5f+rmgbMsWxQRX4iI/yUiHo+Ib2RZ9uU8z793xpvdHBFvPvnrXRGxPSLeNcP3BQCAeTc4OBhPL55whsuXvxGDVw+mrgEAAJDMTLYUO/Mnx4sjYl1EfCsiuhq4RMRPR8T+PM9HIyKyLPtiRHwgIs4cmnwgIv5Tnud5RHw9y7IrsixbERFvmsH7AgAAAAAAXBAz2VLsE2fmLMsuj4j/PAePvTIifnhGfjymVrG81tusnOH7XnBzfdDnbA/rdMgmAMAF1kx8hstzL039fvml6To0X5g67XGWxsbGIn/+uQW/pVbefDbGXslT1wAAAGZhJitczvZSTG3x1a1smped/ZPFud5mJu879QGy7CMR8ZGIiDe+8Y3n0w8AAF7T0NBQ6gpx4PkDERFx/dVvSFfi6mI8FwBMz02iADD/ZnKGy5/Hj4YZpYh4S0T81zl47Mcj4syfCK+NiLEZvs2SGbxvRETkef6HEfGHERE33njjvN4q1s03DOvXr3/Vy7Zu3dpNHQAALoAiXDQ6ddGrl79/HBwcjObiLMo/V01dJanWnzdi8OoVqWsAAACzMJMVLtvO+HMrIg7mef74HDz2NyLizVmW/VhEHIqID0VE7ay3+XJEfPzkGS3viojn8jw/nGXZUzN4355y7bXXxuOP/+hptRoHAAAAmCtuEgWA+TeTM1z+z/l44DzPW1mWfTwi7o2IRRGxI8/z72ZZ9ssnX//7EfGViPiHEbE/prYy+793et/56Hmh3HXXXW3fwPzRH/1RwjYAAAAAU5YuXRpHjx49nV/3utclbAMAxXXOgUuWZS/E9OeiZBGR53n++m4fPM/zr8TUUOXMl/3+GX/OI+JjM33fbsz1XqbdWLx48az3Qp0L9lMFAAAATvnTP/3TtptE/9t/+28J2wBAcZ1z4JLn+YK6XeHBBx+M8aebcVF5JruszY9yVpr6PY/42+99P0mH461WjI2NGbgAAHDB5c1no/XnjXSP/9yLERGRXX5Zug7NZyOc4QIUmNUtAHBuM54uZFk2EBEXn8p5nj82L40SuqhcjusuX5a6RlIHnxtPXQEAgAVoaGgodYU48PyBiIi4PuXA4+oVhXguAM72tre9LSKc3QIAnbzmwCXLsp+PiN+JiMGIOBIR10XE9yPiJ+a32oU1ODgY+599LmmHJ4++EBERy5emu1ski6nnAgAALqQirLA+ta2vi4lA0RRhG/QDB6aG0im3QI9Ivw36XP+/mO3zmfp5AGB6M1nh8lsR8e6IuC/P87dnWbY2Ij48v7UuvCLcRXbiwNQWBktWLk/W4YaVywvxXAAAMHPf+973otVqxS/90i/FH/3RH6WuA8AcGx0dje/+9d/GZZU3JuvwSr4kIiIOPnU8WYcXm3232QoAfWYmA5dX8jxvZllWyrKslOf5/VmW/b/nvdkFVoS7Ak4dQPfoo4/Gvffem7gNAAC9otVqRUTEY4+5EAXQj8bGxlJXiEsuH0hdISLSPxfdXD86dd3nTFZVAvSX0gze5tksyy6LiAciYmeWZf8qIlrzWwsAAJiJ2267rS3/0i/9UqImAEAnK1a0nxG2cuXKRE0AmC8zWeHytYi4IiJ+JSL+bxFxeUT8y3nstCCdfZfD+vXrrXIBAFgAut0L/vHHH2/Ljz322Kz2g7cXPEBxDQ4OxiuLj8ff+8Cvpa6S1F/92edj8OqLUteYtf/wH/5D2/WfHTt2JGwDwHyYycAli4h7I2I8Ir4YEf8lz/PmvLbqUQ5OAwAAAObDi83H4q/+7PPJHv/l545ERNqtxV5sPhZx9ZuTPf5cWLRoUUxMTFjdAtCnXnPgkuf5b0bEb2ZZ9raI+L9GxP+ZZdnjeZ6/f97bAQBAn+v2Rhn7wQP0v6GhodQV4sDzJyIi4rqUK0yufnMhnotu/MRP/ERE+FoN0K9mssLllCMR8URENCOiGCelFYyD0wAAAIC5VoRdLE7twuFaBQCcW+m13iDLsk1Zln01IvZExFUR8Ut5nr9tvosBAAAAAAD0ipmscLkuIn41z/O/nOcuAAAAABTQo48+GhFTO3Tce++9idsAQDG95gqXPM8/ZdgCAAD0u4MHD8ajjz4av/u7v5u6CgAA0INec+ACAACwEDz33HMREbF79+7ETQCK5exzZ6c7hxYAmNmWYgAAAH3td37nd9ry7/7u78av/uqvpikDMA+2b98eo6Ojc/bxtmzZMqv3Gxoaik2bNs1ZDwAoEgMXAACgL3RzMfHU2QSn7N69Ow4dOjSrj+ViIgAALEwGLsypsbGxOPrc0fj8A/tSV0nq4HNHY2k2lroGAAAARER0NQiebguxrVu3dlMHAPqSgQsAANAXXEwEoJO53lZtNg4cOBARs9+Sba5YjQkwPwxcmFODg4NxIj8Rv/aeVamrJPX5B/bFksHB1DUAAACAk0ZHR+Ov/3p/XLXsunQl8iUREfH0kVeSVXh6/GCyxwbodwYuAAAAACwIVy27Lj7ws59JXSOpP7v7t1NXAOhbpdQFAAAAAAAAep2BCwAAAAAAQJdsKQYAAABA3xsbG4vnn3tpwW+p9XTzYJxoXZq6BkBfMnABAADoE2NjY5E/93y07r47dZWk8mYzxlrpDqQGAGBhMnABAAAAoO8NDg7GkvIr8YGf/UzqKkn92d2/HVcNLE5dA6AvGbgAAAD0icHBwWiWF0f5Z382dZWkWnffHYMDV6euAQDAAlNKXQAAAAAAAKDXWeECAAAAwILw9PjB+LO7fzvZ4z/3/BMREXH5669J1uHp8YNx1cANyR4foJ8ZuAAAAADQ94aGhlJXiOdeOBERkfQMlasGbijEcwHQjwxcAAAAAOh7mzZtSl0htmzZEhERW7duTdwEgPngDBcAAAAAAIAuGbgAAAAAAAB0ycAFAAAAAACgSwYuAAAAAAAAXTJwAQAAAAAA6JKBCwAAAAAAQJcMXAAAAAAAALpk4AIAAAAAANAlAxcAAAAAAIAuGbgAAAAAwAXw6KOPxqOPPhq/+Iu/mLoKAPPAwAUAAAAALqAXXnghdQUA5kE5dQGmXHrppfHSSy+1ZQAAAOh1E82xOPrn25M9/uRzT0dEROnyq5J1mGiORVz948ken2L4hV/4hbb8i7/4i/Hf/tt/S9QGgPlg4FIQk5OTHTMAAAD0mqGhodQV4sDzT0ZExPVXX5auxNU/Xojngu5t3749RkdHZ/W+R48ebcsvvPBCbNmyZVYfa2hoKDZt2jSr9wVg/hi4FMRNN90U9913X1sGAACAXlaEC8KnLmhv3bo1cRMAoN8ZuBRUlmWpKwAAAABwhm6GiOvXr3/VywwCAfpLKXUBpuzdu7ctP/TQQ4maAAAAAAAA58vApSCq1WqUy1MLjsrlclSr1cSNAAAAAACAmTJwKYharRal0tT/jlKpFBs2bEjcCAAAAAAAmClnuBREpVKJ4eHh2LVrVwwPD8eyZctSVwIAAFjQJptH4vjdX0z3+M89ExERpcuvTNeheSTi6nSPDwDQSwxcCqRWq8XBgwetbgEAAEhsaGgodYU48Px4RERcn3LgcfWVhXguAAB6gYFLgTzzzDNx4MCBePbZZ61wAQAASGjTpk2pK8SWLVsiImLr1q2JmwAAMBPOcCmQO++8M1566aW44447UlcBAAAAAADOg4FLQezfvz8OHjwYEREHDx6M0dHRxI0AAAAAAICZMnApiDvvvLMtW+UCAAAAAAC9w8ClIE6tbjlXBgAAAAAAisvApSCuu+66jhkAAAAAACguA5eC+OQnP9mWP/WpTyVqAgAAAAAAnC8Dl4K44YYbTq9que6662JoaChxIwAAAAAAYKbKqQvwIx/96EfjM5/5TGzatCl1FQpgbGwsXnwujy88eCJ1lWQOPZfHZdlY6hoAAAAAAK/JCpcC2bt3b+R5Hg8++GDqKgAAAAAAwHmwwqUgms1mjIyMRJ7nMTIyEhs2bIhly5alrkVCg4ODcTRvxsduWpK6SjJfePBELB0cTF0DAAAAAOA1WeFSEPV6PSYnJyMiYnJyMnbu3Jm4EQAAAAAAMFMGLgXRaDSi1WpFRESr1YpGo5G4EQAAAAAAMFO2FCuIarUa99xzT7RarSiXy1GtVlNXgr5x5NmIP/5qK9njP/Pi1O9XXpasQhx5NuLKFekeHwAAAAD6nYFLQdRqtbj33nsjIiLLstiwYUPiRtAfhoaGUleI8QMHIiLiyhXXJ+tw5YpiPBcAAAAA0K8MXAqiUqnE4OBgHDx4MAYHB2PZsmWpK0Ff2LRpU+oKsWXLloiI2Lp1a+ImAAAAAMB8cYZLQTSbzRgbG4uIiLGxsRgfH0/cCAAAAAAAmCkDl4Ko1+vRak2dMdFqtWLnzp2JGwEAAAAAADNl4FIQe/bsiTzPIyIiz/PYs2dP4kYAAAAAAMBMGbgUxMDAQMcMAAAAAAAUl4FLQRw5cqRjBgAAAAAAiqucugBT1q1bF7t27Yo8zyPLsli3bl3qSgAAAADAPBkbG4ujLxyNOx/5fOoqST32wsFYOrY0dY0Fb2xsLI4+/3x8du8XU1dJ6uDzR2Lp2LFZv78VLgVRq9WiXJ6af5XL5diwYUPiRgAAAAAAwExZ4VIQlUol1q9fH7t27Yr169fHsmXLUlcCAAAAAObJ4OBgHJ84EZ+88ddSV0nqzkc+HxcNLkldY8EbHByME5MXx6dXfyh1laQ+u/eLsWRw9tfmDVwKpFarxcGDB61uAQAAAACAHmPgUiCVSiW2bduWugYAAAAAAHCenOECAAAAAADQJQMXAAAAAACALhm4AAAAAAAAdMkZLgAAAH0kH29G6+670z3+889FRET2+svTdRhvRgxcnezxAQBYmAxcAAAA+sTQ0FDqCnHghecjIuL6lAOPgasL8VwAALCwGLgAAAD0iU2bNqWuEFu2bImIiK1btyZuAgAAF5YzXAAAAAAAALpk4AIAAAAAANClJFuKZVm2LCL+S0S8KSL+LiL+L3meP3PW27whIv5TRFwTEZMR8Yd5nv+rk6/7f0XEL0XEUyff/PY8z79yIbrz2h577mh8/oF9yR7/yaPHIiJi+dKLk3V47LmjccPKZA8PAAAAAMAFluoMl09FxJ48z+/IsuxTJ/O/OOttWhHxz/M8/1aWZa+LiG9mWfZ/5Hn+vZOv///meb7tAnZmBopwMOWJAwciImLJyjcl63DDymI8FwAAAAAAXBipBi4fiIj3nfzzf4yIr8ZZA5c8zw9HxOGTf34hy7LvR8TKiPhe9Klmsxmf//zn4/bbb49ly5alrjMrDukEAAAAAGAhSnWGy/KTA5VTg5WBTm+cZdmbIuLtEfHwGS/+eJZlj2ZZtiPLsivnrekFVK/XY9++fbFz587UVQAAAAAAgPMwbwOXLMvuy7Js3zS/PnCeH+eyiPiTiPjVPM+fP/ni7RFxfUT8ZEytgvmdDu//kSzLHsmy7JGnnnrqXG+WXLPZjJGRkcjzPEZGRmJ8fDx1JQAAAAAAYIbmbeCS5/n78zxfNc2vP4uIJ7MsWxERcfL3I9N9jCzLFsfUsGVnnud/esbHfjLP84k8zycj4o8i4qc79PjDPM9vzPP8xquvvnou/xPnVL1ej8nJyYiImJyctMoFAAAAAAB6SKotxb4cEf/ryT//rxHxZ2e/QZZlWUTcFRHfz/P8/3PW61acEW+NiH3z1POCaTQa0Wq1IiKi1WpFo9FI3AgAAAAgYmBgoGMGAKakGrjcERH/S5ZlfxsR/8vJHFmWDWZZ9pWTb7MmIv5xRFSzLPvLk7/+4cnX3Zll2XeyLHs0ItZGxP/jAvefc9VqNaZmTBFZlkW1Wk3cCAAAACDi6aef7pgBgCnlFA+a53kzItZN8/KxiPiHJ//8YERk53j/fzyvBRO4+eab4+67746IiDzP45ZbbkncCAAAACBOb4F+rgwATEm1woWz7N69u22Fy65duxI3AgAAAAAAZsrApSAajUbkeR4RUytcnOECAAAAAAC9I8mWYrxatVqNe+65J1qtVpTLZWe4AAAAAAC8hrGxsTj6wovxuYf/IHWVpA6+MBZLxy5LXWPBs8KlIGq1WpRKU/87SqVSbNiwIXEjAAAAAABgpqxwKYhKpRLDw8Oxa9euGB4ejmXLlqWuBAAAAABQaIODg3Fi4sW4/V0fTV0lqc89/AexZNAKl9SscCmQWq0Wq1atsroFAFgQVq1a1Zbf+ta3JmoCAAAA3bPCpUAqlUps27YtdQ0AgAvib/7mb9ryD37wg0RNAAAAoHtWuAAAkMSJEyc6ZgAAAOglVrgAAAAAADM2NjYWLzx3NO7a89nUVZI5/OzBeDFfmroGUDBWuAAAAABwTqVSqWMGAKZY4QIAAADAOS1fvjwOHz7cllnYBgcH4/nsRNy27tOpqyRz157PxutXLEldAygYtyQAAAAAcE5PPvlkxwwATDFwAQAAAOCcJicnO2YAYIqBCwAASVxyySUdMwBQDIsWLeqYAYApBi4AACRx4sSJjhkAKIbVq1e35TVr1iRqAgDFZuACAAAAwDlddNFFbXnJEgeFA8B0DFwAAEhi8eLFHTMAUAwPPfRQxwwATDFwAQAgiWPHjnXMAEAxXH755W35iiuuSFMEAArOwAUAAACAc3riiSfa8uHDhxM1AYBiM3ABAAAAAADokoELAABJZFnWMQMAAEAvMXABACCJPM87ZgAAAOglBi4AAAAAAABdMnABAAAAAADokoELAAAAAOdUKpU6ZmZm0aJFHTMAvc9XSAAAAADOacWKFW15cHAwUZPeNjEx0TED0PsMXAAAAAA4p/Hx8bbcbDYTNeltF110UccMQO8zcAEAAADgnNasWdOWb7rppkRNetvx48c7ZgB6n4ELAAAAAOd09mDg2LFjiZoAQLEZuAAAAABwTnv37u2YAYApBi4AAAAAnNPk5GTHzMw4wwWg/xm4AAAAAHBOeZ53zMzMiRMnOmYAep+BS4E0m83YvHlzjI+Pp64CAAAAwBzKsqxjBqD3GbgUSL1ej3379sXOnTtTVwEAmHdLlizpmAEA+snixYs7ZgB6n4FLQTSbzRgZGYk8z2NkZMQqFwCg79lWAwB6w9KlSztmZub48eMdMwC9z8ClIOr1+ulD5yYnJ61yAQAAAAphYmKiYwYAphi4FESj0YhWqxUREa1WKxqNRuJGAAAAABE33XRTW37Pe96TqAkAFFs5dQGmVKvVuOeee6LVakW5XI5qtZq6EgBzbGxsLJ5/LmLvvambpPX8eMTYxFjqGhTAokWL2u6QXbRoUcI2/cMBvADMtbO3vjp27FiiJgBQbFa4FEStVjv9w3GpVIoNGzYkbgQAML9Wr17dltesWZOoSX/J8zx1hZ50+eWXt+UrrrgiTRGAAtq7d2/HDABMscKlICqVSgwODsbBgwdjxYoVsWzZstSVAJhjg4ODMbno6Vi9PnWTtPbeGzG4fDB1DQrgoosu6pjhQnrhhRfa8vPPP5+oCUDxnL160mrK2SmVSqfP7z2VAegv/mUviGazGWNjU9urjI2Nxfj4eOJGAADz68EHH2zLDzzwQKIm4GIiQCfvfOc72/KNN96YqElvO3s179ln4wDQ+wxcCqJer5/e/iHP89i5c2fiRgAA86tcLnfMcCENDAx0zAAL2eOPP96Wf/jDHyZq0l9sAwrQfwxcCqLRaESr1YqIiFarFY1GI3EjAID59eKLL3bMcCE9+eSTHTPAQnbo0KGOmZlxFg5A/zNwKYhqtXr6rs5yuRzVajVxIwCA+XXZZZd1zHAhnbmn/nQZYCG77rrrOmZmZmJiomMGoPcZuBRErVY7fVhaqVSKDRs2JG4EADC/Tpw40TEDAMXwcz/3c235H/2jf5SmCAAUnIFLQVQqlRgeHo4sy2J4eDiWLVuWuhIAwLxasmRJxwwAFMO///f/vi3/u3/37xI16W2nbrQ9Vwag9zmZtEBqtVocPHjQ6hYAYEFwhgsA9IajR492zMxMlmUdMwC9z8ClQCqVSmzbti11DQrk0HN5fOHBdNurPH00j4iIq5am+Sbw0HN5/PjKJA8NwAVw0UUXxfHjx9syAEC/coYLQP8zcIGCGhoaSl0hnjhwICIilq68Psnj//jKYjwPAMyPM4ct02UAoBje9a53xcMPP3w6v/vd707YBgCKy8AFCmrTpk2pK8SWLVsiImLr1q2JmwAAAJDKr/zKr0StVmvLAMCrOZ0LAABY8JYtW9aWK5VKoiYAxfPMM8+05WeffTZNEQAoOAOXAmk2m7F58+YYHx9PXQUAgB7hAN65cd1113XMAAvZnXfe2ZbvuOOORE0AoNgMXAqkXq/Hvn37YufOnamrAADQI/I875iZmW9/+9tt+Vvf+laiJgDFc/DgwY4ZAJhi4FIQzWYzRkZGIs/zGBkZscoFAOh7V199dccMABTDZZdd1jEzM4sWLeqYAeh9Bi4FUa/XY3JyMiIiJicnrXIBAPreiy++2DEDAMXwyiuvdMzMzBVXXNGWr7zyyjRFAJg3Bi4F0Wg0otVqRUREq9WKRqORuBEAwPxat25dxwwAFMM111zTMTMzzWazLT/99NOJmgAwXwxcCqJarUa5XI6IiHK5HNVqNXEjAID5VavVYvHixRERsXjx4tiwYUPiRgDAdI4cOdIxAwBTDFwKolarRak09b+jVCq54AAA9L1KpRLr16+PLMti/fr1sWzZstSVetKp7yHPlQGgW1alzo2lS5d2zAD0Pj+NFUSlUonh4eHIsiyGh4ddcAAAFoRarRarVq1ys0kXlixZ0jEDQLdWr17dlm+66aZETXrbJz7xibb8q7/6q2mKADBvDFwKxAUHAGChqVQqsW3bNjebdOHYsWMdMwB06wtf+EJb/jf/5t8katLb9u3b15b/6q/+KlETAOaLgUuBuOAAACw0+/fvj1tvvTVGR0dTV2GBe/vb396W3/nOdyZqAlA8hw4dasuPP/54oia9bc+ePR0zAL3PwAUAgGQ+97nPxUsvvRS//du/nbpKz1q0aFHHzMycfTHxhz/8YaImAPSrs2+wrVQqiZoAMF8MXAAASGL//v2nL3IfOnTIKpdZmpiY6JiZmSNHjnTMAAvZ2asA3/GOdyRq0tsOHz7clsfGxhI1AWC+GLgAAJDE5z73ubZslQsAFNPZQ+gnn3wyUZPeNjk52TED0PsMXAqk2WzG5s2bY3x8PHUVAIB5d/YWTmdnAKAYfM0GgJkxcCmQer0e+/bti507d6auAgAAC4p99QHObeXKlR0zM+PcNYD+Z+BSEM1mM0ZGRiLP8xgZGbHKBQAALqCzv/9uNpuJmgAUz9DQUFu+/vrrEzXpbWvXrm3L1Wo1URMA5ouBS0HU6/XTe3dOTk5a5QIAAAAUwiOPPNKWv/GNbyRq0ts2btwYpdLUpbhSqRQbN25M3AiAuWbgUhCNRiNarVZERLRarWg0GokbAQDMr4GBgba8fPnyRE0AgE6uuOKKjpmZqVQqsWbNmoiIuOmmm161nSUAvc/ApSCq1WqUy+WIiCiXy5aVAgB97+wtm55++ulETXrbqTtlz5UBoFuHDx/umDl/eZ6nrgDAPCinLsCUWq0WIyMjETH1Q/KGDRsSNwIAoBcsXrw4jh8/3pYBgOJpNpvxwAMPRETEgw8+GOPj41a5EI+98Fjc+cjnkz3+kZeejIiIgUvTrTZ/7IXH4s1xQ7LHh7lk4FIQlUolhoeHY9euXTE8POwLLgDQ99auXRv33XdfW+b8nTlsmS4DQLdWrFjRtqplxYoVCdv0rh07dpz+c57ncdddd8WWLVsSNiK1oaGh1BXixIETERFx0RuWJOvw5rihEM8FzAUDlwKp1Wpx8OBBq1sAgAVh48aN0Wg0YnJyMkqlUtx2222pKwEA07jmmmsMXObA2ef1NhoNA5cFbtOmTakrnP4c3Lp1a+Im0B9s8FwglUoltm3bZnULALAgnHlw7Jo1a3wPBAAF9Zd/+Zdt+dvf/naaIj1ucnKyYwag9xm4AACQXJZlqSsAAOdw9gHvDnwHgOkZuAAAkESz2YyHHnooIn50cCwAUDzXXHNNx8zMrFy5smMGoPcZuAAAkMSOHTtOb6UxOTkZd911V+JGveld73pXW373u9+dqAkA/erNb35zW/7xH//xRE162+23396WP/OZzyRqAsB8MXABACCJ+++/v2NmZpYsWdIxMzOLFi3qmAEWskceeaQtf+Mb30jUpLddeeWVbfmKK65IUwSAeWPgUiDNZjM2b95sOw0AYEE4+9wW57jMzqlt2U558MEHEzXpbVdffXVbHhgYSNQEoHjOHgwYFMxOvV4//f1OlmWxc+fOxI0AmGsGLgVSr9dj3759vuACAAvC+973vra8du3aNEV63Klt2c6VmZmnnnqqLR85ciRRE4DiOXz4cMfMzDQajcjzPCIi8jyPRqORuBEAc62cugBTms1mjIyMRJ7nMTIyEhs2bIhly5alrgUAMG82btwYjUYjJicno1QqxcaNG1NXYgGbmJjomAGgW+985zvjgQceOJ1vvPHGhG0AXu2x55+Kz+79YrLHf/LosxERsXzpFck6PPb8U3FDzP66vIFLQdTr9bZDY3fu3Bmf+MQnErcCAJg/lUolLrnkkjh69GhccsklbjYBgIJauXJlHDp0qC1z/vbv39+W//Zv/zZRE4BXGxoaSl0hThx4JiIillyb7mfDG2JZV8+FgUtBNBqNaLVaERHRarWi0WgYuAAAfW3//v1x9OjRiIg4evRojI6OFuKbfACg3cc+9rG4/fbbT2fXK2bH1mxAkW3atCl1hdiyZUtERGzdujVxk9lLcoZLlmXLsiz7P7Is+9uTv195jrf7uyzLvpNl2V9mWfbI+b5/L6lWq1EuT82/yuVyVKvVxI0AAObXnXfe2ZbvuOOORE1626nDd8+VAaBbZ581ct999yVqAgDFlmTgEhGfiog9eZ6/OSL2nMznsjbP85/M8/zMjS3P5/17Qq1Wi1Jp6n9HqVSKDRs2JG4EADC/Dh482DEzM6cO3z1XBoBu3X///R0zM3Pqus+5MgC9L9W/7B+IiP948s//MSL+0QV+/8KpVCoxPDwcWZbF8PCwPcwBgL533XXXdcwAQDFYTTk3rrjiirZ85ZU9v2ELAGdJNXBZnuf54YiIk78PnOPt8ogYybLsm1mWfWQW799TarVarFq1yuoWAGBB+OQnP9mWP/Wpnl+0DAB96X3ve19bXrt2bZoiPW58fLwtN5vNRE0AmC/zNnDJsuy+LMv2TfPrA+fxYdbkef6OiLg5Ij6WZdl7Z9HjI1mWPZJl2SNPPfXU/5+9e4+Pq6r6P/5daYByU+hAoVyslKqPWh5FEbRFpCmmXLwBKjhV0PIoVEFFCyJ4QUXEtt5BFKGC2ugPBUQtpZGGe5GbF6goUqrlVgqmIpRr06zfH/ukzaSTyWTmzOw5k8/79eor2ZlpWR7P5Jyz115rD/ev11Uul9O8efOobgEAACPCxIkTN1S1jB8/XhMmTIgcEUay/fbbr+QYAEaymTNnbqhqMTPNnDkzckQAADSmmiVc3P0gd59U5M+Vklab2ThJSr4+Nsi/8Ujy9TFJV0jaN3mprL+f/N0L3H0fd99nxx13TO9/IAAAAKp26qmnaquttqK6pQpbbrllwXirrbaKFEm2HXPMMQXjD37wg3ECAYAGRzuxym299dYlxwCA7IvVUuw3ko5Nvj9W0pUD32BmW5vZtn3fS2qXtKzcvw8AAIDGN3HiRF1xxRVUt1Sht7e3YLx+/fpIkWTbFVdcUTC+/PLLI0UCAI2no6NjwwbvZqYFCxZEjiibzjjjjILx5z//+UiRAABqJVbC5RxJbzWz+yS9NRnLzHYxs6uS9+wk6SYz+4uk2yQtdPerS/39rOvu7tbs2bM36ekJAAAADGaHHXYoGFPVXZnrrruuYHzttdfGCQQAGlBXV9eGhP769evV1dUVOaJsev3rX6/W1lZJUmtrq/bee+/IEQEA0hYl4eLu3e4+zd1flnxdk/z8EXc/NPl+hbu/Jvnzanf/6lB/P+s6Ojq0bNkyVooAAACgbI8++mjBeNWqVZEiyTZ3LzkGgJGsra2tIFHQ1tYWOaJs6u7uLhiz4BYAmk+sChcM0N3drc7OTrm7Ojs7uegCAAAAdTR16tSSYwAYyfL5/IYWlr29vZoxY0bkiLKpo6OjoFKIBbcA0HxIuDSIjo6OgpsXLroAAAAox9ixY0uOUZ6ZM2cWjI877rhIkQBAY6Lyr3pLlizZcBzdXUuWLIkcEQAgbSRcGkRXV5d6enokST09PfRDBQAAQFkGthCjpVjlzKzgKwAg6Ojo2JAoYJFo5caMGVMwzuVykSIBANQKCZcGQT9UAAAwEnV3d2v27Nm0U0V0HR0damkJj0ctLS1MJgJAPwMrMajMqMwjjzxSMH744YcjRQIAqBUSLg0in88XPODRDxUAAIwEHR0dWrZsGZPbiK6rq6ugrz4V5wCwEe0r0zGwLRtt2gCg+ZBwaRC5XE7t7e0yM7W3t29SZgoAANBsuru7tXjxYrm7Ojs7qXKpUF+V9GBjlGfy5MklxwAwkq1evbrkGAAABCRcGkg+n9ekSZOobgEAACNCR0fHhj3s1q1bR5VLhfqO4WBjlOepp54qGK9duzZSJADQeAbuNcLeIwAAFEfCpYHkcjnNmzeP6hYAADAiLFmyZEMrDXenH3yFttpqq5JjlOe2224rGN96662RIgGAxvPoo4+WHKM8W265ZcGYazYANB8SLg2ETWMBAMBIMnCRCYtOKvPcc8+VHKM89NUHANTawGtLb29vpEgAALVCwqWBsGksAAAYSVatWlVyjPIMnKxh8qYy48aNKzkGgJFs6tSpJccoz0EHHVRyDADIPhIuDaK7u1udnZ1sGgsAAEaMlpaWkmOgniZOnFhyDAAj2cyZM2VmkiQz03HHHRc5omzK5/NqbW2VJG222Wbs4QsATYin2gbR0dGxYTVib28vVS4AAKDpHXjggQVjVstWZtdddy0Y77bbbpEiybY777yz5BgARrJcLrdh/5Ett9ySNqAVyuVyOvjgg2Vmmj59OscRAJoQCZcG0dXVpZ6eHklST0+Purq6IkcEAABQWzNnztxQ1dLS0qKZM2dGjiibTj/99ILxGWecESmSbGtrays4H9va2iJHBACNY/ny5XrmmWckSc8884xWrFgROaLsmjRpktxdr3nNa2KHAgCogdbYASBoa2vT1VdfrZ6eHrW2tvKABwAAml4ul1NbW5uuueYaTZs2jVWeFZo4caJ23HFHPf744xo7dqwmTJgQO6RMyufz6uzs1AsvvKDW1lbavABAP3PmzCkYn3POObrgggsiRZNt5557riTpO9/5jg444IDI0VTn0Sce0EVLvhrtv9+9drUkKbfNTlH++48+8YBeNI4WpAAKkXBpEH0PeFJYUccDHgAAGAlmzpyp1atXU91Spb5+8KNGjYocSXblcjm1t7dr4cKFam9vJwEIAP2sXLmy5BjlufPOO7V27VpJ0tq1a/WnP/1Je++9d+SoKtMICzwev/8FSdKLxm0e5b//onETG+I4AGgsJFwaBA94AABgJMrlcpo3b17sMDJt+fLlWrVqlSRp1apVWrFiBQ//Fcrn81q5ciWLnwBggF133VUPP/zwhjH7hVXm7LPPLhifddZZuuyyyyJFU51Zs2bFDkGnnHKKJGnu3LmRIwGAjdjDpYHk83lNmjSJBzwAAACUrVibFwAA0jQwkb/HHntEiiTb+qpbBhsDALKPhEsD6VvhSXULAAAAykWbl/R0dHRo2bJlWrBgQexQAKCh3HnnnSXHKM/A1p+0AgWA5kNLMQAAACDDtt56az399NMFYwxfd3e3Ojs75e7q7OzUjBkzWAgFAIm2tjb97ne/Kxhj+Ny95BhA5R546hGdfesPo/33Vz/zb0nSTlvtEC2GB556RBP18mj/fQQkXAAAAIAMe/bZZ0uOUZ6Ojg6tX79ekrR+/XotWLBAJ510UuSoAKAxHHLIIQUJl8MOOyxiNABQqBH2L3zh/tWSpM133yZaDBP18oY4FiMdCRcAAAAAI15XV1dBwqWrq4uECwAkrrjiioLxZZddtmHDcpRvyy23LKhK3XLLLSNGAzSPWbNmxQ5hw+/EuXPnRo4EsbGHCwAAAKLp7u7W7NmztWbNmtihZNbAyRombyozefLkkmMAGMm6urpKjlGe/smWYmMAQPaRcAEAAEA0bFJePSZvasPMYocAAA2jt7e35Bjl2WabbUqOAQDZR8IFAAAAUQzcpJwql8rsuuuuBePddtstUiTZtnTp0oLxzTffHCkSAGg8A5PQJKUr09PTU3IMAMg+Ei4AAACIoqOjY8MK2d7eXqpcKjRwY8w99tgjUiTZ1tbWptbWsMVla2ur2traIkcEAI2jpaWl5BjlOeigg0qOAQDZxxUSAAAAUXR1dW1Y2dnT00M/+ArdcccdJccoTz6f3zCB2NLSohkzZkSOCAAax9SpU0uOUZ58Pl+Q3OdaAwDNh4RLA2HTWAAAMJJQUZCOsWPHlhyjPLlcTu3t7TIztbe3a8yYMbFDAoCGMXPmzILxcccdFymSbMvlcjr44INlZjr44IO51gBAEyLh0kDYNBYAAIwkVBSk47HHHis5RvkmT54sM9P+++8fOxQAaDj9r9moXD6f16RJk7jvAYAmxVWyQbBpLAAAGGmoKEjHlClTSo5Rvh/+8Ifq7e3V+eefHzsUAGgoHR0dcndJkruzUBQAgEGQcGkQbBoLAABGIlZ5ps/MYoeQScuXL9fKlSslSStXrtSKFSsiRwQAjWPJkiUFCZclS5ZEjii75s+fr7vvvlvz58+PHQoAoAZIuDQINo0FAAAjUS6X07x586huqcLSpUsLxjfffHOkSLJtzpw5BeNzzjknUiQA0HjYLywd3d3dG+Z7lixZQncTAGhCJFwaBJvGAgAAoBLcR6ajr7plsDEAjGSrV68uOUZ55s+fX9DdhCoXAGg+JFwaBJvGAgAAoBL5fH5DGzEz4z6yQuPHjy85BoCRbKeddio5Rnmuu+66gvG1114bJxAAQM2QcGkQbBoLAACASuRyOe2yyy6SpF122YX7yAqdeuqpBePTTjstUiQA0Hgee+yxkmOUp6+6ZbAxACD7SLg0EDaNBQAAwHB1d3frkUcekSStWrWKfvAVmjhx4oaqlvHjx2vChAmRIwKAxjFt2rSSY5Rn3LhxJccAgOwj4QIAAABkWEdHh9xdUlgpu2DBgsgRZdepp56qrbbaiuoWABigf/tK2qBXbuCiCBZJAEDzIeHSQDo6OrRs2TIekgEAAFC2rq4u9fT0SJJ6enrU1dUVOaLsmjhxoq644gqqWwCgiL6ECyo3bdq0gn3XqBQCgOZDwqVBdHd3q7OzU+6uzs5OVjkAAACgLJMnTy4YT5kyJVIk2bd8+XIdfvjhWrFiRexQAKChdHR0qKUlTCG1tLSwULRC+Xxera2tkqTNNtuMSiEAaEIkXBpER0fHhs3SaAUBAACASvW1F8PwzZkzR88884zOOeec2KEAQEOhmjIduVxO06dPl5mpvb1dY8aMiR0SACBlJFwaBDcvAAAAqMTSpUtLjlGe5cuXa+XKlZKklStXUuUCAP20tbVtqMxobW1VW1tb5IiyK5/Pa9KkSVS3AECTIuHSILh5AQAAQCXa2to0atQoSdKoUaO4j6zQnDlzCsZUuQDARvl8vqArB8kCAACKI+HSIPL5fEE/VG5eAAAAUI58Pl+QcOE+sjJ91S2DjQFgpOufcEHlOjo6tGzZMlrJA0CTIuHSIHK5nNrb2+njCQAAgGHhPjIdu+66a8F4t912ixQJADSe+fPnlxyjPN3d3ers7JS7q7OzU2vWrIkdEgAgZSRcGgh9PAEAAFAJ7iOrN2HChILxHnvsESkSAGg81113XcH42muvjRNIxnV0dBRUClHlAgDNh4RLA8nlcpo3bx6rEgEAADAs3EdW74477ig5BoCRzN1LjlGerq4u9fT0SJJ6enrU1dUVOSIAQNpIuAAAAAAZ193drdmzZ9OapApjx44tOQaAkWzq1KklxyjP5MmTC8ZTpkyJFAkAoFZIuAAAAAAZxwa81XvsscdKjgFgJDv88MMLxkceeWSkSJoLlUIA0HxIuAAAAAAZxga86Ri4yphVxwCw0aJFi2RmkiQz08KFCyNHlE1Lly4tOQYAZF9r7AAAAAAAVK7YBrwnnXRS5Kiyr29iEUBc559/vlasWFHVv3Hvvffq+eef1wknnKBtt922on9jwoQJmjVrVlVxZFlXV9eGagx3V1dXF9eaCrS1tWnRokVav369Ro0apba2ttghAQBSRoULAAAAkGFswJuOgauMb7755kiRAEjb888/L0lauXJl5Eiyq62tTa2tYc1ua2sriYIK5fN5jRo1SpI0atQozZgxI3JEAIC0UeECAAAAZNjkyZN1zTXXbBjTCqsyHEegMVVbVXLnnXfqrrvukhSqAPP5vPbee+80QhtR8vm8Fi9eLElqaWkhUVChXC6n9vZ2LVy4UO3t7RozZkzskAAAKaPCBQAAAGgibMCbDo4j0BzOPvvsgvFZZ50VKZJsy+Vy2mWXXSRJ48aNI1FQhXw+r0mTJpG0AoAmRcIFAAAAyDA24E0HxxFoTmvXri05Rnm6u7v1yCOPSJIeeeQRrVmzJnJE2ZXL5TRv3jySVgDQpEi4AAAAABnW1tZW0A+evvqV4TgCzalv35HBxihPR0fHhso/d9eCBQsiR5Rd3d3dmj17NkkrAGhSJFwAAACADMvn82ppCbf19NWvHBsZA81p/fr1JccoT1dXl3p6eiRJPT096urqihxRdnV0dGjZsmUkrQCgSZFwAQAAADKsf1/9XXbZhRYlFerbyNjM2MgYaCJmVnKM8rS1tW2oDmptbaUKsELd3d3q7OyUu6uzs5MqFwBoQtTSAgDKsuYJadGSeP/9J5N22y/aJl4Ma56Qxo6L998HgGKK9dUnWVCZfD6vlStXUt0CNBESLunI5/NavHixJKopq9HR0aHe3l5JUm9vrxYsWKCTTjopclQAgDSRcAEADGnChAmxQ9BT998vSRo7bs9oMYwd1xjHAgD66+joKGjzwuQNAGxES7F09FVTrly5UuPGjSOxX6Firdm4ZgNAcyHhAgAY0qxZs2KHoFNOOUWSNHfu3MiRAEBjWbJkScFGxkuWLGHypkL9++pzDAFgI6op09HW1qarr75aPT09tGYDgCbFHi4NpLu7W7Nnz6aHJwAAAMo2cMKLCbDK0FcfAAbX0dFRkNxnw/fK5PN5tbSEqThaswFAcyLh0kDmz5+vu+++WxdddFHsUAAAAJARq1atKjlGeYr11Udl1q1bp/vvv5+kFdBEirXCwvDlcjm1t7fLzNTe3s4iCQBoQrQUaxDd3d0bbli6urp03HHHceEFAADAkNgQOh301d/o/PPP14oVKyr++/fee696e3t1/PHH66UvfWnF/86ECRMaoq0pss3MNlRm9I0xfLTCSk8+n9fKlSupbgGAJkWFS4OYP39+wYo6qlwAAABQjp133rlgPG7cuEiRZFtbW5taW8N6NCYTK7du3boNzzVPPvmk1q1bFzkijHRbbLFFwXj06NGRIsk2WmGlJ5fLad68eSyyBYAmRYVLg7j22ms3GfdtEA0AAAAMZmDbpu7u7kiRZFs+n1dnZ6ckJhOrqSo566yzCsY77rijzjjjjGpDAir23HPPFYyfffbZSJFkW18rrIULF9IKCwCAEki4NAhaQQAAMDzPdksrfudDv7EGnv9v+LrFi6P85yWF//3aMd5/H41j2rRpWrhwodxdZqZp06bFDimTmExMx4033lgwvuGGG0i4AE3ikEMOUVdXlw477LDYoQAA0LBIuDSIAw88UNdcc82G8dSpUyNGAwBAY5swYULU//79T94vSdpzxz3jBbFj/OOAxpDP57V48WKtW7dOra2tI7oyo1r01QeAwS1atEjPPvusFi5cOGL3uAIAYCgkXBrEzJkz1dXVpd7eXrW0tGjmzJmxQwIAoGHF3kS5r+3n3Llzo8YBSKEyY/r06Vq4cKGmT59OZUYV+vrqo3JsUI5Gk8vlClot7rDDDhGjya7u7m51dnbK3dXZ2akZM2ZwvQEAoIiW2AEgyOVyGzbmnDZtGjcuAAAAKFs+n9ekSZOozEB022+/fckxUG+bbbZZyTHK09HRod7eXklSb2+vFixYEDkiAAAaEwmXBjJz5kzttddeVLcAAAAAyKQ1a9aUHAP19uijjxaMV61aFSmSbOvq6lJPT48kqaenR11dXZEjAgCgMZFwaSB9LQyobgEAAMBwdHR0aNmyZaw4BoABxo8fX3KM8rS1tam1NXSlb21t3dChAwAAFCLhAgAAAGTYwL76VBQAzWPdunW6//77+VxX4X3ve1/B+P3vf3+kSLItn8+rpSVMIbW0tNDCEgCAQZBwAQAAADKMvvpA83rwwQf19NNP6zvf+U7sUDLrpz/9acH44osvjhNIxuVyObW3t8vM1N7eTmcOAAAG0Ro7AAAAAACVK9ZX/6STToocFYDzzz9fK1asqPjvr1u3TmvXrpUk/eEPf9AnP/nJijZ8nzBhgmbNmlVxHFn38MMPlxyjfIcccoi6urp02GGHxQ4FAICGRYULAAAAkGH01Qea04MPPlhyDNTbokWL9Oyzz2rhwoWxQwEAoGFR4QIAAABkWD6fV2dnpyT66gONpNqqkunTpxeM165dq7lz51b1bwKVGrhf2IwZM2grBgBAEVS4AAAAABlGX/30dHd3a/bs2WxQXgUzKzkG6m3cuHElxyhPR0eH1q9fL0lav349+4VVgWsNADQ3Ei4AAABAxuXzeU2aNInqlip1dHRo2bJlTCRWYZdddikY77rrrpEiAYKJEycWjF/2spdFiiTburq6ChIuXV1dkSPKrvnz5+vuu+/W/PnzY4cCAKgBEi4AAABAxuVyOc2bN4/qlioMbJfDyuPKDDxu3d3dkSLJvr333rtg/LrXvS5SJNl2xx13FIxvv/32SJFk2+TJk0uOUZ7u7u4NyaolS5ZwrQGAJkTCBQAAAMCI19HRod7eXklSb28vVS4VmjJlSskxyrfNNtuUHKM8Y8eOLTlGZWgXWJn58+cXXGuocgGA5kPCBQAAAMCI19XVpZ6eHklST08P7XJSwqRs5ZYuXVowvvnmmyNFkm2PPfZYyTHKw/mYjuuuu65gfO2118YJBABQMyRcAAAAgIxjA97qtbW1qbW1VZLU2tqqtra2yBFl08BJ2JtuuilSJNnXt1/GYGOUZ9q0aRsSf2amadOmRY4om9ra2jRq1ChJ0qhRo/gdWSF3LzkGAGQfCRcAAAAg4/o24L3oootih5JZ+XxeLS3h8ailpUUzZsyIHFE20b4pPX2T24ONUR4+2+nI5/MbkgPuznGs0NSpU0uOAQDZR8IFAAAAyLDu7m4tWbJEEhvwViOXy6m9vV1mpvb2do0ZMyZ2SJlE+6b0kLxKRy6XK6hw4bONmGbOnFmQADzuuOMiRwQASBsJFwAAACDD5s+fX7DqmCqXyuXzeU2aNImV21WYMmVKwXj//fePFEn2rV69uuQY5bnzzjsL9mf605/+FDmibOro6ChIXC1YsCByRNmUy+U2tGNra2sjAQgATShKwsXMxpjZ783svuTr9kXe8woz+3O/P0+a2SeT1840s4f7vXZo3f9HAAAAAA1g4Ia7bMBbuVwup3nz5jEBVoXnn3++5BjlY6+HdHz1q18tGH/lK1+JFEm2dXV1bdhHaP369erq6oocUXbNnDlTe+21F9UtANCkYlW4nCZpibu/TNKSZFzA3e9199e6+2slvV7SM5Ku6PeWb/W97u5X1SNoAAAAoNH09vaWHAP1dMsttxSMly5dGimS7OtrOzTYGOV5+umnS45Rnra2NrW2tkqSWltbN1RpYPhI7gNAc4t1x/ZOSZck318i6V1DvH+apPvdfWUtgwIAAACyhklZNBKqMtKzzz77lBwD9ZTP5wv2HqH1IgAAxcV6GtvJ3VdJUvJ1qN3/jpb08wE/O9HM7jKz+cVakgEAAAAjwdSpU0uOUb7ly5fr8MMP14oVK2KHklmcj+l56KGHCsYPP/xwpEiybfTo0SXHKE8ul9MBBxwgSTrggAOozgAAYBA1S7iY2TVmtqzIn3cO89/ZXNI7JP2y34/Pl7SnpNdKWiXpGyX+/kfM7A4zu+Pxxx8f/v8QAAAAoIHNnDlzw0bGLS0t9ISvwpw5c/TMM8/onHPOiR1KZs2cObNgzPlYuYEJloEJGJTnueeeKznG8PVdcwAAwKZqlnBx94PcfVKRP1dKWm1m4yQp+fpYiX/qEEl/dPfV/f7t1e6+3t17Jf1I0r4l4rjA3fdx93123HHHdP7HAQAAAA0il8tp2rRpkkKPfVYdV2b58uVauTJ0MF65ciVVLlXom4xlUrY6o0aNKjlGebbeeuuSY5Snu7tbN9xwgyTp+uuv15o1ayJHBABAY4rVUuw3ko5Nvj9W0pUl3vs+DWgn1pesSRwuaVmq0QEAAAAZMnPmTO21115UE1Rhzpw5BWOqXCrT0dGxITEwatQoLViwIHJE2bV+/fqSY5Tn2WefLTlGeTo6OtTb2ytJ6u3t5bMNAMAgYiVczpH0VjO7T9Jbk7HMbBczu6rvTWa2VfL65QP+/hwzu9vM7pI0VdLJ9QkbAAAAQDPqq24ZbIzydHV1qaenR5LU09Ojrq6uyBEBSAOfbQAAyhMl4eLu3e4+zd1flnxdk/z8EXc/tN/7nnH3nLv/d8Df/4C77+Xu/+vu73D3VfX+3wAAAAA0io6ODi1btowVx1UYP358yTHK09bWptbWVklSa2ur2traIkeEkW7LLbcsOUZ5+GwDAFCeWBUuAAAAAFLQ3d2tzs5Oubs6Ozvpq1+hU089tWB82mmnRYok2/L5fMF4xowZkSLJvpaWlpJjlOfpp58uOUZ58vn8hnOwpaWFzzYAAIPgjg0AAADIMPrqp2PixIkbqlrGjx+vCRMmRI4om3K5nEaPHi1JGj16tMaMGRM5ouzq+1wPNkZ5dt1114LxbrvtFimSbMvlcmpvb5eZqb29nc82AACDIOECAAAAZBh99dNz6qmnaquttqK6pQrLly/X2rVrJUlr167VihUrIkeEkW5g8nSPPfaIFEn25fN5TZo0ieoWAABKIOECAAAAZBh99dMzceJEXXHFFVS3VGHOnDkF43POOSdSJEBw5513lhyjfLlcTvPmzaO6pUrd3d2aPXs2LUABoEmRcAEAAAAyjL76aCQrV64sOUb5xo4dW3KM8gxMQpOURmwdHR1atmwZLUABoEmRcAEAAAAyjL76aCRbbbVVyTHK193dXXKM8hxyyCEF48MOOyxSJED4HHd2dsrd1dnZSZULADQhEi4AAABAxtFXH43imWeeKTlG+dy95BjlWbRokcxMkmRmWrhwYeSIMJJ1dHSot7dXktTb20uVCwA0IRIuAAAAQMbRVz8d9NVHI9lpp51KjlGerq6uDckqd1dXV1fkiDCSdXV1qaenR5LU09PD+QgATYiECwAAAACIvvpp2HXXXQvGu+22W6RIsm/16tUlxygPe7igkbS1tam1tVWS1NrayvkIAE2IhAsAAACAEY+++un42Mc+VjA+8cQTI0WSfX1thwYbozyTJ08uGO+///6RIgFCC9CWljAV19LSQitQAGhCJFwAAAAAjHj01U/H0qVLC8Y33XRTpEiyr2/fkcHGKM95551XMD733HMjRQKEFqDt7e0yM7W3t9MKFACaEAkXAAAAACMeffXTsWTJkpJjlK9vFfxgY5Tn4YcfLhg/9NBDkSIBgnw+r0mTJlHdAgBNijs2AAAAACNeW1ubRo0aJUkaNWoUffUrNHbs2JJjlG9gK6wpU6ZEiiTbqBRCo8nlcpo3bx7VLQDQpEi4AAAAABjx8vm83F2S5O6sPK7QqlWrSo5Rub7zE8MzcM+WN7/5zZEiAQAAIwEJFwAAACDjuru7NXv2bDZ6R3Rs9J6egfvhDByjPLNmzdpQ1WJmmjVrVuSIAABAMyPhAgAAAGRcR0eHli1bxkbvVejo6NiwR0ZLSwvHskJ9++AMNgbqLZfLad9995Uk7bfffrRxAgAANUXCBQAAAMiw7u5udXZ2yt3V2dlJlUuFurq6NiQHenp61NXVFTmibGK/jPTsvPPOBeNx48ZFigQAAADlIuECAAAAZFhHR8eGtk29vb1UZlSora1Nra2tkqTW1la1tbVFjiibBu4zwr4jlfv3v/9dMH788ccjRZJt3d3duu222yRJt956K0lpAABQUyRcAAAAgAyjMiMd+Xy+oKXYjBkzIkeEkW6zzTYrOUZ5zj///A2JP3fX+eefHzkiAADQzEi4AAAAABlGZUY6crmc2tvbZWZqb29nn4cKjRo1quQY5Vu7dm3JMcpz0003FYxvvPHGSJEAAICRgIQLAAAAkGFUZqQnn89r0qRJHMMqTJ48uWA8ZcqUSJFk3/jx40uOUR7a3AEAgHoi4QIAAABkGJUZ6cnlcpo3bx7HsAovvPBCwfj555+PFEn2HX/88QXjWbNmRYok27bccsuSYwAAgDSRcAEAAAAyjsoMNIpbb7215BjlG7gf0zXXXBMpkmwbmPQjCQgAAGqJhAsAAACQcVRmAM3n2muvLTlGefpaLg42BgAASBN3GgAAAAAANBgzKzlGeQ488MCC8dSpU+MEAgAARgQSLgAAAAAANBgSBemYOXPmhqqWlpYWzZw5M3JEAACgmZFwAQAAAACkgg3K09PW1lYwnjZtWqRIsi2Xy204ltOmTaP1IgAAqCkSLgAAAACAVLh7yTHKd9555xWMzz333EiRZN/MmTO11157Ud0CAABqjoQLAAAAACAVBx10UMkxyvfwww8XjB966KFIkWRfLpfTvHnzqG4BAAA1R8IFAAAAAJCKfD6vUaNGSZJGjRqlGTNmRI4IABpLd3e3Zs+erTVr1sQOBQBQAyRcAAAAAACpyOVyG/Zt2XLLLakoqMJ+++1Xcgwgmzo6OrRs2TItWLAgdigAgBog4QIAAAAASMXy5cu1du1aSdLatWu1YsWKyBFl1+abb14w3mKLLSJFkn1UFKBRdHd3q7OzU+6uzs5OzkkAaEIkXAAAAAAAqZgzZ07B+JxzzokUSfYtXbq0YHzzzTdHiiT7qChAo+jo6FBvb68kqbe3l3MSAJoQCRc0nXXr1un+++9npQgAAABQZytXriw5RvnWr19fcozydHd3a/HixXJ3LV68mOdERNXV1aWenh5JUk9Pj7q6uiJHBABIGwkXNJ2HH35YTz/9tL7//e/HDgUAAAAYUcaPH19yjPKNGjWq5Bjl6ejo0Lp16ySFxXlUFCCmtrY2tba2SpJaW1vV1tYWOSIAQNpIuKCpdHd368knn5Qk3XjjjaxeAgAAAOro+OOPLxjPmjUrUiTZN3ny5ILxlClTIkWSbUuWLCk5Buopn8+rpSVMxbW0tGjGjBmRIwIApK01dgDAQOeff37Fm2v+61//KhifcMIJFa+qmzBhAg+IAAAAwDAM3Hfkpptu0t577x0pmmzbYostCsabb755pEiybcyYMXr44YcLxkAsuVxO7e3tWrhwodrb2zkfAaAJUeGCptJX3dLnv//9b6RIAAAAgJGHaoL0DExeDRyjPI8++mjJMVBv+XxekyZNoroFAJoUFS5oONVUlUyfPn2Tn82dO7eacAAAAACUaWA1QS6XixhNtk2ePFnXXHNNwRhA9uVyOc2bNy92GACAGqHCBQAAAACQioHVA6tWrYoUSfMxs9ghZNLUqVNLjgEAANJEwgUAAAAAgAYzsIXYzTffHCmSbJs5c2bBJuXHHXdc5IgAAEAzI+ECAAAAAEgF1QTpaWtrU2tr6ALe2tqqtra2yBFlUy6X05QpUyRJ+++/P5uUAwCAmmIPFwAA6ujJNdLSxfH++08/Fb5uvW28GJ5cI2mneP99AEDtzJw5U11dXert7aWaoEr5fF6dnZ2SQmUGG2xXbosttpAkbb755pEjAQAAzY6ECwAAdTJhwoTYIej+tfdLknbbac94QezUGMcCAJC+vmqCG2+8UVOmTKGaoAq5XE7t7e1auHCh2tvbOZYV6u7u1g033CBJuuGGG3TcccdxLAEAQM2QcAEAoE5mzZoVOwSdcsopkqS5c+dGjgQA0Kz6qglGjx4dOZLsy+fzWrlyJdUtVejo6ND69eslSevXr9eCBQt00kknRY4KAAA0K/ZwAQAAAACkon81wfXXX681a9ZEjijbcrmc5s2bR0VGFbq6ugoSLl1dXZEjAgAAzYyECwAAAAAgFR0dHert7ZUk9fb2asGCBZEjwkg3efLkkmMAAIA0kXABAAAAAKSiq6tLPT09kqSenh6qCRDd888/XzB+4YUXIkUCAABGAhIuAAAAAIBUtLW1ycwkSWamtra2yBFhpFu6dGnB+Oabb44UCQAAGAlIuAAAAAAAUnHIIYfI3SVJ7q7DDjssckQY6fr2bxlsDAAAkCYSLgAAAACAVCxatKigwmXhwoWRI8JIN2rUqJJjAACANJFwAQAAAACkoqurq6DChT1cENvUqVMLxrS5AwAAtUTCBQAAAACQira2NrW2tkqSWltbmdxGdIcffnjB+IgjjogUCQAAGAlIuAAAAAAAUpHP59XSEh4zW1paNGPGjMgRYaSjzR0AAKgnEi4AAAAAgFTkcjkdcMABkqS3vOUtGjNmTOSIMNLR5g4AANQTCRcAAAAAQGqef/75gq9ATLS5AwAA9UTCBQAAAACQiu7ubt18882SpJtuuklr1qyJHBFGOtrcAQCAeiLhAgAAAABIxfz589Xb2ytJ6u3t1fz58yNHhJEul8upvb1dZqb29nba3AEAgJoi4QIAAABkXHd3t2bPnk01AaK77rrrCsbXXnttnECAfvL5vCZNmkR1CwAAqDkSLgAAAEDGdXR0aNmyZVqwYEHsUDDC9W1OPtgYiCGXy2nevHlUtwAAgJoj4QIAAABkWHd3tzo7O+Xu6uzspMoFUU2dOrXkGAAAAGhmJFwAAACADOvo6CjYM4MqF8R0+OGHF4yPPPLISJEAAAAA9UfCBQAAAMiwrq4u9fT0SJJ6enrU1dUVOSKMZIsWLSoYL1y4MFIkzWH58uU6/PDDtWLFitihZBr7XAEAgHoh4QIAAABkWFtbm1pbWyVJra2tamtrixwRRrKBCT8SgNWZM2eOnnnmGZ1zzjmxQ8k09rkCAAD1QsIFAAAAyLB8Pi8zkySZmWbMmBE5IoxkJADTs3z5cq1cuVKStHLlSqpcKsQ+VwAAoJ5IuAAAAAAZlsvltMsuu0iSdtllF40ZMyZyRBjJ8vm8WlrCY2ZLSwsJwCrMmTOnYEyVS2XY5woAANQTCRcAAAAgw7q7u/XII49IklatWsXqbUSVy+XU3t4uM1N7ezsJwCr0VbcMNkZ52OcKAADUEwkXAAAAIMM6Ojrk7pJYvY3GkM/nNWnSJKpbqjR+/PiSY5Snra2toO0ibe4AAEAtkXABAAAAMozV22g0uVxO8+bNo7qlSu973/sKxu9///sjRZJthxxyyIaktLvrsMMOixwRAABoZiRc0FS23377gjEPeQAAoNmxSTnQnH7+858XjH/2s59FiiTbFi1aVDBeuHBhpEgAAMBIQMIFTeX4448vGM+aNStSJAAAAPXBJuVAc2IPl3QsWbKk5BgAACBNJFzQVObPn18wvvDCCyNFAgAAUB9sUg40J/ZwScfYsWNLjgEAANJEwgVN5bHHHisYr169OlIkAAAA9cMm5UDzOfXUUwvGp512WqRIsm3gM+LAMQAAQJpIuAAAAAAZxyblQPPZfvvtZWaSJDPTdtttFzegjJo2bVrBcZw2bVrkiAAAQDMj4QIAAAAAQIPp6Ogo2J9pwYIFkSPKpnw+r9bWVklSa2srlYAAAKCmSLgAAAAAANBgurq6tH79eknS+vXr1dXVFTmibMrlcpo+fbrMTNOnT6cSEAAA1BQJFwAAAAAAGszkyZMLxlOmTIkUSfaxzxUAAKiX1tgBAGlqbW1VT09PwRgAAAAAss7dY4eQWX37XAEAANQaFS5oKv2TLcXGAAAAAGqru7tbs2fP1po1a2KHkmlLly4tOQYAAEDjIeECAAAAAEhNR0eHli1bxibvVWpra9OoUaMkSaNGjVJbW1vkiAAAADAUEi4AAAAAgFR0d3ers7NT7q7Ozk6qXKqQz+cLEi7sPwIAAND4SLigqYwePbrkGAAAAEDtdHR0qLe3V5LU29tLlUsVcrmc2tvbZWZqb2/XmDFjYocEAACAIZBwQVN57rnnSo4BAAAA1E5XV9eGfRR7enrU1dUVOaJsy+fzmjRpEtUtAAAAGUHCpYGwuSQAAACALGtra1Nra6skqbW1lX1H0BB41gYAAPUSJeFiZu8xs7+aWa+Z7VPifQeb2b1mttzMTuv38zFm9nszuy/5un19Iq8tNpcEAAAAkGX5fL6gpRiVGdXhGTEdHEcAAFAvsSpclkk6QtINg73BzEZJOk/SIZJeJel9Zvaq5OXTJC1x95dJWpKMM43NJQEAAAAAfXhGTAfHEQAA1JO5e7z/uNl1kma7+x1FXnuTpDPdfXoy/qwkufvXzOxeSQe6+yozGyfpOnd/xVD/vX322cfvuGOT/1RD+N73vqerr75aPT09am1t1cEHH6yTTjopdliZM3369E1+tnjx4giRxHf++edrxYoVVf0b999/vyRpzz33rPjfmDBhgmbNmlVVHDFxHNNT7bHkOAaNcByl7B9LjiMA1Mb3vvc9LVq0SOvXr9eoUaN0yCGH8FxTIZ4R08FxBBoTz9rp4DimpxGeETmO2XnWNrM73b1o565G3sNlV0kP9hs/lPxMknZy91WSlHwdO9g/YmYfMbM7zOyOxx9/vGbBVovNJdGIRo8erdGjR8cOI/M4jungOKaD45gOjiMAFNfV1aX169dLktavX89zTRV4RkwHxxFoXtyTp4PjmA6OYzqa4Ti21uofNrNrJO1c5KUz3P3Kcv6JIj8bdjmOu18g6QIpVLgM9+/XS1tbW8GqGzaXrExra+uGm+m+8UiV9Yx4o+A4podjmQ6OYzo4jgBQGzzXpIdjmQ6OI9CYuB9PB8cxPRzLdHAca1jh4u4HufukIn/KSbZIoaJl937j3SQ9kny/OmklpuTrY+lFHkc+n1dLS/i/o6Wlhc0lKzR79uyC8Wc+85lIkQAAAAAjD8816eFYpoPjCAAA6qmRW4rdLullZraHmW0u6WhJv0le+42kY5Pvj5VUbhKnYeVyObW3t8vM1N7erjFjxsQOKZOmTp26oaqltbVVBxxwQOSIAAAAgJGD55r0cCzTwXEEAAD1FCXhYmaHm9lDkt4kaaGZLU5+vouZXSVJ7t4j6URJiyX9TdKl7v7X5J84R9Jbzew+SW9NxpmXz+c1adIkVtxUqa/KheoWAAA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", + "text/plain": [ + "<Figure size 2016x1080 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(28,15))\n", + "boxplot = sns.boxplot(x=\"variable\", y=\"value\", data=pd.melt(data_with_important_features.iloc[:,:19]))\n", + "boxplot.xaxis.set_ticklabels(boxplot.xaxis.get_ticklabels(), rotation=90, ha='right', fontsize=15)\n", + "plt.ylabel('values')\n", + "plt.xlabel('Feautures')" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Feautures')" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 2016x1080 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(28,15))\n", + "boxplot = sns.boxplot(x=\"variable\", y=\"value\", data=pd.melt(data_with_important_features.iloc[:,19:]))\n", + "boxplot.xaxis.set_ticklabels(boxplot.xaxis.get_ticklabels(), rotation=90, ha='right', fontsize=15)\n", + "plt.ylabel('values')\n", + "plt.xlabel('Feautures')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary of the Data Understanding\n", + "* 1 column with the subject id 'subject'-->only for filtering, must be removed\n", + "* 1 target column 'Activity'-->4 classes(WALKING, SITTING, LAYING, STANDING) a little bit unbalanced\n", + "* we have a multiclass classification problem-->**supervised machine learning**\n", + "* 1 \"support column\" source-->is the observation from the train or test group-->train test split along this value\n", + "* Addionally there are many features callculated out of the 17 time and frequency domain signal features. For example mean, min, max, std, signal magnitude area etc. \n", + "* These were calculated for each of the three axes x,y and z if possible\n", + "* In sum that means 561 features\n", + "-->Analyzing each Feature in detail is very hard because of the high number of features. Eventually we have multilineraity in the data\n", + "\n", + "* After Multicollineraty check, only 39 features left. We can see some outliers in some features in the boxplots but it is hard to analyze and interpret these outliers because it seams that the data is already partially standardized and we have no measurment units. So at the moment we accept these outliers\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Train Test Split" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [], + "source": [ + "data = df.copy()" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "data_train = data[data['type']=='train']\n", + "data_test = data[data['type']=='test']" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "X_train = data_train.drop('subject', axis =1).drop('Activity', axis=1).drop('type', axis =1)\n", + "X_train = X_train.drop(features_to_drop, axis =1)\n", + "y_train = data_train['Activity']\n", + "\n", + "X_test = data_test.drop('subject', axis =1).drop('Activity', axis=1).drop('type', axis =1)\n", + "X_test = X_test.drop(features_to_drop, axis =1)\n", + "y_test = data_test['Activity']" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "X_train: (5293, 39)\n", + "y_train: (5293,)\n", + "X_test: (2056, 39)\n", + "y_test: (2056,)\n" + ] + } + ], + "source": [ + "print('X_train: ' + str(X_train.shape))\n", + "print('y_train: ' + str(y_train.shape))\n", + "print('X_test: ' + str(X_test.shape))\n", + "print('y_test: ' + str(y_test.shape))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Oversampling" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [], + "source": [ + "ros = RandomOverSampler(random_state=0)\n", + "X_train_resampled, y_train_resampled = ros.fit_resample(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<AxesSubplot:>" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "y_train_resampled.value_counts().plot.bar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Modeling " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To build some different models it is good practice to use Pipelines and GridSearchCV. These two tools are an easy way to make hyperparamter tuning & k-fold Cross-Validation on different models. In this case the pipes exists of a StandardScaler and an One vs Rest classifier" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "__Build & Evaluate some different Models__" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## KNN\n", + "K-Nearest Neighbors" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [], + "source": [ + "# Pipeline for KNN\n", + "pipeline1 = Pipeline([\n", + " (\"scaler\", StandardScaler()),\n", + " (\"knn\", OneVsRestClassifier(KNeighborsClassifier()))\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['memory', 'steps', 'verbose', 'scaler', 'knn', 'scaler__copy', 'scaler__with_mean', 'scaler__with_std', 'knn__estimator__algorithm', 'knn__estimator__leaf_size', 'knn__estimator__metric', 'knn__estimator__metric_params', 'knn__estimator__n_jobs', 'knn__estimator__n_neighbors', 'knn__estimator__p', 'knn__estimator__weights', 'knn__estimator', 'knn__n_jobs'])" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pipeline1.get_params().keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fitting 5 folds for each of 4 candidates, totalling 20 fits\n", + "[CV] knn__estimator__n_neighbors=8 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... knn__estimator__n_neighbors=8, score=0.769, total= 3.5s\n", + "[CV] knn__estimator__n_neighbors=8 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 3.4s remaining: 0.0s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... knn__estimator__n_neighbors=8, score=0.754, total= 3.3s\n", + "[CV] knn__estimator__n_neighbors=8 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 2 out of 2 | elapsed: 6.7s remaining: 0.0s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... knn__estimator__n_neighbors=8, score=0.801, total= 3.3s\n", + "[CV] knn__estimator__n_neighbors=8 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 3 out of 3 | elapsed: 10.0s remaining: 0.0s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... knn__estimator__n_neighbors=8, score=0.832, total= 3.5s\n", + "[CV] 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"GridSearchCV(estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('knn',\n", + " OneVsRestClassifier(estimator=KNeighborsClassifier()))]),\n", + " param_grid={'knn__estimator__n_neighbors': [8, 10, 20, 30]},\n", + " verbose=10)" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#GridSearchCV-Object\n", + "clf = GridSearchCV(pipeline1, verbose=10, param_grid = {\n", + " \"knn__estimator__n_neighbors\": [8, 10, 20, 30]\n", + "})\n", + "clf.fit(X_train_resampled, y_train_resampled)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best parameters {'knn__estimator__n_neighbors': 20}\n", + "Best model score: 0.7988723899743437\n" + ] + } + ], + "source": [ + "print('Best parameters ' + str(clf.best_params_))\n", + "print('Best model score: ' + str(clf.best_score_))" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>mean_fit_time</th>\n", + " <th>std_fit_time</th>\n", + " <th>mean_score_time</th>\n", + " <th>std_score_time</th>\n", + " <th>param_knn__estimator__n_neighbors</th>\n", + " <th>params</th>\n", + " <th>split0_test_score</th>\n", + " <th>split1_test_score</th>\n", + " <th>split2_test_score</th>\n", + " <th>split3_test_score</th>\n", + " <th>split4_test_score</th>\n", + " <th>mean_test_score</th>\n", + " <th>std_test_score</th>\n", + " <th>rank_test_score</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>0.291415</td>\n", + " <td>0.020557</td>\n", + " <td>3.064704</td>\n", + " <td>0.088606</td>\n", + " <td>8</td>\n", + " <td>{'knn__estimator__n_neighbors': 8}</td>\n", + " <td>0.769094</td>\n", + " <td>0.753996</td>\n", + " <td>0.801066</td>\n", + " <td>0.832000</td>\n", + " <td>0.817778</td>\n", + " <td>0.794787</td>\n", + " <td>0.029247</td>\n", + " <td>3</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>0.305789</td>\n", + " <td>0.014108</td>\n", + " <td>3.177124</td>\n", + " <td>0.047759</td>\n", + " <td>10</td>\n", + " <td>{'knn__estimator__n_neighbors': 10}</td>\n", + " <td>0.769094</td>\n", + " <td>0.748668</td>\n", + " <td>0.815275</td>\n", + " <td>0.827556</td>\n", + " <td>0.824000</td>\n", + " <td>0.796919</td>\n", + " <td>0.031973</td>\n", + " <td>2</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>0.291104</td>\n", + " <td>0.008228</td>\n", + " <td>3.165741</td>\n", + " <td>0.071301</td>\n", + " <td>20</td>\n", + " <td>{'knn__estimator__n_neighbors': 20}</td>\n", + " <td>0.781528</td>\n", + " <td>0.733570</td>\n", + " <td>0.827709</td>\n", + " <td>0.819556</td>\n", + " <td>0.832000</td>\n", + " <td>0.798872</td>\n", + " <td>0.037207</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>0.291344</td>\n", + " <td>0.011009</td>\n", + " <td>3.311857</td>\n", + " <td>0.029414</td>\n", + " <td>30</td>\n", + " <td>{'knn__estimator__n_neighbors': 30}</td>\n", + " <td>0.768206</td>\n", + " <td>0.726465</td>\n", + " <td>0.819716</td>\n", + " <td>0.819556</td>\n", + " <td>0.825778</td>\n", + " <td>0.791944</td>\n", + " <td>0.038806</td>\n", + " <td>4</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " mean_fit_time std_fit_time mean_score_time std_score_time \\\n", + "0 0.291415 0.020557 3.064704 0.088606 \n", + "1 0.305789 0.014108 3.177124 0.047759 \n", + "2 0.291104 0.008228 3.165741 0.071301 \n", + "3 0.291344 0.011009 3.311857 0.029414 \n", + "\n", + " param_knn__estimator__n_neighbors params \\\n", + "0 8 {'knn__estimator__n_neighbors': 8} \n", + "1 10 {'knn__estimator__n_neighbors': 10} \n", + "2 20 {'knn__estimator__n_neighbors': 20} \n", + "3 30 {'knn__estimator__n_neighbors': 30} \n", + "\n", + " split0_test_score split1_test_score split2_test_score split3_test_score \\\n", + "0 0.769094 0.753996 0.801066 0.832000 \n", + "1 0.769094 0.748668 0.815275 0.827556 \n", + "2 0.781528 0.733570 0.827709 0.819556 \n", + "3 0.768206 0.726465 0.819716 0.819556 \n", + "\n", + " split4_test_score mean_test_score std_test_score rank_test_score \n", + "0 0.817778 0.794787 0.029247 3 \n", + "1 0.824000 0.796919 0.031973 2 \n", + "2 0.832000 0.798872 0.037207 1 \n", + "3 0.825778 0.791944 0.038806 4 " + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_KNN = pd.DataFrame(clf.cv_results_)\n", + "results_KNN" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "classification_report_test = classification_report(y_test, clf.best_estimator_.predict(X_test), output_dict=True)\n", + "classification_report_train = classification_report(y_train_resampled, clf.best_estimator_.predict(X_train_resampled), output_dict=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "#helper function\n", + "def make_results(classification_report_train, classification_report_test, model_type):\n", + " df_rep1 = pd.DataFrame(classification_report_train)\n", + " df_rep1['source'] ='train'\n", + " df_rep1 = df_rep1.set_index([df_rep1.index,'source'])\n", + " df_rep2 = pd.DataFrame(classification_report_test)\n", + " df_rep2['source'] ='test'\n", + " df_rep2 = df_rep2.set_index([df_rep2.index,'source'])\n", + " frames = [df_rep1, df_rep2]\n", + " df_rep = pd.concat(frames)\n", + " df_rep['model_type'] = model_type\n", + " df_rep = df_rep.set_index([df_rep.index,'model_type'])\n", + " return df_rep.transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead tr th {\n", + " text-align: left;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr>\n", + " <th></th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " </tr>\n", + " <tr>\n", + " <th>source</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " </tr>\n", + " <tr>\n", + " <th>model_type</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " <th>KNN</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>LAYING</th>\n", + " <td>0.912238</td>\n", + " <td>0.805259</td>\n", + " <td>0.855417</td>\n", + " <td>1407.000000</td>\n", + " <td>0.850000</td>\n", + " <td>0.633147</td>\n", + " <td>0.725720</td>\n", + " <td>537.