Skip to content

Instantly share code, notes, and snippets.

@bnaul
Last active November 14, 2016 05:24
Show Gist options
  • Save bnaul/9285b0f8817b9fb1b0225ce98de65638 to your computer and use it in GitHub Desktop.
Save bnaul/9285b0f8817b9fb1b0225ce98de65638 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"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>t</th>\n",
" <th>red_pos_X</th>\n",
" <th>red_pos_Y</th>\n",
" <th>blue_pos_X</th>\n",
" <th>blue_pos_Y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>233</th>\n",
" <td>809.368241</td>\n",
" <td>1.514013</td>\n",
" <td>-0.846253</td>\n",
" <td>1.321558</td>\n",
" <td>0.461023</td>\n",
" </tr>\n",
" <tr>\n",
" <th>234</th>\n",
" <td>812.091012</td>\n",
" <td>1.542337</td>\n",
" <td>-0.762310</td>\n",
" <td>1.259818</td>\n",
" <td>0.439519</td>\n",
" </tr>\n",
" <tr>\n",
" <th>235</th>\n",
" <td>813.556525</td>\n",
" <td>1.482332</td>\n",
" <td>-0.777049</td>\n",
" <td>1.352965</td>\n",
" <td>0.447390</td>\n",
" </tr>\n",
" <tr>\n",
" <th>236</th>\n",
" <td>818.180156</td>\n",
" <td>1.497663</td>\n",
" <td>-0.792512</td>\n",
" <td>1.368122</td>\n",
" <td>0.446235</td>\n",
" </tr>\n",
" <tr>\n",
" <th>237</th>\n",
" <td>822.036550</td>\n",
" <td>1.498366</td>\n",
" <td>-0.810204</td>\n",
" <td>1.302457</td>\n",
" <td>0.458900</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" t red_pos_X red_pos_Y blue_pos_X blue_pos_Y\n",
"233 809.368241 1.514013 -0.846253 1.321558 0.461023\n",
"234 812.091012 1.542337 -0.762310 1.259818 0.439519\n",
"235 813.556525 1.482332 -0.777049 1.352965 0.447390\n",
"236 818.180156 1.497663 -0.792512 1.368122 0.446235\n",
"237 822.036550 1.498366 -0.810204 1.302457 0.458900"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import pymc3 as pm\n",
"\n",
"data = pd.read_csv('location_data_hw9.csv')\n",
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def build_model(data, equal_speed=False):\n",
" with pm.Model() as model:\n",
" x0_red = pm.Normal('x0_red', 1.4, 0.1)\n",
" y0_red = pm.Normal('y0_red', 1., 0.1)\n",
" x0_blue = pm.Normal('x0_blue', 1.2, 0.1)\n",
" y0_blue = pm.Normal('y0_blue', -1.3, 0.1)\n",
"\n",
" if not equal_speed:\n",
" v_x_red = pm.Normal('v_x_red', 0., 0.1)\n",
" v_y_red = pm.Normal('v_y_red', 0., 0.1)\n",
" v_x_blue = pm.Normal('v_x_blue', 0., 0.1)\n",
" v_y_blue = pm.Normal('v_y_blue', 0., 0.1)\n",
" else:\n",
" speed = pm.Exponential('speed', 0.002)\n",
" theta_red = pm.Uniform('theta_red', 0, 2 * np.pi)\n",
" theta_blue = pm.Uniform('theta_blue', 0, 2 * np.pi)\n",
"\n",
" v_x_red = pm.Deterministic('v_x_red', speed * np.cos(theta_red))\n",
" v_y_red = pm.Deterministic('v_y_red', speed * np.sin(theta_red))\n",
" v_x_blue = pm.Deterministic('v_x_blue', speed * np.cos(theta_blue))\n",
" v_y_blue = pm.Deterministic('v_y_blue', speed * np.sin(theta_blue))\n",
"\n",
" x_red = pm.Deterministic('x_red', x0_red + data.t.values * v_x_red)\n",
" y_red = pm.Deterministic('y_red', y0_red + data.t.values * v_y_red)\n",
" x_blue = pm.Deterministic('x_blue', x0_blue + data.t.values * v_x_blue)\n",
" y_blue = pm.Deterministic('y_blue', y0_blue + data.t.values * v_y_blue)\n",
"\n",
" sigma_red = pm.Exponential('sigma_red', 0.01)\n",
" sigma_blue = pm.Exponential('sigma_blue', 0.01)\n",
"\n",
" x_red_est = pm.Normal('x_red_est', x_red, sigma_red, observed=data.red_pos_X)\n",
" y_red_est = pm.Normal('y_red_est', y_red, sigma_red, observed=data.red_pos_Y)\n",
" x_blue_est = pm.Normal('x_blue_est', x_blue, sigma_blue, observed=data.blue_pos_X)\n",
" y_blue_est = pm.Normal('y_blue_est', y_blue, sigma_blue, observed=data.blue_pos_Y)\n",
" \n",
