{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Updating priors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, I will show how it is possible to update the priors as new data becomes available. The example is a slightly modified version of the linear regression in the [Getting started with PyMC3](https://github.com/pymc-devs/pymc3/blob/master/docs/source/notebooks/getting_started.ipynb) notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "from pymc3 import Model, Normal, Slice\n",
    "from pymc3 import sample\n",
    "from pymc3 import traceplot\n",
    "from pymc3.distributions import Interpolated\n",
    "from theano import as_op\n",
    "import theano.tensor as tt\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize random number generator\n",
    "np.random.seed(123)\n",
    "\n",
    "# True parameter values\n",
    "alpha_true = 5\n",
    "beta0_true = 7\n",
    "beta1_true = 13\n",
    "\n",
    "# Size of dataset\n",
    "size = 100\n",
    "\n",
    "# Predictor variable\n",
    "X1 = np.random.randn(size)\n",
    "X2 = np.random.randn(size) * 0.2\n",
    "\n",
    "# Simulate outcome variable\n",
    "Y = alpha_true + beta0_true * X1 + beta1_true * X2 + np.random.randn(size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model specification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our initial beliefs about the parameters are quite informative (sd=1) and a bit off the true values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 182.07:   9%|▉         | 17993/200000 [00:01<00:16, 11195.63it/s]\n",
      "Convergence archived at 19400\n",
      "Interrupted at 19,400 [9%]: Average Loss = 958.67\n",
      "100%|██████████| 1500/1500 [00:00<00:00, 1762.74it/s]\n"
     ]
    }
   ],
   "source": [
    "basic_model = Model()\n",
    "\n",
    "with basic_model:\n",
    "    \n",
    "    # Priors for unknown model parameters\n",
    "    alpha = Normal('alpha', mu=0, sd=1)\n",
    "    beta0 = Normal('beta0', mu=12, sd=1)\n",
    "    beta1 = Normal('beta1', mu=18, sd=1)\n",
    "    \n",
    "    # Expected value of outcome\n",
    "    mu = alpha + beta0 * X1 + beta1 * X2\n",
    "    \n",
    "    # Likelihood (sampling distribution) of observations\n",
    "    Y_obs = Normal('Y_obs', mu=mu, sd=1, observed=Y)\n",
    "    \n",
    "    # draw 1000 posterior samples\n",
    "    trace = sample(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGoCAYAAABbkkSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1030c72e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "traceplot(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to update our beliefs about the parameters, we use the posterior distributions, which will be used as the prior distributions for the next inference. The data used for each inference iteration has to be independent from the previous iterations, otherwise the same (possibly wrong) belief is injected over and over in the system, amplifying the errors and misleading the inference. By ensuring the data is independent, the system should converge to the true parameter values.\n",
    "\n",
    "Because we draw samples from the posterior distribution (shown on the right in the figure above), we need to estimate their probability density (shown on the left in the figure above). [Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation) (KDE) is a way to achieve this, and we will use this technique here. In any case, it is an empirical distribution that cannot be expressed analytically. Fortunately PyMC3 provides a way to use custom distributions, via `Interpolated` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def from_posterior(param, samples):\n",
    "    smin, smax = np.min(samples), np.max(samples)\n",
    "    width = smax - smin\n",
    "    x = np.linspace(smin, smax, 100)\n",
    "    y = stats.gaussian_kde(samples)(x)\n",
    "    \n",
    "    # what was never sampled should have a small probability but not 0,\n",
    "    # so we'll extend the domain and use linear approximation of density on it\n",
    "    x = np.concatenate([[x[0] - 3 * width], x, [x[-1] + 3 * width]])\n",
    "    y = np.concatenate([[0], y, [0]])\n",
    "    return Interpolated(param, x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we just need to generate more data and build our Bayesian model so that the prior distributions for the current iteration are the posterior distributions from the previous iteration. It is still possible to continue using NUTS sampling method because `Interpolated` class implements calculation of gradients that are necessary for Hamiltonian Monte Carlo samplers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "traces = [trace]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 130.2:   6%|▌         | 11781/200000 [00:01<00:29, 6466.53it/s] \n",
      "Convergence archived at 12300\n",
      "Interrupted at 12,300 [6%]: Average Loss = 145.76\n",
      "100%|██████████| 1500/1500 [00:04<00:00, 355.08it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 138.51:   6%|▌         | 11335/200000 [00:01<00:33, 5566.37it/s]\n",
      "Convergence archived at 11700\n",
      "Interrupted at 11,700 [5%]: Average Loss = 150.98\n",
