{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# 2D Histograms in physt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Necessary import evil\n", "import physt\n", "from physt import h1, h2, histogramdd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(42)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Some data\n", "x = np.random.normal(100, 1, 1000)\n", "y = np.random.normal(10, 10, 1000)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram2D('Some histogram', bins=(8, 4), total=1000, dtype=int64)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a simple histogram\n", "histogram = h2(x, y, [8, 4], name=\"Some histogram\", axis_names=[\"x\", \"y\"])\n", "histogram" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 2, 4, 0],\n", " [ 3, 26, 20, 5],\n", " [ 17, 78, 104, 10],\n", " [ 26, 163, 147, 17],\n", " [ 17, 136, 96, 17],\n", " [ 6, 41, 38, 6],\n", " [ 1, 11, 7, 0],\n", " [ 0, 1, 0, 1]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Frequencies are a 2D-array\n", "histogram.frequencies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multidimensional binning\n", "\n", "In most cases, binning methods that apply for 1D histograms, can be used also in higher dimensions. In such cases, each parameter can be either scalar (applies to all dimensions) or a list/tuple with independent values for each dimension. This also applies for *range* that has to be list/tuple of tuples." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96., 98., 100., 102., 104.]),\n", " array([-20., -10., 0., 10., 20., 30., 40., 50.])]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "histogram = h2(x, y, \"fixed_width\", bin_width=[2, 10], name=\"Fixed-width bins\", axis_names=[\"x\", \"y\"])\n", "histogram.plot();\n", "histogram.numpy_bins" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96.75873266, 99.54993453, 100.40825276, 103.85273149]),\n", " array([-19.40388635, 3.93758311, 10.63077132, 17.28882177,\n", " 41.93107568])]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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clUl0GixV9epp3jpiTguRpB7rU2tkEl4rTJIGwBaLJKlVBoskqTV2hUmSWmewSJJaZbBIklplsEiSWpNkfl0rTJLUPVsskqRWDSlYhjMxWpIWqCSt35o4yeIk30ry981ya3fvNVgkaQBm4SKUpwPjtz7ZePfeA4BLm+UZMVgkaQDaDJYk+wAvZ3RX4I2OYXTXXprnY2daq2MskjQAW9HNtXuSa8aWV1fV6sdt8wFGt5Ufv5lVa3fvNVgkqec2jrFM6N6qWrmZfR0N3FNV1yZ5cQvl/QqDRZIGoMVZYS8EXpHkZcAOwC5JPk5z996mtTLt3Xsn4RiLJA1AW2MsVXVmVe1TVfsBJwCXVdVraPHuvfOixfLoo49y8MEHd12GWvLggw+yatWqrst4zJIlSzj88MO7LkMDdOWVV7a2rzk4j6W1u/fOi2BZtGgRa9eu7boMteTZz342N9xwQ9dlPOYZz3gG73//+7suQwvYVo6xTKyqrgCuaF7/iJbu3jsvgkWS5rshnXlvsEjSABgskqRWGSySpNZ4a2JJUusMFklSqwwWSVKrZmO68WwZTqWSpEGwxSJJPTe0wfvetliSHJnk5iS3JpnxDWckaT6YhRt9zZpeBkuSxcCHgKOAA4FXJzmw26okqTsGy7Y7BLi1qr5XVb8ALmB0dzNJWpCGFCx9HWPZG7hjbHk9cOj4BklWAasAli9fPneVSdIcm62LUM6WvlY6VezWJgtVq6tqZVWt3HnnnafYXJLmjyG1WPoaLOuBfceW9wHu7KgWSdJW6GuwfAM4IMn+SZ7A6C5nF3dckyR1Zkgtll6OsVTVw0lOBb4ILAbOq6rrOy5LkjrTl9CYRC+DBaCq/gH4h67rkKQ+MFgkSa0Z2qwwg0WSBsAWiySpVQaLJKlVQwqW4XTaSZIGwRaLJPVcn85RmYTBIkkD4KwwSVKrbLFIklplsEiSWjO0MZbhdNpJkgbBFoskDcCQWiwGiyQNgMEiSWqVwSJJapXBIklqjbPCJEkLmsEiSQPQ1j3vk+yb5PIkNya5PsnpzfrdklyS5JbmedlMazVYJGkA2goW4GHgLVX1TOAw4I1JDgTOAC6tqgOAS5vlGTFYJGkA2gqWqtpQVd9sXv8MuBHYGzgGWNNstgY4dqa1OngvSQOwFYP3uye5Zmx5dVWtnmaf+wHPBa4C9qyqDTAKnyR7zLRWg0WSem4rZ4XdW1UrJ9jnTsDfAW+qqn9tc9aZXWGStMAk2Y5RqHyiqj7TrL47yYrm/RXAPTPdv8EiSQPQ4qywAOcCN1bVX429dTFwUvP6JOCimdZqV5gkDUCLd5B8IfBa4DtJ1jbr3g6cBVyY5GRgHXDcTL/AYJGkBaSqvgZM17Q5oo3vMFgkaQC8pMsWJDmuOePz0SQrH/femUluTXJzkpd2UZ8k9cmk4yt9CZ+uWizXAa8Czhlf2Zz9eQLwLGAv4MtJfr2qHpn7EiVJM9FJsFTVjTBl0+4Y4IKqegi4LcmtwCHAlXNboST1S19aI5Po2xjL3sDXx5bXN+t+RZJVwCqA5cuXz35lktShFmeFzbpZC5YkXwaeMsVb76iq6eZHTxXJNdWGzSUKVgPsv//+U24jSZp7sxYsVfWSGXxsPbDv2PI+wJ3tVCRJwzWkrrC+ta0uBk5Isn2S/YEDgKs7rkmSOjW0WWFdTTd+ZZL1wG8Cn0vyRYCquh64ELgB+ALwRmeESdKwdDUr7LPAZ6d5793Au+e2Iknqt760RibRt1lhkqQpGCySpFYNKVj6NngvSRo4WyyS1HN9mvE1CVsskqRW2WKRpAEYUovFYJGkARhSsNgVJklqlS0WSRoAWyySpAXLFoskDYAtFknSgmWLRZJ6zhMkJUkLmi0WSRoAWyySpAXLFoskDYAtFknSgmWLRZIGYEgtFoNFkgZgSMFiV5gkqVW2WCSp5zxBUpK0oNlikaQBGFKLxWCRpAEYUrDYFSZJC0ySI5PcnOTWJGe0vX+DRZIGYOMA/pYeE+xnMfAh4CjgQODVSQ5ss1aDRZIWlkOAW6vqe1X1C+AC4Jg2vyBV1eb+OpHkh8DtE2y6O3DvLJfThiHUOYQaYRh1DqFGsM6ZeFpVPXlbd5LkC4z+XJPYAXhwbHl1Va0e29fvAUdW1R80y68FDq2qU7e1zo3mxeD9pH9xSa6pqpWzXc+2GkKdQ6gRhlHnEGoE6+xSVR3Z4u6m6i9rtYVhV5gkLSzrgX3HlvcB7mzzCwwWSVpYvgEckGT/JE8ATgAubvML5kVX2FZYveVNemEIdQ6hRhhGnUOoEaxzXqiqh5OcCnwRWAycV1XXt/kd82LwXpLUH3aFSZJaZbBIklo1r4MlyelJrktyfZI3Nes+mWRt8/h+krU9rPHgJF9varwmySFd1tjUNFWdz0lyZZLvJPk/SXbpoK7zktyT5LqxdbsluSTJLc3zsrH3zmwuY3Fzkpf2rcYky5NcnuT+JGfPRX0zrPM/Jbm2+bu/NsnhPazxkLF/699O8sq5qFFAVc3LB3AQcB2wI6NJCl8GDnjcNn8J/GnfagS+BBzVbPMy4Io+/iwZzS757Wab1wN/1kFtLwKeB1w3tu69wBnN6zOA9zSvDwS+DWwP7A98F1jcsxqXAv8ROAU4u8c/y+cCe439fvyghzXuCCxpXq8A7tm47GN2H/O5xfJM4OtV9fOqehj4CvDYEUtGF9U5Hji/o/pg+hoL2Hj0vystzzGfgenqfAbw1WabS4DfnevCquqrwI8ft/oYYE3zeg1w7Nj6C6rqoaq6DbiV0eUtelNjVT1QVV9j0zOn58RW1vmtqtr4e3k9sEOS7XtW48bfVxidje5MpTkyn4PlOuBFTdfCjoyO/MdPCvot4O6quqWT6kamq/FNwF8kuQN4H3BmdyUC09d5HfCKZpvj2PTn26U9q2oDQPO8R7N+b+COse3WN+u6MF2NfTNJnb8LfKuqHprTyv7NtDUmOTTJ9cB3gFPGgkazaN4GS1XdCLyH0ZH0Fxh1gYz/Ur2ablsrm6vxvwJvrqp9gTcD53ZWJJut8/XAG5NcC+wM/KKzIicz65eyWGiSPIvR78Yfdl3LVKrqqqp6FvB84MwkO3Rd00Iwb4MFoKrOrarnVdWLGDWfbwFIsgR4FfDJLuuDaWs8CfhMs8mnmIPumi2Zqs6quqmqfqeqfoNRSH+32yofc3eSFQDN8z3N+lm/lMVWmK7Gvpm2ziT7AJ8FTqyqLv/ut/izbA6OHmA0HqRZNq+DJckezfNTGQXJxhbKS4Cbqmp9V7VtNE2NdwK/3WxyOE0gdmmqOsfWLQL+BPif3VW4iYsZhTPN80Vj609Isn2S/RlNQLi6g/o21jJVjX0zZZ1JngR8Djizqv6pm9IeM12N+zcHkSR5GqMxwe93UeCC0/Xsgdl8AP8I3MCo6+aIsfUfY9Tf2ssaGc0KurZZdxXwGz2t83Tg/zaPs2iu5DDHdZ0PbAB+yahFcjKwHLiUUSBfCuw2tv07GLWsbqaZedfDGr/PqFV4f7P9gX2rk9GBxAPA2rHHHj2r8bWMJhasBb4JHDvXv58L9eElXSRJrZrXXWGSpLlnsEiSWmWwSJJaZbBIklplsEiSWmWwSJJaZbBIklplsEhAkucn+ZckOyRZ2tx3xst/SDPgCZJSI8mfM7q8+hOB9VX13zsuSRokg0VqJHkCo5uXPQi8oKoe6bgkaZDsCpP+zW7AToxuAeDl1aUZssUiNZJcDFzA6LbFK6rq1I5LkgZpSdcFSH2Q5ETg4ar630kWA/+c5PCquqzr2qShscUiSWqVYyySpFYZLJKkVhkskqRWGSySpFYZLJKkVhkskqRWGSySpFb9f+pK0CdIw4boAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "histogram = h2(x, y, \"quantile\", bin_count=[3, 4], name=\"Quantile bins\", axis_names=[\"x\", \"y\"])\n", "histogram.plot(cmap_min=0);\n", "histogram.numpy_bins" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96., 98., 100., 102., 104.]),\n", " array([-20., -10., 0., 10., 20., 30., 40., 50.])]