" return model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Applied log-transform to sigma_red and added transformed sigma_red_log_ to model.\n",
"Applied log-transform to sigma_blue and added transformed sigma_blue_log_ to model.\n",
"100%|██████████| 50000/50000 [00:30<00:00, 1643.78it/s]\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAHcCAYAAAAkxjdYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHypWiEECBSasAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110b1ab70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# part (a)\n",
"model = build_model(data, equal_speed=False)\n",
"with model:\n",
" step = pm.Metropolis()\n",
" trace = pm.sample(50000, step=step)\n",
"samples = trace[5000:][::10]\n",
"speed_red_post = np.sqrt(samples['v_x_red'] ** 2 + samples['v_y_red'] ** 2)\n",
"speed_blue_post = np.sqrt(samples['v_x_blue'] ** 2 + samples['v_y_blue'] ** 2)\n",
"sns.distplot(speed_red_post, color=sns.color_palette()[2])\n",
"sns.distplot(speed_blue_post, color=sns.color_palette()[0]);"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"90% credible interval: (591.6602773700182, 597.5944771376237)\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArAAAAHcCAYAAAAumpkKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ce447b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# part (b)\n",
"t0_red = - samples['y0_red'] / samples['v_y_red']\n",
"t0_blue = - samples['y0_blue'] / samples['v_y_blue']\n",
"t0_both = np.maximum(t0_red, t0_blue)\n",
"sns.distplot(t0_both)\n",
"plt.axvline(np.percentile(t0_both, 5), linestyle='dotted', color='k')\n",
"plt.axvline(np.percentile(t0_both, 95), linestyle='dotted', color='k')\n",
"print(\"90% credible interval: ({}, {})\".format(*np.percentile(t0_both, [5, 95])))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Applied log-transform to speed and added transformed speed_log_ to model.\n",
"Applied interval-transform to theta_red and added transformed theta_red_interval_ to model.\n",
"Applied interval-transform to theta_blue and added transformed theta_blue_interval_ to model.\n",
"Applied log-transform to sigma_red and added transformed sigma_red_log_ to model.\n",
"Applied log-transform to sigma_blue and added transformed sigma_blue_log_ to model.\n",
"100%|██████████| 50000/50000 [00:34<00:00, 1436.16it/s]\n"
]
}
],
"source": [
"# part (c)\n",
"model = build_model(data, equal_speed=True)\n",
"with model:\n",
" step = pm.Metropolis()\n",
" trace = pm.sample(50000, step=step)\n",
"samples = trace[5000:][::10]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x12a3ebf98>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAHcCAYAAAAkxjdYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12a3eba90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"speed_post = samples['speed']\n",
"sns.distplot(speed_post, color=sns.color_palette()[3])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"90% credible interval: (591.5513214507404, 596.3977040368281)\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArAAAAHcCAYAAAAumpkKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110c7a7b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t0_red = - samples['y0_red'] / samples['v_y_red']\n",
"t0_blue = - samples['y0_blue'] / samples['v_y_blue']\n",
"t0_both = np.maximum(t0_red, t0_blue)\n",
"sns.distplot(t0_both)\n",
"plt.axvline(np.percentile(t0_both, 5), linestyle='dotted', color='k')\n",
"plt.axvline(np.percentile(t0_both, 95), linestyle='dotted', color='k')\n",
"print(\"90% credible interval: ({}, {})\".format(*np.percentile(t0_both, [5, 95])))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Applied log-transform to sigma_red and added transformed sigma_red_log_ to model.\n",
