{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MCMC with GPs with Normal likelihoods\n",
    "\n",
    "[Data set download](https://s3.amazonaws.com/bebi103.caltech.edu/data/wolfenden_arrhenius.csv)\n",
    "\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "nbsphinx": "hidden",
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Colab setup ------------------\n",
    "import os, shutil, sys, subprocess, urllib.request\n",
    "if \"google.colab\" in sys.modules:\n",
    "    cmd = \"pip install --upgrade iqplot colorcet bebi103 arviz cmdstanpy watermark\"\n",
    "    process = subprocess.Popen(cmd.split(), stdout=subprocess.PIPE, stderr=subprocess.PIPE)\n",
    "    stdout, stderr = process.communicate()\n",
    "    from cmdstanpy.install_cmdstan import latest_version\n",
    "    cmdstan_version = latest_version()\n",
    "    cmdstan_url = f\"https://github.com/stan-dev/cmdstan/releases/download/v{cmdstan_version}/\"\n",
    "    fname = f\"colab-cmdstan-{cmdstan_version}.tgz\"\n",
    "    urllib.request.urlretrieve(cmdstan_url + fname, fname)\n",
    "    shutil.unpack_archive(fname)\n",
    "    os.environ[\"CMDSTAN\"] = f\"./cmdstan-{cmdstan_version}\"\n",
    "    data_path = \"https://s3.amazonaws.com/bebi103.caltech.edu/data/\"\n",
    "else:\n",
    "    data_path = \"../data/\"\n",
    "# ------------------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       "        .bk-notebook-logo {\n",
       "            display: block;\n",
       "            width: 20px;\n",
       "            height: 20px;\n",
       "            background-image: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAYAAACNiR0NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAABx0RVh0U29mdHdhcmUAQWRvYmUgRmlyZXdvcmtzIENTNui8sowAAAOkSURBVDiNjZRtaJVlGMd/1/08zzln5zjP1LWcU9N0NkN8m2CYjpgQYQXqSs0I84OLIC0hkEKoPtiH3gmKoiJDU7QpLgoLjLIQCpEsNJ1vqUOdO7ppbuec5+V+rj4ctwzd8IIbbi6u+8f1539dt3A78eXC7QizUF7gyV1fD1Yqg4JWz84yffhm0qkFqBogB9rM8tZdtwVsPUhWhGcFJngGeWrPzHm5oaMmkfEg1usvLFyc8jLRqDOMru7AyC8saQr7GG7f5fvDeH7Ej8CM66nIF+8yngt6HWaKh7k49Soy9nXurCi1o3qUbS3zWfrYeQDTB/Qj6kX6Ybhw4B+bOYoLKCC9H3Nu/leUTZ1JdRWkkn2ldcCamzrcf47KKXdAJllSlxAOkRgyHsGC/zRday5Qld9DyoM4/q/rUoy/CXh3jzOu3bHUVZeU+DEn8FInkPBFlu3+nW3Nw0mk6vCDiWg8CeJaxEwuHS3+z5RgY+YBR6V1Z1nxSOfoaPa4LASWxxdNp+VWTk7+4vzaou8v8PN+xo+KY2xsw6une2frhw05CTYOmQvsEhjhWjn0bmXPjpE1+kplmmkP3suftwTubK9Vq22qKmrBhpY4jvd5afdRA3wGjFAgcnTK2s4hY0/GPNIb0nErGMCRxWOOX64Z8RAC4oCXdklmEvcL8o0BfkNK4lUg9HTl+oPlQxdNo3Mg4Nv175e/1LDGzZen30MEjRUtmXSfiTVu1kK8W4txyV6BMKlbgk3lMwYCiusNy9fVfvvwMxv8Ynl6vxoByANLTWplvuj/nF9m2+PDtt1eiHPBr1oIfhCChQMBw6Aw0UulqTKZdfVvfG7VcfIqLG9bcldL/+pdWTLxLUy8Qq38heUIjh4XlzZxzQm19lLFlr8vdQ97rjZVOLf8nclzckbcD4wxXMidpX30sFd37Fv/GtwwhzhxGVAprjbg0gCAEeIgwCZyTV2Z1REEW8O4py0wsjeloKoMr6iCY6dP92H6Vw/oTyICIthibxjm/DfN9lVz8IqtqKYLUXfoKVMVQVVJOElGjrnnUt9T9wbgp8AyYKaGlqingHZU/uG2NTZSVqwHQTWkx9hxjkpWDaCg6Ckj5qebgBVbT3V3NNXMSiWSDdGV3hrtzla7J+duwPOToIg42ChPQOQjspnSlp1V+Gjdged7+8UN5CRAV7a5EdFNwCjEaBR27b3W890TE7g24NAP/mMDXRWrGoFPQI9ls/MWO2dWFAar/xcOIImbbpA3zgAAAABJRU5ErkJggg==);\n",
       "        }\n",
       "    </style>\n",
       "    <div>\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-notebook-logo\"></a>\n",
       "        <span id=\"cf1f44f9-aff6-4305-afe3-365342e3c4ce\">Loading BokehJS ...</span>\n",
       "    </div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  const force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "const JS_MIME_TYPE = 'application/javascript';\n",
       "  const HTML_MIME_TYPE = 'text/html';\n",
       "  const EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  const CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    const script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    function drop(id) {\n",
       "      const view = Bokeh.index.get_by_id(id)\n",
       "      if (view != null) {\n",
       "        view.model.document.clear()\n",
       "        Bokeh.index.delete(view)\n",
       "      }\n",
       "    }\n",
       "\n",
       "    const cell = handle.cell;\n",
       "\n",
       "    const id = cell.output_area._bokeh_element_id;\n",
       "    const server_id = cell.output_area._bokeh_server_id;\n",
       "\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null) {\n",
       "      drop(id)\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      const cmd_clean = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd_clean, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            const id = msg.content.text.trim()\n",
       "            drop(id)\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      const cmd_destroy = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd_destroy);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    const output_area = handle.output_area;\n",
       "    const output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!Object.prototype.hasOwnProperty.call(output.data, EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    const toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      const bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      const script_attrs = bk_div.children[0].attributes;\n",
       "      for (let i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "        toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      const toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      const props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    const events = require('base/js/events');\n",
       "    const OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  const NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    const el = document.getElementById(\"cf1f44f9-aff6-4305-afe3-365342e3c4ce\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error(url) {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < css_urls.length; i++) {\n",
       "      const url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < js_urls.length; i++) {\n",
       "      const url = js_urls[i];\n",
       "      const element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.3.0.min.js\", \"https://unpkg.com/@holoviz/panel@1.3.1/dist/panel.min.js\"];\n",
       "  const css_urls = [];\n",
       "\n",
       "  const inline_js = [    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "function(Bokeh) {\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "          for (let i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      const cell = $(document.getElementById(\"cf1f44f9-aff6-4305-afe3-365342e3c4ce\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  const force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n\n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  const NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    const el = document.getElementById(\"cf1f44f9-aff6-4305-afe3-365342e3c4ce\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; i < css_urls.length; i++) {\n      const url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (let i = 0; i < js_urls.length; i++) {\n      const url = js_urls[i];\n      const element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.3.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.3.0.min.js\", \"https://unpkg.com/@holoviz/panel@1.3.1/dist/panel.min.js\"];\n  const css_urls = [];\n\n  const inline_js = [    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\nfunction(Bokeh) {\n    }\n  ];\n\n  function run_inline_js() {\n    if (root.Bokeh !== undefined || force === true) {\n          for (let i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\nif (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      const cell = $(document.getElementById(\"cf1f44f9-aff6-4305-afe3-365342e3c4ce\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.optimize\n",
    "import scipy.stats as st\n",
    "\n",
    "import cmdstanpy\n",
    "import arviz as az\n",
    "\n",
    "import bebi103\n",
    "\n",
    "import bokeh.io\n",
    "bokeh.io.output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr>\n",
    "\n",
    "In the previous lesson, we found MAP estimates for the hyperparameters and $\\sigma$ parameters of a model with a GP prior and a Normal likelihood. Here, we estimate those parameter with Markov chain Monte Carlo.\n",
    "\n",
    "As a reminder, the general model we are considering is\n",
