Skip to content

Instantly share code, notes, and snippets.

@bhtucker
Created May 6, 2016 20:43
Show Gist options
  • Save bhtucker/c2fcc0f623e8c9e2d40c4a09253db281 to your computer and use it in GitHub Desktop.
Save bhtucker/c2fcc0f623e8c9e2d40c4a09253db281 to your computer and use it in GitHub Desktop.
Notebook used during RC Data Science Fridays talk (5/6/2016)
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import warnings\n",
"from pandas.core.common import SettingWithCopyWarning\n",
"import math"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from pymc3 import glm, Model, Metropolis, NUTS, sample, traceplot\n",
"from pymc3 import Normal, Model, Uniform, forestplot, Deterministic"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>beta</th>\n",
" <th>normal</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>a</th>\n",
" <td> 0.040814</td>\n",
" <td> 54</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b</th>\n",
" <td> 0.055040</td>\n",
" <td> 45</td>\n",
" </tr>\n",
" <tr>\n",
" <th>c</th>\n",
" <td> 0.034085</td>\n",
" <td> 57</td>\n",
" </tr>\n",
" <tr>\n",
" <th>d</th>\n",
" <td> 0.033265</td>\n",
" <td> 61</td>\n",
" </tr>\n",
" <tr>\n",
" <th>e</th>\n",
" <td> 0.041716</td>\n",
" <td> 73</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" beta normal\n",
"a 0.040814 54\n",
"b 0.055040 45\n",
"c 0.034085 57\n",
"d 0.033265 61\n",
"e 0.041716 73"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from string import ascii_lowercase\n",
"n_brands = 25\n",
"brands = [ascii_lowercase[i] for i in range(n_brands)]\n",
"\n",
"from scipy.stats import beta, norm, geom, scoreatpercentile\n",
"import math\n",
"import pandas as pd\n",
"\n",
"normal_factor = norm(50, 10)\n",
"beta_factor = beta(20, 500)\n",
"\n",
"brand_latent_factors = pd.DataFrame(\n",
" dict(\n",
" normal=normal_factor.rvs(n_brands),\n",
" beta=beta_factor.rvs(n_brands)\n",
" ),\n",
" index=brands)\n",
"brand_latent_factors.normal = brand_latent_factors.normal.map(lambda v: int(math.floor(v)))\n",
"brand_latent_factors.head()"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def generate_page_values(betaval, normval):\n",
" max_engagement = betaval\n",
" min_engagement = .01\n",
" change_ratio = (1 / betaval) / normval\n",
" change_step = (change_ratio * (max_engagement - min_engagement)) / 4.\n",
" page_views_dist = geom(1./((normval + 50 ) * 100))\n",
" page_views = page_views_dist.rvs(5)\n",
" page_views.sort()\n",
" for i in range(4):\n",
" engagement = max_engagement - (change_step * i)\n",
" #views = math.floor(scoreatpercentile(page_views, i * 25))\n",
" views = page_views[i + 1]\n",
" yield [views, engagement]\n",
"\n",
"def generate_brand_data(brand_factor_rows):\n",
" for brand, factors in brand_factor_rows:\n",
" # yield from generate_brand_data(factors['beta'], factors['normal'])\n",
" for observation in generate_page_values(factors['beta'], factors['normal']):\n",
" yield [brand] + observation\n",
"\n",
"brand_data = pd.DataFrame(\n",
" generate_brand_data(brand_latent_factors.iterrows()),\n",
" columns=['brand', 'views', 'engagement']\n",
")\n",
"\n",
"brand_data.index = brand_data.brand\n",
"brand_data.drop('brand', inplace=True, axis=1)\n",
"brand_data['log_views'] = np.log(brand_data['views'])"
]
},
{
"cell_type": "code",
"execution_count": 225,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1332b4ad0>"
]
},
"execution_count": 225,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAESCAYAAAABl4lHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x130caa910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"brand_data.plot(kind='scatter', x='log_views', y='engagement')"
]
},
{
"cell_type": "code",
"execution_count": 230,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x133ab0b10>"
]
},
"execution_count": 230,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAESCAYAAADAEMPrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x133a81410>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"brand_data[brand_data.index == 'o'].plot(kind='scatter', x='log_views', y='engagement')"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"count 25.000000\n",
"mean 0.035592\n",
"std 0.007771\n",
"min 0.021616\n",
"25% 0.030364\n",
"50% 0.034091\n",
"75% 0.039486\n",
"max 0.056570\n",
"Name: engagement, dtype: float64"
]
},
"execution_count": 123,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"brand_data[brand_data.views < 5000].engagement.describe()"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"brand_as_ix = [ascii_lowercase.index(i) for i in brand_data.index]\n",
"brand_data['brand_as_ix'] = brand_as_ix"
]
},
{
"cell_type": "code",
"execution_count": 239,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np, pymc3 as pm, theano.tensor as T\n",
"\n",
"with Model() as both_varying:\n",
" \n",
" # Intercept Priors\n",
" mu_a = Normal('mu_a', mu=.035, tau=0.001) # observed mean: 0.035\n",
" sigma_a = Uniform('sigma_a', lower=0, upper=0.1) # observed std: 0.007253\n",
" tau_a = sigma_a**-2\n",
"\n",
" # Slope Priors\n",
" mu_b = Normal('mu_b', mu=0., tau=0.001)\n",
" sigma_b = Uniform('sigma_b', lower=0, upper=0.05)\n",
" tau_b = sigma_b**-2\n",
" \n",
" # Model intercept\n",
" a = Normal('a', mu=mu_a, tau=tau_a)\n",
" # a = Normal('a', mu=0., tau=0.0001)\n",
" # Random slopes\n",
" b = Normal('b', mu=mu_b, tau=tau_b, shape=len(set(brand_data.index)))\n",
" \n",
" # Model error\n",
" sigma_y = Uniform('sigma_y', lower=0, upper=100)\n",
" tau_y = sigma_y**-2\n",
" \n",
" # Expected value\n",
" y_hat = a + (b[brand_as_ix] * brand_data['log_views'].values)\n",
" #y_hat = a + (b[over_median] * treatment)\n",
" \n",
" ### likelihood\n",
" likelihood = Normal('y', mu=y_hat, sd=sigma_y, observed=brand_data['engagement'].values)\n"
]
},
{
"cell_type": "code",
"execution_count": 240,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 500 of 500 complete in 15.6 sec"
]
}
],
"source": [
"from pymc3 import sample, find_MAP\n",
"\n",
"with both_varying:\n",
" \n",
" step = NUTS()\n",
" # start = find_MAP()\n",
" \n",
" varying_slope_samples = sample(500, step)"
]
},
{
"cell_type": "code",
"execution_count": 233,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{'a': array([ 0.06599193, 0.00601709, 0.07776015, 0.08251815, 0.03436676,\n",
" 0.04949055, 0.02563554, 0.04519897, 0.03484207, 0.02975953,\n",
" -0.00168249, 0.09386796, 0.05423433, 0.00931844, 0.06870997,\n",
" 0.11130784, 0.07488475, 0.0149192 , 0.03977998, 0.02043465,\n",
" 0.0350337 , 0.0336313 , 0.0032093 , 0.01252813, 0.06913568]),\n",
" 'b': -0.012099514757332314,\n",
" 'mu_a': 0.020602467488437661,\n",
" 'mu_b': 0.026862329716568212,\n",
" 'sigma_a': 0.042408066376427182,\n",
" 'sigma_a_interval': -0.30604392776700168,\n",
" 'sigma_b': 0.020704279917347156,\n",
" 'sigma_b_interval': -0.34710099489732149,\n",
" 'sigma_y': 34.171731828024008,\n",
" 'sigma_y_interval': -0.65565060600553482}"
]
},
"execution_count": 233,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"varying_slope_samples[0]"
]
},
{
"cell_type": "code",
"execution_count": 241,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x146930750>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x145c55a50>]], dtype=object)"
]
},
"execution_count": 241,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA1kAAACKCAYAAABYQ4AvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1469990d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tail_length = 200\n",
"traceplot(varying_slope_samples[-tail_length:], vars=['b'])"
]
},
{
"cell_type": "code",
"execution_count": 234,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"count 200.000000\n",
"mean -0.004948\n",
"std 0.000417\n",
"min -0.005820\n",
"25% -0.005289\n",
"50% -0.004956\n",
"75% -0.004636\n",
"max -0.003984\n",
"dtype: float64"
]
},
"execution_count": 234,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.Series([x['b'] for x in varying_slope_samples[-tail_length:]]).describe()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x12c26c950>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x12181d990>]], dtype=object)"
]
},
"execution_count": 133,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA1kAAACKCAYAAABYQ4AvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJBKJRCKROJD/Dz5e62895GJpAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1201ebf50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"traceplot(varying_slope_samples[-tail_length:], vars=['a'])"
]
},
{
"cell_type": "code",
"execution_count": 242,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.gridspec.GridSpec at 0x148738650>"
]
},
"execution_count": 242,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAKSCAYAAACZcn8lAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiKa8ge93rlpBp7pdgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x146930f10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,10))\n",
"forestplot(varying_slope_samples[-tail_length:], vars=['b'])"
]
},
{
"cell_type": "code",
"execution_count": 170,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.gridspec.GridSpec at 0x12e4405d0>"
]
},
"execution_count": 170,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbQAAAKPCAYAAAAFYT+1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12e391b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,10))\n",
"forestplot(varying_slope_samples[-tail_length:], vars=['b'])"
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 6. , 6.20689655, 6.4137931 , 6.62068966,\n",
" 6.82758621, 7.03448276, 7.24137931, 7.44827586,\n",
" 7.65517241, 7.86206897, 8.06896552, 8.27586207,\n",
" 8.48275862, 8.68965517, 8.89655172, 9.10344828,\n",
" 9.31034483, 9.51724138, 9.72413793, 9.93103448,\n",
" 10.13793103, 10.34482759, 10.55172414, 10.75862069,\n",
" 10.96551724, 11.17241379, 11.37931034, 11.5862069 ,\n",
" 11.79310345, 12. ])"
]
},
"execution_count": 157,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#plt.plot(brand_data['log_views'], fit_points(brand_data, varying_slope_samples[-1]))\n",
"np.linspace(6, 12, 30)"
]
},
{
"cell_type": "code",
"execution_count": 158,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def fit_points(points, sample, brand_ix=0):\n",
" return sample['a'][brand_ix] + (sample['b'] * points)\n"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {
"collapsed": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEKCAYAAADzQPVvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGhGAZuw1NDQ0IgDN2GtoaGhEAP8fVU6CtI4lYQAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12cabb650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": []
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {
"collapsed": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEKCAYAAADzQPVvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nU4D/D4Zm6OjIIPwrAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d04df50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(brand_data['log_views'], brand_data['engagement'], 'x', label='data')\n",
"glm.plot_posterior_predictive(varying_slope_samples[-100:], lm=fit_points, eval=brand_data[['log_views', 'brand_as_ix']], samples=30)"
]
},
{
"cell_type": "code",
"execution_count": 235,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAENCAYAAAAPAhLDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118d16810>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from functools import partial\n",
"brand_name = 'c'\n",
"single_brand_data = brand_data[brand_data.index == brand_name]\n",
"plt.plot(single_brand_data['log_views'], single_brand_data['engagement'], 'x', label='data')\n",
"glm.plot_posterior_predictive(\n",
" varying_slope_samples[-30:],\n",
" lm=partial(fit_points, brand_ix=ascii_lowercase.index(brand_name)),\n",
" eval=np.linspace(6, 11, 30),\n",
" samples=10)"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEKCAYAAAAIO8L1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2v7P4ScVu6QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12122c250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"single_brand_data = brand_data[brand_data.index == 'p']\n",
"plt.plot(single_brand_data['views'], single_brand_data['engagement'], 'x', label='data')\n",
"glm.plot_posterior_predictive(varying_slope_samples[-30:], lm=fit_points, eval=single_brand_data, samples=10)"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": true
},
"outputs": [
{
"data": {
"text/plain": [
"[{'a': array([ 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971]),\n",
" 'b': -1.5e-06,\n",
" 'mu_a': 0.034971000000000002,\n",
" 'mu_b': -0.092964320543850607,\n",
" 'sigma_a': 2.0969923527858355e-95,\n",
" 'sigma_a_interval': -215.0093474557074,\n",
" 'sigma_b': 0.049727520227933392,\n",
" 'sigma_b_interval': 5.2067494053548931,\n",
" 'sigma_y': 0.010729750925267614,\n",
" 'sigma_y_interval': -9.1397978182603961},\n",
" {'a': array([ 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971]),\n",
" 'b': -1.5e-06,\n",
" 'mu_a': 0.034971000000000002,\n",
