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March 3, 2017 12:25
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## ChangePoint Detection of User Messaging Data\n", | |
"#### Notebook by [Aashish K Tiwari](https://gist.github.com/AashishTiwari)\n", | |
"[Persistent Systems Ltd]\n", | |
"\n", | |
"Data Source: Cam Davidson Pilon - Probabilistic Programming Book." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Lets handle all our imports first!" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import pandas as pd\n", | |
"from fbprophet import Prophet\n", | |
"\n", | |
"%matplotlib inline\n", | |
"from IPython.core.pylabtools import figsize\n", | |
"import numpy as np\n", | |
"from matplotlib import pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### A look at the data:\n", | |
"\n", | |
"We are given a series of daily text-message counts from a user of our system. The data, plotted over time, appears in the chart below. You are curious to know if the user's text-messaging habits have changed over time, either gradually or suddenly.\n", | |
"\n", | |
"This is a time series data, where number of messages on each day is given to us for a range of 1 - 74 days.\n", | |
"We load this data in a numpy array and plot the histogram of number of texts received on each day." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb401f3ee48>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"figsize(12.5, 3.5)\n", | |
"count_data = np.loadtxt(\"data/txtdata.csv\")\n", | |
"n_count_data = len(count_data)\n", | |
"plt.bar(np.arange(n_count_data), count_data, color=\"#348ABD\")\n", | |
"plt.xlabel(\"Time (days)\")\n", | |
"plt.ylabel(\"count of text-msgs received\")\n", | |
"plt.title(\"Did the user's texting habits change over time?\")\n", | |
"plt.xlim(0, n_count_data);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### Let's Fit our Prophet model to this data.\n", | |
"I have done a little tweak here, instead of number of days, I've added the actual dates for 75 days starting 1st January 2017.\n", | |
"We will use this data to forecast the next 74 days of messaging behaviour" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\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>143</th>\n", | |
" <td>2017-05-24</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>144</th>\n", | |
" <td>2017-05-25</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>145</th>\n", | |
" <td>2017-05-26</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>146</th>\n", | |
" <td>2017-05-27</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>147</th>\n", | |
" <td>2017-05-28</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" ds\n", | |
"143 2017-05-24\n", | |
"144 2017-05-25\n", | |
"145 2017-05-26\n", | |
"146 2017-05-27\n", | |
"147 2017-05-28" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df = pd.read_csv(\"data/msg_data.csv\")\n", | |
"m = Prophet()\n", | |
"m.fit(df)\n", | |
"future = m.make_future_dataframe(periods=74)\n", | |
"future.tail()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Time for Predictions\n", | |
"Here is a plot showing the changepoints in existing data, plus the forecast for the next 74 days, which is upto June 2017.\n", | |
"By Default we show **25 changepoints**\n", | |
"\n", | |
"Prophet detects changepoints by first specifying a large number of potential changepoints at which the rate is allowed to change. It then puts a sparse prior on the magnitudes of the rate changes (equivalent to L1 regularization) - this essentially means that Prophet has a large number of possible places where the rate can change, but will use as few of them as possible.:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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K0eQNjhF1o62MoqBiNXpwA53jtLHfEvHVBD1PwnJF/TebUeIT/nYyZBgTBLGt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\nTVH4h1+9U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0WMysJAkkO+OleCrm/99pvTwM02zdQjF4aRKwHZmVtw5PAzUGQJuq5DgYzS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\nr28pqPeEYSil4+3zw1yN6GTORHNUwW3dzjleHM7g2OVR3zN7MKVj1XUJ9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o21\nC5pxfcv0O0ySzu3shsZ3bkE6xrMIw7IRlSUokljwmC+HaTNEPUu0QSoA1aRAyJKjcOGVnaqkMzpR\nvI50Tm61iZXz+fJMSn4m15Wpq7ayOiY7aRs8XEUK97ybNAlZo1RXNmvaWNIRK9u3LAlgduVjc4sj\nI2WslV2SOQsbFrUF9utVRuDNtttguPeeu7F7927s2bMHmzdvRvPiVegfyzn9s3C5sMU0aTLuWdxe\n9ez9TCEqixjO+EfHuf9k3OO5nhvu2YRc13LffjnTDgxgiym3WuMlbVhli+YEIZxGraNlXPkeddty\n7LX927KGhbYKgXwxcUVCznT0s8OYDhEEQTQqFBhPEq7O7OLb70dH3JnlCZIW8+5/0533I+FZ+nYD\nV69urQCU6FVW0nGN5Itj5HxwdSSvYyzc8nvc/Su1V2n/qOrY05qWjcG0geHjr+HYaRmLOe1JooCz\nB16FAGDDloeq7k9TpBI7U/d6Lbr9Psz3GAnEFRmj2SxOvbEHgFdnGmXTU3bu3InhsSQ6132Qu92v\nQ22jOar40lR4OsaOzrGG9lhpEOI9v3g+mPfGqG57C27dBE0WsXHjRmzcuBEAcP5aGq/+4mVEZAkL\nbrs3VC5s8fgJguALiid6P9R7ey3tuTrGAD/9RvcUtbrX03WB9BJWkQJAYEFoMYbtqJIUm7MAru5w\nuJdYnsW6F/eF2H3Jcu4N/2eypo0lVap9aLKEsZyJdT0tDW+9ThAEUQ56gk0Sro5szrIKgQ9P77N4\nf2fWanxYXJOP8e02InLprGolHddIkS7thVPHcem9E4H7V2qv0v6KKMCwnDSG265vxnsnjpZt78rp\nE7h8+kQoa9/i/hTOrJx7vXTL797XFHHkrHg60+VcnA4ePIj3T/Ui6MXG255h2WjSJN8MX3F/NmPI\nWTaWd/Fn0b3nF1VKc9ML7XFmEmOqjP7338W53mOhc2Enqjtc7/Ymoz9XxxhwCjyL9YWzpl2SG6tI\nIsQibWAWUpECcALjIEUYL27RaY6T76vn5R7D5HSqeSm6oAw5w2KIKeNSj6okQhD9+zOGUDJtvn5l\nEa1RJZTlPUEQRCPTsIHxyy+/jOXLl2Pp0qX4yle+Mt2HUzMM4zORiielIQjTZoh5ApniJdRqFSlc\nIvJ4MVw95KMqoUgiYoqEO29sxfWt4fMNq7X3BfKzcgFBg80EnyOZxklvsPJpCqHSBkJcO4s51f7l\ngpRUzkJPSyRUEaVTUMXvl5cO41X1aCbJLC68ojivg6CXeJE2sBBSkcLd15Xtq0RnQkWO4zvu6nCH\n7c/7XS/GsG2fqY8r2eY9PwbGvQ7liCoils6LV3TJIwiCaHQaMjC2LAvbt2/HT3/6U5w4cQLPPfcc\nTpwInt1saJh/JjKmlBfgZ2DQigI07+cNi1U9mwM4s47uj+VUyG81R2Tcvbgd86rMN6zFSancTLxQ\npHLBy9PMmlZoTc5KLzbIH4mady4MUufIWXZZy1UvjvshfxvP6MV7jmFn4OcaisQzX+ErosQ8Sg+W\nHT6twUVTRBx5+01895tfx9EDb5ZsN20GTRLREVfBezS42sphCTIlAfIzxkWmPgl1XD3FtGxEOEYz\nldBkyed8SBAEMVNpyNf7N998E0uXLsWSJUsAAE888QReeOEFrFy5cpqPrHo0xa+fG1VEZHQbwaUt\nAtSiIqu454fMsKtzhvP2a9oMY1mzKgONWnGCwuqD3Jqc9kQh0ARDzM+g+dovKTaycWNIMwPXoluu\nYNrh5oAnVBlJ3SzZbjO/sUk5nCCbv41ncOHNUW2p4V6ZC8RVCZ0JDVfGsmjSFGeGlAlcDe2YIuJq\nyrlp3NScaqSqeo+8jSc//XEYhgFFUfHPz/0Ia9bfWdjuuu1FFb7LIUN1zoVuHn2pKYkThCeKZoOb\nNBn9yRwAJ52EjBsIgpjLNOSv5sWLF3HDDTcU/t3T04M33njDt8+zzz6LZ599FgBw+fJl9PX1Tekx\npnQTmdFrGB4sfwnF1FX09Y3P0OaG07iWzkEPCIpSVwdwNZpDxvNDmBnJeLYPYkTNgiX5P15B12Ek\nbWBkaBQSBNzq0T+tdN2qva4TbW+w/3JN/aWHr+FaRi4JIO2xq7h0aTwwZYwhdW248O/hwSsYSxtI\nKxn0ZSsHBPrIENJ5u2cew4NXkMoYuJowMCIKyI6mcW0s59sOAOm0iZG4jkyFF4G+vj6kdQvJq6OQ\nM6X3jD4yiD4hFfj5kaF+2MnwX/NGux8ms7/rJSCuGThz9Rou6Raisoj+K6UvMZmxLIaHMkBURjJn\norNJQ19fpmS/IF7/1c9h6Dps24YBHft2v4wbFy4sbB/Nmoi2RHBNSCE9NIzhonFOZQyMRHPQR8MF\nx9mxLK4NZcA46RfJjIlRJYO+9Pi9nkkbGB0ag5hWMJwx0NoRR19f8D01UxgYGKi8EzFjofGdW0zl\neDekjvEPfvADvPzyy/j2t78NAPjP//xPvPHGG/jmN7/J3b9RdYwHUzmsuq4JPR4P+7NX0+jtT6Ij\nQA5pIKVjy1K/tvDl0SwOXxxFZ0LFQErHvYvbq7ZbvZrW8erpIdze04oejsPadDOSMfDba2msub7U\ntCAMe98fgiwIvoB1JGtgQVMEK4ocmva+PwRFFArV8/3JHO6/qaNifmRfXx+GEMfVtBGYzlKsQ31x\nOINjl0d92sc2YxjOGHjw5s5QM48508Ke94ZK9JAHUjnc1t3qU91weW8wiXevJPHQ8s5J0ameiQTp\nYNo2w6XRLHTLxuKO0nSAgWSuoD8+kNRxa3d1utDP/3Q3PvOJj8I0DMicGeOBlI71PS3oTGh45b1B\naLLoU3YYSOXw4LLOErWKIJzjHS7RLXf7untRm08PeSRjYP/Zq+hMaFVrpDcypHM7u6HxnVvMeR3j\n7u5unD9/vvDvCxcuoLu7spFGo8FbLo/IYom0mB8GRfT/APqW0llt6QZRRcLyzgS6Wxuzarw5ImNZ\nJ1+hIQxRRUTW8CfiGpbNldWKKxKSuglFEh0pLDF82kdUlWAmg3O0Ddv2Bc2aLIIVFXnlzOqW4x1L\nb/5NE2Sf3aQpiCnSpOlUzyZEUUB3mQJRVfK4D9bgzLhx40Y8828/wOnDb2D9xk2+oNhhXOWiNerM\n2rqBsWkzqGKpIU051HIOj6w0P9p5nrj65uXVWQiCIGY7Dfmreccdd+DUqVM4c+YMdF3Hjh07sG3b\ntuk+rKo4um83zrz9Sklg7Mxolv5qHd23G4f37YIqiiVSbKok4vRbe5ztksD9kdy5c2dBy5VHVJGw\n4rqmQjBWaf9K26vdv9L2H//4x9j18k9q7s/RgB2/rkf37cbpt17hVtcnNBkn9v8KR/ftRs600Roi\nSN25cyf27t2LqMy39T66bzeO7tsNw2SIK96cZgmMjW8HnMC40oyc9/zEvOSat4jv6L7deP+tVwJf\nkvbtehkXDr0aOvhutPthMvrbu3dv6Pa8qLLoEbAQfAY8YVAkCStuux3/+0+/wAmKATD4AuOsR5nC\n0cSuXjotUCFOYNzAWBAc9YtYUU0EQRDEXKMhn4CyLOOb3/wmHn74YaxYsQKPPfYYVq1aNd2HVRXn\neo9h4P13S35kFJHvTHWu9xgu9B5HlBPIKZKAgfffxYXe44FL+FOtM1vv9iban+O0Nx5QuNefN7sX\nVyVcOX0C53qPIWtYaI9XXjZ2dXCdoIM/fq5ucpNnmVqVBQhCkc6xbVdUiyg5v7z5Q/H5Bc0IHzt6\nGGdPHuNuC9Nftdvr3d5k6xhXgyqJYKw2RQogLw0XMIOrmzbimgwp/zIcV/1ygjnTrl5TOGDG2LRs\naBwNdEFwJA1Hc2ZopRSCIIjZSkOmUgDAhz/8YXz4wx+e7sOoCTNIWwt5M4oyqRS8ZUzvD3EtGsZz\nAddprxheqoE3WDYZqlLpKCcNBzgWzd60DFfL2I9Q9XJ1XBFx1bBK/l6tfTZRPVI+Hz1jWFUrUgDl\n3e9ypl1wxgRK1ScM265aRUYSBah5G3Fv34bNfBrGXpo1Gf1jOteFkSAIYi7RkDPGM5mRrIFrWSNw\nuyqJEITgwIqX6+r9IU5olP/HQxGFQi6v98WEF8QUz/hVI4WlcIwhivGmN7izcT4Yql6Oj6rjKRxT\nYdBC+IkpElK6VXVaA5B/GQ4IpnOWP60mqkgQwDway3wJuYrHq8klL+hGGXMg5++1aaQTBEHMJigw\nrhOWzXBlLIcmTcZ9SzoC9xNFAYoY7EzltYPmUYs28FxAlhx94YGkjhRnZtWLL3AFq2r2VvEWYnEp\ntWj2ztIZlo2oUl0xFeAUcVqMwbTsguYsMXXEVQkZw0JrDRrgshg81l5nTMB5PsRVGbonX76WYtu4\nIpaYfBgWC3SWjGsy4qpcteMdQRDEbIOmB+pESjfR3RrBmgXNFZdaI4qTDyuLpT9ClaS1SHqLT5Mm\nY8PCNsRVCRFFQrkyK8VjztGkKVWlIyiSUHC/444zKy1u8s7ChSm84/YrCshZDENpA2sXtGBqxQmJ\nuObk/larSAG4OcbBMhHFL7stERlDKSNvRsNqcoOMqzIuj/lfoOwAZz/ACb47EopPJo4gCGIu0pA6\nxtXSCDrGQykdy7sSWNgeq/BJ4MjFEQxnSrVwB5I6Nixq4wZO7w+mcOLKGB5a3kVV43Xg12eGMJo1\nsbgjhlu6mip/AOM6ir96bxAxuXTW17QZ0oaFLUvn+f7u1TIeTOlY0ZXAjSHuEy9jWRNvXxjG2uub\nKQ+0Riaie3ppNIsD54extUZd6F29A2iJyBA9L1OMOS86Dy3361lfGE7j+OUkWiIycqaN+4vupzBc\nGcvh0IURdCbG75VyGsWWzTCWM2eFfrEL6dzObmh85xZTqWNMEVadKC66KkdUkfipFIKbw1pKTJWg\nyZJvtpOonYQqI61baItWH2QGjZ9h2dzipogiFfKfbcaQqMGmuSkiY9PidgqKpwlVEhHX5Jp1obW8\nlbiXXD7nt3jlIabKYHBWF5prDFRVSeCkwpfazbtIojCrgmKCIIhaocC4jnhncsvpqsbU0hxjR5d2\nT+BS5r7dP8P5g68EpmlMtc5svdub6v6OvbYbFw/vDV0E59XBjcr88Tv+2i+5xU2qJOL9t/bg6L7d\nEIRweeK84/feG412PevdXiPpGAPOGM6LVa9I4aJJpfdMzrTRxglGnfuDORrGNRbDRfPmLlfT+ngh\nH6NULIIgiEpQYFw3/EVX5XRVNVkqEfxydWmDZoSPHz2M873HA3uf6zrG1W5/78Q7uHb2ZOjCO68O\nLm/G+FzvMVw+fYJb3KTJIgbefxfneo9BFMKpDMy061nv9hpJxxhwZuxvmR8u5YYHb8bYsBhaObrB\nmiRCgADDrl0lIqJIuGdxG65r0tCf1JHSTaiSUNBLJgiCIPhQYFwvOEVXQZTTwq11RoqojWrVIQD+\njL9LkEGLS3MNOrhEYzCRwjRNKb1nWED6lSgKaNKc/OJapNoKfcoSVl/fgrsWtsFiqCmFhyAIYq5B\nT8o6YNpOUBx2NsbJ86PgaKbizPjzA2OetJY3EG6tQQeXmPlEZalkxricvXRbVMFgSq9Jqq2YjriK\nexe3I2cGGw8RBEEQDvQrXQdMy/ZpkVaiknsa0dg4Wsb8F5tKqwa16OASMx9NFmF7vvNW3pUuKOe3\nJSojooh1CYwBZ2WkltURgiCIuQY9KeuAbtlVOdLJ4rgWLgDOTBLRyCiiAAS4F1YKZMhAYW4iexwT\nc6aNobSOzniwwkhUkTAvrlLaDUEQxBRDOsY14tUxHkrpuLkrgUVVaNO+enoQqiRCkUQMpXUsbIth\neVdiEo+YmCiujqJu2vjVe4OY5wlsDMsuqznbN5LBoYujeGh5J5koTBPTqXs6nDGw7/0hSKKAqCJh\neWccXU2RwPQry2ZI5ky0kIRazZDO7eyGxnduMZU6xpRKUQfsKm2FAWfmMKPbkEQGy2ZY2BadpKMj\n6g1POSRr2FyFARdNltAalSkonqNosojOhIaFbVF0WahMvAAADlBJREFUJbSKbouSKFBQTBAEMQ3Q\nr3SdKHajq6SrGs3bQg9nDCxqj+EXL/+k4XRfZ7pubb37c3VwBUGAWqRlfGL/L3H6zT2Bn39118v4\n7duvVtXfTLqe9W6v0XSMJ0pUkXDXwjZc1xypyoKcIAiCmFooMK4LpY5SlXRV46oM3WIwbYZF7bGG\n1H2d6bq19e7Pq4PrvtgATlrNwJl3cezo4cDPHz18CKdOHK2qv5l0PevdXqPpGBMEQRBzAwqM60EN\njlIRWcRwxsDC9mhoK2micYjKIkyLgTGGLMlgEQRBEMSsgALjCeJoGFfvKKVIIloiCha1hS/YIxoH\n1/1uJGvi+ubIdB8OQRAEQRB1gIrvJohp2YjVYNsaUyXc0pVATKUhmInEVBGG5SjT3jQvPt2HQxAE\nQRBEHaAZ4wliWAxNVWgYu0QVCYs6aLZ4pqJKEsZyFm5sjSJRw4sRQRAEQRCNB+kY14irY9zU3lm1\nhjExM/HqKF5L63j7/AjuWdxGs/4zBNI9nVvQeM9uaHznFlOpY0wzxhPEBqPiuTlIQpOxekETBcUE\nQRAEMYugwHiiMIFrAzwbdF9n8/FPRMcYcIonr/MU3c2G82uk9mabjjFBEAQxM6DAeKIIKNEwBmaH\n7utsPv6J6hhPRX8z6XrWuz3SMSYIgiCmAwqMJ0oNGsYEQRAEQRBE40GB8QSwWW0axgRBEARBEETj\nQYHxBDBtVpOGMUEQBEEQBNF4UGA8ASybIaHSJSQIgiAIgpgNkI5xjYxmDbz4xrvYtHopaRjPEUg3\nc2ZD4ze3oPGe3dD4zi1Ix3iGIAogDWOCIAiCIIhZAgXGE0CW+BrGwOzQfZ3Nxz9RHeOp6G8mXc96\nt0c6xgRBEMR0QIHxBJAEkathDMwO3dfZfPykY9zY7ZGOMUEQBDEdUGA8ARQJUCW6hARBEARBELMB\niuomgCZJkCkwJgiCIAiCmBVMS1T3/PPPY9WqVRBFsaRi8JlnnsHSpUuxfPly/OxnP5uOwwtNRKGg\nmCAIgiAIYrYwLe4UH/jAB/A///M/+PznP+/7+4kTJ7Bjxw4cP34cfX19ePDBB9Hb2wtJajzlh4gs\nYV5cm+7DIAiCIAiCIOrEtOoYb968GV/72tdw++23A3BmiwHgr/7qrwAADz/8MJ566ils3LixbDvT\noWMMkI7iXIPGe2ZD4ze3oPGe3dD4zi2mUse4ofyML168iA0bNhT+3dPTg4sXL3L3ffbZZ/Hss88C\nAC5fvoy+vr4pOUYvAwMDU94nMX3QeM9saPzmFjTesxsa37nFVI73pAXGDz74IC5fvlzy96effhof\n+9jHJtz+5z73OXzuc58D4LwVTNebY1C/rqbqI488EqqdSvtPdHujtzcT+kun01i7du2U9TeR9uh+\nKN1ebvyI2QnNKM5uaHznFlM13pNWPbZr1y4cO3as5L9yQXF3dzfOnz9f+PeFCxfQ3d09WYc4qcwG\n3dfZfPykY9