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rounded", color="black", fontname=helvetica] ; -edge [fontname=helvetica] ; -0 [label="worst perimeter <= 106.05\ngini = 0.465\nsamples = 426\nvalue = [[269, 157]\n[157, 269]]", fillcolor="#e5813908"] ; -1 [label="worst concave points <= 0.159\ngini = 0.067\nsamples = 259\nvalue = [[250, 9]\n[9, 250]]", fillcolor="#e58139db"] ; +node [shape=box, style="filled, rounded", color="black", fontname="helvetica"] ; +edge [fontname="helvetica"] ; +0 [label="worst perimeter <= 106.05\ngini = 0.465\nsamples = 426\nvalue = [[269, 157]\n[157, 269]]", fillcolor="#fefbf9"] ; +1 [label="worst concave points <= 0.159\ngini = 0.067\nsamples = 259\nvalue = [[250, 9]\n[9, 250]]", fillcolor="#e99355"] ; 0 -> 1 [labeldistance=2.5, labelangle=45, headlabel="True"] ; -2 [label="worst concave points <= 0.135\ngini = 0.031\nsamples = 253\nvalue = [[249, 4]\n[4, 249]]", fillcolor="#e58139ee"] ; +2 [label="worst concave points <= 0.135\ngini = 0.031\nsamples = 253\nvalue = [[249, 4]\n[4, 249]]", fillcolor="#e78946"] ; 1 -> 2 ; -3 [label="radius error <= 0.643\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e58139fb"] ; +3 [label="area error <= 48.975\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e5833c"] ; 2 -> 3 ; -4 [label="gini = 0.0\nsamples = 239\nvalue = [[239, 0]\n[0, 239]]", fillcolor="#e58139ff"] ; +4 [label="gini = 0.0\nsamples = 239\nvalue = [[239, 0]\n[0, 239]]", fillcolor="#e58139"] ; 3 -> 4 ; -5 [label="worst symmetry <= 0.208\ngini = 0.444\nsamples = 3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#e5813913"] ; +5 [label="mean compactness <= 0.063\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="#e58139ff"] ; +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="#e58139ff"] ; +7 [label="gini = 0.0\nsamples = 2\nvalue = [[2, 0]\n[0, 2]]", fillcolor="#e58139"] ; 5 -> 7 ; -8 [label="worst texture <= 29.455\ngini = 0.397\nsamples = 11\nvalue = [[8, 3]\n[3, 8]]", fillcolor="#e581392c"] ; +8 [label="mean texture <= 20.84\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="#e58139ff"] ; +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="#e58139ff"] ; +10 [label="gini = 0.0\nsamples = 3\nvalue = [[0, 3]\n[3, 0]]", fillcolor="#e58139"] ; 8 -> 10 ; -11 [label="mean texture <= 16.22\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#e581396b"] ; +11 [label="area error <= 13.475\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; 1 -> 11 ; -12 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139ff"] ; +12 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 11 -> 12 ; -13 [label="gini = 0.0\nsamples = 5\nvalue = [[0, 5]\n[5, 0]]", fillcolor="#e58139ff"] ; +13 [label="gini = 0.0\nsamples = 5\nvalue = [[0, 5]\n[5, 0]]", fillcolor="#e58139"] ; 11 -> 13 ; -14 [label="worst texture <= 20.645\ngini = 0.202\nsamples = 167\nvalue = [[19, 148]\n[148, 19]]", fillcolor="#e5813994"] ; +14 [label="worst texture <= 20.645\ngini = 0.202\nsamples = 167\nvalue = [[19, 148]\n[148, 19]]", fillcolor="#f0b68c"] ; 0 -> 14 [labeldistance=2.5, labelangle=-45, headlabel="False"] ; -15 [label="worst radius <= 17.74\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#e5813938"] ; +15 [label="worst perimeter <= 116.8\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#f9e3d4"] ; 14 -> 15 ; -16 [label="gini = 0.0\nsamples = 11\nvalue = [[11, 0]\n[0, 11]]", fillcolor="#e58139ff"] ; +16 [label="gini = 0.0\nsamples = 11\nvalue = [[11, 0]\n[0, 11]]", fillcolor="#e58139"] ; 15 -> 16 ; -17 [label="mean texture <= 13.745\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#e5813955"] ; +17 [label="smoothness error <= 0.005\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="#e58139ff"] ; +18 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 17 -> 18 ; -19 [label="gini = 0.0\nsamples = 4\nvalue = [[0, 4]\n[4, 0]]", fillcolor="#e58139ff"] ; +19 [label="gini = 0.0\nsamples = 4\nvalue = [[0, 4]\n[4, 0]]", fillcolor="#e58139"] ; 17 -> 19 ; -20 [label="mean concave points <= 0.049\ngini = 0.088\nsamples = 151\nvalue = [[7, 144]\n[144, 7]]", fillcolor="#e58139d0"] ; +20 [label="mean concave points <= 0.049\ngini = 0.088\nsamples = 151\nvalue = [[7, 144]\n[144, 7]]", fillcolor="#ea985d"] ; 14 -> 20 ; -21 [label="concave points error <= 0.01\ngini = 0.48\nsamples = 15\nvalue = [[6, 9]\n[9, 6]]", fillcolor="#e5813900"] ; +21 [label="compactness error <= 0.016\ngini = 0.48\nsamples = 15\nvalue = [[6, 9]\n[9, 6]]", fillcolor="#ffffff"] ; 20 -> 21 ; -22 [label="gini = 0.0\nsamples = 9\nvalue = [[0, 9]\n[9, 0]]", fillcolor="#e58139ff"] ; +22 [label="gini = 0.0\nsamples = 9\nvalue = [[0, 9]\n[9, 0]]", fillcolor="#e58139"] ; 21 -> 22 ; -23 [label="gini = 0.0\nsamples = 6\nvalue = [[6, 0]\n[0, 6]]", fillcolor="#e58139ff"] ; +23 [label="gini = 0.0\nsamples = 6\nvalue = [[6, 0]\n[0, 6]]", fillcolor="#e58139"] ; 21 -> 23 ; -24 [label="worst smoothness <= 0.096\ngini = 0.015\nsamples = 136\nvalue = [[1, 135]\n[135, 1]]", fillcolor="#e58139f7"] ; +24 [label="worst smoothness <= 0.096\ngini = 0.015\nsamples = 136\nvalue = [[1, 135]\n[135, 1]]", fillcolor="#e6853f"] ; 20 -> 24 ; -25 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139ff"] ; +25 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 24 -> 25 ; -26 [label="gini = 0.0\nsamples = 135\nvalue = [[0, 135]\n[135, 0]]", fillcolor="#e58139ff"] ; +26 [label="gini = 0.0\nsamples = 135\nvalue = [[0, 135]\n[135, 0]]", fillcolor="#e58139"] ; 24 -> 26 ; } \ No newline at end of file diff --git a/doc/pub/day11/ipynb/Datafiles/ride.dot b/doc/pub/day11/ipynb/Datafiles/ride.dot index 50aaa76..4e3b65b 100644 --- a/doc/pub/day11/ipynb/Datafiles/ride.dot +++ b/doc/pub/day11/ipynb/Datafiles/ride.dot @@ -1,13 +1,13 @@ digraph Tree { -node [shape=box, style="filled, rounded", color="black", fontname=helvetica] ; -edge [fontname=helvetica] ; -0 [label="X[7] <= 0.5\ngini = 0.48\nsamples = 15\nvalue = [4, 10, 1]", fillcolor="#39e5818b"] ; -1 [label="X[1] <= 0.5\ngini = 0.408\nsamples = 14\nvalue = [4, 10, 0]", fillcolor="#39e58199"] ; +node [shape=box, style="filled, rounded", color="black", fontname="helvetica"] ; +edge [fontname="helvetica"] ; +0 [label="X[9] <= 0.5\ngini = 0.48\nsamples = 15\nvalue = [4, 10, 1]", fillcolor="#93f1ba"] ; +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="#39e58155"] ; +2 [label="gini = 0.48\nsamples = 10\nvalue = [4, 6, 0]", fillcolor="#bdf6d5"] ; 1 -> 2 ; -3 [label="gini = 0.0\nsamples = 4\nvalue = [0, 4, 0]", fillcolor="#39e581ff"] ; +3 [label="gini = 0.0\nsamples = 4\nvalue = [0, 4, 0]", fillcolor="#39e581"] ; 1 -> 3 ; -4 [label="gini = 0.0\nsamples = 1\nvalue = [0, 0, 1]", fillcolor="#8139e5ff"] ; +4 [label="gini = 0.0\nsamples = 1\nvalue = [0, 0, 1]", fillcolor="#8139e5"] ; 0 -> 4 [labeldistance=2.5, labelangle=-45, headlabel="False"] ; } \ No newline at end of file diff --git a/doc/pub/day11/ipynb/day11.ipynb b/doc/pub/day11/ipynb/day11.ipynb index 7a8d6f1..1ecd97d 100644 --- a/doc/pub/day11/ipynb/day11.ipynb +++ b/doc/pub/day11/ipynb/day11.ipynb @@ -3,9 +3,7 @@ { "cell_type": "markdown", "id": "7ce93c43", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "\n", @@ -15,9 +13,7 @@ { "cell_type": "markdown", "id": "7d2dcd77", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "# Decision trees, Bagging and Random Forests\n", "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n", @@ -30,9 +26,7 @@ { "cell_type": "markdown", "id": "905c60b9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Plan\n", "\n", @@ -54,9 +48,7 @@ { "cell_type": "markdown", "id": "ce232b83", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Decision trees, overarching aims\n", "\n", @@ -85,9 +77,7 @@ { "cell_type": "markdown", "id": "fb6f2119", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Basics of a tree\n", "\n", @@ -105,9 +95,7 @@ { "cell_type": "markdown", "id": "6274e8a2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A Sketch of a Tree, Regression problem\n", "\n", @@ -117,9 +105,7 @@ { "cell_type": "markdown", "id": "3051dc03", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A Sketch of a Tree, Classification problem\n", "\n", @@ -129,9 +115,7 @@ { "cell_type": "markdown", "id": "6e65aa8f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A typical Decision Tree with its pertinent Jargon, Classification Problem\n", "\n", @@ -147,9 +131,7 @@ { "cell_type": "markdown", "id": "b1c42fa1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## General Features\n", "\n", @@ -170,9 +152,7 @@ { "cell_type": "markdown", "id": "c825af6f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## How do we set it up?