{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# 2D Histograms in physt" ] }, { "cell_type": "code", "execution_count": 1, "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", "import seaborn as sns\n", "%matplotlib inline\n", "\n", "np.random.seed(42)" ] }, { "cell_type": "code", "execution_count": 2, "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": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram2D('Some histogram', bins=(8, 4), total=1000, dtype=int64)" ] }, "execution_count": 3, "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": 4, "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]], dtype=int64)" ] }, "execution_count": 4, "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": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96., 98., 100., 102., 104.]),\n", " array([-20., -10., 0., 10., 20., 30., 40., 50.])]" ] }, "execution_count": 6, "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": 7, "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": 7, "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, \"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": 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", 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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": null, "metadata": {}, "outputs": [], "source": [ "# Default is workable\n", "ax = histogram.plot()" ] }, { "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": [ "# 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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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Kyuaqyy+hzcklq6jG0QGHFY4gTZww3nWE0Mlrn5T2YprD9k3h9Ovbu8R2TxbC02MqGtZUZYwxrkXZoyra8yAi8icRWSUiK0VkooiUF5GaIjJHRNb6P4vcF9wKhzHGOJYzrHoQFwCKSENgLNBJVdsCiXh3Wb0VmKuqzYG5/vMiscJhjDEhEPCQI0lABRFJAioCm4CBwAR/+QRgUFGzWuEwxpgQKERTVS0RWRIxjY7cjqqmAQ/g3Xo7Hdilqu8CdVU13V8nHahDEdnJcWOMCYFCnBvfqqqd8t2Od+5iINAE2Am8JiKB9rqwwmGMMY4JkBD1FYDHvJbjXGCdqv4EICJvAN2AzSJSX1XTRaQ+sKWoea2pyhhjXAt2XPUfgK4iUlG8YRl6AauBacBIf52RwFtFjWtHHMYYEwJBjbyjqotEZAqwDMgEPgfGA5WBySIyCq+4DC3qazgrHCJSHvgQKOfnmKKqd4pITeBVIAVYDwxT1R2uchpjTCwEOWabqt4J3HnU7EN4Rx/HzWVT1SGgp6qeCrQH+opIVwLsa2yMMfFBEIluCgNnhUM9e/2nZfxJCbCvsTHGxIUgrwCMAafnOEQkEVgKNAMe99vmjuhrLCJ59jX2+y6PBmhUuyrZ8x6NVey4k735W3T6P1zHCC3dsxlm3us6RmjpwT32+SpmhetV5Z7TwqGqWUB7EakOTBWRtoX43fF4J3zo1KqxJvQcWzwhS4BDT/6G7e8VuQNFiVe7w2lkfL3AdYzQKv+rwdjnKz9/D2xLYWmGikYoDnxUdScwH+iL39cY4Hj7GhtjTFyI9vZ/IaktzgqHiNT2jzQQkQp4F618TYB9jY0xJl7E08lxl01V9YEJ/nmOBGCyqk4XkQUE1NfYGGPiRUhqQlScFQ5VXQF0yGP+NgLqa2yMMfHAu3A8fiqHXTlujDGuiSDWq8oYY0xh2BGHMcaYQomjumGFwxhjQiGOKocVDmOMCYE4qhtWOIwxxjXvVhvxUzmscAToqqvHMn3WHOrUrsXKJR+5juNcUv3m1Bj74s/P66Swe8o/SKhYjUo9ryRr91YAdr96F4eWv+MqplM7D2Yz5p1tfLUtAwGe7FuLx5fu5pvthwHYdSibauUSWDiygdugjh08eJCz+gzg0KEMMrMyGTLoQu6+4xbXsQJlY1WVUleMGM61vx/F5b+71nWUUMhMX8tPt53uPZEE6j3xLQc/m0bFsy9j78zH2DvjEbcBQ+Cmedvp3aQ8rwysTUaWsv+w8uKFtXOX3/r+dqqVC8XIQE6VK1eOeTPfoHLlyhw+fJgzzu3P+X160bVLvrfejjNR390vFOwdGaCzzuhGzZo1XMcIpXJtzyFz8/dkbd3oOkpo7D6UzSepBxnZrjIAZROF6uV//kiqKm98s5+hrSu5ihgaIkLlyt5+Onz4MIcPH46rpp1oBHfn2OJnhcPERIVuQzjw6Wu5zyud93vq/GsR1X//JFKpurtgDq3blUmtion8fvY2Tn9xE394Zxv7MrJzl3+Seog6FRNpVqOMw5ThkZWVRfuuPaiT0prePXvwq84dXUcKjsTXWFVWOEzxSyxD+Y79OLBoKgD73nuWzde1ZcutXcne8SPVRtznOKAbWdnK8s0Z/K59FRZc3oCKZYQHF+/OXf7a1/sY2sqONnIkJiayfOF8Ur9ZweKly1i5arXrSIHxhhwJ5ohDRFqKyPKIabeIXC8iNUVkjois9X8WuXnECocpduXb9+Hwui/I3uWNkJ+9awtoNqiyb94LlD2ppLRTF06DKkk0rJJI5/rlABjcoiLLN2cAkJmtvLV2P0NaVXQZMZSqV69GjzO7M3vOPNdRghVQ5VDVNaraXlXbAx2B/cBUArwttxUOU+wqdBt6RDNVQvV6uY/Ldx7A4Y2rXMRyrl6lRJKrJOX2oJq/4SCtTvCapeZtOEjLmmVoWMX6rwD89NNWdu7cBcCBAwd47/0PaNWyueNUwUpIkKimQuoFfKeqGwjwttz2rgzQJSNHM/+jT9i6bTvJzU/h7jtuZtTIEa5jOSVlK1C+XU92PvvzHeSq/eYflGl8CqBk/rThiGWlzQO9anLVjK1kZClNqifxVN8TAJhizVRHSP9xMyNHX0tWVjbZ2dkMu3gg/c/v4zpWcIrvOo7hwET/cVS35Y6GFY4ATZww3nWE0NGMA6SPbnTEvB1P/NZRmvA5tU5ZPr6s/i/mjz+/loM04XVKuzZ8vuB91zGKV/R1o5aILIl4Pt6/lfaRmxMpCwwAbjv+cEeywmGMMY4JgiREfeZgq6pGc2LwfGCZqm72n28Wkfr+0cZx3ZbbznEYY0wYBH8hxyX83EwFAd6W2wqHMca4FmR/XEBEKgK9gTciZo8DeovIWn/ZuKLGtaYqY4xxTpCExMC2pqr7gROOmhfYbbmtcBhjTBiE5KrwaFjhMMaYEAjLcCLRsMJhjDGuiYDEzylnZ0lF5EQReV9EVovIKhG5zp8f2HgqxhgTLyRBoprCwGWJywRuVNXWQFdgjIicTIDjqRhjTNyIo3HVnTVV+Ze+51z+vkdEVgMN8cZT6eGvNgGYD5SsW30ZY0wkCbZXVXELxTkOEUkBOgCLiHI8FREZDYwGaFS7KtnzHo1R2viTeWg/FVu2cx0jtA5lZCA1k