diff --git a/doc/.DS_Store b/doc/.DS_Store index 9455e510c..937ca7426 100644 Binary files a/doc/.DS_Store and b/doc/.DS_Store differ diff --git a/doc/HandWrittenNotes/NotesSeptember3.pdf b/doc/HandWrittenNotes/NotesSeptember3.pdf new file mode 100644 index 000000000..0db3ce062 Binary files /dev/null and b/doc/HandWrittenNotes/NotesSeptember3.pdf differ diff --git a/doc/pub/Regression/ipynb/Regression.ipynb b/doc/pub/Regression/ipynb/Regression.ipynb index b387e13fa..0912fa8b5 100644 --- a/doc/pub/Regression/ipynb/Regression.ipynb +++ b/doc/pub/Regression/ipynb/Regression.ipynb @@ -1833,7 +1833,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -1846,12 +1846,14 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -1935,6 +1937,103 @@ "plt.show()\n" ] }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.3155976363078281 0.23757342963159728\n", + "0.0787018918847104 0.06930516292030015\n", + "0.10722101293279243 0.04511656503567851\n", + "0.06201683426091631 0.028151617239178105\n", + "0.061553763561113806 0.028147674082776217\n", + "0.05180713869664486 0.02060255094046228\n", + "0.03998787703985385 0.015790440504624886\n", + "0.025488444196422547 0.011449129463020355\n", + "0.01102027119693583 0.006966589766559406\n", + "0.011604235570598458 0.006794797700077043\n", + "0.010565611128562757 0.005640710472162157\n", + "0.012017287100241886 0.005510647881654117\n", + "0.012434158910648174 0.005494366141070369\n", + "0.016448736882635217 0.004851325080751917\n", + "0.016527602132524744 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "from sklearn.linear_model import LinearRegression, Ridge, Lasso\n", + "from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.preprocessing import MinMaxScaler, StandardScaler, Normalizer\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.pipeline import make_pipeline\n", + "\n", + "\n", + "np.random.seed(2018)\n", + "n =40\n", + "maxdegree = 30\n", + "# Make data set.\n", + "x = np.linspace(-3, 3, n).reshape(-1, 1)\n", + "y = np.exp(-x**2) + 1.5 * np.exp(-(x-2)**2)+ np.random.normal(0, 0.1, x.shape)\n", + "TestError = np.zeros(maxdegree)\n", + "TrainError = np.zeros(maxdegree)\n", + "polydegree = np.zeros(maxdegree)\n", + "x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.2)\n", + "scaler = StandardScaler()\n", + "scaler.fit(x_train)\n", + "x_train_scaled = scaler.transform(x_train)\n", + "x_test_scaled = scaler.transform(x_test)\n", + "#df = x_train-x_train.mean()\n", + "\n", + "for degree in range(maxdegree):\n", + " model = make_pipeline(PolynomialFeatures(degree=degree), LinearRegression(fit_intercept=False))\n", + " clf = model.fit(x_train_scaled,y_train)\n", + " y_fit = clf.predict(x_train_scaled)\n", + " y_pred = clf.predict(x_test_scaled) \n", + " polydegree[degree] = degree\n", + " TestError[degree] = np.mean( np.mean((y_test - y_pred)**2) )\n", + " TrainError[degree] = np.mean( np.mean((y_train - y_fit)**2) )\n", + " print(TestError[degree],TrainError[degree])\n", + "\n", + "plt.plot(polydegree, TestError, label='Test Error')\n", + "plt.plot(polydegree, TrainError, label='Train Error')\n", + "plt.legend()\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -5492,7 +5591,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 24, "metadata": {}, "outputs": [ {