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Last active August 29, 2015 14:18
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{
"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": "2.7.6"
},
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Estimate of IPython Notebooks on GitHub\n",
"\n",
"This notebook shows the historical count and future estimate of the number of `*.ipynb` files on GitHub. The daily count comes from executing the query [extension:ipynb nbformat_minor](https://github.com/search?utf8=%E2%9C%93&q=extension%3Aipynb+nbformat_minor) at 8 AM U.S. Eastern Standard Time (9 AM EDT). We re-render the notebook and published it daily after the update.\n",
"\n",
"## Assumptions\n",
"\n",
"1. That the search query hits and notebooks on GitHub are in 1:1 correspondence.\n",
"1. That GitHub is accurately reporting the total number of `*.ipynb` file hits.\n",
"1. That the result is inflated somewhat by forks (i.e., duplicates) of notebooks.\n",
"\n",
"## Prerequisites\n",
"\n",
"```\n",
"!pip install pandas==0.13.1\n",
"!pip install matplotlib=1.3.1\n",
"!pip install patsy==0.3.0\n",
"!pip install statsmodels==0.5.0\n",
"```"
]
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import time\n",
"import matplotlib.pyplot as plt\n",
"import pandas\n",
"import numpy as np\n",
"import statsmodels.api as sm\n",
"from __future__ import division\n",
"pandas.options.display.mpl_style = 'default'\n",
"figsize = (12,5)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"today = time.strftime(\"%Y-%m-%d\")\n",
"print 'This notebook was last re-rendered on {}.'.format(today)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"This notebook was last re-rendered on 2015-04-09.\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ipynb_hits_on_github = pandas.read_csv('ipynb_counts.csv', index_col=0, header=None, parse_dates=True, names=['date', 'hits'])\n",
"ipynb_hits_on_github.reset_index(inplace=True)\n",
"ipynb_hits_on_github.drop_duplicates(cols='date', inplace=True)\n",
"ipynb_hits_on_github.set_index('date', inplace=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/home/notebook/ka_env/local/lib/python2.7/site-packages/pandas/util/decorators.py:81: FutureWarning: the 'cols' keyword is deprecated, use 'subset' instead\n",
" warnings.warn(msg, FutureWarning)\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Historical Counts\n",
"\n",
"First, we plot the known notebook counts for each day we've been tracking the query results."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = ipynb_hits_on_github.plot(title=\"GitHub search hits for {} days\".format(len(ipynb_hits_on_github)), figsize=figsize)\n",
"ax.set_xlabel('Date')\n",
"ax.set_ylabel('# of ipynb files')"
],
"language": "python",
"metadata": {
"scrolled": false
},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 5,
"text": [
"<matplotlib.text.Text at 0x7f8df3dc5cd0>"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/home/notebook/ka_env/local/lib/python2.7/site-packages/matplotlib/font_manager.py:1282: UserWarning: findfont: Font family [u'monospace'] not found. Falling back to Bitstream Vera Sans\n",
" (prop.get_family(), self.defaultFamily[fontext]))\n"
]
},
{
"output_type": "display_data",
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fPh0WiwWvvfYa5s6dC4VCgSlTpmDMmDFITk7Gm2++iYEDByI9PR2rV69Gbm4u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\nREQMRAW6iIiIiIiBqEAXERERETGQ/w8dtugpCAtSOQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f8e02c3c290>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The outliers in the data are from GitHub reporting drastically different counts over a period of a few days. We suspect this happens when they rebuild their search index. We'll filter them out now by removing any daily change greater than 3 standard deviations from the mean daily change. We'll replace the outliers with the last good value (forward-fill) to remain conservative."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"daily_deltas = (ipynb_hits_on_github.hits - ipynb_hits_on_github.hits.shift()).fillna(0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"outliers = abs(daily_deltas - daily_deltas.mean()) > 3*daily_deltas.std()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ipynb_hits_on_github.ix[outliers] = np.NaN"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ipynb_hits_on_github = ipynb_hits_on_github.fillna(method='ffill')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = ipynb_hits_on_github.plot(title=\"GitHub search hits for {} days sans outliers\".format(len(ipynb_hits_on_github)), figsize=figsize)\n",
"ax.set_xlabel('Date')\n",
"ax.set_ylabel('# of ipynb files')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 10,
"text": [
"<matplotlib.text.Text at 0x7f8df3cae850>"
]
},
{
"output_type": "display_data",
"png": 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nw2kWb1DbNIuFhYUoKyuDVnt3V+VKjV6vh6OjI1QqlbVDISIiImpSpiqBP84Z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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f8e02c3c310>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The total change in the number of `*.ipynb` hits between the tracking start date and today is:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"total_delta_nbs = ipynb_hits_on_github.iloc[-1] - ipynb_hits_on_github.iloc[0]\n",
"total_delta_nbs"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 11,
"text": [
"hits 51515\n",