\n", "\n", @@ -193,22 +173,52 @@ { "cell_type": "markdown", "id": "9799974e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Decision trees and Regression" ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 31, "id": "5011186e", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2nd degree coefficients:\n", + "zero power: 4.593348620287593\n", + "first power: 0.10565991249408385\n", + "second power: -4.970144038433643e-05\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "%matplotlib inline\n", "\n", @@ -277,7 +287,7 @@ "from sklearn.tree import DecisionTreeRegressor\n", "regr_1=DecisionTreeRegressor(max_depth=2)\n", "regr_2=DecisionTreeRegressor(max_depth=5)\n", - "regr_3=DecisionTreeRegressor(max_depth=7)\n", + "regr_3=DecisionTreeRegressor(max_depth=11)\n", "regr_1.fit(X, distance_list)\n", "regr_2.fit(X, distance_list)\n", "regr_3.fit(X, distance_list)\n", @@ -305,9 +315,7 @@ { "cell_type": "markdown", "id": "50bd5f1c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Building a tree, regression\n", "\n", @@ -327,9 +335,7 @@ { "cell_type": "markdown", "id": "f7d35917", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\sum_{j=1}^J\\sum_{i\\in R_j}(y_i-\\overline{y}_{R_j})^2,\n", @@ -339,9 +345,7 @@ { "cell_type": "markdown", "id": "18bd8a8c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $\\overline{y}_{R_j}$ is the mean response for the training observations \n", "within box $j$." @@ -350,9 +354,7 @@ { "cell_type": "markdown", "id": "7e1b37a9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A top-down approach, recursive binary splitting\n", "\n", @@ -372,9 +374,7 @@ { "cell_type": "markdown", "id": "19db39ad", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Making a tree\n", "\n", @@ -385,9 +385,7 @@ { "cell_type": "markdown", "id": "8296e69f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\left\\{X\\vert x_j < s\\right\\},\n", @@ -397,9 +395,7 @@ { "cell_type": "markdown", "id": "5fdaf082", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and" ] @@ -407,9 +403,7 @@ { "cell_type": "markdown", "id": "ecbe016e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\left\\{X\\vert x_j \\geq s\\right\\},\n", @@ -419,9 +413,7 @@ { "cell_type": "markdown", "id": "15beee2b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "so that we obtain the lowest MSE, that is" ] @@ -429,9 +421,7 @@ { "cell_type": "markdown", "id": "ca1fbbdc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\sum_{i:x_i\\in R_j}(y_i-\\overline{y}_{R_1})^2+\\sum_{i:x_i\\in R_2}(y_i-\\overline{y}_{R_2})^2,\n", @@ -441,9 +431,7 @@ { "cell_type": "markdown", "id": "f22ebf75", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which we want to minimize by considering all predictors\n", "$x_1,x_2,\\dots,x_p$. We consider also all possible values of $s$ for\n", @@ -474,9 +462,7 @@ { "cell_type": "markdown", "id": "65b3fde8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Pruning the tree\n", "\n", @@ -498,9 +484,7 @@ { "cell_type": "markdown", "id": "1a17ded5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Cost complexity pruning\n", "\n", @@ -510,9 +494,7 @@ { "cell_type": "markdown", "id": "9e7fee55", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\sum_{m=1}^{\\overline{T}}\\sum_{i:x_i\\in R_m}(y_i-\\overline{y}_{R_m})^2+\\alpha\\overline{T},\n", @@ -522,9 +504,7 @@ { "cell_type": "markdown", "id": "38b959d5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "is as small as possible. Here $\\overline{T}$ is \n", "the number of terminal nodes of the tree $T$ , $R_m$ is the\n", @@ -550,9 +530,7 @@ { "cell_type": "markdown", "id": "2f697501", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Schematic Regression Procedure\n", "\n", @@ -576,9 +554,7 @@ { "cell_type": "markdown", "id": "08bd7d1f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A Classification Tree\n", "\n", @@ -599,9 +575,7 @@ { "cell_type": "markdown", "id": "9a96e651", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Growing a classification tree\n", "\n", @@ -626,9 +600,7 @@ { "cell_type": "markdown", "id": "806e702f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Classification tree, how to split nodes\n", "\n", @@ -645,9 +617,7 @@ { "cell_type": "markdown", "id": "09a9fee6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "p_{mk} = \\frac{1}{N_m}\\sum_{i\\in R_m}I(y_i=k).\n", @@ -657,9 +627,7 @@ { "cell_type": "markdown", "id": "db7a8d09", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We let $p_{mk}$ represent the majority class of observations in region\n", "$m$. The three most common ways of splitting a node are given by\n", @@ -670,9 +638,7 @@ { "cell_type": "markdown", "id": "e0c4bb78", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{1}{N_m}\\sum_{i\\in R_m}I(y_i\\ne k) = 1-p_{mk}.\n", @@ -682,9 +648,7 @@ { "cell_type": "markdown", "id": "7ab4672d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "* Gini index $g$" ] @@ -692,9 +656,7 @@ { "cell_type": "markdown", "id": "a8eacc23", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g = \\sum_{k\\ne k'} p_{mk}p_{mk'}=\\sum_{k=1}^K p_{mk}(1-p_{mk}).\n", @@ -704,9 +666,7 @@ { "cell_type": "markdown", "id": "41cc5617", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "* Information entropy or just entropy $s$" ] @@ -714,9 +674,7 @@ { "cell_type": "markdown", "id": "6a8c9a1e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "s = -\\sum_{k=1}^K p_{mk}\\log{p_{mk}}.\n", @@ -726,9 +684,7 @@ { "cell_type": "markdown", "id": "d4ad17e8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gini Index (or Coefficient or Impurity)\n", "\n", @@ -748,9 +704,7 @@ { "cell_type": "markdown", "id": "46b6f3a7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Why binary splits?\n", "\n", @@ -763,9 +717,7 @@ { "cell_type": "markdown", "id": "c3c9c089", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Computing a Tree using the Gini Index\n", "\n", @@ -789,9 +741,7 @@ { "cell_type": "markdown", "id": "85650c1f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The Table\n", "\n", @@ -817,9 +767,7 @@ { "cell_type": "markdown", "id": "77102ed0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## A possible code using Scikit-Learn" ] @@ -828,11 +776,66 @@ "cell_type": "code", "execution_count": 2, "id": "d6552748", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " (0, 2)\t1.0\n", + " (0, 5)\t1.0\n", + " (0, 8)\t1.0\n", + " (1, 1)\t1.0\n", + " (1, 3)\t1.0\n", + " (1, 6)\t1.0\n", + " (2, 0)\t1.0\n", + " (2, 4)\t1.0\n", + " (2, 6)\t1.0\n", + " (3, 1)\t1.0\n", + " (3, 3)\t1.0\n", + " (3, 7)\t1.0\n", + " (4, 1)\t1.0\n", + " (4, 4)\t1.0\n", + " (4, 7)\t1.0\n", + " (5, 0)\t1.0\n", + " (5, 3)\t1.0\n", + " (5, 7)\t1.0\n", + " (6, 1)\t1.0\n", + " (6, 3)\t1.0\n", + " (6, 6)\t1.0\n", + " (7, 0)\t1.0\n", + " (7, 4)\t1.0\n", + " (7, 7)\t1.0\n", + " (8, 0)\t1.0\n", + " (8, 3)\t1.0\n", + " (8, 7)\t1.0\n", + " (9, 1)\t1.0\n", + " (9, 3)\t1.0\n", + " (9, 6)\t1.0\n", + " (10, 1)\t1.0\n", + " (10, 4)\t1.0\n", + " (10, 7)\t1.0\n", + "Train set accuracy with Decision Tree: 0.82\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "sh: dot: command not found\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -906,9 +909,7 @@ { "cell_type": "markdown", "id": "65f9b0e6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Visualizing Trees, More examples" ] @@ -917,11 +918,125 @@ "cell_type": "code", "execution_count": 3, "id": "77a71b97", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "sh: dot: command not found\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import os\n", "from sklearn.datasets import load_breast_cancer\n", @@ -961,9 +1076,7 @@ { "cell_type": "markdown", "id": "49552de8", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Visualizing the Tree, The Moons" ] @@ -972,11 +1085,26 @@ "cell_type": "code", "execution_count": 4, "id": "0cb2a2f7", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "sh: dot: command not found\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -1007,9 +1135,7 @@ { "cell_type": "markdown", "id": "16130ca7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Other ways of visualizing the trees\n", "\n", @@ -1020,11 +1146,47 @@ "cell_type": "code", "execution_count": 5, "id": "b9434a8b", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": 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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", @@ -1038,9 +1200,7 @@ { "cell_type": "markdown", "id": "a0057601", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Printing out as text\n", "\n", @@ -1052,11 +1212,23 @@ "cell_type": "code", "execution_count": 6, "id": "11360a1e", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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", @@ -1071,9 +1243,7 @@ { "cell_type": "markdown", "id": "4504594e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Algorithms for Setting up Decision Trees\n", "\n", @@ -1091,9 +1261,7 @@ { "cell_type": "markdown", "id": "7a696aaf", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The CART algorithm for Classification\n", "\n", @@ -1108,9 +1276,7 @@ { "cell_type": "markdown", "id": "b4d50972", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(k,t_k) = \\frac{m_{\\mathrm{left}}}{m}G_{\\mathrm{left}}+ \\frac{m_{\\mathrm{right}}}{m}G_{\\mathrm{right}},\n", @@ -1120,9 +1286,7 @@ { "cell_type": "markdown", "id": "ddce3ffe", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $G_{\\mathrm{left/right}}$ measures the impurity of the left/right subset and $m_{\\mathrm{left/right}}$\n", " is the number of instances in the left/right subset\n", @@ -1137,9 +1301,7 @@ { "cell_type": "markdown", "id": "c9008fb5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The CART algorithm for Regression\n", "\n", @@ -1150,9 +1312,7 @@ { "cell_type": "markdown", "id": "e52d52b3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(k,t_k) = \\frac{m_{\\mathrm{left}}}{m}\\mathrm{MSE}_{\\mathrm{left}}+ \\frac{m_{\\mathrm{right}}}{m}\\mathrm{MSE}_{\\mathrm{right}}.