Created
August 31, 2017 19:49
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20170831 - Distribution rescaling.ipynb
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import numpy as np\n", | |
"import seaborn as sns\n", | |
"import matplotlib.pyplot as plt\n", | |
"import pandas as pd" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Sample 1000 draws from a normal distribution" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$ a \\sim \\mathcal{N}(0, 1) $$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"a = np.random.normal(0, 1, 1000)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Downsample to 100 draws by randomly picking draws" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$ K \\sim {{1000}\\choose{100}} $$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$ b_{i} = a_{K_i} $$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"i = np.random.choice(1000, 100, replace=False)\n", | |
"b = a[i]" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## $a$ and $b$ have roughly the same distribution, but they're unccorelated and $b$ is of course noisier" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x116f36d90>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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IwOuz8FxRuZ4yxlHRCMgUqtvWOJ+ce/uXknOVL4KmqAzGJTmLwiLJWYg1Mjxs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\n0Xv2nJujBwAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x116e7cb50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.distplot(a, label='$a$')\n", | |
"sns.distplot(b, label='$b$')\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Calculate the corresponding rank of each draw in $b$ and then find the corresponding percentile" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"E.g. if there are 100 draws, then the smallest rank corresponds to the 0.5th percentile (the midpoint of the first 10 draws of the full distribution)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rank = b.argsort().argsort()\n", | |
"pctile = rank + 0.5" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Then find those percentiles from the full distribution" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"b_hat = np.percentile(a, pctile)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## This brings the distribution much closer in line with the original" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x1193833d0>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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WC6Nj0bo4iaVppGqqKOgl4u48VXkXnpKsFfROi60NmLpBd2KUeNxeHaxzubQ9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\nGJGcBUEQBCHD/H+p5i0mTnpBIAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x119035650>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.distplot(a, label='$a$')\n", | |
"sns.distplot(b, label='$b$')\n", | |
"sns.distplot(b_hat, label='$\\hat{b}$')\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"a:\n", | |
"\tMean:\t-0.0141\n", | |
"\tMedian:\t-0.00711\n", | |
"\tUI:\t(-1.98,\t1.94)\n", | |
"b:\n", | |
"\tMean:\t0.0806\n", | |
"\tMedian:\t0.0173\n", | |
"\tUI:\t(-1.92,\t2.17)\n", | |
"b_hat:\n", | |
"\tMean:\t-0.0142\n", | |
"\tMedian:\t-0.00615\n", | |
"\tUI:\t(-1.94,\t1.88)\n" | |
] | |
} | |
], | |
"source": [ | |
"def summary(n):\n", | |
" v = eval(n)\n", | |
" print('{n}:\\n\\tMean:\\t{mn:0.3}\\n\\tMedian:\\t{md:0.3}\\n\\tUI:\\t({l:0.3},\\t{u:0.3})'.format(\n", | |
" n=n, mn=v.mean(), md=np.median(v), l=np.percentile(v, 2.5), u=np.percentile(v, 97.5)\n", | |
" ))\n", | |
"summary('a')\n", | |
"summary('b')\n", | |
"summary('b_hat')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## And we can confirm that the ordering of draws in $b$ remains unchanged, so its correlation with other countries etc would persist" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.JointGrid at 0x1193c53d0>" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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G+HPY6QAEEYDE4ZRUBEIQAUgYTklFILwFAZAQrB1CMAQRgIRg7RCCIYgAJASnpCIYgghA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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1193c5a50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.jointplot(b, b_hat)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Works with other distributions, too" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$ \\mathrm{log}(x) = \\mathcal{N}(.1, .1) $$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"x = np.random.lognormal(0.1, 0.1, size=1000)\n", | |
"i = np.random.choice(1000, 100, replace=False)\n", | |
"y = x[i]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x119801690>" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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aGo32vjBl1nI6g93EU/ldQyBErpAkLDKmPzKIgYFLLQLAMCAYULA7DEy5PRT4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\nPX8Riwty6NQgB04OsKrew0VNJfyyO93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S3A7aPP4BPYZSJtdClZzzHaY50oCOhQmOGUyw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\nAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1196e9310>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.distplot(x, label='$x$')\n", | |
"sns.distplot(y, label='$y$')\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rank = y.argsort().argsort()\n", | |
"pctile = rank + 0.5\n", | |
"y_hat = np.percentile(x, pctile)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x119c03d50>" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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sVpSR1BgA9Y46ikUD03AQZzFDbkMLqGtraNJMnPVmTrnaMUdiWHoHZeYsIdY4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\nRK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11998ead0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.distplot(x, label='$x$')\n", | |
"sns.distplot(y, label='$y$')\n", | |
"sns.distplot(y_hat, label='$\\hat{y}$')\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"x:\n", | |
"\tMean:\t1.11\n", | |
"\tMedian:\t1.09\n", | |
"\tUI:\t(0.902,\t1.35)\n", | |
"y:\n", | |
"\tMean:\t1.11\n", | |
"\tMedian:\t1.1\n", | |
"\tUI:\t(0.942,\t1.36)\n", | |
"y_hat:\n", | |
"\tMean:\t1.11\n", | |
"\tMedian:\t1.09\n", | |
"\tUI:\t(0.908,\t1.34)\n" | |
] | |
} | |
], | |
"source": [ | |
"def summary(n):\n", | |
" v = eval(n)\n", | |
" print('{n}:\\n\\tMean:\\t{mn:0.3}\\n\\tMedian:\\t{md:0.3}\\n\\tUI:\\t({l:0.3},\\t{u:0.3})'.format(\n", | |
" n=n, mn=v.mean(), md=np.median(v), l=np.percentile(v, 2.5), u=np.percentile(v, 97.5)\n", | |
" ))\n", | |
"summary('x')\n", | |
"summary('y')\n", | |
"summary('y_hat')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.JointGrid at 0x11994ab90>" | |
] | |
}, | |
"execution_count": 15, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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WDhXlZ/e5iGFmxela/LWzFOwIMDICkDACCRGtf+X9HosXjrcGYp7/pbNG6uqL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\npra2NmVlZSWvpQCAjNbnCMn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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1194d1f10>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.jointplot(y, y_hat)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.12" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 1 | |
} |
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