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@diego898
Last active February 8, 2019 14:48
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Problem 0\n",
"\n",
"This is the simple toy problem Tom suggested in his office."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"numSamples = 1000\n",
"samples = np.random.random_sample(size=(2,numSamples))*2-1\n",
"circleSamples = samples[:,samples[0,:]**2 + samples[1,:]**2 < 1]\n",
"\n",
"g = sns.jointplot(x=circleSamples[0,:], y=circleSamples[1,:], kind=\"kde\");\n",
"g.plot_joint(plt.scatter, c=\"w\", s=30, linewidth=1, marker=\"+\",alpha=0.5);"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"numSamples = 10000\n",
"r = np.random.random_sample(size=numSamples)\n",
"theta = np.random.random_sample(size=numSamples)*360\n",
"x = r*np.cos(theta)\n",
"y = r*np.sin(theta)\n",
"\n",
"g = sns.jointplot(x=x, y=y, kind=\"kde\");\n",
"g.plot_joint(plt.scatter, c=\"w\", s=30, linewidth=1, marker=\"+\",alpha=0.1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And so - Tom was correct! "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Problem 1\n",
"\n",
"Here, we're investigating what **horizon time** sampling schemes lead to **information leakage**."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"numPatients = 1350\n",
"percentPositives = .34\n",
"\n",
"MAX = 120\n",
"beta = 30 # scale parameter for record lengths (inverse rate)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"numPositives = int(numPatients*percentPositives)\n",
"numControls = numPatients - numPositives\n",
"\n",
"# Draw record lengths and normalize to given MAX length\n",
"recordLengths = np.random.exponential(beta,numPatients)\n",
"recordLengths = recordLengths/recordLengths.max()*MAX\n",
"\n",
"# Seperate out positive and control lengths\n",
"positiveRecordLengths = recordLengths[0:numPositives]\n",
"controlRecordLengths = recordLengths[numPositives:]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Draw event (t_0) times\n",
"eventTimes = np.random.rand(numPositives)*recordLengths[0:numPositives]\n",
"sns.distplot(eventTimes);\n",
"sns.distplot(recordLengths);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Draw positive case horizon times, from 0 to Max\n",
"positiveHorizonTimes = np.random.random_sample(numPositives) * MAX\n",
"sns.distplot(positiveHorizonTimes);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Draw control case horizon times, from 0 to their specific max\n",
"controlHorizonTimes = np.random.random_sample(numControls) * controlRecordLengths\n",
"sns.distplot(controlHorizonTimes);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is clear that $h_1$ is indeed very different from $h_0$. Lets try out two different sampling schemes:\n",
"\n",
"---\n",
"\n",
"## First Sampling Scheme\n",
"\n",
"First - lets draw control case horizon times, from $0$ to `MAX` and **drop** all that are less than their *specific* max."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Draw control case horizon times, from 0 to MAX, \n",
"# and drop all that are less than their specific max\n",
"controlHorizonTimes = np.random.random_sample(numControls) * MAX\n",
"controlHorizonTimes = controlHorizonTimes[controlHorizonTimes<controlRecordLengths]\n",
"sns.distplot(controlHorizonTimes);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This doesn't seem to have changed anything, and has resulted in far fewer samples.\n",
"\n",
"---\n",
"\n",
"## Second Sampling Scheme"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.6.8"
},
"toc": {
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {
"height": "576.8px",
"left": "0px",
"right": "1006.8px",
"top": "33.2px",
"width": "145.2px"
},
"toc_section_display": "block",
"toc_window_display": true
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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