zY7ZGOMUEQBDEdNJSswrZt27Bjxw7kcjmcOXMGp06dwp133jndh0UQBEEQBEHMAaYl\nMP7hD3+Inp4e7N+/Hx/5yEfw8MMPAwBWrVqFxx57DCtXrsSHPvQhfOtb32pIRQqCIAiCIAhi9jEt\nxXePPvooHn30Ue62L3/5y/jyl788xUdEEARBEARBzHUaKpWCIAiCIAiCIKaLadUxrhekY0xMBTTe\nMxsav7kFjffshsZ3bjGVOsY0Y0wQBEEQBEEQoMB40ti5c2dBW7Ue+090e6O3NxP627t375T2N5Ou\nZ73bm4z+yo0fQRAEQQAUGE8as0H3dTYfP+kYN3Z7pGNMEARBTAcUGBMEQRAEQRAEKDAmCIIgCIIg\nCAAUGBMEQRAEQRAEAAqMCYIgCIIgCALALNExnjdvHhYtWjTl/Q4MDKCzs3PK+yWmBxrvmQ2N39yC\nxnt2Q+M7t6hlvM+ePYvBwcGq+5oVgfF0MV3GIsT0QOM9s6Hxm1vQeM9uaHznFlM53pRKQRAEQRAE\nQRCgwJggCIIgCIIgAADSU0899dR0H8RMZv369dN9CMQUQuM9s6Hxm1vQeM9uaHznFlM13pRjTBAE\nQRAEQRCgVAqCIAiCIAiCAECBMUEQBEEQBEEAmGOB8fnz57FlyxasXLkSq1atwj/+4z8CAK5evYqt\nW7di2bJl2Lp1K65duwYAGBoawpYtW5BIJPCnf/qnhXbGxsZw6623Fv6bN28e/uzP/ozb54EDB7B6\n9WosXboUTz75JNzMlVdffRXr1q2DLMv4wQ9+MMlnPjdppPH++te/jpUrV2LNmjV44IEH8Nvf/naS\nz37m00jj9y//8i9YvXo1br31VmzatAknTpyY5LOfezTSeLv893//NwRBIFmwOtBI4/vv//7v6Ozs\nLLTx7W9/e5LPfu7RSOMNAP/1X/9VOJY/+IM/KH/wbA7R19fHDhw4wBhjbHR0lC1btowdP36cffGL\nX2TPPPMMY4yxZ555hn3pS19ijDGWTCbZ3r172T//8z+z7du3B7a7bt069sorr3C33XHHHWz//v3M\ntm32oQ99iP3kJz9hjDF25swZduTIEfaZz3yGPf/88/U8TSJPI433L3/5S5ZKpRhjjP3TP/0Te+yx\nx+p2nrOVRhq/kZGRwj4vvPACe/jhh+tyjsQ4jTTe7jHce++97K677mJvvfVWvU5zztJI4/vd7363\nbJvExGmk8e7t7WW33noru3r1KmOMsStXrpQ99jk1Y7xgwQKsW7cOANDU1IQVK1bg4sWLeOGFF/DZ\nz34WAPDZz34WP/rRjwAA8XgcmzZtQiQSCWyzt7cX/f39uPfee0u2Xbp0CaOjo9iwYQMEQcAf/uEf\nFtpetGgR1qxZA1GcU0MwpTTSeG/ZsgWxWAwAsGHDBly4cKGu5zobaaTxa25uLuyXSqUgCELdzpNw\naKTxBoC//uu/xl/8xV+UbZ8IT6ONLzG5NNJ4/+u//iu2b9+OtrY2AEBXV1fZY5+zUdnZs2dx6NAh\n3HXXXbhy5QoWLFgAALjuuutw5cqV0O3s2LEDjz/+OPeH8uLFi+jp6Sn8u6enBxcvXpz4wRNV00jj\n/Z3vfAe/8zu/U8NZzF0aYfy+9a1v4aabbsKXvvQlfOMb35jA2RCVmO7xPnjwIM6fP4+PfOQjEzwT\ngsd0jy/gpMmsXr0av/u7v4vz589P4GyISkz3ePf29qK3txf33HMPNmzYgJdffrlsP3MyME4mk/jk\nJz+Jf/iHf/DNBAGAIAhVzQbt2LEDv//7v1/vQyTqSCON9/e//328/fbb+OIXv1hzG3ONRhm/7du3\n4/Tp0/jqV7+Kv/u7v6upDaIy0z3etm3jC1/4Av7+7/++qs8R4Zju8QWARx55BGfPnsU777yDrVu3\nFmYwifrTCONtmiZOnTqFPXv24LnnnsOf/MmfYHh4OHD/ORcYG4aBT37yk/jUpz6FT3ziEwCA+fPn\n49KlSwCc6fhK0+wuR44cgWmaBdFpy7IKCeJ/8zd/g+7ubt+S+YULF9Dd3V3nMyLK0UjjvWvXLjz9\n9NN48cUXoWlavU5xVtNI4+fyxBNP0JLsJNEI4z02NoZjx45h8+bNWLRoEV5//XVs27aNCvDqQCOM\nLwB0dHQUnsF//Md/jAMHDtTtHIlxGmW8e3p6sG3bNiiKgsWLF+Pmm2/GqVOnAvuaU4ExYwx/9Ed/\nhBUrVuALX/hC4e/btm3D9773PQDA9773PXzsYx8L1d5zzz3ne3uRJAmHDx/G4cOH8bd/+7dYsGAB\nmpub8frrr4Mxhv/4j/8I3TYxcRppvA8dOoTPf/7zePHFF0M/COY6jTR+3ofoSy+9hGXLltXjFAkP\njTLeLS0tGBwcxNmzZ3H27Fls2LABL774Im6//fb6nvAco1HGF0AhMAOAF198EStWrKjHKRIeGmm8\nP/7xj2PPnj0AgMHBQfT29mLJkiVlD37OsHfvXgaArV69mq1du5atXbuWvfTSS2xwcJB98IMfZEuX\nLmUPPPAAGxoaKnxm4cKFrK2tjcXjcdbd3c2OHz9e2LZ48WL27rvvlu3zrbfeYqtWrWJLlixh27dv\nZ7ZtM8YYe/PNN1l3dzeLxWKsvb2drVy5cnJOeg7TSOP9wAMPsK6ursJxPPLII5Nz0rOIRhq/J598\nkq1cuZKtXbuWbd68mR07dmxyTnoO00jj7eX+++8nVYo60Ejj+5d/+Zds5cqVbM2aNWzz5s0V2yGq\np5HG27Zt9ud//udsxYoV7AMf+AB77rnnyrZDltAEQRAEQRAEgTmWSkEQBEEQBEEQQVBgTBAEQRAE\nQRCgwJggCIIgCIIgAFBgTBAEQRAEQRAAKDAmCIIgCIIgCAAUGBMEQcwKnnrqKXzta1+b7sMgCIKY\n0VBgTBAEQRAEQRCgwJggCGLG8vTTT+Pmm2/Gpk2b8Jvf/AYA8I1vfAMrV67EmjVr8MQTT0zzERIE\nQcws5Ok+AIIgCKJ6Dhw4gB07duDw4cMwTRPr1q3D+vXr8ZWvfAVnzpyBpmkYHh6e7sMkCIKYUdCM\nMUEQxAxk7969ePTRRxGLxdDc3Ixt27YBANasWYNPfepT+P73vw9ZprkPgiCIaqDAmCAIYhbx0ksv\nYfv27Th48CDuuOMOmKY53YdEEAQxY6DAmCAIYgZy33334Uc/+hEymQzGxsawc+dO2LaN8+fPY8uW\nLfjqV7+KkZERJJPJ6T5UgiCIGQOtsxEEQcxA1q1bh8cffxxr165FV1cX7rjjDgiCgE9/+tMYGRkB\nYwxPPvkkWltbp/tQCYIgZgwCY4xN90EQBEEQBEEQxHRDqRQEQRAEQRAEAQqMCYIgCIIgCAIABcYE\nQRAEQRAEAYACY4IgCIIgCIIAQIExQRAEQRAEQQCgwJggCIIgCIIgAFBgTBAEQRAEQRAAgP8PPWp+\nvsOAcVIAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb401a99860>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"forecast = m.predict(future)\n", | |
"fig = m.plot(forecast)\n", | |
"for cp in m.changepoints:\n", | |
" plt.axvline(cp, c='gray', ls='--', lw=2)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" Plotting the magnitude of the rate change at each changepoint:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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tqqqqHl00MzNTRUVFkqSioiLNmzev3ZjU1FQ5nU5VVVXp1KlTKi4uVmZmpsf5mZmZKi4u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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb401adb240>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"deltas = m.params['delta'].mean(0)\n", | |
"fig = plt.figure(facecolor='w', figsize=(10, 6))\n", | |
"ax = fig.add_subplot(111)\n", | |
"ax.bar(range(len(deltas)), deltas, facecolor='#0072B2', edgecolor='#0072B2')\n", | |
"ax.grid(True, which='major', c='gray', ls='-', lw=1, alpha=0.2)\n", | |
"ax.set_ylabel('Rate change')\n", | |
"ax.set_xlabel('Potential changepoint')\n", | |
"fig.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Just a quick look at the model parameters" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"{'beta': array([[ 0. , 0.00210526, 0.00936184, 0.00604021, 0.00904343,\n", | |
" 0.01015171, 0.00529925, 0.01054945, -0.00111335, 0.00597078,\n", | |
" -0.00552742, 0.00057093, -0.00398845, 0.00088241, 0.00157897,\n", | |
" 0.00912707, 0.00322523, 0.01875606, -0.00693764, 0.0168331 ,\n", | |
" -0.02838142, -0.03897992, -0.00448772, -0.02019843, -0.04783982,\n", | |
" -0.04104053, -0.0052743 ]]),\n", | |
" 'delta': array([[ 4.08683434e-10, 8.01636750e-10, -9.04111099e-10,\n", | |
" 7.19412250e-09, -4.17155491e-09, 2.57951913e-09,\n", | |
" -5.54275540e-09, 1.11798296e-08, -2.60484756e-04,\n", | |
" 1.81192918e-09, 1.14754009e-08, 2.79189581e-09,\n", | |
" 5.88525216e-13, -2.16351830e-09, -6.55797028e-10,\n", | |
" 1.65290614e-09, -1.63765574e-10, -3.42241682e-10,\n", | |
" 9.03910138e-10, -1.53083969e-09, 1.84545008e-09,\n", | |
" 3.23537154e-09, -1.04115070e-08, -2.04101174e-09,\n", | |
" 3.21716098e-09]]),\n", | |
" 'gamma': array([[ -1.11968064e-11, -5.49066267e-11, 8.66955848e-11,\n", | |
" -8.86946610e-10, 6.85735054e-10, -4.94702299e-10,\n", | |
" 1.29077865e-09, -2.90981866e-09, 7.49339709e-05,\n", | |
