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Last active April 29, 2019 20:15
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PyMC3 examples - 1
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"## Import numpy to give us math ops; alias to np\n",
"import numpy as np\n",
"from numpy.random import normal as rnormal\n",
"\n",
"import pandas as pd\n",
"\n",
"## Matplotlib to make our plots\n",
"from matplotlib import pyplot as plt\n",
"\n",
"\n",
"## Import the PyMC3 package as a whole\n",
"import pymc3 as pm3\n",
"\n",
"## Pull out some distributions and functions from PyMC3 so we don't\n",
"## have to keep specifying pm3.function everything\n",
"from pymc3 import sample, Normal, HalfCauchy, Lognormal, Deterministic, Exponential, MvNormal, LKJCholeskyCov\n",
"from pymc3 import plots as pmplots\n",
"\n",
"## This is needed to stack tensors (only for the last complicated model)\n",
"import theano.tensor as tt\n",
"\n",
"\n",
"######### IGNORE #######\n",
"# import pymc4 as pm4\n",
"# import tensorflow as tf\n",
"# from tensorflow_probability import edward2 as ed\n",
"# from tensorflow_probability import distributions as tfd\n",
"######### IGNORE #######\n",
"\n",
"\n",
"## PyMC3 uses arviz for their own plotting\n",
"import arviz as az\n",
"\n",
"## We want to plot inline\n",
"%matplotlib inline\n",
"\n",
"## Some jupyter mumbojumbo\n",
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data Generating Process:\n",
"\n",
"$$ Y = \\alpha + \\beta X + \\epsilon $$ \n",
"$$ \\epsilon \\sim \\mathcal{N}(0, \\sigma^2) $$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"## Original params {WE SET THESE!}\n",
"alpha_raw = 0.1\n",
"beta_raw = 0.5\n",
"sigma_raw = 0.25\n",
"N = 10000\n",
"\n",
"## Simulating random Xs of size N\n",
"x = np.random.normal(loc = 0.0, scale = 1.0, size = N) \n",
"\n",
"### np.random.normal = simulate from a rand\n",
"\n",
"## Simulate errors\n",
"errors_raw = np.random.normal(loc = 0.0, scale = sigma_raw, size = N)\n",
"\n",
"## DGP of Y\n",
"y = alpha_raw + beta_raw * x + errors_raw"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#### Defining the \"canvas\" size\n",
"fig = plt.figure(figsize=(10, 7)) ### Size\n",
"\n",
"### We add our first (1) plot in : row 1, col 1,\n",
"ax = fig.add_subplot(121, xlabel='X-values', ylabel='Y-values') ### 111 == 1 row; 1 column; index of 1\n",
"\n",
"ax.plot(x, y, '*', label='Sampled Data') ## Add the actual plot\n",
"\n",
"plt.legend(loc=0); ## Plot legend"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model 1: simple Bayesian linear regression with uninformative priors"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$ Y = \\alpha + \\beta X + \\epsilon $$ \n",
"$$ \\epsilon \\sim \\mathcal{N}(0, \\sigma^2) $$ \n",
"Combining the first two assumptions:\n",
"$$ Y \\sim \\mathcal{N}(\\alpha + \\beta X, \\sigma^2) $$ \n",
"$$ \\alpha \\sim \\mathcal{N}(0, 20) $$ \n",
"$$ \\beta \\sim \\mathcal{N}(0, 20) $$ \n",
"$$ \\sigma \\sim \\text{Lognormal}(1, 20) $$ "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.6/site-packages/pymc3/tuning/starting.py:61: UserWarning: find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.\n",
" warnings.warn('find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.')\n",
"logp = -509.84, ||grad|| = 3,793.1: 100%|██████████| 19/19 [00:00<00:00, 1045.06it/s] \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'intercept': array(0.09998261), 'slope': array(0.50112988), 'sigma_log__': array(-1.38215161), 'sigma': array(0.25103783)}\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (3 chains in 3 jobs)\n",
"NUTS: [sigma, slope, intercept]\n",