\n", @@ -1162,9 +1322,7 @@ { "cell_type": "markdown", "id": "4761e40c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Here the MSE for a specific node is defined as" ] @@ -1172,9 +1330,7 @@ { "cell_type": "markdown", "id": "067325ef", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathrm{MSE}_{\\mathrm{node}}=\\frac{1}{m_\\mathrm{node}}\\sum_{i\\in \\mathrm{node}}(\\overline{y}_{\\mathrm{node}}-y_i)^2,\n", @@ -1184,9 +1340,7 @@ { "cell_type": "markdown", "id": "da2adf97", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "with" ] @@ -1194,9 +1348,7 @@ { "cell_type": "markdown", "id": "a7229514", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\overline{y}_{\\mathrm{node}}=\\frac{1}{m_\\mathrm{node}}\\sum_{i\\in \\mathrm{node}}y_i,\n", @@ -1206,9 +1358,7 @@ { "cell_type": "markdown", "id": "89b0bcf4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "the mean value of all observations in a specific node.\n", "\n", @@ -1219,9 +1369,7 @@ { "cell_type": "markdown", "id": "87835518", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Computing the Gini index\n", "\n", @@ -1263,9 +1411,7 @@ { "cell_type": "markdown", "id": "afda0c4f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Simple Python Code to read in Data and perform Classification" ] @@ -1274,11 +1420,84 @@ "cell_type": "code", "execution_count": 7, "id": "02ca4cbd", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "sh: dot: command not found\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -1352,9 +1571,7 @@ { "cell_type": "markdown", "id": "9a2283ef", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Computing the Gini Factor\n", "\n", @@ -1370,11 +1587,72 @@ "cell_type": "code", "execution_count": 8, "id": "c272c272", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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", @@ -1441,9 +1719,7 @@ { "cell_type": "markdown", "id": "196d305a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Entropy and the ID3 algorithm\n", "\n", @@ -1480,9 +1756,7 @@ { "cell_type": "markdown", "id": "d6185ae2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Cancer Data again now with Decision Trees and other Methods" ] @@ -1491,11 +1765,37 @@ "cell_type": "code", "execution_count": 9, "id": "874004a1", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "Test set accuracy with Logistic Regression: 0.96\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": [ + "/opt/homebrew/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:814: 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", + " n_iter_i = _check_optimize_result(\n" + ] + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -1543,9 +1843,7 @@ { "cell_type": "markdown", "id": "685c872e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Another example, the moons again" ] @@ -1554,11 +1852,21 @@ "cell_type": "code", "execution_count": 10, "id": "5faa657d", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from __future__ import division, print_function, unicode_literals\n", "\n", @@ -1629,9 +1937,7 @@ { "cell_type": "markdown", "id": "ef9f7bda", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Playing around with regions" ] @@ -1640,11 +1946,21 @@ "cell_type": "code", "execution_count": 11, "id": "cfa4e4a3", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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", @@ -1671,9 +1987,7 @@ { "cell_type": "markdown", "id": "9ee25393", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Regression trees" ] @@ -1682,10 +1996,7 @@ "cell_type": "code", "execution_count": 12, "id": "70ccd1c3", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# Quadratic training set + noise\n", @@ -1700,11 +2011,19 @@ "cell_type": "code", "execution_count": 13, "id": "ad0b5b11", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DecisionTreeRegressor(max_depth=2, random_state=42)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", @@ -1715,9 +2034,7 @@ { "cell_type": "markdown", "id": "6d1892d9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Final regressor code" ] @@ -1726,11 +2043,21 @@ "cell_type": "code", "execution_count": 14, "id": "37f69289", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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", @@ -1776,11 +2103,21 @@ "cell_type": "code", "execution_count": 15, "id": "6881748e", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "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", @@ -1815,9 +2152,7 @@ { "cell_type": "markdown", "id": "de0b705f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Pros and cons of trees, pros\n", "\n", @@ -1839,9 +2174,7 @@ { "cell_type": "markdown", "id": "79f60869", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Disadvantages\n", "\n", @@ -1867,9 +2200,7 @@ { "cell_type": "markdown", "id": "a010938a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods\n", "\n", @@ -1898,9 +2229,7 @@ { "cell_type": "markdown", "id": "9fe8c2e9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## An Overview of Ensemble Methods\n", "\n", @@ -1914,9 +2243,7 @@ { "cell_type": "markdown", "id": "809ad614", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Bagging\n", "\n", @@ -1936,9 +2263,7 @@ { "cell_type": "markdown", "id": "ad358156", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## More bagging\n", "\n", @@ -1968,9 +2293,7 @@ { "cell_type": "markdown", "id": "096aecd6", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Making your own Bootstrap: Changing the Level of the Decision Tree\n", "\n", @@ -1982,11 +2305,73 @@ "cell_type": "code", "execution_count": 16, "id": "115dec4b", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Polynomial degree: 1\n", + "Error: 0.061448998019132145\n", + "Bias^2: 0.06105618955900724\n", + "Var: 0.00039280846012491264\n", + "0.061448998019132145 >= 0.06105618955900724 + 0.00039280846012491264 = 0.06144899801913215\n", + "Polynomial degree: 2\n", + "Error: 0.03875741192664723\n", + "Bias^2: 0.034968923076368015\n", + "Var: 0.0037884888502792186\n", + "0.03875741192664723 >= 0.034968923076368015 + 0.0037884888502792186 = 0.03875741192664724\n", + "Polynomial degree: 3\n", + "Error: 0.02041636912454364\n", + "Bias^2: 0.01715994964969937\n", + "Var: 0.003256419474844272\n", + "0.02041636912454364 >= 0.01715994964969937 + 0.003256419474844272 = 0.020416369124543643\n", + "Polynomial degree: 4\n", + "Error: 0.015965748446438423\n", + "Bias^2: 0.013554291046963396\n", + "Var: 0.0024114573994750295\n", + "0.015965748446438423 >= 0.013554291046963396 + 0.0024114573994750295 = 0.015965748446438426\n", + "Polynomial degree: 5\n", + "Error: 0.013812239104124671\n", + "Bias^2: 0.011703251217852149\n", + "Var: 0.002108987886272521\n", + "0.013812239104124671 >= 0.011703251217852149 + 0.002108987886272521 = 0.013812239104124671\n", + "Polynomial degree: 6\n", + "Error: 0.014027604155185338\n", + "Bias^2: 0.011913977762964968\n", + "Var: 0.0021136263922203642\n", + "0.014027604155185338 >= 0.011913977762964968 + 0.0021136263922203642 = 0.014027604155185332\n", + "Polynomial degree: 7\n", + "Error: 0.015038650222479456\n", + "Bias^2: 0.012358926638419724\n", + "Var: 0.0026797235840597274\n", + "0.015038650222479456 >= 0.012358926638419724 + 0.0026797235840597274 = 0.015038650222479452\n", + "Polynomial degree: 8\n", + "Error: 0.01573056551137539\n", + "Bias^2: 0.012523761778720667\n", + "Var: 0.003206803732654721\n", + "0.01573056551137539 >= 0.012523761778720667 + 0.003206803732654721 = 0.01573056551137539\n", + "Polynomial degree: 9\n", + "Error: 0.016856035170026745\n", + "Bias^2: 0.013111698385627429\n", + "Var: 0.003744336784399317\n", + "0.016856035170026745 >= 0.013111698385627429 + 0.003744336784399317 = 0.016856035170026745\n", + "0.5424065596633239\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", @@ -2045,9 +2430,7 @@ { "cell_type": "markdown", "id": "bab9d221", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Why Voting?\n", "\n", @@ -2069,9 +2452,7 @@ { "cell_type": "markdown", "id": "dede957d", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Tossing coins\n", "\n", @@ -2100,9 +2481,7 @@ { "cell_type": "markdown", "id": "2c031b00", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Standard imports first" ] @@ -2111,10 +2490,7 @@ "cell_type": "code", "execution_count": 17, "id": "d3053934", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "# Common imports\n", @@ -2159,9 +2535,7 @@ { "cell_type": "markdown", "id": "fb1a816f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Simple Voting Example, head or tail" ] @@ -2170,11 +2544,21 @@ "cell_type": "code", "execution_count": 18, "id": "712fe9bf", - "metadata": { - "collapsed": false, - "editable": true - }, - "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", @@ -2204,9 +2588,7 @@ { "cell_type": "markdown", "id": "5378fb48", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Using the Voting Classifier\n", "\n", @@ -2217,11 +2599,23 @@ "cell_type": "code", "execution_count": 19, "id": "dbdbeb22", - "metadata": { - "collapsed": false, - "editable": true - }, - "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", @@ -2270,9 +2664,7 @@ { "cell_type": "markdown", "id": "db9877c1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Voting and Bagging" ] @@ -2281,11 +2673,21 @@ "cell_type": "code", "execution_count": 20, "id": "858fb390", - "metadata": { - "collapsed": false, - "editable": true - }, - "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": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -2311,11 +2713,19 @@ "cell_type": "code", "execution_count": 21, "id": "88fa10dd", - "metadata": { - "collapsed": false, - "editable": true - }, - "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", @@ -2329,11 +2739,22 @@ "cell_type": "code", "execution_count": 22, "id": "a1efce8f", - "metadata": { - "collapsed": false, - "editable": true - }, - "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": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "log_clf = LogisticRegression(random_state=42)\n", "rnd_clf = RandomForestClassifier(random_state=42)\n", @@ -2349,11 +2770,19 @@ "cell_type": "code", "execution_count": 23, "id": "474e61d5", - "metadata": { - "collapsed": false, - "editable": true - }, - "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", @@ -2366,9 +2795,7 @@ { "cell_type": "markdown", "id": "c5e95445", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Random forests\n", "\n", @@ -2389,9 +2816,7 @@ { "cell_type": "markdown", "id": "612770e0", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "m\\approx \\sqrt{p}.