13HCK3sfTvAPl/FLyRHE9FwXjhEpDLwOnC9qu6OtmeBPzbLeIBOrRprQs/SO1Desfy09FNenPSB6xihNax/ByZPX+Q6RmjdfGcnKtrnKx9/D25TVjiiIyJl8IrGK6qac4VjYOOpGGNMPPAuHLdeVcck3qHFc8BqVX0oYlFg46kYY0x8iPLEeEiOSlwecXQHLgO+FJHl/ry/4I2fMllERgE/AEPdxDPGmBgRQtPVNhoue1V9TP4j0AcynooxxsQN61VljDEmemJDjhhjjCmEnGHV44QVDmOMCYM46lVlhcMYY0LAmqqMMcYUgoD1qjLGGBM1wcaqKs3+89+neHbCywhCuzateeHpRylfvrzrWDE18N5naNGjH/u2beGJAR0AGPLQK9Rq0hKA8lWrcXD3Lp4a3InqDRszZsaXbFv3DQCpXyxi+l1jnGUvbnntmx7X/pXTho5i//atAMz9zx2s/XA2AHVbtKP/PU9QrlIVVJVnhnQlM+OQs/wulfjPljVVlU5pm9J59Mln+Grpx1SoUIFhl41i0mtTueKyS1xHi6nlUyew+JUnGDzu+dx5U264NPdxn1vu59CeXbnPd/zwHU8N7hTTjK7ktW8AFk54hE+f/88R8xISE7no3xN44+Yr2LxmBRWq1yQr83As44ZGSf9sScDdcUWkOvAs0BZQ4CpgDfAqkAKsB4ap6o6ibD9+TuPHiczMTA4cOEhmZib79x+gQf16riPF3IYlH3Ng1/Z8l7fpO4QvZ7waw0Thcax9E+mk7r3ZvOZLNq9ZAcCBndvR7OzijBdqJf6zJQnRTdF5BJitqq2AU4HVBHivo2OmEJFr7S580WnYoD5/vu4PNGrVnvontaVa1ar0Ofcc17FCpXGnM9i3bQvbN3ybO696chN+/8ZnXPHSXBp17O4wnTtdLv0D17y1jIH3PkP5qtUBOCGlBarKiGdn8PvXF9N91I1uQzpU4j9bOddxBDBWlYhUBc7CGwsQVc1Q1Z149zqa4K82ARhU1LjRlK96wGciMllE+ko89RmLsR07dvLW9NmsW7WUTd9+yb79+3l54muuY4VK2wuG8+WMSbnP92xJ5z89m/L0RZ15Z9xNXPzAS5SrVMVhwtj7bOLTPNK7JU8N6sien9I575Z/A5CQlEijjt1448+X8/ylZ9Oq9yCadC1BX5aFUBo+WyIS1QTUEpElEdPoozbVFPgJeEFEPheRZ0WkEkfd6wjI815H0Thm4VDVO4DmeNXrCmCtiPxTRE4q6ouWVO+9/wFNUhpRu3YtypQpw0UDLuDTRZ+5jhUaCYmJtO49iFUzf/7AZx3O4MBOr+kmfdUydmz8nhOatHAV0Yl927ag2dmoKstee46G7bzzPbt/TGPDZx+xf+c2Dh88wNoPZlH/5A6O07pR8j9bAomJ0U2wVVU7RUzjj9pYEnAa8KSqdgD2EfAtuKNqMFNVBX70p0ygBjBFRO4PMky8a3RiMgs/W8r+/ftRVebO/5DWLZu7jhUaTU/vxdZ1a9i9OS13XsUatZAE721YI7kJNRs3Y8fG711FdKJy7Z/b6ludO4gta1cB8O3H71K3RTvKlK9AQmIiKZ3P4qfvVruK6VSJ/2wJQZ7jSAVSVTXn7mRT8ArJZv8eRxzvvY6O2atKRMbi3RdjK95Z+ptU9bB4dx1ZC9xc1BcvaX7VuSNDBl3Iad17kZSYRIdT2zH6qstdx4q5ix98iZTOZ1OxRi1umL+O9/97D5+//gJtL/g1K6cfeVK8ceczOeePd5KdlYVmZTH9rjEc2FWkjh5xIa99k9LlbOq1PhVU2Zm2nrfv/AMAB3fvZMH/PczvXlsAqqz9cDZrP5jl+F/gRsn/bAV3rw1V/VFENopIS1Vdgzfa+Ff+NBLv1hXHda8j8Q4mClhB5B7gOVXdkMey1qrq/E+gTq0a65JlS13HCK3v/z2cFyfarWPz49069nPXMULr5jvHUHHgHa5jhJJUqr1UVY+7L3mnRlV18U1dolo3cezcY76miLTH+0O/LPA9cCVeC9NkoBH+vY5UNboufkc55hGHqv6tgGXOi4YxxpQIAfY7UtXlQF7FJZB7HdkFgMYY45zY6LjGGGMKQbA7ABpjjCmkOLpEzgqHMcY4F1yvqliwwmGMMWFg5ziMMcZEze45bowxpnDiq1eV06Qi8ryIbBGRlRHzaorIHBFZ6/+0kXmNMSVfQmJ0Uwi4LnH/B/Q9al5gY8YbY0x8iHJI9ZA0ZzktHKr6IXD0Je+BjRlvjDFxIdhBDotdGM9xHDFmvIjkOWa8Pwb9aIBGtauSPe/RGEaML+Wz9zOsf+kcjjsalctk2/4pQNLBHfb5ioWQHE1EI4yFIyr+GPTjwRvkMKHnWMeJwuvg0k+ZPN0GOcyPDXJYsJs7dqOsfb7y8feAtmMnx49XYGPGG2NM3LBzHMdlGt5Y8XCcY8YbY0xcyBmrKk56VTltqhKRiUAPvHvopgJ34t1kZLKIjMIfM95dQmOMiYX4aqpyWjhU9ZJ8FgUyZrwxxsSNkDRDRSNuT44bY0yJYkccxhhjohaiE9/RsMJhjDFhEOARh4isB/YAWUCmqnYSkZrAq0AKsB4Ypqo7irL9+Dk2MsaYkiwxIbopeueoantVzbn3eGDDOVnhMMYY10RiMeRIYMM5WeEI0JpvvqV91x65U9V6TXj4sadcx4q5gfc+w02fpPGHab+8GrvbVX/irq8PU7H6CQAklinDwH8+yzXTPufqN5eS0uWsWMeNqbz2zZCHXuHqqUu4euoSrp+7lqunLgGgYbvOufOvfnMprc4d6Cp2KDzy+NO07XQmbTqdUTI/V8FeAKjAuyKy1B+eCY4azgnIczinaNg5jgC1bNGM5QvnA5CVlUXDZu0YPOACt6EcWD51AotfeYLB454/Yn7Vesk07XYuO9M25M47behvAXhyQAcq1azNpc9M55khXVHVmGaOlbz2zZQbLs193OeW+zm0ZxcAW9auZPyQX5GdlUXl2vW45s2lfPP+dLKzsmKe27WVq1bzzAsvs/jDdyhbtix9B/6aC/r2pnmzk1xHC070RxO1RGRJxPPx/hBMkbqr6iZ/rL85IvJ1IBl9dsRRTOa+/yEnNU2hcaMTXUeJuQ1LPubArqMHPYa+tz3AnH/fhvfHkKf2Sa1Zt2AeAPu2/8TB3Ttp0LbTL363pMhv3+Ro03cIX854FYDDBw/kFomksuVLbDGNxuo139C1S0cqVqxIUlISZ5/ZjanTZrqOFaBCNVVtVdVOEdPRRQNV3eT/3AJMBboQ4HBOVjiKyaQpU7lk6EWuY4RGy3P6s3vzJjavWXHE/M1rVtCy14UkJCZSvWEKDdqcRtX6yY5SutW40xns27aF7Ru+zZ3X8JQu/OHt5fxh2udMv2tMqTzaAGh7cms+/GQB27ZtZ//+/cx85z02pqW5jhWsgM5xiEglEamS8xjoA6wkwOGcrKmqGGRkZDBt5jvcd/cdrqOEQpnyFTjz6tt4adT5v1j2+esvUKtpK0ZPWcTOTRvY+PkCsjMzHaR0r+0Fw/lyxqQj5qWtWMwTF7anVtNWDB73PN9+OJvMjEOOErrTulULbrnhj/S+cAiVK1fi1HZtSEosQV9fIkGOQ1UXmCre+ZAk4H+qOltEPiOg4ZxK0J4Pj1nvzuW0U0+hbt0in3sqUWo0OokaySlc89ZSAKrWTeb3byzmmWHd2Lt1M++M+3PuuqMmfnjEX9ylRUJiIq17D2L8xb/Kc/nW778m48A+6rRoy6aVS2OcLhxGjRzBqJEjAPjLnf8guWEDx4kCFtB1HKr6PXBqHvO3EdBwTlY4isHE197gkqGDXccIjS3frOTf3RvmPr9+7lrGX9yV/Tu3UaZ8BRDh8IH9NO3Wi+zMTH76brXDtG40Pb0XW9etYffmn5tfqjdMYfePG8nOyqJag0bUatKCnanr3YV0bMuWn6hTpzY/bEzljWkzWDBvlutIwbIrx0uv/fv3M2feBzz96IOuozhz8YMvkdL5bCrWqMUN89fx/n/v4fPXX8hz3Uon1GHEszPQ7Gz2bN7EG7dcEduwMZbfvml7wa9ZOf3VI9Zt1LE7Z/zuJrIzM9HsbGbc/Uf279zmKLl7F196Jdu276BMUhkef+hf1KhR3XWkANnouKVaxYoV2bbxG9cxnHr9xssKXP5wr+a5j3embeCx89sWd6TQyG/fvHnbqF/MWzHtFVZMe6W4I8WNj+ZMdx2h+OTcczxOWOEwxhjn7IjDGGNMYYXk7n7RsMJhjDHO2RGHMcaYwhAgwQqHMcaYwrDuuMYYY6JnTVXGGGMKywqHMcaYqAU7VlWxC22JE5G+IrJGRL4VkSLf4tAYY+JC8d8BMDDhSHEUEUkEHgfOB04GLhGRk92mMsaYYmSF47h1Ab5V1e9VNQOYhHe/XGOMKYGivG1sSHpehfUcR0NgY8TzVOCI8ab9++iOBmhUuyrZ8x6NXbo4U61MJpcPyXu4bgOVEjK4bFBH1zFCK+nQDvt8FTcbqyoQeZXVI+6b6d8ucTxAp1aNNaHn2Fjkiks1dmygRvUTXMcIray1y6lUygemLEhi5dOxz1d+/h7cpqxwHLdUIPJm3cnAJkdZjDGmmFmvqiB8BjQXkSYiUhYYjne/XGOMKZni6OR4KI84VDVTRK4F3gESgedVdZXjWMYYUzzErhwPhKrOBGa6zmGMMTGREGyPKf+yhiVAmqr2F5GawKtACrAeGKaqO4qy7fgpccYYU5IF31R1HbA64vmtwFxVbQ7M9Z8XiRUOY4xxTgItHCKSDFwAPBsxeyAwwX88ARhU1LShbaoyxphSo3BjVdUSkSURz8f7lydEehi4GagSMa+uqqYDqGq6iNQpalwrHMYYEwpRn+PYqqqd8t2KSH9gi6ouFZEeAQT7BSscxhgTBsH1quoODBCRfkB5oKqIvAxsFpH6/tFGfWBLUV/AznEYY0wYBDRWlarepqrJqpqCdw3cPFUdgXct3Eh/tZHAW0WNaoUjYLPfnUvL9l1p1q4z4x54xHWcUMjKyqbjdS9z4T1vAvDFup/oftMkTv3jiwz4+5vs3n/IbUCHdh7MZsT0bZw2YTMdJ2xm0aZDrNiSwTmTttDt5S2c9b8tLPkxw3XM0MjKyqLD6efQ/+LfuI4SMMH7Oo5mKrJxQG8RWQv09p8XiRWOAGVlZTHmhluZNXUSXy39hImvTeWr1Wtcx3Lu0bc/p9WJNXOfj/7vHP458gy++O/lDOrajAfeWOownVs3f7CTc1PKs2xkXRaMqEPLmmX468e7ue1XVfl0RB1uP70qf/1ol+uYofHI4+Np3bKF6xjFoxhGx1XV+ara33+8TVV7qWpz/+f2oka1whGgxUuW0axpCk2bpFC2bFmGDxnEW9NnuY7lVOrWPcxcso5RvdvmzluTtoOz2jQEoHf7xryxYK2reE7tPpTNp2kZjGxTEYCyiUL18gkIsCcjO3ed+pXjZwyj4pSatokZs+fw2ytGuI4SPBGQxOimELDCEaC0TemcmNww93lywwakpac7TOTen56dz7grziQh4qrYto1PYNqi7wGY8sk3bNy6x1U8p9bvyqRWhQSufncn3V/Zwpg5O9h3OJtxPapxx8e7afXsj9z+0S7u6l7VddRQuP7m27n/3jtJSCihX1txdD+OEvo/4Iaq/mKehOQ/2oXpn31PnWoV6dis7hHznx3bhydmLqfzn15hz4EMyiaF46+oWMtUWL7lML89pRKfXFqHSmWEhz7by3Mr9jHurGp8/dt6jDu7GmPm7HQd1bnps96lTu3adOxwqusoxSeOCod1xw1QcsMGbExNy32emraJBvXqOUzk1qdfbeLtxd8za+l6DmZksnt/Bpc9OIuXbjyfd+65GIBv0nYwc8k6x0ndaFg5kYaVE+lcvywAA5tX4KHP9rBwUwb3n10NgMHNK3DtezsdpgyHTxYsYtqM2cx85z0OHjzI7j17GXHVNbz8/JOuowUofv6Oj5+kcaBzxw6s/W4d69ZvICMjg0lT3mTABX1dx3LmnyPP4IcXfsf3z47ifzf145xTTuSlG89ny879AGRnK/dOXsTovqc4TupG3UqJNKySyDfbDwPwwQ+HaHVCGepVSuTjVK8n1QcbD3FSdfv77r57/krq2hWsX72MSROeoefZZ5SwomG3ji21kpKSeOzB+zhv4DCysrK56vJLaHNyK9exQmfSh1/zxMwvABh8ejOuPLeN40TuPNCjGr+dvYOMbCWlahJP9qnBBU3Lc8sHu8jMVsonCo/2qu46pomFOBpWXfJql483nVo11iXLSm+XzmPJfv1GsFvH5itr7XIO2a1j81Wh+1AS+93uOkYoSaXaSwsa/iNando118VvRHdf98QW/QJ5zeNhRxzGGOOc3cjJGGNMIcVTD0wrHMYYEwp