slides_example.ipynb

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   "cell_type": "code",
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   "id": "102643d4-c1b3-446b-960b-5926d6e31d78",
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   "outputs": [],
   "source": [
    "import pymc as pm\n",
    "import arviz as az\n",
    "\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "%config InlineBackend.figure_format = \"svg\"\n",
    "sns.set_theme()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5ec42631-a0c9-40eb-aa6d-1cb7457e31e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "       1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
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     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# keys: 112 major, 36 minor. The order doesn't matter\n",
    "keys = np.zeros(148)\n",
    "keys[:112] = 1\n",
    "keys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a6d1c73d-751f-4e94-913e-7bacf7b5a2be",
   "metadata": {},
   "outputs": [],
   "source": [
    "with pm.Model() as model:\n",
    "    theta = pm.Uniform(\"theta\", 0, 1)\n",
    "    pm.Bernoulli(\"keys\", p=theta, observed=keys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8edcf077-2ecb-45bb-baf3-6bd9ebe0ce54",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 4 jobs)\n",
      "NUTS: [theta]\n"
     ]
    },
    {
     "data": {
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       "\n",
       "<style>\n",
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       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
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      "text/plain": [
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     "metadata": {},
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    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='12000' class='' max='12000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [12000/12000 00:01&lt;00:00 Sampling 2 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
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     "text": [
      "Sampling 2 chains for 1_000 tune and 5_000 draw iterations (2_000 + 10_000 draws total) took 2 seconds.\n",
      "We recommend running at least 4 chains for robust computation of convergence diagnostics\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    idata = pm.sample(5000, chains=2)"
   ]
  },
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   "execution_count": 5,
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   "metadata": {},
   "outputs": [
    {
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       "<Axes: title={'center': 'theta'}>"
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     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
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       "    inference_library_version:  5.10.3\n",
       "    sampling_time:              1.9957900047302246\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><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-77dcb1e7-b556-406f-b37e-69d9e449db10' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-77dcb1e7-b556-406f-b37e-69d9e449db10' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 2</li><li><span class='xr-has-index'>draw</span>: 5000</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-7c63df16-b8f4-4b25-8247-13a846a1599d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7c63df16-b8f4-4b25-8247-13a846a1599d' 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 class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-73edc785-b2dc-496c-a96b-11246d1a1aa6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-73edc785-b2dc-496c-a96b-11246d1a1aa6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-35bc6a00-d7fb-4868-ae86-fdc308e9ff40' class='xr-var-data-in' type='checkbox'><label for='data-35bc6a00-d7fb-4868-ae86-fdc308e9ff40' 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, 1])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 4996 4997 4998 4999</div><input id='attrs-6bc69678-513f-494b-bf86-865e8c7cc7e6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6bc69678-513f-494b-bf86-865e8c7cc7e6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4bbcb55b-82de-4792-b264-9d4558bf6f25' class='xr-var-data-in' type='checkbox'><label for='data-4bbcb55b-82de-4792-b264-9d4558bf6f25' 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,    1,    2, ..., 4997, 4998, 4999])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-009a68aa-deac-401e-a39d-f388b17f10bc' class='xr-section-summary-in' type='checkbox'  checked><label for='section-009a68aa-deac-401e-a39d-f388b17f10bc' class='xr-section-summary' >Data variables: <span>(1)</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>theta</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.7662 0.674 ... 0.7252 0.7533</div><input id='attrs-91e6ed41-a764-4acd-8ce5-4d028b4a268a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-91e6ed41-a764-4acd-8ce5-4d028b4a268a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6e1b1451-164f-406c-a555-6f26508f1dbc' class='xr-var-data-in' type='checkbox'><label for='data-6e1b1451-164f-406c-a555-6f26508f1dbc' 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([[0.76617178, 0.67396034, 0.83024349, ..., 0.73832065, 0.70125765,\n",
