{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Close leaves in a decision trees\n", "\n", "A decision tree computes a partition of the feature space. We can wonder which leave is close to another one even though the predict the same value (or class). Do they share a border ?"]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": ["import warnings\n", "warnings.simplefilter(\"ignore\")"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## A simple tree"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": ["import numpy\n", "X = numpy.array([[10, 0], [10, 1], [10, 2],\n", " [11, 0], [11, 1], [11, 2],\n", " [12, 0], [12, 1], [12, 2]])\n", "y = list(range(X.shape[0]))"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"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", "fig, ax = plt.subplots(1, 1)\n", "for i in range(X.shape[0]):\n", " ax.plot([X[i, 0]], [X[i, 1]], 'o', ms=19, label=\"y=%d\" % y[i])\n", "ax.legend()\n", "ax.set_title(\"Simple grid\");"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/plain": ["DecisionTreeClassifier(max_depth=5)"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.tree import DecisionTreeClassifier\n", "clr = DecisionTreeClassifier(max_depth=5)\n", "clr.fit(X, y)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["The contains the following list of leaves."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["[2, 4, 5, 8, 10, 11, 13, 15, 16]"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["from mlinsights.mltree import tree_leave_index\n", "tree_leave_index(clr)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Let's compute the neighbors for each leave."]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["{(2, 8): [(0, (10.0, 0.0), (11.0, 0.0))],\n", " (2, 4): [(1, (10.0, 0.0), (10.0, 1.0))],\n", " (4, 10): [(0, (10.0, 1.0), (11.0, 1.0))],\n", " (4, 5): [(1, (10.0, 1.0), (10.0, 2.0))],\n", " (5, 11): [(0, (10.0, 2.0), (11.0, 2.0))],\n", " (8, 13): [(0, (11.0, 0.0), (12.0, 0.0))],\n", " (8, 10): [(1, (11.0, 0.0), (11.0, 1.0))],\n", " (10, 15): [(0, (11.0, 1.0), (12.0, 1.0))],\n", " (10, 11): [(1, (11.0, 1.0), (11.0, 2.0))],\n", " (11, 16): [(0, (11.0, 2.0), (12.0, 2.0))],\n", " (13, 15): [(1, (12.0, 0.0), (12.0, 1.0))],\n", " (15, 16): [(1, (12.0, 1.0), (12.0, 2.0))]}"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["from mlinsights.mltree import tree_leave_neighbors\n", "neighbors = tree_leave_neighbors(clr)\n", "neighbors"]}, {"cell_type": "markdown", "metadata": {}, "source": ["And let's explain the results by drawing the segments ``[x1, x2]``."]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from mlinsights.mltree import predict_leaves\n", "leaves = predict_leaves(clr, X)\n", "\n", "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "for i in range(X.shape[0]):\n", " ax[0].plot([X[i, 0]], [X[i, 1]], 'o', ms=19)\n", " ax[1].plot([X[i, 0]], [X[i, 1]], 'o', ms=19)\n", " ax[0].text(X[i, 0] + 0.1, X[i, 1] - 0.1, \"y=%d\\nl=%d\" % (y[i], leaves[i]))\n", " \n", "for edge, segments in neighbors.items():\n", " for segment in segments:\n", " # leaves l1, l2 are neighbors\n", " l1, l2 = edge\n", " # the common border is [x1, x2]\n", " x1 = segment[1]\n", " x2 = segment[2]\n", " ax[1].plot([x1[0], x2[0]], [x1[1], x2[1]], 'b--')\n", " ax[1].text((x1[0] + x2[0])/2, (x1[1] + x2[1])/2, \"%d->%d\" % edge)\n", "ax[0].set_title(\"Classes and leaves\")\n", "ax[1].set_title(\"Segments\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## On Iris"]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": ["from sklearn.datasets import load_iris\n", "iris = load_iris()"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": ["X = iris.data[:, :2]\n", "y = iris.target"]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"text/plain": ["DecisionTreeClassifier(max_depth=3)"]}, "execution_count": 13, "metadata": {}, "output_type": "execute_result"}], "source": ["clr = DecisionTreeClassifier(max_depth=3)\n", "clr.fit(X, y)"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "\n", "def draw_border(clr, X, y, fct=None, incx=1, incy=1, figsize=None, border=True, ax=None):\n", "\n", " # see https://sashat.me/2017/01/11/list-of-20-simple-distinct-colors/\n", " # https://matplotlib.org/examples/color/colormaps_reference.html\n", " _unused_ = [\"Red\", \"Green\", \"Yellow\", \"Blue\", \"Orange\", \"Purple\", \"Cyan\",\n", " \"Magenta\", \"Lime\", \"Pink\", \"Teal\", \"Lavender\", \"Brown\", \"Beige\",\n", " \"Maroon\", \"Mint\", \"Olive\", \"Coral\", \"Navy\", \"Grey\", \"White\", \"Black\"]\n", "\n", " h = .02 # step size in the mesh\n", " # Plot the decision boundary. For that, we will assign a color to each\n", " # point in the mesh [x_min, x_max]x[y_min, y_max].\n", " x_min, x_max = X[:, 0].min() - incx, X[:, 0].max() + incx\n", " y_min, y_max = X[:, 1].min() - incy, X[:, 1].max() + incy\n", " xx, yy = numpy.meshgrid(numpy.arange(x_min, x_max, h), numpy.arange(y_min, y_max, h))\n", " if fct is None:\n", " Z = clr.predict(numpy.c_[xx.ravel(), yy.ravel()])\n", " else:\n", " Z = fct(clr, numpy.c_[xx.ravel(), yy.ravel()])\n", "\n", " # Put the result into a color plot\n", " cmap = plt.cm.tab20\n", " Z = Z.reshape(xx.shape)\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 1, figsize=figsize or (4, 3))\n", " ax.pcolormesh(xx, yy, Z, cmap=cmap)\n", "\n", " # Plot also the training points\n", " ax.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k', cmap=cmap)\n", " ax.set_xlabel('Sepal length')\n", " ax.set_ylabel('Sepal width')\n", "\n", " ax.set_xlim(xx.min(), xx.max())\n", " ax.set_ylim(yy.min(), yy.max())\n", " return ax\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "draw_border(clr, X, y, border=False, ax=ax[0])\n", "ax[0].set_title(\"Iris\")\n", "draw_border(clr, X, y, border=False, ax=ax[1],\n", " fct=lambda m, x: predict_leaves(m, x))\n", "ax[1].set_title(\"Leaves\");"]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"data": {"text/plain": ["[((3, 4),\n", " [(0,\n", " (4.650000095367432, 2.4750000834465027),\n", " (5.025000095367432, 2.4750000834465027))]),\n", " ((3, 6),\n", " [(1,\n", " (4.650000095367432, 2.4750000834465027),\n", " (4.650000095367432, 3.1250000596046448))])]"]}, "execution_count": 15, "metadata": {}, "output_type": "execute_result"}], "source": ["neighbors = tree_leave_neighbors(clr)\n", "list(neighbors.items())[:2]"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(8,8))\n", "draw_border(clr, X, y, incx=1, incy=1, figsize=(6,4), border=False, ax=ax,\n", " fct=lambda m, x: predict_leaves(m, x))\n", "\n", "for edge, segments in neighbors.items():\n", " for segment in segments:\n", " # leaves l1, l2 are neighbors\n", " l1, l2 = edge\n", " # the common border is [x1, x2]\n", " x1 = segment[1]\n", " x2 = segment[2]\n", " ax.plot([x1[0], x2[0]], [x1[1], x2[1]], 'b--')\n", " ax.text((x1[0] + x2[0])/2, (x1[1] + x2[1])/2, \"%d->%d\" % edge)\n", "ax.set_title(\"Leaves and segments\");"]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5"}}, "nbformat": 4, "nbformat_minor": 2}