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@oseiskar
Last active February 17, 2023 19:54
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simdkalman example: Kaggle Web Traffic Time Series Forecasting
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## simdkalman example: Kaggle Web Traffic Time Series Forecasting\n",
"\n",
"The [simdkalman](https://simdkalman.readthedocs.io) Python package is based on the code I wrote for the [Web Traffic Time Series Forecasting](https://www.kaggle.com/c/web-traffic-time-series-forecasting) Kaggle competition. This Notebook provides an example on using it on that data. See also my [writeup on the forum](https://www.kaggle.com/c/web-traffic-time-series-forecasting/discussion/43727). This is not the competition solution, but a simplified example on using Kalman filters to predict and explain the comptetition data."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# jupyter data science boilerplate\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%matplotlib inline\n",
"plt.rcParams[\"figure.figsize\"] = (15,10)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Load competition training data\n",
"train = pd.read_csv('../data/train_2.csv', index_col=\"Page\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model consists of a slowly-varying hidden level (whose smoothness is parametrized by a single parameters _s_) and a weekly seasonal component. It is similar to the \"basic structural model\" mentioned in [this paper](http://people.ischool.berkeley.edu/~hal/Papers/2013/pred-present-with-bsts.pdf) but does not have a trend or any regression components. The noise levels could also be automatically adapted to the data using the EM algorithm or simpler ad hoc formulas like `noise = np.stdev(np.diff(data)) * 0.1234`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import simdkalman\n",
"\n",
"# define a Kalman filter model with a weekly cycle, parametrized by a simple \"smoothing factor\", s\n",
"smoothing_factor = 5.0\n",
"\n",
"n_seasons = 7\n",
"\n",
"# --- define state transition matrix A\n",
"state_transition = np.zeros((n_seasons+1, n_seasons+1))\n",
"# hidden level\n",
"state_transition[0,0] = 1\n",
"# season cycle\n",
"state_transition[1,1:-1] = [-1.0] * (n_seasons-1)\n",
"state_transition[2:,1:-1] = np.eye(n_seasons-1)\n",
"\n",
"# --- observation model H\n",
"# observation is hidden level + weekly seasonal compoenent\n",
"observation_model = [[1,1] + [0]*(n_seasons-1)]\n",
"\n",
"# --- noise models, parametrized by the smoothing factor\n",
"level_noise = 0.2 / smoothing_factor\n",
"observation_noise = 0.2\n",
"season_noise = 1e-3\n",
"\n",
"process_noise_cov = np.diag([level_noise, season_noise] + [0]*(n_seasons-1))**2\n",
"observation_noise_cov = observation_noise**2\n",
"\n",
"kf = simdkalman.KalmanFilter(\n",
" state_transition,\n",
" process_noise_cov,\n",
" observation_model,\n",
" observation_noise_cov)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run Kalman smoother and prediction on an example subset of the data. In the full solution, one would loop over these blocks in parallel using, e.g., `pathos.multiprocessing`."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# a block of log1p-transformed data (100 timeseries)\n",
"block = np.log1p(train.as_matrix()[10000:10100, :])\n",
"n_train = block.shape[1]\n",
"n_test = 60\n",
"result = kf.compute(block, n_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot one time series in the block"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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KyclRZWVlm589ceJEPfzww8E1gOvWrZMUevw3bNigDz/8MPgea62+/PJL9enTJ6zxh4ug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\n3s4zmhvloG1j+yLUhNVLM/VxDX1eCIJw7ohQE4Q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26KjFlloUzx+FiThTUV9TOHoDc8Y6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Y0N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\nGGhFja3T74eeU1L9FAG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0DyaWCoyxN8r5w+8ZY19jjDl0D14aHLRCjTGmA7gR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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa19c4cefd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot an example time series\n",
"row = 5\n",
"train_x = range(n_train)\n",
"test_x = range(n_train, n_train+n_test)\n",
"plt.plot(train_x, block[row,:], label=\"data\")\n",
"plt.plot(train_x, result.smoothed.observations.mean[row,:], label=\"smoothed\")\n",
"plt.plot(train_x, result.smoothed.states.mean[row,:,0], label=\"hidden level (smoothed)\")\n",
"plt.plot(test_x, result.predicted.observations.mean[row,:], label=\"predicted observations\")\n",
"plt.plot(test_x, result.predicted.states.mean[row,:,0], label=\"hidden level (predicted)\")\n",
"plt.legend();"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@StevenGAO95
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Hi, I am just doing something about a time series prediction. I just wonder how Kalman filter figure out the pattern of the data. I mean, my data forms a typical kind of wave every week, so how can I make prediction of whole next week, and get maybe similar wave pattern? Thank you!

@microprediction
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Do you have an estimation example?

@oseiskar
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oseiskar commented Jan 2, 2021

Do you have an estimation example?

Could you elaborate what you mean by "estimation example"? More examples are available here https://github.com/oseiskar/simdkalman/tree/master/examples.

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