    "\n",
    "\\begin{align}\n",
    "&\\theta_k \\sim \\text{some hyperprior}\\\\[1em]\n",
    "&\\boldsymbol{\\sigma} \\sim \\text{some prior}\\\\[1em]\n",
    "&\\mathbf{y} \\mid \\mathbf{X}, \\boldsymbol{\\sigma}, \\theta_k \\sim \\mathrm{MultiNorm}(\\mathbf{0}, \\mathsf{K}_\\mathbf{y}),\n",
    "\\end{align}\n",
    "\n",
    "where we have marginalized out the latent variables $f(\\mathbf{X})$. (See the previous lesson for the definition of $\\mathsf{K}_\\mathbf{y}$.)\n",
    "\n",
    "We are specifically modeling the data set from [Wolfenden and Snider](https://dx.doi.org/10.1021/ar000058i), which can be downloaded [here](https://s3.amazonaws.com/bebi103.caltech.edu/data/wolfenden_arrhenius.csv). The model we will consider here uses a SE kernel.\n",
    "\n",
    "\\begin{align}\n",
    "&\\alpha \\sim \\text{HalfNorm}(2)\\\\[1em]\n",
    "&\\rho \\sim \\text{InvGamma}(0.5, 2)\\\\[1em]\n",
    "&\\sigma \\sim \\text{HalfNorm}(0.1)\\\\[1em]\n",
    "&\\mathbf{y} \\mid \\mathbf{X}, \\sigma, \\alpha, \\rho \\sim \\mathrm{MultiNorm}(\\mathbf{0}, \\mathsf{K}_\\mathbf{y}),\n",
    "\\end{align}\n",
    "\n",
    "where $\\mathbf{X} = \\mathbf{T}$, a set of temperatures and $\\mathbf{y} = \\mathbf{k}$, a set of chemical rate constants.\n",
    "\n",
    "Let's load in the data set and scale and center it before we proceed to estimating the parameters of the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data\n",
    "df = pd.read_csv(os.path.join(data_path, 'wolfenden_arrhenius.csv'))\n",
    "df['T (K)'] = 1000 / df['1000/T (1/K)']\n",
    "df['k (1/s)'] = np.exp(df['ln k (1/s)'])\n",
    "T = df[\"T (K)\"].values\n",
    "k = df[\"k (1/s)\"].values\n",
    "\n",
    "# Center and scale\n",
    "k_scaled = (k - k.mean()) / k.std()\n",
    "T_scaled = (T - T.mean()) / T.std()\n",
    "\n",
    "# Sample at 250 points\n",
    "Nstar = 250\n",
    "\n",
    "# Set up xstar\n",
    "T_range = T_scaled.max() - T_scaled.min()\n",
    "xstar = np.linspace(\n",
    "    T_scaled.min() - 0.05 * T_range, T_scaled.max() + 0.05 * T_range, Nstar\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hyperparameter estimation using MCMC\n",
    "\n",
    "Estimation of the hyperparameters is as simple as coding up the model in Stan. Below is the Stan code.\n",
    "\n",
    "```stan\n",
    "data {\n",
    "  int<lower=1> N;\n",
    "  array[N] real x;\n",
    "  vector[N] y;\n",
    "}\n",
    "\n",
    "\n",
    "parameters {\n",
    "  real<lower=0> alpha;\n",
    "  real<lower=0> rho;\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "\n",
    "\n",
    "model {\n",
    "  alpha ~ normal(0.0, 2.0);\n",
    "  rho ~ inv_gamma(0.5, 2.0);\n",
    "  sigma ~ normal(0.0, 1.0);\n",
    "\n",
    "  matrix[N, N] Ky = gp_exp_quad_cov(x, alpha, rho)\n",
    "                   + diag_matrix(rep_vector(square(sigma), N));\n",
    "  matrix[N, N] Ly = cholesky_decompose(Ky);\n",
    "\n",
    "  y ~ multi_normal_cholesky(rep_vector(0, N), Ly);\n",
    "}\n",
    "\n",
    "```\n",
    "\n",
    "After adding the hyperparameters to the model, we compute the covariance matrix using `cov_exp_quad()`, being sure to add $\\sigma^2$ to the diagonal. We then compute the Cholesky decomposition, since sampling out of a multi-Normal distribution using the Cholesky decomposition is more numerically stable.\n",
    "\n",
    "Let's compile the model and get our samples!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2ce2de35cdb343fdb8861dea0c77735c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 1 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "801a0a26090b49fd9df6fc9fbf4b8389",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 2 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9c5d6cb2e99c41a4ba5623a6bff7261e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 3 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3ef833dfedbd4cc9bef20e24aa7be9a0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 4 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                                                                                                                                                                                                \n",
      "Effective sample size looks reasonable for all parameters.\n",
      "\n",
      "Rhat looks reasonable for all parameters.\n",
      "\n",
      "0 of 4000 (0.0%) iterations ended with a divergence.\n",
      "\n",
      "0 of 4000 (0.0%) iterations saturated the maximum tree depth of 10.\n",
      "\n",
      "E-BFMI indicated no pathological behavior.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = dict(N=len(T_scaled), x=T_scaled, y=k_scaled)\n",
    "\n",
    "# Compile and sample\n",
    "with bebi103.stan.disable_logging():\n",
    "    sm = cmdstanpy.CmdStanModel(stan_file=\"gp_kinetics_no_ppc.stan\")\n",
    "    samples = sm.sample(data=data)\n",
    "\n",
    "# Convert to ArviZ\n",
    "samples = az.from_cmdstanpy(samples)\n",
    "\n",
    "# Check diagnostics\n",
    "bebi103.stan.check_all_diagnostics(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Everything looks good! Let's check out the parameter values with a corner plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"bea9f828-a18d-4c57-ab43-2f2ec186a6c8\" data-root-id=\"p1299\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"95dd56fd-0e96-4735-9720-6b11ffcf1dd9\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1299\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1294\",\"attributes\":{\"styles\":{\"type\":\"map\",\"entries\":[[\"orientation\",\"horizontal\"]]},\"tools\":[{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1287\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1031\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1073\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1124\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1166\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1217\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1268\"}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1288\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1032\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1033\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1074\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1075\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1125\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1126\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1167\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1168\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1218\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1219\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1269\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1270\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1289\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1034\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1076\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1127\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1169\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1220\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1271\",\"attributes\":{\"renderers\":\"auto\"}}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1290\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1035\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1036\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1077\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1078\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1128\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1129\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1170\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1171\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1221\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1222\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1272\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1273\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1291\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1037\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1038\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"xs\":[],\"ys\":[],\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1079\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1080\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"xs\":[],\"ys\":[],\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1130\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1131\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"xs\":[],\"ys\":[],\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1172\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1173\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"xs\":[],\"ys\":[],\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1223\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1224\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"xs\":[],\"ys\":[],\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1274\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1275\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"xs\":[],\"ys\":[],\"editable\":true,\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}}]}},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1292\"},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1293\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1040\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1082\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1133\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1175\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1226\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1277\"}]}}]}},{\"type\":\"object\",\"name\":\"Column\",\"id\":\"p1298\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1295\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1009\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1018\",\"attributes\":{\"start\":0.32033387999999996,\"end\":7.8749001199999995}},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1008\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1019\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1020\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1016\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1047\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1041\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1042\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1043\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[102],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[102],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1048\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1049\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1044\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1045\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.1,\"line_width\":2}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1046\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1017\",\"attributes\":{\"tools\":[{\"id\":\"p1031\"},{\"id\":\"p1032\"},{\"id\":\"p1034\"},{\"id\":\"p1035\"},{\"id\":\"p1037\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1039\"},{\"id\":\"p1040\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1026\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1027\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1028\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1029\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1021\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1022\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1023\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1024\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1025\",\"attributes\":{\"axis\":{\"id\":\"p1021\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1030\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1026\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}}]}},{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1296\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1050\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1018\"},\"y_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1111\",\"attributes\":{\"start\":0.46717835999999996,\"end\":11.86763964}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1061\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1062\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1057\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1089\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1002\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1003\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1004\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"int32\",\"order\":\"little\"}],[\"alpha\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"sigma\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"chain__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \"},\"shape\":[4000],\"dtype\":\"int32\",\"order\":\"little\"}],[\"draw__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[4000],\"dtype\":\"int32\",\"order\":\"little\"}],[\"diverging__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==\"},\"shape\":[4000],\"dtype\":\"bool\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1090\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1091\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1086\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1087\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1088\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1098\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1005\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1006\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1007\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"int32\",\"order\":\"little\"}],[\"alpha\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"float64\",\"order\":\"little\"}],[\"sigma\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"float64\",\"order\":\"little\"}],[\"chain__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"int32\",\"order\":\"little\"}],[\"draw__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"int32\",\"order\":\"little\"}],[\"diverging__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"\"},\"shape\":[0],\"dtype\":\"bool\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1099\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1100\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1095\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1096\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1097\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1058\",\"attributes\":{\"tools\":[{\"id\":\"p1073\"},{\"id\":\"p1074\"},{\"id\":\"p1076\"},{\"id\":\"p1077\"},{\"id\":\"p1079\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1081\"},{\"id\":\"p1082\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1068\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1069\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1070\"},\"axis_label\":\"rho\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1071\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1063\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1064\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1065\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1066\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1067\",\"attributes\":{\"axis\":{\"id\":\"p1063\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1072\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1068\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1102\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1111\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1101\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1112\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1113\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1109\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1140\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1134\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1135\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1136\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[146],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[146],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1141\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1142\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1137\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1138\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.1,\"line_width\":2}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1139\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1110\",\"attributes\":{\"tools\":[{\"id\":\"p1124\"},{\"id\":\"p1125\"},{\"id\":\"p1127\"},{\"id\":\"p1128\"},{\"id\":\"p1130\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1132\"},{\"id\":\"p1133\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1119\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1120\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1121\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1122\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1114\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1115\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1116\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1117\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1118\",\"attributes\":{\"axis\":{\"id\":\"p1114\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1123\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1119\"}}}],\"frame_width\":150,\"frame_height\":150}}]}},{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1297\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1143\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1018\"},\"y_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1255\",\"attributes\":{\"start\":0.037628896,\"end\":0.422007904}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1154\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1155\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1150\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1182\",\"attributes\":{\"data_source\":{\"id\":\"p1002\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1183\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1184\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1179\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1180\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1181\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1191\",\"attributes\":{\"data_source\":{\"id\":\"p1005\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1192\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1193\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1188\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1189\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1190\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1151\",\"attributes\":{\"tools\":[{\"id\":\"p1166\"},{\"id\":\"p1167\"},{\"id\":\"p1169\"},{\"id\":\"p1170\"},{\"id\":\"p1172\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1174\"},{\"id\":\"p1175\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1161\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1162\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1163\"},\"axis_label\":\"sigma\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1164\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1156\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1157\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1158\"},\"axis_label\":\"alpha\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1159\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1160\",\"attributes\":{\"axis\":{\"id\":\"p1156\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1165\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1161\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1194\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1111\"},\"y_range\":{\"id\":\"p1255\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1205\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1206\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1201\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1233\",\"attributes\":{\"data_source\":{\"id\":\"p1002\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1234\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1235\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1230\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04355861524272302}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1231\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1232\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1242\",\"attributes\":{\"data_source\":{\"id\":\"p1005\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1243\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1244\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1239\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1240\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1241\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1202\",\"attributes\":{\"tools\":[{\"id\":\"p1217\"},{\"id\":\"p1218\"},{\"id\":\"p1220\"},{\"id\":\"p1221\"},{\"id\":\"p1223\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1225\"},{\"id\":\"p1226\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1212\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1213\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1214\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1215\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1207\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1208\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1209\"},\"axis_label\":\"rho\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1210\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1211\",\"attributes\":{\"axis\":{\"id\":\"p1207\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1216\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1212\"}}}],\"frame_width\":150,\"frame_height\":150}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1246\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1255\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1245\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1256\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1257\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1253\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1284\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1278\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1279\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1280\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[124],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[124],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1285\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1286\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1281\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1282\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.1,\"line_width\":2}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1283\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1254\",\"attributes\":{\"tools\":[{\"id\":\"p1268\"},{\"id\":\"p1269\"},{\"id\":\"p1271\"},{\"id\":\"p1272\"},{\"id\":\"p1274\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1276\"},{\"id\":\"p1277\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1263\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1264\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1265\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1266\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1258\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1259\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1260\"},\"axis_label\":\"sigma\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1261\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1262\",\"attributes\":{\"axis\":{\"id\":\"p1258\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1267\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1263\"}}}],\"frame_width\":150,\"frame_height\":150}}]}}]}}]}}],\"defs\":[{\"type\":\"model\",\"name\":\"ReactiveHTML1\"},{\"type\":\"model\",\"name\":\"FlexBox1\",\"properties\":[{\"name\":\"align_content\",\"kind\":\"Any\",\"default\":\"flex-start\"},{\"name\":\"align_items\",\"kind\":\"Any\",\"default\":\"flex-start\"},{\"name\":\"flex_direction\",\"kind\":\"Any\",\"default\":\"row\"},{\"name\":\"flex_wrap\",\"kind\":\"Any\",\"default\":\"wrap\"},{\"name\":\"justify_content\",\"kind\":\"Any\",\"default\":\"flex-start\"}]},{\"type\":\"model\",\"name\":\"FloatPanel1\",\"properties\":[{\"name\":\"config\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"contained\",\"kind\":\"Any\",\"default\":true},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"right-top\"},{\"name\":\"offsetx\",\"kind\":\"Any\",\"default\":null},{\"name\":\"offsety\",\"kind\":\"Any\",\"default\":null},{\"name\":\"theme\",\"kind\":\"Any\",\"default\":\"primary\"},{\"name\":\"status\",\"kind\":\"Any\",\"default\":\"normalized\"}]},{\"type\":\"model\",\"name\":\"GridStack1\",\"properties\":[{\"name\":\"mode\",\"kind\":\"Any\",\"default\":\"warn\"},{\"name\":\"ncols\",\"kind\":\"Any\",\"default\":null},{\"name\":\"nrows\",\"kind\":\"Any\",\"default\":null},{\"name\":\"allow_resize\",\"kind\":\"Any\",\"default\":true},{\"name\":\"allow_drag\",\"kind\":\"Any\",\"default\":true},{\"name\":\"state\",\"kind\":\"Any\",\"default\":[]}]},{\"type\":\"model\",\"name\":\"drag1\",\"properties\":[{\"name\":\"slider_width\",\"kind\":\"Any\",\"default\":5},{\"name\":\"slider_color\",\"kind\":\"Any\",\"default\":\"black\"},{\"name\":\"value\",\"kind\":\"Any\",\"default\":50}]},{\"type\":\"model\",\"name\":\"click1\",\"properties\":[{\"name\":\"terminal_output\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"debug_name\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"clears\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"toggle_value1\",\"properties\":[{\"name\":\"active_icons\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"options\",\"kind\":\"Any\",\"default\":{\"type\":\"map\",\"entries\":[[\"favorite\",\"heart\"]]}},{\"name\":\"value\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"_reactions\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"_base_url\",\"kind\":\"Any\",\"default\":\"https://tabler-icons.io/static/tabler-icons/icons/\"}]},{\"type\":\"model\",\"name\":\"copy_to_clipboard1\",\"properties\":[{\"name\":\"value\",\"kind\":\"Any\",\"default\":null},{\"name\":\"fill\",\"kind\":\"Any\",\"default\":\"none\"}]},{\"type\":\"model\",\"name\":\"FastWrapper1\",\"properties\":[{\"name\":\"object\",\"kind\":\"Any\",\"default\":null},{\"name\":\"style\",\"kind\":\"Any\",\"default\":null}]},{\"type\":\"model\",\"name\":\"NotificationAreaBase1\",\"properties\":[{\"name\":\"js_events\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"bottom-right\"},{\"name\":\"_clear\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"NotificationArea1\",\"properties\":[{\"name\":\"js_events\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"notifications\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"bottom-right\"},{\"name\":\"_clear\",\"kind\":\"Any\",\"default\":0},{\"name\":\"types\",\"kind\":\"Any\",\"default\":[{\"type\":\"map\",\"entries\":[[\"type\",\"warning\"],[\"background\",\"#ffc107\"],[\"icon\",{\"type\":\"map\",\"entries\":[[\"className\",\"fas fa-exclamation-triangle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]},{\"type\":\"map\",\"entries\":[[\"type\",\"info\"],[\"background\",\"#007bff\"],[\"icon\",{\"type\":\"map\",\"entries\":[[\"className\",\"fas fa-info-circle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]}]}]},{\"type\":\"model\",\"name\":\"Notification\",\"properties\":[{\"name\":\"background\",\"kind\":\"Any\",\"default\":null},{\"name\":\"duration\",\"kind\":\"Any\",\"default\":3000},{\"name\":\"icon\",\"kind\":\"Any\",\"default\":null},{\"name\":\"message\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"notification_type\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_destroyed\",\"kind\":\"Any\",\"default\":false}]},{\"type\":\"model\",\"name\":\"TemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"BootstrapTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"MaterialTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]}]}};\n",
       "  const render_items = [{\"docid\":\"95dd56fd-0e96-4735-9720-6b11ffcf1dd9\",\"roots\":{\"p1299\":\"bea9f828-a18d-4c57-ab43-2f2ec186a6c8\"},\"root_ids\":[\"p1299\"]}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "p1299"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bokeh.io.show(\n",
    "    bebi103.viz.corner(samples, parameters=[\"alpha\", \"rho\", \"sigma\"])\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior predictive checks with GPs\n",
    "\n",
    "We now have samples for $\\rho$ and $\\alpha$, which means we can calculate the nonparametric function $f$. We could do this with Python, and indeed also compute the posterior predictive checks by drawing data out of the likelihood, but as we have seen, this is quite convenient when done using Stan.\n",
    "\n",
    "Despite this convenience in post processing, Stan does not have built-in functions to compute $\\mathbf{m}_*$ and $\\mathsf{\\Sigma}^*$ for a given data set and set of parameters/hyperparameters. We have to code this up in our Stan model.\n",
    "\n",
    "Fortunately, the linear algebra manipulations involved in the calculation, as laid out in [Lesson 24](../24/intro_to_gps.ipynb), can be performed efficiently using build-in Stan functions. In the Stan code below, I consider a one-dimensional $\\mathbf{X}$ (in the present example this is the array of temperatures). The functions `gp_posterior_mstar()` and `gp_posterior_sigmastar_cholesky()` to respectively compute the posterior $\\mathbf{m}_*$ values and the Cholesky decomposition of $\\mathsf{\\Sigma}_*$ given the kernel matrices $\\mathsf{K}_\\mathbf{y}$, $\\mathsf{K}_*$ and $\\mathsf{K}_{**}$ (the functions actually use the Cholesky decomposition of $\\mathsf{K}_\\mathbf{y}$). I then use those functions in the `generated quantities` block to sample the nonparametric function values $\\mathbf{f}_*$ and posterior predictive data.\n",
    "\n",
    "\n",
    "```stan\n",
    "functions {\n",
    "  vector gp_posterior_mstar(vector y, matrix Ly, matrix Kstar) {\n",
    "    /* \n",
    "     * Obtain posterior mstar for a model with a Normal likelihood and GP prior\n",
    "     * for a given Cholesky decomposition, Ly, of the matrix Ky, and K*.\n",
    "     */\n",
    "\n",
    "    // Get sizes\n",
    "    int N = size(y);\n",
    "    int Nstar = cols(Kstar);\n",
    "\n",
    "    // Compute xi = inv(Ky) . y, which is solution xi to Ky . xi = y.\n",
    "    vector[N] z = mdivide_left_tri_low(Ly, y);\n",
    "    vector[N] xi = mdivide_right_tri_low(z', Ly)';\n",
    "\n",
    "    // Compute mean vector mstar\n",
    "    vector[Nstar] mstar = Kstar' * xi;\n",
    "\n",
    "    return mstar;\n",
    "  }\n",
    "\n",
    "\n",
    "  matrix gp_posterior_sigmastar_cholesky(\n",
    "      vector y, \n",
    "      matrix Ly, \n",
    "      matrix Kstar, \n",
    "      matrix Kstarstar,\n",
    "      real delta) {\n",
    "    /* \n",
    "     * Obtain posterior Σ* for a model with a Normal likelihood and GP prior.\n",
    "     */\n",
    "\n",
    "    // Get sizes\n",
    "    int N = size(y);\n",
    "    int Nstar = cols(Kstar);\n",
    "\n",
    "    // Compute Xi = inv(Ky) . Kstar, which is the solution Xi to Ky . Xi = Kstar.\n",
    "    matrix[N, Nstar] Z = mdivide_left_tri_low(Ly, Kstar);\n",
    "    matrix[N, Nstar] Xi = mdivide_right_tri_low(Z', Ly)';\n",
    "\n",
    "    // Compute Sigma_star (plus a small number of the diagonal to ensure pos. def.)\n",
    "    matrix[Nstar, Nstar] Sigmastar = Kstarstar - Kstar' * Xi \n",
    "                                   + diag_matrix(rep_vector(delta, Nstar));\n",
    "\n",
    "    // Compute and return Cholesky decomposition\n",
    "    matrix[Nstar, Nstar] Lstar = cholesky_decompose(Sigmastar);\n",
    "\n",
    "    return Lstar;\n",
    "  }\n",
    "}\n",
    "\n",
    "data {\n",
    "  int<lower=1> N;\n",
    "  array[N] real x;\n",
    "  vector[N] y;\n",
    "\n",
    "  int<lower=1> Nstar;\n",
    "  array[Nstar] real xstar;\n",
    "}\n",
    "\n",
    "\n",
    "transformed data {\n",
    "  real delta = 1e-8;\n",
    "}\n",
    "\n",
    "\n",
    "parameters {\n",
    "  real<lower=0> alpha;\n",
    "  real<lower=0> rho;\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "\n",
    "\n",
    "model {\n",
    "  alpha ~ normal(0.0, 2.0);\n",
    "  rho ~ inv_gamma(0.5, 2.0);\n",
    "  sigma ~ normal(0.0, 1.0);\n",
    "\n",
    "  matrix[N, N] Ky = gp_exp_quad_cov(x, alpha, rho)\n",
    "                   + diag_matrix(rep_vector(square(sigma), N));\n",
    "  matrix[N, N] Ly = cholesky_decompose(Ky);\n",
    "\n",
    "  y ~ multi_normal_cholesky(rep_vector(0, N), Ly);\n",
    "}\n",
    "\n",
    "\n",
    "generated quantities {\n",
    "  vector[Nstar] fstar;\n",
    "  array[Nstar] real y_ppc;\n",
    "\n",
    "  {  \n",
    "    // Build covariance matrices\n",
    "    matrix[N, N] Ky = gp_exp_quad_cov(x, alpha, rho)\n",
    "                     + diag_matrix(rep_vector(square(sigma), N));\n",
    "    matrix[N, N] Ly = cholesky_decompose(Ky);\n",
    "    matrix[N, Nstar] Kstar = gp_exp_quad_cov(x, xstar, alpha, rho);\n",
    "\n",
    "    matrix[Nstar, Nstar] Kstarstar = gp_exp_quad_cov(xstar, xstar, alpha, rho);\n",
    "    \n",
    "    // Obtain m* and Sigma*\n",
    "    vector[Nstar] mstar = gp_posterior_mstar(y, Ly, Kstar);\n",
    "    matrix[Nstar, Nstar] Lstar = gp_posterior_sigmastar_cholesky(\n",
    "      y, Ly, Kstar, Kstarstar, delta);\n",
    "\n",
    "    // Sample nonparametric function, f*\n",
    "    fstar = multi_normal_cholesky_rng(mstar, Lstar);\n",
    "\n",
    "    // Posterior predictive check\n",
    "    y_ppc = normal_rng(fstar, sigma);\n",
    "  }\n",
    "  \n",
    "}\n",
    "```\n",
    "\n",
    "The functions `gp_posterior_mstar()` and `gp_posterior_sigmastar_cholesky()` are generic for any one-dimensional $x$ and $y$ inputs, so you can copy and paste them into your Stan codes for GP models.\n",
    "\n",
    "Let's go ahead and compile and sample!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "32436743ab334f7ea3843b32eebca855",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 1 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "51ed9a6d5f0541088930d0d08428bbf9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 2 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "065ecf87592d420dbe586a79a5bce49c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 3 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a7b5442d64a84e869c60f378f59abb8b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "chain 4 |          | 00:00 Status"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                                                                                                                                                                                                \n",
      "Effective sample size looks reasonable for all parameters.\n",
      "\n",
      "Rhat looks reasonable for all parameters.\n",
      "\n",
      "0 of 4000 (0.0%) iterations ended with a divergence.\n",
      "\n",
      "0 of 4000 (0.0%) iterations saturated the maximum tree depth of 10.\n",
      "\n",
      "E-BFMI indicated no pathological behavior.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Add N* and x* to data dictionary\n",
    "data = dict(**data, **dict(Nstar=Nstar, xstar=xstar))\n",
    "\n",
    "with bebi103.stan.disable_logging():\n",
    "    sm = cmdstanpy.CmdStanModel(stan_file=\"gp_kinetics.stan\")\n",
    "    samples = sm.sample(data=data)\n",
    "    \n",
    "# Convert to ArviZ\n",
    "samples = az.from_cmdstanpy(samples, posterior_predictive=[\"fstar\", \"y_ppc\"])\n",
    "\n",
    "# Check diagnostics\n",
    "bebi103.stan.check_all_diagnostics(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are again all good on the sampling. Let's look at a plot of our samples of the nonparametric function $f$. The distribution for each point in $\\mathbf{x}_*$ is no longer Normal as it was for a *specific* set of parameters $\\rho$, $\\alpha$, and $\\sigma$, so we compute the credible intervals for $f$ using the samples. We can use the `bebi103.viz.predictive_regression()` function for this, even though it this is not a posterior predictive plot, but a plot of samples of the nonparametric function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"d1c1ea28-83f5-4082-ae9b-695f9b2dc0f7\" data-root-id=\"p1320\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"6625712d-baf3-450a-bfdb-c92446b95009\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1320\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1321\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1322\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1329\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1330\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1327\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1354\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1348\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1349\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1350\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1355\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1356\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1351\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0,\"line_width\":0,\"fill_color\":\"#fdae6b\"}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1352\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.1,\"line_width\":0,\"fill_color\":\"#fdae6b\",\"fill_alpha\":0.1,\"hatch_alpha\":0.1}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1353\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.2,\"line_width\":0,\"fill_color\":\"#fdae6b\",\"fill_alpha\":0.2,\"hatch_alpha\":0.2}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1363\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1357\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1358\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1359\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1364\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1365\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1360\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0,\"line_width\":0,\"fill_color\":\"#fd8d3c\"}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1361\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.1,\"line_width\":0,\"fill_color\":\"#fd8d3c\",\"fill_alpha\":0.1,\"hatch_alpha\":0.1}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1362\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.2,\"line_width\":0,\"fill_color\":\"#fd8d3c\",\"fill_alpha\":0.2,\"hatch_alpha\":0.2}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1372\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1366\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1367\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1368\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[250],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[250],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1373\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1374\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1369\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#8c2d04\",\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1370\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#8c2d04\",\"line_alpha\":0.1,\"line_width\":2}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1371\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#8c2d04\",\"line_alpha\":0.2,\"line_width\":2}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1381\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1375\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1376\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1377\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"ud2lfuSrfEBIwjCFHy99QE+R06Bdj31ACsWq5wcufkCA6LWztKh+QFL5bF0Hon9AUvlsXQeif0D1CRCoxwiAQMWLIAG4VoBAKs3HDMh3gEA=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"/o+RalsiWj+jYrhisQdgP8E7TuXf1mI/jATFgMifaj+9umKF5mFyP1mEE5l5gHo/Ovf0Bh5PeT+KtlxcXVyAP1DRf0Ez44E/4uhEBeZ8gz8=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1382\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1383\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1378\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"#1f78b4\"},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f78b4\"},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1379\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"#1f78b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.1},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f78b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.1},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1380\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"#1f78b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f78b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1328\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1341\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1342\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1343\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1344\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1345\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1346\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1347\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1336\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1337\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1338\"},\"axis_label\":\"y\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1339\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1331\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1332\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1333\"},\"axis_label\":\"x\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1334\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1335\",\"attributes\":{\"axis\":{\"id\":\"p1331\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1340\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1336\"}}}],\"frame_width\":400,\"frame_height\":325}}],\"defs\":[{\"type\":\"model\",\"name\":\"ReactiveHTML1\"},{\"type\":\"model\",\"name\":\"FlexBox1\",\"properties\":[{\"name\":\"align_content\",\"kind\":\"Any\",\"default\":\"flex-start\"},{\"name\":\"align_items\",\"kind\":\"Any\",\"default\":\"flex-start\"},{\"name\":\"flex_direction\",\"kind\":\"Any\",\"default\":\"row\"},{\"name\":\"flex_wrap\",\"kind\":\"Any\",\"default\":\"wrap\"},{\"name\":\"justify_content\",\"kind\":\"Any\",\"default\":\"flex-start\"}]},{\"type\":\"model\",\"name\":\"FloatPanel1\",\"properties\":[{\"name\":\"config\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"contained\",\"kind\":\"Any\",\"default\":true},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"right-top\"},{\"name\":\"offsetx\",\"kind\":\"Any\",\"default\":null},{\"name\":\"offsety\",\"kind\":\"Any\",\"default\":null},{\"name\":\"theme\",\"kind\":\"Any\",\"default\":\"primary\"},{\"name\":\"status\",\"kind\":\"Any\",\"default\":\"normalized\"}]},{\"type\":\"model\",\"name\":\"GridStack1\",\"properties\":[{\"name\":\"mode\",\"kind\":\"Any\",\"default\":\"warn\"},{\"name\":\"ncols\",\"kind\":\"Any\",\"default\":null},{\"name\":\"nrows\",\"kind\":\"Any\",\"default\":null},{\"name\":\"allow_resize\",\"kind\":\"Any\",\"default\":true},{\"name\":\"allow_drag\",\"kind\":\"Any\",\"default\":true},{\"name\":\"state\",\"kind\":\"Any\",\"default\":[]}]},{\"type\":\"model\",\"name\":\"drag1\",\"properties\":[{\"name\":\"slider_width\",\"kind\":\"Any\",\"default\":5},{\"name\":\"slider_color\",\"kind\":\"Any\",\"default\":\"black\"},{\"name\":\"value\",\"kind\":\"Any\",\"default\":50}]},{\"type\":\"model\",\"name\":\"click1\",\"properties\":[{\"name\":\"terminal_output\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"debug_name\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"clears\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"toggle_value1\",\"properties\":[{\"name\":\"active_icons\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"options\",\"kind\":\"Any\",\"default\":{\"type\":\"map\",\"entries\":[[\"favorite\",\"heart\"]]}},{\"name\":\"value\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"_reactions\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"_base_url\",\"kind\":\"Any\",\"default\":\"https://tabler-icons.io/static/tabler-icons/icons/\"}]},{\"type\":\"model\",\"name\":\"copy_to_clipboard1\",\"properties\":[{\"name\":\"value\",\"kind\":\"Any\",\"default\":null},{\"name\":\"fill\",\"kind\":\"Any\",\"default\":\"none\"}]},{\"type\":\"model\",\"name\":\"FastWrapper1\",\"properties\":[{\"name\":\"object\",\"kind\":\"Any\",\"default\":null},{\"name\":\"style\",\"kind\":\"Any\",\"default\":null}]},{\"type\":\"model\",\"name\":\"NotificationAreaBase1\",\"properties\":[{\"name\":\"js_events\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"bottom-right\"},{\"name\":\"_clear\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"NotificationArea1\",\"properties\":[{\"name\":\"js_events\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"notifications\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"bottom-right\"},{\"name\":\"_clear\",\"kind\":\"Any\",\"default\":0},{\"name\":\"types\",\"kind\":\"Any\",\"default\":[{\"type\":\"map\",\"entries\":[[\"type\",\"warning\"],[\"background\",\"#ffc107\"],[\"icon\",{\"type\":\"map\",\"entries\":[[\"className\",\"fas fa-exclamation-triangle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]},{\"type\":\"map\",\"entries\":[[\"type\",\"info\"],[\"background\",\"#007bff\"],[\"icon\",{\"type\":\"map\",\"entries\":[[\"className\",\"fas fa-info-circle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]}]}]},{\"type\":\"model\",\"name\":\"Notification\",\"properties\":[{\"name\":\"background\",\"kind\":\"Any\",\"default\":null},{\"name\":\"duration\",\"kind\":\"Any\",\"default\":3000},{\"name\":\"icon\",\"kind\":\"Any\",\"default\":null},{\"name\":\"message\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"notification_type\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_destroyed\",\"kind\":\"Any\",\"default\":false}]},{\"type\":\"model\",\"name\":\"TemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"BootstrapTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"MaterialTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]}]}};\n",
       "  const render_items = [{\"docid\":\"6625712d-baf3-450a-bfdb-c92446b95009\",\"roots\":{\"p1320\":\"d1c1ea28-83f5-4082-ae9b-695f9b2dc0f7\"},\"root_ids\":[\"p1320\"]}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "p1320"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fstar_scaled = (\n",
    "    samples.posterior_predictive[\"fstar\"]\n",
    "    .stack({\"sample\": (\"chain\", \"draw\")})\n",
    "    .transpose(\"sample\", \"fstar_dim_0\")\n",
    ")\n",
    "\n",
    "# Uncenter and unscale\n",
    "fstar = k.std() * fstar_scaled + k.mean()\n",
    "Tstar = T.std() * xstar + T.mean()\n",
    "\n",
    "bokeh.io.show(\n",
    "    bebi103.viz.predictive_regression(\n",
    "        fstar,\n",
    "        Tstar,\n",
    "        data=np.stack((T, k)).transpose(),\n",
    "        color=\"orange\",\n",
    "        data_kwargs=dict(line_color=\"#1f78b4\", fill_color=\"#1f78b4\"),\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also have posterior predictive samples, so we can compare those to the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"c10bbae1-a7d4-458e-9764-daafab688704\" data-root-id=\"p1392\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"d3014216-2602-42bb-8759-acffc71a8979\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1392\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1393\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1394\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1401\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1402\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1399\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1426\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1420\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1421\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1422\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1427\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1428\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1423\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0,\"line_width\":0,\"fill_color\":\"#9ecae1\"}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1424\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.1,\"line_width\":0,\"fill_color\":\"#9ecae1\",\"fill_alpha\":0.1,\"hatch_alpha\":0.1}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1425\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.2,\"line_width\":0,\"fill_color\":\"#9ecae1\",\"fill_alpha\":0.2,\"hatch_alpha\":0.2}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1435\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1429\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1430\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1431\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[500],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1436\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1437\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