325 lines
133 KiB
Plaintext
325 lines
133 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"tags": []
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},
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"source": [
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"# Feature Engineering\n",
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"# Klassifikation\n",
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"## Instanzbasierte Modelle\n",
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"## Regelbasierte Modelle\n",
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"## Mathematische Modelle\n",
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"## Neuronale Netze\n",
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"## Multiklass Klassifikatoren"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import sys\n",
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"sys.path.append('./')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2020-03-17T12:01:39.858981Z",
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"start_time": "2020-03-17T12:01:37.904657Z"
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}
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},
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"outputs": [],
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"source": [
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"## preparation\n",
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"import pandas as pd\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns; sns.set()\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Theorie"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2020-03-17T12:01:39.858981Z",
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"start_time": "2020-03-17T12:01:37.904657Z"
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}
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},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 600x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"iris_data = sns.load_dataset('iris')\n",
|
|
"\n",
|
|
"x_new = 4.8\n",
|
|
"y_new = 2.2\n",
|
|
"fig, ax = plt.subplots(figsize=(6,6))\n",
|
|
"sns.scatterplot(x='sepal_length', \n",
|
|
" y='sepal_width', \n",
|
|
" data=iris_data,\n",
|
|
" hue='species', \n",
|
|
" palette=['darkorange', 'green','darkviolet'])\n",
|
|
"ax.add_artist(plt.Circle((x_new, y_new), radius = 0.03, color='black', fill=True))\n",
|
|
"ax.add_artist(plt.Circle((x_new, y_new), radius = 0.35, color='black', fill=False))\n",
|
|
"plt.xlim(4, 8)\n",
|
|
"plt.ylim(1.5, 5.5);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 600x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"## decision tree\n",
|
|
"X_iris = iris_data.drop('species', axis=1)\n",
|
|
"y_iris = iris_data.species\n",
|
|
"\n",
|
|
"from sklearn.tree import DecisionTreeClassifier\n",
|
|
"model = DecisionTreeClassifier(\n",
|
|
" min_impurity_decrease=0.05, \n",
|
|
" random_state=1234)\n",
|
|
"model.fit(X_iris[['sepal_length', 'sepal_width']], y_iris)\n",
|
|
"\n",
|
|
"from sklearn.tree import plot_tree\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"plt.figure(figsize=(6, 6))\n",
|
|
"plot_tree(model,\n",
|
|
" feature_names=X_iris.columns,\n",
|
|
" class_names=model.classes_,\n",
|
|
" filled=True); # Adds color accoding to class"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### One-vs-Rest"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" 0 1 2\n",
|
|
"versicolor 0.013721 0.632638 0.353641\n",
|
|
"versicolor 0.008735 0.613221 0.378044\n",
|
|
"virginica 0.000446 0.339460 0.660093\n",
|
|
"setosa 0.873263 0.126729 0.000008\n",
|
|
"versicolor 0.082264 0.790321 0.127416\n",
|
|
"setosa 0.809556 0.190433 0.000011\n",
|
|
"setosa 0.872754 0.127239 0.000007\n",
|
|
"setosa 0.842567 0.157429 0.000004\n",
|
|
"versicolor 0.051173 0.812098 0.136729\n",
|
|
"virginica 0.000016 0.376987 0.622998\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"## load data\n",
|
|
"data = sns.load_dataset('iris')\n",
|
|
"\n",
|
|
"## features - target - split\n",
|
|
"X = data.drop('species', axis=1)\n",
|
|
"y = data.species\n",
|
|
"\n",
|
|
"## train - test - split\n",
|
|
"from sklearn.model_selection import train_test_split\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(\n",
|
|
" X,\n",
|
|
" y,\n",
|
|
" train_size=2 / 3,\n",
|
|
" random_state=1234)\n",
|
|
"\n",
|
|
"## define and train model\n",
|
|
"from sklearn.multiclass import OneVsRestClassifier\n",
|
|
"from sklearn.linear_model import LogisticRegression\n",
|
|
"model = OneVsRestClassifier(LogisticRegression(random_state=1234)).fit(X_train, y_train)\n",
|
|
"\n",
|
|
"## predictions\n",
|
|
"pred = model.predict(X_test)\n",
|
|
"pred_proba = model.predict_proba(X_test)\n",
|
|
"\n",
|
|
"## results\n",
|
|
"print(pd.DataFrame(\n",
|
|
" pred_proba,\n",
|
|
" pred\n",
|
|
").head(10))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### One-vs-One"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"['versicolor' 'versicolor' 'virginica' 'setosa' 'versicolor' 'setosa'\n",
|
|
" 'setosa' 'setosa' 'versicolor' 'virginica' 'versicolor' 'setosa'\n",
|
|
" 'virginica' 'versicolor' 'setosa' 'versicolor' 'virginica' 'setosa'\n",
|
|
" 'virginica' 'versicolor' 'versicolor' 'versicolor' 'versicolor'\n",
|
|
" 'versicolor' 'virginica' 'setosa' 'virginica' 'versicolor' 'virginica'\n",
|
|
" 'setosa' 'versicolor' 'virginica' 'setosa' 'virginica' 'virginica'\n",
|
|
" 'setosa' 'setosa' 'setosa' 'setosa' 'versicolor' 'setosa' 'versicolor'\n",
|
|
" 'setosa' 'virginica' 'virginica' 'setosa' 'virginica' 'virginica'\n",
|
|
" 'virginica' 'virginica']\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"## load data\n",
|
|
"data = sns.load_dataset('iris')\n",
|
|
"\n",
|
|
"## features - target - split\n",
|
|
"X = data.drop('species', axis=1)\n",
|
|
"y = data.species\n",
|
|
"\n",
|
|
"## train - test - split\n",
|
|
"from sklearn.model_selection import train_test_split\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(\n",
|
|
" X,\n",
|
|
" y,\n",
|
|
" train_size=2 / 3,\n",
|
|
" random_state=1234)\n",
|
|
"\n",
|
|
"## define and train model\n",
|
|
"from sklearn.multiclass import OneVsOneClassifier\n",
|
|
"from sklearn.linear_model import LogisticRegression\n",
|
|
"model = OneVsOneClassifier(LogisticRegression(random_state=1234)).fit(X_train, y_train)\n",
|
|
"\n",
|
|
"## predictions\n",
|
|
"pred = model.predict(X_test)\n",
|
|
"print(pred)"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "teaching",
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"language": "python",
|
|
"name": "teaching"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
|
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"version": "3.13.0"
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},
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"toc": {
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"base_numbering": "2.4",
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"nav_menu": {},
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"number_sections": true,
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"sideBar": true,
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"skip_h1_title": false,
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"title_cell": "2.4 Klassifikation - Neuronale Netze",
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"title_sidebar": "Contents",
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"toc_cell": true,
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"toc_position": {
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"height": "calc(100% - 180px)",
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"left": "10px",
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"top": "150px",
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"width": "165px"
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"toc_section_display": true,
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"toc_window_display": true
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},
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"kernels_config": {
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"python": {
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"delete_cmd_postfix": "",
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"delete_cmd_prefix": "del ",
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"library": "var_list.py",
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"varRefreshCmd": "print(var_dic_list())"
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"r": {
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"delete_cmd_postfix": ") ",
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"delete_cmd_prefix": "rm(",
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"library": "var_list.r",
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"varRefreshCmd": "cat(var_dic_list()) "
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"nbformat_minor": 4
|
|
}
|