"dtype: float64"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The daily average change is:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"avg_delta_nbs = total_delta_nbs / len(ipynb_hits_on_github)\n",
"avg_delta_nbs"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 12,
"text": [
"hits 278.459459\n",
"dtype: float64"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The change over each 24 hour period is:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"daily_deltas = (ipynb_hits_on_github.hits - ipynb_hits_on_github.hits.shift()).fillna(0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = daily_deltas.plot(title='24-hour change in notebook count', figsize=figsize)\n",
"ax.set_xlabel('Date')\n",
"ax.set_ylabel('$\\Delta$ notebook count')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 14,
"text": [
"<matplotlib.text.Text at 0x7f8df3957ed0>"
]
},
{
"output_type": "display_data",
"png": 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yl7+M6qDUvbEyoD6MmfoxhurHGMYnxkXdYl3t9vd3A4BOE/3ulYoT74KCApw5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\n4Q0AAAAY8AsA+Ba0LaBmYgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f8df392ebd0>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {
"render": false
},
"source": [
"Autoregressive model"
]
},
{
"cell_type": "markdown",
"metadata": {
"render": false
},
"source": [
"We next train an [autoregressive model](http://en.wikipedia.org/wiki/Autoregressive_model) on the time series data. We then use the model to predict the number of notebooks on GitHub a few months out.\n",
"\n",
"**Note**: Don't put much stock in the model accuracy. We don't have enough of a history yet to capture any seasonality components."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def train(df):\n",
" ar_model = sm.tsa.AR(df, freq='D')\n",
" ar_model_res = ar_model.fit(ic='bic')\n",
" return ar_model_res"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"new_model = train(ipynb_hits_on_github)\n",
"nov_15_model = train(ipynb_hits_on_github.loc[:'2014-11-15'])\n",
"dec_1_model = train(ipynb_hits_on_github.loc[:'2014-12-01'])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"new_model.params"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 17,
"text": [
"const -129.728899\n",
"L1.hits 1.004641\n",
"dtype: float64"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_prediction(start_date='2014-10-20', end_date='2015-06-01'):\n",
" predict = new_model.predict(start=start_date, end=end_date, dynamic=True)\n",
" nov_15_predict = nov_15_model.predict(start=start_date, end=end_date, dynamic=True)\n",
" dec_1_predict = dec_1_model.predict(start=start_date, end=end_date, dynamic=True)\n",
"\n",
" eval_df = pandas.DataFrame({\n",
" 'today_predict': predict, \n",
" 'nov_15_predict': nov_15_predict, \n",
" 'dec_1_predict': dec_1_predict, \n",
" 'truth': ipynb_hits_on_github.hits},\n",
" columns=['today_predict', 'dec_1_predict', 'nov_15_predict', 'truth']\n",
" )\n",
" ax = eval_df.plot(title='GitHub search hits predicted from {} until {}'.format(start_date, end_date), figsize=figsize)\n",
" ax.set_ylabel('# of ipynb files')\n",
" return eval_df"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"eval_df = plot_prediction()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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IyEBxcXFLV6NFvHr1SmLmoHedhoYG5OXl36oMGlcoXRRf6aHYNh7FTroovk2P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\nklHfwvmzdRTk1tLW0kV0QiAzF8USNkKFo2PPb7/Pnqvg+Ae7sB7IJKi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qqpl9xUYyyxuJ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\noaGYzWZmzZrFunXrU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"text": [
"<matplotlib.figure.Figure at 0x7f8df38bee10>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Evaluation\n",
"\n",
"At the moment, we only have a few months of data. We have not yet carved out a test set for evaluation. We have not tried to get a better model fit. All we do at the moment is plot the residuals and autocorrelation function from today's model."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Residuals"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"residuals = (eval_df.truth - eval_df.today_predict).dropna()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(figsize=figsize)\n",
"plt.scatter(residuals.index, residuals)\n",
"fig.autofmt_xdate()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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prVvP4fFcel7rOS4i0rVUIx3B/Ftm+e9aWFCgLxxEuju73c2hQ43P69tuS+Dt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\nn3C5XFx55ZXs2rWLTz/9lGHDhumxHgY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P6N+/fyiH1eN537D8v677/PPPcTgcvrPc+/fv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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f8df364dcd0>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Autocorrelation function"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(figsize=figsize)\n",
"_ = sm.graphics.tsa.plot_acf((eval_df.truth - eval_df.today_predict).dropna(), lags=14, ax=ax)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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htt5htt6hg1wEDMNQbXmpasJBtUUTx8N1saMMAACQN+gge8x1XbV1WdrVEVfU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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f8df3643e90>"
]
}
],
"prompt_number": 22
}
],
"metadata": {}
}
]
}
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