       "        0.74850584],\n",
       "       [0.68122449, 0.73152183, 0.73152183, ..., 0.66866361, 0.7252007 ,\n",
       "        0.75331306]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-1196b3d2-5e30-4a90-8c9f-241c7cf1874c' class='xr-section-summary-in' type='checkbox'  ><label for='section-1196b3d2-5e30-4a90-8c9f-241c7cf1874c' class='xr-section-summary' >Indexes: <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-index-name'><div>chain</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-274cbc28-469f-4d88-9320-e0b34e10d257' class='xr-index-data-in' type='checkbox'/><label for='index-274cbc28-469f-4d88-9320-e0b34e10d257' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1], dtype=&#x27;int64&#x27;, name=&#x27;chain&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>draw</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-b458149f-70e3-4920-bcde-dffcf269bdc5' class='xr-index-data-in' type='checkbox'/><label for='index-b458149f-70e3-4920-bcde-dffcf269bdc5' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "       ...\n",
       "       4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999],\n",
       "      dtype=&#x27;int64&#x27;, name=&#x27;draw&#x27;, length=5000))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7c322be9-8ea9-4432-b21b-95a39cfc1175' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7c322be9-8ea9-4432-b21b-95a39cfc1175' class='xr-section-summary' >Attributes: <span>(6)</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>2024-01-31T16:01:22.884312</dd><dt><span>arviz_version :</span></dt><dd>0.17.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.10.3</dd><dt><span>sampling_time :</span></dt><dd>1.9957900047302246</dd><dt><span>tuning_steps :</span></dt><dd>1000</dd></dl></div></li></ul></div></div><br></div>\n",
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       "}\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",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:                (chain: 2, draw: 5000)\n",
       "Coordinates:\n",
       "  * chain                  (chain) int64 0 1\n",
       "  * draw                   (draw) int64 0 1 2 3 4 5 ... 4995 4996 4997 4998 4999\n",
       "Data variables: (12/17)\n",
       "    perf_counter_start     (chain, draw) float64 3.127e+04 ... 3.127e+04\n",
       "    n_steps                (chain, draw) float64 3.0 3.0 3.0 3.0 ... 1.0 1.0 3.0\n",
       "    step_size              (chain, draw) float64 0.8374 0.8374 ... 1.277 1.277\n",
       "    tree_depth             (chain, draw) int64 2 2 2 2 1 1 2 1 ... 1 1 2 2 1 1 2\n",
       "    lp                     (chain, draw) float64 -83.86 -86.06 ... -84.1 -83.8\n",
       "    largest_eigval         (chain, draw) float64 nan nan nan nan ... nan nan nan\n",
       "    ...                     ...\n",
       "    perf_counter_diff      (chain, draw) float64 0.0002751 ... 0.000282\n",
       "    acceptance_rate        (chain, draw) float64 0.9888 0.5697 ... 1.0 0.9859\n",
       "    diverging              (chain, draw) bool False False False ... False False\n",
       "    step_size_bar          (chain, draw) float64 1.314 1.314 ... 1.349 1.349\n",
       "    index_in_trajectory    (chain, draw) int64 -1 -3 -2 -1 -1 1 ... 0 3 3 -1 1 3\n",
       "    smallest_eigval        (chain, draw) float64 nan nan nan nan ... nan nan nan\n",
       "Attributes:\n",
       "    created_at:                 2024-01-31T16:01:22.899933\n",
       "    arviz_version:              0.17.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.10.3\n",
       "    sampling_time:              1.9957900047302246\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><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-0b331ceb-5fb8-4cf4-beb7-e54458e99c64' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0b331ceb-5fb8-4cf4-beb7-e54458e99c64' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 2</li><li><span class='xr-has-index'>draw</span>: 5000</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-2ade2cac-246f-42a2-8940-4ec9396fa1d2' class='xr-section-summary-in' type='checkbox'  checked><label for='section-2ade2cac-246f-42a2-8940-4ec9396fa1d2' 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 class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-7b721adb-2f27-46e0-ad0b-6d8dc08d1e73' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7b721adb-2f27-46e0-ad0b-6d8dc08d1e73' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8a4699b5-2589-413f-877c-9689e728a951' class='xr-var-data-in' type='checkbox'><label for='data-8a4699b5-2589-413f-877c-9689e728a951' 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, 1])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 4996 4997 4998 4999</div><input id='attrs-d60f5aae-1a68-4ca1-aadf-b32d1db4c46e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d60f5aae-1a68-4ca1-aadf-b32d1db4c46e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1ad99d64-5807-4187-8c5c-c2a80379aad0' class='xr-var-data-in' type='checkbox'><label for='data-1ad99d64-5807-4187-8c5c-c2a80379aad0' 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,    1,    2, ..., 4997, 4998, 4999])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-54fbfc9e-f984-4810-8705-8b8696b24a78' class='xr-section-summary-in' type='checkbox'  ><label for='section-54fbfc9e-f984-4810-8705-8b8696b24a78' class='xr-section-summary' >Data variables: <span>(17)</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>perf_counter_start</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>3.127e+04 3.127e+04 ... 3.127e+04</div><input id='attrs-d1fd094d-3151-406f-807d-0590ef9314f5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d1fd094d-3151-406f-807d-0590ef9314f5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c41805f0-4811-4896-9f07-62e485fc698d' class='xr-var-data-in' type='checkbox'><label for='data-c41805f0-4811-4896-9f07-62e485fc698d' 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([[31269.12835957, 31269.12869809, 31269.12902907, ...,\n",
       "        31270.62530949, 31270.62552237, 31270.62574341],\n",
       "       [31269.13474525, 31269.13508615, 31269.13541936, ...,\n",
       "        31270.69674472, 31270.69694852, 31270.69714016]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>n_steps</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>3.0 3.0 3.0 3.0 ... 3.0 1.0 1.0 3.0</div><input id='attrs-b157434e-98d4-42d1-b287-e6896e3bd9d6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b157434e-98d4-42d1-b287-e6896e3bd9d6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-061cc78d-9891-4a92-be60-434913337903' class='xr-var-data-in' type='checkbox'><label for='data-061cc78d-9891-4a92-be60-434913337903' 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([[3., 3., 3., ..., 1., 1., 1.],\n",
       "       [3., 3., 1., ..., 1., 1., 3.]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>step_size</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.8374 0.8374 ... 1.277 1.277</div><input id='attrs-e9784185-e813-4d1d-a44c-10c6818dcc64' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e9784185-e813-4d1d-a44c-10c6818dcc64' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3afafd4b-15d1-46d2-96a0-761cea9cf6e7' class='xr-var-data-in' type='checkbox'><label for='data-3afafd4b-15d1-46d2-96a0-761cea9cf6e7' 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([[0.83739368, 0.83739368, 0.83739368, ..., 0.83739368, 0.83739368,\n",
       "        0.83739368],\n",
       "       [1.27694352, 1.27694352, 1.27694352, ..., 1.27694352, 1.27694352,\n",
       "        1.27694352]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tree_depth</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>2 2 2 2 1 1 2 1 ... 2 1 1 2 2 1 1 2</div><input id='attrs-a80e72c7-34bb-43ba-87b3-e7acf695f11c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a80e72c7-34bb-43ba-87b3-e7acf695f11c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bde63561-78b1-40e5-bd27-1de388b7bc92' class='xr-var-data-in' type='checkbox'><label for='data-bde63561-78b1-40e5-bd27-1de388b7bc92' 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, 2, 2, ..., 1, 1, 1],\n",
       "       [2, 2, 1, ..., 1, 1, 2]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>lp</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-83.86 -86.06 ... -84.1 -83.8</div><input id='attrs-fed57443-0d22-4eac-ac3c-56e57092a8a6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fed57443-0d22-4eac-ac3c-56e57092a8a6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-69a406ac-d717-4384-9467-4e37a4ee772d' class='xr-var-data-in' type='checkbox'><label for='data-69a406ac-d717-4384-9467-4e37a4ee772d' 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([[-83.86465914, -86.05523451, -86.63753355, ..., -83.88511719,\n",
       "        -84.80386008, -83.80583271],\n",
       "       [-85.67748373, -83.98145825, -83.98145825, ..., -86.35056314,\n",
       "        -84.10110021, -83.796508  ]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>largest_eigval</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan nan nan ... nan nan nan nan</div><input id='attrs-827c783a-31e0-43be-a8c8-fa3e5124468d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-827c783a-31e0-43be-a8c8-fa3e5124468d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4e780fd3-a0b4-4971-9870-d3484725204c' class='xr-var-data-in' type='checkbox'><label for='data-4e780fd3-a0b4-4971-9870-d3484725204c' 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([[nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>max_energy_error</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.02072 0.9417 ... -1.038 -0.1239</div><input id='attrs-c6d3b989-7ec5-4064-8c4d-9552dd062c65' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c6d3b989-7ec5-4064-8c4d-9552dd062c65' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-991c8b23-79ac-4813-b837-a2a0c22b6d68' class='xr-var-data-in' type='checkbox'><label for='data-991c8b23-79ac-4813-b837-a2a0c22b6d68' 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([[ 0.02072465,  0.94170262, -0.94741861, ...,  0.42566772,\n",
       "         0.4283399 , -0.45562319],\n",
       "       [-0.54487506, -0.78613593,  0.988655  , ...,  0.96292075,\n",
       "        -1.03802332, -0.12390429]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>reached_max_treedepth</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>False False False ... False False</div><input id='attrs-b0ada356-cc40-43e6-9dca-d303594b4bad' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b0ada356-cc40-43e6-9dca-d303594b4bad' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f9ec8816-a12f-43f4-b146-3aa4ff824afc' class='xr-var-data-in' type='checkbox'><label for='data-f9ec8816-a12f-43f4-b146-3aa4ff824afc' 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([[False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>energy_error</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.02072 0.9417 ... -1.038 -0.1239</div><input id='attrs-a59964ec-aa7d-45b3-ac46-836aac3d6c24' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a59964ec-aa7d-45b3-ac46-836aac3d6c24' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bbdf42a2-d44f-4b1e-8477-90bba148f635' class='xr-var-data-in' type='checkbox'><label for='data-bbdf42a2-d44f-4b1e-8477-90bba148f635' 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([[ 0.02072465,  0.94170262,  0.21098077, ...,  0.        ,\n",
       "         0.4283399 , -0.45562319],\n",
       "       [ 0.24665971, -0.76840795,  0.        , ...,  0.96292075,\n",
       "        -1.03802332, -0.12390429]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>energy</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>83.87 86.23 86.73 ... 85.41 84.06</div><input id='attrs-e0db4b2b-d419-417c-9e45-854768453a99' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e0db4b2b-d419-417c-9e45-854768453a99' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-50f971ab-388b-4470-b31a-6fa107be6b3e' class='xr-var-data-in' type='checkbox'><label for='data-50f971ab-388b-4470-b31a-6fa107be6b3e' 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([[83.87038341, 86.22818511, 86.73403842, ..., 84.40065047,\n",
       "        84.83193188, 84.3484989 ],\n",
       "       [85.71923478, 84.9581302 , 85.20959214, ..., 86.52897373,\n",
       "        85.40838822, 84.05691145]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>process_time_diff</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0002752 0.0002696 ... 0.0002822</div><input id='attrs-b167a718-0ce1-4a30-8a6d-463aa79a85bb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b167a718-0ce1-4a30-8a6d-463aa79a85bb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-99c32df0-10df-4e40-99f6-f4318c272240' class='xr-var-data-in' type='checkbox'><label for='data-99c32df0-10df-4e40-99f6-f4318c272240' 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([[0.00027522, 0.00026957, 0.00028104, ..., 0.00014803, 0.00016267,\n",
       "        0.00014295],\n",
       "       [0.00027781, 0.00027215, 0.00013871, ..., 0.00014605, 0.00013462,\n",
       "        0.00028223]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>perf_counter_diff</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0002751 0.0002694 ... 0.000282</div><input id='attrs-a80c552e-2b69-408f-9e32-29e97eb67ad9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a80c552e-2b69-408f-9e32-29e97eb67ad9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b5abf567-8c01-4e83-aec5-6975edabfc05' class='xr-var-data-in' type='checkbox'><label for='data-b5abf567-8c01-4e83-aec5-6975edabfc05' 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([[0.0002751 , 0.00026938, 0.00028139, ..., 0.00014785, 0.00016252,\n",