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SITTING</th>\n", + " <td>0.810458</td>\n", + " <td>0.793177</td>\n", + " <td>0.801724</td>\n", + " <td>1407.000000</td>\n", + " <td>0.631295</td>\n", + " <td>0.714868</td>\n", + " <td>0.670487</td>\n", + " <td>491.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>STANDING</th>\n", + " <td>0.808673</td>\n", + " <td>0.901208</td>\n", + " <td>0.852437</td>\n", + " <td>1407.000000</td>\n", + " <td>0.757679</td>\n", + " <td>0.834586</td>\n", + " <td>0.794275</td>\n", + " <td>532.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>WALKING</th>\n", + " <td>0.976405</td>\n", + " <td>1.000000</td>\n", + " <td>0.988062</td>\n", + " <td>1407.000000</td>\n", + " <td>0.957198</td>\n", + " <td>0.991935</td>\n", + " <td>0.974257</td>\n", + " <td>496.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>accuracy</th>\n", + " <td>0.874911</td>\n", + " <td>0.874911</td>\n", + " <td>0.874911</td>\n", + " <td>0.874911</td>\n", + " <td>0.791342</td>\n", + " <td>0.791342</td>\n", + " <td>0.791342</td>\n", + " <td>0.791342</td>\n", + " </tr>\n", + " <tr>\n", + " <th>macro avg</th>\n", + " <td>0.876944</td>\n", + " <td>0.874911</td>\n", + " <td>0.874410</td>\n", + " <td>5628.000000</td>\n", + " <td>0.799043</td>\n", + " <td>0.793634</td>\n", + " <td>0.791185</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>weighted avg</th>\n", + " <td>0.876944</td>\n", + " <td>0.874911</td>\n", + " <td>0.874410</td>\n", + " <td>5628.000000</td>\n", + " <td>0.799743</td>\n", + " <td>0.791342</td>\n", + " <td>0.790227</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " precision recall f1-score support precision recall \\\n", + "source train train train train test test \n", + "model_type KNN KNN KNN KNN KNN KNN \n", + "LAYING 0.912238 0.805259 0.855417 1407.000000 0.850000 0.633147 \n", + "SITTING 0.810458 0.793177 0.801724 1407.000000 0.631295 0.714868 \n", + "STANDING 0.808673 0.901208 0.852437 1407.000000 0.757679 0.834586 \n", + "WALKING 0.976405 1.000000 0.988062 1407.000000 0.957198 0.991935 \n", + "accuracy 0.874911 0.874911 0.874911 0.874911 0.791342 0.791342 \n", + "macro avg 0.876944 0.874911 0.874410 5628.000000 0.799043 0.793634 \n", + "weighted avg 0.876944 0.874911 0.874410 5628.000000 0.799743 0.791342 \n", + "\n", + " f1-score support \n", + "source test test \n", + "model_type KNN KNN \n", + "LAYING 0.725720 537.000000 \n", + "SITTING 0.670487 491.000000 \n", + "STANDING 0.794275 532.000000 \n", + "WALKING 0.974257 496.000000 \n", + "accuracy 0.791342 0.791342 \n", + "macro avg 0.791185 2056.000000 \n", + "weighted avg 0.790227 2056.000000 " + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_KNN = make_results(classification_report_train, classification_report_test, 'KNN')\n", + "results_KNN" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Random Forest" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "# Pipeline\n", + "pipeline2 = Pipeline([\n", + " (\"scaler\", StandardScaler()),\n", + " (\"ranfo\", OneVsRestClassifier(RandomForestClassifier()))\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "param_grid = {'ranfo__estimator__max_depth': [5, 15, 30]}" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fitting 5 folds for each of 3 candidates, totalling 15 fits\n", + "[CV] ranfo__estimator__max_depth=5 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... ranfo__estimator__max_depth=5, score=0.793, total= 7.9s\n", + "[CV] ranfo__estimator__max_depth=5 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 7.8s remaining: 0.0s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... ranfo__estimator__max_depth=5, score=0.752, total= 7.6s\n", + "[CV] ranfo__estimator__max_depth=5 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 2 out of 2 | elapsed: 15.4s remaining: 0.0s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... ranfo__estimator__max_depth=5, score=0.850, total= 7.7s\n", + "[CV] ranfo__estimator__max_depth=5 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 3 out of 3 | elapsed: 23.1s remaining: 0.0s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[CV] ....... ranfo__estimator__max_depth=5, score=0.843, total= 7.7s\n", + "[CV] ranfo__estimator__max_depth=5 ...................................\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 4 out of 4 | 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+ "text": [ + "[CV] ...... ranfo__estimator__max_depth=15, score=0.886, total= 13.6s\n", + "[CV] ranfo__estimator__max_depth=30 ..................................\n", + "[CV] ...... ranfo__estimator__max_depth=30, score=0.831, total= 13.3s\n", + "[CV] ranfo__estimator__max_depth=30 ..................................\n", + "[CV] ...... ranfo__estimator__max_depth=30, score=0.821, total= 13.6s\n", + "[CV] ranfo__estimator__max_depth=30 ..................................\n", + "[CV] ...... ranfo__estimator__max_depth=30, score=0.877, total= 13.8s\n", + "[CV] ranfo__estimator__max_depth=30 ..................................\n", + "[CV] ...... ranfo__estimator__max_depth=30, score=0.876, total= 13.8s\n", + "[CV] ranfo__estimator__max_depth=30 ..................................\n", + "[CV] ...... ranfo__estimator__max_depth=30, score=0.888, total= 14.3s\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[Parallel(n_jobs=1)]: Done 15 out of 15 | elapsed: 2.9min finished\n" + ] + }, + { + "data": { + "text/plain": [ + "GridSearchCV(estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('ranfo',\n", + " OneVsRestClassifier(estimator=RandomForestClassifier()))]),\n", + " param_grid={'ranfo__estimator__max_depth': [5, 15, 30]},\n", + " verbose=10)" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#GridSearchCV-Object\n", + "clf2 = GridSearchCV(pipeline2, param_grid = param_grid, verbose=10)\n", + "clf2.fit(X_train_resampled, y_train_resampled)" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best parameters {'ranfo__estimator__max_depth': 30}\n", + "Best model score: 0.8583949477008093\n" + ] + } + ], + "source": [ + "print('Best parameters ' + str(clf2.best_params_))\n", + "print('Best model score: ' + str(clf2.best_score_))" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [], + "source": [ + "classification_report_test = classification_report(y_test, clf2.best_estimator_.predict(X_test), output_dict=True)\n", + "classification_report_train = classification_report(y_train_resampled, clf2.best_estimator_.predict(X_train_resampled), output_dict=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead tr th {\n", + " text-align: left;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr>\n", + " <th></th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " </tr>\n", + " <tr>\n", + " <th>source</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " </tr>\n", + " <tr>\n", + " <th>model_type</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " <th>RandomForest</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>LAYING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.821705</td>\n", + " <td>0.789572</td>\n", + " <td>0.805318</td>\n", + " <td>537.00000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SITTING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.784519</td>\n", + " <td>0.763747</td>\n", + " <td>0.773994</td>\n", + " <td>491.00000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>STANDING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.829710</td>\n", + " <td>0.860902</td>\n", + " <td>0.845018</td>\n", + " <td>532.00000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>WALKING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.970588</td>\n", + " <td>0.997984</td>\n", + " <td>0.984095</td>\n", + " <td>496.00000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>accuracy</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>0.852140</td>\n", + " <td>0.852140</td>\n", + " <td>0.852140</td>\n", + " <td>0.85214</td>\n", + " </tr>\n", + " <tr>\n", + " <th>macro avg</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>5628.0</td>\n", + " <td>0.851631</td>\n", + " <td>0.853051</td>\n", + " <td>0.852106</td>\n", + " <td>2056.00000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>weighted avg</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>5628.0</td>\n", + " <td>0.850813</td>\n", + " <td>0.852140</td>\n", + " <td>0.851239</td>\n", + " <td>2056.00000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " precision recall f1-score support precision \\\n", + "source train train train train test \n", + "model_type RandomForest RandomForest RandomForest RandomForest RandomForest \n", + "LAYING 1.0 1.0 1.0 1407.0 0.821705 \n", + "SITTING 1.0 1.0 1.0 1407.0 0.784519 \n", + "STANDING 1.0 1.0 1.0 1407.0 0.829710 \n", + "WALKING 1.0 1.0 1.0 1407.0 0.970588 \n", + "accuracy 1.0 1.0 1.0 1.0 0.852140 \n", + "macro avg 1.0 1.0 1.0 5628.0 0.851631 \n", + "weighted avg 1.0 1.0 1.0 5628.0 0.850813 \n", + "\n", + " recall f1-score support \n", + "source test test test \n", + "model_type RandomForest RandomForest RandomForest \n", + "LAYING 0.789572 0.805318 537.00000 \n", + "SITTING 0.763747 0.773994 491.00000 \n", + "STANDING 0.860902 0.845018 532.00000 \n", + "WALKING 0.997984 0.984095 496.00000 \n", + "accuracy 0.852140 0.852140 0.85214 \n", + "macro avg 0.853051 0.852106 2056.00000 \n", + "weighted avg 0.852140 0.851239 2056.00000 " + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_RandomForest = make_results(classification_report_train, classification_report_test, 'RandomForest')\n", + "results_RandomForest" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logistic Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [], + "source": [ + "# Pipeline\n", + "pipeline3 = Pipeline([\n", + " (\"scaler\", StandardScaler()),\n", + " (\"logreg\", OneVsRestClassifier(LogisticRegression(solver='newton-cg')))\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GridSearchCV(estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('logreg',\n", + " OneVsRestClassifier(estimator=LogisticRegression(solver='newton-cg')))]),\n", + " param_grid={})" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#GridSearchCV-Object\n", + "clf3 = GridSearchCV(pipeline3, param_grid = {})\n", + "clf3.fit(X_train_resampled, y_train_resampled)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best parameters {}\n", + "Best model score: 0.7738230905861456\n" + ] + } + ], + "source": [ + "print('Best parameters ' + str(clf3.best_params_))\n", + "print('Best model score: ' + str(clf3.best_score_))" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [], + "source": [ + "classification_report_test = classification_report(y_test, clf3.best_estimator_.predict(X_test), output_dict=True)\n", + "classification_report_train = classification_report(y_train_resampled, clf3.best_estimator_.predict(X_train_resampled), output_dict=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead tr th {\n", + " text-align: left;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr>\n", + " <th></th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " </tr>\n", + " <tr>\n", + " <th>source</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " </tr>\n", + " <tr>\n", + " <th>model_type</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " <th>LogReg</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>LAYING</th>\n", + " <td>0.761204</td>\n", + " <td>0.772566</td>\n", + " <td>0.766843</td>\n", + " <td>1407.000000</td>\n", + " <td>0.690702</td>\n", + " <td>0.677840</td>\n", + " <td>0.684211</td>\n", + " <td>537.