Log likelihood for single draw

log_likelihood.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:27:59.718670Z",
     "iopub.status.busy": "2020-09-07T10:27:59.718108Z",
     "iopub.status.idle": "2020-09-07T10:28:23.107505Z",
     "shell.execute_reply": "2020-09-07T10:28:23.106051Z",
     "shell.execute_reply.started": "2020-09-07T10:27:59.718514Z"
    }
   },
   "outputs": [],
   "source": [
    "import arviz as az\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pymc3 as pm3\n",
    "import pymc4 as pm\n",
    "import tensorflow as tf\n",
    "import tensorflow_probability as tfp\n",
    "\n",
    "tfd = tfp.distributions\n",
    "tfb = tfp.bijectors\n",
    "plt.style.use('arviz-darkgrid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:28:23.117680Z",
     "iopub.status.busy": "2020-09-07T10:28:23.115449Z",
     "iopub.status.idle": "2020-09-07T10:28:23.172637Z",
     "shell.execute_reply": "2020-09-07T10:28:23.171521Z",
     "shell.execute_reply.started": "2020-09-07T10:28:23.117627Z"
    }
   },
   "outputs": [],
   "source": [
    "data = np.random.normal(12, 2.2, 200)\n",
    "\n",
    "@pm.model\n",
    "def model():\n",
    "    mu = yield pm.Normal('mu', 0, 1)\n",
    "    sigma = yield pm.Exponential('sigma', 1)\n",
    "    ll = yield pm.Normal('ll', mu, sigma, observed=data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:28:23.201030Z",
     "iopub.status.busy": "2020-09-07T10:28:23.200467Z",
     "iopub.status.idle": "2020-09-07T10:28:39.563651Z",
     "shell.execute_reply": "2020-09-07T10:28:39.561898Z",
     "shell.execute_reply.started": "2020-09-07T10:28:23.200987Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "|>>>>>>>>>>>>>>>>>>>>|"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean_field = pm.fit(model(), num_steps=35_000)\n",
    "plt.plot(mean_field.losses)\n",
    "plt.yscale('log')\n",
    "mean_field_samples = mean_field.approximation.sample(2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:28:39.567333Z",
     "iopub.status.busy": "2020-09-07T10:28:39.566657Z",
     "iopub.status.idle": "2020-09-07T10:28:41.243565Z",
     "shell.execute_reply": "2020-09-07T10:28:41.241936Z",
     "shell.execute_reply.started": "2020-09-07T10:28:39.567269Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([<AxesSubplot:title={'center':'model/mu'}>,\n",
       "       <AxesSubplot:title={'center':'model/__log_sigma'}>,\n",
       "       <AxesSubplot:title={'center':'model/sigma'}>], dtype=object)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2484x552 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(mean_field_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:28:41.252899Z",
     "iopub.status.busy": "2020-09-07T10:28:41.249246Z",
     "iopub.status.idle": "2020-09-07T10:28:41.309082Z",
     "shell.execute_reply": "2020-09-07T10:28:41.307407Z",
     "shell.execute_reply.started": "2020-09-07T10:28:41.252831Z"
    }
   },
   "outputs": [
    {
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       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
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       "\n",
       ".xr-var-data > table {\n",
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       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
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       "\n",
       ".xr-attrs,\n",
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       "\n",
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       "  grid-template-columns: 125px auto;\n",
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       "\n",
       ".xr-attrs dt, dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
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       "  padding-right: 10px;\n",
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       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:            ()\n",
       "Coordinates:\n",
       "    chain              int64 0\n",
       "    draw               int64 0\n",
       "Data variables:\n",
       "    model/mu           float32 11.439099\n",