       "        0.00014283],\n",
       "       [0.00027797, 0.00027217, 0.0001385 , ..., 0.00014611, 0.00013438,\n",
       "        0.00028202]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>acceptance_rate</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.9888 0.5697 0.9366 ... 1.0 0.9859</div><input id='attrs-d9ca93d9-9675-4c04-bf85-ddecbdf302d2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d9ca93d9-9675-4c04-bf85-ddecbdf302d2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-aeb2bd7e-1fdb-4cd2-ac6d-4622bb690c9d' class='xr-var-data-in' type='checkbox'><label for='data-aeb2bd7e-1fdb-4cd2-ac6d-4622bb690c9d' 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([[0.98882378, 0.56965283, 0.93659655, ..., 0.65333339, 0.6515899 ,\n",
       "        1.        ],\n",
       "       [0.92713552, 1.        , 0.3720768 , ..., 0.38177618, 1.        ,\n",
       "        0.98594858]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>diverging</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>False False False ... False False</div><input id='attrs-e1db48c1-a51f-4caf-a57c-96f69b23f56c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e1db48c1-a51f-4caf-a57c-96f69b23f56c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-af805920-9a73-4967-a406-893460e740c3' class='xr-var-data-in' type='checkbox'><label for='data-af805920-9a73-4967-a406-893460e740c3' 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([[False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>step_size_bar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.314 1.314 1.314 ... 1.349 1.349</div><input id='attrs-a1ae1e36-91fd-42be-b00e-0ec1fb8ca956' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a1ae1e36-91fd-42be-b00e-0ec1fb8ca956' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b2abec7f-e1c4-4773-b313-f8cf2deceb8f' class='xr-var-data-in' type='checkbox'><label for='data-b2abec7f-e1c4-4773-b313-f8cf2deceb8f' 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([[1.31380376, 1.31380376, 1.31380376, ..., 1.31380376, 1.31380376,\n",
       "        1.31380376],\n",
       "       [1.34897709, 1.34897709, 1.34897709, ..., 1.34897709, 1.34897709,\n",
       "        1.34897709]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>index_in_trajectory</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>-1 -3 -2 -1 -1 1 2 ... 0 3 3 -1 1 3</div><input id='attrs-c9bd78f9-58ce-4b29-9e3b-35b6836b8f0d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c9bd78f9-58ce-4b29-9e3b-35b6836b8f0d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-351de9b4-a429-4311-9a1b-cdb560f853e1' class='xr-var-data-in' type='checkbox'><label for='data-351de9b4-a429-4311-9a1b-cdb560f853e1' 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([[-1, -3, -2, ...,  0, -1,  1],\n",
       "       [-2, -1,  0, ..., -1,  1,  3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>smallest_eigval</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan nan nan ... nan nan nan nan</div><input id='attrs-41730216-5dc6-465c-8050-a055b5b3d4ba' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-41730216-5dc6-465c-8050-a055b5b3d4ba' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-79c4b223-2866-468b-a2c4-15ddac1424da' class='xr-var-data-in' type='checkbox'><label for='data-79c4b223-2866-468b-a2c4-15ddac1424da' 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([[nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-46e4b980-b600-42a3-910b-faccc684973e' class='xr-section-summary-in' type='checkbox'  ><label for='section-46e4b980-b600-42a3-910b-faccc684973e' class='xr-section-summary' >Indexes: <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-index-name'><div>chain</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-ae26e74f-9727-41e9-a486-52265eb717f5' class='xr-index-data-in' type='checkbox'/><label for='index-ae26e74f-9727-41e9-a486-52265eb717f5' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1], dtype=&#x27;int64&#x27;, name=&#x27;chain&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>draw</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-4a81e3ff-8978-41ae-9628-4d97c06fbb33' class='xr-index-data-in' type='checkbox'/><label for='index-4a81e3ff-8978-41ae-9628-4d97c06fbb33' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "       ...\n",
       "       4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999],\n",
       "      dtype=&#x27;int64&#x27;, name=&#x27;draw&#x27;, length=5000))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-4836dc6b-d265-46e2-a55b-56f196754af4' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4836dc6b-d265-46e2-a55b-56f196754af4' class='xr-section-summary' >Attributes: <span>(6)</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>2024-01-31T16:01:22.899933</dd><dt><span>arviz_version :</span></dt><dd>0.17.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.10.3</dd><dt><span>sampling_time :</span></dt><dd>1.9957900047302246</dd><dt><span>tuning_steps :</span></dt><dd>1000</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_observed_datafb2b021a-a0a3-41e9-a0f8-0112742edbfb\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_observed_datafb2b021a-a0a3-41e9-a0f8-0112742edbfb\" class = \"xr-section-summary\">observed_data</label>\n",
       "                  <div class=\"xr-section-inline-details\"></div>\n",
       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
       "                          <div style=\"padding-left:2rem;\"><div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
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       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\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",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:     (keys_dim_0: 148)\n",
       "Coordinates:\n",
       "  * keys_dim_0  (keys_dim_0) int64 0 1 2 3 4 5 6 ... 141 142 143 144 145 146 147\n",
       "Data variables:\n",
       "    keys        (keys_dim_0) int64 1 1 1 1 1 1 1 1 1 1 1 ... 0 0 0 0 0 0 0 0 0 0\n",
       "Attributes:\n",
       "    created_at:                 2024-01-31T16:01:22.903444\n",
       "    arviz_version:              0.17.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.10.3</pre><div class='xr-wrap' style='display:none'><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-aef75c3c-fad7-483c-bde1-e91b9c0a366b' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-aef75c3c-fad7-483c-bde1-e91b9c0a366b' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>keys_dim_0</span>: 148</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-1d348ec2-dc23-4a15-9e35-9f735e759a0b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-1d348ec2-dc23-4a15-9e35-9f735e759a0b' class='xr-section-summary' >Coordinates: <span>(1)</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 class='xr-has-index'>keys_dim_0</span></div><div class='xr-var-dims'>(keys_dim_0)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 143 144 145 146 147</div><input id='attrs-f584f7b6-9f11-4d1b-ae7d-07ddc2498995' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f584f7b6-9f11-4d1b-ae7d-07ddc2498995' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f475300c-cf2a-4a9f-8f8c-76e0cdf48bd4' class='xr-var-data-in' type='checkbox'><label for='data-f475300c-cf2a-4a9f-8f8c-76e0cdf48bd4' 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,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
       "       140, 141, 142, 143, 144, 145, 146, 147])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7e8d5ee9-73f4-4d55-bd0d-318ced00cd15' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7e8d5ee9-73f4-4d55-bd0d-318ced00cd15' class='xr-section-summary' >Data variables: <span>(1)</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>keys</span></div><div class='xr-var-dims'>(keys_dim_0)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>1 1 1 1 1 1 1 1 ... 0 0 0 0 0 0 0 0</div><input id='attrs-3cef1967-0d83-4a88-9803-50b484434ae8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3cef1967-0d83-4a88-9803-50b484434ae8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dd68a7d0-ab28-41c0-9c59-78fe232748be' class='xr-var-data-in' type='checkbox'><label for='data-dd68a7d0-ab28-41c0-9c59-78fe232748be' 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([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-4109892f-3deb-4617-8f5a-6ef44688efe8' class='xr-section-summary-in' type='checkbox'  ><label for='section-4109892f-3deb-4617-8f5a-6ef44688efe8' class='xr-section-summary' >Indexes: <span>(1)</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-index-name'><div>keys_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-cd32746c-fcbe-4ea0-b6cb-a42bdf08bcf5' class='xr-index-data-in' type='checkbox'/><label for='index-cd32746c-fcbe-4ea0-b6cb-a42bdf08bcf5' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,\n",
       "       ...\n",
       "       138, 139, 140, 141, 142, 143, 144, 145, 146, 147],\n",
       "      dtype=&#x27;int64&#x27;, name=&#x27;keys_dim_0&#x27;, length=148))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-f20c6992-821c-429d-b25f-bfc30c2bc54d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-f20c6992-821c-429d-b25f-bfc30c2bc54d' class='xr-section-summary' >Attributes: <span>(4)</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>2024-01-31T16:01:22.903444</dd><dt><span>arviz_version :</span></dt><dd>0.17.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.10.3</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "              </ul>\n",
       "            </div>\n",
       "            <style> /* CSS stylesheet for displaying InferenceData objects in jupyterlab.\n",
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       "\n",
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       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-header > div,\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
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       "\n",
       ".xr-section-inline-details {\n",
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       "\n",
       ".xr-section-details {\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
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       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
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       "\n",
       ".xr-dim-list {\n",
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       "\n",
       ".xr-dim-list li {\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       ".xr-wrap{width:700px!important;} </style>"
      ],
      "text/plain": [
       "Inference data with groups:\n",
       "\t> posterior\n",
       "\t> sample_stats\n",
       "\t> observed_data"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
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       "array([[0.76617178, 0.67396034, 0.83024349, ..., 0.73832065, 0.70125765,\n",
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       "       [0.68122449, 0.73152183, 0.73152183, ..., 0.66866361, 0.7252007 ,\n",
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    "n_steps = 5\n",
    "#cmap = sns.color_palette(\"flare\", as_cmap=True).resampled(n_steps)\n",
    "for i, (a, b) in enumerate(zip(np.linspace(1,6,n_steps), np.linspace(1,5,n_steps))):\n",
    "    fig, ax = plt.subplots(figsize=(6,3))\n",
    "    sns.lineplot(stats.beta(6, 5).pdf(np.linspace(0,1,100)), ax=ax, label=\"$p(z|x)$\")\n",
    "    sns.lineplot(stats.beta(a, b).pdf(np.linspace(0,1,100)), ax=ax, dashes=[5,3], label=\"$q_ϕ(z)$\")\n",
    "    fig.savefig(f\"presentation/img/vi_step{i+1}.svg\")"
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   "execution_count": 9,
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    "data_group1 = np.array([\n",
    "    [1, 1, 1], # pattern 1: *rrr\n",
    "    [0, 0, 0], # pattern 2: *nnn\n",
    "    [1, 0, 1], # pattern 3: *rnr\n",
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    "data_group1"
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   "cell_type": "code",
   "execution_count": 10,
   "id": "e81826e9-e413-4383-bce0-bb88a074900b",
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      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [regularity]\n"
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       "      100.00% [8000/8000 00:00&lt;00:00 Sampling 4 chains, 0 divergences]\n",
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      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
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    "coords = {\n",
    "    \"pattern\": range(3),\n",
    "    \"beat\": [\"beat2\", \"beat3\", \"beat4\"]\n",
    "}\n",
    "\n",
    "with pm.Model(coords=coords) as regularity_model_coords:\n",
    "    # sample the regularity from its prior.\n",
    "    regularity = pm.Beta(\"regularity\", 0.5, 0.5)\n",
    "    # sample each beat in each pattern\n",
    "    pm.Bernoulli(\"repeat\", regularity,\n",
    "                 dims=(\"pattern\", \"beat\"),\n",
    "                 observed=data_group1\n",
    "                )\n",
    "\n",
    "    idata_reg = pm.sample()"
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   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6,3))\n",
    "az.plot_posterior(idata_reg, ax=ax, kind=\"hist\")\n",
    "fig.savefig(\"presentation/img/sample_hist.svg\")"
   ]
  },
  {
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   "execution_count": 20,
   "id": "3f9226d2-69c9-4d0f-8fd3-a058114e27b2",
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      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6,3))\n",
    "az.plot_posterior(idata_reg, ax=ax)\n",
    "fig.savefig(\"presentation/img/sample.svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c74fdf91-8dc5-4ed5-992d-27320e316e61",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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