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@DanielWeitzenfeld
Created January 21, 2023 16:50
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GRW in pymc3 with future prediction
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "f6af5592",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "1dd0d747",
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"from datetime import datetime\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.dates as mdates\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"import arviz as az"
]
},
{
"cell_type": "markdown",
"id": "c8e9613e",
"metadata": {},
"source": [
"### Gaussian Random Walk in pymc3\n",
"Sampling will predict the future for me"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "06edf380",
"metadata": {},
"outputs": [],
"source": [
"# create synthetic data\n",
"idx = pd.period_range(datetime(2022, 1, 1), datetime(2022, 12, 31), freq='D')\n",
"innovation_magnitude = .05\n",
"innovations = np.random.normal(scale=innovation_magnitude, size=len(idx))\n",
"df = pd.DataFrame({'value': np.cumsum(innovations)}, index=idx)\n",
"\n",
"# extend into the future\n",
"df = df.reindex(pd.period_range(df.index.min(), pd.Period(datetime(2023, 1, 14), 'D'), freq='D'))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "559576c8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 259,
"width": 381
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "e37240e0",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/weitzenfeld/.virtualenvs/leftfoot/lib/python3.9/site-packages/pymc3/model.py:1755: ImputationWarning: Data in obs contains missing values and will be automatically imputed from the sampling distribution.\n",
" warnings.warn(impute_message, ImputationWarning)\n"
]
}
],
"source": [
"with pm.Model() as m:\n",
" innovation_mag = pm.HalfNormal('innovation_mag', sigma=.2)\n",
" obs = pm.GaussianRandomWalk('obs', sigma=innovation_mag, observed=df.value)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "7c27dd65",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/nn/zkb547kd3t5_t9q_lkz66k6m0000gn/T/ipykernel_50721/3497631914.py:2: FutureWarning: In v4.0, pm.sample will return an `arviz.InferenceData` object instead of a `MultiTrace` by default. You can pass return_inferencedata=True or return_inferencedata=False to be safe and silence this warning.\n",
" trace = pm.sample()\n",
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [obs_missing, innovation_mag]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='8000' class='' max='8000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [8000/8000 00:07<00:00 Sampling 4 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 16 seconds.\n",
"The number of effective samples is smaller than 25% for some parameters.\n"
]
}
],
"source": [
"with m:\n",
" trace = pm.sample()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "4509eb04",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 263,
"width": 721
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12, 4))\n",
"missing_mask = df.value.isnull()\n",
"for i in np.random.choice(4000, size=300):\n",
" ax.plot(df.index.start_time[missing_mask], \n",
" trace['obs_missing'][i, :],\n",
" alpha=.02, c='grey')\n",
"ax.plot(df.index.start_time, df.value, label='Observed')\n",
"ax.legend()\n",
"ax.set_title('Observed data, and PPC with prediction of the future');"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "20b521ab",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "leftfoot",
"language": "python",
"name": "leftfoot"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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