\n", @@ -2401,9 +2826,7 @@ { "cell_type": "markdown", "id": "41320169", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In building a random forest, at\n", "each split in the tree, the algorithm is not even allowed to consider\n", @@ -2426,9 +2849,7 @@ { "cell_type": "markdown", "id": "93e35942", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Random Forest Algorithm\n", "The algorithm described here can be applied to both classification and regression problems.\n", @@ -2452,9 +2873,7 @@ { "cell_type": "markdown", "id": "8a7d211e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Random Forests Compared with other Methods on the Cancer Data" ] @@ -2463,11 +2882,82 @@ "cell_type": "code", "execution_count": 24, "id": "7decb0a8", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "Test set accuracy with Logistic Regression: 0.96\n", + "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" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:814: 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", + " n_iter_i = _check_optimize_result(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.93333333 0.8 0.93333333 1. 1. 0.92857143\n", + " 1. 0.92857143 0.92857143 1. ]\n", + "Test set accuracy with Random Forests and scaled data: 0.97\n" + ] + }, + { + "data": { + "image/png": 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\n", 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56623KFSokJOjy31MojAM44ERExPDpEmTCAgIYPPmzezfv59z5845O6xcz+USxV9eV+G9Ns4OwzAMF/Pjjz/i7+/PlClTuH37Ns899xwnTpygWrVqzg4t13NoohCRLiJyQkROi8jENF6vLCJbROQPETkoIpleGAwvdhMG+DkmYMMw8hxV5bnnnqNTp06cPn0aX19ftm3bxkcffUTp0qWdHZ5LcFiiEBE3YB7wKOAL9BMR37uavQ58qar1gb7AfEfFYxjGg0lEqFq1KgULFuSdd97hjz/+oGXLls4Oy6U48j6KJsBpVT0DICIrgR5A8iFLChSzPi8OXHBgPIZhPCD2799PaGgojz76KAATJkygf//+5jJTFjny0lMF4O9ky8HWdclNBp4RkWDgO2BkWhsSkaEiskdE9jgiUMMw8obIyEjGjh1Lw4YNGThwIFevXgXAw8PDJIn74OzO7H7AMlWtCHQF/isiqWJS1cWq2iirBa0Mw8jbVJU1a9bg6+vL+++/D8BTTz2Fu7u7kyPLGxx56SkEqJRsuaJ1XXKDgS4AqvqbiHgCXsBlB8ZlGEYe8tdffzFixAjWr18PQKNGjVi0aBENGjRwcmR5hyPPKHYDtUSkmogUwNJZve6uNueB9gAiUgfwBMIy2mjDM5WgzFwHhGsYhqtRVXr27Mn69espVqwYc+fOZefOnSZJZDOHJQpVjQdGAN8Dx7CMbjoiIlNEJMja7GVgiIgcAD4HBqmrTZBhGEaOS0xMBCwjmmbOnEmfPn04fvw4w4cPx83NzcnR5T0uN3FRI/fKuqfEeAgb4exQDMPIYVeuXGHiRMstWUuWLHFyNK7FTIVqGEaepqp88skn+Pj48OGHH7J8+XKCg4OdHdYDw+USxd7qf5uzCcN4gBw7doy2bdsyaNAgwsPDadOmDQcOHKBixYrODu2B4XKJwjCMB4Oq8sYbbxAYGMjPP/+Ml5cXn3zyCZs3b8bHx8fZ4T1QTKIwDCNXEhFCQkKIi4tjyJAhnDhxggEDBiAizg7tgeNyndniLaonXCtmwzDsc+HCBcLDwwkICAAgPDycEydO0KJFCydH5vpMZ7ZhGC4tISGBuXPnUqdOHfr27cvt27cB8PLyMkkiFzCJwjAMp9q3bx/NmjVj5MiR3Lhxgxo1aqSYotRwPpdLFF43CsPyw84OwzCM+3Tjxg1eeuklGjduzJ49e6hYsSL/+9//WLduHV5eXs4Oz0jG7kQhIrliItkq4aXg5a3ODsMwjPugqrRq1Yo5c+YgIowdO5ajR4/y+OOPm87qXCjTRCEij4jIUeC4dTlQRMwEQ4ZhZJmIMGbMGJo0acKePXt47733KFq0qLPDMtKR6agnEfkd6AWss85Eh4gcVlWnzEdqSngYhuu5ffs2s2bNws3NjXHjxgGWs4rExERTmymH3M+oJ7vKjKvq33edDiZkZWfZIaxoFPS/e0ZVwzByq19++YUXXniBo0eP4uHhwYABAyhXrhwiYpKEi7Cnj+JvEXkEUBFxF5F/YakG6xTny1yDWe2ctXvDMOwUHh7Oc889R6tWrTh69Ci1atVi/fr1lCtXztmhGffInkTxAjAcyzSmIUA9YJgDYzIMw4WpKh9//DE+Pj58/PHHFChQgEmTJnHw4EE6dOjg7PCMLLDn0pO3qj6dfIWItAC2OyYkwzBc3YoVK7hy5Qrt2rVj/vz5eHt7Ozsk4z7Y05m9T1UbZLYup5gSHoaR+0RHRxMREUH58uUBOHHiBLt37+bpp582w11zCYd0ZotIc+ARoIyIjE32UjHA9EAZhgHAhg0bGD58ONWrV+fHH39ERPD29jZnEXlIRn0UBYAiWJJJ0WSPG1iGyxqG8QALCQnhySefpGvXrpw9e5awsDCuXLni7LAMB7Dn0lMVVf0rh+LJlG/hh/Ros9nwUx9nh2IYD6SEhATmzZvH66+/TmRkJIULF2bKlCmMGjWK/PntGnFvOIGj76OIFpEZQF3AM2mlqjpljGqh2wXgYJgzdm0YD7zExERat27N9u2WsSyPPfYYs2fPpnLlyk6OzHAke4bHfoqlfEc14D/AOWC3A2MyDCOXypcvH506daJSpUp8/fXXrFmzxiSJB4A9l572qmpDETmoqgHWdbtVtXGORHgXU8LDMHKOqvLll1+SP39+evbsCUBsbCxxcXEUKVLEydEZ98LRl57irP+Gikg34AJQKis7yw7HKlyEr3s7a/eG8cD4888/GTZsGD/88ANlypShXbt2lCxZEg8PDzw8PJwdnpGD7EkUU0WkOPAy8AGW4bGjHRlURqI94iCwrLN2bxh5XmxsLDNmzOCtt94iJiaGkiVL8tZbb1G8eHFnh2Y4SaaJQlXXW59GAG3Bdme2YRh5zNatW3nxxRc5fvw4AP3792fmzJmULWu+nD3IMrrhzg3ojaXG00ZVPSwi3YFXgYJA/ZwJ0TCMnJCQkMCwYcM4fvw43t7eLFiwgLZt2zo7LCMXyOiM4iOgErALmCMiF4BGwERVXZsDsRmG4WCJiYnExMRQqFAh3NzcWLBgAdu2bWP8+PGmH8KwSXfUk4gcBgJUNVFEPIGLQA1Vdeqtl6bWk2Fkj0OHDvHCCy/g4+PDRx995OxwDAe7n1FPGd1HcVtVEwFUNQY44+wkAVAo1h0OXHZ2GIbhsm7evMmECRNo0KABO3bsYMOGDVy7ds3ZYRm5WEaJwkdEDlofh5ItHxKRgzkV4N3qhDwEHb501u4Nw6V98803+Pr6Mn36dFufxNGjRylZsqSzQzNysYz6KOrkWBSGYThUfHw8ffr04X//+x8A9erVY9GiRTRp0sTJkRmuIN1EkZsKARqGcX/y589P8eLFKVKkCG+++SYjRowwBfwMu9lT6ynLRKSLiJwQkdMiMjGdNr1F5KiIHBGRzzLbZnSB2xBQJvuDNYw85vfff+f333+3Lc+YMYNjx44xevRokySMe5Jpracsb9hyH8ZJoCMQjKWQYD9VPZqsTS3gS6Cdql4TkbKqmmFPtRn1ZBgZu379Oq+88gqLFi3Cx8eH/fv3U6BAAWeHZTiZo0Y9Jd9BQRG51+mqmgCnVfWMqt4GVgI97mozBJinqtcAMksShmGkT1X57LPP8PHxYeHChbi5uREUFERCQoKzQzNcXKaJQkT+D9gPbLQu1xORdXZsuwLwd7LlYOu65GoDtUVku4jsFJEudkVtGEYKp06dolOnTjz99NNcunSJFi1a8Mcff/Duu+9SsGBBZ4dnuDh7LlROxnJ2sBVAVfeLSLVs3H8toA1QEdgmIv6qej15IxEZCgwFLKnFMAybuLg42rVrR3BwMKVKlWL69Ok8++yz5Mvn0C5I4wFiV5lxVY0QkeTr7OkkCMFSAiRJReu65IKB31U1DjgrIiexJI4UEyOp6mJgMVj6KOzYt2HkeaqKiODu7s5bb73Fli1bmD59OmXKmMEeRvay5yvHERF5CnATkVoi8gGww4737QZqiUg1ESkA9AXuvmS1FsvZBCLiheV84YydsRvGA+nSpUv079+fqVOn2tYNGDCAjz/+2CQJwyHsSRQjscyXHQt8hqXc+OjM3qSq8cAI4HvgGPClqh4RkSkiEmRt9j1wRUSOAluAcZmVCakcVhLGbrYjbMPIWxITE20jmVasWMGsWbOIjIx0dljGA8CeqVAbqOq+HIonU2YqVONBdODAAV544QV27twJQJcuXZg3bx7Vq1d3cmSGq3D08Nj3ROSYiLwpIn5Z2YlhGFkTFxfHv/71Lxo2bMjOnTspX748X375Jd99951JEkaOyTRRqGpbLDPbhQGLrEUBX3d4ZIZhkD9/fv744w8SExMZOXIkx44d48knn+SuwSWG4VD3dGe2iPgD44E+quqUWz3LlC+iYdN2wgBzcmPkTefPnychIYFq1Syj0E+dOkVERASNGmXpqoFhAA6+9CQidURksrXUeNKIp4pZ2Vl2CC920yQJI0+Ki4tj5syZ1KlThyFDhpD0Ja5WrVomSRhOZc99FEuBL4DOqnrBwfEYxgPpt99+44UXXuDgQctUL6VKlSI6OprChQs7OTLDsCNRqGrznAjEMB5E165dY+LEiSxevBiAatWqMW/ePB599FEnR2YYd6SbKETkS1Xtbb3klLwjQwBV1QCHR2cYeVhsbCz16tXj/PnzuLu7M27cOF577TUKFSrk7NAMI4WMzihesv7bPScCMYwHjYeHB4MHD+ann35iwYIF+Pr6Ojskw0iTPTfcTVPVCZmtyylmPgrDVcXExPDOO+/g7e3NU089BVimKHVzczPDXQ2Hc/QNdx3TWOe0C6gNz1SCMnOdtXvDyJIff/wRf39/pkyZwpgxY7h16xZguU/CJAkjt0s3UYjIi9b+CW8ROZjscRY4mHMhGobrunjxIk899RSdOnXi9OnT1K1bl6+++srMEWG4lIz6KD4DNgDvAMnnu45U1asOjcowXFxCQgKLFi3i1VdfJSIigoIFCzJp0iTGjBljpiU1XE5GiUJV9ZyIDL/7BREpZZKFYaQvISGBDz74gIiICLp27crcuXNtd1obhqtJtzNbRNaranfrpSbFMiw2iaqqUyqSmc5sI7eKjIwkISGBEiVKAPDrr79y6dIlnnjiCdMPYTjd/XRm31Otp9zAJAojt1FV1qxZw6hRo+jcuTMfffSRs0MyjFQcXeuphYgUtj5/RkRmiUjlrOzMMPKac+fOERQURM+ePQkJCeHw4cPExMQ4OyzDyFb2DI9dAESLSCDwMvAn8F+HRmUYuVxcXBzTpk3D19eX9evXU6xYMebOncuOHTvw9PR0dniGka3sKQoYr6oqIj2Auar6kYgMdnRghpFbRUdH06xZMw4dOgRA3759mTVrFuXLl3dyZIbhGPYkikgReQXoD7QUkXyAu2PDMozcq1ChQjRq1Ijo6Gjmz59Pp06dnB2SYTiUPSU8HgKeAnar6i/W/ok2qro8JwK8m5m4yMhpqsry5cupUaMG//jHPwCIiIigQIEC5sY5w2U4tDNbVS8CnwLFRaQ7EOOsJAFQJbwUvLzVWbs3HjDHjh2jbdu2DBo0iKFDh3L79m0AihcvbpKE8cCwZ9RTb2AX8CTQG/hdRHo5OjDDcKZbt27x+uuvExgYyM8//0yZMmV45ZVXcHc3V12NB489fRSvAY1V9TKAiJQBNgGrHRmYYTjLxo0bGT58OGfOnAFgyJAhvPvuu5QqVcrJkRmGc9iTKPIlJQmrK9g3rNYhwopGQX9Tt99wjKioKPr37094eDh+fn4sXLiQFi1aODssw3AqezqzZwABwOfWVX2Ag2Y+CiOvSEhIIDEx0XZZ6bPPPiM4OJgxY8aYS01GnuHwEh4i8gTwD+viL6q6Jis7yw4mURjZae/evTz//PP06NGDN954w9nhGIbD3E+iyGjO7FrATKAGcAj4l6qGZC1Ew8hdbty4wRtvvMHcuXNJTEzkxo0bTJw40ZxBGEYaMuprWAqsB3oCe4EPciQiw3AgVWXVqlX4+PgwZ84cRISxY8eyb98+kyQMIx0ZdWYXVdUl1ucnRGRfTgRkGI4SGRlJnz592LBhAwBNmzZl4cKF1KtXz7mBGUYul1Gi8BSR+tyZh6Jg8mVVNYnDcClFihQhNjaW4sWL8+677zJ06FDy5XPaAD7DcBkZTVy0JYP3qaq2c0xIGfMt/JAebTYbfurjjN0bLmbbtm2UL1+eWrVqAfDXX3/h6elJuXLlnByZYeQsh3Rmq2rbrIfkOIVuF4CDYc4Ow8jlwsPDGT9+PB9//DHt27fnxx9/RESoUqWKs0MzDJdjzruNPCUxMZGlS5fi7e3Nxx9/TIECBWjZsiUJCQnODs0wXJZDE4WIdBGREyJyWkQmZtCup4ioiGTptMgwAI4cOUKbNm0YPHgwV69epX379hw6dIhJkyaRP789RQgMw0iLw357RMQNmAd0BIKB3SKyTlWP3tWuKPAS8Ls92z1W4SJ83Tu7wzVcXEREBM2aNSMqKoqyZcsya9YsnnrqKUQk8zcbhpGhTBOFWH7Tngaqq+oU63wUD6nqrkze2gQ4rapnrNtZCfQAjt7V7k1gGjDOnoCjPeIgsKw9TY0HgKoiIhQvXpwJEyYQEhLC22+/TcmSJZ0dmmHkGfZcepoPNAf6WZcjsZwpZKYC8Hey5WDrOhsRaQBUUtVvM9qQiAwVkT0isseO/RoPgJCQEHr16sWKFSts61577TUWLFhgkoRhZDN7EkVTVR0OxACo6jWgwP3u2Dql6izg5czaqupiVW2U1aFdRt4RHx/P7Nmz8fHx4auvvmLSpEm2jmpzmckwHMOeRBFn7W9QsM1HkWjH+0KASsmWK1rXJSkK+AFbReQc0AxYZzq0jfTs3r2bpk2bMnr0aKKionjsscf4+eefcXNzc3ZohpGn2ZMo5gBrgLIi8hbwK/C2He/bDdQSkWoiUgDoC6xLelFVI1TVS1WrqmpVYCcQpKrm8pKRws2bNxkxYgRNmzZl3759VK5cma+//po1a9ZQqVKlzDdgGMZ9ybQzW1U/FZG9QHss5TseU9VjdrwvXkRGAN8DbsBSVT0iIlOAPaq6LuMtpK1QrDscuGw6tB8g+fPnZ9OmTeTLl4+xY8cyadIkChcu7OywDOOBYc/ERZXTWq+q5x0SUSYauVfWPSXGQ9gIZ+zeyCF//vknJUqUoHTp0oDlspOnpyf+/v5OjswwXNP9lPCw59LTt1jKjX8L/AScATZkZWeGkZnY2FimTp2Kn58fEybcmUSxcePGJkkYhpPYc+kpxW+ndUjrMIdFZDywtm7dyosvvsjx48cBywinhIQE01ltGE52zyU8rOXFmzogFrtEF7gNAWWctXvDAS5fvszAgQNp27Ytx48fx9vbm82bN7Ns2TKTJAwjF7DnzuyxyRbzAQ2ACw6LKBPHKl4yJcbzkPDwcOrUqcPVq1fx8PDgtddeY/z48Xh4eDg7NMMwrOyp9VQ02fN4LH0VXzkmHONB4+XlRY8ePQgODmb+/PnUrFnT2SEZhnGXDBOF9Ua7oqr6rxyKx8jjbt68yZQpU+jWrRutWrUCYP78+Xh4eJg7qw0jl0o3UYhIfuu9EC1yMiAj7/rmm28YMWIE58+f59tvv+XgwYPky5cPT09PZ4dmGEYGMjqj2IWlP2K/iKwDVgE3k15U1f85ODYjj/j777956aWXWLNmDQD169dn0aJFZr5qw3AR9vRReAJXgHZY6j2J9V+TKIwMxcfHM2fOHP79739z8+ZNihQpwtSpUxk+fLiZSMgwXEi6d2aLSDCW6q5JiSH5BWRV1VmODy+1KqVK6V+DVsOsds7Y/QMpLi6O4OBgYmJi7ul9iYmJhISEkJiYSKFChShZsqRJEIbhYJ6enlSsWBF3d/cU6+/nzuyMfmvdgCKkTBBJMq774UBlIovAf4+aRJGDgoODKVq0KFWrVs20wzk+Pp58+fLZLis9/PDDiAglSpTIgUgN48Gmqly5coXg4GCqVauWbdvNKFGEquqUbNuT4bJiYmIyTRKqytWrV/n7778pW7YsDz/8MICZRMgwcpCIULp0acLCwrJ1uxklCjNW0bDJKEnExMTw119/ERkZCUBUVJRtilLDMHKWI37vMkoU7bN9b9ngL6+rMK2Ns8MwsPRBXLx4kdDQUFSV/PnzU7FiRUqXLm2ShGHkIemOT1TVqzkZiL3Ci92EAX7ODuOBFxcXx5EjR7hw4QKqSunSpalbty5eXl7ZniTc3NyoV68efn5+/N///R/Xr1+3vXbkyBHatWuHt7c3tWrV4s033yT5AI0NGzbQqFEjfH19qV+/Pi+/nOnMu7lGv379CAgI4P3337erfZEiRRwSh6oyatQoatasSUBAAPv27Uuz3a1bt2jdurVtatrc5sqVK7Rt25YiRYowYkT60xRcvXqVjh07UqtWLTp27Mi1a9eA9I9DWFgYXbp0yZHP4CxmILuRJfnz56dAgQJ4enri7e1NtWrVUo2yyC4FCxZk//79HD58mFKlSjFv3jzA8ocpKCiIiRMncuLECQ4cOMCOHTuYP38+AIcPH2bEiBGsWLGCo0ePsmfPnmwvERIfH5+t20ty8eJFdu/ezcGDBxkzZoxD9mGvDRs2cOrUKU6dOsXixYt58cUX02y3dOlSnnjiCbsLOaoqiYn2zKqcPTw9PXnzzTeZOXNmhu3effdd2rdvz6lTp2jfvj3vvvsukP5xKFOmDOXLl2f79u0O/wxOo6ou9aA2auSso0ePamJiol6+fFmxjHjL9kdGChcubHu+YMECffHFF1VV9cMPP9T+/funaHv69GmtWLGiqqr2799fP/roo0w/X2RkpA4aNEj9/PzU399fV69enWq/q1at0oEDB6qq6sCBA/X555/XJk2a6JgxY7RKlSp67do1W9uaNWvqxYsX9fLly/rEE09oo0aNtFGjRvrrr7+m2vetW7ds+65Xr55u3rxZVVX9/f3V09NTAwMDddu2bSnec/HiRX3sscc0ICBAAwICdPv27SnijYyM1Hbt2mn9+vXVz89P165dq6qqUVFR2rVrVw0ICNC6devqypUrVVV1woQJWqdOHfX399eXX345VYxDhw7Vzz77zLZcu3ZtvXDhQqp2zZs317Nnz2YYw9mzZ7V27drav39/9fX11XPnzun06dO1UaNG6u/vr//+979t2+vRo4c2aNBAfX19ddGiRan2l1Uff/yxDh8+PN3Xk3++CxcuaO3atVU14+Owdu1a289lbnD06NFU67DMLJqlv7tmULuRqdu3b3P8+HFu3ryZeWMHSkhI4KeffmLw4MGA5bJTw4YNU7SpUaMGUVFR3Lhxg8OHD9t1qenNN9+kePHiHDp0CMB2qSEjwcHB7NixAzc3NxISElizZg3PPvssv//+O1WqVKFcuXI89dRTjBkzhn/84x+cP3+ezp07c+xYylmE582bh4hw6NAhjh8/TqdOnTh58iTr1q2je/fu7N+/P9W+R40aRevWrVmzZg0JCQlERUWleN3T05M1a9ZQrFgxwsPDadasGUFBQWzcuJGHH36Yb7/9FoCIiAiuXLnCmjVrOH78OCKS4rJekpCQkBRzk1esWJGQkBDKly9vW3f79m3OnDlD1apVM4wB4NSpU3zyySc0a9aMH374gVOnTrFr1y5UlaCgILZt20arVq1YunQppUqV4tatWzRu3JiePXvaZjxMMmbMGLZs2ZIq5r59+zJx4sT0/wMzcOnSJdtne+ihh7h06VKmx6FRo0a8/vrrWdqfKzCJwkhXVFQUkydPpkOHDnh5eeHu7s6VK1coWbJkjnZW37p1i3r16hESEkKdOnXo2LFjtm5/06ZNrFy50rZsz5DeJ5980naJpU+fPkyZMoVnn32WlStX0qdPH9t2jx49anvPjRs3iIqKStGX8OuvvzJy5EgAfHx8qFKlCidPnqRYsWLp7nvz5s0sX74csPTfFC9ePMXrqsqrr77Ktm3byJcvHyEhIVy6dAl/f39efvllJkyYQPfu3WnZsiXx8fF4enoyePBgunfvTvfu3TP97GkJDw9Pca9MejEAVKlShWbNmgHwww8/8MMPP1C/fn3A8jN36tQpWrVqxZw5c2xlX/7++29OnTqVKlHY23+TVSJi18962bJluXDBabMvOJzpozDStHbtWurUqcN7770HWH4R/Pz8KFWqVI6PaErqo/jrr79QVVsfha+vL3v37k3R9syZMxQpUoRixYpRt27dVK/fi+Sf8+670gsXLmx73rx5c06fPk1YWBhr167liSeeACyjwnbu3Mn+/fvZv38/ISEhDutwTu7TTz8lLCyMvXv3sn//fsqVK0dMTAy1a9dm3759+Pv78/rrrzNlyhTy58/Prl276NWrF+vXr0+zU7ZChQr8/ffftuXg4GAqVKiQok3BggVTHKP0YoCUx05VeeWVV2zH6PTp0wwePJitW7eyadMmfvvtNw4cOED9+vXTrAwwZswY6tWrl+qR1K+QFeXKlSM0NBSA0NBQypYtm+lxiImJoWDBglneZ27ncomi4ZlKUGaus8PI00JCQujbty/BwcE0bNiQhx56iMqVKzt9trlChQoxZ84c3nvvPeLj43n66af59ddf2bRpE2A58xg1ahTjx48HYNy4cbz99tucPHkSsPzhXrhwYartduzY0ZZ84M6lp3LlynHs2DESExNt32zTIiI8/vjjjB07ljp16ti+9Xbq1IkPPvjA1i6ty0gtW7bk008/BeDkyZOcP38eb2/vDI9D+/btWbBgAWC5HBcREZHi9YiICMqWLYu7uztbtmzhr7/+AuDChQsUKlSIZ555hnHjxrFv3z6ioqKIiIiga9euvP/++xw4cCDV/oKCgli+fDmqys6dOylevHiKy05gOQtLSEiw/TFPL4a7de7cmaVLl9oun4WEhHD58mUiIiIoWbIkhQoV4vjx4+zcuTPN97///vu2JJP8kdXLTkmf95NPPgHgk08+oUePHpkeh5MnT+Lnl4dHY2a1c8NZj4b5K6l6fXDvvTtGhm7fvq2JiYm25ZkzZ+qcOXM0Pj4+zY6xnJS8U1lVtXv37rp8+XJVVT148KC2bt1aa9eurTVq1NDJkyen+BzffPONNmjQQH18fLROnTo6bty4VNuPjIzUAQMGaN26dTUgIEC/+uorVbV0YFevXl2bNm2qw4cPT9GZvWrVqhTb2L17twK6bNky27qwsDDt3bu3+vv7a506dfT5559Pte/0OrPPnj2rdevWTfN4XLx4UYOCgtTPz08DAwN1x44dKY5TWFiYNmvWTP38/HTQoEHq4+OjZ8+e1Y0bN6q/v78GBgZqo0aNdPfu3XrhwgVt3Lix+vv7q5+fX4r4kyQmJuqwYcO0evXq6ufnp7t3704zrueee05//PHHDGNI63P9v//3/9TPz0/9/Py0WbNmevr0aY2JidEuXbqoj4+P9ujRQ1u3bq1btmxJc7/3okqVKlqyZEktXLiwVqhQQY8cOaKqqoMHD7Z9rvDwcG3Xrp3WrFlT27dvr1euXMn0OMyYMUPnzJlz3/Fll+zuzHb6H/57fZhEkf22b9+u/v7+tj++d3N2ojBcw969e/WZZ55xdhhO0bJlS7169aqzw7DJ7kThcpeejOxz9epVnn/+eVq0aMGhQ4eYP3++5duDYWRBgwYNaNu2ba694c5RwsLCGDt2bJ6ua5ZumfHcSrxF9YRrxZzbqCorVqzg5ZdfJiwsDHd3d8aPH89rr72WZofcsWPHqFOnjhMiNQwjK9L6nXVUmXEjD7p06RL9+vWzjT1v3bo1CxYsMInAMIx0mUtPD5gSJUoQGhqKl5cXy5YtY8uWLSZJGIaRIXNG8QD48ccfadCgAaVLl8bDw4NVq1ZRvnz5VDcvGYZhpMWcUeRhoaGh9OvXj06dOjFhwgTbej8/P5MkDMOwm0kUeVBCQgLz58/Hx8eHlStXUrBgQby9vV12RJMpM+7cMuPHjx+nefPmeHh4ZFh5VVVp164dN27ccEgc2aFLly6UKFEiw1IlsbGx9OnTh5o1a9K0aVPOnTtne+2dd96hZs2aeHt78/333wOWOletWrVyWCXhXCGr42qd9fB6qLDqJ4fufWDxA2Lv3r3auHFjW1XWbt262Sp6ZpWz76NIfsPdgAEDdOrUqaqqGh0drdWrV9fvv/9eVVVv3rypXbp00blz56qq6qFDh7R69ep67NgxVVWNj4/X+fPnZ2tscXFx2bq9JKGhoVqjRo17es/dNyZml0uXLumuXbv01Vdf1RkzZqTbbv369Tp69Oh72nZ8fPz9hndPNm3apOvWrdNu3bql22bevHm2myM///xz7d27t6qqHjlyRAMCAjQmJkbPnDmj1atXt8U/efJkXbFiheM/gJ3MDXfmhrt0nT17Vt3c3BTQChUq6FdffZXiLuWsSv5DxyYc8siIKTPu3DLjSSZNmpRhoujXr1+Ku6fTKxNeuHBhHTt2rAYEBOgvv/yi//3vf7Vx48YaGBioQ4cOtf3xfeGFF7Rhw4bq6+ubovz4/dqyZUuGiaJTp062u93j4uK0dOnSmpiYqG+//ba+/fbbabbbv3+/Pvroo9kW4/1yqTLjItIFmA24AR+q6rt3vT4W+CcQD4QBz6lq2kVhjExVrVqVZ599lqJFi/Kf//yHokWLOjukbGXKjFvkdJlxe23fvp1FixbZltMrE37z5k2aNm3Ke++9x7Fjx5g2bRrbt2/H3d2dYcOG8emnnzJgwADeeustSpUqRUJCAu3bt+fgwYMEBASk2OeMGTNstbKSS6o+mxXJy4nnz5+f4sWLc+XKFUJCQmxVb+FOmXGw9Pvt3r07S/tzBQ5LFCLiBswDOgLBwG4RWaeqR5M1+wNopKrRIvIiMB3o46iY8ppz584xcuRI/vWvf9G6dWsAFi9e7NDqrto+5/s5TJnxlHJjmXGw3Omf/MtJemXC3dzc6NmzJwA//fQTe/fupXHjxoDl/zqpWuuXX37J4sWLiY+PJzQ0lKNHj6ZKFOPGjWPcuHFZjjm7uLm5UaBAASIjI/PcFzRwbGd2E+C0qp5R1dvASqBH8gaqukVVo62LO4GKmW00rGgU9PfN9mBdSVxcHNOmTcPX15f169enqJSZ0yXAc4IpM35vsrvMuL3y589vm9o0ozLhnp6etiSrqgwcONB2jE6cOMHkyZM5e/YsM2fO5KeffuLgwYN069YtzTLjM2bMSLPM+KhRo7L8OZKXE4+PjyciIoLSpUtnWm49NjYWT0/PLO83N3NkoqgA/J1sOdi6Lj2DgQ1pvSAiQ0Vkj4jsOV/mGsxql41hupZff/2V+vXrM3HiRG7dukXfvn353//+5+ywcoQpM26R02XG7eXt7c2ZM2dsMdhTJrx9+/asXr2ay5cvA5azkr/++osbN25QuHBhihcvzqVLl9iwIc0/DYwbNy7NMuNZvewEKcuMr169mnbt2iEiBAUFsXLlSmJjYzl79iynTp2iSZMmAFy5csU2uVeelNXOjcweQC8s/RJJy/2Buem0fQbLGYVHptt9QOfMvnr1qg4ePNg2mqlGjRq20T6OlptGPamaMuM5XWY8NDRUK1SooEWLFtXixYtrhQoVNCIiIlW7KVOm6JIlS1RVMywTfvf/58qVKzUwMFD9/f21QYMG+ttvv9mOc61atbRdu3b6+OOP68cff5zm8bgX//jHP9TLy0s9PT21QoUKunHjRlVVfeONN/Trr79WVcv/Sa9evbRGjRrauHFj/fPPP23vnzp1qlavXl1r166t3333nW39qlWrdOzYsfcdX3ZxmVFPQHPg+2TLrwCvpNGuA3AMKGvXdh/QRBEeHq5eXl7q7u6ub7zxhkZHR+fYvp2dKAzXcOHCBe3QoYOzw3CKxx9/XE+cOOHsMGxcadTTbqCWiFQDQoC+wFPJG4hIfWAR0EVVLzswFpd0/PhxqlWrhoeHB6VLl+bTTz+lcuXK+Pj4ODs0w0ilfPnyDBkyhBs3bmTYGZ/X3L59m8cee4zatWs7OxSHcVgfharGAyOA77GcMXypqkdEZIqIBFmbzQCKAKtEZL+IrHNUPK4kOjqa1157jYCAAKZPn25b36lTJ5MkjFytd+/eD1SSAChQoAADBgxwdhgO5dD7KFT1O+C7u9b9O9nzDo7cvyvauHEjw4YN4+zZswCEh4c7OSLDMB50LlfrqU5wOWj/hbPDyHYXLlygd+/ePProo5w9exZ/f3+2b9/O7NmznR2aYRgPOJcrM17odgE4GObsMLLVyZMnadSoEZGRkRQqVIjJkyczevTovDvUzjAMl+JyiSIvqlWrFo0bN6Zw4cJ88MEHVKlSxdkhGYZh2Ljcpae84MaNG4wePdp2I5iIsG7dOtatW2eSRBatW7eOd999N/OGedyyZcsoU6YM9erVw8fHJ1WJ8sWLF+Pj44OPjw9NmjTh119/tb0WFxfHxIkTqVWrFg0aNKB58+bp3ujmTKNHj2bbtm3ODiNdr732GpUqVcr0Lvy0SpaDpZ/S29ubmjVrpviZ7tu3L6dOnXJY3BnK6rhaZz0KVXFX3X8pCyOLnS8xMVG//PJLLV++vALauXNnZ4dkl1Rjsr0+SPlIzyeHUrYb85NjA7VTYmKiJiQkOG3/jipNrqr68ccf6/Dhw1XVcu9N6dKl9fz586p65+bDsLAwVbWUpK9UqZKGhoaqqqWK7IABAzQmJkZVLTf2ffHFF9ka3/2WFQ8PD9emTZve03scebzT8ttvv+mFCxcyLPueXsny+Ph4rV69uv75558aGxurAQEBeuTIEVVV3bp1q/7zn/+0K4bsvo/C5c4ooj3iILCss8O4Z2fOnKFbt2707t2b0NBQmjVrxrRp05wdVq537tw5fHx8GDRoELVr1+bpp59m06ZNtGjRglq1arFr1y7A8k16xIgRAFy6dInHH3+cwMBAAgMD2bFjB+fOncPb25sBAwbg5+fH33//zbhx4/Dz88Pf358vvkh7gMSuXbto3rw59evX55FHHuHEiRMANGvWjCNHjtjatWnThj179nDz5k2ee+45mjRpQv369fn6669t8QUFBdGuXTvat29PVFQU7du3p0GDBvj7+9vagaWarbe3N//4xz/o16+fbbKgP//8ky5dutCwYUNatmzJ8ePHMzx2pUuXpmbNmoSGhgIwbdo0ZsyYgZeXFwANGjRg4MCBzJs3j+joaJYsWcIHH3yAh4cHYClh0rt371Tb3b17N4888giBgYE0adKEyMjIFMcfoHv37mzduhWwTKj08ssvExgYyDvvvMOTTz5pa7d161ZbIcIffviB5s2b06BBA5588slUVXEBvvrqqxT1qKZMmULjxo3x8/Nj6NChSTfx0qZNG0aPHk2jRo2YPXs2e/fupXXr1jRs2JDOnTvbjsmSJUto3LgxgYGB9OzZk+jo6FT7vFfNmjWjfPnyGbb5+uuv6du3Lx4eHlSrVo2aNWuya9cudu3aRc2aNalevToFChSgb9++tp+Nli1bsmnTJudMkJTVDOOsh6vdmR0bG6tvvfWWenp6KqAlSpTQhQsXOvUb7b1y5hlF0hwbBw8e1ISEBG3QoIE+++yzmpiYqGvXrtUePXqoaspv0r1799b3339fVS3fYK9fv65nz55VEbGVh1i9erV26NBB4+Pj9eLFi1qpUiW9cOFCqv1HRETYvpH++OOP+sQTT6iq6qxZs2xzJFy4cEFr166tqqqvvPKK/ve//1VV1WvXrmmtWrU0KipKP/74Y61QoYJeuXJFVS3fcpPKYISFhWmNGjU0MTFRd+3apYGBgXrr1i29ceOG1qxZ0zYHRLt27fTkyZOqqrpz505t27ZtqniTH4e//vrLti1V1ZIlS+r169dTtF+7dq0+/vjjeuDAAa1Xr16m/x+xsbFarVo13bVrV4rjk3y/qqrdunWzlewAbGcmcXFxWqlSJY2KilJVy5wT//3vfzUsLExbtmxpW//uu+/qf/7zn1T7HzBggK5bt862nHQ8VVWfeeYZ22utW7e2zVty+/Ztbd68uV6+fFlVLSVDnn32WVW1nKEkee2113TOnDmp9rl582YNDAxM9WjevHmGxyqjM4rhw4fbfk5UVZ977jldtWqVrlq1SgcPHmxbv3z58hTHtUOHDrpnz54M96vqWndmG1jKK0+ZMoXY2Fiefvpp3nvvPcqVK+fssFxKtWrV8Pf3B6Bu3bq0b98eEcHf3z/FNJVJ0irDfe3aNapUqWKbT+DXX3+lX79+uLm5Ua5cOVq3bs3u3bsJCgpKsa2IiAgGDhzIqVOnEBHi4uIAy41lnTp14j//+Q9ffvklvXr1AizfitetW2c7C4iJieH8+fOApfhgqVKlgPRLgW/fvp0ePXrg6emJp6cn//d//wdAVFQUO3bsSPFtPDY2Ns3j9cUXX7Bt2zaOHz/O3Llzs7Wi6YkTJyhfvrytLLg9N9clLyueP39+unTpwjfffEOvXr349ttvmT59Oj///DNHjx6lRYsWgOVu5+bNm6faVmhoKGXKlLEtb9myhenTpxMdHc3Vq1epW7eu7ZgllXs/ceIEhw8ftpWnT0hIsH3jP3z4MK+//jrXr18nKiqKzp07p9pn27Zt0yzo6Axly5blwoULqeZhcTSTKBzg2rVrlChRAhGhRo0azJ49m5o1a9K+fXtnh5Y9wkZk3gZggJ/lcZ+SLoUA5MuXz7acL1++ezoNT14aPD3z5s1jyZIlAHz33Xe88cYbtG3bljVr1nDu3DnatGkDWEpRly5dmoMHD/LFF1/YqtKqKl999VWqCrC///57iv0nLwXu7u5O1apV0yyjnSQxMZESJUrY9QerT58+zJ07lz179tCpUyeCgoJ46KGHbGXZ27W7U31579691K1bl5o1a3L+/Pksl99IXmIcUpZlT15WHCydsnPnzqVUqVI0atSIokWLoqp07NiRzz//PMP9FCxY0LbtmJgYhg0bxp49e6hUqRKTJ09Osd+k462q1K1bl99++y3V9gYNGsTatWsJDAxk2bJltstlyW3ZsoUxY8akWl+oUCF27NiRYbzpyahkeUalzGNiYihYsGCW9nk/XK6PIjdLTExk6dKl1KxZkxUrVtjWP//883knSbiAzMpwg+V67xdffEFCQgJhYWFs27aNJk2aMHz4cFup6ocffpiIiAjbL+qyZctSbKNPnz5Mnz6diIgI24Q6nTt35oMPPrBdK//jjz/SjDG9UuAtWrTgm2++ISYmhqioKNavXw9YvrlXq1aNVatWAZY/fpmVBG/UqBH9+/e33bQ5fvx4JkyYwJUrVwBL2fNly5YxbNgwChUqxODBg3nppZe4ffs2AGFhYbb9JfH29iY0NNQ2m1tkZCTx8fFUrVqV/fv3k5iYyN9//23rO0pL69at2bdvH0uWLKFv376A5br+9u3bOX36NAA3b960jQpMrk6dOrY2SUnBy8uLqKgoVq9eneb+vL29CQsLsyWKuLg4W/9SZGQk5cuXJy4uLs2Z8uDOGcXdj6wmCSDdkuWNGzfm1KlTnD17ltu3b7Ny5coUZ7knT57Ez