" -5.95702744e-10, -4.08712908e-09, -1.07086415e-09,\n", | |
" -2.49921667e-13, 9.78028821e-10, 3.14423233e-10,\n", | |
" -8.60416893e-10, 8.97345612e-11, 1.96906173e-10,\n", | |
" -5.57204880e-10, 9.85609113e-10, -1.26400691e-09,\n", | |
" -2.30464822e-09, 7.70166268e-09, 1.59366670e-09,\n", | |
" -2.60017121e-09]]),\n", | |
" 'k': array([[ 0.12615643]]),\n", | |
" 'm': array([[ 0.18928237]]),\n", | |
" 'sigma_obs': array([[ 0.18344423]])}" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"m.params" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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12GIYhjESB2pvb2fx4sXcdNNNnH322TidTmJjY7FYLNx8881UV1dz//33f+pz5Ofns3Pn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cAAAg\nAElEQVTXP4is/GI6zN/B+5tPVmN6IcTNpPLQg0W7zuLjZEOUr7PaUQzKy119yMgrZkH8GbWjGITs\n/GJe+/kYrT3tebSVepMV3416NuY806ExvyVny/Q2RmTzyWy6x+7EwtSEL4eEMbdfEMFud9f3U6PR\nMKF9Y078rwsdvOsxed1RRq04QFm5XKFGiOomxV0VS0zPJeF8Ln0DXXGta6l2HIPSO8AVb0drFsSd\nQVEUteOo7vVfjpNXVMbznbxxs7NSO06lTYpsgq2Fltfk6J1R+PlYJj0/3YVrHQs+jQnloebu9zRa\nu66VGb+Na8Pj93ny+Z5zRH4cR05haRUmFkL8GynuqtiiXecw12roGyQDKf7KxETDi12acCwzn9WH\nMtSOo6qD6VdZGH+GQaFu9PKvWVcvcbA25/lOTdh6+hJbTmarHUfcgzVJGUQv3k0jBytiB4UQ5eeC\nRnPvR5C1Jho+iQllbr9Adp3NoeP8HeQXl1VBYiFEZUhxV4UKS8v5cu85Ips40VKmivhHw1t64Ght\nxqyttXdSY0VReHZNEnUsTHmyXSNsLGreuKZnO3pjbabl3d+lX1VNlXAuh8Ff7sXX2ZaFg0Lo2qzq\nu5E83cGbZQ8353BGHt0X7qRY+tsKUS1UK+7OnTtH586dCQgIIDAwkLlz56oVpcqsPnSBnMIy+gW5\nYmmmVTuOQbI00/J0h8bEpV5h15krasdRxfeHLrD55CXGt2lEWy/DH0TxT+ytzBgT4cmmE1kcychT\nO464S5l5xQxYsgcHKzNmRwfQqan+Jlof3Nyd+QOCiT9zhT6L9kgfPCGqgWrFnanp/7V352FRlf//\nx5/DLouism+iAoKIIOCCuwKaWu6apmma2qL1KUvLVi1ttzKzxcolSysrs7Lccl8RRVIRUFlUEARE\n9mWA8/vDb/yyNDeGMzO8H9fVdSUM536hc2bec859v28zFi5cSEJCAgcOHGDJkiUkJCSoFadOfHHw\nHO6NrRgQ4KR2FL02o1tLrMxMWLD1lNpR6l2Ztpqnf07Ax8GaaREtDLof2FO9WwEwf2uyyknErdBW\n1zB61WEuFlXyzj1tdXLF7p8e7urNawP92ZKcw31fH5E5t0LomGrFnaurK6GhoQDY2dkREBBARkaG\nWnHuWEpeCdtO53JPoDMtmlqrHUevNbex4IGOV7YkS8krUTtOvVq44wxp+WU83as1LZvbqB3njng1\ntWZksBs/Hc8iu7BC7TjiJs3+NYGdZ/J4LsqHkcGudTLH7mbMifTlqV6tWBt/gVc2ywcCIXRJLyb7\npKWlERcXR+fOnf/1vaVLl7J06VIAsrKyyMzM1HmenJycW/6ZRXsyMNFALxcTLly4oINUxuX+tnYs\nPaDw/Po4Ft7VSu049SKzqJLXtp6ih5ctfVxN6uW5rGsPBjXh26OZvPjzEeb2bXHdx93OOSXq3q/J\n+by/K5VhbewZ1dqKvIvZ9Tr+k2H2xKU35pUtyfjYVtOnpcxNrgtyfol/Ur24Ky4uZsSIEbz//vs0\nbvzvvkrTpk1j2rRpAISHh+Pm5lYvuW5lnKrqGr4/eZyIFk0ZGN6Gxlb6u8uAvnBzg3va5rDhdB4f\nNXFoEFuSzfrqCNWKwqzIAPxaGsdqajc36L3vIj8mFfD+aKf/bKFRX+euuLbc4gpe2HaMts62zB8c\nTIBKexivm+pEyMKdPPb7WeJmetOimdzpqAtyfom/U3W1rFarZcSIEYwbN47hw4erGeWObErKIbOw\ngiHtXKSwuwVzIn0pqqjizQbQyX5v6iVWx2Vwf5gH/f2Na07mnEgf8kq1vL8rVe0o4j/876cT5Jdp\neSnaj7YqFXYAja3M+W1KZyqraxj0eYysoNVjpZVV/JGcw4u/JzJ0WQzRn+yn2+I9hCzcSb9P9/Pk\n+uN8fiCd2HOXZR6lnrnhlbunnnqKyZMnExgYWKcDK4rCgw8+SEBAADNnzqzTY9e3L2LO0szaXBZS\n3KLOLZrS5f+2JHv1rjaYmxnnCuOaGoX//XQcJ1sLHunqjYWZcXUgivZzJMjVjrd3nGZUsCu+jrZq\nRxL/8PPxLFbHZfBQFy/uCVS/r6K/sx3Lx4Qw+svDTPrmKKvHh6kdSfyf6hqFX05ksXhPGrtT89BW\nK5hqoEUza2wtzLAyN6GxpRnnLpezK+USFVVXVj972jdiYrgHE8I95DVAD9ywuAsICGDatGlUVVUx\nadIkxo4dS5MmTe544L1797Jq1SqCgoIICQkB4LXXXmPgwIF3fOz6lF1UwS8nshnbwQ1/eULfsuei\nfBm87BCLdqfydB8ftePoxIpD5zh8voD5d7Uh1OPOzx19o9Fo+H5iOB3f203/pQeIm9mLJo3kCra+\nuFym5eEf/sTXwYYZPVre0e4TdWlUsBvTu+WxZG8aQwJduLeDu9qRGrRybTUrDp3j3Z0pnMotwa2x\nJWND3AnzaEKEd1N8HW2xtTDF1ESDRqNBURQKy6o4llXI9jN5bEjIZsHWU8zfeoo+rZvz7pBAQtyN\n7/XOUGiUm7yWmpSUxPLly1mzZg3dunVj6tSp9OnTR9f5rhIeHk5sbKzOx8nMzLzp+Qtvbz/N7F9P\n8v2EMEYEy5yHW6UoCoFv7aBUW83pOX3/c4NyQ1RQpsXvjW242FmxYUpHPOyNd37RlqSLDPg8hk6e\n9uya3vWqf8tbOadE3Xrw26OsPHSOFWNCGB/uqXacq1RUVdP+nZ3kllRyfFZvXGXLxttyp+fXzjO5\nTPkuntO5pbR1tuX+MA+Gt3fB18H2llZTn8wuYsmeNL46cp7C8ipGh7jx5qAAmVdZR26lBrqpd9Lq\n6moSExNJTEzEwcGB4OBg3n33XcaMGXNHQQ2doih8fvAswW6N6dHKMJvRqk2j0fDKXW1Izy/j433p\nasepc/O3niKnuJJZvVsZdWEHEN3GiQ+GBrI/PZ/J38arHUcAB9PzWRZzjnGhHgwNclU7zr9Ympny\n/cRwiiuquPfLwzJvq54VlGl5+Ps/6f3Rfsq0NXw4rB1bHurCs5G++Dna3XKbnABnOz4cEcTpOX2Z\n2NGTdccu4PfGNt7ZfpqaGvm3rU83LO6efPJJ2rRpw2+//cZzzz3H4cOHeeaZZ/jll1+Ii4urj4x6\na2/qJZJzShgS6IyTnaXacQzW8CBXfB1seH93ilG9ACTnFLNodwr3BDozuIHsNfxot5Y82tWbVYfP\n88YfDa9JtT65ss3dCZpbm/NIV29s9XSbuyDXxswf4M/u1Eu8tb3hbktY32LO5tPu7R18diCd8aHu\nrHsgnEe7eePWpNEdH9vB1pLlY0I4Nqs3nb2aMuvXk/T9ZD8XCsvrILm4GTcs7tq3b098fDyffvop\nnTp1uup7MTExOgtmCD4/eBYbC1MG+Ks/QdmQmZhomNvfj5S8Uj47aDxX72auP4GFqQmPdvVuUKuo\nPxjWjihfB174PZH1x6Tno1q+icvkQHo+j3bzppOXfveTe6pXa3q0bMbLm5JIyCpUO47RW33kPD2X\n7KNGUVg2OpiPRrSno1fTOm9o7edoy87pXXltoD8H0vJp+9Z2fjmRVadjiGu7bnF35MgRjhw5QnBw\nMElJSbV//us/oE4WVhiqwnIta+Mv0M/PkWB39doKGIt7Q9xp2cya93amGMWtmd9PZrPh5EWmdPai\nr6/u9u3UR6YmGtZN6oiPgw3jVscRn1mgdqQGp0xbzTMbEmjjaMPEcE9M9HybOxMTDWvuD8XcRMP9\nq48a1RV8fVJTo/D8bycZ93Ucgc62rBwTwoSOnthZ6e6qrkajYU6kLwf+1w0nG0uGLDvE63+cMorX\neX123X/Rp5566ro/pNFo2LZtm04CGYpv4jIp1VYzpJ0LjcyNs4VHfTI10fBStC+Tvo1n5aFzPNDJ\nS+1It62yqoYn15/Ay74RU7p4YW5ki0Ruhq2lGVseiqDDuzsZ9FkMv93niyynqD/v7jzDucvlfDoy\niNYOhrHNnXuTRrw7JJBpa//k9W2neD7KT+1IRkVbXcP4r+P4Lj6Toe1ceHVAG9rVY7/DEHd74p7q\nyZBlh3jut0QSLxbzxehgo1tEpy+uW9xt376dmpoa9u/fT7du3eozk0H4/OBZWje3pk9rWUhRV8aF\nefDipiTe3H6GCQZwteF6Fu1OISmnhPeHBBLobKd2HNV4Nm3Erw92ovdH+5n6cwoHn/JWO1KDkFlQ\nzut/nKaPT3NGtDesknpKZy++Onye17aeZnSwm/RLqyOVVTWM+eow645l8Xj3lsyJ9MFFhZXJ1hZm\nbJrWhRnrjvHxvnRS8krZMKVTg5q2Ul/+s2Q2MTFhxowZ9ZXFYPyZWcihc5cZEuiCZ9M7n3wqrjA3\nNWHBAH8SLxbzyX7DnHt3/nIZ8zYn07NVM+4Lda+3Tdn1VRfvZjwb6UNMZgmx5/LVjtMgvLIlmYqq\nGv7XvSXNDWxbP41Gw5djOwAwYXWc3LqrAxVV1YxcGcu6Y1k83bsVc/v7qVLY/cXERMNHI9qz6P9W\n1ndbvJf80krV8hirG14PjYyM5IcffpCT7G++iDmLuamGgQFODf7Nu66NC/WgjZMtb2w7RaUBbks0\n8+cTVFUrPNWrNY62soIaYFqXFpho4MM9aWpHMXqpeaV8cfAsw9q5EN3GUe04t6VFM2teH+TPgbOX\neW9nitpxDFpFVTXDlsfyS0I2z/b14fkoP5pa60fB/3iPVqwZ14GknGK6fLCHnOIKtSMZlRsWd59+\n+imjRo3C0tKSxo0bY2dnR+PGDXcBQbm2mq8On6d3q+Z0btFU7ThGx9REw8J72nLu8pVbS4ZkS1IO\na+MvMKmTJ/0M9I1VF9yaWNHHuzG/JmRTVlmldhyjNn9rMiYamNTJU292orgdM7q1pJOnPXM3J5Nx\nuUztOAapukbh/tVx/J54kecjfXi2rw/2erZzzKgQd36YGE56fhldFu2RVil16IbFXVFRETU1NVRW\nVlJYWEhRURGFhQ13qfpPx7O4VKplSDsXve0bZegGBjjR2cuexXtSKSzXqh3nplRUVTNj3TE87a14\nOMILK1lkc5X7gx3JK9XyRcw5taMYrdO5JayMPc+IIFd6