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SITTING</th>\n", + " <td>0.747636</td>\n", + " <td>0.730633</td>\n", + " <td>0.739037</td>\n", + " <td>1407.000000</td>\n", + " <td>0.687970</td>\n", + " <td>0.745418</td>\n", + " <td>0.715543</td>\n", + " <td>491.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>STANDING</th>\n", + " <td>0.791356</td>\n", + " <td>0.754797</td>\n", + " <td>0.772645</td>\n", + " <td>1407.000000</td>\n", + " <td>0.833684</td>\n", + " <td>0.744361</td>\n", + " <td>0.786495</td>\n", + " <td>532.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>WALKING</th>\n", + " <td>0.924477</td>\n", + " <td>0.974414</td>\n", + " <td>0.948789</td>\n", + " <td>1407.000000</td>\n", + " <td>0.873563</td>\n", + " <td>0.919355</td>\n", + " <td>0.895874</td>\n", + " <td>496.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>accuracy</th>\n", + " <td>0.808102</td>\n", + " <td>0.808102</td>\n", + " <td>0.808102</td>\n", + " <td>0.808102</td>\n", + " <td>0.769455</td>\n", + " <td>0.769455</td>\n", + " <td>0.769455</td>\n", + " <td>0.769455</td>\n", + " </tr>\n", + " <tr>\n", + " <th>macro avg</th>\n", + " <td>0.806169</td>\n", + " <td>0.808102</td>\n", + " <td>0.806828</td>\n", + " <td>5628.000000</td>\n", + " <td>0.771480</td>\n", + " <td>0.771743</td>\n", + " <td>0.770530</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>weighted avg</th>\n", + " <td>0.806169</td>\n", + " <td>0.808102</td>\n", + " <td>0.806828</td>\n", + " <td>5628.000000</td>\n", + " <td>0.771161</td>\n", + " <td>0.769455</td>\n", + " <td>0.769222</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " precision recall f1-score support precision recall \\\n", + "source train train train train test test \n", + "model_type LogReg LogReg LogReg LogReg LogReg LogReg \n", + "LAYING 0.761204 0.772566 0.766843 1407.000000 0.690702 0.677840 \n", + "SITTING 0.747636 0.730633 0.739037 1407.000000 0.687970 0.745418 \n", + "STANDING 0.791356 0.754797 0.772645 1407.000000 0.833684 0.744361 \n", + "WALKING 0.924477 0.974414 0.948789 1407.000000 0.873563 0.919355 \n", + "accuracy 0.808102 0.808102 0.808102 0.808102 0.769455 0.769455 \n", + "macro avg 0.806169 0.808102 0.806828 5628.000000 0.771480 0.771743 \n", + "weighted avg 0.806169 0.808102 0.806828 5628.000000 0.771161 0.769455 \n", + "\n", + " f1-score support \n", + "source test test \n", + "model_type LogReg LogReg \n", + "LAYING 0.684211 537.000000 \n", + "SITTING 0.715543 491.000000 \n", + "STANDING 0.786495 532.000000 \n", + "WALKING 0.895874 496.000000 \n", + "accuracy 0.769455 0.769455 \n", + "macro avg 0.770530 2056.000000 \n", + "weighted avg 0.769222 2056.000000 " + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_LogisticRegression = make_results(classification_report_train, classification_report_test, 'LogReg')\n", + "results_LogisticRegression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Decision Tree" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "# Pipeline\n", + "pipeline4 = Pipeline([\n", + " (\"scaler\", StandardScaler()),\n", + " (\"decisiontree\", OneVsRestClassifier(DecisionTreeClassifier()))\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GridSearchCV(estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('decisiontree',\n", + " OneVsRestClassifier(estimator=DecisionTreeClassifier()))]),\n", + " param_grid={})" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#GridSearchCV-Object\n", + "clf4 = GridSearchCV(pipeline4, param_grid = {})\n", + "clf4.fit(X_train_resampled, y_train_resampled)" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best parameters {}\n", + "Best model score: 0.6778698243536609\n" + ] + } + ], + "source": [ + "print('Best parameters ' + str(clf4.best_params_))\n", + "print('Best model score: ' + str(clf4.best_score_))" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [], + "source": [ + "classification_report_test = classification_report(y_test, clf4.best_estimator_.predict(X_test), output_dict=True)\n", + "classification_report_train = classification_report(y_train_resampled, clf4.best_estimator_.predict(X_train_resampled), output_dict=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead tr th {\n", + " text-align: left;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr>\n", + " <th></th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " </tr>\n", + " <tr>\n", + " <th>source</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " </tr>\n", + " <tr>\n", + " <th>model_type</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " <th>DecisionTree</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>LAYING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.803797</td>\n", + " <td>0.472998</td>\n", + " <td>0.595545</td>\n", + " <td>537.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SITTING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.642132</td>\n", + " <td>0.515275</td>\n", + " <td>0.571751</td>\n", + " <td>491.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>STANDING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.695391</td>\n", + " <td>0.652256</td>\n", + " <td>0.673133</td>\n", + " <td>532.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>WALKING</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1407.0</td>\n", + " <td>0.578512</td>\n", + " <td>0.987903</td>\n", + " <td>0.729710</td>\n", + " <td>496.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>accuracy</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>0.653696</td>\n", + " <td>0.653696</td>\n", + " <td>0.653696</td>\n", + " <td>0.653696</td>\n", + " </tr>\n", + " <tr>\n", + " <th>macro avg</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>5628.0</td>\n", + " <td>0.679958</td>\n", + " <td>0.657108</td>\n", + " <td>0.642535</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>weighted avg</th>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>1.0</td>\n", + " <td>5628.0</td>\n", + " <td>0.682790</td>\n", + " <td>0.653696</td>\n", + " <td>0.642306</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " precision recall f1-score support precision \\\n", + "source train train train train test \n", + "model_type DecisionTree DecisionTree DecisionTree DecisionTree DecisionTree \n", + "LAYING 1.0 1.0 1.0 1407.0 0.803797 \n", + "SITTING 1.0 1.0 1.0 1407.0 0.642132 \n", + "STANDING 1.0 1.0 1.0 1407.0 0.695391 \n", + "WALKING 1.0 1.0 1.0 1407.0 0.578512 \n", + "accuracy 1.0 1.0 1.0 1.0 0.653696 \n", + "macro avg 1.0 1.0 1.0 5628.0 0.679958 \n", + "weighted avg 1.0 1.0 1.0 5628.0 0.682790 \n", + "\n", + " recall f1-score support \n", + "source test test test \n", + "model_type DecisionTree DecisionTree DecisionTree \n", + "LAYING 0.472998 0.595545 537.000000 \n", + "SITTING 0.515275 0.571751 491.000000 \n", + "STANDING 0.652256 0.673133 532.000000 \n", + "WALKING 0.987903 0.729710 496.000000 \n", + "accuracy 0.653696 0.653696 0.653696 \n", + "macro avg 0.657108 0.642535 2056.000000 \n", + "weighted avg 0.653696 0.642306 2056.000000 " + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_DecisionTree = make_results(classification_report_train, classification_report_test, 'DecisionTree')\n", + "results_DecisionTree" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## SVM\n", + "Support Vector Machine" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [], + "source": [ + "# Pipeline\n", + "pipeline5 = Pipeline([\n", + " (\"scaler\", StandardScaler()),\n", + " (\"svm\", OneVsRestClassifier(svm.SVC()))\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [], + "source": [ + "param_grid = {\n", + " 'svm__estimator__kernel': ['linear']}" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GridSearchCV(estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('svm',\n", + " OneVsRestClassifier(estimator=SVC()))]),\n", + " param_grid={'svm__estimator__kernel': ['linear']})" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#GridSearchCV-Object\n", + "clf5 = GridSearchCV(pipeline5, param_grid)\n", + "clf5.fit(X_train_resampled, y_train_resampled)" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best parameters {'svm__estimator__kernel': 'linear'}\n", + "Best model score: 0.776133570159858\n" + ] + } + ], + "source": [ + "print('Best parameters ' + str(clf5.best_params_))\n", + "print('Best model score: ' + str(clf5.best_score_))" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>mean_fit_time</th>\n", + " <th>std_fit_time</th>\n", + " <th>mean_score_time</th>\n", + " <th>std_score_time</th>\n", + " <th>param_svm__estimator__kernel</th>\n", + " <th>params</th>\n", + " <th>split0_test_score</th>\n", + " <th>split1_test_score</th>\n", + " <th>split2_test_score</th>\n", + " <th>split3_test_score</th>\n", + " <th>split4_test_score</th>\n", + " <th>mean_test_score</th>\n", + " <th>std_test_score</th>\n", + " <th>rank_test_score</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>6.828282</td>\n", + " <td>0.334218</td>\n", + " <td>0.329354</td>\n", + " <td>0.019774</td>\n", + " <td>linear</td>\n", + " <td>{'svm__estimator__kernel': 'linear'}</td>\n", + " <td>0.740675</td>\n", + " <td>0.723801</td>\n", + " <td>0.784192</td>\n", + " <td>0.818667</td>\n", + " <td>0.813333</td>\n", + " <td>0.776134</td>\n", + " <td>0.038089</td>\n", + " <td>1</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " mean_fit_time std_fit_time mean_score_time std_score_time \\\n", + "0 6.828282 0.334218 0.329354 0.019774 \n", + "\n", + " param_svm__estimator__kernel params \\\n", + "0 linear {'svm__estimator__kernel': 'linear'} \n", + "\n", + " split0_test_score split1_test_score split2_test_score split3_test_score \\\n", + "0 0.740675 0.723801 0.784192 0.818667 \n", + "\n", + " split4_test_score mean_test_score std_test_score rank_test_score \n", + "0 0.813333 0.776134 0.038089 1 " + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_SVM= pd.DataFrame(clf5.cv_results_)\n", + "results_SVM" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [], + "source": [ + "classification_report_test = classification_report(y_test, clf5.best_estimator_.predict(X_test), output_dict=True)\n", + "classification_report_train = classification_report(y_train_resampled, clf5.best_estimator_.predict(X_train_resampled), output_dict=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead tr th {\n", + " text-align: left;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr>\n", + " <th></th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " <th>precision</th>\n", + " <th>recall</th>\n", + " <th>f1-score</th>\n", + " <th>support</th>\n", + " </tr>\n", + " <tr>\n", + " <th>source</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>train</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " <th>test</th>\n", + " </tr>\n", + " <tr>\n", + " <th>model_type</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " <th>SVM</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>LAYING</th>\n", + " <td>0.773826</td>\n", + " <td>0.773276</td>\n", + " <td>0.773551</td>\n", + " <td>1407.000000</td>\n", + " <td>0.689394</td>\n", + " <td>0.677840</td>\n", + " <td>0.683568</td>\n", + " <td>537.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SITTING</th>\n", + " <td>0.753613</td>\n", + " <td>0.741294</td>\n", + " <td>0.747402</td>\n", + " <td>1407.000000</td>\n", + " <td>0.675978</td>\n", + " <td>0.739308</td>\n", + " <td>0.706226</td>\n", + " <td>491.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>STANDING</th>\n", + " <td>0.790169</td>\n", + " <td>0.765458</td>\n", + " <td>0.777617</td>\n", + " <td>1407.000000</td>\n", + " <td>0.837607</td>\n", + " <td>0.736842</td>\n", + " <td>0.784000</td>\n", + " <td>532.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>WALKING</th>\n", + " <td>0.931525</td>\n", + " <td>0.976546</td>\n", + " <td>0.953505</td>\n", + " <td>1407.000000</td>\n", + " <td>0.871893</td>\n", + " <td>0.919355</td>\n", + " <td>0.894995</td>\n", + " <td>496.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>accuracy</th>\n", + " <td>0.814144</td>\n", + " <td>0.814144</td>\n", + " <td>0.814144</td>\n", + " <td>0.814144</td>\n", + " <td>0.766051</td>\n", + " <td>0.766051</td>\n", + " <td>0.766051</td>\n", + " <td>0.766051</td>\n", + " </tr>\n", + " <tr>\n", + " <th>macro avg</th>\n", + " <td>0.812283</td>\n", + " <td>0.814144</td>\n", + " <td>0.813019</td>\n", + " <td>5628.000000</td>\n", + " <td>0.768718</td>\n", + " <td>0.768336</td>\n", + " <td>0.767197</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>weighted avg</th>\n", + " <td>0.812283</td>\n", + " <td>0.814144</td>\n", + " <td>0.813019</td>\n", + " <td>5628.000000</td>\n", + " <td>0.768568</td>\n", + " <td>0.766051</td>\n", + " <td>0.765972</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " precision recall f1-score support precision recall \\\n", + "source train train train train test test \n", + "model_type SVM SVM SVM SVM SVM SVM \n", + "LAYING 0.773826 0.773276 0.773551 1407.000000 0.689394 0.677840 \n", + "SITTING 0.753613 0.741294 0.747402 1407.000000 0.675978 0.739308 \n", + "STANDING 0.790169 0.765458 0.777617 1407.000000 0.837607 0.736842 \n", + "WALKING 0.931525 0.976546 0.953505 1407.000000 0.871893 0.919355 \n", + "accuracy 0.814144 0.814144 0.814144 0.814144 0.766051 0.766051 \n", + "macro avg 0.812283 0.814144 0.813019 5628.000000 0.768718 0.768336 \n", + "weighted avg 0.812283 0.814144 0.813019 5628.000000 0.768568 0.766051 \n", + "\n", + " f1-score support \n", + "source test test \n", + "model_type SVM SVM \n", + "LAYING 0.683568 537.000000 \n", + "SITTING 0.706226 491.000000 \n", + "STANDING 0.784000 532.000000 \n", + "WALKING 0.894995 496.000000 \n", + "accuracy 0.766051 0.766051 \n", + "macro avg 0.767197 2056.000000 \n", + "weighted avg 0.765972 2056.000000 " + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_SVM = make_results(classification_report_train, classification_report_test, 'SVM')\n", + "results_SVM" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [], + "source": [ + "frames = [results_KNN, \n", + " results_RandomForest,\n", + " results_LogisticRegression,\n", + " results_DecisionTree,\n", + " results_SVM,\n", + " ]\n", + "final_results = pd.concat(frames, axis=1).reindex(frames[0].index).transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th>LAYING</th>\n", + " <th>SITTING</th>\n", + " <th>STANDING</th>\n", + " <th>WALKING</th>\n", + " <th>accuracy</th>\n", + " <th>macro avg</th>\n", + " <th>weighted avg</th>\n", + " </tr>\n", + " <tr>\n", + " <th></th>\n", + " <th>source</th>\n", + " <th>model_type</th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">f1-score</th>\n", + " <th rowspan=\"5\" valign=\"top\">test</th>\n", + " <th>DecisionTree</th>\n", + " <td>0.595545</td>\n", + " <td>0.571751</td>\n", + " <td>0.673133</td>\n", + " <td>0.729710</td>\n", + " <td>0.653696</td>\n", + " <td>0.642535</td>\n", + " <td>0.642306</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.725720</td>\n", + " <td>0.670487</td>\n", + " <td>0.794275</td>\n", + " <td>0.974257</td>\n", + " <td>0.791342</td>\n", + " <td>0.791185</td>\n", + " <td>0.790227</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.684211</td>\n", + " <td>0.715543</td>\n", + " <td>0.786495</td>\n", + " <td>0.895874</td>\n", + " <td>0.769455</td>\n", + " <td>0.770530</td>\n", + " <td>0.769222</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>0.805318</td>\n", + " <td>0.773994</td>\n", + " <td>0.845018</td>\n", + " <td>0.984095</td>\n", + " <td>0.852140</td>\n", + " <td>0.852106</td>\n", + " <td>0.851239</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.683568</td>\n", + " <td>0.706226</td>\n", + " <td>0.784000</td>\n", + " <td>0.894995</td>\n", + " <td>0.766051</td>\n", + " <td>0.767197</td>\n", + " <td>0.765972</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">precision</th>\n", + " <th rowspan=\"5\" valign=\"top\">test</th>\n", + " <th>DecisionTree</th>\n", + " <td>0.803797</td>\n", + " <td>0.642132</td>\n", + " <td>0.695391</td>\n", + " <td>0.578512</td>\n", + " <td>0.653696</td>\n", + " <td>0.679958</td>\n", + " <td>0.682790</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.850000</td>\n", + " <td>0.631295</td>\n", + " <td>0.757679</td>\n", + " <td>0.957198</td>\n", + " <td>0.791342</td>\n", + " <td>0.799043</td>\n", + " <td>0.799743</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.690702</td>\n", + " <td>0.687970</td>\n", + " <td>0.833684</td>\n", + " <td>0.873563</td>\n", + " <td>0.769455</td>\n", + " <td>0.771480</td>\n", + " <td>0.771161</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>0.821705</td>\n", + " <td>0.784519</td>\n", + " <td>0.829710</td>\n", + " <td>0.970588</td>\n", + " <td>0.852140</td>\n", + " <td>0.851631</td>\n", + " <td>0.850813</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.689394</td>\n", + " <td>0.675978</td>\n", + " <td>0.837607</td>\n", + " <td>0.871893</td>\n", + " <td>0.766051</td>\n", + " <td>0.768718</td>\n", + " <td>0.768568</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">recall</th>\n", + " <th rowspan=\"5\" valign=\"top\">test</th>\n", + " <th>DecisionTree</th>\n", + " <td>0.472998</td>\n", + " <td>0.515275</td>\n", + " <td>0.652256</td>\n", + " <td>0.987903</td>\n", + " <td>0.653696</td>\n", + " <td>0.657108</td>\n", + " <td>0.653696</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.633147</td>\n", + " <td>0.714868</td>\n", + " <td>0.834586</td>\n", + " <td>0.991935</td>\n", + " <td>0.791342</td>\n", + " <td>0.793634</td>\n", + " <td>0.791342</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.677840</td>\n", + " <td>0.745418</td>\n", + " <td>0.744361</td>\n", + " <td>0.919355</td>\n", + " <td>0.769455</td>\n", + " <td>0.771743</td>\n", + " <td>0.769455</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>0.789572</td>\n", + " <td>0.763747</td>\n", + " <td>0.860902</td>\n", + " <td>0.997984</td>\n", + " <td>0.852140</td>\n", + " <td>0.853051</td>\n", + " <td>0.852140</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.677840</td>\n", + " <td>0.739308</td>\n", + " <td>0.736842</td>\n", + " <td>0.919355</td>\n", + " <td>0.766051</td>\n", + " <td>0.768336</td>\n", + " <td>0.766051</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">support</th>\n", + " <th rowspan=\"5\" valign=\"top\">test</th>\n", + " <th>DecisionTree</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.653696</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.791342</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.769455</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.852140</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.766051</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">f1-score</th>\n", + " <th rowspan=\"5\" valign=\"top\">train</th>\n", + " <th>DecisionTree</th>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.855417</td>\n", + " <td>0.801724</td>\n", + " <td>0.852437</td>\n", + " <td>0.988062</td>\n", + " <td>0.874911</td>\n", + " <td>0.874410</td>\n", + " <td>0.874410</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.766843</td>\n", + " <td>0.739037</td>\n", + " <td>0.772645</td>\n", + " <td>0.948789</td>\n", + " <td>0.808102</td>\n", + " <td>0.806828</td>\n", + " <td>0.806828</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.773551</td>\n", + " <td>0.747402</td>\n", + " <td>0.777617</td>\n", + " <td>0.953505</td>\n", + " <td>0.814144</td>\n", + " <td>0.813019</td>\n", + " <td>0.813019</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">precision</th>\n", + " <th rowspan=\"5\" valign=\"top\">train</th>\n", + " <th>DecisionTree</th>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.912238</td>\n", + " <td>0.810458</td>\n", + " <td>0.808673</td>\n", + " <td>0.976405</td>\n", + " <td>0.874911</td>\n", + " <td>0.876944</td>\n", + " <td>0.876944</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.761204</td>\n", + " <td>0.747636</td>\n", + " <td>0.791356</td>\n", + " <td>0.924477</td>\n", + " <td>0.808102</td>\n", + " <td>0.806169</td>\n", + " <td>0.806169</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.773826</td>\n", + " <td>0.753613</td>\n", + " <td>0.790169</td>\n", + " <td>0.931525</td>\n", + " <td>0.814144</td>\n", + " <td>0.812283</td>\n", + " <td>0.812283</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">recall</th>\n", + " <th rowspan=\"5\" valign=\"top\">train</th>\n", + " <th>DecisionTree</th>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.805259</td>\n", + " <td>0.793177</td>\n", + " <td>0.901208</td>\n", + " <td>1.000000</td>\n", + " <td>0.874911</td>\n", + " <td>0.874911</td>\n", + " <td>0.874911</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.772566</td>\n", + " <td>0.730633</td>\n", + " <td>0.754797</td>\n", + " <td>0.974414</td>\n", + " <td>0.808102</td>\n", + " <td>0.808102</td>\n", + " <td>0.808102</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.773276</td>\n", + " <td>0.741294</td>\n", + " <td>0.765458</td>\n", + " <td>0.976546</td>\n", + " <td>0.814144</td>\n", + " <td>0.814144</td>\n", + " <td>0.814144</td>\n", + " </tr>\n", + " <tr>\n", + " <th rowspan=\"5\" valign=\"top\">support</th>\n", + " <th rowspan=\"5\" valign=\"top\">train</th>\n", + " <th>DecisionTree</th>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1.000000</td>\n", + " <td>5628.000000</td>\n", + " <td>5628.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>0.874911</td>\n", + " <td>5628.000000</td>\n", + " <td>5628.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>0.808102</td>\n", + " <td>5628.000000</td>\n", + " <td>5628.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1.000000</td>\n", + " <td>5628.000000</td>\n", + " <td>5628.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>1407.000000</td>\n", + " <td>0.814144</td>\n", + " <td>5628.000000</td>\n", + " <td>5628.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " LAYING SITTING STANDING \\\n", + " source model_type \n", + "f1-score test DecisionTree 0.595545 0.571751 0.673133 \n", + " KNN 0.725720 0.670487 0.794275 \n", + " LogReg 0.684211 0.715543 0.786495 \n", + " RandomForest 0.805318 0.773994 0.845018 \n", + " SVM 0.683568 0.706226 0.784000 \n", + "precision test DecisionTree 0.803797 0.642132 0.695391 \n", + " KNN 0.850000 0.631295 0.757679 \n", + " LogReg 0.690702 0.687970 0.833684 \n", + " RandomForest 0.821705 0.784519 0.829710 \n", + " SVM 0.689394 0.675978 0.837607 \n", + "recall test DecisionTree 0.472998 0.515275 0.652256 \n", + " KNN 0.633147 0.714868 0.834586 \n", + " LogReg 0.677840 0.745418 0.744361 \n", + " RandomForest 0.789572 0.763747 0.860902 \n", + " SVM 0.677840 0.739308 0.736842 \n", + "support test DecisionTree 537.000000 491.000000 532.000000 \n", + " KNN 537.000000 491.000000 532.000000 \n", + " LogReg 537.000000 491.000000 532.000000 \n", + " RandomForest 537.000000 491.000000 532.000000 \n", + " SVM 537.000000 491.000000 532.000000 \n", + "f1-score train DecisionTree 1.000000 1.000000 1.000000 \n", + " KNN 0.855417 0.801724 0.852437 \n", + " LogReg 0.766843 0.739037 0.772645 \n", + " RandomForest 1.000000 1.000000 1.000000 \n", + " SVM 0.773551 0.747402 0.777617 \n", + "precision train DecisionTree 1.000000 1.000000 1.000000 \n", + " KNN 0.912238 0.810458 0.808673 \n", + " LogReg 0.761204 0.747636 0.791356 \n", + " RandomForest 1.000000 1.000000 1.000000 \n", + " SVM 0.773826 0.753613 0.790169 \n", + "recall train DecisionTree 1.000000 1.000000 1.000000 \n", + " KNN 0.805259 0.793177 0.901208 \n", + " LogReg 0.772566 0.730633 0.754797 \n", + " RandomForest 1.000000 1.000000 1.000000 \n", + " SVM 0.773276 0.741294 0.765458 \n", + "support train DecisionTree 1407.000000 1407.000000 1407.000000 \n", + " KNN 1407.000000 1407.000000 1407.000000 \n", + " LogReg 1407.000000 1407.000000 1407.000000 \n", + " RandomForest 1407.000000 1407.000000 1407.000000 \n", + " SVM 1407.000000 1407.000000 1407.000000 \n", + "\n", + " WALKING accuracy macro avg \\\n", + " source model_type \n", + "f1-score test DecisionTree 0.729710 0.653696 0.642535 \n", + " KNN 0.974257 0.791342 0.791185 \n", + " LogReg 0.895874 0.769455 0.770530 \n", + " RandomForest 0.984095 0.852140 0.852106 \n", + " SVM 0.894995 0.766051 0.767197 \n", + "precision test DecisionTree 0.578512 0.653696 0.679958 \n", + " KNN 0.957198 0.791342 0.799043 \n", + " LogReg 0.873563 0.769455 0.771480 \n", + " RandomForest 0.970588 0.852140 0.851631 \n", + " SVM 0.871893 0.766051 0.768718 \n", + "recall test DecisionTree 0.987903 0.653696 0.657108 \n", + " KNN 0.991935 0.791342 0.793634 \n", + " LogReg 0.919355 0.769455 0.771743 \n", + " RandomForest 0.997984 0.852140 0.853051 \n", + " SVM 0.919355 0.766051 0.768336 \n", + "support test DecisionTree 496.000000 0.653696 2056.000000 \n", + " KNN 496.000000 0.791342 2056.000000 \n", + " LogReg 496.000000 0.769455 2056.000000 \n", + " RandomForest 496.000000 0.852140 2056.000000 \n", + " SVM 496.000000 0.766051 2056.000000 \n", + "f1-score train DecisionTree 1.000000 1.000000 1.000000 \n", + " KNN 0.988062 0.874911 0.874410 \n", + " LogReg 0.948789 0.808102 0.806828 \n", + " RandomForest 1.000000 1.000000 1.000000 \n", + " SVM 0.953505 0.814144 0.813019 \n", + "precision train DecisionTree 1.000000 1.000000 1.000000 \n", + " KNN 0.976405 0.874911 0.876944 \n", + " LogReg 0.924477 0.808102 0.806169 \n", + " RandomForest 1.000000 1.000000 1.000000 \n", + " SVM 0.931525 0.814144 0.812283 \n", + "recall train DecisionTree 1.000000 1.000000 1.000000 \n", + " KNN 1.000000 0.874911 0.874911 \n", + " LogReg 0.974414 0.808102 0.808102 \n", + " RandomForest 1.000000 1.000000 1.000000 \n", + " SVM 0.976546 0.814144 0.814144 \n", + "support train DecisionTree 1407.000000 1.000000 