+/+v3zdK5dLFIVi3eFA7qsfeOTIEdq0acPgwYO5evVqrhxW+KCYPXs2W7Zswd/fn4YNG6aYZS7J448/TkBAAIGBgbRr147p06fz0EMPpWo3fvx4XnnlFerXr5/q7KVXr16sXLkyRYfvG2+8QVxcHAEBAdStW5c33ngjzRiffvpp9uzZg7+/P8uXL7fV8GrcuDFBQUEEBATw6KOP4u/vb5vB7tNPP+Wjjz4iMDCQunXrpugAT8+ECRP4+OOPiYyMJCgoiOeee45HHnkEHx8fhgwZwooVK2yXYaZOnUqZMmXw9fXFz8+P7t27pzq7KFCgAF988QUjR44kMDCQjh07EhMTQ4sWLahWrRq+vr6MGjWKBg0apBuTm5sb3bt3Z8OGDbaO7DJlyrBs2TL69etHQEAAzZs3T7Ozvlu3brZv/SVKlGDIkCH4+fnRuXNn2+WwuxUoUIDVq1czYcIEAgMDqVevnu2P/JtvvknTpk1p0aJFttVRGz9+PBUrViQ6OpqKFSsyefJkwDKE+9//tlQwqlu3Lr1798bX15cuXbowb9483NzcyJ8/P3PnzqVz587UqVOH3r17U7duXcAySKNgwYJp/pw6XFY7N5z1aJi/UsYdqDns5s2bOnHiRM2fP78CWrZsWf30009TzIng6kyZ8ZwVGRmpqpafrYYNG+revXudHFHu0qJFC7127Zqzw8hxs2bN0g8//NCutqYzOxc5efIknTt35ty5c4gIL7zwAm+//bZdcy4bRnqGDh3K0aNHiYmJYeDAgRl+O38Qvffee5w/f54SJUo4O5QcVaJECfr37++UfZtEcR+qVKmCp6cngYGBLFy40DaixjDux2effebsEHK1pk2bOjsEp3j22Wedtm+X66OILnAbAspk3tAB4uPjmTt3rq0z0MPDg40bN7Jnzx6TJAzDyLNcLlEcq3gJfuqT4/vdtWsXTZo0YeTIkUyYMMG2vkqVKuTPb07MDMPIu1wuUeS0iIgIRowYQbNmzfjjjz+oXLkyPXr0cHZYhmEYOcYkinSoKitXrsTHx8c2dG38+PEcPXrUduenYRjGg8AkinQcOHCAfv36cfHiRR555BH27dvHtGnT7Lq71zByg3PnzlGwYEHq1auHr68vAwYMsJUgAUsZkyZNmtjKji9evDjF+5cvX24rmli/fn1bWZLcZO3atUyZMsXZYaRr1apV1K1bl3z58rFnz55026VXWvzs2bM0bdqUmjVr0qdPH9vNkHPnzmXp0qUOj98mq+NqnfVwZFHAu0sgjxkzRpcsWeJSBfwc4e4x2TA5xSM9ixbtSdFuyJB16bZ1pvstfX0/HFny/OzZs1q3bl1VtXzGtm3b6ooVK1RVNTQ0VCtVqmS7RyMsLEwbNGig69evV1XV7777TuvXr68hISGqqhoTE6OLFy/O1viyo/x38+bNbWXTc2qf9+Lo0aN6/Phxbd26te7evTvNNhmVFn/yySf1888/V1XV559/XufPn6+qlntsMiri+MCXGXeULVu24Ofnl2JClFmzZvHPf/6TfPnMYXIWe8uMp1cOPCEhgX/961/4+fkREBDABx98AEDVqlWZMGECDRo0YNWqVXz++ef4+/vj5+eXYrBCcumVBp84cSLz5s2ztZs8ebLt2/eMGTNo3LgxAQEBTJo0yfaZ7i55/uKLL9KoUSPq1q1raweWelM+Pj40bNiQUaNG2e5kTq+ceXrc3Nxo0qQJISEhgKWm1aBBg2z3aHh5eTF9+nTbt9l33nmHmTNn8vDDDwOWEX5DhgxJtd30SronLzMxc+ZM293Jyct/v/XWW1SpUsVWI+rmzZtUqlSJuLg4u0qqnzx5Eg8PD1vZ9G+++YamTZtSv359OnTowKVLl2z/H/3796dFixb079+fsLAwevbsSePGjWncuDHbt28H0v8Zuh916tRJVffrbumVFldVNm/ebCs4OXDgQNauXQtY6kxVrVo1w1Ip2SqrGcZZj8olS2brBDiXLl3SAQMGKKCArWy1cYczzyjsLTOeXjnw+fPna8+ePW2vJZWlrlKlik6bNk1VVUNCQrRSpUp6+fJljYuL07Zt2+qaNWtSxZJeafB9+/Zpq1atbO3q1Kmj58+f1++//16HDBliO2vo1q2b/vzzz6lKniePKz4+Xlu3bq0HDhzQW7duacWKFfXMmTOqqtq3b1/t1q2bqqZfzvzuY5d0RnHr1i1t06aNHjhwQFVVH3/8cV27dm2K9tevX9eSJUuqatolydOSXkn3pP2qqs6YMUMnTZqkqinLf6uqBgUF6ebNm1XVUv47qcS2PSXVly5dqmPHjrUtX7161VYRYcmSJbbXJk2apA0aNNDo6GhVVe3Xr5/+8ssvqmopxe7j46Oq6f8MJXfjxo00S44HBgbazgLSktEZRXqlxZN+xpKcP38+xXGdOnWqzpw5M81tPvB3ZpeJLAL/PQqz2mXeOAOJiYl89NFHTJgwgWvXruHh4cHrr7/OuHHjsilSI7vYU2Y8vXLgmzZt4oUXXrANYU4q8w13ylDv3r2bNm3a2MpXP/3002zbto3HHnssRRyqaZcGr1+/PpcvX+bChQuEhYVRsmRJKlWqxOzZs/nhhx+oX78+YDkjOXXqFJUrV05R8hzgyy+/ZPHixcTHxxMaGsrRo0dJTEykevXqVKtWDYB+/frZ+hHSK2dep06dFDH/+eef1KtXj7Nnz9KtWzdb8cLskl5J94wkHfek51988QVt27Zl5cqVDBs2zO6S6neXHA8ODqZPnz6EhoZy+/Zt23EDSxG+pKqrmzZtSlH/68aNG0RFRaX7M5Rc0aJFc1XJ8cwmr8ouLpcossPZs2d55plnbIXBOnXqxLx586hZs6aTI3MNqpMybwQMHdqQoUPvv26+PWXG0ysHnpHMBib8/vvvPP/884BlJrWrV6+mWxr8ySefZPXq1Vy8eNH2h1BVeeWVV2zbSHLu3LkU+z579iwzZ85k9+7dlCxZkkGDBmVYcjxp22mVM79bjRo12L9/P+Hh4bRo0YJ169YRFBRkKzmefKh3UslxsCTku0uS2yujkuOQ8rgHBQXx6quvcvXqVdv+bt68aVdJ9YIFC6aoDDxy5EjGjh1LUFAQW7dutV3uunufiYmJ7Ny5M9U8HSNGjMj0ZygyMpKWLVumGc9nn32Gr69vhjGnJb2S46VLl+b69evEx8eTP39+p5YcfyAvvhcrVoyTJ0/y0EMPsXLlSjZu3GiShItLrxx4x44dWbRokS2hXL16NdV7mzRpws8//0x4eDgJCQl8/vnntG7dmqZNm9pKSgcFBaVbGhws34xXrlzJ6tWrbd+EO3fuzNKlS21TeoaEhHD5curKxzdu3KBw4cIUL16cS5cu2SoPe3t7c+bMGdtZU/LpWu0tZ57Ey8uLd999l3feeQeA4cOHs2zZMtsf4ytXrjBhwgTGjx8PwCuvvMK4ceO4ePEiYJlI6MMPP0y13bRKupcrV47Lly9z5coVYmNjbaXS01KkSBEaN27MSy+9RPfu3XFzc7O7pHrykuOQ8mfgk08+SXefnTp1svVVAbZjkFFJ+SRJZxRpPbKSJIB0S4uLCG3btrWVT//kk09SJPacLDnuconiL6+r8F6be37f999/bzt9LV26NOvWreP48eP06dMHEcnmKI2cll458H/+859UrlzZVlI8rTpK5cuX591336Vt27YEBgbSsGHDNG+qTK80OFi+gUdGRlKhQgVb2e5OnTrx1FNP0bx5c/z9/enVqxeRkZGpthsYGEj9+vXx8fHhqaeess3yVrBgQebPn2/r1C1atKit5Li95cyTe+yxx4iOjuaXX36hfPnyrFixgiFDhuDj48MjjzzCc889Z7tHqGvXrowYMYIOHTpQt25dGjRowI0bN1JtM62S7u7u7vz73/+mSZMmdOzYMdPy3X369GHFihUpLknZU1K9VatW/PHHH7ZkOXnyZJ588kkaNmxo6+BOy5w5c9izZw8BAQH4+vraJp3KqKR8Vq1Zs4aKFSvy22+/0a1bN9sMehcuXKBr164AGZYWnzZtGrNmzaJmzZpcuXKFwYMH27a9fft226x9DpfVzg1nPe51eOz58+f1scceU0DffPPNe3qvYWHKjDtPUsnxxMREffHFF3XWrFlOjih3GTVqlP7444/ODiPH7du3T5955pl0XzfDY+0UHx/PrFmzqFOnDmvXrqVIkSIpOjINwxUsWbKEevXqUbduXSIiIlL1dzzoXn31VaKjo50dRo4LDw/nzTffzLH9iVpP21yFeIvqiYxj3rlzJy+88ILtumbPnj2ZPXt2io4gw37Hjh1LNZrGMIzcK63fWRHZq6qNsrK9PDfq6ffff+eRRx5BValatSpz586lW7duzg7L5amq6csxDBfgiC//eS5RNGnShM6dO1O/fn1ef/11ChUq5OyQXJ6npydXrlyhdOnSJlkYRi6mqly5ciXV0N/75fKXnk6dOsWYMWOYNWsWtWvXBizjpE3ZjewTFxdHcHBwpmP7DcNwPk9PTypWrIi7u3uK9Q/UpaeGZypBmbnEBg+xjQuPjY3F09PTNt7YJIns5e7unuIuV8MwHiwO/YsqIl1E5ISInBaRiWm87iEiX1hf/11Eqtqz3Z9unyAgIIDJkycTGxvLs88+axsLbRiGYWQvh116EhE34CTQEQgGdgP9VPVosjbDgABVfUFE+gKPq2qG85yWzldYr6plOFydOnVYuHAhrVq1cshnMAzDyCvu59KTI88omgCnVfWMqt4GVgJ33+7aA0i613410F4y6S29ptF44s7bb7/N/v37TZIwDMNwMEeeUfQCuqjqP63L/YGmqjoiWZvD1jbB1uU/rW3C79rWUGCoddEPOOyQoF2PFxCeaasHgzkWd5hjcYc5Fnd4q2rRrLzRJTqzVXUxsBhARPZk9fQprzHH4g5zLO4wx+IOcyzuEJH052LNhCMvPYUAlZItV7SuS7ONiOQHigNXHBiTYRiGcY8cmSh2A7VEpJqIFAD6AuvuarMOGGh93gvYrK52Y4dhGEYe57BLT6oaLyIjgO8BN2Cpqh4RkSlYqhiuAz4C/isip4GrWJJJZhY7KmYXZI7FHeZY3GGOxR3mWNyR5WPhcndmG4ZhGDnL3MJsGIZhZMgkCsMwDCNDuTZROKr8hyuy41iMFZGjInJQRH4SkSrOiDMnZHYskrXrKSIqInl2aKQ9x0JEelt/No6ISOp5YPMIO35HKovIFhH5w/p70tUZcTqaiCwVkcvWe9TSel1EZI71OB0UkQZ2bTirU+M58oGl8/tPoDpQADgA+N7VZhiw0Pq8L/CFs+N24rFoCxSyPn/xQT4W1nZFgW3ATqCRs+N24s9FLeAPoKR1uayz43bisVgMvGh97gucc3bcDjoWrYAGwOF0Xu8KbAAEaAb8bs92c+sZhUPKf7ioTI+Fqm5R1aT5IHdiuWclL7Ln5wLgTWAakJfrottzLIYA81T1GoCqXs7hGHOKPcdCgWLW58WBCzkYX45R1W1YRpCmpwewXC12AiVEpHxm282tiaIC8Hey5WDrujTbqGo8EAGUzpHocpY9xyK5wVi+MeRFmR4L66l0JVX9NicDcwJ7fi5qA7VFZLuI7BSRLjkWXc6y51hMBp4RkWDgO2BkzoSW69zr3xPARUp4GPYRkWeARkBrZ8fiDCKSD5gFDHJyKLlFfiyXn9pgOcvcJiL+qnrdmUE5ST9gmaq+JyLNsdy/5aeqic4OzBXk1jMKU/7jDnuOBSLSAXgNCFLV2ByKLadldiyKYikauVVEzmG5Brsuj3Zo2/NzEQysU9U4VT2Lpex/rRyKLyfZcywGA18CqOpvgCeWgoEPGrv+ntwttyYKU/7jjkyPhYjUBxZhSRJ59To0ZHIsVDVCVb1UtaqqVsXSXxOkqlkuhpaL2fM7shbL2QQi4oXlUtSZHIwxp9hzLM4D7QFEpA6WRBGWo1HmDuuAAdbRT82ACFUNzexNufLSkzqu/IfLsfNYzACKAKus/fnnVTXIaUE7iJ3H4oFg57H4HugkIkeBBGCcqua5s247j8XLwBIRGYOlY3tQXvxiKSKfY/ly4GXtj5kEuAOo6kIs/TNdgdNANPCsXdvNg8fKMAzDyEa59dKTYRiGkUuYRGEYhmFkyCQKwzAMI0MmURiGYRgZMonCMAzDyJBJFEauJCIJIrI/2aNqBm2jsmF/y0TkrHVf+6x3797rNj4UEV/r81fvem3H/cZo3U7ScTksIt+ISIlM2tfLq5VSjZxjhscauZKIRKlqkexum8E2lgHrVXW1iHQCZqpqwH1s775jymy7IvIJcFJV38qg/SAsFXRHZHcsxoPDnFEYLkFEiljn2tgnIodEJFXVWBEpLyLbkn3jbmld30lEfrO+d5WIZPYHfBtQ0/resdZtHRaR0dZ1hUXkWxE5YF3fx7p+q4g0EpF3gYLWOD61vhZl/XeliHRLFvMyEeklIm4iMkNEdlvnCXjejsPyG9aCbiLSxPoZ/xCRHSLibb1LeQrQxxpLH2vsS0Vkl7VtWtV3DSMlZ9dPNw/zSOuB5U7i/dbHGixVBIpZX/PCcmdp0hlxlPXfl4HXrM/dsNR+8sLyh7+wdf0E4N9p7G8Z0Mv6/Engd6AhcAgojOXO9yNAfaAnsCTZe4tb/92Kdf6LpJiStUmK8XHgE+vzAlgqeRYEhgKvW9d7AHuAamnEGZXs860CuliXiwH5rc87AF9Znw8C5iZ7/9vAM9bnJbDUfyrs7P9v88jdj1xZwsMwgFuqWi9pQUTcgbdFpBWQiOWbdDngYrL37AaWWtuuVdX9ItIay0Q1263lTQpg+Saelhki8jqWGkCDsdQGWqOqN60x/A9oCWwE3hORaVguV/1yD59rAzBbRDyALsA2Vb1lvdwVICK9rO2KYyngd/au9xcUkf3Wz38M+DFZ+09EpBaWEhXu6ey/ExAkIv+yLnsCla3bMow0mURhuIqngTJAQ1WNE0t1WM/kDVR1mzWRdAOWicgs4Brwo6r2s2Mf41R1ddKCiLRPq5GqnhTLvBddgaki8pOqTrHnQ6hqjIhsBToDfbBMsgOWGcdGqur3mWzilqrWE5FCWGobDQfmYJmsaYuqPm7t+N+azvsF6KmqJ+yJ1zDA9FEYrqM4cNmaJNoCqeYFF8tc4ZdUdQnwIZYpIXcCLUQkqc+hsIjUtnOfvwCPiUghESmM5bLRLyLyMBCtqiuwFGRMa97hOOuZTVq+wFKMLensBCx/9F9Meo+I1LbuM01qmdFwFPCy3Cmzn1QuelCyppFYLsEl+R4YKdbTK7FUHjaMDJlEYbiKT4FGInIIGAAcT6NNG+CAiPyB5dv6bFUNw/KH83MROYjlspOPPTtU1X1Y+i52Yemz+FBV/wD8gV3WS0CTgKlpvH0xcDCpM/suP2CZXGqTWqbuBEtiOwrsE5HDWMrGZ3jGb43lIJZJeaYD71g/e/L3bQF8kzqzsZx5uFtjO2JdNowMmeGxhmEYRobMGYVhGIaRIZMoDMMwjAyZRGEYhmFkyCQKwzAMI0MmURiGYRgZMonCMAzDyJBJFIZhGEaG/j+2EGpuyRKopQAAAABJRU5ErkJggg==\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", @@ -2540,9 +3030,7 @@ { "cell_type": "markdown", "id": "99535b1e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "Recall that the cumulative gains curve shows the percentage of the\n", "overall number of cases in a given category *gained* by targeting a\n", @@ -2556,9 +3044,7 @@ { "cell_type": "markdown", "id": "a292f01b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Compare Bagging on Trees with Random Forests" ] @@ -2567,10 +3053,7 @@ "cell_type": "code", "execution_count": 25, "id": "5034bcb9", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "bag_clf = BaggingClassifier(\n", @@ -2582,11 +3065,19 @@ "cell_type": "code", "execution_count": 26, "id": "a769af4a", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9790209790209791" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bag_clf.fit(X_train, y_train)\n", "y_pred = bag_clf.predict(X_test)\n", @@ -2600,9 +3091,7 @@ { "cell_type": "markdown", "id": "3c030af7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Boosting, a Bird's Eye View\n", "\n", @@ -2620,9 +3109,7 @@ { "cell_type": "markdown", "id": "55e9976c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## What is boosting? Additive Modelling/Iterative Fitting\n", "\n", @@ -2634,9 +3121,7 @@ { "cell_type": "markdown", "id": "9a2fabef", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f_M(x) = \\sum_{i=1}^M \\beta_m b(x;\\gamma_m),\n", @@ -2646,9 +3131,7 @@ { "cell_type": "markdown", "id": "65ff6b25", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $\\beta_m$ are the expansion parameters to be determined in a\n", "minimization process and $b(x;\\gamma_m)$ are some simple functions of\n", @@ -2663,9 +3146,7 @@ { "cell_type": "markdown", "id": "dfae1c72", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\sigma(t) = \\frac{1}{1+\\exp{(-t)}},\n", @@ -2675,9 +3156,7 @@ { "cell_type": "markdown", "id": "b3342512", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where $t=\\gamma_0+\\gamma_1 x$ and the parameters $\\gamma_0$ and\n", "$\\gamma_1$ were determined by the Logistic Regression fitting\n", @@ -2689,9 +3168,7 @@ { "cell_type": "markdown", "id": "cd367e89", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\boldsymbol{y},\\boldsymbol{f}) = \\frac{1}{n} \\sum_{i=0}^{n-1}(y_i-f(x_i))^2.