" 'mu_b': -0.066170020475096819,\n",
" 'sigma_a': 2.0969923527858355e-95,\n",
" 'sigma_a_interval': -215.0093474557074,\n",
" 'sigma_b': 0.046940779416180613,\n",
" 'sigma_b_interval': 2.7307266224555198,\n",
" 'sigma_y': 0.010729750925267614,\n",
" 'sigma_y_interval': -9.1397978182603961},\n",
" {'a': array([ 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971]),\n",
" 'b': -1.5e-06,\n",
" 'mu_a': 0.034971000000000002,\n",
" 'mu_b': -0.066170020475096819,\n",
" 'sigma_a': 2.0969923527858355e-95,\n",
" 'sigma_a_interval': -215.0093474557074,\n",
" 'sigma_b': 0.036107809419184976,\n",
" 'sigma_b_interval': 0.95518231581127377,\n",
" 'sigma_y': 0.010729750925267614,\n",
" 'sigma_y_interval': -9.1397978182603961},\n",
" {'a': array([ 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971]),\n",
" 'b': -1.5e-06,\n",
" 'mu_a': 0.034971000000000002,\n",
" 'mu_b': -0.066170020475096819,\n",
" 'sigma_a': 2.0969923527858355e-95,\n",
" 'sigma_a_interval': -215.0093474557074,\n",
" 'sigma_b': 0.036107809419184976,\n",
" 'sigma_b_interval': 0.95518231581127377,\n",
" 'sigma_y': 0.010729750925267614,\n",
" 'sigma_y_interval': -9.1397978182603961},\n",
" {'a': array([ 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971, 0.034971, 0.034971, 0.034971, 0.034971, 0.034971,\n",
" 0.034971]),\n",
" 'b': -1.5e-06,\n",
" 'mu_a': 0.034971000000000002,\n",
" 'mu_b': -0.035050461136181446,\n",
" 'sigma_a': 1.2694467457330259e-95,\n",
" 'sigma_a_interval': -215.51127038860668,\n",
" 'sigma_b': 0.036107809419184976,\n",
" 'sigma_b_interval': 0.95518231581127377,\n",
" 'sigma_y': 0.010729750925267614,\n",
" 'sigma_y_interval': -9.1397978182603961}]"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(varying_slope_samples[-5:])"
]
},
{
"cell_type": "code",
"execution_count": 163,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"x_data = pd.concat([\n",
" pd.get_dummies(brand_data['brand_as_ix']),\n",
" brand_data['log_views']\n",
" ], axis=1)\n",
"y_data = brand_data['engagement']"
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.linear_model import LinearRegression"
]
},
{
"cell_type": "code",
"execution_count": 200,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lr = LinearRegression(fit_intercept=False)"
]
},
{
"cell_type": "code",
"execution_count": 201,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"LinearRegression(copy_X=True, fit_intercept=False, normalize=False)"
]
},
"execution_count": 201,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lr.fit(x_data, y_data)"
]
},
{
"cell_type": "code",
"execution_count": 202,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.08059898, 0.09678038, 0.07729779, 0.07615756, 0.08870992,\n",
" 0.0864719 , 0.06802604, 0.09486475, 0.07472946, 0.07112014,\n",
" 0.07938368, 0.0737983 , 0.07168202, 0.07914102, 0.07504689,\n",
" 0.0615253 , 0.08786908, 0.07027599, 0.07172468, 0.07590759,\n",
" 0.07925751, 0.07001018, 0.07655882, 0.0870898 , 0.08065626,\n",
" -0.00511643])"
]
},
"execution_count": 202,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lr.coef_"
]
},
{
"cell_type": "code",
"execution_count": 186,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"25"
]
},
"execution_count": 186,
"metadata": {},
"output_type": "execute_result"
}
],
"source": []
},
{
"cell_type": "code",
"execution_count": 203,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pooled_fixed_effects = np.mean([x['a'] for x in varying_slope_samples[-50:]], axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 204,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"unpooled_fixed_effects = lr.coef_[:25]"
]
},
{
"cell_type": "code",
"execution_count": 205,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x12f31cf50>"
]
},
"execution_count": 205,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFXCAYAAABtOQ2RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSVLB/j/zrKW3eoqxNAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12f1c2e90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(pooled_fixed_effects, range(25), color='red')\n",
"plt.scatter(unpooled_fixed_effects, range(25), color='blue')"
]
},
{
"cell_type": "code",
"execution_count": 184,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 206,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x12f359c10>"
]
},