"Applied log-transform to sigma_blue and added transformed sigma_blue_log_ to model.\n",
"100%|██████████| 50000/50000 [00:30<00:00, 1623.82it/s]\n"
]
}
],
"source": [
"# part (d.i)\n",
"model = build_model(data[:100], equal_speed=False)\n",
"with model:\n",
" step = pm.Metropolis()\n",
" trace = pm.sample(50000, step=step)\n",
"samples = trace[5000:][::10]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAHcCAYAAAA++tfWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ec2d9b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"speed_red_post = np.sqrt(samples['v_x_red'] ** 2 + samples['v_y_red'] ** 2)\n",
"speed_blue_post = np.sqrt(samples['v_x_blue'] ** 2 + samples['v_y_blue'] ** 2)\n",
"sns.distplot(speed_red_post, color=sns.color_palette()[2])\n",
"sns.distplot(speed_blue_post, color=sns.color_palette()[0]);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"90% credible interval: (553.7163823773528, 592.6293220266554)\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArgAAAHcCAYAAAA9Tdn+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1107795f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t0_red = - samples['y0_red'] / samples['v_y_red']\n",
"t0_blue = - samples['y0_blue'] / samples['v_y_blue']\n",
"t0_both = np.maximum(t0_red, t0_blue)\n",
"sns.distplot(t0_both)\n",
"plt.axvline(np.percentile(t0_both, 5), linestyle='dotted', color='k')\n",
"plt.axvline(np.percentile(t0_both, 95), linestyle='dotted', color='k');\n",
"print(\"90% credible interval: ({}, {})\".format(*np.percentile(t0_both, [5, 95])))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Applied log-transform to speed and added transformed speed_log_ to model.\n",
"Applied interval-transform to theta_red and added transformed theta_red_interval_ to model.\n",
"Applied interval-transform to theta_blue and added transformed theta_blue_interval_ to model.\n",
"Applied log-transform to sigma_red and added transformed sigma_red_log_ to model.\n",
"Applied log-transform to sigma_blue and added transformed sigma_blue_log_ to model.\n",
"100%|██████████| 50000/50000 [00:32<00:00, 1525.30it/s]\n"
]
}
],
"source": [
"# part (d.ii)\n",
"model = build_model(data[:100], equal_speed=True)\n",
"with model:\n",
" step = pm.Metropolis()\n",
" trace = pm.sample(50000, step=step)\n",
"samples = trace[5000:][::10]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x12869dd30>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAHcCAYAAAAkxjdYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIionMwSSYiIiIiOsf/B/n59yrSlQ9DAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12a3eb630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"speed_post = samples['speed']\n",
"sns.distplot(speed_post, color=sns.color_palette()[3])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"90% credible interval: (571.9916928189472, 592.1273405503664)\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArAAAAHcCAYAAAAumpkKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nytKYv0/+mZkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x129df8d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t0_red = - samples['y0_red'] / samples['v_y_red']\n",
"t0_blue = - samples['y0_blue'] / samples['v_y_blue']\n",
"t0_both = np.maximum(t0_red, t0_blue)\n",
"sns.distplot(t0_both)\n",
"plt.axvline(np.percentile(t0_both, 5), linestyle='dotted', color='k')\n",
"plt.axvline(np.percentile(t0_both, 95), linestyle='dotted', color='k');\n",
"print(\"90% credible interval: ({}, {})\".format(*np.percentile(t0_both, [5, 95])))"
]
}
],
"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": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment