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MaxHalford/11_bananas.ipynb

Last active January 25, 2023 00:54
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11_bananas.ipynb
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1_moons.ipynb
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2_padding.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Padding"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"SMALL_SIZE = 12\n",
"MEDIUM_SIZE = 20\n",
"BIGGER_SIZE = 24\n",
"\n",
"plt.rc('font', size=SMALL_SIZE) # controls default text sizes\n",
"plt.rc('axes', titlesize=MEDIUM_SIZE) # fontsize of the axes title\n",
"plt.rc('axes', labelsize=MEDIUM_SIZE) # fontsize of the x and y labels\n",
"plt.rc('xtick', labelsize=16) # fontsize of the tick labels\n",
"plt.rc('ytick', labelsize=16) # fontsize of the tick labels\n",
"plt.rc('legend', fontsize=SMALL_SIZE) # legend fontsize\n",
"plt.rc('figure', titlesize=BIGGER_SIZE) # fontsize of the figure title\n",
"\n",
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1080x360 with 6 Axes>"
]
},
"metadata": {
"image/png": {
"height": 328,
"width": 883
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"\n",
"from mpl_toolkits.axes_grid1 import ImageGrid\n",
"from matplotlib import lines\n",
"\n",
"%run fast_trees.py\n",
"\n",
"rng = random.Random(42)\n",
"x = r'$x_1$'\n",
"y = r'$x_2$'\n",
"limits = {x: (0, 1), y: (0, 1)}\n",
"\n",
"paddings = (0.1, 0.25, 0.4)\n",
"\n",
"n_cols = 3\n",
"fig = plt.figure(figsize=(5 * n_cols, 5))\n",
"grid = ImageGrid(\n",
" fig, 111,\n",
" nrows_ncols=(1, n_cols),\n",
" axes_pad=0.5,\n",
")\n",
"\n",
"for padding, ax in zip(paddings, grid):\n",
" \n",
" tree = make_tree(\n",
" limits=limits,\n",
" height=7,\n",
" weights={x: 1, y: 1},\n",
" padding=padding,\n",
" rng=rng\n",
" )\n",
"\n",
" for split in iter_splits(tree, limits=limits):\n",
" line = lines.Line2D(\n",
" [split[x][0], split[x][1]], [split[y][0], split[y][1]],\n",
" color='black',\n",
" linewidth=1\n",
" )\n",
" ax.add_line(line)\n",
"\n",
" ax.set_title(r'$\\delta$ = ' + str(padding), pad=12)\n",
" ax.set_xlabel(x, labelpad=12)\n",
" ax.set_ylabel(y, labelpad=12)\n",
" ax.set_aspect('equal', 'box')\n",
" for spine in ('top', 'bottom', 'left', 'right'):\n",
" ax.spines[spine].set_visible(False)\n",
" ax.get_xaxis().set_ticks([])\n",
" ax.get_yaxis().set_ticks([])\n",
" \n",
"\n",
"for ext in ('png', 'pdf', 'pgf'):\n",
" fig.savefig(f'figures/padding.{ext}', bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Uniform random trees"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x360 with 6 Axes>"
]
},
"metadata": {
"image/png": {
"height": 301,
"width": 883
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_cols = 3\n",
"fig = plt.figure(figsize=(5 * n_cols, 5))\n",
"grid = ImageGrid(\n",
" fig, 111,\n",
" nrows_ncols=(1, n_cols),\n",
" axes_pad=0.5,\n",
")\n",
"\n",
"rng = random.Random(10)\n",
"\n",
"for padding, ax in zip(paddings, grid):\n",
" \n",
" tree = make_tree(\n",
" limits=limits,\n",
" height=7,\n",
" weights={x: 1, y: 1},\n",
" padding=0,\n",
" rng=rng\n",
" )\n",
"\n",
" for split in iter_splits(tree, limits=limits):\n",
" line = lines.Line2D(\n",
" [split[x][0], split[x][1]], [split[y][0], split[y][1]],\n",
" color='black',\n",
" linewidth=1\n",
" )\n",
" ax.add_line(line)\n",
"\n",
" ax.set_xlabel(x, labelpad=12)\n",
" ax.set_ylabel(y, labelpad=12)\n",
" ax.set_aspect('equal', 'box')\n",
" for spine in ('top', 'bottom', 'left', 'right'):\n",
" ax.spines[spine].set_visible(False)\n",
" ax.get_xaxis().set_ticks([])\n",
" ax.get_yaxis().set_ticks([])\n",
" \n",
"\n",
"for ext in ('png', 'pdf', 'pgf'):\n",
" fig.savefig(f'figures/uniform.{ext}', bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Centered random trees"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x360 with 6 Axes>"
]
},
"metadata": {
"image/png": {
"height": 301,
"width": 883
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_cols = 3\n",
"fig = plt.figure(figsize=(5 * n_cols, 5))\n",
"grid = ImageGrid(\n",
" fig, 111,\n",
" nrows_ncols=(1, n_cols),\n",
" axes_pad=0.5,\n",
")\n",
"\n",
"rng = random.Random(10)\n",
"\n",