      "100%|██████████| 1500/1500 [00:03<00:00, 394.51it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 146.1:   5%|▍         | 9556/200000 [00:01<00:31, 5991.28it/s] \n",
      "Convergence archived at 10100\n",
      "Interrupted at 10,100 [5%]: Average Loss = 154.06\n",
      "100%|██████████| 1500/1500 [00:04<00:00, 319.51it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 142.7:   6%|▌         | 11648/200000 [00:02<00:36, 5109.37it/s] \n",
      "Convergence archived at 12200\n",
      "Interrupted at 12,200 [6%]: Average Loss = 155.77\n",
      "100%|██████████| 1500/1500 [00:04<00:00, 373.05it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 133.23:   7%|▋         | 13050/200000 [00:02<00:50, 3711.73it/s]\n",
      "Convergence archived at 13400\n",
      "Interrupted at 13,400 [6%]: Average Loss = 143.05\n",
      "100%|██████████| 1500/1500 [00:03<00:00, 486.74it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 139.02:   6%|▌         | 11484/200000 [00:02<00:33, 5578.01it/s]\n",
      "Convergence archived at 11700\n",
      "Interrupted at 11,700 [5%]: Average Loss = 149.03\n",
      "100%|██████████| 1500/1500 [00:04<00:00, 320.46it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 155.61:   6%|▋         | 12827/200000 [00:02<00:30, 6235.03it/s]\n",
      "Convergence archived at 13100\n",
      "Interrupted at 13,100 [6%]: Average Loss = 161.57\n",
      "100%|██████████| 1500/1500 [00:04<00:00, 350.61it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 134.84:   5%|▌         | 10191/200000 [00:02<00:38, 4917.16it/s]\n",
      "Convergence archived at 10500\n",
      "Interrupted at 10,500 [5%]: Average Loss = 143.89\n",
      "100%|██████████| 1500/1500 [00:03<00:00, 498.10it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 143.05:   8%|▊         | 15703/200000 [00:02<00:32, 5607.34it/s]\n",
      "Convergence archived at 16100\n",
      "Interrupted at 16,100 [8%]: Average Loss = 156.48\n",
      "100%|██████████| 1500/1500 [00:03<00:00, 495.78it/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 142.04:   5%|▍         | 9850/200000 [00:02<00:35, 5368.61it/s]\n",
      "Convergence archived at 10400\n",
      "Interrupted at 10,400 [5%]: Average Loss = 147.67\n",
      "100%|██████████| 1500/1500 [00:05<00:00, 277.10it/s]\n"
     ]
    }
   ],
   "source": [
    "for _ in range(10):\n",
    "\n",
    "    # generate more data\n",
    "    X1 = np.random.randn(size)\n",
    "    X2 = np.random.randn(size) * 0.2\n",
    "    Y = alpha_true + beta0_true * X1 + beta1_true * X2 + np.random.randn(size)\n",
    "\n",
    "    model = Model()\n",
    "    with model:\n",
    "        # Priors are posteriors from previous iteration\n",
    "        alpha = from_posterior('alpha', trace['alpha'])\n",
    "        beta0 = from_posterior('beta0', trace['beta0'])\n",
    "        beta1 = from_posterior('beta1', trace['beta1'])\n",
    "\n",
    "        # Expected value of outcome\n",
    "        mu = alpha + beta0 * X1 + beta1 * X2\n",
    "\n",
    "        # Likelihood (sampling distribution) of observations\n",
    "        Y_obs = Normal('Y_obs', mu=mu, sd=1, observed=Y)\n",
    "                \n",
    "        # draw 10000 posterior samples\n",
    "        trace = sample(1000)\n",
    "        traces.append(trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Posterior distributions after 11 iterations.\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfsAAACcCAYAAAB4DQKEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x132eab518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAACcCAYAAAAJQxPrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nteu1+AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x137d309b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfUAAACcCAYAAABmxDI3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6SVYpW6xWCwWSy/h/wE3iT3DrapShQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x136bbd0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Posterior distributions after ' + str(len(traces)) + ' iterations.')\n",
    "cmap = mpl.cm.autumn\n",
    "for param in ['alpha', 'beta0', 'beta1']:\n",
    "    plt.figure(figsize=(8, 2))\n",
    "    for update_i, trace in enumerate(traces):\n",
    "        samples = trace[param]\n",
    "        smin, smax = np.min(samples), np.max(samples)\n",
    "        x = np.linspace(smin, smax, 100)\n",
    "        y = stats.gaussian_kde(samples)(x)\n",
    "        plt.plot(x, y, color=cmap(1 - update_i / len(traces)))\n",
    "    plt.axvline({'alpha': alpha_true, 'beta0': beta0_true, 'beta1': beta1_true}[param], c='k')\n",
    "    plt.ylabel('Frequency')\n",
    "    plt.title(param)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can re-execute the last two cells to generate more updates.\n",
    "\n",
    "What is interesting to note is that the posterior distributions for our parameters tend to get centered on their true value (vertical lines), and the distribution gets thiner and thiner. This means that we get more confident each time, and the (false) belief we had at the beginning gets flushed away by the new data we incorporate."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "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": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