2xGGMMSZq4ekxFQ0rHMYYEwZWOIwxxkRNCM04VNGwwmGMMc7FV1OVk7MxIjJURFaJSLaIdDpq2W0i8q2IrBGR81zkM8aY2Cv2+3EExtURx0rgIuDpyJkicjLeHavaAA2A90SkhapmxT6iMcbEUBwdcTgpHKq6GvLstzwQmKSqh4B1IvIt0AVYENuExhgTS3YB4PFoCCyMeJ7qz/sFERkNjAZoVLsq2fOiu1y/VDq0H3a6DhFeklSGck1K50CLUTmw0z5fMWFHHIjIe0BeY4rfrqr53SQ9rz2X52BaqjoeGA/eWFUJPccWKWdpkD3vUWz/FMD2T4Hs/VOQvwezGQESgulVJSLlgQ+Bcnjf8VNU9U4RqQm8CqQA64FhqrqjKK9RbIVDVc8twq+lAidGPE8GNgWTyBhjwirQXlWHgJ6quldEygAfi8gsvPPKc1V1nIjcCtwK3FKUFwhbo9o0YLiIlBORJkBzYLHjTMYYEwMS5VQw9ez1n5bxJ8U7hzzBnz8BGFTUpK664w4WkVTgdGCGiLwDoKqrgMnAV8BsYIz1qDLGlAqSEN0EtURkScQ0+hebEkkUkeXAFmCOqi4C6qpqOoD/s05Ro7rqVTUVmJrPsnuBe2ObyBhjXIu6qWrrse7H4f/B3V5EqgNTRaTtcYY7QtiaqowxphQqnlvHqupOYD7QF9gsIvUB/J9biprWCocxxoRB9E1VBW9GpLZ/pIGIVADOBb7GO4c80l9tJJBf79ZjCtt1HMYYY45PfWCCiCTiHRxMVtXpIrIAmCwio4AfgKFFfQErHMYY45oQWHdcVV0BdMhj/jagVxCvYYXDGGNCwa4cN8YYEzUbVr1Um/3uXFq270qzdp0Z98AjruM4d9XVY6nTuDVtO52ZO++v99zHKV3Opn3XHvS5cCib0n90mDA8UlqfRrvOZ9G+aw86nVGUgRdKtpL/2QrmAsBYsMIRoKysLMbccCuzpk7iq6WfMPG1qXy1eo3rWE5dMWI4s9+cdMS8m66/lhWLP2D5wvn0P78399z3gKN04fP+rKksXzifJR+/5zpKqJSKz1ZAvapiIRwpSojFS5bRrGkKTZukULZsWYYPGcRb02e5juXUWWd0o2bNGkfMq1q1Su7jffv25zW8vjFHKBWfrWK4jqO4WOEIUNqmdE5M/nkU+OSGDUhLT3eYKLxuv+teTmxxKq+8+jr33FGkcdZKHBGhz4ChdOzei/HPv+g6TqiU/M9WtM1UVjhKHNVfjgBvf03n7d67bmfjN19w6a8v5rGnn3MdJxQ+mTuDZZ/OY9bUSTz+9PN8+PGnriOFRqn4bNkRR+mU3LABG1PTcp+npm2iQb28bklicvzm1xfz+pvTXccIhQb1vfdKnTq1GTygH4uXfO44UXiUjs+WHXGUSp07dmDtd+tYt34DGRkZTJryJgMu6Os6Vuis/fa73MfTZsymVctmDtOEw759+9izZ2/u43fnzqftya0cpwoP+2yFi13HEaCkpCQee/A+zhs4jKysbK66/BLalPIP/yUjRzP/o0/Yum07yc1P4e47bmbmO++x5pvvSEhIoHGjZJ561HpVbd7yE4OHXwFAZlYmvxl2EX37BHKRb4lQ4j9bAhKSHlPRsMIRsH59e9Ovb2/XMUJj4oTxv5g3auQIB0nCrWmTFL5YNN91jFAr2Z+t8Jy/iIYVDmOMCQUrHMYYYwrDjjiMMcYUjhUOY4wxhWFHHMYYY6ImEppxqKJhhcMYY0LBjjiMMcYURvzUDSscxhgTDvFTOZw0qonIv0XkaxFZISJTRaR6xLLbRORbEVkjIue5yGeMMTEX0CCHInKiiLwvIqtFZJWIXOfPrykic0Rkrf+zxrG2lR9XZ2PmAG1V9RTgG+A2ABE5GRgOtAH6Ak+ISKKjjMYYEyOBDqueCdyoqq2BrsAY/7v1VmCuqjYH5vrPi8RJ4VDVd1U103+6EEj2Hw8EJqnqIVVdB3wLdHGR0RhjYiqgOwCqarqqLvMf7wFWAw3xvl8n+KtNAAYVOWpe49zHkoi8Dbyqqi+LyGPAQlV92V/2HDBLVafk8XujgdH+07bAylhljkItYKvrEBEsT8EsT8HClCdMWQBaqmqVY69WMBGZjfdvi0Z54GDE8/Gq+stB