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March 20, 2018 18:43
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 97, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import pandas as pd\n", | |
"from fbprophet import Prophet\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.style.use('fivethirtyeight')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Read CSV into DataFrame" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 98, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>date</th>\n", | |
" <th>gigabytes</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>2015-05</td>\n", | |
" <td>1.306747</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>2015-06</td>\n", | |
" <td>34.215626</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>2015-07</td>\n", | |
" <td>36.932596</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>2015-08</td>\n", | |
" <td>276.924533</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>2015-09</td>\n", | |
" <td>846.051703</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" date gigabytes\n", | |
"0 2015-05 1.306747\n", | |
"1 2015-06 34.215626\n", | |
"2 2015-07 36.932596\n", | |
"3 2015-08 276.924533\n", | |
"4 2015-09 846.051703" | |
] | |
}, | |
"execution_count": 98, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df = pd.read_csv('c:/test_data/prophet_summed_dates.csv', header=None,\n", | |
" names=['date', 'gigabytes'], parse_dates=True, infer_datetime_format=True, \n", | |
" memory_map=True)\n", | |
"df.head(5)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The contains a date and gigabytes column. The Prophet library expects as input a DataFrame with one column containing the time information, and another column containing the metric that we wish to forecast. Importantly, the time column is expected to be of the datetime type." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 99, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Convert string to datetime type\n", | |
"df['date'] = pd.to_datetime(df['date'])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Prophet also imposes the strict condition that the input columns be named ds (the time column) and y (the metric column)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 125, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>ds</th>\n", | |
" <th>y</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>2015-05-01</td>\n", | |
" <td>1.306747</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>2015-06-01</td>\n", | |
" <td>34.215626</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>2015-07-01</td>\n", | |
" <td>36.932596</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>2015-08-01</td>\n", | |
" <td>276.924533</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>2015-09-01</td>\n", | |
" <td>846.051703</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" ds y\n", | |
"0 2015-05-01 1.306747\n", | |
"1 2015-06-01 34.215626\n", | |
"2 2015-07-01 36.932596\n", | |
"3 2015-08-01 276.924533\n", | |
"4 2015-09-01 846.051703" | |
] | |
}, | |
"execution_count": 125, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df = df.rename(columns={'date': 'ds',\n", | |
" 'gigabytes': 'y'})\n", | |
"\n", | |
"df.head(5)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Take a look at our data so far." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 126, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"ax = df.set_index('ds').plot()\n", | |
"ax.set_ylabel('Gigabytes')\n", | |
"ax.set_xlabel('Date')\n", | |
"\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Time-Series Forecasting\n", | |
"\n", | |
"To begin, we must instantiate a new Prophet object. Prophet enables us to specify a number of arguments. For example, we can specify the desired range of our uncertainty interval by setting the interval_width parameter." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 127, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"INFO:fbprophet.forecaster:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", | |
"INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n", | |
"C:\\Users\\n81737a\\.venvs\\worldpay.utils\\lib\\site-packages\\pystan\\misc.py:399: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", | |
" elif np.issubdtype(np.asarray(v).dtype, float):\n" | |
] | |
} | |
], | |
"source": [ | |
"# set the uncertainty interval to 95% \n", | |
"my_model = Prophet(interval_width=.80).fit(df)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"In order to obtain forecasts of our time series, we must provide Prophet with a new DataFrame containing a ds column that holds the dates for which we want predictions. Conveniently, we do not have to concern ourselves with manually creating this DataFrame, as Prophet provides the make_future_dataframe helper function" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 134, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>ds</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>42</th>\n", | |
" <td>2018-11-01</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>43</th>\n", | |
" <td>2018-12-01</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>44</th>\n", | |
" <td>2019-01-01</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>45</th>\n", | |
" <td>2019-02-01</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>46</th>\n", | |
" <td>2019-03-01</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" ds\n", | |
"42 2018-11-01\n", | |
"43 2018-12-01\n", | |
"44 2019-01-01\n", | |
"45 2019-02-01\n", | |
"46 2019-03-01" | |
] | |
}, | |
"execution_count": 134, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"future_dates = my_model.make_future_dataframe(periods=12, freq='MS')\n", | |
"future_dates.tail()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"When working with Prophet, it is important to consider the frequency the time series. \n", | |
"Because we are working with monthly data, we specified the desired frequency of the timestamps (in this case, MS is the start of the month). \n", | |
"\n", | |
"The DataFrame of future dates is used as input to the predict method of our fitted model.\n", | |
"\n", | |
"Prophet returns a large DataFrame with many interesting columns, but we subset our output to the columns most relevant to forecasting, which are:\n", | |
"\n", | |
"ds: the datestamp of the forecasted value\n", | |
"yhat: the forecasted value of our metric (in Statistics, yhat is a notation traditionally used to represent the predicted values of a value y)\n", | |
"yhat_lower: the lower bound of our forecasts\n", | |
"yhat_upper: the upper bound of our forecasts" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 135, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
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"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>ds</th>\n", | |
" <th>yhat</th>\n", | |
" <th>yhat_lower</th>\n", | |
" <th>yhat_upper</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>42</th>\n", | |
" <td>2018-11-01</td>\n", | |
" <td>8832.764970</td>\n", | |
" <td>7744.147164</td>\n", | |
" <td>9807.802297</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>43</th>\n", | |
" <td>2018-12-01</td>\n", | |
" <td>8778.136458</td>\n", | |
" <td>7866.540948</td>\n", | |
" <td>9823.043262</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>44</th>\n", | |
" <td>2019-01-01</td>\n", | |
" <td>8783.062511</td>\n", | |
" <td>7830.461376</td>\n", | |
" <td>9726.443346</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>45</th>\n", | |
" <td>2019-02-01</td>\n", | |
" <td>9107.733567</td>\n", | |
" <td>8109.930452</td>\n", | |
" <td>10071.711983</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>46</th>\n", | |
" <td>2019-03-01</td>\n", | |
" <td>8186.385549</td>\n", | |
" <td>7194.715056</td>\n", | |
" <td>9155.955935</td>\n", | |
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], | |
"text/plain": [ | |
" ds yhat yhat_lower yhat_upper\n", | |
"42 2018-11-01 8832.764970 7744.147164 9807.802297\n", | |
"43 2018-12-01 8778.136458 7866.540948 9823.043262\n", | |
"44 2019-01-01 8783.062511 7830.461376 9726.443346\n", | |
"45 2019-02-01 9107.733567 8109.930452 10071.711983\n", | |
"46 2019-03-01 8186.385549 7194.715056 9155.955935" | |
] | |
}, | |
"execution_count": 135, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"forecast = my_model.predict(future_dates)\n", | |
"forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Prophet also provides a convenient function to quickly plot the results of our forecasts\n", | |
"\n", | |
"Prophet plots the observed values of our time series (the black dots), the forecasted values (blue line) and the uncertainty intervals of our forecasts (the blue shaded regions)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 136, | |
"metadata": { | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 1 Axes>" | |
] | |
}, | |
"execution_count": 136, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"my_model.plot(forecast, uncertainty=True)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"One other particularly strong feature of Prophet is its ability to return the components of our forecasts. This can help reveal how daily, weekly and yearly patterns of the time series contribute to the overall forecasted values:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 137, | |
"metadata": { | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 648x432 with 2 Axes>" | |
] | |
}, | |
"execution_count": 137, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 648x432 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"my_model.plot_components(forecast)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"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": "3.6.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} | |
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