\n", @@ -2701,9 +3178,7 @@ { "cell_type": "markdown", "id": "745c1fcb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In this case the function $f(x)$ was replaced by the design matrix\n", "$\\boldsymbol{X}$ and the unknown linear regression parameters $\\boldsymbol{\\beta}$,\n", @@ -2714,9 +3189,7 @@ { "cell_type": "markdown", "id": "aafff5cf", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\boldsymbol{\\beta}=\\left(\\boldsymbol{X}^T\\boldsymbol{X}\\right)^{-1}\\boldsymbol{X}^T\\boldsymbol{y}.\n", @@ -2726,9 +3199,7 @@ { "cell_type": "markdown", "id": "22b196c9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In iterative fitting or additive modeling, we minimize the cost function with respect to the parameters $\\beta_m$ and $\\gamma_m$." ] @@ -2736,9 +3207,7 @@ { "cell_type": "markdown", "id": "60f1171e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Iterative Fitting, Regression and Squared-error Cost Function\n", "\n", @@ -2764,9 +3233,7 @@ { "cell_type": "markdown", "id": "0c1e08ac", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Squared-Error Example and Iterative Fitting\n", "\n", @@ -2780,9 +3247,7 @@ { "cell_type": "markdown", "id": "0f85d381", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(\\beta_m,\\gamma_m) = \\mathrm{argmin}_{\\beta,\\lambda}\\hspace{0.1cm} \\sum_{i=0}^{n-1}(y_i-f_{m-1}(x_i)-\\beta b(x;\\gamma))^2=\\sum_{i=0}^{n-1}(y_i-f_{m-1}(x_i)-\\beta(1+\\gamma x_i))^2.\n", @@ -2792,9 +3257,7 @@ { "cell_type": "markdown", "id": "c8f65c3f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We start our iteration by simply setting $f_0(x)=0$. \n", "Taking the derivatives with respect to $\\beta$ and $\\gamma$ we obtain" @@ -2803,9 +3266,7 @@ { "cell_type": "markdown", "id": "65c79e54", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{\\partial {\\cal C}}{\\partial \\beta} = -2\\sum_{i}(1+\\gamma x_i)(y_i-\\beta(1+\\gamma x_i))=0,\n", @@ -2815,9 +3276,7 @@ { "cell_type": "markdown", "id": "78ef6033", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and" ] @@ -2825,9 +3284,7 @@ { "cell_type": "markdown", "id": "99f4b85c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\frac{\\partial {\\cal C}}{\\partial \\gamma} =-2\\sum_{i}\\beta x_i(y_i-\\beta(1+\\gamma x_i))=0.\n", @@ -2837,9 +3294,7 @@ { "cell_type": "markdown", "id": "723d71e5", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We can then rewrite these equations as (defining $\\boldsymbol{w}=\\boldsymbol{e}+\\gamma \\boldsymbol{x})$ with $\\boldsymbol{e}$ being the unit vector)" ] @@ -2847,9 +3302,7 @@ { "cell_type": "markdown", "id": "33dc4376", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\gamma \\boldsymbol{w}^T(\\boldsymbol{y}-\\beta\\gamma \\boldsymbol{w})=0,\n", @@ -2859,9 +3312,7 @@ { "cell_type": "markdown", "id": "b8d97e17", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which gives us $\\beta = \\boldsymbol{w}^T\\boldsymbol{y}/(\\boldsymbol{w}^T\\boldsymbol{w})$. Similarly we have" ] @@ -2869,9 +3320,7 @@ { "cell_type": "markdown", "id": "c15855ff", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\beta\\gamma \\boldsymbol{x}^T(\\boldsymbol{y}-\\beta(1+\\gamma \\boldsymbol{x}))=0,\n", @@ -2881,9 +3330,7 @@ { "cell_type": "markdown", "id": "658fb208", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which leads to $\\gamma =(\\boldsymbol{x}^T\\boldsymbol{y}-\\beta\\boldsymbol{x}^T\\boldsymbol{e})/(\\beta\\boldsymbol{x}^T\\boldsymbol{x})$. Inserting\n", "for $\\beta$ gives us an equation for $\\gamma$. This is a non-linear equation in the unknown $\\gamma$ and has to be solved numerically. \n", @@ -2895,9 +3342,7 @@ { "cell_type": "markdown", "id": "4ee2e3d9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Iterative Fitting, Classification and AdaBoost\n", "\n", @@ -2911,9 +3356,7 @@ { "cell_type": "markdown", "id": "3b37469a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathrm{\\overline{err}}=\\frac{1}{n} \\sum_{i=0}^{n-1} I(y_i\\ne G(x_i)).\n", @@ -2923,9 +3366,7 @@ { "cell_type": "markdown", "id": "292d5abe", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The iterative procedure starts with defining a weak classifier whose\n", "error rate is barely better than random guessing. The iterative\n", @@ -2939,9 +3380,7 @@ { "cell_type": "markdown", "id": "de0ac2d3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f_M(x) = \\sum_{i=1}^M \\beta_m b(x;\\gamma_m),\n", @@ -2951,9 +3390,7 @@ { "cell_type": "markdown", "id": "6be19939", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "will be a function of" ] @@ -2961,9 +3398,7 @@ { "cell_type": "markdown", "id": "e7147edc", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "G_M(x) = \\mathrm{sign} \\sum_{i=1}^M \\alpha_m G_m(x).\n", @@ -2973,9 +3408,7 @@ { "cell_type": "markdown", "id": "bf09b326", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Adaptive Boosting, AdaBoost\n", "\n", @@ -2985,9 +3418,7 @@ { "cell_type": "markdown", "id": "46eccbc1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f_m(x) = f_{m-1}(x)+\\beta_mG_m(x).\n", @@ -2997,9 +3428,7 @@ { "cell_type": "markdown", "id": "c70d6966", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The simplest possible cost function which leads (also simple from a computational point of view) to the AdaBoost algorithm is the\n", "exponential cost/loss function defined as" @@ -3008,9 +3437,7 @@ { "cell_type": "markdown", "id": "30ab845e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\boldsymbol{y},\\boldsymbol{f}) = \\sum_{i=0}^{n-1}\\exp{(-y_i(f_{m-1}(x_i)+\\beta G(x_i))}.\n", @@ -3020,9 +3447,7 @@ { "cell_type": "markdown", "id": "927dd173", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We optimize $\\beta$ and $G$ for each value of $m=1:M$ as we did in the regression case.\n", "This is normally done in two steps. Let us however first rewrite the cost function as" @@ -3031,9 +3456,7 @@ { "cell_type": "markdown", "id": "c1e128f3", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\boldsymbol{y},\\boldsymbol{f}) = \\sum_{i=0}^{n-1}w_i^{m}\\exp{(-y_i\\beta G(x_i))},\n", @@ -3043,9 +3466,7 @@ { "cell_type": "markdown", "id": "59e84586", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where we have defined $w_i^m= \\exp{(-y_if_{m-1}(x_i))}$." ] @@ -3053,9 +3474,7 @@ { "cell_type": "markdown", "id": "bb580b8b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Building up AdaBoost\n", "\n", @@ -3065,9 +3484,7 @@ { "cell_type": "markdown", "id": "0f9f5d71", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "G_m(x) = \\mathrm{sign} \\sum_{i=0}^{n-1} w_i^m I(y_i \\ne G_(x_i)),\n", @@ -3077,9 +3494,7 @@ { "cell_type": "markdown", "id": "26a30c27", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which is the classifier that minimizes the weighted error rate in predicting $y$.\n", "\n", @@ -3089,9 +3504,7 @@ { "cell_type": "markdown", "id": "22ea77d1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\exp{-(\\beta)}\\sum_{y_i=G(x_i)}w_i^m+\\exp{(\\beta)}\\sum_{y_i\\ne G(x_i)}w_i^m,\n", @@ -3101,9 +3514,7 @@ { "cell_type": "markdown", "id": "b2761356", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which can be rewritten as" ] @@ -3111,9 +3522,7 @@ { "cell_type": "markdown", "id": "cf1a3ef1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(\\exp{(\\beta)}-\\exp{-(\\beta)})\\sum_{i=0}^{n-1}w_i^mI(y_i\\ne G(x_i))+\\exp{(-\\beta)}\\sum_{i=0}^{n-1}w_i^m=0,\n", @@ -3123,9 +3532,7 @@ { "cell_type": "markdown", "id": "33a2c48a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which leads to" ] @@ -3133,9 +3540,7 @@ { "cell_type": "markdown", "id": "6ad2f701", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\beta_m = \\frac{1}{2}\\log{\\frac{1-\\mathrm{\\overline{err}}}{\\mathrm{\\overline{err}}}},\n", @@ -3145,9 +3550,7 @@ { "cell_type": "markdown", "id": "e5da484b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where we have redefined the error as" ] @@ -3155,9 +3558,7 @@ { "cell_type": "markdown", "id": "1b67dadb", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathrm{\\overline{err}}_m=\\frac{1}{n}\\frac{\\sum_{i=0}^{n-1}w_i^mI(y_i\\ne G(x_i)}{\\sum_{i=0}^{n-1}w_i^m},\n", @@ -3167,9 +3568,7 @@ { "cell_type": "markdown", "id": "9237831f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "which leads to an update of" ] @@ -3177,9 +3576,7 @@ { "cell_type": "markdown", "id": "d0eaf5b1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f_m(x) = f_{m-1}(x) +\\beta_m G_m(x).