"execution_count": 206,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAekAAAFXCAYAAACGDraSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIYTwU/8L5kyu7lRIXusAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12f31f710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(pooled_fixed_effects)\n",
"sns.kdeplot(unpooled_fixed_effects)"
]
},
{
"cell_type": "code",
"execution_count": 187,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAFhCAYAAACGfVh6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIAiCIFwC/n9gNfHwK+WHgAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12ee80610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from functools import partial\n",
"brand_name = 'e'\n",
"single_brand_data = brand_data[brand_data.index == brand_name]\n",
"plt.plot(single_brand_data['log_views'], single_brand_data['engagement'], 'x', label='data')\n",
"glm.plot_posterior_predictive(\n",
" varying_slope_samples[-30:],\n",
" lm=partial(fit_points, brand_ix=ascii_lowercase.index(brand_name)),\n",
" eval=np.linspace(6, 11, 30),\n",
" samples=10)\n"
]
},
{
"cell_type": "code",
"execution_count": 196,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.04032596])"
]
},
"execution_count": 196,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lr.predict(x_data.head(1))"
]
},
{
"cell_type": "code",
"execution_count": 199,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-0.037854683899393039"
]
},
"execution_count": 199,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unpooled_fixed_effects[0] + (-0.00511643 * 7.87)"
]
},
{
"cell_type": "code",
"execution_count": 216,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with Model() as tighter_priors:\n",
" \n",
" # Intercept Priors\n",
" mu_a = Normal('mu_a', mu=.08, tau=1) # observed mean: 0.035\n",
" sigma_a = Uniform('sigma_a', lower=0, upper=0.004) # observed std: 0.007253\n",
" tau_a = sigma_a**-2\n",
"\n",
" # Slope Priors\n",
" mu_b = Normal('mu_b', mu=0., tau=0.001)\n",
" sigma_b = Uniform('sigma_b', lower=0, upper=0.05)\n",
" tau_b = sigma_b**-2\n",
" \n",
" # Model intercept\n",
" a = Normal('a', mu=mu_a, tau=tau_a, shape=len(set(brand_data.index)))\n",
" # a = Normal('a', mu=0., tau=0.0001)\n",
" # Random slopes\n",
" b = Normal('b', mu=mu_b, tau=tau_b)\n",
" \n",
" # Model error\n",
" sigma_y = Uniform('sigma_y', lower=0, upper=100)\n",
" tau_y = sigma_y**-2\n",
" \n",
" # Expected value\n",
" y_hat = a[brand_as_ix] + (b * brand_data['log_views'].values)\n",
" #y_hat = a + (b[over_median] * treatment)\n",
" \n",
" ### likelihood\n",
" likelihood = Normal('y', mu=y_hat, sd=sigma_y, observed=brand_data['engagement'].values)\n"
]
},
{
"cell_type": "code",
"execution_count": 217,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 500 of 500 complete in 272.5 sec"
]
}
],
"source": [
"with tighter_priors:\n",
" \n",
" step = NUTS()\n",
" # start = find_MAP()\n",
" \n",
" tighter_prior_samples = sample(500, step)"
]
},
{
"cell_type": "code",
"execution_count": 238,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x132847650>"
]
},
"execution_count": 238,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEDCAYAAAA7jc+ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n57I/xyMe1UQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13cafd2d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"initial_tightly_pooled_fixed_effects = np.mean([x['a'] for x in tighter_prior_samples[40:80]], axis=0)\n",
"final_tightly_pooled_fixed_effects = np.mean([x['a'] for x in tighter_prior_samples[-40:]], axis=0)\n",
"sns.kdeplot(initial_tightly_pooled_fixed_effects)\n",
"sns.kdeplot(final_tightly_pooled_fixed_effects)\n",
"#sns.kdeplot(unpooled_fixed_effects)"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x13966bdd0>"
]
},
"execution_count": 223,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAesAAAFXCAYAAACC+2avAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncCRrAACC+3dAXhZvBEe19QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x120276490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(initial_tightly_pooled_fixed_effects, range(25), color='red')\n",
"plt.scatter(final_tightly_pooled_fixed_effects, range(25), color='blue')\n",
"plt.scatter(unpooled_fixed_effects, range(25), color='gray')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment