0503_Regularization_Hiperparameters.ipynb

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        "<a href=\"https://colab.research.google.com/github/lmcanavals/machine_learning/blob/main/0503_Regularization_Hiperparameters.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "cell_type": "markdown",
      "source": [
        "# Decision Trees"
      ],
      "metadata": {
        "id": "Yg8BIba9MShk"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### Imports and setup"
      ],
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        "id": "IqyXAiQWMXZ4"
      }
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      "execution_count": 19,
      "metadata": {
        "id": "OtTA9eugLbm9"
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      "source": [
        "from sklearn.datasets import make_moons\n",
        "from sklearn.tree import DecisionTreeClassifier\n",
        "from sklearn.tree import export_graphviz\n",
        "import graphviz as gv\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.colors import ListedColormap"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### Loading Data"
      ],
      "metadata": {
        "id": "W7s6tgosMacM"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "X, y = make_moons(n_samples=250, noise=.2, random_state=42)\n",
        "print(X.shape, y.shape)"
      ],
      "metadata": {
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          "base_uri": "https://localhost:8080/"
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        "id": "tpA6FQPSMt_d",
        "outputId": "5ae5aee7-4f73-4e13-9af9-dd4b15164529"
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      "execution_count": 20,
      "outputs": [
        {
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          "text": [
            "(250, 2) (250,)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Basic decision tree"
      ],
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        "id": "mD-LHyA2NOcv"
      }
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      "source": [
        "tree_clf1 = DecisionTreeClassifier(random_state=42)\n",
        "tree_clf2 = DecisionTreeClassifier(min_samples_leaf=5, random_state=42)\n",
        "tree_clf1.fit(X, y)\n",
        "tree_clf2.fit(X, y)"
      ],
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              "DecisionTreeClassifier(min_samples_leaf=5, random_state=42)"
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        "dot = export_graphviz(tree_clf1,\n",
        "                      feature_names=['x1', 'x2'],\n",
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y=\"-616.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [12, 23]</text>\n</g>\n<!-- 7&#45;&gt;21 -->\n<g id=\"edge21\" class=\"edge\">\n<title>7&#45;&gt;21</title>\n<path fill=\"none\" stroke=\"black\" d=\"M485.13,-712.88C490.33,-704.33 495.99,-695.01 501.43,-686.07\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"504.56,-687.66 506.76,-677.3 498.57,-684.03 504.56,-687.66\"/>\n</g>\n<!-- 9 -->\n<g id=\"node10\" class=\"node\">\n<title>9</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"336,-565.5 234,-565.5 234,-512.5 336,-512.5 336,-565.5\"/>\n<text text-anchor=\"middle\" x=\"285\" y=\"-550.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"285\" y=\"-535.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 63</text>\n<text text-anchor=\"middle\" x=\"285\" y=\"-520.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 63]</text>\n</g>\n<!-- 8&#45;&gt;9 -->\n<g id=\"edge9\" class=\"edge\">\n<title>8&#45;&gt;9</title>\n<path fill=\"none\" stroke=\"black\" d=\"M364.69,-608.88C351.08,-597.12 335.78,-583.89 322.25,-572.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"324.38,-569.41 314.52,-565.52 319.8,-574.71 324.38,-569.41\"/>\n</g>\n<!-- 10 -->\n<g id=\"node11\" class=\"node\">\n<title>10</title>\n<polygon fill=\"#59ade9\" stroke=\"black\" points=\"456,-573 354,-573 354,-505 456,-505 456,-573\"/>\n<text text-anchor=\"middle\" x=\"405\" y=\"-557.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x2 &lt;= &#45;0.154</text>\n<text text-anchor=\"middle\" x=\"405\" y=\"-542.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.238</text>\n<text text-anchor=\"middle\" x=\"405\" y=\"-527.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 29</text>\n<text text-anchor=\"middle\" x=\"405\" y=\"-512.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [4, 25]</text>\n</g>\n<!-- 8&#45;&gt;10 -->\n<g id=\"edge10\" class=\"edge\">\n<title>8&#45;&gt;10</title>\n<path fill=\"none\" stroke=\"black\" d=\"M403.65,-608.88C403.81,-600.78 403.98,-591.98 404.15,-583.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"407.65,-583.37 404.35,-573.3 400.65,-583.23 407.65,-583.37\"/>\n</g>\n<!-- 11 -->\n<g id=\"node12\" class=\"node\">\n<title>11</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"336.5,-461.5 241.5,-461.5 241.5,-408.5 336.5,-408.5 336.5,-461.5\"/>\n<text text-anchor=\"middle\" x=\"289\" y=\"-446.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"289\" y=\"-431.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 1</text>\n<text text-anchor=\"middle\" x=\"289\" y=\"-416.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [1, 0]</text>\n</g>\n<!-- 10&#45;&gt;11 -->\n<g id=\"edge11\" class=\"edge\">\n<title>10&#45;&gt;11</title>\n<path fill=\"none\" stroke=\"black\" d=\"M367.34,-504.88C353.96,-493.12 338.92,-479.89 325.62,-468.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"327.84,-465.49 318.02,-461.52 323.22,-470.75 327.84,-465.49\"/>\n</g>\n<!-- 12 -->\n<g id=\"node13\" class=\"node\">\n<title>12</title>\n<polygon fill=\"#51a9e8\" stroke=\"black\" points=\"457,-469 355,-469 355,-401 457,-401 457,-469\"/>\n<text text-anchor=\"middle\" x=\"406\" y=\"-453.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= 1.254</text>\n<text text-anchor=\"middle\" x=\"406\" y=\"-438.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.191</text>\n<text text-anchor=\"middle\" x=\"406\" y=\"-423.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 28</text>\n<text text-anchor=\"middle\" x=\"406\" y=\"-408.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [3, 25]</text>\n</g>\n<!-- 10&#45;&gt;12 -->\n<g id=\"edge12\" class=\"edge\">\n<title>10&#45;&gt;12</title>\n<path fill=\"none\" stroke=\"black\" d=\"M405.32,-504.88C405.4,-496.78 405.49,-487.98 405.57,-479.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"409.08,-479.33 405.67,-469.3 402.08,-479.26 409.08,-479.33\"/>\n</g>\n<!-- 13 -->\n<g id=\"node14\" class=\"node\">\n<title>13</title>\n<polygon fill=\"#6ab6ec\" stroke=\"black\" points=\"396,-365 294,-365 294,-297 396,-297 396,-365\"/>\n<text text-anchor=\"middle\" x=\"345\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= 0.823</text>\n<text text-anchor=\"middle\" x=\"345\" y=\"-334.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.32</text>\n<text text-anchor=\"middle\" x=\"345\" y=\"-319.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 15</text>\n<text text-anchor=\"middle\" x=\"345\" y=\"-304.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [3, 12]</text>\n</g>\n<!-- 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stroke=\"black\" d=\"M425.16,-400.88C431.58,-389.78 438.76,-377.37 445.23,-366.18\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"448.26,-367.93 450.24,-357.52 442.2,-364.42 448.26,-367.93\"/>\n</g>\n<!-- 14 -->\n<g id=\"node15\" class=\"node\">\n<title>14</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"338,-253.5 236,-253.5 236,-200.5 338,-200.5 338,-253.5\"/>\n<text text-anchor=\"middle\" x=\"287\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"287\" y=\"-223.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 11</text>\n<text text-anchor=\"middle\" x=\"287\" y=\"-208.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 11]</text>\n</g>\n<!-- 13&#45;&gt;14 -->\n<g id=\"edge14\" class=\"edge\">\n<title>13&#45;&gt;14</title>\n<path fill=\"none\" stroke=\"black\" d=\"M326.17,-296.88C319.92,-285.89 312.94,-273.62 306.63,-262.52\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"309.5,-260.48 301.51,-253.52 303.41,-263.94 309.5,-260.48\"/>\n</g>\n<!-- 15 -->\n<g id=\"node16\" class=\"node\">\n<title>15</title>\n<polygon fill=\"#eeab7b\" stroke=\"black\" points=\"451.5,-261 356.5,-261 356.5,-193 451.5,-193 451.5,-261\"/>\n<text text-anchor=\"middle\" x=\"404\" y=\"-245.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x2 &lt;= &#45;0.044</text>\n<text text-anchor=\"middle\" x=\"404\" y=\"-230.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.375</text>\n<text text-anchor=\"middle\" x=\"404\" y=\"-215.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 4</text>\n<text text-anchor=\"middle\" x=\"404\" y=\"-200.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [3, 1]</text>\n</g>\n<!-- 13&#45;&gt;15 -->\n<g id=\"edge15\" class=\"edge\">\n<title>13&#45;&gt;15</title>\n<path fill=\"none\" stroke=\"black\" d=\"M364.16,-296.88C369.1,-288.33 374.49,-279.01 379.66,-270.07\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"382.76,-271.71 384.74,-261.3 376.7,-268.2 382.76,-271.71\"/>\n</g>\n<!-- 16 -->\n<g id=\"node17\" class=\"node\">\n<title>16</title>\n<polygon fill=\"#ffffff\" stroke=\"black\" points=\"374.5,-157 279.5,-157 279.5,-89 374.5,-89 374.5,-157\"/>\n<text text-anchor=\"middle\" x=\"327\" y=\"-141.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= 1.083</text>\n<text text-anchor=\"middle\" x=\"327\" y=\"-126.