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@springcoil
Created October 29, 2018 14:21
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Rugby_model_arviz
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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mon Oct 29 14:48:29 CET 2018\r\n"
]
}
],
"source": [
"!date\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"try:\n",
" from StringIO import StringIO\n",
"except ImportError:\n",
" from io import StringIO\n",
"import pymc3 as pm, theano.tensor as tt\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.ticker import StrMethodFormatter\n",
"import seaborn as sns\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"\n",
"try:\n",
" df_all = pd.read_csv('../data/rugby.csv')\n",
"except:\n",
" df_all = pd.read_csv(pm.get_data('rugby.csv'))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"df = df_all[['home_team', 'away_team', 'home_score', 'away_score']]\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"teams = df.home_team.unique()\n",
"teams = pd.DataFrame(teams, columns=['team'])\n",
"teams['i'] = teams.index\n",
"\n",
"df = pd.merge(df, teams, left_on='home_team', right_on='team', how='left')\n",
"df = df.rename(columns = {'i': 'i_home'}).drop('team', 1)\n",
"df = pd.merge(df, teams, left_on='away_team', right_on='team', how='left')\n",
"df = df.rename(columns = {'i': 'i_away'}).drop('team', 1)\n",
"\n",
"observed_home_goals = df.home_score.values\n",
"observed_away_goals = df.away_score.values\n",
"\n",
"home_team = df.i_home.values\n",
"away_team = df.i_away.values\n",
"\n",
"num_teams = len(df.i_home.drop_duplicates())\n",
"num_games = len(home_team)\n",
"\n",
"g = df.groupby('i_away')\n",
"att_starting_points = np.log(g.away_score.mean())\n",
"g = df.groupby('i_home')\n",
"def_starting_points = -np.log(g.away_score.mean())"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as model:\n",
" # global model parameters\n",
" home = pm.Flat('home')\n",
" sd_att = pm.HalfStudentT('sd_att', nu=3, sd=2.5)\n",
" sd_def = pm.HalfStudentT('sd_def', nu=3, sd=2.5)\n",
" intercept = pm.Flat('intercept')\n",
"\n",
" # team-specific model parameters\n",
" atts_star = pm.Normal(\"atts_star\", mu=0, sd=sd_att, shape=num_teams)\n",
" defs_star = pm.Normal(\"defs_star\", mu=0, sd=sd_def, shape=num_teams)\n",
"\n",
" atts = pm.Deterministic('atts', atts_star - tt.mean(atts_star))\n",
" defs = pm.Deterministic('defs', defs_star - tt.mean(defs_star))\n",
" home_theta = tt.exp(intercept + home + atts[home_team] + defs[away_team])\n",
" away_theta = tt.exp(intercept + atts[away_team] + defs[home_team])\n",
"\n",
" # likelihood of observed data\n",
" home_points = pm.Poisson('home_points', mu=home_theta, observed=observed_home_goals)\n",
" away_points = pm.Poisson('away_points', mu=away_theta, observed=observed_away_goals)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"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: [defs_star, atts_star, intercept, sd_def, sd_att, home]\n",
"Sampling 4 chains: 100%|██████████| 4000/4000 [00:09<00:00, 415.48draws/s]\n",
"The number of effective samples is smaller than 25% for some parameters.\n",
"100%|██████████| 500/500 [00:00<00:00, 526.62it/s]\n"
]
}
],
"source": [
"\n",
"with model:\n",
" rugby_trace = pm.sample()\n",
" posterior_predictive = pm.sample_ppc(rugby_trace)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"data = az.from_pymc3(trace=rugby_trace,\n",
" posterior_predictive=posterior_predictive,\n",
" coords={'team': teams.team},\n",
" dims={'atts': ['team'], 'defs': ['team'], 'home_theta':['team'], 'away_theta':['team']})"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_, axes = az.plot_forest([data],\n",
" model_names=['rugby'],\n",
" var_names=['atts'])"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_, axes = az.plot_forest([data],\n",
" model_names=['rugby'],\n",
" var_names=['defs'])"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x504 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = az.plot_forest(data,\n",
" kind='ridgeplot',\n",
" var_names=['atts'],\n",
" combined=True,\n",
" ridgeplot_overlap=3,\n",
" colors='white',\n",
" figsize=(9, 7))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x504 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = az.plot_forest(data,\n",
" kind='ridgeplot',\n",
" var_names=['defs'],\n",
" combined=True,\n",
" ridgeplot_overlap=3,\n",
" colors='white',\n",
" figsize=(9, 7))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:ppp]",
"language": "python",
"name": "conda-env-ppp-py"
},
"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": 2
}
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