       "    model/__log_sigma  float32 0.80850405\n",
       "    model/sigma        float32 2.2445478\n",
       "Attributes:\n",
       "    created_at:     2020-09-07T10:28:38.122763\n",
       "    arviz_version:  0.9.0</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-840fdee4-7b5e-44d5-9c1b-05e5df590b98' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-840fdee4-7b5e-44d5-9c1b-05e5df590b98' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-6fcb384d-3526-41d5-9217-be6589d60eb3' class='xr-section-summary-in' type='checkbox'  checked><label for='section-6fcb384d-3526-41d5-9217-be6589d60eb3' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>chain</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0</div><input id='attrs-0690a5a4-8477-4bf6-b805-0f4cee04a281' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0690a5a4-8477-4bf6-b805-0f4cee04a281' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a5eb8b6c-bea5-495f-9225-95dde4c70947' class='xr-var-data-in' type='checkbox'><label for='data-a5eb8b6c-bea5-495f-9225-95dde4c70947' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>draw</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0</div><input id='attrs-9b1c6bde-84f1-4624-9671-8aa4f8de3561' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9b1c6bde-84f1-4624-9671-8aa4f8de3561' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-39e62a91-b538-4779-9e2b-5c1247814e99' class='xr-var-data-in' type='checkbox'><label for='data-39e62a91-b538-4779-9e2b-5c1247814e99' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3826b2c2-aa10-4ec8-a29c-33b9670824e5' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3826b2c2-aa10-4ec8-a29c-33b9670824e5' class='xr-section-summary' >Data variables: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>model/mu</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float32</div><div class='xr-var-preview xr-preview'>11.439099</div><input id='attrs-cbfa6616-e731-4fe1-995f-5a0279f7fa94' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cbfa6616-e731-4fe1-995f-5a0279f7fa94' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-202ce143-ea41-4004-b6d1-b843f9721270' class='xr-var-data-in' type='checkbox'><label for='data-202ce143-ea41-4004-b6d1-b843f9721270' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(11.439099, dtype=float32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>model/__log_sigma</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float32</div><div class='xr-var-preview xr-preview'>0.80850405</div><input id='attrs-d48697a9-e734-4568-a5b3-0a6f59512962' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d48697a9-e734-4568-a5b3-0a6f59512962' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e73fda4b-1198-4b2d-8ca1-d62f1598db2a' class='xr-var-data-in' type='checkbox'><label for='data-e73fda4b-1198-4b2d-8ca1-d62f1598db2a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.80850405, dtype=float32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>model/sigma</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float32</div><div class='xr-var-preview xr-preview'>2.2445478</div><input id='attrs-a9b33fb2-8618-4602-a9e1-322f0ad1122c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a9b33fb2-8618-4602-a9e1-322f0ad1122c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-722391ba-bf92-46f9-b83a-54520cd3f729' class='xr-var-data-in' type='checkbox'><label for='data-722391ba-bf92-46f9-b83a-54520cd3f729' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(2.2445478, dtype=float32)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-eec8d54a-b01c-4ad3-b445-560663498b41' class='xr-section-summary-in' type='checkbox'  checked><label for='section-eec8d54a-b01c-4ad3-b445-560663498b41' class='xr-section-summary' >Attributes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2020-09-07T10:28:38.122763</dd><dt><span>arviz_version :</span></dt><dd>0.9.0</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:            ()\n",
       "Coordinates:\n",
       "    chain              int64 0\n",
       "    draw               int64 0\n",
       "Data variables:\n",
