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mean squared terror
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mean Squared Terror \n",
"\n",
"You can draw your own dataset over at [drawdata.xyz](https://drawdata.xyz), copy the data to the clipboard and then play in the notebook here."
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"import pathlib \n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pylab as plt"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_clipboard(sep=\",\").assign(z=lambda d: d['z'] == 'a')"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"y = df['y'].values\n",
"X = df[['x', 'z']].values"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"from sklego.meta import GroupedEstimator\n",
"from sklego.preprocessing import ColumnSelector\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.pipeline import Pipeline\n",
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error, make_scorer"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [],
"source": [
"def make_plot(dataf, estimator):\n",
" dataf = dataf.copy()\n",
" grid = GridSearchCV(estimator=estimator, \n",
" param_grid={}, \n",
" scoring={'mse': make_scorer(mean_squared_error)}, \n",
" refit='mse',\n",
" cv=10,\n",
" return_train_score=True)\n",
" dataf['pred'] = grid.fit(dataf, y).predict(dataf)\n",
" \n",
" plt.figure(figsize=(12, 4))\n",
" plt.subplot(131)\n",
" plt.scatter(dataf['x'], dataf['y'], c=df['z'])\n",
" plt.title(\"original dataset\")\n",
" \n",
" plt.subplot(132)\n",
" plt.scatter(dataf['x'], dataf['pred'], c=df['z'])\n",
" plt.title(\"predictions of original data\")\n",
" \n",
" plt.subplot(133)\n",
" xs = np.linspace(0, 500, 100).reshape(-1, 1)\n",
" x_new = np.concatenate([\n",
" np.concatenate((xs, np.zeros(xs.shape)), axis=1), \n",
" np.concatenate((xs, np.ones(xs.shape)), axis=1)], axis=0)\n",
" df_new = pd.DataFrame(x_new, columns=['x', 'z'])\n",
" plt.scatter(x_new[:, 0], grid.predict(df_new), c=x_new[:, -1])\n",
" plt.title(\"predictions on entire spectrum\")\n",
" return {'train': grid.cv_results_['mean_train_mse'], 'test': grid.cv_results_['mean_test_mse']}"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'train': array([993.57512072]), 'test': array([1343.09279022])}"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mod = Pipeline([\n",
" ('select', ColumnSelector(columns=['x', 'z'])),\n",
" ('model', GroupedEstimator(LinearRegression(), groups=['z']))\n",
"])\n",
"\n",
"df.pipe(make_plot, estimator=mod)"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'train': array([1166.64421721]), 'test': array([1767.368897])}"
]
},
"execution_count": 91,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mod = Pipeline([\n",
" ('select', ColumnSelector(columns=['x', 'z'])),\n",
" ('model', LinearRegression())\n",
"])\n",
"\n",
"df.pipe(make_plot, estimator=mod)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'train': array([909.66149669]), 'test': array([2337.65717316])}"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mod = Pipeline([\n",
" ('select', ColumnSelector(columns=['x', 'z'])),\n",
" ('filter', StandardScaler()),\n",
" ('model', KNeighborsRegressor(10))\n",
"])\n",
"\n",
"df.pipe(make_plot, estimator=mod)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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