5628.000000 \n", + " KNN 1407.000000 0.874911 5628.000000 \n", + " LogReg 1407.000000 0.808102 5628.000000 \n", + " RandomForest 1407.000000 1.000000 5628.000000 \n", + " SVM 1407.000000 0.814144 5628.000000 \n", + "\n", + " weighted avg \n", + " source model_type \n", + "f1-score test DecisionTree 0.642306 \n", + " KNN 0.790227 \n", + " LogReg 0.769222 \n", + " RandomForest 0.851239 \n", + " SVM 0.765972 \n", + "precision test DecisionTree 0.682790 \n", + " KNN 0.799743 \n", + " LogReg 0.771161 \n", + " RandomForest 0.850813 \n", + " SVM 0.768568 \n", + "recall test DecisionTree 0.653696 \n", + " KNN 0.791342 \n", + " LogReg 0.769455 \n", + " RandomForest 0.852140 \n", + " SVM 0.766051 \n", + "support test DecisionTree 2056.000000 \n", + " KNN 2056.000000 \n", + " LogReg 2056.000000 \n", + " RandomForest 2056.000000 \n", + " SVM 2056.000000 \n", + "f1-score train DecisionTree 1.000000 \n", + " KNN 0.874410 \n", + " LogReg 0.806828 \n", + " RandomForest 1.000000 \n", + " SVM 0.813019 \n", + "precision train DecisionTree 1.000000 \n", + " KNN 0.876944 \n", + " LogReg 0.806169 \n", + " RandomForest 1.000000 \n", + " SVM 0.812283 \n", + "recall train DecisionTree 1.000000 \n", + " KNN 0.874911 \n", + " LogReg 0.808102 \n", + " RandomForest 1.000000 \n", + " SVM 0.814144 \n", + "support train DecisionTree 5628.000000 \n", + " KNN 5628.000000 \n", + " LogReg 5628.000000 \n", + " RandomForest 5628.000000 \n", + " SVM 5628.000000 " + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "final_results.sort_index(level=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [], + "source": [ + "final_results.sort_index(level=1).to_csv('Results_VIF_lower10.csv')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 5. Evaluation" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [], + "source": [ + "#helper function\n", + "def make_confusion_matrix(y_test, X_test, the_clf):\n", + " y_pred = the_clf.best_estimator_.predict(X_test)\n", + " cf_matrix = confusion_matrix(y_test,y_pred)\n", + " df_cf_matrix = pd.DataFrame(cf_matrix,columns=the_clf.best_estimator_.steps[1][1].classes_)\n", + " df_cf_matrix.index = the_clf.best_estimator_.steps[1][1].classes_\n", + " \n", + " plt.figure(figsize=(28,7))\n", + "\n", + " plt.subplot(1,3,1) # first heatmap\n", + " heatmap1 = sns.heatmap(df_cf_matrix, annot=True,fmt='d');\n", + " heatmap1.yaxis.set_ticklabels(heatmap1.yaxis.get_ticklabels(), rotation=0, ha='right', fontsize=10)\n", + " heatmap1.xaxis.set_ticklabels(heatmap1.xaxis.get_ticklabels(), rotation=45, ha='right', fontsize=10)\n", + " plt.ylabel('True label')\n", + " plt.xlabel('Predicted label')\n", + "\n", + " plt.subplot(1,3,2) # second heatmap\n", + " heatmap2 = sns.heatmap(df_cf_matrix/np.sum(df_cf_matrix), annot=True, fmt='.2%')\n", + " heatmap2.yaxis.set_ticklabels(heatmap2.yaxis.get_ticklabels(), rotation=0, ha='right', fontsize=10)\n", + " heatmap2.xaxis.set_ticklabels(heatmap2.xaxis.get_ticklabels(), rotation=45, ha='right', fontsize=10)\n", + " plt.ylabel('True label')\n", + " plt.xlabel('Predicted label')\n", + "\n", + " fig_name = str(the_clf.best_estimator_.steps[1][1].estimators_[0]) + '_confusionMatrix.png'\n", + " plt.savefig(fig_name, dpi=150, format='png')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Achieved accuracy" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>accuracy_train</th>\n", + " <th>accuracy_test</th>\n", + " <th>model</th>\n", + " <th>diff_train_test</th>\n", + " </tr>\n", + " <tr>\n", + " <th>model_type</th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>KNN</th>\n", + " <td>0.874911</td>\n", + " <td>0.791342</td>\n", + " <td>KNN</td>\n", + " <td>0.083569</td>\n", + " </tr>\n", + " <tr>\n", + " <th>RandomForest</th>\n", + " <td>1.000000</td>\n", + " <td>0.852140</td>\n", + " <td>RandomForest</td>\n", + " <td>0.147860</td>\n", + " </tr>\n", + " <tr>\n", + " <th>LogReg</th>\n", + " <td>0.808102</td>\n", + " <td>0.769455</td>\n", + " <td>LogReg</td>\n", + " <td>0.038647</td>\n", + " </tr>\n", + " <tr>\n", + " <th>DecisionTree</th>\n", + " <td>1.000000</td>\n", + " <td>0.653696</td>\n", + " <td>DecisionTree</td>\n", + " <td>0.346304</td>\n", + " </tr>\n", + " <tr>\n", + " <th>SVM</th>\n", + " <td>0.814144</td>\n", + " <td>0.766051</td>\n", + " <td>SVM</td>\n", + " <td>0.048093</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " accuracy_train accuracy_test model diff_train_test\n", + "model_type \n", + "KNN 0.874911 0.791342 KNN 0.083569\n", + "RandomForest 1.000000 0.852140 RandomForest 0.147860\n", + "LogReg 0.808102 0.769455 LogReg 0.038647\n", + "DecisionTree 1.000000 0.653696 DecisionTree 0.346304\n", + "SVM 0.814144 0.766051 SVM 0.048093" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_train_test = pd.DataFrame()\n", + "accuracy_train_test['accuracy_train'] = final_results.xs(\"train\", level=1).xs(\"precision\", level=0)['accuracy']\n", + "accuracy_train_test['accuracy_test'] = final_results.xs(\"test\", level=1).xs(\"precision\", level=0)['accuracy']\n", + "accuracy_train_test['model'] = accuracy_train_test.index\n", + "\n", + "accuracy_train_test['diff_train_test'] = accuracy_train_test['accuracy_train'] - accuracy_train_test['accuracy_test']\n", + "accuracy_train_test" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 720x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,7))\n", + "df_temp = accuracy_train_test.melt('model', var_name='cols', value_name='vals')\n", + "ax = sns.barplot(x=\"model\", y=\"vals\", hue=\"cols\", data=df_temp)\n", + "#for index, row in df_temp:\n", + "# ax.text(row.name,row.vals, round(row.vals,2), color='black', ha=\"center\")\n", + "for p in ax.patches:\n", + " ax.annotate(format(p.get_height(), '.3f'), \n", + " (p.get_x() + p.get_width() / 2., p.get_height()), \n", + " ha = 'center', va = 'center', \n", + " xytext = (0, 9), \n", + " textcoords = 'offset points')\n", + "plt.ylabel('Accuracy')\n", + "plt.xlabel('Model')\n", + "\n", + "fig_name = 'Accuracy_performance.png'\n", + "plt.savefig(fig_name, dpi=150, format='png')" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>model</th>\n", + " <th>cols</th>\n", + " <th>vals</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>KNN</td>\n", + " <td>accuracy_train</td>\n", + " <td>0.874911</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>RandomForest</td>\n", + " <td>accuracy_train</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>LogReg</td>\n", + " <td>accuracy_train</td>\n", + " <td>0.808102</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>DecisionTree</td>\n", + " <td>accuracy_train</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>SVM</td>\n", + " <td>accuracy_train</td>\n", + " <td>0.814144</td>\n", + " </tr>\n", + " <tr>\n", + " <th>5</th>\n", + " <td>KNN</td>\n", + " <td>accuracy_test</td>\n", + " <td>0.791342</td>\n", + " </tr>\n", + " <tr>\n", + " <th>6</th>\n", + " <td>RandomForest</td>\n", + " <td>accuracy_test</td>\n", + " <td>0.852140</td>\n", + " </tr>\n", + " <tr>\n", + " <th>7</th>\n", + " <td>LogReg</td>\n", + " <td>accuracy_test</td>\n", + " <td>0.769455</td>\n", + " </tr>\n", + " <tr>\n", + " <th>8</th>\n", + " <td>DecisionTree</td>\n", + " <td>accuracy_test</td>\n", + " <td>0.653696</td>\n", + " </tr>\n", + " <tr>\n", + " <th>9</th>\n", + " <td>SVM</td>\n", + " <td>accuracy_test</td>\n", + " <td>0.766051</td>\n", + " </tr>\n", + " <tr>\n", + " <th>10</th>\n", + " <td>KNN</td>\n", + " <td>diff_train_test</td>\n", + " <td>0.083569</td>\n", + " </tr>\n", + " <tr>\n", + " <th>11</th>\n", + " <td>RandomForest</td>\n", + " <td>diff_train_test</td>\n", + " <td>0.147860</td>\n", + " </tr>\n", + " <tr>\n", + " <th>12</th>\n", + " <td>LogReg</td>\n", + " <td>diff_train_test</td>\n", + " <td>0.038647</td>\n", + " </tr>\n", + " <tr>\n", + " <th>13</th>\n", + " <td>DecisionTree</td>\n", + " <td>diff_train_test</td>\n", + " <td>0.346304</td>\n", + " </tr>\n", + " <tr>\n", + " <th>14</th>\n", + " <td>SVM</td>\n", + " <td>diff_train_test</td>\n", + " <td>0.048093</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " model cols vals\n", + "0 KNN accuracy_train 0.874911\n", + "1 RandomForest accuracy_train 1.000000\n", + "2 LogReg accuracy_train 0.808102\n", + "3 DecisionTree accuracy_train 1.000000\n", + "4 SVM accuracy_train 0.814144\n", + "5 KNN accuracy_test 0.791342\n", + "6 RandomForest accuracy_test 0.852140\n", + "7 LogReg accuracy_test 0.769455\n", + "8 DecisionTree accuracy_test 0.653696\n", + "9 SVM accuracy_test 0.766051\n", + "10 KNN diff_train_test 0.083569\n", + "11 RandomForest diff_train_test 0.147860\n", + "12 LogReg diff_train_test 0.038647\n", + "13 DecisionTree diff_train_test 0.346304\n", + "14 SVM diff_train_test 0.048093" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_temp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* **KNN** --> Performance on test data is ca. 8% lower than on training data. Probably the model **overfits** on training data and does not generalize well on unseen test data.\n", + "* **Random Forest** --> Performance on test data is 15% lower than on training data. The model **overfits** on training data and does not generalize well on unseen test data.\n", + "* **Logistic Regression** --> training and test performance are very similar (diff=3.9%). This probably means that the created model **generalizes well** on new data.\n", + "* **Decision Tree** --> Performance on test data is 34% lower than on training data. The model **overfits** on training data and does not generalize well on unseen test data.\n", + "* **Support Vector Machine** --> training and test performance are very similar (diff=4.8%). This probably means that the created model **generalizes well** on new data.\n", + "\n", + "-->Let´s check the confusion matrix of the two best models" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Confusion Matrix-Logistic Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 2016x504 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "make_confusion_matrix(y_test,X_test, clf3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Confusion Matrix-SVM" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 2016x504 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "make_confusion_matrix(y_test,X_test, clf5)" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th>LAYING</th>\n", + " <th>SITTING</th>\n", + " <th>STANDING</th>\n", + " <th>WALKING</th>\n", + " <th>accuracy</th>\n", + " <th>macro avg</th>\n", + " <th>weighted avg</th>\n", + " </tr>\n", + " <tr>\n", + " <th></th>\n", + " <th>source</th>\n", + " <th>model_type</th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>precision</th>\n", + " <th>test</th>\n", + " <th>LogReg</th>\n", + " <td>0.690702</td>\n", + " <td>0.687970</td>\n", + " <td>0.833684</td>\n", + " <td>0.873563</td>\n", + " <td>0.769455</td>\n", + " <td>0.771480</td>\n", + " <td>0.771161</td>\n", + " </tr>\n", + " <tr>\n", + " <th>recall</th>\n", + " <th>test</th>\n", + " <th>LogReg</th>\n", + " <td>0.677840</td>\n", + " <td>0.745418</td>\n", + " <td>0.744361</td>\n", + " <td>0.919355</td>\n", + " <td>0.769455</td>\n", + " <td>0.771743</td>\n", + " <td>0.769455</td>\n", + " </tr>\n", + " <tr>\n", + " <th>f1-score</th>\n", + " <th>test</th>\n", + " <th>LogReg</th>\n", + " <td>0.684211</td>\n", + " <td>0.715543</td>\n", + " <td>0.786495</td>\n", + " <td>0.895874</td>\n", + " <td>0.769455</td>\n", + " <td>0.770530</td>\n", + " <td>0.769222</td>\n", + " </tr>\n", + " <tr>\n", + " <th>support</th>\n", + " <th>test</th>\n", + " <th>LogReg</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.769455</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>precision</th>\n", + " <th>test</th>\n", + " <th>SVM</th>\n", + " <td>0.689394</td>\n", + " <td>0.675978</td>\n", + " <td>0.837607</td>\n", + " <td>0.871893</td>\n", + " <td>0.766051</td>\n", + " <td>0.768718</td>\n", + " <td>0.768568</td>\n", + " </tr>\n", + " <tr>\n", + " <th>recall</th>\n", + " <th>test</th>\n", + " <th>SVM</th>\n", + " <td>0.677840</td>\n", + " <td>0.739308</td>\n", + " <td>0.736842</td>\n", + " <td>0.919355</td>\n", + " <td>0.766051</td>\n", + " <td>0.768336</td>\n", + " <td>0.766051</td>\n", + " </tr>\n", + " <tr>\n", + " <th>f1-score</th>\n", + " <th>test</th>\n", + " <th>SVM</th>\n", + " <td>0.683568</td>\n", + " <td>0.706226</td>\n", + " <td>0.784000</td>\n", + " <td>0.894995</td>\n", + " <td>0.766051</td>\n", + " <td>0.767197</td>\n", + " <td>0.765972</td>\n", + " </tr>\n", + " <tr>\n", + " <th>support</th>\n", + " <th>test</th>\n", + " <th>SVM</th>\n", + " <td>537.000000</td>\n", + " <td>491.000000</td>\n", + " <td>532.000000</td>\n", + " <td>496.000000</td>\n", + " <td>0.766051</td>\n", + " <td>2056.000000</td>\n", + " <td>2056.