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@asdfgeoff
Created August 22, 2018 17:03
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A python version of the earthquake example given in ISYE 6420 Unit 3.4
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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#!conda install -c ankurankan pgmpy"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"! curl -O http://www.bnlearn.com/bnrepository/earthquake/earthquake.bif.gz\n",
"! gzip -qd earthquake.bif.gz\n",
"! rm earthquake.bif.gz"
]
},
{
"attachments": {
"image.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"![image.png](attachment:image.png)\n",
"\n",
"For some reason, `pgmpy` parses the `bif` file incorrectly, mixing up trues and falses. I manually edited the `earthquake.bif` file to structure it such that the loaded model matches the demo in `BUGS`."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"╒════════════╤══════════════╤══════════════╤══════════════╤══════════════╕\n",
"│ Burglary │ Burglary_0 │ Burglary_0 │ Burglary_1 │ Burglary_1 │\n",
"├────────────┼──────────────┼──────────────┼──────────────┼──────────────┤\n",
"│ Earthquake │ Earthquake_0 │ Earthquake_1 │ Earthquake_0 │ Earthquake_1 │\n",
"├────────────┼──────────────┼──────────────┼──────────────┼──────────────┤\n",
"│ Alarm_0 │ 0.999 │ 0.71 │ 0.06 │ 0.05 │\n",
"├────────────┼──────────────┼──────────────┼──────────────┼──────────────┤\n",
"│ Alarm_1 │ 0.001 │ 0.29 │ 0.94 │ 0.95 │\n",
"╘════════════╧══════════════╧══════════════╧══════════════╧══════════════╛\n",
"╒════════════╤═══════╕\n",
"│ Burglary_0 │ 0.999 │\n",
"├────────────┼───────┤\n",
"│ Burglary_1 │ 0.001 │\n",
"╘════════════╧═══════╛\n",
"╒══════════════╤═══════╕\n",
"│ Earthquake_0 │ 0.998 │\n",
"├──────────────┼───────┤\n",
"│ Earthquake_1 │ 0.002 │\n",
"╘══════════════╧═══════╛\n",
"╒═════════════╤═════════╤═════════╕\n",
"│ Alarm │ Alarm_0 │ Alarm_1 │\n",
"├─────────────┼─────────┼─────────┤\n",
"│ JohnCalls_0 │ 0.95 │ 0.1 │\n",
"├─────────────┼─────────┼─────────┤\n",
"│ JohnCalls_1 │ 0.05 │ 0.9 │\n",
"╘═════════════╧═════════╧═════════╛\n",
"╒═════════════╤═════════╤═════════╕\n",
"│ Alarm │ Alarm_0 │ Alarm_1 │\n",
"├─────────────┼─────────┼─────────┤\n",
"│ MaryCalls_0 │ 0.99 │ 0.3 │\n",
"├─────────────┼─────────┼─────────┤\n",
"│ MaryCalls_1 │ 0.01 │ 0.7 │\n",
"╘═════════════╧═════════╧═════════╛\n"
]
}
],
"source": [
"from pgmpy.readwrite import BIFReader\n",
"reader = BIFReader('earthquake_edited_to_match_edx.bif')\n",
"model = reader.get_model()\n",
"assert model.check_model()\n",
"\n",
"model.nodes()\n",
"model.edges()\n",
"\n",
"for cpd in model.get_cpds():\n",
" print(cpd)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Doing exact inference using Variable Elimination\n",
"from pgmpy.inference import VariableElimination\n",
"model_infer = VariableElimination(model)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$ P(J \\mid E) $"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"╒═════════════╤══════════════════╕\n",
"│ JohnCalls │ phi(JohnCalls) │\n",
"╞═════════════╪══════════════════╡\n",
"│ JohnCalls_0 │ 0.7029 │\n",
"├─────────────┼──────────────────┤\n",
"│ JohnCalls_1 │ 0.2971 │\n",
"╘═════════════╧══════════════════╛\n"
]
}
],
"source": [
"q = model_infer.query(variables=['JohnCalls'],\n",
" evidence={'Earthquake': 1})\n",
"\n",
"print(q['JohnCalls'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$ P(E \\mid J) $"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"╒══════════════╤═══════════════════╕\n",
"│ Earthquake │ phi(Earthquake) │\n",
"╞══════════════╪═══════════════════╡\n",
"│ Earthquake_0 │ 0.9886 │\n",
"├──────────────┼───────────────────┤\n",
"│ Earthquake_1 │ 0.0114 │\n",
"╘══════════════╧═══════════════════╛\n"
]
}
],
"source": [
"q = model_infer.query(variables=['Earthquake'],\n",
" evidence={'JohnCalls': 1})\n",
"\n",
"print(q['Earthquake'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$ P(E \\mid M, \\neg J) $"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"╒══════════════╤═══════════════════╕\n",
"│ Earthquake │ phi(Earthquake) │\n",
"╞══════════════╪═══════════════════╡\n",
"│ Earthquake_0 │ 0.9944 │\n",
"├──────────────┼───────────────────┤\n",
"│ Earthquake_1 │ 0.0056 │\n",
"╘══════════════╧═══════════════════╛\n"
]
}
],
"source": [
"q = model_infer.query(variables=['Earthquake'],\n",
" evidence={'MaryCalls': 1,\n",
" 'JohnCalls': 0})\n",
"\n",
"print(q['Earthquake'])"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
network unknown {
}
variable Burglary {
type discrete [ 2 ] { True, False };
}
variable Earthquake {
type discrete [ 2 ] { True, False };
}
variable Alarm {
type discrete [ 2 ] { True, False };
}
variable JohnCalls {
type discrete [ 2 ] { True, False };
}
variable MaryCalls {
type discrete [ 2 ] { True, False };
}
probability ( Burglary ) {
table 0.999, 0.001;
}
probability ( Earthquake ) {
table 0.998, 0.002;
}
probability ( Alarm | Burglary, Earthquake ) {
(False, False) 0.999, 0.001;
(False, True) 0.71, 0.29;
(True, False) 0.06, 0.94;
(True, True) 0.05, 0.95;
}
probability ( JohnCalls | Alarm ) {
(False) 0.95, 0.05;
(True) 0.1, 0.9;
}
probability ( MaryCalls | Alarm ) {
(False) 0.99, 0.01;
(True) 0.3, 0.7;
}
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