       "    model/mu           float32 11.439099\n",
       "    model/__log_sigma  float32 0.80850405\n",
       "    model/sigma        float32 2.2445478\n",
       "Attributes:\n",
       "    created_at:     2020-09-07T10:28:38.122763\n",
       "    arviz_version:  0.9.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# First chain and first draw\n",
    "# Then pass it to meta_model for forward passing of these values, similar to `theano.function` for calculating log likelihood of observed_RV.\n",
    "mean_field_samples.posterior.sel(chain=0, draw=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:28:41.326461Z",
     "iopub.status.busy": "2020-09-07T10:28:41.325792Z",
     "iopub.status.idle": "2020-09-07T10:28:41.367302Z",
     "shell.execute_reply": "2020-09-07T10:28:41.365687Z",
     "shell.execute_reply.started": "2020-09-07T10:28:41.326399Z"
    }
   },
   "outputs": [],
   "source": [
    "_, state = pm.evaluate_meta_model(model(), values=mean_field_samples.posterior.sel(chain=0, draw=0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-09-07T10:28:41.372638Z",
     "iopub.status.busy": "2020-09-07T10:28:41.370148Z",
     "iopub.status.idle": "2020-09-07T10:28:41.394175Z",
     "shell.execute_reply": "2020-09-07T10:28:41.390248Z",
     "shell.execute_reply.started": "2020-09-07T10:28:41.372573Z"
    }
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "<tf.Tensor: shape=(200,), dtype=float32, numpy=\n",
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       "       -1.8203156, -1.7277019, -1.7437129, -2.2046394, -1.9167154,\n",
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       "       -2.0912473, -1.9730524, -1.9327064, -1.7317133, -2.63961  ,\n",
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       "       -1.9981731, -2.308199 , -2.07217  , -1.9181362, -1.8109248,\n",
       "       -2.0692835, -2.9354985, -1.8880341, -2.8695185, -1.8043824,\n",
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       "       -1.7286981, -2.1739054, -1.7762278, -2.2699041, -1.9428291,\n",
       "       -1.7784468, -1.867501 , -2.303817 , -2.6963208, -1.7497185,\n",
       "       -2.8307557, -1.7325102, -1.8501419, -1.793986 , -1.7468946,\n",
       "       -1.8497123, -3.083929 , -1.7655108, -3.0250947, -3.8436303,\n",
       "       -2.5307837, -1.728252 , -1.8613703, -2.145588 , -3.8524055,\n",
       "       -2.663501 , -1.9048499, -1.7278066, -1.798298 , -1.9253991,\n",
       "       -3.7556367, -1.7928692, -2.3764536, -3.0718858, -1.7816631,\n",
       "       -3.147272 , -2.107636 , -2.3031628, -1.7280737, -3.0731661,\n",
       "       -1.9822397, -2.370562 , -2.467523 , -1.7509751, -1.8610451,\n",
       "       -1.7966691, -1.7422595, -3.3322062, -1.9202346, -1.8915511,\n",
       "       -2.7705088, -3.308271 , -1.7295905, -2.906773 , -1.8500386,\n",
       "       -1.8469017, -1.970415 , -1.8926013, -1.7916296, -2.8296504,\n",
       "       -1.7447333, -1.7312335, -2.3849828, -2.187446 , -5.24447  ,\n",
       "       -2.5930662, -2.6421294, -1.7322116, -1.7799803, -2.1398497,\n",
       "       -2.0120087, -1.7366737, -1.7542554, -1.8000108, -2.085857 ,\n",
       "       -2.429984 , -1.9947019, -2.6456678, -2.2862875, -1.7508615,\n",
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       "       -4.8432803, -3.0511346, -1.7367587, -2.1212914, -1.7415458,\n",
       "       -1.9130788, -6.653627 , -2.6983721, -2.0276866, -2.4844909,\n",
       "       -3.0305386, -1.8558023, -1.7283193, -2.2027848, -2.2666574,\n",
       "       -2.7902658, -1.9706085, -4.6527724, -1.8288695, -2.0271494,\n",
       "       -1.8958666, -2.9937274, -1.8930441, -2.5402863, -1.8299813,\n",
       "       -2.3190093, -1.8203207, -1.8723936, -4.695572 , -3.4171362,\n",
       "       -2.224195 , -2.3521423, -2.2464948, -1.954793 , -3.4216032,\n",
       "       -1.8808216, -2.893572 , -1.9947758, -1.9776144, -1.7285634],\n",
       "      dtype=float32)>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "state.distributions['model/ll'].log_prob(data)"
   ]
  }
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