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.5</text>\n<text text-anchor=\"middle\" x=\"327\" y=\"-111.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 2</text>\n<text text-anchor=\"middle\" x=\"327\" y=\"-96.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [1, 1]</text>\n</g>\n<!-- 15&#45;&gt;16 -->\n<g id=\"edge16\" class=\"edge\">\n<title>15&#45;&gt;16</title>\n<path fill=\"none\" stroke=\"black\" d=\"M379,-192.88C372.41,-184.15 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fill=\"#e58139\" stroke=\"black\" points=\"431.5,-53 336.5,-53 336.5,0 431.5,0 431.5,-53\"/>\n<text text-anchor=\"middle\" x=\"384\" y=\"-37.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"384\" y=\"-22.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 1</text>\n<text text-anchor=\"middle\" x=\"384\" y=\"-7.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [1, 0]</text>\n</g>\n<!-- 16&#45;&gt;18 -->\n<g id=\"edge18\" class=\"edge\">\n<title>16&#45;&gt;18</title>\n<path fill=\"none\" stroke=\"black\" d=\"M346.94,-88.95C352.23,-80.17 357.97,-70.66 363.3,-61.82\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"366.31,-63.61 368.48,-53.24 360.31,-59.99 366.31,-63.61\"/>\n</g>\n<!-- 22 -->\n<g id=\"node23\" class=\"node\">\n<title>22</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"576,-565.5 474,-565.5 474,-512.5 576,-512.5 576,-565.5\"/>\n<text text-anchor=\"middle\" x=\"525\" y=\"-550.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"525\" y=\"-535.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 15</text>\n<text text-anchor=\"middle\" x=\"525\" y=\"-520.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 15]</text>\n</g>\n<!-- 21&#45;&gt;22 -->\n<g id=\"edge22\" class=\"edge\">\n<title>21&#45;&gt;22</title>\n<path fill=\"none\" stroke=\"black\" d=\"M526.35,-608.88C526.14,-598.22 525.91,-586.35 525.7,-575.52\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"529.2,-575.45 525.5,-565.52 522.2,-575.59 529.2,-575.45\"/>\n</g>\n<!-- 23 -->\n<g id=\"node24\" class=\"node\">\n<title>23</title>\n<polygon fill=\"#f6d5bd\" stroke=\"black\" points=\"696,-573 594,-573 594,-505 696,-505 696,-573\"/>\n<text text-anchor=\"middle\" x=\"645\" y=\"-557.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= 1.501</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-542.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.48</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-527.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 20</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-512.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [12, 8]</text>\n</g>\n<!-- 21&#45;&gt;23 -->\n<g id=\"edge23\" class=\"edge\">\n<title>21&#45;&gt;23</title>\n<path fill=\"none\" stroke=\"black\" d=\"M565.31,-608.88C576.03,-599.62 587.79,-589.45 598.9,-579.85\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"601.2,-582.49 606.48,-573.3 596.62,-577.19 601.2,-582.49\"/>\n</g>\n<!-- 24 -->\n<g id=\"node25\" class=\"node\">\n<title>24</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"579,-461.5 477,-461.5 477,-408.5 579,-408.5 579,-461.5\"/>\n<text text-anchor=\"middle\" x=\"528\" y=\"-446.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"528\" y=\"-431.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 12</text>\n<text text-anchor=\"middle\" x=\"528\" y=\"-416.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [12, 0]</text>\n</g>\n<!-- 23&#45;&gt;24 -->\n<g id=\"edge24\" class=\"edge\">\n<title>23&#45;&gt;24</title>\n<path fill=\"none\" stroke=\"black\" d=\"M607.01,-504.88C593.52,-493.12 578.35,-479.89 564.94,-468.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"567.11,-465.45 557.27,-461.52 562.51,-470.73 567.11,-465.45\"/>\n</g>\n<!-- 25 -->\n<g id=\"node26\" class=\"node\">\n<title>25</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"692.5,-461.5 597.5,-461.5 597.5,-408.5 692.5,-408.5 692.5,-461.5\"/>\n<text text-anchor=\"middle\" x=\"645\" y=\"-446.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-431.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 8</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-416.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 8]</text>\n</g>\n<!-- 23&#45;&gt;25 -->\n<g id=\"edge25\" class=\"edge\">\n<title>23&#45;&gt;25</title>\n<path fill=\"none\" stroke=\"black\" d=\"M645,-504.88C645,-494.33 645,-482.6 645,-471.85\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"648.5,-471.52 645,-461.52 641.5,-471.52 648.5,-471.52\"/>\n</g>\n<!-- 27 -->\n<g id=\"node28\" class=\"node\">\n<title>27</title>\n<polygon fill=\"#e78946\" stroke=\"black\" points=\"875,-781 773,-781 773,-713 875,-713 875,-781\"/>\n<text text-anchor=\"middle\" x=\"824\" y=\"-765.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x2 &lt;= 0.656</text>\n<text text-anchor=\"middle\" x=\"824\" y=\"-750.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.114</text>\n<text text-anchor=\"middle\" x=\"824\" y=\"-735.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 99</text>\n<text text-anchor=\"middle\" x=\"824\" y=\"-720.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [93, 6]</text>\n</g>\n<!-- 26&#45;&gt;27 -->\n<g id=\"edge27\" class=\"edge\">\n<title>26&#45;&gt;27</title>\n<path fill=\"none\" stroke=\"black\" d=\"M824,-816.88C824,-808.78 824,-799.98 824,-791.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"827.5,-791.3 824,-781.3 820.5,-791.3 827.5,-791.3\"/>\n</g>\n<!-- 44 -->\n<g id=\"node45\" class=\"node\">\n<title>44</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"988.5,-773.5 893.5,-773.5 893.5,-720.5 988.5,-720.5 988.5,-773.5\"/>\n<text text-anchor=\"middle\" x=\"941\" y=\"-758.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"941\" y=\"-743.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 7</text>\n<text text-anchor=\"middle\" x=\"941\" y=\"-728.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 7]</text>\n</g>\n<!-- 26&#45;&gt;44 -->\n<g id=\"edge44\" class=\"edge\">\n<title>26&#45;&gt;44</title>\n<path fill=\"none\" stroke=\"black\" d=\"M861.99,-816.88C875.48,-805.12 890.65,-791.89 904.06,-780.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"906.49,-782.73 911.73,-773.52 901.89,-777.45 906.49,-782.73\"/>\n</g>\n<!-- 28 -->\n<g id=\"node29\" class=\"node\">\n<title>28</title>\n<polygon fill=\"#e9975b\" stroke=\"black\" points=\"875,-677 773,-677 773,-609 875,-609 875,-677\"/>\n<text text-anchor=\"middle\" x=\"824\" y=\"-661.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x2 &lt;= 0.65</text>\n<text text-anchor=\"middle\" x=\"824\" y=\"-646.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.251</text>\n<text text-anchor=\"middle\" x=\"824\" y=\"-631.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 34</text>\n<text text-anchor=\"middle\" x=\"824\" y=\"-616.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [29, 5]</text>\n</g>\n<!-- 27&#45;&gt;28 -->\n<g id=\"edge28\" class=\"edge\">\n<title>27&#45;&gt;28</title>\n<path fill=\"none\" stroke=\"black\" d=\"M824,-712.88C824,-704.78 824,-695.98 824,-687.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"827.5,-687.3 824,-677.3 820.5,-687.3 827.5,-687.3\"/>\n</g>\n<!-- 39 -->\n<g id=\"node40\" class=\"node\">\n<title>39</title>\n<polygon fill=\"#e5833c\" stroke=\"black\" points=\"1053,-677 951,-677 951,-609 1053,-609 1053,-677\"/>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-661.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= &#45;0.275</text>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-646.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.03</text>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-631.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 65</text>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-616.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [64, 1]</text>\n</g>\n<!-- 27&#45;&gt;39 -->\n<g id=\"edge39\" class=\"edge\">\n<title>27&#45;&gt;39</title>\n<path fill=\"none\" stroke=\"black\" d=\"M875.01,-716.77C895.96,-704.77 920.36,-690.78 942.15,-678.3\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"944.05,-681.24 950.98,-673.23 940.57,-675.17 944.05,-681.24\"/>\n</g>\n<!-- 29 -->\n<g id=\"node30\" class=\"node\">\n<title>29</title>\n<polygon fill=\"#e99254\" stroke=\"black\" points=\"818,-573 716,-573 716,-505 818,-505 818,-573\"/>\n<text text-anchor=\"middle\" x=\"767\" y=\"-557.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= 0.249</text>\n<text text-anchor=\"middle\" x=\"767\" y=\"-542.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.213</text>\n<text text-anchor=\"middle\" x=\"767\" y=\"-527.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 33</text>\n<text text-anchor=\"middle\" x=\"767\" y=\"-512.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [29, 4]</text>\n</g>\n<!-- 28&#45;&gt;29 -->\n<g id=\"edge29\" class=\"edge\">\n<title>28&#45;&gt;29</title>\n<path fill=\"none\" stroke=\"black\" d=\"M805.49,-608.88C800.72,-600.33 795.51,-591.01 790.51,-582.07\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"793.54,-580.32 785.61,-573.3 787.43,-583.74 793.54,-580.32\"/>\n</g>\n<!-- 38 -->\n<g id=\"node39\" class=\"node\">\n<title>38</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"931.5,-565.5 836.5,-565.5 836.5,-512.5 931.5,-512.5 931.5,-565.5\"/>\n<text text-anchor=\"middle\" x=\"884\" y=\"-550.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"884\" y=\"-535.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 1</text>\n<text text-anchor=\"middle\" x=\"884\" y=\"-520.