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "histogram = h2(x, y, \"human\", bin_count=5, name=\"Human-friendly bins\", axis_names=[\"x\", \"y\"])\n", "histogram.plot();\n", "histogram.numpy_bins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting\n", "\n", "### 2D" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Default is workable\n", "ax = histogram.plot()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Custom colormap, no colorbar\n", "import matplotlib.cm as cm\n", "fig, ax = plt.subplots()\n", "ax = histogram.plot(ax=ax, cmap=cm.copper, show_colorbar=False, grid_color=cm.copper(0.5))\n", "ax.set_title(\"Custom colormap\");" ] }, { "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": [ "# Use a named colormap + limit it to a range of values\n", "import matplotlib.cm as cm\n", "fig, ax = plt.subplots()\n", "ax = histogram.plot(ax=ax, cmap=\"Oranges\", show_colorbar=True, cmap_min=20, cmap_max=100, show_values=True)\n", "ax.set_title(\"Clipped colormap\");" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Show labels (and hide zero bins), no grid(lw=0)\n", "ax = histogram.plot(show_values=True, show_zero=False, cmap=cm.RdBu, format_value=float, lw=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Large histograms as images\n", "\n", "Plotting histograms in this way gets problematic with more than roughly 50x50 bins. There is an alternative, though, partially inspired by the `datashader` project - plot the histogram as bitmap, which works very fast even for very large histograms.\n", "\n", "**Note**: This method does not work for histograms with irregular bins." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "x = np.random.normal(100, 1, 1000000)\n", "y = np.random.normal(10, 10, 1000000)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "h2(x, y, 20, name=\"20 bins - map\").plot(\"map\", cmap=\"rainbow\", lw=0, alpha=1, ax=axes[0], show_colorbar=False)\n", "h2(x, y, 20, name=\"20 bins - image\").plot(\"image\", cmap=\"rainbow\", alpha=1, ax=axes[1])\n", "h2(x, y, 500, name=\"500 bins - image\").plot(\"image\", cmap=\"rainbow\", alpha=1, ax=axes[2]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See that the output is equivalent to map without lines." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transformation\n", "\n", "Sometimes, the value range is too big to show details. Therefore, it may be of some use to transform the values by a function, e.g. logarithm." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "h2(x, y, 20, name=\"20 bins - map\").plot(\"map\", alpha=1, lw=0, show_zero=False, cmap=\"rainbow\", ax=axes[0], show_colorbar=False, cmap_normalize=\"log\")\n", "h2(x, y, 20, name=\"20 bins - image\").plot(\"image\", alpha=1, ax=axes[1], cmap=\"rainbow\", cmap_normalize=\"log\")\n", "h2(x, y, 500, name=\"500 bins - image\").plot(\"image\", alpha=1, ax=axes[2], cmap=\"rainbow\", cmap_normalize=\"log\");" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Composition - show histogram overlayed with \"points\"\n", "fig, ax = plt.subplots(figsize=(8, 7))\n", "h_2 = h2(x, y, 30)\n", "h_2.plot(\"map\", lw=0, alpha=0.9, cmap=\"Blues\", ax=ax, cmap_normalize=\"log\", show_zero=False)\n", "# h2(x, y, 300).plot(\"image\", alpha=1, cmap=\"Greys\", ax=ax, transform=lambda x: x > 0);\n", "# Not working currently" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D\n", "\n", "By this, we mean 3D bar plots of 2D histograms (not a visual representation of 3D histograms)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "histogram.plot(\"bar3d\", cmap=\"rainbow\");" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "histogram.plot(\"bar3d\", color=\"red\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Projections" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram1D('Projection to X', bins=(4,), total=1000, dtype=int64)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "proj1 = histogram.projection(\"x\", name=\"Projection to X\")\n", "proj1.plot(errors=True)\n", "proj1" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram1D('Projection to Y', bins=(7,), total=1000, dtype=int64)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "proj2 = histogram.projection(\"y\", name=\"Projection to Y\")\n", "proj2.plot(errors=True)\n", "proj2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adaptive 2D histograms" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create and add two histograms with adaptive binning\n", "height1 = np.random.normal(180, 5, 1000)\n", "weight1 = np.random.normal(80, 2, 1000)\n", "ad1 = h2(height1, weight1, \"fixed_width\", bin_width=1, adaptive=True)\n", "ad1.plot(show_zero=False)\n", "\n", "height2 = np.random.normal(160, 5, 1000)\n", "weight2 = np.random.normal(70, 2, 1000)\n", "ad2 = h2(height2, weight2, \"fixed_width\", bin_width=1, adaptive=True)\n", "ad2.plot(show_zero=False)\n", "\n", "(ad1 + ad2).plot(show_zero=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## N-dimensional histograms\n", "\n", "Although is not easy to visualize them, it is possible to create histograms of any dimensions that behave similar to 2D ones. Warning: be aware that the memory consumption can be significant." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/honza/code/my/physt/physt/util.py:74: FutureWarning:\n", "\n", "histogramdd is deprecated, use h instead\n", "\n" ] }, { "data": { "text/plain": [ "HistogramND(bins=(3, 2, 2, 3), total=1000, dtype=int64)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a 4D histogram\n", "data = [np.random.rand(1000)[:, np.newaxis] for i in range(4)]\n", "data = np.concatenate(data, axis=1)\n", "h4 = histogramdd(data, [3, 2, 2, 3], axis_names=\"abcd\")\n", "h4" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[[31, 28, 33],\n", " [21, 22, 22]],\n", "\n", " [[25, 29, 28],\n", " [29, 35, 28]]],\n", "\n", "\n", " [[[20, 25, 20],\n", " [28, 32, 31]],\n", "\n", " [[30, 28, 24],\n", " [29, 21, 27]]],\n", "\n", "\n", " [[[27, 26, 33],\n", " [21, 35, 30]],\n", "\n", " [[38, 30, 32],\n", " [25, 30, 27]]]])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h4.frequencies" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h4.projection(\"a\", \"d\", name=\"4D -> 2D\").plot(show_values=True, format_value=int, cmap_min=\"min\");" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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GU7x19Sn63wbctpCiJElyJQlJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSk5YvZOckTwDfBk4Ax6tqMslLgY8Da4EngF+uqm8urExJ0rhZjCuoX6qqDVU12W3fDOypqnXAnm5bkqR5WYpbfFuAnd3rncC1S/AZkqQRt9CAKuB/JtmbZHvXdnFVPQXQPV+0wM+QJI2hBY1BAa+qqiNJLgLuTfKVQXfsAm07wGWXXbbAMiRJo2ZBV1BVdaR7Pgp8CtgIPJ1kFUD3fPQU++6oqsmqmpyYmFhIGZKkEXTGAZXkx5Kc//xr4J8BjwD3ANu6btuAuxdapCRp/CzkFt/FwKeSPH+c/1FVf57kS8DuJDcAh4A3LLxMSdK4OeOAqqqvAq+Ypf3rwNULKUqSJFeSkCQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNWnJAirJNUkOJDmY5Oal+hxJ0mhakoBKsgz4feC1wHrgjUnWL8VnSZJG01JdQW0EDlbVV6vq/wK7gC1L9FmSpBG0fImOuxp4sm97GviF/g5JtgPbu81nkxxYolpG1YXA14ZdxIuM52z+PGfz5zmbv384W+NSBVRmaasf2qjaAexYos8feUmmqmpy2HW8mHjO5s9zNn+es8WzVLf4poFL+7bXAEeW6LMkSSNoqQLqS8C6JJcn+VFgK3DPEn2WJGkELcktvqo6nuQm4NPAMuCOqtq/FJ81xrw9On+es/nznM2f52yRpKrm7iVJ0lnmShKSpCYZUJKkJhlQjZtryagk/zrJQ93j80leMYw6WzLoMltJfj7JiST/8mzW16JBzlmSTUn2Jdmf5H+f7RpbM8Df5o8n+eMkf9Wds18bRp0vZo5BNaxbMuqvgX9Kb+r+l4A3VtWjfX3+MfBYVX0zyWuBW6vqF2Y94BgY5Jz19bsX+D69STyfONu1tmLA37OVwOeBa6rqUJKLquroMOptwYDn7J3Aj1fVO5JMAAeAn+hW19EAvIJq25xLRlXV56vqm93mF+j9P2fjbNBltv4d8ElgbP8j22eQc/avgDur6hDAOIdTZ5BzVsD5SQKcB3wDOH52y3xxM6DaNtuSUatP0/8G4M+WtKL2zXnOkqwGrgM+eBbratkgv2cvBy5Icl+SvUl+9axV16ZBztl/A36S3iIFDwNvqarnzk55o2GpljrS4phzyaj/3zH5JXoB9U+WtKL2DXLO/ivwjqo60fvH7dgb5JwtB34OuBpYAfxlki9U1V8vdXGNGuScbQb2Aa8GXgbcm+SzVfWtJa5tZBhQbRtoyagkPwN8GHhtVX39LNXWqkHO2SSwqwunC4HXJTleVXedlQrbM8g5mwa+VlXfAb6T5H7gFfTGYcbRIOfs14D3VG+g/2CSx4F/BDxwdkp88fMWX9vmXDIqyWXAncD1Y/yv2X5znrOquryq1lbVWuATwL8d43CCwZYmuxv4xSTLk/w9et9O8NhZrrMlg5yzQ/SuOElyMXAF8NWzWuWLnFdQDTvVklFJ3ty9/0Hgt4B/ANzeXREcH+eVlAc8Z+ozyDmrqseS/DnwEPAc8OGqemR4VQ/XgL9n7wY+muRhercE31FVfg3HPDjNXJLUJG/xSZKaZEBJkppkQEmSmmRASZKaZEBJkppkQEmNSHJrkt8cdh1SKwwoSVKTDChpiJL8h+47hT5Db6UBSR1XkpCGJMnP0Vsi5yp6f4sPAnuHWpTUEANKGp5fBD5VVd8FSHLyWm7SWPMWnzRcrjUmnYIBJQ3P/cB1SVYkOR/458MuSGqJt/ikIamqB5N8nN6X2v0t8NnhViS1xdXMJUlN8hafJKlJBpQkqUkGlCSpSQaUJKlJBpQkqUkGlCSpSQaUJKlJ/w9oNzONijw0GQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h4.projection(\"d\", name=\"4D -> 1D\").plot(\"scatter\", errors=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Support for pandas DataFrames (without pandas dependency ;-))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "# Load notorious example data set\n", "import seaborn as sns\n", "iris = sns.load_dataset('iris')" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "iris = sns.load_dataset('iris')\n", "iris_hist = physt.h2(iris[\"sepal_length\"], iris[\"sepal_width\"], \"human\", bin_count=[12, 7], name=\"Iris\")\n", "iris_hist.plot(show_zero=False, cmap=cm.gray_r, show_values=True, format_value=int);" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "iris_hist.projection(\"sepal_length\").plot();" ] } ], "metadata": { "kernel_info": { "name": "python3" }, "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": "3.8.5" }, "nteract": { "version": "0.9.1" } }, "nbformat": 4, "nbformat_minor": 1 }