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@canyon289
Created August 5, 2022 00:11
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{
"cells": [
{
"cell_type": "code",
"execution_count": 46,
"id": "ddf99a30-a729-432e-a504-01014479229c",
"metadata": {},
"outputs": [],
"source": [
"import pymc as pm\n",
"\n",
"with pm.Model() as model:\n",
" engines = pm.TruncatedNormal(\"engines\", mu=5, sigma=1, lower=0)\n",
" first_stage = pm.TruncatedNormal(\"first_stage\", mu=10, sigma=3, lower=0)\n",
" completed_first_stage = pm.Deterministic(\"completed_first_stage\", engines+first_stage)\n",
" \n",
" second_stage = pm.TruncatedNormal(\"second_stage\", mu=15, sigma=3, lower=0)\n",
" completed_rocket= pm.Deterministic(\"completed_rocket\", completed_first_stage+second_stage)\n",
"\n",
" \n",
" prior_predictive = pm.sample_prior_predictive(samples=1000)\n"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "17372b47-021a-46d5-b588-880d28ea17cb",
"metadata": {},
"outputs": [
{
"data": {
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
"<!-- Generated by graphviz version 5.0.0 (20220707.2338)\n",
" -->\n",
"<!-- Pages: 1 -->\n",
"<svg width=\"423pt\" height=\"283pt\"\n",
" viewBox=\"0.00 0.00 422.81 282.91\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
"<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 278.91)\">\n",
"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-278.91 418.81,-278.91 418.81,4 -4,4\"/>\n",
"<!-- first_stage -->\n",
"<g id=\"node1\" class=\"node\">\n",
"<title>first_stage</title>\n",
"<ellipse fill=\"none\" stroke=\"black\" cx=\"79.9\" cy=\"-237.43\" rx=\"79.81\" ry=\"37.45\"/>\n",
"<text text-anchor=\"middle\" x=\"79.9\" y=\"-248.73\" font-family=\"Times,serif\" font-size=\"14.00\">first_stage</text>\n",
"<text text-anchor=\"middle\" x=\"79.9\" y=\"-233.73\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
"<text text-anchor=\"middle\" x=\"79.9\" y=\"-218.73\" font-family=\"Times,serif\" font-size=\"14.00\">TruncatedNormal</text>\n",
"</g>\n",
"<!-- completed_first_stage -->\n",
"<g id=\"node2\" class=\"node\">\n",
"<title>completed_first_stage</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"237.4,-152.98 100.4,-152.98 100.4,-99.98 237.4,-99.98 237.4,-152.98\"/>\n",
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"<text text-anchor=\"middle\" x=\"168.9\" y=\"-122.78\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
"<text text-anchor=\"middle\" x=\"168.9\" y=\"-107.78\" font-family=\"Times,serif\" font-size=\"14.00\">Deterministic</text>\n",
"</g>\n",
"<!-- first_stage&#45;&gt;completed_first_stage -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<title>first_stage&#45;&gt;completed_first_stage</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M107.82,-202.26C118.54,-189.13 130.76,-174.17 141.44,-161.09\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"144.25,-163.19 147.87,-153.23 138.83,-158.76 144.25,-163.19\"/>\n",
"</g>\n",
"<!-- completed_rocket -->\n",
"<g id=\"node3\" class=\"node\">\n",
"<title>completed_rocket</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"308.9,-53 194.9,-53 194.9,0 308.9,0 308.9,-53\"/>\n",
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"</g>\n",
"<!-- completed_first_stage&#45;&gt;completed_rocket -->\n",
"<g id=\"edge3\" class=\"edge\">\n",
"<title>completed_first_stage&#45;&gt;completed_rocket</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M190.71,-99.73C200.81,-87.81 212.94,-73.49 223.73,-60.76\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"226.45,-62.96 230.24,-53.07 221.11,-58.44 226.45,-62.96\"/>\n",
"</g>\n",
"<!-- second_stage -->\n",
"<g id=\"node4\" class=\"node\">\n",
"<title>second_stage</title>\n",
"<ellipse fill=\"none\" stroke=\"black\" cx=\"334.9\" cy=\"-126.48\" rx=\"79.81\" ry=\"37.45\"/>\n",
"<text text-anchor=\"middle\" x=\"334.9\" y=\"-137.78\" font-family=\"Times,serif\" font-size=\"14.00\">second_stage</text>\n",
"<text text-anchor=\"middle\" x=\"334.9\" y=\"-122.78\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
"<text text-anchor=\"middle\" x=\"334.9\" y=\"-107.78\" font-family=\"Times,serif\" font-size=\"14.00\">TruncatedNormal</text>\n",
"</g>\n",
"<!-- second_stage&#45;&gt;completed_rocket -->\n",
"<g id=\"edge4\" class=\"edge\">\n",
"<title>second_stage&#45;&gt;completed_rocket</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M306.11,-91.48C297.68,-81.54 288.49,-70.69 280.1,-60.79\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"282.71,-58.46 273.58,-53.09 277.37,-62.98 282.71,-58.46\"/>\n",
"</g>\n",
"<!-- engines -->\n",
"<g id=\"node5\" class=\"node\">\n",
"<title>engines</title>\n",
"<ellipse fill=\"none\" stroke=\"black\" cx=\"257.9\" cy=\"-237.43\" rx=\"79.81\" ry=\"37.45\"/>\n",
"<text text-anchor=\"middle\" x=\"257.9\" y=\"-248.73\" font-family=\"Times,serif\" font-size=\"14.00\">engines</text>\n",
"<text text-anchor=\"middle\" x=\"257.9\" y=\"-233.73\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
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"</g>\n",
"<!-- engines&#45;&gt;completed_first_stage -->\n",
"<g id=\"edge2\" class=\"edge\">\n",
"<title>engines&#45;&gt;completed_first_stage</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M229.99,-202.26C219.26,-189.13 207.04,-174.17 196.36,-161.09\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"198.98,-158.76 189.94,-153.23 193.56,-163.19 198.98,-158.76\"/>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text/plain": [
"<graphviz.graphs.Digraph at 0x7f63cf2ea1a0>"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.model_to_graphviz(model)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "32366714-9ec9-402f-b392-daa4d17cf1a2",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x720 with 5 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import arviz as az\n",
"fig, axes = plt.subplots(5,1, figsize = (12, 10), sharex=True, facecolor='white')\n",
"\n",
"for ax, part in zip(axes, (\"engines\", \"first_stage\", \"completed_first_stage\", \"second_stage\", \"completed_rocket\")):\n",
" az.plot_dist(prior_predictive.prior[part], ax=ax)\n",
" ax.set_title(f\"{part} simulated cumulative lead time\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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