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3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#fdf6f0"] ; ->>>>>>> origin/master +5 [label="concavity error <= 0.017\ngini = 0.444\nsamples = 3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#fdf6f0"] ; 3 -> 5 ; 6 [label="gini = 0.0\nsamples = 1\nvalue = [[0, 1]\n[1, 0]]", fillcolor="#e58139"] ; 5 -> 6 ; 7 [label="gini = 0.0\nsamples = 2\nvalue = [[2, 0]\n[0, 2]]", fillcolor="#e58139"] ; 5 -> 7 ; -8 [label="mean texture <= 20.84\ngini = 0.397\nsamples = 11\nvalue = [[8, 3]\n[3, 8]]", fillcolor="#fae9dd"] ; +8 [label="worst texture <= 29.455\ngini = 0.397\nsamples = 11\nvalue = [[8, 3]\n[3, 8]]", fillcolor="#fae9dd"] ; 2 -> 8 ; 9 [label="gini = 0.0\nsamples = 8\nvalue = [[8, 0]\n[0, 8]]", fillcolor="#e58139"] ; 8 -> 9 ; 10 [label="gini = 0.0\nsamples = 3\nvalue = [[0, 3]\n[3, 0]]", fillcolor="#e58139"] ; 8 -> 10 ; -<<<<<<< HEAD -11 [label="mean texture <= 16.22\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; -======= 11 [label="area error <= 13.475\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; ->>>>>>> origin/master 1 -> 11 ; 12 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 11 -> 12 ; @@ -42,11 +34,7 @@ edge [fontname=helvetica] ; 14 -> 15 ; 16 [label="gini = 0.0\nsamples = 11\nvalue = [[11, 0]\n[0, 11]]", fillcolor="#e58139"] ; 15 -> 16 ; -<<<<<<< HEAD -17 [label="mean area <= 694.45\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; -======= -17 [label="worst area <= 894.55\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; ->>>>>>> origin/master +17 [label="mean smoothness <= 0.086\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; 15 -> 17 ; 18 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 17 -> 18 ; diff --git a/doc/pub/week44/ipynb/Datafiles/ride.dot b/doc/pub/week44/ipynb/Datafiles/ride.dot index eb0417a16..b9d720cda 100644 --- a/doc/pub/week44/ipynb/Datafiles/ride.dot +++ b/doc/pub/week44/ipynb/Datafiles/ride.dot @@ -1,11 +1,7 @@ digraph Tree { node [shape=box, style="filled, rounded", color="black", fontname=helvetica] ; edge [fontname=helvetica] ; -<<<<<<< HEAD -0 [label="X[0] <= 0.5\ngini = 0.48\nsamples = 15\nvalue = [4, 10, 1]", fillcolor="#93f1ba"] ; -======= 0 [label="X[9] <= 0.5\ngini = 0.48\nsamples = 15\nvalue = [4, 10, 1]", fillcolor="#93f1ba"] ; ->>>>>>> origin/master 1 [label="X[1] <= 0.5\ngini = 0.408\nsamples = 14\nvalue = [4, 10, 0]", fillcolor="#88efb3"] ; 0 -> 1 [labeldistance=2.5, labelangle=45, headlabel="True"] ; 2 [label="gini = 0.48\nsamples = 10\nvalue = [4, 6, 0]", fillcolor="#bdf6d5"] ; diff --git a/doc/pub/week44/ipynb/week44.ipynb b/doc/pub/week44/ipynb/week44.ipynb index 764cd2b6e..47d2c91de 100644 --- a/doc/pub/week44/ipynb/week44.ipynb +++ b/doc/pub/week44/ipynb/week44.ipynb @@ -135,11 +135,44 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2nd degree coefficients:\n", + "zero power: -0.6248402642829345\n", + "first power: -0.06887270741953991\n", + "second power: 0.0003500424670389194\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "%matplotlib inline\n", "\n", @@ -554,11 +587,119 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " mean radius mean texture mean perimeter mean area mean smoothness \\\n", + "0 17.99 10.38 122.80 1001.0 0.11840 \n", + "1 20.57 17.77 132.90 1326.0 0.08474 \n", + "2 19.69 21.25 130.00 1203.0 0.10960 \n", + "3 11.42 20.38 77.58 386.1 0.14250 \n", + "4 20.29 14.34 135.10 1297.0 0.10030 \n", + ".. ... ... ... ... ... \n", + "564 21.56 22.39 142.00 1479.0 0.11100 \n", + "565 20.13 28.25 131.20 1261.0 0.09780 \n", + "566 16.60 28.08 108.30 858.1 0.08455 \n", + "567 20.60 29.33 140.10 1265.0 0.11780 \n", + "568 7.76 24.54 47.92 181.0 0.05263 \n", + "\n", + " mean compactness mean concavity mean concave points mean symmetry \\\n", + "0 0.27760 0.30010 0.14710 0.2419 \n", + "1 0.07864 0.08690 0.07017 0.1812 \n", + "2 0.15990 0.19740 0.12790 0.2069 \n", + "3 0.28390 0.24140 0.10520 0.2597 \n", + "4 0.13280 0.19800 0.10430 0.1809 \n", + ".. ... ... ... ... \n", + "564 0.11590 0.24390 0.13890 0.1726 \n", + "565 0.10340 0.14400 0.09791 0.1752 \n", + "566 0.10230 0.09251 0.05302 0.1590 \n", + "567 0.27700 0.35140 0.15200 0.2397 \n", + "568 0.04362 0.00000 0.00000 0.1587 \n", + "\n", + " mean fractal dimension ... worst radius worst texture \\\n", + "0 0.07871 ... 25.380 17.33 \n", + "1 0.05667 ... 24.990 23.41 \n", + "2 0.05999 ... 23.570 25.53 \n", + "3 0.09744 ... 14.910 26.50 \n", + "4 0.05883 ... 22.540 16.67 \n", + ".. ... ... ... ... \n", + "564 0.05623 ... 25.450 26.40 \n", + "565 0.05533 ... 23.690 38.25 \n", + "566 0.05648 ... 18.980 34.12 \n", + "567 0.07016 ... 25.740 39.42 \n", + "568 0.05884 ... 9.456 30.37 \n", + "\n", + " worst perimeter worst area worst smoothness worst compactness \\\n", + "0 184.60 2019.0 0.16220 0.66560 \n", + "1 158.80 1956.0 0.12380 0.18660 \n", + "2 152.50 1709.0 0.14440 0.42450 \n", + "3 98.87 567.7 0.20980 0.86630 \n", + "4 152.20 1575.0 0.13740 0.20500 \n", + ".. ... ... ... ... \n", + "564 166.10 2027.0 0.14100 0.21130 \n", + "565 155.00 1731.0 0.11660 0.19220 \n", + "566 126.70 1124.0 0.11390 0.30940 \n", + "567 184.60 1821.0 0.16500 0.86810 \n", + "568 59.16 268.6 0.08996 0.06444 \n", + "\n", + " worst concavity worst concave points worst symmetry \\\n", + "0 0.7119 0.2654 0.4601 \n", + "1 0.2416 0.1860 0.2750 \n", + "2 0.4504 0.2430 0.3613 \n", + "3 0.6869 0.2575 0.6638 \n", + "4 0.4000 0.1625 0.2364 \n", + ".. ... ... ... \n", + "564 0.4107 0.2216 0.2060 \n", + "565 0.3215 0.1628 0.2572 \n", + "566 0.3403 0.1418 0.2218 \n", + "567 0.9387 0.2650 0.4087 \n", + "568 0.0000 0.0000 0.2871 \n", + "\n", + " worst fractal dimension \n", + "0 0.11890 \n", + "1 0.08902 \n", + "2 0.08758 \n", + "3 0.17300 \n", + "4 0.07678 \n", + ".. ... \n", + "564 0.07115 \n", + "565 0.06637 \n", + "566 0.07820 \n", + "567 0.12400 \n", + "568 0.07039 \n", + "\n", + "[569 rows x 30 columns]\n", + " malignant benign\n", + "0 1 0\n", + "1 1 0\n", + "2 1 0\n", + "3 1 0\n", + "4 1 0\n", + ".. ... ...\n", + "564 1 0\n", + "565 1 0\n", + "566 1 0\n", + "567 1 0\n", + "568 0 1\n", + "\n", + "[569 rows x 2 columns]\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import os\n", "from sklearn.datasets import load_breast_cancer\n", @@ -604,11 +745,20 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -647,11 +797,48 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Text(167.4, 199.32, 'X[2] <= 2.45\\ngini = 0.667\\nsamples = 150\\nvalue = [50, 50, 50]'),\n", + " Text(141.64615384615385, 163.07999999999998, 'gini = 0.0\\nsamples = 50\\nvalue = [50, 0, 0]'),\n", + " Text(193.15384615384616, 163.07999999999998, 'X[3] <= 1.75\\ngini = 0.5\\nsamples = 100\\nvalue = [0, 50, 50]'),\n", + " Text(103.01538461538462, 126.83999999999999, 'X[2] <= 4.95\\ngini = 0.168\\nsamples = 54\\nvalue = [0, 49, 5]'),\n", + " Text(51.50769230769231, 90.6, 'X[3] <= 1.65\\ngini = 0.041\\nsamples = 48\\nvalue = [0, 47, 1]'),\n", + " Text(25.753846153846155, 54.359999999999985, 'gini = 0.0\\nsamples = 47\\nvalue = [0, 47, 0]'),\n", + " Text(77.26153846153846, 54.359999999999985, 'gini = 0.0\\nsamples = 1\\nvalue = [0, 0, 1]'),\n", + " 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0.0\\nsamples = 43\\nvalue = [0, 0, 43]')]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from sklearn.datasets import load_iris\n", "from sklearn import tree\n", @@ -674,11 +861,24 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "|--- petal width (cm) <= 0.80\n", + "| |--- class: 0\n", + "|--- petal width (cm) > 0.80\n", + "| |--- petal width (cm) <= 1.75\n", + "| | |--- class: 1\n", + "| |--- petal width (cm) > 1.75\n", + "| | |--- class: 2\n", + "\n" + ] + } + ], "source": [ "from sklearn.datasets import load_iris\n", "from sklearn.tree import DecisionTreeClassifier\n", @@ -836,11 +1036,78 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " (0, 0)\t1.0\n", + " (0, 7)\t1.0\n", + " (0, 9)\t1.0\n", + " (0, 13)\t1.0\n", + " (1, 3)\t1.0\n", + " (1, 5)\t1.0\n", + " (1, 8)\t1.0\n", + " (1, 12)\t1.0\n", + " (2, 3)\t1.0\n", + " (2, 5)\t1.0\n", + " (2, 8)\t1.0\n", + " (2, 11)\t1.0\n", + " (3, 1)\t1.0\n", + " (3, 5)\t1.0\n", + " (3, 8)\t1.0\n", + " (3, 12)\t1.0\n", + " (4, 2)\t1.0\n", + " (4, 6)\t1.0\n", + " (4, 8)\t1.0\n", + " (4, 12)\t1.0\n", + " (5, 2)\t1.0\n", + " (5, 4)\t1.0\n", + " (5, 10)\t1.0\n", + " (5, 12)\t1.0\n", + " (6, 2)\t1.0\n", + " :\t:\n", + " (8, 12)\t1.0\n", + " (9, 3)\t1.0\n", + " (9, 4)\t1.0\n", + " (9, 10)\t1.0\n", + " (9, 12)\t1.0\n", + " (10, 2)\t1.0\n", + " (10, 6)\t1.0\n", + " (10, 10)\t1.0\n", + " (10, 12)\t1.0\n", + " (11, 3)\t1.0\n", + " (11, 6)\t1.0\n", + " (11, 10)\t1.0\n", + " (11, 11)\t1.0\n", + " (12, 1)\t1.0\n", + " (12, 6)\t1.0\n", + " (12, 8)\t1.0\n", + " (12, 11)\t1.0\n", + " (13, 1)\t1.0\n", + " (13, 5)\t1.0\n", + " (13, 10)\t1.0\n", + " (13, 12)\t1.0\n", + " (14, 2)\t1.0\n", + " (14, 6)\t1.0\n", + " (14, 8)\t1.0\n", + " (14, 11)\t1.0\n", + "Train set accuracy with Decision Tree: 0.73\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -927,11 +1194,73 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "X1 < 0.000 Gini=0.408\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 1.000 Gini=0.407\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "Split: [X3 < 1.000]\n" + ] + } + ], "source": [ "# Split a dataset based on an attribute and an attribute value\n", "def test_split(index, value, dataset):\n", @@ -1036,11 +1365,38 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "Test set accuracy with Logistic Regression: 0.95\n", + "Test set accuracy with SVM: 0.63\n", + "Test set accuracy with Decision Trees: 0.90\n", + "Test set accuracy Logistic Regression with scaled data: 0.96\n", + "Test set accuracy SVM with scaled data: 0.96\n", + "Test set accuracy with Decision Trees and scaled data: 0.89\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/MortenImac/anaconda3/lib/python3.6/site-packages/sklearn/linear_model/_logistic.py:762: ConvergenceWarning: lbfgs failed to converge (status=1):\n", + "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", + "\n", + "Increase the number of iterations (max_iter) or scale the data as shown in:\n", + " https://scikit-learn.org/stable/modules/preprocessing.html\n", + "Please also refer to the documentation for alternative solver options:\n", + " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", + " extra_warning_msg=_LOGISTIC_SOLVER_CONVERGENCE_MSG)\n" + ] + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -1094,11 +1450,22 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from __future__ import division, print_function, unicode_literals\n", "\n", @@ -1175,11 +1542,22 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(6)\n", "Xs = np.random.rand(100, 2) - 0.5\n", @@ -1212,10 +1590,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, "outputs": [], "source": [ "# Quadratic training set + noise\n", @@ -1228,11 +1604,20 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DecisionTreeRegressor(max_depth=2, random_state=42)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", @@ -1249,11 +1634,22 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", @@ -1297,11 +1693,22 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "tree_reg1 = DecisionTreeRegressor(random_state=42)\n", "tree_reg2 = DecisionTreeRegressor(random_state=42, min_samples_leaf=10)\n", @@ -1455,11 +1862,22 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "heads_proba = 0.51\n", "coin_tosses = (np.random.rand(10000, 10) < heads_proba).astype(np.int32)\n", @@ -1485,11 +1903,24 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.896\n", + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.912\n" + ] + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -1545,11 +1976,22 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VotingClassifier(estimators=[('lr', LogisticRegression(random_state=42)),\n", + " ('rf', RandomForestClassifier(random_state=42)),\n", + " ('svc', SVC(random_state=42))])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -1573,11 +2015,20 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.896\n", + "SVC 0.896\n", + "VotingClassifier 0.912\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", @@ -1589,11 +2040,23 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VotingClassifier(estimators=[('lr', LogisticRegression(random_state=42)),\n", + " ('rf', RandomForestClassifier(random_state=42)),\n", + " ('svc', SVC(probability=True, random_state=42))],\n", + " voting='soft')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "log_clf = LogisticRegression(random_state=42)\n", "rnd_clf = RandomForestClassifier(random_state=42)\n", @@ -1607,11 +2070,20 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.896\n", + "SVC 0.896\n", + "VotingClassifier 0.92\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", @@ -1630,10 +2102,8 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, + "execution_count": 23, + "metadata": {}, "outputs": [], "source": [ "from sklearn.ensemble import BaggingClassifier\n", @@ -1648,11 +2118,17 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.904\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "print(accuracy_score(y_test, y_pred))" @@ -1660,11 +2136,17 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.856\n" + ] + } + ], "source": [ "tree_clf = DecisionTreeClassifier(random_state=42)\n", "tree_clf.fit(X_train, y_train)\n", @@ -1674,11 +2156,22 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from matplotlib.colors import ListedColormap\n", "\n", @@ -1721,11 +2214,64 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Polynomial degree: 1\n", + "Error: 0.06380941468319971\n", + "Bias^2: 0.05160313473529168\n", + "Var: 0.01220627994790804\n", + "0.06380941468319971 >= 0.05160313473529168 + 0.01220627994790804 = 0.06380941468319971\n", + "Polynomial degree: 2\n", + "Error: 0.043464037468677004\n", + "Bias^2: 0.02659851591375224\n", + "Var: 0.01686552155492476\n", + "0.043464037468677004 >= 0.02659851591375224 + 0.01686552155492476 = 0.043464037468677\n", + "Polynomial degree: 3\n", + "Error: 0.020716391693769383\n", + "Bias^2: 0.01159033914386312\n", + "Var: 0.00912605254990626\n", + "0.020716391693769383 >= 0.01159033914386312 + 0.00912605254990626 = 0.02071639169376938\n", + "Polynomial degree: 4\n", + "Error: 0.02063627410934057\n", + "Bias^2: 0.0117496656370668\n", + "Var: 0.008886608472273775\n", + "0.02063627410934057 >= 0.0117496656370668 + 0.008886608472273775 = 0.020636274109340574\n", + "Polynomial degree: 5\n", + "Error: 0.02087627881701288\n", + "Bias^2: 0.01349183949256158\n", + "Var: 0.007384439324451296\n", + "0.02087627881701288 >= 0.01349183949256158 + 0.007384439324451296 = 0.020876278817012876\n", + "Polynomial degree: 6\n", + "Error: 0.02069601123831537\n", + "Bias^2: 0.013918526350129823\n", + "Var: 0.0067774848881855445\n", + "0.02069601123831537 >= 0.013918526350129823 + 0.0067774848881855445 = 0.020696011238315368\n", + "Polynomial degree: 7\n", + "Error: 0.022964339924731444\n", + "Bias^2: 0.01550381208433455\n", + "Var: 0.007460527840396904\n", + "0.022964339924731444 >= 0.01550381208433455 + 0.007460527840396904 = 0.022964339924731455\n", + "0.5148389267750961\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "\n", "import matplotlib.pyplot as plt\n", @@ -1776,7 +2322,7 @@ " print('Var:', variance[degree])\n", " print('{} >= {} + {} = {}'.format(error[degree], bias[degree], variance[degree], bias[degree]+variance[degree]))\n", " \n", - "mse_simpletree= np.mean( np.mean((y_test - simpleprediction)**2)\n", + "mse_simpletree= np.mean( np.mean((y_test - simpleprediction)**2))\n", "print(mse_simpletree)\n", "plt.xlim(1,maxdepth)\n", "plt.plot(polydegree, error, label='MSE')\n", @@ -1786,9 +2332,41 @@ "save_fig(\"baggingboot\")\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], - "metadata": {}, + "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": "3.6.8" + } + }, "nbformat": 4, "nbformat_minor": 4 } diff --git a/doc/pub/week45/ipynb/week45.ipynb b/doc/pub/week45/ipynb/week45.ipynb index 1fd081088..b24aa87e5 100644 --- a/doc/pub/week45/ipynb/week45.ipynb +++ b/doc/pub/week45/ipynb/week45.ipynb @@ -77,9 +77,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", @@ -133,10 +131,21 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "\n", "# Common imports\n", @@ -175,10 +184,23 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.896\n", + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.912\n" + ] + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -234,10 +256,21 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VotingClassifier(estimators=[('lr', LogisticRegression(random_state=42)),\n", + " ('rf', RandomForestClassifier(random_state=42)),\n", + " ('svc', SVC(random_state=42))])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -262,10 +295,19 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.896\n", + "SVC 0.896\n", + "VotingClassifier 0.912\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", @@ -278,10 +320,22 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VotingClassifier(estimators=[('lr', LogisticRegression(random_state=42)),\n", + " ('rf', RandomForestClassifier(random_state=42)),\n", + " ('svc', SVC(probability=True, random_state=42))],\n", + " voting='soft')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "log_clf = LogisticRegression(random_state=42)\n", "rnd_clf = RandomForestClassifier(random_state=42)\n", @@ -296,10 +350,19 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.896\n", + "SVC 0.896\n", + "VotingClassifier 0.92\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", @@ -386,10 +449,82 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "Test set accuracy with Logistic Regression: 0.95\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/MortenImac/anaconda3/lib/python3.6/site-packages/sklearn/linear_model/_logistic.py:762: ConvergenceWarning: lbfgs failed to converge (status=1):\n", + "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", + "\n", + "Increase the number of iterations (max_iter) or scale the data as shown in:\n", + " https://scikit-learn.org/stable/modules/preprocessing.html\n", + "Please also refer to the documentation for alternative solver options:\n", + " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", + " extra_warning_msg=_LOGISTIC_SOLVER_CONVERGENCE_MSG)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Test set accuracy with SVM: 0.63\n", + "Test set accuracy with Decision Trees: 0.88\n", + "Test set accuracy Logistic Regression with scaled data: 0.96\n", + "Test set accuracy SVM with scaled data: 0.96\n", + "Test set accuracy with Decision Trees and scaled data: 0.90\n", + "[1. 0.8 0.93333333 1. 1. 0.92857143\n", + " 1. 0.92857143 0.92857143 0.92857143]\n", + "Test set accuracy with Random Forests and scaled data: 0.98\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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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", @@ -469,9 +604,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "bag_clf = BaggingClassifier(\n", @@ -482,10 +615,19 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9790209790209791" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bag_clf.fit(X_train, y_train)\n", "y_pred = bag_clf.predict(X_test)\n", @@ -1026,9 +1168,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.ensemble import AdaBoostClassifier\n", @@ -1239,9 +1379,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -1302,9 +1440,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -1375,9 +1511,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -1440,9 +1574,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "\n", @@ -1500,7 +1632,25 @@ ] } ], - "metadata": {}, + "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": "3.6.8" + } + }, "nbformat": 4, "nbformat_minor": 4 }