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@903124
Last active September 2, 2019 16:35
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{
"cells": [
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pymc3 as pm\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"receiver_A = np.zeros(2000)\n",
"receiver_B = np.zeros(2000)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [],
"source": [
"mask_A = np.random.randint(0,1999, size=10)\n",
"mask_B = np.random.randint(0,1999, size=1)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [],
"source": [
"receiver_A[mask_A] = 1\n",
"receiver_B[mask_B] = 1"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as model_A:\n",
"\n",
" # uninformative Normal prior\n",
" theta_A = pm.Normal('theta_A', mu=0, sigma=1000)\n",
" \n",
" #Poission model with 10 inteception observed in 2000 snaps\n",
" y = pm.Poisson('y', mu=np.exp(theta_A), observed=receiver_A)"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [theta_A]\n",
"Sampling 4 chains: 100%|鈻堚枅鈻堚枅鈻堚枅鈻堚枅鈻堚枅| 36000/36000 [00:10<00:00, 3363.15draws/s]\n"
]
}
],
"source": [
"with model_A:\n",
" trace_A = pm.sample(6000, tune=3000)"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace_A);"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as model_B:\n",
"\n",
" # uninformative Normal prior\n",
" theta_B = pm.Normal('theta_B', mu=0, sigma=1000)\n",
"\n",
" #Poission model with \n",
" y = pm.Poisson('y', mu=np.exp(theta_B), observed=receiver_B)"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [theta_B]\n",
"Sampling 4 chains: 100%|鈻堚枅鈻堚枅鈻堚枅鈻堚枅鈻堚枅| 36000/36000 [00:25<00:00, 1417.55draws/s]\n",
"There was 1 divergence after tuning. Increase `target_accept` or reparameterize.\n",
"The acceptance probability does not match the target. It is 0.834649301449604, but should be close to 0.9. Try to increase the number of tuning steps.\n",
"The number of effective samples is smaller than 25% for some parameters.\n"
]
}
],
"source": [
"with model_B:\n",
" trace_B = pm.sample(6000, tune=3000,target_accept=.90)"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace_B);"
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>theta_A</th>\n",
" <td>-5.350444</td>\n",
" <td>-6.013969</td>\n",
" <td>-4.765265</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean hpd_2.5 hpd_97.5\n",
"theta_A -5.350444 -6.013969 -4.765265"
]
},
"execution_count": 144,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.summary(trace_A)[['mean','hpd_2.5','hpd_97.5']]"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>theta_B</th>\n",
" <td>0.000287</td>\n",
" <td>0.000023</td>\n",
" <td>0.002466</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean hpd_2.5 hpd_97.5\n",
"theta_B 0.000287 0.000023 0.002466"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(pm.summary(trace_B)[['mean','hpd_2.5','hpd_97.5']])"
]
},
{
"cell_type": "code",
"execution_count": 140,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"theta_A 210.701823\n",
"Name: mean, dtype: float64"
]
},
"execution_count": 140,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1/np.exp(pm.summary(trace_A)['mean'])"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/root/anaconda3/lib/python3.6/site-packages/seaborn/distributions.py:218: MatplotlibDeprecationWarning: \n",
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
" color=hist_color, **hist_kws)\n",
"/root/anaconda3/lib/python3.6/site-packages/seaborn/distributions.py:218: MatplotlibDeprecationWarning: \n",
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
" color=hist_color, **hist_kws)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f87f6f3d0f0>"
]
},
"execution_count": 146,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title('Histogram of coefficient')\n",
"sns.distplot(np.exp(trace_A.get_values('theta_A')))\n",
"sns.distplot(np.exp(trace_B.get_values('theta_B')))\n",
"plt.legend(['Receiver A','Receiver B'])"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"99.89166666666667"
]
},
"execution_count": 137,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.count_nonzero(trace_A.get_values('theta_A')>trace_B.get_values('theta_B')/1)/24000*100"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"int_range = np.arange(20)/10+0.7\n",
"a = []\n",
"b = []\n",
"\n",
"for i in int_range:\n",
" \n",
" a.append(np.count_nonzero(trace_A.get_values('theta_A')>trace_B.get_values('theta_B')/i)/24000)\n",
" b.append(i)"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f87f7aabb00>]"
]
},
"execution_count": 152,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title('% of chance receiver A is targeted more than receiver B')\n",
"plt.xlabel('Ratio of INT% for receiver A/ receiver B')\n",
"plt.ylabel('%')\n",
"plt.plot(b,a)"
]
}
],
"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": "3.5.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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