"for padding, ax in zip(paddings, grid):\n",
" \n",
" tree = make_tree(\n",
" limits=limits,\n",
" height=7,\n",
" weights={x: 1, y: 1},\n",
" padding=.5,\n",
" rng=rng\n",
" )\n",
"\n",
" for split in iter_splits(tree, limits=limits):\n",
" line = lines.Line2D(\n",
" [split[x][0], split[x][1]], [split[y][0], split[y][1]],\n",
" color='black',\n",
" linewidth=1\n",
" )\n",
" ax.add_line(line)\n",
"\n",
" ax.set_xlabel(x, labelpad=12)\n",
" ax.set_ylabel(y, labelpad=12)\n",
" ax.set_aspect('equal', 'box')\n",
" for spine in ('top', 'bottom', 'left', 'right'):\n",
" ax.spines[spine].set_visible(False)\n",
" ax.get_xaxis().set_ticks([])\n",
" ax.get_yaxis().set_ticks([])\n",
" \n",
"\n",
"for ext in ('png', 'pdf', 'pgf'):\n",
" fig.savefig(f'figures/centered.{ext}', bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visu"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 406,
"width": 375
}
},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import lines\n",
"from matplotlib import patches\n",
"\n",
"\n",
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"line_style = {'color': 'black', 'linewidth': 1}\n",
"ax.add_line(lines.Line2D([.4, .4], [0, 1], **line_style))\n",
"ax.add_line(lines.Line2D([.4, 1], [.6, .6], **line_style))\n",
"ax.add_line(lines.Line2D([0, .4], [.3, .3], **line_style))\n",
"\n",
"ax.set_aspect('equal', 'box')\n",
"for spine in ('top', 'bottom', 'left', 'right'):\n",
" ax.spines[spine].set_visible(False)\n",
"ax.get_xaxis().set_ticks([])\n",
"ax.get_yaxis().set_ticks([])\n",
"\n",
"d = .2\n",
"\n",
"ax.add_patch(patches.Rectangle((0, 0), .4, .3, color='#FE6B64', alpha=.5))\n",
"ax.add_patch(patches.Rectangle((d * .4, d * .3), (1 - 2 * d) * .4, (1 - 2 * d) * .3, color='#98E690'))\n",
"\n",
"ax.add_patch(patches.Rectangle((.4, 0), .6, .6, color='#FE6B64', alpha=.5))\n",
"ax.add_patch(patches.Rectangle((.4 + d * (1 - .4), 0 + d * (.6 - 0)), (1 - 2 * d) * .6, (1 - 2 * d) * .6, color='#98E690'))\n",
"\n",
"ax.add_patch(patches.Rectangle((.4, .6), .6, .4, color='#FE6B64', alpha=.5))\n",
"ax.add_patch(patches.Rectangle((.4 + d * (1 - .4), .6 + d * (1 - .6)), (1 - 2 * d) * .6, (1 - 2 * d) * .4, color='#98E690'))\n",
"\n",
"ax.add_patch(patches.Rectangle((0, .3), .4, .7, color='#FE6B64', alpha=.5))\n",
"ax.add_patch(patches.Rectangle((0 + d * (.4 - 0), .3 + d * (1 - .3)), (1 - 2 * d) * .4, (1 - 2 * d) * .7, color='#98E690'))\n",
"\n",
"ax.set_xlabel(r'$x_1$', labelpad=15)\n",
"ax.set_ylabel(r'$x_2$', labelpad=15)\n",
"ax.set_title(r'$\\delta$ = 0.2', pad=15)\n",
"\n",
"fig.savefig('figures/padding_area.pdf', bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact on performance"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 20/20 [00:20<00:00, 1.02s/it]\n",
"100%|██████████| 20/20 [00:48<00:00, 2.43s/it]\n",
"100%|██████████| 20/20 [01:13<00:00, 3.68s/it]\n",
"100%|██████████| 20/20 [01:38<00:00, 4.92s/it]\n",
"100%|██████████| 20/20 [02:08<00:00, 6.43s/it]\n",
"100%|██████████| 5/5 [06:09<00:00, 73.94s/it]\n"
]
}
],
"source": [
"from creme import metrics\n",
"from creme import model_selection\n",
"from creme import stream\n",
"import numpy as np\n",
"from sklearn import datasets\n",
"from sklearn import preprocessing\n",
"import tqdm\n",
"\n",
"%run fast_trees.py\n",
"\n",
"banana = datasets.fetch_openml('banana')\n",
"X = banana['data']\n",
"X = preprocessing.minmax_scale(X)\n",
"y = preprocessing.LabelEncoder().fit_transform(banana['target'])\n",
"\n",
"scores = {}\n",
"\n",
"for n_trees in tqdm.tqdm([1, 3, 5, 7, 9]):\n",
" scores[n_trees] = {}\n",
" \n",
" for padding in tqdm.tqdm(np.linspace(0., .5, 20), position=0):\n",
"\n",
" model = FastTreesClassifier(n_trees=n_trees, height=7, padding=padding, seed=42)\n",
"\n",
" X_y = stream.iter_array(X, y)\n",
" metric = metrics.LogLoss()\n",
" score = model_selection.progressive_val_score(X_y, model, metric).get()\n",
" scores[n_trees][padding] = score"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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3_path_averaging.ipynb
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4_drift.ipynb
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