+xj2Cm0TEw0rx4ZQXlUtDbFvg6IoPPHT\ncdbGX+CJHi2Z1cdHb7cEvCfQhV8e7MiFovIrBV6BFPN14aaWqeTn5xMTE8OuXbtq/2uovjh4Flc7\nS+7yd1I7itHSaDS8NySQvFItL/yeqHacm/LuzhSSc0qY1bs17d0aboug6+nTsgkudpasOZKhdhSj\nNW9zEmYmGiZ29DSKFfz+znY808eHzck5fBMnz5tb8fofp/lwbxrjQ915LspXbwu7v0T7ObFxamdy\nSirovmQfuXKL9o7dsLj7/PPP6dmzJ/379+fll1+mf//+zJ07tx6i6Z/UvFK2nsrlnkBnWspeeToV\n4d2MAf5OLIs5p/eX6pMuFjNvczJ9fZozpoMsorgWMxMNUzp7sT89X/re6cDJ7CJWH8lgdLAbvX2M\nZwX/C9G+tG5uzcz1Jyg2kKv4alsec5bnf09kgL8j8wf4G8zc356tHfhpUkcyLpfT/cO9XC6Tf+87\nccPibtGiRRw6dIgWLVqwfft24uLisLfX727nuvJFzFk0wOC2zgbbpsOQvHNPW8q11Uz/4ZjaUa6r\npkZhynfxWJqaMLuPj8G8kKphSucrvQuXyMKKOjdvczKWZiZMCHPH0szwr9r9xdLMlBVjQrhQVMGM\ndcfVjqP3dp7JZdraP+nkZc/b97SlhYFdhOjXxom1E8M4k1dKzw/3UlQuc3Rv1w2LOysrK6ysriyb\nrqiowN/fn6SkJJ0H0zeVVTV8fuAs3Vo2o3sr4/lkrM/autgxvVtL1h3PYmtyjtpxrumjfWnsSb3E\nzF6tiGxgO1HcqhbNrIn0deDnE1lUaA1vJbS+OpldxHfxmYwJcadna+N7DnZv1ZxJHT1Zdfg8e1Ly\n1I6jt1LyShixIhb3Jla8NSiAwHpsUFyX7gl04atxHUjILiLq0/1UGGDXBH1ww+LOw8ODy5cvM3To\nUKKjoxkyZAgtWrSok8E3btxImzZt8PHx4Y033qiTY+rKT8ezyC6uYGR7V72fv2BM5g/wx8nWguk/\nHqOqukbtOFdJu1TKsxtOEtGiKVM6e0mn9ZvwcNcWZBdXsjJWFlbUlTe3ncbC1IT7OrhhYWacz8F3\nhwTStJE5U9f+qXevA/qgqKKawcsOoa1WeG9wIL0MfEHNvSHufDKyPTFnLzP4i0NUy3Z0t+yGrwTr\n1q3D3t6euXPn8uqrr/Lggw/y008/3fHA1dXVTJ8+nd9//52EhATWrFlDQkLCHR9XVz7el4ZbY0vu\nbuusdpQGxc7KjMXD2pGcU8IrW5LVjlNLURSmrY1HUeC5SB/c7aWZ9c24p60LzW3MWX0kU+0oRuFs\nfilfH8lgeDsXehjxbjn2jcz5aEQQiReLmbtZf14H9EF1jcL031JJzC7ijUH+3BNoHO9RU7q0YMEA\nfzYn53D/6iPSa/cW3dTHvD179rB8+XJ69epFREQEGRl3vnIpJiYGHx8fWrVqhYWFBWPGjGH9+vV3\nfFxdOJldxI4zeQwPcpWFFCoYFexG79bNeXdnCmfzS9WOA8BHe9PYkpzLjO7e9GsjK6dvloWZCZM7\nerEnNY/Ei0VqxzF47+y40uR3XJiHUc21u5ZRwW5E+zmwcMcZTuUUqx1Hb7y0MZE/Ugp4undrJoR7\nGtUdhOeifPlfj5asicvkiZ9OqB3HoNywUdu8efOIjY0lKSmJSZMmodVqGT9+PHv37r2jgTMyMvD0\n9Kz9s4eHBwcPHvzX45YuXcrSpUsByMrKIjNT95/4c3Kunt+1cNs5zEygl6sJWVkXdD6++Lf5vVzo\ns+ISE1YdZPXINqpmOX6xlJk/J9LJzYZ7fazIvZilah5D8PdzanArK97eAW9vOsarkd6qZTJ0uaVa\nlu5PI7KlHf42lfXy2qi2Bb1c6ZWSx7gvD7JujH+DX5m+6fRlXvvjDNGeltzvb0NB3kWMbS36rI5N\nOZdzmQ/2pGKtVPBYF1e1IxmEGxZ369atIy4ujtDQUADc3NwoKqq/T9zTpk1j2rRpAISHh+PmVj8b\nYf81TklFFd+fjCfS15GBYW0Muuu7IXNzg+ejtMzdnMy6lAqmd2+pSo7iiioe+3IXTazMWXB3O0Ll\nqt1N++uccnOD7i0vsCmlhE/HumBmpPPEdG3JbyeprFaY2s2X1i3q53VRbW5u8OqAKp7+5SQbzmqZ\nFuGtdiTVJOcU88SmeNo62zKntzuBPnUzF14fffegG4M+P8gbezNp5ebA1C7G+7vWlRu+qlpYWKDR\naGo/IZWUlNTJwO7u7pw79/8nVZ8/fx53d/c6OXZd+uZoJgXlVYxs7yqFncpeiPajo6c9s389SUKW\nOrf0pv94jNO5Jbx6Vxv6+soWY7frka4tyCgsZ81R47/apAsFZVqW7E2jr68DUX4N63n4RM/WtHOx\nY85viQ222W1xRRXDV8SiAd4cFEAbJ1u1I+mUqYmGnyZ1pLOXPY/8cIx1x+QO2o3csLgbPXo0Dz30\nEJcvX+azzz4jKiqKqVOn3vHAHTt25NSpU6SmplJZWck333zD4MGD7/i4dUlRFD7el0br5tbc5d+w\nXkD1kamJhu8nhmFmomHUl7FUVtXvqrkvY8/xZex5HuzkxX2hHtLr8A4MD3LF3sqMVbJq9rZ8sj+d\ngvIqJnX0bHCr901NNKy6rwMFZVqmrf1T7Tj1TlGu9NY8mV3EawP9GRBgHAsobsTK3JQtD0Xg52DD\n2K+OsON0rtqR9NpNXbmLiopixIgRJCUl8corr/DYY4/d8cBmZmZ8+OGH9O/fn4CAAEaPHk1gYOAd\nH7cu7U/L5/D5Aka1d8XDXhZS6AOvptZ8Pro9CdnFTP+x/l7Yd6fkMW3tn4S6N2FWn9bYWclV3Dth\nZW7K/eEebD+TR9ol/VgkYygqq2r4YHcKnbzsG+w2iCHuTXis+5UemBsSGtac1/d3pfDt0UweifBm\nYrgnpg3oQ6adlRk7p3fF2c6SwcsOcTTD2GYY1p0bFncXL15kzpw5pKenExUVRVRUVJ0NPnDgQJKT\nkzlz5gzPP/98nR23rry3K4XGlmYMb98w5rMYilEh7jzQ0YPPD55j9ZHzOh8vIauIwcticLGz5K27\nA/B1NO5bIPXloQhvqmoUPtidonYUg/Lt0QwyCysYH+pOcxsLteOoZsFAf9ybWPHoj8cpbyBNsXed\nyWPWryfp3bo5cyJ9sLFseB8yHW0t2flIBI3MTYj+9ABncutmqpixuWFxN3/+fE6dOsWDDz7IihUr\n8PX15bnnnuPMmTP1kU81aZdK+fHYBYYFuRDibpidvo3ZkuFBBLrYMfmbeJ3uXpFZUM6Azw5iqtGw\neGg7IhvY/CZdCnSxo6NnE9Ydy6KmRhrT3gxFUXh3ZwqtmlkztJ2L2nFUZW1hxhejgzmbX8ZTPxt/\nm4zMgnJGf3kY9yZWzB/QpkH31vRubsPWhyKorKqhz8f7yNLz/cfVcFPL1DQaDS4uLri4uGBmZkZ+\nfj4jR45k9uzZus6nmsV7UtEAo4PdMDeivkHGwtrCjB2PRODa2JKhyw8Rcza/zse4XKZl0OcHySmp\nYNHQdgySBtZ17pGu3qTll7H+RLbaUQzC9tN5HM0s5L5QdzybylSR/v5OjAp2ZemBsxzSwWuAvqis\nqmHkylgKK7S8fXcA3Voab8PqmxXk1pgNUzqRU1xJr4/2cblMq3YkvXLDqmXRokWEhYUxe/ZsunXr\nxrFjx/j44485fPgwP/zwQ31krHfFldV8fvAskb6O9DTiru+GzsHWkl3Tu2FracaAzw6SmF13K2jT\nL5XSbfEejmcV8eagAEYFu8kCCh0YHeyGjYUpy2NkYcXNeHfnGZo2Mmd0iPT6+suS4UHYWpoycc1R\ntEa6NdnMn0+wPz2fl6L9GNpO/u3/0r1Vc9ZOCCP1UindF++lQAq8Wjcs7i5dusSPP/7Ipk2bGDVq\nFObmV1ZmmZiY8Ouvv+o8oBq+OZ5LYXkV94W6Y9sA5zQYEs+mjdjxSAQ1ikKvj/axL/XSHR8z9txl\nunywh7P5ZSwe1o4pXVoY7Z6darOxNGNsBzc2J+eQXSS3Vv7LyewiNpy8yKhgV9o6y1SRvzjaWvLp\nyPacvFjMM7/q7xaWt2tV7DmW7E1jXKg70yLkteif7g50YfW4UBJzium1ZB9F5VVqR9ILN3yWzJs3\njxYtrt0wMCAgoM4Dqa26RmHZkYu0d23MgAa6Es3Q+Dvbse3hrpibmNDzo328te3Ube9D+OOfF+i1\nZB8aYNm9wUzp7EUjc+Pe1kltD0V4U1FVw5I9aWpH0Wvv70rBwlTDvSFuDWqF5M0YHeLOsHYuLN6T\nxoH0O/+Apy+OZhTUrtJ/IdqXZtYNdwHNfxkZ7MaqsSEczyqkz8f7KKmQAk8+AvzDLyeySC+o5L4O\nbjjZWaodR9ykDh5N+PPpnnRv2YxnNiRy9xcx5NxCg9OT2UUM/OwgI1bG4t2sEcvHhDAy2M2o9mnU\nV2EeTWjrbMv3f0pj0uvJKa7gy9jzDApwplvLZmrH0UufjQ6miZUZE1YfrfcemLqQX1rJiJWx2Fma\n8fpAf/yd7NSOpNfGhnrwxb0hxGUU0POjfRSWN+xbtPLO9Q8Hz17GxcaMYe0b9ko0Q9TMxpLtj0Tw\nQpQvmxIv4vHKFu5ffYQj5y9f8/E1NQpHMwp4fN1xgt7Zye6UPJ7o2ZLvJoTR39+pwe9bWV80Gg0P\nR7Tg5MVitp3S3cpnQ/bxvnTKq2q4L9QdSzO5knwtzW0s+OLeEE7llvDE+uNqx7kj1TUK41fHcTa/\njDcHBTS4XUhu18SOniy/N4T4zEI6L9pzSx/wjY1MKPuH1wcFMN7fGj9H+ZRkiDQaDa8O8GdYOxfe\n2HaaH/68wFeHMwhwsqV1c2uc7CxxsLEg6WIxu1IukV+mxURzZceEh7p40cvHQVZHq2B8mAezfjnJ\nJ/vSZVu3fyjXVrNkbyrdvJvSr4383fyXIe1cGNvBjU/3pzM40MVgmzw/99tJfjt5kWf7tGZMqLss\n5roFEzp6Ymtpyn1fxdHp/d3sntENjwbYNkaKu2to2sC28zFGoZ72fDcxnOyichbuSGFP6iWSc0s4\nePYy+WVaXOws6dmqGWEe9nTysqdby2ayeEZFTa0tGBbkwq8J2RSWaWks52Ctr49kcLG4krn9/Ghs\nJX8vN/LpyGD2puUzcU0cx5/ujaOBTa/56vB53tp+huFBLjzRs5XM+b0Nw9u78esUc4YuP0Sn93ez\n+aEutHNtWIuQ5N1MGDVnOyveuqctcOU2bHlVNaWV1ShAc2sL+USsRx7u2oJvjmbyyYF0ZvfxUTuO\nXrjStPgMvg42DGngTYtvlp2VGT9ODCdi8R5GfBnLzke7GswUi4Pp+Uz5Lp5Q9ybMH+CPc2MrtSMZ\nrCg/R/54OIJBnx+k86I9fDWuA8OCGk4bGbn/JBoMExMN1hZmONha4mhrKYWdnunZqjneTRvxbVyG\n2lH0xqakHBKyixkX6o5bk4Z3a+l2hXna8/rAAHanXOKVLclqx7kpGQVlDFtxCAdrC966O4AAZ5ka\ndKc6t2jKkSd70qJpI0asiGXupqTb7qRgaKS4E0LoBY1Gw0MRLTiSUUjsuWsvgmlo3t15BgcbC0YG\nN5wrDnVlZq9W9PNzYP6WU+xJzVM7zn8qKNMy6PMYCsqqWDi4LX19HdSOZDS8mllzeGZP7vJ3Yt7m\nZO75Ioa8kkq1Y+mcFHdCCL3xQEdPTE00fLA7Ve0oqvszs5AtybncG+xGgLTBuGUajYbV48NwsLFg\nxIpYMi6XqR3pmiqqqhm+IpYTWUW8dXcAw9u7GsxtZEPRyNyUDVM68XyUD5uScmjzxjZ+OZGldiyd\nUqW4mzVrFv7+/rRv355hw4Zx+bJ8ShdCgEtjKwb4O7HhZDZlldVqx1HVe7tSsK/OxbYAABnESURB\nVDIzYVSwq0whuE3NbSzYOLUzRRVV9Ft6gDKtfj2namoUJn0Tz7bTubwY7cukTp6yWl9HNBoN8wcE\nsGt6V+wbmTN42SEmrD5itFfxVHkWRUdHc/z4cf7880/8/Px4/fXX1YghhNBDj3RtwaVSLcsPnVU7\nimouFJbz9ZHz3NPWmS7eTdWOY9CC3Zvw5dgOnMwuZsSKWL2Zc6UoCrN/TWBNXAYzunnzeI9WWFvI\nGkddi/BuxonZvZna2Yuvj2TQYv5W5m5KotjIdrVQpbjr168fZmZXnsRdunTh/PnzasQQQuih/m2c\ncLaz5OsjDXdhxeI9qVRVK9K0uI6MDHbj5f5+/J54kVm/qL//rKIovPB7Igt3pjA62JXno3yxl/Y/\n9cbSzJSlo4M58Hh3OnraM29zMl6vbuW1rac4r6e372+V6td/ly1bxoABA9SOIYTQE6YmGqZ09mJ/\nWj4JWYVqx6l3JRVVfLIvnd6tm9PHRybW15WXov0YFezKwp0pvLntlGo5FEVhzoZEXvvjNMPaufDW\n3W1xkZYnqujo1ZTtj3Zl07TO+DrY8PzviXi9upUeH+7lswPpJGQVUVV9/a3s8ksr2XE6l5WHztVj\n6pujs2vAUVFRZGX9e8LiggULGDJkSO3/m5mZMW7cuOseZ+nSpSxduhSArKwsMjMzdRP4b3JyZAsk\nIerSrZ5T93hb8hrw5qbjvB7trZNM+mp53EXyy7QM9bGmJD+Hkny1ExmPt/u4cvFyMc9uSKSkqIiH\nO9Zv70BFUZi/K4NPYrO5x68JL0Q0x7z8MpmZdzbvXN6z7kw7O1g3ujV/ZhXzzbFc/kgtZNraPwGw\nMNXQuqklnk0sURSoAaqqFc7kl3O+8Mp8PVMNRDgoetUIX6OoNAFhxYoVfPrpp/zxxx9YW1vf1M+E\nh4cTGxur42SQmZmJm5ubzscRoqG4nXMq8uN9nMgu5twLUZibqX6ToV5U1yj4vbENG3NTNk7rglsT\nuaJT1yqrahj4+UH+OJXLwsFtmdmrdb2Mq62u4X8/HefjfemMCnbl3cFt8bC/ufe+G5H3rLpVU1PD\n9jN57EvN51RuCWdyS8gtqUSjubIww0QDHk0a4edog7+TLe1cG9O9ZTNMdbzw6VZqIFXKzI0bN/LW\nW2+xc+fOmy7shBANy6PdvBm58jArY88zpYuX2nHqxU/HL5CSV8obg/ylsNMRCzMTfpvSmbs+O8BT\nPydQWlnN81G+Om0/kldSyegvD7PtdC4TwjxYMLBNnRV2ou6ZmJgQ6etI5N/2ua6qrqFGgb+eJqYa\njV6vYlfl4/CMGTMoKioiOjqakJAQHn74YTViCCH02OBAF5xsLRrUqtmFO1Jwb2zFkEDZakyXLMxM\n+H1qZ/r5OfLixiRGrIyltFI3qyUTsorovGg3u1PzmNvPj/eGBkphZ4DMTE2wMDPB3PTKf/pc2IFK\nV+5Onz6txrBCCANibmrCQxEtmL/lFHHnC+jg0UTtSDq1L/US+9Pzebp3K/wcbdWOY/QszUz5fWpn\n5vx2kre3nyH03V38PrULLZvXTeFVU6Pwyf50nt1wEgtTDUtHtmdMB3eszGX1s9C9hjGRRQhhkB6K\naIGJ5kpDX2O3cOcZ7CzNGBooTYvri4mJhjfvbsvaCeFkFlbQ/p0dLNxxhsqq66+QvBnHLhTS7cO9\nTP/xGAHOtqwc24EJ4Z5S2Il6oz9LO4QQ4h/cmzTi7rbO/Hwii+JyLbZWxtkL7ExuCeuOZ/FAuCfh\nXsZ9hVIfjQh2pZ2rLRPXHOXpXxJYvCeVdwe3ZVjQrW0FdjK7iCV70/h0fzq2lqa80r8Nkzt54m7f\nSIfphfg3Ke6EEHrt8R6tWH8imyX70nimr6/acXTi/V0pmGo0jA52labFKmnjZMf+x7uzJi6DF39P\nYsTKw/g0t2ZksBvDg1wJ92zyr0JPURQyC8vZk3KJTw+ks/10HuamGu5u68yMbt709nHQ+QpKIa5F\nijshhF7r49Oc1s2t+fpwhlEWd5dKK1kWc4672jjSvVVzteM0aBqNhvtCPRgd7MY7O87w47ELvL39\nNG9sO42DjQVuja1oZm1OM2tz8kq1HLtQyKVSLQCudpbM6ObN0HbORHg3k63EhKrk2SeE0GsajYYZ\n3b15cn0CW5NyiGrjeOMfMiCf7EunVFvN+DAPvWqC2pCZmZrwbKQvz0b6knaphK8OZxBz9jKXy7Xk\nl2k5m1+GjYUpvVo1x9fRBj8HG3r7ONCymbXMlxR6QV5JhBB674GOXszZkMgHe1KNqrirqKpm8Z5U\nunjZE+krW43pI+9mNrwQ7XfV17TVNVTXKLJAQugtWS0rhNB79o3MmRDuwcaki6RdKlU7Tp1ZfSSD\nrKIKxod54GBrqXYccZPMTU2ksBN6TYo7IYRBeKp3a7TVCq9tVW/T97pUU6Pwzo4z+DhYMzjQWe04\nQggjIsWdEMIg+Dna0r+NI9//eYGSCt3sJlCffjqeRUJ2MQ+Ee+LZVHYsEELUHSnuhBAG45m+PuSX\naQ2+qbGiKMzfmoyXfSNGh8iG70KIuiXFnRDCYPRu3Zy2zrYsP3QORVHUjnPbfk+8SFxGIQ909MDH\nwUbtOEIIIyPFnRDCYGg0Gp7p60NKXimrD2eoHee2KIrC/C2ncLGz5N4Qt1vaAUEIIW6GFHdCCIMy\nJsQdRxsLluxLUzvKbdlxJo/96fk8EO6Bv5Od2nGEEEZIijshhEGxMDPhsR4t2Z+ez64zuWrHuWXz\nt5zCwcaCMR3cpOGtEEInVC3uFi5ciEajITfX8F6ghRDqmdHNG1sLU17ZYlhtUfamXmLb6VzuD/Mg\nyLWJ2nGEEEZKteLu3LlzbN68GS8vL7UiCCEMVFNrCx7r0ZI/TuWyP+2S2nFuiqIoPPfbSZpbmzO2\ng7tctRNC6Ixqxd2TTz7JW2+9JZOJhRC35alerbE2N2XupmS1o9yUTUk57Eq5xJTOXoR6yFU7IYTu\nqLK37Pr163F3dyc4OPiGj126dClLly4FICsri8zMTF3HIycnR+djCNGQ6OqcmhDswKex2Ww8kkx7\nF1udjFEXahSFp386iYutOYO8LMjOuqB2JGFE5D1L/JPOiruoqCiysrL+9fUFCxbw2muvsXnz5ps6\nzrRp05g2bRoA4eHhuLnVT8PP+hpHiIZCF+fUvLubs+LoVhYfyWfDFL8b/4BKvo3L4EROGa/0b0P3\noNZyx0LUOXnPEn+ns+Ju69at1/z6sWPHSE1Nrb1qd/78eUJDQ4mJicHFxUVXcYQQRsjJzpKHI1rw\nwZ5UjmYUEOKuf7c7tdU1vLgxCR8Ha+4LdZfCTgihc/U+5y4oKIiLFy+SlpZGWloaHh4eHDlyRAo7\nIcRteaavD+YmJjz3W6LaUa5pecw5TuWW8GhXb1rLbhRCiHogfe6EEAbNpbEVM7p783viRXac1q+2\nSoXlWuZuTqK9qx2jg+W2mRCifqhe3KWlpeHg4KB2DCGEAXupnx9NG5nz5PoTerXn7LzNyWQVVvBU\nr9a42zdSO44QooFQvbgTQog71djKnAUD/DmaWchnB86qHQeA4xcKWbQ7laHtXBgaJNNOhBD1R4o7\nIYRRmNrFCz9HG17ZnEy5tkrVLIqiMP3HY9hamDK9mzeNrcxVzSOEaFikuBNCGAUzUxM+HBZERmE5\nL21Ut7HxmrgMdqVcYkY3b3q1bq5qFiFEwyPFnRDCaES3cSTaz4GP9qVx7nKpKhkKy7U89XMCbZ1t\nebCzF2am8jIrhKhf8qojhDAqi4cFUVWtMO6rOFUWV8xcn0B2UQXP9PGhZXNpfSKEqH9S3AkhjEob\nJ1teuasNu1Mv8d6ulHod+/v4TL6IOcsDHT0ZFuRar2MLIcRfpLgTQhidp3u3pouXPS9tTOJUTnG9\njHkuv4ypa+MJdLZjVp/W2FmpsnW3EEJIcSeEMD4mJhrW3B+GosDYr45QU6Pb27PVNQrjVx+hskph\nwYA2BDjb6XQ8IYT4L1LcCSGMkncza94b0pbD5wt4eVOSTsd6Y9spdqVcYnaf1gwIcNbpWEIIcSNS\n3AkhjNbULi3o38aR1/44xdr4TJ2M8X18Ji9uTKJ/G0cejmiBhZm8rAoh1CWvQkIIo6XRaPh+Yjj+\nTrbcvzqO3Sl5dXr8LUk53Pf1Edq7Nmb+AH+cG1vV6fGFEOJ2SHEnhDBqtpZmbHukKw42FgxeFkNi\ndlGdHPdgej7DVhzCu6k17w8OJNzTvk6OK4QQd0qKOyGE0XO2s2Tbw10AiPrkAKl5JXd0vKMZBQz8\n/CD2jcxZPKwdvX0d6iKmEELUCdWKu8WLF+Pv709gYCCzZ89WK4YQooHwc7LjtymdKSjXErJwF+uP\nXbjlYyiKwtL96UR8sAdTjYYlw9vRr42jDtIKIcTtU6UR0/bt21m/fj3x8fFYWlpy8eJFNWIIIRqY\nCO9mxD7ZgyHLDjF0RSz/69GSd+5pe1NbhBWUaZm29k++i8+ki5c98/q3IcrPEY1GUw/JhRDi5qlS\n3H388cc8++yzWFpaAuDk5KRGDCFEA9TGyY6jT/Vi4po4Fu1OZVNSDo/3aMnYDu7YNzL/1+PP5pfy\nZex5lh5IJ7OgnBndvHmqdyu8m8nWYkII/aRKcZecnMzu3bt5/vnnsbKy4p133qFjx45qRBFCNEBW\n5qZ8OyGc6APpvL39DI/+cIwnfjrOPYEueDdtVPu4+MxC/jidi6JAmEcTXu7nx5gQd2wsZfcJIYT+\n0tkrVFRUFFlZWf/6+oIFC6iqquLSpUscOHCAQ4cOMXr0aFJSUq55e2Pp0qUsXboUgKysLDIzddOr\n6u9ycnJ0PoYQDYm+nlMDvcwZONGfPekFrD6Wy7bki5RV1dR+v5mVGePbNSO6VWM6eTTGzsqcgryL\nFKiYWYh/0tfzS6hHoyiKbvfluYa77rqLZ555hj59+gDQunVrDhw4gKPjf09MDg8PJzY2Vuf5MjMz\ncXNz0/k4QjQUhnJOaatruFymrf2zBmhmbYGJicyrE/rLUM4vcWdupQZSZbXs0KFD2b59O3DlFm1l\nZSUODtJKQAihLnNTExxtLWv/c7C1lMJOCGFwVJk4MnnyZCZPnky7du2wsLBg5cqVsuJMCCGEEKIO\nqFLcWVhY8NVXX6kxtBBCCCGEUZMdKoQQQgghjIgUd0IIIYQQRkSKOyGEEEIII6JKK5Tb5eDggLe3\nt87HycnJuWFbFiHEzZNzSgjdkfOrYUhLSyM3N/emHmtQxV19qa9+ekI0FHJOCaE7cn6Jf5LbskII\nIYQQRkSKOyGEEEIIIyLF3TVMmzZN7QhCGBU5p4TQHTm/xD/JnDshhBBCCCMiV+6EEEIIIYyIFHdC\nCCGEEEbEoIs7W1tbtSP8p8mTJ+Pk5ES7du3UjiLELdNoNIwfP772z1VVVTg6OnL33XfXyfF79+59\nU+0b7rrrLuzt7etsXCH0lS7Puby8PPr06YOtrS0zZsy44+MJ/WbQxZ0aqqqqbvqxDzzwABs3btRh\nGiF0x8bGhuPHj1NWVgbAli1bcHd3v6Vj3Mr5cj2zZs1i1apVd3wcIfRdXZxz12NlZcWrr77KO++8\nUyfHE/rN4Iu74uJiIiMjCQ0NJSgoiPXr1wNXOjkHBAQwdepUAgMD6devX+0J8/crBrm5ubW7XqSl\npdGjRw9CQ0MJDQ1l3759AOzYsYMePXowePBg2rZty0svvcT7779fm+H5559n0aJF/8rWs2dPmjVr\npstfXwidGjhwIBs2bABgzZo1jB07tvZ7MTExRERE0KFDB7p27UpSUhIAK1asYPDgwfTt25fIyEgA\n3nzzTYKCgggODubZZ5+tPcbatWvp1KkTfn5+7N69+5oZIiMjsbOz09WvKIReuZ1zrmfPnhw9erT2\ncd27dyc+Pv6q49rY2NC9e3esrKzq4bcQqlMMmI2NjaLVapWCggJFURQlJydHad26tVJTU6OkpqYq\npqamSlxcnKIoijJq1Chl1apViqIoSq9evZRDhw7V/kyLFi0URVGUkpISpaysTFEURUlOTlbCwsIU\nRVGU7du3K9bW1kpKSoqiKIqSmpqqdOjQQVEURamurlZatWql5ObmXjNjamqqEhgYqIPfXgjdsrGx\nUeLj45URI0YoZWVlSnBwsLJ9+3Zl0KBBiqIoSkFBgaLVahVFUZQtW7Yow4cPVxRFUZYvX664u7sr\neXl5iqIoym+//aZEREQoJSUliqIotV/v1auXMnPmTEVRFGXDhg1KZGTkdbP8fVwhjNXtnnMrVqxQ\n/ve//ymKoihJSUm1713Xsnz5cmX69Ok6/k2E2szULi7vlKIoPPfcc+zatQsTExMyMjLIzs4GoGXL\nloSEhAAQFhZGWlrafx5Lq9UyY8YMjh49iqmpKcnJybXf69SpEy1btgTA29ub5s2bExcXR3Z2Nh06\ndKB58+a6+QWFUFH79u1JS0tjzZo1DBw48KrvFRQUMHHiRE6dOoVGo0Gr1dZ+Lzo6uvaq9datW5k0\naRLW1tYAV13NHj58OHBz56cQDcHtnHOjRo3i1Vdf5e2332bZsmU88MADKiQX+sTgi7uvv/6anJwc\nDh8+jLm5Od7e3pSXlwNgaWlZ+zhTU9Pa27JmZmbU1NQA1D4W4L333sPZ2Zn4+HhqamquunxtY2Nz\n1bhTpkxhxYoVZGVlMXnyZJ39fkKobfDgwTz99NPs2LGDvLy82q+/+OKL9OnTh3Xr1pGWlkbv3r1r\nv/fP8+V6/jpHTU1N62R+nhDG4FbPOWtra6Kjo1m/fj3fffcdhw8fVim50BcGP+euoKAAJycnzM3N\n2b59O+np6Tf8GW9v79on//fff3/VsVxdXTExMWHVqlVUV1df9xjDhg1j48aNHDp0iP79+9/5LyKE\nnpo8eTIvv/wyQUFBV329oKCgdrL3ihUrrvvz0dHRLF++nNLSUgAuXbqks6xCGIPbOeemTJnC448/\nTseOHWnatGl9RRV6ymCLu6qqKiwtLRk3bhyxsbEEBQXx5Zdf4u/vf8Offfrpp/n444/p0KEDubm5\ntV9/9NFHWblyJcHBwSQmJv7n1QcLCwv69OnD6NGjMTU1veZjxo4dS0REBElJSXh4ePDFF1/c+i8q\nhMo8PDx4/PHH//X12bNnM2fOHDp06PCfV93uuusuBg8eTHh4OCEhIbe8Wq9Hjx6MGjWKP/74Aw8P\nDzZt2nTLv4MQhuR2zrmwsDAaN27MpEmTrntcb29vZs6cyYoVK/Dw8CAhIaHOswv9YLDbj8XHxzN1\n6lRiYmJUGb+mpobQ0FDWrl2Lr6+vKhmEEEIIgMzMTHr37k1iYiImJgZ73UbUEYN8BnzyySeMHTuW\n+fPnqzJ+QkICPj4+REZGSmEnhBBCVV9++SWdO3dmwYIFUtgJwICv3AkhhBBCiH+TEl8IIYQQwohI\ncSeEEEIIYUSkuBNCCCGEMCJS3AkhDJapqSkhISEEBgYSHBzMwoULaxuU68qsWbMIDAxk1qxZOh1H\nCCFulyyoEEIYLFtbW4qLiwG4ePEi9913H926dWPevHk6G7NJkyZcunTpuv0t61JVVRVmZga/kZAQ\nop7JlTshhFFwcnJi6dKlfPjhhyiKQlpaGj169CA0NJTQ0FD27dsHwIQJE/jpp59qf27cuHGsX7/+\nqmMpisKsWbNo164dQUFBfPvtt8CVbaGKi4sJCwur/Rpc6Xvp6+tLTk5O7Z99fHzIyckhJyeHESNG\n0LFjRzp27MjevXsBiImJISIigg4dOtC1a1eSkpKAKzsPDB48mL59+xIZGam7vzAhhPFShBDCQNnY\n2Pzra02aNFGysrKUkpISpaysTFEURUlOTlbCwsIURVGUHTt2KEOGDFEURVEuX76seHt7K1qt9qpj\nfP/990pUVJRSVVWlZGVlKZ6enkpmZuZ1x1QURZk7d67y3nvvKYqiKJs2bVKGDx+uKIqijB07Vtm9\ne7eiKIqSnp6u+Pv7K4qiKAUFBbXjbtmypfbxy5cvV9zd3ZW8vLzb/FsRQjR0cr1fCGGUtFotM2bM\n4OjRo5iampKcnAxAr169ePTRR8nJyeGHH35gxIgR/7r1uWfPHsaOHYupqSnOzs706tWLQ4cOMXjw\n4OuON3nyZIYMGcITTzzBsmXLareB2rp161XbPBUWFlJcXExBQQETJ07k1KlTaDQatFpt7WOio6Np\n1qxZXf51CCEaECnuhBBGIyUlBVNTU5ycnJg3bx7Ozs7Ex8dTU1ODlZVV7eMmTJjAV199xTfffMPy\n5cvrZGxPT0+cnZ3Ztm0bMTExfP3118CVW7QHDhy4anyAGTNm0KdPH9atW0daWhq9e/eu/d5/7Wst\nhBA3InPuhBBGIScnh4cffpgZM2ag0WgoKCjA1dUVExMTVq1aRXV1de1jH3jgAd5//30A2rZt+69j\n9ejRg2+//Zbq6mpycnLYtWsXnTp1umGGKVOmMH78eEaNGlW74KJfv34sXry49jFHjx4FoKCgAHd3\nd+DKPDshhKgrUtwJIQxWWVlZbSuUqKgo+vXrx8svvwzAo48+ysqVKwkODiYxMfGqq2HOzs4EBATU\n3jr9p2HDhtG+fXuCg4Pp27cvb731Fi4uLjfM89eCi78f94MPPiA2Npb27dvTtm1bPvnkEwBmz57N\nnDlz6NChA1VVVXfy1yCEEFeRVihCiAantLSUoKAgjhw5QpMmTersuLGxsTz55JPs3r27zo4phBC3\nSq7cCSEalK1btxIQEMBjjz1Wp4XdG2+8wYgRI3j99dfr7JhCCHE75MqdEEIIIYQRkSt3QgghhBBG\nRIo7IYQQQggjIsWdEEIIIYQRkeJOCCGEEMKISHEnhBBCCGFE/h/BkVptuw7wLwAAAABJRU5ErkJg\ngg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb401a6b160>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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tG4DJCRFcPiedAoeNRRrzJSIiPkLhTnyOYRiUOtv7w1yZk+2HGnG5DSIGxnx9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cAAAg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\ngg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb401a6b160>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m.plot_components(forecast)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### What if we want only 1 or 2 changepoints?\n", | |
"Easy, the API suggests setting n_changepoints arguments to the number of changepoints you want." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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YDTE+FPkZ2aIHO+ciVXPu2a7A4pCP0bQFLhVKG1uwEp6bAGA7HPfu0znXbfbz/tuzwvj0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6ViXSmWKxp4jmAyK2F2JIV12YBqNnY+LheUehcyjslstO7NdaS4Zy8b9mt1MXU+X8P3LvRGiz4I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\nY8cOfPvb38b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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3fdb72898>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m = Prophet(n_changepoints=2)\n", | |
"m.fit(df)\n", | |
"future = m.make_future_dataframe(periods=74)\n", | |
"forecast = m.predict(future)\n", | |
"fig = m.plot(forecast)\n", | |
"for cp in m.changepoints:\n", | |
" plt.axvline(cp, c='gray', ls='--', lw=2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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FUey2227FsmXLqlrz5qojvbz33nuLj3/843/RvluT99qP22+/vTj88MPbXvte\n/r9f//rXxWOPPVaMHDnyXbebLzuuvV6aK6vLCnIXNHPmzJxxxhlJkjPOOCM///nPNxgzYMCANDU1\nJUn69OmTvfbaK4sWLapqnZuj9/OI9I7su7XpSE8OPvjg9OvXL0ly4IEH5qWXXqpFqZu99/P98t1c\n33vtx0033ZRTTjmlihVuOcaNG5cdd9xxo9vNlx3XXi/NldUlIHdBL7/8ctv9pD/0oQ/l5Zdf3uT4\n+fPn54knnsgBBxzQ9t6VV16ZhoaGTJo06V0v0eiqNvb4846M6ci+W5v32pMf/OAHOeaYY9pe19XV\n5cgjj8y+++7b9rj5rVVHe/nAAw+koaEhxxxzTJ555pn3tO/W4r30Y82aNbn77rtz0kkntb3ne9lx\n5svKMFdW3hbxqGk2dOSRR2bp0qUbvP+tb31rvdd1dXWpq6vb6HFWr16dk046KZdffnnq6+uTJFOn\nTs3Xvva11NXV5Wtf+1r+4R/+IT/84Q879wPAn7n33nvzgx/8IPfdd1/be/fdd18GDRqUV155JePH\nj89HPvKRjBs3roZVbt6ampqyYMGC9O7dO7Nmzcrxxx+fuXPn1rqsLdodd9yRQw45ZL2VPd9Laslc\nWR0C8hbq3//93ze6bZdddsmSJUsyYMCALFmyJP3793/XcS0tLTnppJNy6qmn5sQTT1xv/3ecc845\nOfbYYzuv8M3c+3lEektLi0en/5mOPk7+qaeeytlnn53Zs2dnp512Wm//JOnfv39OOOGEPPzww1vt\npN+RXr7zj9wkmThxYs4777wsX768w7+HrcV76cfNN9+8weUVvpcdZ77sXObKKqr1RdB0vi9+8Yvr\n/ZHel770pQ3GtLa2Fp/73OeKv/3bv91g2+LFi9t+/u53v1t85jOfqVyxm5mWlpZi6NChxYsvvtj2\nhyNPP/30emPuvPPO9f7oZL/99uvwvlubjvTk97//ffHhD3+4uP/++9d7f/Xq1cXKlSvbfj7ooIOK\n2bNnV632zU1HerlkyZKitbW1KIqieOihh4ohQ4YUra2tvpt/pqP9WLFiRdGvX79i9erVbe/5Xm5o\n3rx5G/3DMvPle7OpXporq0tA7oKWL19efOxjHyuGDx9eHHHEEcUf/vCHoiiKYtGiRcUxxxxTFEVR\n/OY3vymSFKNHjy723nvvYu+99y7uuuuuoiiK4rTTTitGjRpVjB49uvjEJz6xXmDeGtx1113FHnvs\nUQwbNqyJByOYAAAHeUlEQVT45je/WRRFUVxzzTXFNddcUxTF2/+4OO+884phw4YVo0aNKh555JFN\n7ru1a6+fZ511VrHDDju0fQ/33XffoiiK4oUXXigaGhqKhoaGYsSIEfpZtN/LK6+8shgxYkTR0NBQ\nHHDAAev9D6nv5vra62VRFMWMGTM2WCDwvVzfySefXHzoQx8qevToUQwaNKi4/vrrzZd/ofZ6aa6s\nLo+aBgCAEnexAACAEgEZAABKBGQAACgRkAEAoERABgCAEgEZ2Cp17949jY2NGTVqVD71qU9lzZo1\nGx27YsWKfP/7339f5/uXf/mXLF68uO312WefnWeffXaT+3z0ox/No48+2uHjT5s27X3VWE1f//rX\nN/nAoySZM2dOHnjggSpVBPD/BGRgq7T99tvnd7/7XZ5++ulsu+22ufbaazc6thIB+frrr8+IESPe\n1zG3ZBdeeGGOPPLITY4RkIFaEZCBrd7YsWPzP//zP0mS7373uxk1alRGjRqVyy+/PEnyj//4j3nh\nhRfS2NiYL33pS0mSSy+9NPvtt18aGhpywQUXJEnmz5+fvfbaK+ecc05GjhyZo446KmvXrs2tt96a\nRx99NKeeemoaGxuzdu3a9VaHp06dmjFjxmTkyJFtx9qURx55JAcffHD23nvv7L///lm1alWSZPHi\nxZkwYUL22GOPfPnLX24bv7Hj77777rngggvS1NSU0aNH57nnnkuSLFu2LOPHj8/IkSNz9tlnZ7fd\ndsvy5cuTJDfeeGP233//NDY25txzz826deuSJL17987f//3fZ+TIkTniiCOybNmyJMnvfve7HHjg\ngWloaMgJJ5yQ1157LUly5pln5tZbb91oHfPnz8+1116b733ve2lsbMxvfvOb9/x7BfiL1fpJJQC1\n0KtXr6Io3n7k7XHHHVd8//vfLx599NFi1KhRxerVq4tVq1YVI0aMKB5//PENHv/6i1/8ojjnnHOK\n1tbWYt26dcXHP/7x4te//nUxb968onv37sUTTzxRFEVRfOpTnypuuOGGoiiK4rDDDlvvKWLl1+88\n7fKtt94qDjvssOLJJ598132KoijeeOONYujQocXDDz9cFEVR/PGPfyxaWlqKGTNmFEOHDi1WrFhR\nrF27tth1112LBQsWbPL4u+22W/HP//zPRVEUxdVXX12cddZZRVEUxfnnn19cdNFFRVEUxezZs4sk\nxbJly4pnn322OPbYY4s333yzKIqimDp1avGjH/2oKIqiSFLceOONRVEUxfTp04vzzz+/KIqiGD16\ndDFnzpyiKIria1/7Wtvj7c8444ziZz/72SbruOCCC4pLL720g79RgM5jBRnYKq1duzaNjY0ZM2ZM\ndt1115x11lm57777csIJJ6RXr17p3bt3TjzxxHddufzlL3+ZX/7yl9lnn33S1NSU5557LnPnzk2S\nDB06NI2NjUmSfffdN/Pnz2+3lltuuSVNTU3ZZ5998swzz2zy2uTnn38+AwYMyH777Zckqa+vT48e\nPZIkRxxxRPr27ZvtttsuI0aMyO9///t2j3/iiSduUOt9992Xk08+OUkyYcKE9OvXL0nyq1/9Ko89\n9lj222+/NDY25le/+lVefPHFJEm3bt3ymc98Jkly2mmn5b777ssf//jHrFixIocddliS5Iwzzsh/\n/ud/vuvnerc6AGqlR60LAKiFd65B/ksURZGvfvWrOffcc9d7f/78+fnABz7Q9rp79+5Zu3btJo81\nb968XHbZZXnkkUfSr1+/nHnmmXn99df/orr+/NxvvfVWu8d/Z593xm9KURQ544wzcvHFF7dbS11d\n3V9Ue0fqAKg0K8gA/2fs2LH5+c9/njVr1uRPf/pTbrvttowdOzZ9+vRpu843SY4++uj88Ic/zOrV\nq5MkixYtyiuvvLLJY//5Md6xcuXK9OrVK3379s3LL7+c2bNnb/I4e+65Z5YsWZJHHnkkSbJq1apN\nBsr3evwkOeSQQ3LLLbckeXu1/J3rho844ojceuutbZ/11VdfbVulbm1tbbum+F//9V9z6KGHpm/f\nvunXr1/bKvwNN9zQtprcERvrGUClWUEG+D9NTU0588wzs//++yd5+1Zs++yzT5K3Q+OoUaNyzDHH\n5NJLL81///d/56CDDkry9h+o3XjjjenevftGj33mmWdmypQp2X777fPb3/627f299947++yzTz7y\nkY9kyJAhOeSQQzZZ47bbbpuf/vSn+Zu/+ZusXbs222+//SZvl/Zej58kF1xwQU455ZTccMMNOeig\ng/KhD30offr0yc4775xvfvObOeqoo9La2pptttkmV199dXbbbbf06tUrDz/8cL75zW+mf//++elP\nf5ok+dGPfpQpU6ZkzZo1GTZsWGbMmNHu+d/xiU98In/913+dmTNn5sorr8zYsWM7vC/A+1FXFEVR\n6yIA2Hy88cYb6d69e3r06JHf/va3mTp1aruXo/Tu3bttRR1gS2cFGYD1LFiwIJ/+9KfT2tqabbfd\nNtddd12tSwKoKivIAABQ4o/0AACgREAGAIASARkAAEoEZAAAKBGQAQCg5H8BEQArWEl0klYAAAAA\nSUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3fc286ef0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"deltas = m.params['delta'].mean(0)\n", | |
"fig = plt.figure(facecolor='w', figsize=(10, 6))\n", | |
"ax = fig.add_subplot(111)\n", | |
"ax.bar(range(len(deltas)), deltas, facecolor='#0072B2', edgecolor='#0072B2')\n", | |
"ax.grid(True, which='major', c='gray', ls='-', lw=1, alpha=0.2)\n", | |
"ax.set_ylabel('Rate change')\n", | |
"ax.set_xlabel('Potential changepoint')\n", | |
"fig.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"#### Okay!, Lets try 1 changepoint and how does it look" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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xoDtKQ9AgbtrEszbN4flfAd7Z2Tnv2xBiORpMmETSFqsmTb27MJZmU2MQdVIg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\nRERElMbgmIiIiIgo7f8Hwwc7x8+tz+sAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb401f3eb38>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m = Prophet(n_changepoints=1)\n", | |
"m.fit(df)\n", | |
"future = m.make_future_dataframe(periods=74)\n", | |
"forecast = m.predict(future)\n", | |
"fig = m.plot(forecast)\n", | |
"for cp in m.changepoints:\n", | |
" plt.axvline(cp, c='gray', ls='--', lw=2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"59 2017-03-01\n", | |
"Name: ds, dtype: datetime64[ns]" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"m.changepoints" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Playing around with the changepoint prior scale for different regulariztions." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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IJ+hKU/MF1rzRvrXD2rGENe64LRhl3/03nBKBcTdbnFcPmxdIzYLtvnacZcpF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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3fdb57ba8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m = Prophet(changepoint_prior_scale=0.001)\n", | |
"forecast = m.fit(df).predict(future)\n", | |
"m.plot(forecast);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"If the trend changes are being overfit (too much flexibility) or underfit (not enough flexiblity), you can adjust the strength of the sparse prior using the input argument changepoint_prior_scale. By default, this parameter is set to 0.05. Increasing it will make the trend more flexibile:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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uWdMuygi7rsvJ4fTYVDkAy4G64MIsjdJUhYBHw7Qd7r9qKStq/Xz5tU6cMr8p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\nRK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fb3fdb96278>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m = Prophet(changepoint_prior_scale=0.5)\n", | |
"forecast = m.fit(df).predict(future)\n", | |
"m.plot(forecast);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"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": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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