"Sampling 3 chains: 100%|██████████| 4500/4500 [00:05<00:00, 869.14draws/s] \n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>intercept</th>\n",
" <td>0.1000</td>\n",
" <td>0.0025</td>\n",
" <td>0.0</td>\n",
" <td>0.0952</td>\n",
" <td>0.1050</td>\n",
" <td>4277.5467</td>\n",
" <td>0.9996</td>\n",
" </tr>\n",
" <tr>\n",
" <th>slope</th>\n",
" <td>0.5011</td>\n",
" <td>0.0024</td>\n",
" <td>0.0</td>\n",
" <td>0.4964</td>\n",
" <td>0.5060</td>\n",
" <td>3735.2701</td>\n",
" <td>0.9999</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma</th>\n",
" <td>0.2511</td>\n",
" <td>0.0018</td>\n",
" <td>0.0</td>\n",
" <td>0.2477</td>\n",
" <td>0.2546</td>\n",
" <td>4574.0134</td>\n",
" <td>0.9999</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"intercept 0.1000 0.0025 0.0 0.0952 0.1050 4277.5467 0.9996\n",
"slope 0.5011 0.0024 0.0 0.4964 0.5060 3735.2701 0.9999\n",
"sigma 0.2511 0.0018 0.0 0.2477 0.2546 4574.0134 0.9999"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Run simple linear regression\n",
"with pm3.Model() as model1: # model specifications in PyMC3 are wrapped in a with-statement\n",
" \n",
" # Define priors\n",
" intercept = Normal('intercept', 0, sd = 20)\n",
" slope = Normal('slope', 0, sd = 20)\n",
" sigma = Lognormal('sigma', 1, 20) ## Variance must be a positive number, hence choose strictly positive prior\n",
"\n",
" # Define likelihood\n",
" likelih00d = Normal('LL', \n",
" mu = intercept + slope * x, \n",
" sd = sigma, \n",
" observed = y)\n",
"\n",
" # Get initial value for MCMC by getting the Maximum A-Posteriori estimate\n",
" #### WHY IS THIS IMPORTANT????\n",
" start = pm3.find_MAP()\n",
"# start= {'sigma_log__': array(0), 'intercept': array(0), 'slope': array(0), 'sigma': array(0)}\n",
" print(start)\n",
" \n",
" \n",
" #### Picking our MCMC sampler and getting posterior distribution ####\n",
" \n",
" # Picking our MCMC sampler: Use the No-U-Turn Sampler\n",
" step = pm3.NUTS()\n",
"\n",
" # Posterior sampling\n",
" post_samples = 1000\n",
" \n",
" trace1 = sample(draws=post_samples, # How many posterior draws?\n",
" start=start, # Starting points of the parameter\n",
" step=step, # What should we use to do to the sampling? (method)\n",
" chains=3, # Number of Markov chains / workers\n",
" cores=3) # draw posterior samples using NUTS sampling\n",
" \n",
"pm3.summary(trace1).round(4)\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Plot predicted Y from the last 500 draws of the parameters\n",
"plot_samps = 500\n",
"intercept_draws = trace1.get_values('intercept')[-plot_samps:]\n",
"slope_draws = trace1.get_values('slope')[-plot_samps:]\n",
"\n",
"## Create our predictions\n",
"predicted_y_manual = np.empty(shape = (plot_samps,N))\n",
"for d in range(plot_samps):\n",
" predicted_y_manual[d,:] = slope_draws[0] * x + intercept_draws[0]\n",
" \n",
"fig = plt.figure(figsize=(7, 7))\n",
"ax = fig.add_subplot(111, xlabel='x', ylabel='y')\n",
"ax.plot(x, y, '.', alpha = 0.1)\n",
"for d in range(plot_samps):\n",
" ax.plot(x, predicted_y_manual[d,:], color = 'red', alpha = .5)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x2aabf89905c0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x2aabf8a2f6a0>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x2aabf8a538d0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x2aabf8a7ab00>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x2aabf8aa5d30>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x2aabf8acef60>]],\n",
" dtype=object)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm3.traceplot(trace1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model 2: how does our priors affect the posteriors?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$ Y = \\alpha + \\beta X + \\epsilon $$ \n",
"$$ \\epsilon \\sim \\mathcal{N}(0, \\sigma^2) $$ \n",
"$$ \\alpha \\sim \\mathcal{N}(5, 0.005) \\text{ [the only change]} $$ \n",
"$$ \\beta \\sim \\mathcal{N}(0, 20) $$ \n",
"$$ \\sigma \\sim \\text{Lognormal}(1, 20) $$ "
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.6/site-packages/pymc3/tuning/starting.py:61: UserWarning: find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.\n",
" warnings.warn('find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.')\n",
"logp = -30,039, ||grad|| = 180.05: 100%|██████████| 16/16 [00:00<00:00, 1007.63it/s] \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'sigma_log__': array(1.57906701), 'intercept': array(4.94852577), 'slope': array(0.55422658), 'sigma': array(4.8504283)}\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [slope, intercept, sigma]\n",
"Sampling 2 chains: 100%|██████████| 7000/7000 [00:07<00:00, 932.78draws/s] \n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>intercept</th>\n",
" <td>4.9486</td>\n",
" <td>0.0051</td>\n",
" <td>0.0000</td>\n",
" <td>4.9392</td>\n",
" <td>4.9593</td>\n",
" <td>8631.3278</td>\n",
" <td>0.9998</td>\n",
" </tr>\n",
" <tr>\n",
" <th>slope</th>\n",
" <td>0.5542</td>\n",
" <td>0.0483</td>\n",
" <td>0.0005</td>\n",
" <td>0.4646</td>\n",
" <td>0.6540</td>\n",
" <td>9512.8407</td>\n",
" <td>1.0000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma</th>\n",
" <td>4.8512</td>\n",
" <td>0.0339</td>\n",
" <td>0.0004</td>\n",
" <td>4.7846</td>\n",
" <td>4.9171</td>\n",
" <td>8336.4250</td>\n",
" <td>0.9999</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"intercept 4.9486 0.0051 0.0000 4.9392 4.9593 8631.3278 0.9998\n",
"slope 0.5542 0.0483 0.0005 0.4646 0.6540 9512.8407 1.0000\n",
"sigma 4.8512 0.0339 0.0004 4.7846 4.9171 8336.4250 0.9999"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Run simple linear regression, but with informative priors\n",
"with pm3.Model() as model2: \n",
" # Define priors\n",
" sigma = Lognormal('sigma', 1, 20)\n",
" intercept = Normal('intercept', 5, sd=0.005)\n",
" slope = Normal('slope', 0, sd = 20)\n",
"\n",
" # Define likelihood\n",
" likelihood = Normal('y', \n",
" mu=intercept + slope * x,\n",
" sd=sigma, \n",
" observed=y)\n",
"\n",
" # Use Maximum A Posteriori (MAP) optimisation as initial value for MCMC\n",
" start = pm3.find_MAP()\n",
" print(start)\n",
"\n",
" # Use the No-U-Turn Sampler\n",
" step = pm3.NUTS()\n",
"\n",
" # Inference\n",
" post_samples = 3000\n",
" trace2 = sample(draws=post_samples, \n",
" start=start, \n",
" step=step, \n",
" chains = 2, \n",
" cores=2) # draw posterior samples using NUTS sampling\n",
" \n",
"pm3.summary(trace2).round(4)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Plot predicted Y from the last 500 draws of the parameters\n",
"plot_samps = 500\n",
"intercept_draws2 = trace2.get_values('intercept')[-plot_samps:]\n",
"slope_draws2 = trace2.get_values('slope')[-plot_samps:]\n",
"\n",
"## Create our predictions\n",
"predicted_y_manual2 = np.empty(shape = (plot_samps,N))\n",
"for d in range(plot_samps):\n",
" predicted_y_manual2[d,:] = slope_draws2[0] * x + intercept_draws2[0]\n",
" \n",
"fig = plt.figure(figsize=(7, 7))\n",
"ax = fig.add_subplot(111, xlabel='x', ylabel='y')\n",
"ax.plot(x, y, '.', alpha = 0.3)\n",
"\n",
"for d in range(plot_samps):\n",
" ax.plot(x, predicted_y_manual[d,:], color = 'green', alpha = .5)\n",
" ax.plot(x, predicted_y_manual2[d,:], color = 'red', alpha = .5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model 3: Exponential process\n",
"\n",
"$$ Y = \\lambda \\cdot \\exp (-\\lambda X) + \\epsilon $$ \n",
"$$ \\epsilon \\sim \\mathcal{N}(0, \\sigma^2) $$ "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Original params {WE SET THESE!}\n",
"lambda_raw = 1.5\n",
"sigma_raw = 0.15\n",
"N = 10000\n",
"\n",
"## Create Xs from 0 to MAX_X, split into size N\n",
"MAX_X = 2.\n",
"x = np.arange(0.0, MAX_X, step=MAX_X/N)\n",
"\n",
"\n",
"## Simulate errors\n",
"errors_raw = np.random.normal(loc = 0.0, scale = sigma_raw, size = N)\n",
"\n",
"## DGP of Y\n",
"y = lambda_raw*np.exp(-1*lambda_raw*x) + errors_raw\n",
"\n",
"## Plot\n",
"fig = plt.figure(figsize=(7, 7))\n",
"ax = fig.add_subplot(111, xlabel='x', ylabel='y')\n",
"ax.plot(x, y, 'x', label='Sampled Data')\n",
"plt.legend(loc=0);"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO (theano.gof.compilelock): Refreshing lock /ihme/homes/sadatnfs/.theano/compiledir_Linux-3.10-el7.x86_64-x86_64-with-debian-buster-sid--3.6.5-64/lock_dir/lock\n",
"/opt/conda/lib/python3.6/site-packages/pymc3/tuning/starting.py:61: UserWarning: find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.\n",
" warnings.warn('find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.')\n",
"logp = 4,918.6, ||grad|| = 6.3507: 100%|██████████| 14/14 [00:00<00:00, 591.43it/s] \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'sigma_log__': array(-1.91143632), 'rate': array(1.49773167), 'sigma': array(0.14786785)}\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (3 chains in 3 jobs)\n",
"NUTS: [rate, sigma]\n",
"Sampling 3 chains: 100%|██████████| 10500/10500 [00:15<00:00, 678.14draws/s]\n"
]
},
{
"data": {
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>rate</th>\n",
" <td>1.4977</td>\n",
" <td>0.0052</td>\n",
" <td>0.0001</td>\n",
" <td>1.4875</td>\n",
" <td>1.5076</td>\n",
" <td>8861.1989</td>\n",
" <td>1.0001</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma</th>\n",
" <td>0.1479</td>\n",
" <td>0.0011</td>\n",
" <td>0.0000</td>\n",
" <td>0.1459</td>\n",
" <td>0.1501</td>\n",
" <td>9742.7690</td>\n",
" <td>1.0001</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"rate 1.4977 0.0052 0.0001 1.4875 1.5076 8861.1989 1.0001\n",
"sigma 0.1479 0.0011 0.0000 0.1459 0.1501 9742.7690 1.0001"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"## Fit model\n",
"with pm3.Model() as model3: \n",
" # Define priors\n",
" sigma = Lognormal('sigma', 0, 20)\n",
" rate = Normal('rate', 0, sd = 20)\n",
"\n",
" # Define likelihood\n",
" likelihood = Normal('y', \n",
" mu=rate*np.exp(-1*rate*x),\n",
" sd=sigma, \n",
" observed=y)\n",
"\n",
" # Use Maximum A Posteriori (MAP) optimisation as initial value for MCMC\n",
" start = pm3.find_MAP()\n",
" print(start)\n",
"\n",
" # Use the No-U-Turn Sampler\n",
" step = pm3.NUTS()\n",
"\n",
" # Inference\n",
" post_samples = 3000\n",
" trace4 = sample(draws=post_samples, \n",
" start=start, \n",
" step=step, \n",
" chains=3, \n",
" cores=3) # draw posterior samples using NUTS sampling\n",
" \n",
"pm3.summary(trace4).round(4)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Plot predicted Y from the last 500 draws of the parameters\n",
"plot_samps = 500\n",
"rate_draws = trace4.get_values('rate')[-plot_samps:]\n",
"\n",
"## Create our predictions\n",
"predicted_y_manual = np.empty(shape = (plot_samps,N))\n",
"for d in range(plot_samps):\n",
" predicted_y_manual[d,:] = rate_draws[0]*np.exp(-1*rate_draws[0]*x)\n",
" \n",
"fig = plt.figure(figsize=(7, 7))\n",
"ax = fig.add_subplot(111, xlabel='x', ylabel='y')\n",
"ax.plot(x, y, '.', alpha = 0.2)\n",
"for d in range(plot_samps):\n",