\n", @@ -3189,9 +3586,7 @@ { "cell_type": "markdown", "id": "f03b39f9", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "This leads to the new weights" ] @@ -3199,9 +3594,7 @@ { "cell_type": "markdown", "id": "8bfe100c", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "w_i^{m+1} = w_i^m \\exp{(-y_i\\beta_m G_m(x_i))}\n", @@ -3211,9 +3604,7 @@ { "cell_type": "markdown", "id": "b7cc0291", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Adaptive boosting: AdaBoost, Basic Algorithm\n", "\n", @@ -3231,9 +3622,7 @@ { "cell_type": "markdown", "id": "da16067e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathrm{err}=\\frac{1}{n}\\sum_{i=0}^{n-1}I(y_i\\ne G(x_i)),\n", @@ -3243,9 +3632,7 @@ { "cell_type": "markdown", "id": "7c00efaa", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "where the function $I()$ is one if we misclassify and zero if we classify correctly." ] @@ -3253,9 +3640,7 @@ { "cell_type": "markdown", "id": "112d164f", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Basic Steps of AdaBoost\n", "\n", @@ -3269,9 +3654,7 @@ { "cell_type": "markdown", "id": "bc9ecdac", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "\\mathrm{\\overline{err}}_m=\\frac{\\sum_{i=0}^{n-1}w_i^m I(y_i\\ne G(x_i))}{\\sum_{i=0}^{n-1}w_i},\n", @@ -3281,9 +3664,7 @@ { "cell_type": "markdown", "id": "d60fa5d7", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "1. Then we start looping over all attempts at classifying, namely we start an iterative process for $m=1:M$, where $M$ is the final number of classifications. Our given classifier could for example be a plain decision tree.\n", "\n", @@ -3309,9 +3690,7 @@ { "cell_type": "markdown", "id": "1349860e", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## AdaBoost Examples\n", "\n", @@ -3322,11 +3701,45 @@ "cell_type": "code", "execution_count": 27, "id": "6f6a1cbb", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "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": [ "from sklearn.ensemble import AdaBoostClassifier\n", "\n", @@ -3354,9 +3767,7 @@ { "cell_type": "markdown", "id": "749b92e2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient boosting: Basics with Steepest Descent/Functional Gradient Descent\n", "\n", @@ -3372,9 +3783,7 @@ { "cell_type": "markdown", "id": "12fb2b69", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## The Squared-Error again! Steepest Descent\n", "\n", @@ -3385,9 +3794,7 @@ { "cell_type": "markdown", "id": "a2a6c447", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(\\hat{\\boldsymbol{f}}) = \\mathrm{argmin}_{\\boldsymbol{f}}\\hspace{0.1cm} \\sum_{i=0}^{n-1}(y_i-f(x_i))^2.\n", @@ -3397,9 +3804,7 @@ { "cell_type": "markdown", "id": "69628348", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We define a real function $h_m(x)$ that defines our final function $f_M(x)$ as" ] @@ -3407,9 +3812,7 @@ { "cell_type": "markdown", "id": "db02a6bd", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f_M(x) = \\sum_{m=0}^M h_m(x).\n", @@ -3419,9 +3822,7 @@ { "cell_type": "markdown", "id": "a989d0fd", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "In the steepest decent approach we approximate $h_m(x) = -\\rho_m g_m(x)$, where $\\rho_m$ is a scalar and $g_m(x)$ the gradient defined as" ] @@ -3429,9 +3830,7 @@ { "cell_type": "markdown", "id": "98a0f48b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g_m(x_i) = \\left[ \\frac{\\partial {\\cal L}(y_i, f(x_i))}{\\partial f(x_i)}\\right]_{f(x_i)=f_{m-1}(x_i)}.\n", @@ -3441,9 +3840,7 @@ { "cell_type": "markdown", "id": "649d3251", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "With the new gradient we can update $f_m(x) = f_{m-1}(x) -\\rho_m g_m(x)$. Using the above squared-error function we see that\n", "the gradient is $g_m(x_i) = -2(y_i-f(x_i))$.\n", @@ -3454,9 +3851,7 @@ { "cell_type": "markdown", "id": "cff6642a", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "(\\rho_1) = \\mathrm{argmin}_{\\rho}\\hspace{0.1cm} \\sum_{i=0}^{n-1}(y_i+2\\rho y_i)^2.\n", @@ -3466,9 +3861,7 @@ { "cell_type": "markdown", "id": "a430e041", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Steepest Descent Example\n", "\n", @@ -3478,9 +3871,7 @@ { "cell_type": "markdown", "id": "157c2845", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "f_1(x) = f_{0}(x) -\\rho_1 g_1(x)=-y_i.\n", @@ -3490,9 +3881,7 @@ { "cell_type": "markdown", "id": "3696f5a1", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "We can then proceed and compute" ] @@ -3500,9 +3889,7 @@ { "cell_type": "markdown", "id": "9a1e5951", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "g_2(x_i) = \\left[ \\frac{\\partial {\\cal L}(y_i, f(x_i))}{\\partial f(x_i)}\\right]_{f(x_i)=f_{1}(x_i)=y_i}=-4y_i,\n", @@ -3512,9 +3899,7 @@ { "cell_type": "markdown", "id": "1a3aff46", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "and find a new value for $\\rho_2=-1/2$ and continue till we have reached $m=M$. We can modify the steepest descent method, or steepest boosting, by introducing what is called **gradient boosting**." ] @@ -3522,9 +3907,7 @@ { "cell_type": "markdown", "id": "d4745880", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient Boosting, algorithm\n", "\n", @@ -3538,9 +3921,7 @@ { "cell_type": "markdown", "id": "80c274d4", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "$$\n", "C(\\boldsymbol{y},\\boldsymbol{f})=\\sum_{i=0}^{n-1}(y_i-f(x_i))^2.\n", @@ -3550,9 +3931,7 @@ { "cell_type": "markdown", "id": "026a7001", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "The way we proceed in an iterative fashion is to\n", "1. Initialize our estimate $f_0(x)$.\n", @@ -3571,9 +3950,7 @@ { "cell_type": "markdown", "id": "01b00879", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient Boosting, Examples of Regression" ] @@ -3582,11 +3959,68 @@ "cell_type": "code", "execution_count": 28, "id": "14cf90ef", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max depth: 1\n", + "Error: 0.4649152123534192\n", + "Bias^2: 0.22096630093477287\n", + "Var: 0.24394891141864633\n", + "0.4649152123534192 >= 0.22096630093477287 + 0.24394891141864633 = 0.4649152123534192\n", + "Max depth: 2\n", + "Error: 0.479478017184938\n", + "Bias^2: 0.22173886899445688\n", + "Var: 0.25773914819048116\n", + "0.479478017184938 >= 0.22173886899445688 + 0.25773914819048116 = 0.47947801718493804\n", + "Max depth: 3\n", + "Error: 0.4794783817508626\n", + "Bias^2: 0.22173891504117815\n", + "Var: 0.2577394667096845\n", + "0.4794783817508626 >= 0.22173891504117815 + 0.2577394667096845 = 0.47947838175086266\n", + "Max depth: 4\n", + "Error: 0.4794783817508626\n", + "Bias^2: 0.2217389150411781\n", + "Var: 0.25773946670968456\n", + "0.4794783817508626 >= 0.2217389150411781 + 0.25773946670968456 = 0.47947838175086266\n", + "Max depth: 5\n", + "Error: 0.4794783817508626\n", + "Bias^2: 0.22173891504117815\n", + "Var: 0.25773946670968456\n", + "0.4794783817508626 >= 0.22173891504117815 + 0.25773946670968456 = 0.4794783817508627\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/lib/python3.9/site-packages/sklearn/ensemble/_gb.py:494: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n", + " y = column_or_1d(y, warn=True)\n", + "/opt/homebrew/lib/python3.9/site-packages/sklearn/ensemble/_gb.py:494: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n", + " y = column_or_1d(y, warn=True)\n", + "/opt/homebrew/lib/python3.9/site-packages/sklearn/ensemble/_gb.py:494: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n", + " y = column_or_1d(y, warn=True)\n", + "/opt/homebrew/lib/python3.9/site-packages/sklearn/ensemble/_gb.py:494: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n", + " y = column_or_1d(y, warn=True)\n", + "/opt/homebrew/lib/python3.9/site-packages/sklearn/ensemble/_gb.py:494: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n", + " y = column_or_1d(y, warn=True)\n" + ] + }, + { + "data": { + "image/png": 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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", @@ -3634,9 +4068,7 @@ { "cell_type": "markdown", "id": "2a174b00", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Gradient Boosting, Classification Example" ] @@ -3645,11 +4077,56 @@ "cell_type": "code", "execution_count": 29, "id": "a05a439c", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "[0.93333333 0.93333333 0.86666667 0.92857143 1. 0.92857143\n", + " 1. 0.92857143 0.85714286 0.85714286]\n", + "Test set accuracy with Random Forests and scaled data: 0.99\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", @@ -3696,9 +4173,7 @@ { "cell_type": "markdown", "id": "e3be4591", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## XGBoost: Extreme Gradient Boosting\n", "\n", @@ -3719,9 +4194,7 @@ { "cell_type": "markdown", "id": "13086bb2", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Regression Case" ] @@ -3730,11 +4203,20 @@ "cell_type": "code", "execution_count": 30, "id": "f9486ca9", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'xgboost'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_7022/2986185820.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel_selection\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtrain_test_split\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mxgboost\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mxgb\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mscikitplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mskplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmetrics\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmean_squared_error\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'xgboost'" + ] + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -3782,9 +4264,7 @@ { "cell_type": "markdown", "id": "c062f54b", - "metadata": { - "editable": true - }, + "metadata": {}, "source": [ "## Xgboost on the Cancer Data\n", "\n", @@ -3795,10 +4275,7 @@ "cell_type": "code", "execution_count": 31, "id": "7677a94f", - "metadata": { - "collapsed": false, - "editable": true - }, + "metadata": {}, "outputs": [], "source": [ "\n", @@ -3856,7 +4333,25 @@ ] } ], - "metadata": {}, + "metadata": { + "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": "3.9.7" + } + }, "nbformat": 4, "nbformat_minor": 5 }