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 1]</text>\n</g>\n<!-- 28&#45;&gt;38 -->\n<g id=\"edge38\" class=\"edge\">\n<title>28&#45;&gt;38</title>\n<path fill=\"none\" stroke=\"black\" d=\"M843.48,-608.88C850.01,-597.78 857.31,-585.37 863.89,-574.18\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"866.93,-575.91 868.99,-565.52 860.9,-572.36 866.93,-575.91\"/>\n</g>\n<!-- 30 -->\n<g id=\"node31\" class=\"node\">\n<title>30</title>\n<polygon fill=\"#eca36e\" stroke=\"black\" points=\"813,-469 711,-469 711,-401 813,-401 813,-469\"/>\n<text text-anchor=\"middle\" x=\"762\" y=\"-453.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= &#45;0.17</text>\n<text text-anchor=\"middle\" x=\"762\" y=\"-438.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.332</text>\n<text text-anchor=\"middle\" x=\"762\" y=\"-423.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 19</text>\n<text text-anchor=\"middle\" x=\"762\" y=\"-408.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [15, 4]</text>\n</g>\n<!-- 29&#45;&gt;30 -->\n<g id=\"edge30\" class=\"edge\">\n<title>29&#45;&gt;30</title>\n<path fill=\"none\" stroke=\"black\" d=\"M765.38,-504.88C764.98,-496.78 764.55,-487.98 764.13,-479.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"767.62,-479.12 763.63,-469.3 760.63,-479.46 767.62,-479.12\"/>\n</g>\n<!-- 37 -->\n<g id=\"node38\" class=\"node\">\n<title>37</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"933,-461.5 831,-461.5 831,-408.5 933,-408.5 933,-461.5\"/>\n<text text-anchor=\"middle\" x=\"882\" y=\"-446.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"882\" y=\"-431.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 14</text>\n<text text-anchor=\"middle\" x=\"882\" y=\"-416.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [14, 0]</text>\n</g>\n<!-- 29&#45;&gt;37 -->\n<g id=\"edge37\" class=\"edge\">\n<title>29&#45;&gt;37</title>\n<path fill=\"none\" stroke=\"black\" d=\"M804.34,-504.88C817.6,-493.12 832.51,-479.89 845.69,-468.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"848.07,-470.77 853.23,-461.52 843.42,-465.54 848.07,-470.77\"/>\n</g>\n<!-- 31 -->\n<g id=\"node32\" class=\"node\">\n<title>31</title>\n<polygon fill=\"#e78946\" stroke=\"black\" points=\"754,-365 652,-365 652,-297 754,-297 754,-365\"/>\n<text text-anchor=\"middle\" x=\"703\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= &#45;0.488</text>\n<text text-anchor=\"middle\" x=\"703\" y=\"-334.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.117</text>\n<text text-anchor=\"middle\" x=\"703\" y=\"-319.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 16</text>\n<text text-anchor=\"middle\" x=\"703\" y=\"-304.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [15, 1]</text>\n</g>\n<!-- 30&#45;&gt;31 -->\n<g id=\"edge31\" class=\"edge\">\n<title>30&#45;&gt;31</title>\n<path fill=\"none\" stroke=\"black\" d=\"M742.84,-400.88C737.9,-392.33 732.51,-383.01 727.34,-374.07\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"730.3,-372.2 722.26,-365.3 724.24,-375.71 730.3,-372.2\"/>\n</g>\n<!-- 36 -->\n<g id=\"node37\" class=\"node\">\n<title>36</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"867.5,-357.5 772.5,-357.5 772.5,-304.5 867.5,-304.5 867.5,-357.5\"/>\n<text text-anchor=\"middle\" x=\"820\" y=\"-342.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"820\" y=\"-327.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 3</text>\n<text text-anchor=\"middle\" x=\"820\" y=\"-312.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 3]</text>\n</g>\n<!-- 30&#45;&gt;36 -->\n<g id=\"edge36\" class=\"edge\">\n<title>30&#45;&gt;36</title>\n<path fill=\"none\" stroke=\"black\" d=\"M780.83,-400.88C787.08,-389.89 794.06,-377.62 800.37,-366.52\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"803.59,-367.94 805.49,-357.52 797.5,-364.48 803.59,-367.94\"/>\n</g>\n<!-- 32 -->\n<g id=\"node33\" class=\"node\">\n<title>32</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"695,-253.5 593,-253.5 593,-200.5 695,-200.5 695,-253.5\"/>\n<text text-anchor=\"middle\" x=\"644\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"644\" y=\"-223.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 13</text>\n<text text-anchor=\"middle\" x=\"644\" y=\"-208.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [13, 0]</text>\n</g>\n<!-- 31&#45;&gt;32 -->\n<g id=\"edge32\" class=\"edge\">\n<title>31&#45;&gt;32</title>\n<path fill=\"none\" stroke=\"black\" d=\"M683.84,-296.88C677.42,-285.78 670.24,-273.37 663.77,-262.18\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"666.8,-260.42 658.76,-253.52 660.74,-263.93 666.8,-260.42\"/>\n</g>\n<!-- 33 -->\n<g id=\"node34\" class=\"node\">\n<title>33</title>\n<polygon fill=\"#f2c09c\" stroke=\"black\" points=\"808.5,-261 713.5,-261 713.5,-193 808.5,-193 808.5,-261\"/>\n<text text-anchor=\"middle\" x=\"761\" y=\"-245.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x2 &lt;= 0.521</text>\n<text text-anchor=\"middle\" x=\"761\" y=\"-230.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.444</text>\n<text text-anchor=\"middle\" x=\"761\" y=\"-215.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 3</text>\n<text text-anchor=\"middle\" x=\"761\" y=\"-200.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [2, 1]</text>\n</g>\n<!-- 31&#45;&gt;33 -->\n<g id=\"edge33\" class=\"edge\">\n<title>31&#45;&gt;33</title>\n<path fill=\"none\" stroke=\"black\" d=\"M721.83,-296.88C726.69,-288.33 731.99,-279.01 737.08,-270.07\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"740.16,-271.72 742.07,-261.3 734.08,-268.26 740.16,-271.72\"/>\n</g>\n<!-- 34 -->\n<g id=\"node35\" class=\"node\">\n<title>34</title>\n<polygon fill=\"#399de5\" stroke=\"black\" points=\"751.5,-149.5 656.5,-149.5 656.5,-96.5 751.5,-96.5 751.5,-149.5\"/>\n<text text-anchor=\"middle\" x=\"704\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"704\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 1</text>\n<text text-anchor=\"middle\" x=\"704\" y=\"-104.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 1]</text>\n</g>\n<!-- 33&#45;&gt;34 -->\n<g id=\"edge34\" class=\"edge\">\n<title>33&#45;&gt;34</title>\n<path fill=\"none\" stroke=\"black\" d=\"M742.49,-192.88C736.35,-181.89 729.49,-169.62 723.29,-158.52\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"726.19,-156.54 718.26,-149.52 720.08,-159.96 726.19,-156.54\"/>\n</g>\n<!-- 35 -->\n<g id=\"node36\" class=\"node\">\n<title>35</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"864.5,-149.5 769.5,-149.5 769.5,-96.5 864.5,-96.5 864.5,-149.5\"/>\n<text text-anchor=\"middle\" x=\"817\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"817\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 2</text>\n<text text-anchor=\"middle\" x=\"817\" y=\"-104.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [2, 0]</text>\n</g>\n<!-- 33&#45;&gt;35 -->\n<g id=\"edge35\" class=\"edge\">\n<title>33&#45;&gt;35</title>\n<path fill=\"none\" stroke=\"black\" d=\"M779.18,-192.88C785.22,-181.89 791.96,-169.62 798.05,-158.52\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"801.24,-159.97 802.99,-149.52 795.11,-156.6 801.24,-159.97\"/>\n</g>\n<!-- 40 -->\n<g id=\"node41\" class=\"node\">\n<title>40</title>\n<polygon fill=\"#e78845\" stroke=\"black\" points=\"1053,-573 951,-573 951,-505 1053,-505 1053,-573\"/>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-557.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= &#45;0.335</text>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-542.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.105</text>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-527.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 18</text>\n<text text-anchor=\"middle\" x=\"1002\" y=\"-512.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [17, 1]</text>\n</g>\n<!-- 39&#45;&gt;40 -->\n<g id=\"edge40\" class=\"edge\">\n<title>39&#45;&gt;40</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1002,-608.88C1002,-600.78 1002,-591.98 1002,-583.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1005.5,-583.3 1002,-573.3 998.5,-583.3 1005.5,-583.3\"/>\n</g>\n<!-- 43 -->\n<g id=\"node44\" class=\"node\">\n<title>43</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"1173,-565.5 1071,-565.5 1071,-512.5 1173,-512.5 1173,-565.5\"/>\n<text text-anchor=\"middle\" x=\"1122\" y=\"-550.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"1122\" y=\"-535.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 47</text>\n<text text-anchor=\"middle\" x=\"1122\" y=\"-520.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [47, 0]</text>\n</g>\n<!-- 39&#45;&gt;43 -->\n<g id=\"edge43\" class=\"edge\">\n<title>39&#45;&gt;43</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1040.96,-608.88C1054.8,-597.12 1070.36,-583.89 1084.11,-572.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1086.62,-574.66 1091.98,-565.52 1082.09,-569.33 1086.62,-574.66\"/>\n</g>\n<!-- 41 -->\n<g 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            "text/plain": [
              "<graphviz.sources.Source at 0x7d0d5cd5c640>"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dot = export_graphviz(tree_clf2,\n",
        "                      feature_names=['x1', 'x2'],\n",
        "                      filled=True)\n",
        "gv.Source(dot)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 954
        },
        "id": "0bcXcVN5jMvY",
        "outputId": "d75743d4-d7a6-4ecb-a30b-48511e286fa7"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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478.5,-149.5 478.5,-96.5 573.5,-96.5 573.5,-149.5\"/>\n<text text-anchor=\"middle\" x=\"526\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"526\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 8</text>\n<text text-anchor=\"middle\" x=\"526\" y=\"-104.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 8]</text>\n</g>\n<!-- 15&#45;&gt;17 -->\n<g id=\"edge17\" class=\"edge\">\n<title>15&#45;&gt;17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M525.32,-192.88C525.43,-182.33 525.54,-170.6 525.65,-159.85\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"529.15,-159.55 525.75,-149.52 522.15,-159.49 529.15,-159.55\"/>\n</g>\n<!-- 19 -->\n<g id=\"node20\" class=\"node\">\n<title>19</title>\n<polygon fill=\"#e78946\" stroke=\"black\" points=\"756,-469 654,-469 654,-401 756,-401 756,-469\"/>\n<text text-anchor=\"middle\" x=\"705\" y=\"-453.8\" 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y=\"-446.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"822\" y=\"-431.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 7</text>\n<text text-anchor=\"middle\" x=\"822\" y=\"-416.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [0, 7]</text>\n</g>\n<!-- 18&#45;&gt;30 -->\n<g id=\"edge30\" class=\"edge\">\n<title>18&#45;&gt;30</title>\n<path fill=\"none\" stroke=\"black\" d=\"M742.99,-504.88C756.48,-493.12 771.65,-479.89 785.06,-468.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"787.49,-470.73 792.73,-461.52 782.89,-465.45 787.49,-470.73\"/>\n</g>\n<!-- 20 -->\n<g id=\"node21\" class=\"node\">\n<title>20</title>\n<polygon fill=\"#e9975b\" stroke=\"black\" points=\"756,-365 654,-365 654,-297 756,-297 756,-365\"/>\n<text text-anchor=\"middle\" x=\"705\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= 0.249</text>\n<text text-anchor=\"middle\" x=\"705\" y=\"-334.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.251</text>\n<text text-anchor=\"middle\" x=\"705\" y=\"-319.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 34</text>\n<text text-anchor=\"middle\" x=\"705\" y=\"-304.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [29, 5]</text>\n</g>\n<!-- 19&#45;&gt;20 -->\n<g id=\"edge20\" class=\"edge\">\n<title>19&#45;&gt;20</title>\n<path fill=\"none\" stroke=\"black\" d=\"M705,-400.88C705,-392.78 705,-383.98 705,-375.47\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"708.5,-375.3 705,-365.3 701.5,-375.3 708.5,-375.3\"/>\n</g>\n<!-- 25 -->\n<g id=\"node26\" class=\"node\">\n<title>25</title>\n<polygon fill=\"#e5833c\" stroke=\"black\" points=\"936,-365 834,-365 834,-297 936,-297 936,-365\"/>\n<text text-anchor=\"middle\" x=\"885\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= &#45;0.275</text>\n<text text-anchor=\"middle\" x=\"885\" y=\"-334.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.03</text>\n<text text-anchor=\"middle\" x=\"885\" y=\"-319.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 65</text>\n<text text-anchor=\"middle\" x=\"885\" y=\"-304.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [64, 1]</text>\n</g>\n<!-- 19&#45;&gt;25 -->\n<g id=\"edge25\" class=\"edge\">\n<title>19&#45;&gt;25</title>\n<path fill=\"none\" stroke=\"black\" d=\"M756.1,-405.04C777.57,-392.88 802.7,-378.64 825.04,-365.98\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"826.8,-369 833.77,-361.03 823.35,-362.91 826.8,-369\"/>\n</g>\n<!-- 21 -->\n<g id=\"node22\" class=\"node\">\n<title>21</title>\n<polygon fill=\"#eeab7b\" stroke=\"black\" points=\"696,-261 594,-261 594,-193 696,-193 696,-261\"/>\n<text text-anchor=\"middle\" x=\"645\" y=\"-245.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">x1 &lt;= &#45;0.488</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-230.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.375</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-215.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 20</text>\n<text text-anchor=\"middle\" x=\"645\" y=\"-200.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [15, 5]</text>\n</g>\n<!-- 20&#45;&gt;21 -->\n<g id=\"edge21\" class=\"edge\">\n<title>20&#45;&gt;21</title>\n<path fill=\"none\" stroke=\"black\" d=\"M685.52,-296.88C680.49,-288.33 675.01,-279.01 669.75,-270.07\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"672.67,-268.14 664.59,-261.3 666.64,-271.69 672.67,-268.14\"/>\n</g>\n<!-- 24 -->\n<g id=\"node25\" class=\"node\">\n<title>24</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"816,-253.5 714,-253.5 714,-200.5 816,-200.5 816,-253.5\"/>\n<text text-anchor=\"middle\" x=\"765\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"765\" y=\"-223.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 14</text>\n<text text-anchor=\"middle\" x=\"765\" y=\"-208.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [14, 0]</text>\n</g>\n<!-- 20&#45;&gt;24 -->\n<g id=\"edge24\" class=\"edge\">\n<title>20&#45;&gt;24</title>\n<path fill=\"none\" stroke=\"black\" d=\"M724.48,-296.88C731.01,-285.78 738.31,-273.37 744.89,-262.18\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"747.93,-263.91 749.99,-253.52 741.9,-260.36 747.93,-263.91\"/>\n</g>\n<!-- 22 -->\n<g id=\"node23\" class=\"node\">\n<title>22</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"695,-149.5 593,-149.5 593,-96.5 695,-96.5 695,-149.5\"/>\n<text text-anchor=\"middle\" x=\"644\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"644\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 13</text>\n<text text-anchor=\"middle\" x=\"644\" y=\"-104.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [13, 0]</text>\n</g>\n<!-- 21&#45;&gt;22 -->\n<g id=\"edge22\" class=\"edge\">\n<title>21&#45;&gt;22</title>\n<path fill=\"none\" stroke=\"black\" d=\"M644.68,-192.88C644.57,-182.33 644.46,-170.6 644.35,-159.85\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"647.85,-159.49 644.25,-149.52 640.85,-159.55 647.85,-159.49\"/>\n</g>\n<!-- 23 -->\n<g id=\"node24\" class=\"node\">\n<title>23</title>\n<polygon fill=\"#88c4ef\" stroke=\"black\" points=\"808.5,-149.5 713.5,-149.5 713.5,-96.5 808.5,-96.5 808.5,-149.5\"/>\n<text text-anchor=\"middle\" x=\"761\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.408</text>\n<text text-anchor=\"middle\" x=\"761\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 7</text>\n<text text-anchor=\"middle\" x=\"761\" y=\"-104.3\" 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25&#45;&gt;29 -->\n<g id=\"edge29\" class=\"edge\">\n<title>25&#45;&gt;29</title>\n<path fill=\"none\" stroke=\"black\" d=\"M923.96,-296.88C937.8,-285.12 953.36,-271.89 967.11,-260.2\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"969.62,-262.66 974.98,-253.52 965.09,-257.33 969.62,-262.66\"/>\n</g>\n<!-- 27 -->\n<g id=\"node28\" class=\"node\">\n<title>27</title>\n<polygon fill=\"#e58139\" stroke=\"black\" points=\"933,-149.5 831,-149.5 831,-96.5 933,-96.5 933,-149.5\"/>\n<text text-anchor=\"middle\" x=\"882\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">gini = 0.0</text>\n<text text-anchor=\"middle\" x=\"882\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">samples = 13</text>\n<text text-anchor=\"middle\" x=\"882\" y=\"-104.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\">value = [13, 0]</text>\n</g>\n<!-- 26&#45;&gt;27 -->\n<g id=\"edge27\" class=\"edge\">\n<title>26&#45;&gt;27</title>\n<path fill=\"none\" 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            "text/plain": [
              "<graphviz.sources.Source at 0x7d0d5cd02620>"
            ]
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def plot_decision_boundary(clf, X, y, axes, cmap):\n",
        "    x1, x2 = np.meshgrid(np.linspace(axes[0], axes[1], 100),\n",
        "                         np.linspace(axes[2], axes[3], 100))\n",
        "    X_new = np.c_[x1.ravel(), x2.ravel()]\n",
        "    y_pred = clf.predict(X_new).reshape(x1.shape)\n",
        "\n",
        "    plt.contourf(x1, x2, y_pred, alpha=.3, cmap=cmap)\n",
        "    plt.contour(x1, x2, y_pred, alpha=.8, cmap='Greys')\n",
        "    colors = {'Wistia': ['#78785c', '#c47b27'], 'Pastel1': ['red', 'blue']}\n",
        "    markers = ['o', '^']\n",
        "    for idx in (0, 1):\n",
        "        plt.plot(X[:, 0][y == idx], X[:, 1][y == idx],\n",
        "                 color=colors[cmap][idx], marker=markers[idx], linestyle='none')\n",
        "    plt.axis(axes)\n",
        "    plt.xlabel(r\"$x_1$\")\n",
        "    plt.ylabel(r\"$x_2$\", rotation=0)\n"
      ],
      "metadata": {
        "id": "wNmopVcrbgKa"
      },
      "execution_count": 24,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "fig, axes = plt.subplots(ncols=2, figsize=(10, 4), sharey=True)\n",
        "plt.sca(axes[0])\n",
        "plot_decision_boundary(tree_clf1, X, y,\n",
        "                       axes=[-1.5, 2.4, -1, 1.5], cmap='Wistia')\n",
        "plt.title(\"No restrictions\")\n",
        "plt.sca(axes[1])\n",
        "plot_decision_boundary(tree_clf2, X, y,\n",
        "                       axes=[-1.5, 2.4, -1, 1.5], cmap='Wistia')\n",
        "plt.title(f\"Min samples leaf = {tree_clf2.min_samples_leaf}\")\n",
        "plt.ylabel(\"\")\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 411
        },
        "id": "tWM1VcwJl2i6",
        "outputId": "724e7f4f-249b-444f-8aee-c28d82f0b83c"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x400 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "DMJulAiTm_Gl"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}