4bztpgAf4n1H/qCq1SOW7VDVIjVXFdvJcRF5D8hrwPzbVfUtf53b8Q6rXsn5tTzWz7Oy+TtqvL+dJara6bhDB8TyFMzyFMzy5C9MWcDLE8R2VDXwMeJFpDLwOnC9qu4O8sZXxVY4VPXcgpaLyEigP9BLfz7sSQVOjFgtGdhUPAmNMaZkEpEyeEXjFVV9w5+9WUTqq2q6iNQHthR1+656VfUFbgEGqOr+iEXTgOEiUk5EmgDNgcUuMhpjTDwS79DiOWC1qj4UsWgaMNJ/PBJ4q6iv4eo6jseAcsAc//BpoaperaqrRGQy8BVeE9YYVc2KYnt5tu85ZHkKZnkKZnnyF6YsEL48AN2By4AvRWS5P+8vwDhgsoiMAn4Ahhb1BZyfHDfGGBNf4mdULWOMMaFghcMYY0yhxGXhEJHrRGSlfzn99RHz/+gPVbJKRO53lUVEXhWR5f60PqKd0VWe9iKy0M+zRERidlFlPnlOFZEFIvKliLwtIlWL8fWfF5EtIrIyYl6+Qy8U95A3hckjIif4Q0fs9a9xClwh8/QWkaX+/9tSEenpOE+XiM/ZFyIy2GWeiOWN/P+zPwedJzRUNa4mfr7YryLeyf338HpfneM/LuevV8dVlqPWeRD4m+N98y5wvr9OP2C+4zyfAWf761wF/L0YM5wFnAasjJh3P3Cr//hW4F/+45OBL/A6bjQBvgMSHeapBJwBXA08FoL90wFoEPF/m+Y4T0UgyX+c0700yVWeiOWvA68Bfy6u97XrKR6POFrj9cLar96wJR8Ag4FrgHGqeghAVYvcRzmALEBut7hhwMQYZCkojwI5f9VXI3bXxuSXpyXe1azgjVt2cXEFUNUPge1Hzc5v6IViH/KmMHlUdZ+qfsyRVwkHqpB5PlfVnPfOKqC8iJRzmCfnfQXe1dSB9/Qp5PsHERkEfI+3f0qseCwcK4Gz/MP4inh/QZ8ItADOFJFFIvKBiHR2mCXHmcBmVV0bgywF5bke+LeIbAQewB9U0mGelcAAf52hHLnPYqGuqqaDN64PUMef3xDYGLFeqj/PVR5XoslzMfB5zh9qrvKIyK9EZBXwJXB1RCGJeR4RqYR3fdrdMcjgVNzdj0NVV4vIv/D+Ut2L17SQifdvqYE3GmRnvP7KTdU/doxxlhyXELujjYLyXAP8SVVfF5FheBcHFXhlfzHnuQp4VET+hndRUkZxZ4lS1EPelGYi0gb4F9DHdRZVXQS0EZHWwAQRmaWqxXaEdgx3A/9R1b0SR/cPL4p4POJAVZ9T1dNU9Sy8w8i1eH8dvqGexUA20Q8aFnQWRCQJuAh4tbgzRJFnJJAz7MBrxHDE4bzyqOrXqtpHVTviFdbvYpXHt1m8IReQI4decDXkTX55XMk3j4gkA1OBy1U1Vv9vx9w/qroa2Id37sVVnl8B94vIeryj/L+IyLUxyBNzcVk4RCTn0LAR3pfzROBNoKc/vwVQlhiMoplPFvD+ov9aVVOLO0MUeTYBZ/ur9MQvbq7yRMxLAO4AnopVHl9+Qy+4GvImsKEgApJnHvFuuDYDuE1VPwlBnib+H2iISGO8c2frXeVR1TNVNUVVU4CHgX+qarH0hnPO9dn5okzAR3jDknyBN0gieIXiZbz282VAT1dZ/Pn/h9fmGoZ9cwaw1J+3COjoOM91eDfw+gZvGAQpxtefCKQDh/GOKEYBJ+DdyGat/7NmxPq34x0BrcHvieY4z3q8I7W9/vonu8qDV+T3AcsjpkB7LxYyz2V4J6GX+5/5Qa7/vyJ+7y5KcK8qG3LEGGNMocRlU5Uxxhh3rHAYY4wpFCscxhhjCsUKhzHGmEKxwmGMMaZQrHAYY4wpFCscxhhjCsUKhymVRKSziKwQkfIiUkm8+4XEYrgKY+KeXQBoSi0R+QfecNwVgFRVvc9xJGPighUOU2qJSFm8m0odBLqpapbjSMbEBWuqMqVZTaAyUAXvyMMYEwU74jCllohMAybh3Sa2vqqWyCGwjQla3N3IyZggiMjlQKaq/k9EEoFPRaSnqs5znc2YsLMjDmOMMYVi5ziMMcYUihUOY4wxhWKFwxhjTKFY4TDGGFMoVjiMMcYUihUOY4wxhWKFwxhjTKH8P3hYUEuoqDrQAAAAAElFTkSuQmCC\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": 11, "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": 12, "metadata": {}, "outputs": [], "source": [ "x = np.random.normal(100, 1, 1000000)\n", "y = np.random.normal(10, 10, 1000000)" ] }, { "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": [ "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": 14, "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": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "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": 16, "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": 17, "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": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram1D('Projection to X', bins=(4,), total=1000, dtype=int64)" ] }, "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": [ "proj1 = histogram.projection(\"x\", name=\"Projection to X\")\n", "proj1.plot(errors=True)\n", "proj1" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram1D('Projection to Y', bins=(7,), total=1000, dtype=int64)" ] }, "execution_count": 19, "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": 20, "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": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "HistogramND(bins=(3, 2, 2, 3), total=1000, dtype=int64)" ] }, "execution_count": 21, "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": 22, "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]]]], dtype=int64)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h4.frequencies" ] }, { "cell_type": "code", "execution_count": 23, "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": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\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": 25, "metadata": {}, "outputs": [], "source": [ "# Load notorious example data set\n", "iris = sns.load_dataset('iris')" ] }, { "cell_type": "code", "execution_count": 28, "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": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": "3.8.3" }, "nteract": { "version": "0.9.1" } }, "nbformat": 4, "nbformat_minor": 1 }