" ax.plot(x, predicted_y_manual[d,:], color = 'red', alpha = .5)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x2aabf9364e48>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x2aabf92f6240>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x2aabf933ccc0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x2aabf924c9e8>]],\n",
" dtype=object)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm3.traceplot(trace4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model 4: A more complex example (correlated outcomes)\n",
"\n",
"$$ \\begin{bmatrix} Y_1 \\\\ Y_2 \\end{bmatrix} = \n",
" \\begin{bmatrix} \\alpha_1 \\\\ \\alpha_2 \\end{bmatrix} + \n",
" \\begin{bmatrix} X1 & 0 \\\\ 0 & X2 \\end{bmatrix}\\begin{bmatrix} \\beta_1 \\\\ \\beta_2 \\end{bmatrix} +\n",
" {\\Large{\\Sigma}} $$ \n",
"$$ {\\Large{\\Sigma}} \\sim \\mathcal{MVN}\\left(\\begin{bmatrix} \\alpha_1 \\\\ \\alpha_2 \\end{bmatrix}, \n",
"\\begin{bmatrix} \\sigma_1^2 & \\sigma_{12} \\\\ \\sigma_{12} & \\sigma_2^2 \\end{bmatrix}\\right) $$ \n",
"$$ \\alpha_1 \\sim \\mathcal{N}(0, 20)$$ \n",
"$$ \\alpha_2 \\sim \\mathcal{N}(0, 20)$$ \n",
"$$ \\beta_1 \\sim \\mathcal{N}(0, 20) $$ \n",
"$$ \\beta_2 \\sim \\mathcal{N}(0, 20) $$ \n",
"$$ \\sigma_1 \\sim \\text{Lognormal}(1, 20) $$ \n",
"$$ \\sigma_2 \\sim \\text{Lognormal}(1, 20) $$ \n",
"$$ \\sigma_{12} \\sim \\mathcal{N}(0, 20) $$ "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"## Set up params\n",
"N = 10000\n",
"alpha_1, alpha_2 = 0.1, 0.2\n",
"beta_1, beta_2 = 0.5, -0.5\n",
"sigma_1, sigma_2, sigma_12 = 0.2, 0.1, -0.05\n",
"cov_sigma = [[sigma_1, sigma_12], [sigma_12, sigma_2]]\n",
"\n",
"x1 = np.random.normal(scale = 0.5, size = N)\n",
"x2 = np.random.normal(scale = 0.5, size = N)\n",
"\n",
"## Get correlated errors\n",
"mv_errors = np.random.multivariate_normal(mean = [0,0], cov = cov_sigma, size = N)\n",
"\n",
"## Simulate outcomes\n",
"y1 = alpha_1 + beta_1 * x1 + mv_errors[:,0]\n",
"y2 = alpha_2 + beta_2 * x2 + mv_errors[:,1]\n",
"\n",
"## Stack the outcomes\n",
"y = np.stack((y1, y2)).T"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"## Plot the simulated data\n",
"fig = plt.figure(figsize=(10, 10))\n",
"ax = fig.add_subplot(211, xlabel='x1', ylabel='y1')\n",
"ax.plot(x1, y1, 'x')\n",
"ax = fig.add_subplot(212, xlabel='x2', ylabel='y2')\n",
"ax.plot(x2, y2, 'x')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"# Run the multivariate regression\n",
"with pm3.Model() as model3: \n",
" \n",
" # Define priors \n",
" intercept_1 = Normal('intercept_1', 1, sd=20)\n",
" intercept_2 = Normal('intercept_2', 1, sd=20)\n",
" \n",
" slope_1 = Normal('slope_1', 0, sd = 20)\n",
" slope_2 = Normal('slope_2', 0, sd = 20)\n",
"\n",
" mu1 = intercept_1 + (slope_1 * x1)\n",
" mu2 = intercept_2 + (slope_2 * x2)\n",
" \n",
"\n",
" # LKJ prior for covariance matrix\n",
" packed_L = pm3.LKJCholeskyCov('packed_L', n=2,\n",
" eta=2., sd_dist=pm3.Lognormal.dist(1, 20))\n",
" # convert to (2,2)\n",
" L = pm3.expand_packed_triangular(2, packed_L)\n",
" \n",
" likelihood = MvNormal('y', \n",
" mu=tt.stack([mu1, mu2]).T,\n",
" chol=L, \n",
" observed=y)\n",
"\n",
" # Use Maximum A Posteriori (MAP) optimisation as initial value for MCMC\n",
" start = pm3.find_MAP()\n",
" print(start)\n",
"\n",
" # Use the No-U-Turn Sampler\n",
" step = pm3.NUTS()\n",
"\n",
" # Inference\n",
" post_samples = 1000\n",
" trace3 = sample(draws=post_samples, \n",
" start=start, \n",
" step=step, \n",
" chains=2, \n",
" cores=4) # draw posterior samples using NUTS sampling\n",
" \n",
"pm3.summary(trace3).round(4)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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