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " LAYING SITTING STANDING WALKING \\\n", + " source model_type \n", + "precision test LogReg 0.690702 0.687970 0.833684 0.873563 \n", + "recall test LogReg 0.677840 0.745418 0.744361 0.919355 \n", + "f1-score test LogReg 0.684211 0.715543 0.786495 0.895874 \n", + "support test LogReg 537.000000 491.000000 532.000000 496.000000 \n", + "precision test SVM 0.689394 0.675978 0.837607 0.871893 \n", + "recall test SVM 0.677840 0.739308 0.736842 0.919355 \n", + "f1-score test SVM 0.683568 0.706226 0.784000 0.894995 \n", + "support test SVM 537.000000 491.000000 532.000000 496.000000 \n", + "\n", + " accuracy macro avg weighted avg \n", + " source model_type \n", + "precision test LogReg 0.769455 0.771480 0.771161 \n", + "recall test LogReg 0.769455 0.771743 0.769455 \n", + "f1-score test LogReg 0.769455 0.770530 0.769222 \n", + "support test LogReg 0.769455 2056.000000 2056.000000 \n", + "precision test SVM 0.766051 0.768718 0.768568 \n", + "recall test SVM 0.766051 0.768336 0.766051 \n", + "f1-score test SVM 0.766051 0.767197 0.765972 \n", + "support test SVM 0.766051 2056.000000 2056.000000 " + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "final_results.loc[(slice(None), 'test', ('LogReg','SVM')), :].to_csv('LogReg_SVM_results.csv')\n", + "final_results.loc[(slice(None), 'test', ('LogReg','SVM')), :]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Feature Importance\n", + "\n", + "* A One vs Rest Classifier exists of n individual classifiers (with n=number of classes). That makes it hard to interpret the feature importance for the whole OvsR-Classifier. One possible way is two determine the coefficients for each individual model and build the mean over each coefficient." + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [], + "source": [ + "def get_the_feature_importances(clfobject,est_name, functype):\n", + " feat_impts = []\n", + " #estimator have feature_importances_ attribute\n", + " if functype ==1:\n", + " for esti in clfobject.best_estimator_.named_steps[est_name].estimators_:\n", + " feat_impts.append(np.abs(esti.feature_importances_))\n", + " #estimator have coef_ attribute\n", + " if functype ==2:\n", + " for esti in clfobject.best_estimator_.named_steps[est_name].estimators_:\n", + " feat_impts.append(np.abs(esti.coef_[0]))\n", + " \n", + " return np.mean(feat_impts, axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "feature_importance = pd.DataFrame({},[])\n", + "feature_importance['Features'] = X_test.columns\n", + "feature_importance['Importance'] = get_the_feature_importances(clf3,'logreg',2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Results" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* The best model is the Logistic Regression OvsR Classifier. \n", + "* It has a good accuracy (0.77:test, 0.81:train) and a good precision (0.87:test) for the class 'WALKING'.\n", + "* The 10 most important feautures of this OvsR-Classifier are the following:" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>Features</th>\n", + " <th>Importance</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>15</th>\n", + " <td>tBodyGyro-entropy()-X</td>\n", + " <td>1.170518</td>\n", + " </tr>\n", + " <tr>\n", + " <th>16</th>\n", + " <td>tBodyGyro-entropy()-Y</td>\n", + " <td>1.070693</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>tBodyAcc-correlation()-Y,Z</td>\n", + " <td>0.791616</td>\n", + " </tr>\n", + " <tr>\n", + " <th>17</th>\n", + " <td>tBodyGyro-entropy()-Z</td>\n", + " <td>0.790347</td>\n", + " </tr>\n", + " <tr>\n", + " <th>14</th>\n", + " <td>tBodyGyro-mean()-Y</td>\n", + " <td>0.643740</td>\n", + " </tr>\n", + " <tr>\n", + " <th>32</th>\n", + " <td>fBodyGyro-meanFreq()-X</td>\n", + " <td>0.537990</td>\n", + " </tr>\n", + " <tr>\n", + " <th>29</th>\n", + " <td>fBodyAccJerk-maxInds-X</td>\n", + " <td>0.510996</td>\n", + " </tr>\n", + " <tr>\n", + " <th>18</th>\n", + " <td>tBodyGyro-correlation()-X,Y</td>\n", + " <td>0.501925</td>\n", + " </tr>\n", + " <tr>\n", + " <th>13</th>\n", + " <td>tBodyGyro-mean()-X</td>\n", + " <td>0.490046</td>\n", + " </tr>\n", + " <tr>\n", + " <th>19</th>\n", + " <td>tBodyGyro-correlation()-X,Z</td>\n", + " <td>0.468363</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Features Importance\n", + "15 tBodyGyro-entropy()-X 1.170518\n", + "16 tBodyGyro-entropy()-Y 1.070693\n", + "3 tBodyAcc-correlation()-Y,Z 0.791616\n", + "17 tBodyGyro-entropy()-Z 0.790347\n", + "14 tBodyGyro-mean()-Y 0.643740\n", + "32 fBodyGyro-meanFreq()-X 0.537990\n", + "29 fBodyAccJerk-maxInds-X 0.510996\n", + "18 tBodyGyro-correlation()-X,Y 0.501925\n", + "13 tBodyGyro-mean()-X 0.490046\n", + "19 tBodyGyro-correlation()-X,Z 0.468363" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "feature_importance.sort_values('Importance',ascending=0).head(10).to_csv('FeatureImportanceTop10.csv')\n", + "feature_importance.sort_values('Importance',ascending=0).to_csv('FeatureImportanceAll.csv')\n", + "feature_importance.sort_values('Importance',ascending=0).head(10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "-->The most of this important features comes from the **gyroscope sensor** in the smartphone" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Final model for deployment" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [], + "source": [ + "final_model = clf3.best_estimator_" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 6. Deployment\n", + "Test the prediction locally:" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>tBodyAcc-mean()-Y</th>\n", + " <th>tBodyAcc-correlation()-X,Y</th>\n", + " <th>tBodyAcc-correlation()-X,Z</th>\n", + " <th>tBodyAcc-correlation()-Y,Z</th>\n", + " <th>tGravityAcc-correlation()-X,Y</th>\n", + " <th>tGravityAcc-correlation()-X,Z</th>\n", + " <th>tGravityAcc-correlation()-Y,Z</th>\n", + " <th>tBodyAccJerk-mean()-X</th>\n", + " <th>tBodyAccJerk-mean()-Y</th>\n", + " <th>tBodyAccJerk-mean()-Z</th>\n", + " <th>...</th>\n", + " <th>fBodyAccJerk-maxInds-X</th>\n", + " <th>fBodyAccJerk-maxInds-Y</th>\n", + " <th>fBodyAccJerk-maxInds-Z</th>\n", + " <th>fBodyGyro-meanFreq()-X</th>\n", + " <th>fBodyGyro-meanFreq()-Y</th>\n", + " <th>fBodyGyro-meanFreq()-Z</th>\n", + " <th>angle(tBodyAccMean,gravity)</th>\n", + " <th>angle(tBodyAccJerkMean),gravityMean)</th>\n", + " <th>angle(tBodyGyroMean,gravityMean)</th>\n", + " <th>angle(tBodyGyroJerkMean,gravityMean)</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>5293</th>\n", + " <td>-0.023285</td>\n", + " <td>0.076989</td>\n", + " <td>-0.490546</td>\n", + " <td>-0.709003</td>\n", + " <td>0.980580</td>\n", + " <td>-0.996352</td>\n", + " <td>-0.960117</td>\n", + " <td>0.072046</td>\n", + " <td>0.045754</td>\n", + " <td>-0.106043</td>\n", + " <td>...</td>\n", + " <td>-0.52</td>\n", + " <td>0.08</td>\n", + " <td>0.32</td>\n", + " <td>0.184035</td>\n", + " <td>-0.059323</td>\n", + " <td>0.438107</td>\n", + " <td>0.006462</td>\n", + " <td>0.162920</td>\n", + " <td>-0.825886</td>\n", + " <td>0.271151</td>\n", + " </tr>\n", + " <tr>\n", + " <th>5294</th>\n", + " <td>-0.013163</td>\n", + " <td>-0.104983</td>\n", + " <td>-0.429134</td>\n", + " <td>0.399177</td>\n", + " <td>0.945233</td>\n", + " <td>-0.911415</td>\n", + " <td>-0.738535</td>\n", + " <td>0.070181</td>\n", + " <td>-0.017876</td>\n", + " <td>-0.001721</td>\n", + " <td>...</td>\n", + " <td>-0.16</td>\n", + " <td>-0.32</td>\n", + " <td>-0.40</td>\n", + " <td>0.018109</td>\n", + " <td>-0.227266</td>\n", + " <td>-0.151698</td>\n", + " <td>-0.083495</td>\n", + " <td>0.017500</td>\n", + " <td>-0.434375</td>\n", + " <td>0.920593</td>\n", + " </tr>\n", + " <tr>\n", + " <th>5295</th>\n", + " <td>-0.026050</td>\n", + " <td>0.305653</td>\n", + " <td>-0.323848</td>\n", + " <td>0.279786</td>\n", + " <td>0.548432</td>\n", + " <td>-0.334864</td>\n", + " <td>0.590302</td>\n", + " <td>0.069368</td>\n", + " <td>-0.004908</td>\n", + " <td>-0.013673</td>\n", + " <td>...</td>\n", + " <td>-0.64</td>\n", + " <td>-0.40</td>\n", + " <td>-0.44</td>\n", + " <td>-0.479145</td>\n", + " <td>-0.210084</td>\n", + " <td>0.049310</td>\n", + " <td>-0.034956</td>\n", + " <td>0.202302</td>\n", + " <td>0.064103</td>\n", + " <td>0.145068</td>\n", + " </tr>\n", + " <tr>\n", + " <th>5296</th>\n", + " <td>-0.032614</td>\n", + " <td>-0.063792</td>\n", + " <td>-0.167111</td>\n", + " <td>0.544916</td>\n", + " <td>0.985534</td>\n", + " <td>0.653169</td>\n", + " <td>0.746518</td>\n", + " <td>0.074853</td>\n", + " <td>0.032274</td>\n", + " <td>0.012141</td>\n", + " <td>...</td>\n", + " <td>-0.44</td>\n", + " <td>-0.56</td>\n", + " <td>-0.48</td>\n", + " <td>-0.496954</td>\n", + " <td>-0.499906</td>\n", + " <td>-0.258896</td>\n", + " <td>-0.017067</td>\n", + " <td>0.154438</td>\n", + " <td>0.340134</td>\n", + " <td>0.296407</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "<p>4 rows × 39 columns</p>\n", + "</div>" + ], + "text/plain": [ + " tBodyAcc-mean()-Y tBodyAcc-correlation()-X,Y \\\n", + "5293 -0.023285 0.076989 \n", + "5294 -0.013163 -0.104983 \n", + "5295 -0.026050 0.305653 \n", + "5296 -0.032614 -0.063792 \n", + "\n", + " tBodyAcc-correlation()-X,Z tBodyAcc-correlation()-Y,Z \\\n", + "5293 -0.490546 -0.709003 \n", + "5294 -0.429134 0.399177 \n", + "5295 -0.323848 0.279786 \n", + "5296 -0.167111 0.544916 \n", + "\n", + " tGravityAcc-correlation()-X,Y tGravityAcc-correlation()-X,Z \\\n", + "5293 0.980580 -0.996352 \n", + "5294 0.945233 -0.911415 \n", + "5295 0.548432 -0.334864 \n", + "5296 0.985534 0.653169 \n", + "\n", + " tGravityAcc-correlation()-Y,Z tBodyAccJerk-mean()-X \\\n", + "5293 -0.960117 0.072046 \n", + "5294 -0.738535 0.070181 \n", + "5295 0.590302 0.069368 \n", + "5296 0.746518 0.074853 \n", + "\n", + " tBodyAccJerk-mean()-Y tBodyAccJerk-mean()-Z ... \\\n", + "5293 0.045754 -0.106043 ... \n", + "5294 -0.017876 -0.001721 ... \n", + "5295 -0.004908 -0.013673 ... \n", + "5296 0.032274 0.012141 ... \n", + "\n", + " fBodyAccJerk-maxInds-X fBodyAccJerk-maxInds-Y fBodyAccJerk-maxInds-Z \\\n", + "5293 -0.52 0.08 0.32 \n", + "5294 -0.16 -0.32 -0.40 \n", + "5295 -0.64 -0.40 -0.44 \n", + "5296 -0.44 -0.56 -0.48 \n", + "\n", + " fBodyGyro-meanFreq()-X fBodyGyro-meanFreq()-Y fBodyGyro-meanFreq()-Z \\\n", + "5293 0.184035 -0.059323 0.438107 \n", + "5294 0.018109 -0.227266 -0.151698 \n", + "5295 -0.479145 -0.210084 0.049310 \n", + "5296 -0.496954 -0.499906 -0.258896 \n", + "\n", + " angle(tBodyAccMean,gravity) angle(tBodyAccJerkMean),gravityMean) \\\n", + "5293 0.006462 0.162920 \n", + "5294 -0.083495 0.017500 \n", + "5295 -0.034956 0.202302 \n", + "5296 -0.017067 0.154438 \n", + "\n", + " angle(tBodyGyroMean,gravityMean) angle(tBodyGyroJerkMean,gravityMean) \n", + "5293 -0.825886 0.271151 \n", + "5294 -0.434375 0.920593 \n", + "5295 0.064103 0.145068 \n", + "5296 0.340134 0.296407 \n", + "\n", + "[4 rows x 39 columns]" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# recap: print first rows of predictors (here: training data without predicted column \"Survived\")\n", + "X_test.head(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5293 STANDING\n", + "5294 STANDING\n", + "5295 STANDING\n", + "5296 STANDING\n", + "Name: Activity, dtype: object" + ] + }, + "execution_count": 128, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# recap: print first rows of training data\n", + "data_test['Activity'].head(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['LAYING', 'STANDING', 'STANDING', 'STANDING'], dtype='<U8')" + ] + }, + "execution_count": 129, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "final_model.predict(X_test.head(4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "-->final_model works and can be deplyoed" + ] + } + ], + "metadata": { + "branche": "Landwirtschaft", + "category": "Forschung", + "dataSource": "https://storage.googleapis.com/ml-service-repository-datastorage/Generation_of_Individual_Playlists_Generation-of-Individual-Playlists-data.csv", + "funktion": "Operations", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.11.7" + }, + "repoLink": "https://archive.ics.uci.edu/ml/datasets/human+activity+recognition+using+smartphones", + "skipNotebookInDeployment": false, + "teaser": "Wenn Kühe sich mehr bewegen, dann ist die Milch und das Fleisch besser. Landwirte geraten immer weiter unter wirtschaftlichen Druck. Beispielsweise kam es durch die Coronapandemie zu teuren logistischen Problemen. Gleichzeitig stellen immer mehr Konsumenten höhere Anforderungen an eine artgerechte Tierhaltung. Diese Marktbedingungen erscheinen für Landwirte problematisch, da letzterer Aspekt natürlich mit gewissen Kosten verbunden ist und ein generelles Umdenken notwendig macht. ", + "title": "Erkennung der Aktivitäten von Kühen auf dem Feld" + }, + "nbformat": 4, + "nbformat_minor": 4 +} -- GitLab