1432\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0,\"line_width\":0,\"fill_color\":\"#6baed6\"}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1433\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.1,\"line_width\":0,\"fill_color\":\"#6baed6\",\"fill_alpha\":0.1,\"hatch_alpha\":0.1}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1434\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.2,\"line_width\":0,\"fill_color\":\"#6baed6\",\"fill_alpha\":0.2,\"hatch_alpha\":0.2}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1444\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1438\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1439\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1440\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[250],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[250],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1445\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1446\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1441\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#084594\",\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1442\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#084594\",\"line_alpha\":0.1,\"line_width\":2}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1443\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#084594\",\"line_alpha\":0.2,\"line_width\":2}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1453\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1447\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1448\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1449\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"ud2lfuSrfEBIwjCFHy99QE+R06Bdj31ACsWq5wcufkCA6LWztKh+QFL5bF0Hon9AUvlsXQeif0D1CRCoxwiAQMWLIAG4VoBAKs3HDMh3gEA=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"/o+RalsiWj+jYrhisQdgP8E7TuXf1mI/jATFgMifaj+9umKF5mFyP1mEE5l5gHo/Ovf0Bh5PeT+KtlxcXVyAP1DRf0Ez44E/4uhEBeZ8gz8=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1454\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1455\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1450\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1451\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.1},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.1},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1452\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_color\":{\"type\":\"value\",\"value\":\"orange\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"orange\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_color\":{\"type\":\"value\",\"value\":\"orange\"},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1400\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1413\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1414\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1415\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1416\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"top_units\":\"canvas\",\"bottom_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1417\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1418\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1419\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1408\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1409\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1410\"},\"axis_label\":\"y\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1411\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1403\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1404\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1405\"},\"axis_label\":\"x\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1406\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1407\",\"attributes\":{\"axis\":{\"id\":\"p1403\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1412\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1408\"}}}],\"frame_width\":400,\"frame_height\":325}}],\"defs\":[{\"type\":\"model\",\"name\":\"ReactiveHTML1\"},{\"type\":\"model\",\"name\":\"FlexBox1\",\"properties\":[{\"name\":\"align_content\",\"kind\":\"Any\",\"default\":\"flex-start\"},{\"name\":\"align_items\",\"kind\":\"Any\",\"default\":\"flex-start\"},{\"name\":\"flex_direction\",\"kind\":\"Any\",\"default\":\"row\"},{\"name\":\"flex_wrap\",\"kind\":\"Any\",\"default\":\"wrap\"},{\"name\":\"justify_content\",\"kind\":\"Any\",\"default\":\"flex-start\"}]},{\"type\":\"model\",\"name\":\"FloatPanel1\",\"properties\":[{\"name\":\"config\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"contained\",\"kind\":\"Any\",\"default\":true},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"right-top\"},{\"name\":\"offsetx\",\"kind\":\"Any\",\"default\":null},{\"name\":\"offsety\",\"kind\":\"Any\",\"default\":null},{\"name\":\"theme\",\"kind\":\"Any\",\"default\":\"primary\"},{\"name\":\"status\",\"kind\":\"Any\",\"default\":\"normalized\"}]},{\"type\":\"model\",\"name\":\"GridStack1\",\"properties\":[{\"name\":\"mode\",\"kind\":\"Any\",\"default\":\"warn\"},{\"name\":\"ncols\",\"kind\":\"Any\",\"default\":null},{\"name\":\"nrows\",\"kind\":\"Any\",\"default\":null},{\"name\":\"allow_resize\",\"kind\":\"Any\",\"default\":true},{\"name\":\"allow_drag\",\"kind\":\"Any\",\"default\":true},{\"name\":\"state\",\"kind\":\"Any\",\"default\":[]}]},{\"type\":\"model\",\"name\":\"drag1\",\"properties\":[{\"name\":\"slider_width\",\"kind\":\"Any\",\"default\":5},{\"name\":\"slider_color\",\"kind\":\"Any\",\"default\":\"black\"},{\"name\":\"value\",\"kind\":\"Any\",\"default\":50}]},{\"type\":\"model\",\"name\":\"click1\",\"properties\":[{\"name\":\"terminal_output\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"debug_name\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"clears\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"toggle_value1\",\"properties\":[{\"name\":\"active_icons\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"options\",\"kind\":\"Any\",\"default\":{\"type\":\"map\",\"entries\":[[\"favorite\",\"heart\"]]}},{\"name\":\"value\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"_reactions\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"_base_url\",\"kind\":\"Any\",\"default\":\"https://tabler-icons.io/static/tabler-icons/icons/\"}]},{\"type\":\"model\",\"name\":\"copy_to_clipboard1\",\"properties\":[{\"name\":\"value\",\"kind\":\"Any\",\"default\":null},{\"name\":\"fill\",\"kind\":\"Any\",\"default\":\"none\"}]},{\"type\":\"model\",\"name\":\"FastWrapper1\",\"properties\":[{\"name\":\"object\",\"kind\":\"Any\",\"default\":null},{\"name\":\"style\",\"kind\":\"Any\",\"default\":null}]},{\"type\":\"model\",\"name\":\"NotificationAreaBase1\",\"properties\":[{\"name\":\"js_events\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"bottom-right\"},{\"name\":\"_clear\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"NotificationArea1\",\"properties\":[{\"name\":\"js_events\",\"kind\":\"Any\",\"default\":{\"type\":\"map\"}},{\"name\":\"notifications\",\"kind\":\"Any\",\"default\":[]},{\"name\":\"position\",\"kind\":\"Any\",\"default\":\"bottom-right\"},{\"name\":\"_clear\",\"kind\":\"Any\",\"default\":0},{\"name\":\"types\",\"kind\":\"Any\",\"default\":[{\"type\":\"map\",\"entries\":[[\"type\",\"warning\"],[\"background\",\"#ffc107\"],[\"icon\",{\"type\":\"map\",\"entries\":[[\"className\",\"fas fa-exclamation-triangle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]},{\"type\":\"map\",\"entries\":[[\"type\",\"info\"],[\"background\",\"#007bff\"],[\"icon\",{\"type\":\"map\",\"entries\":[[\"className\",\"fas fa-info-circle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]}]}]},{\"type\":\"model\",\"name\":\"Notification\",\"properties\":[{\"name\":\"background\",\"kind\":\"Any\",\"default\":null},{\"name\":\"duration\",\"kind\":\"Any\",\"default\":3000},{\"name\":\"icon\",\"kind\":\"Any\",\"default\":null},{\"name\":\"message\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"notification_type\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_destroyed\",\"kind\":\"Any\",\"default\":false}]},{\"type\":\"model\",\"name\":\"TemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"BootstrapTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"MaterialTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]}]}};\n",
       "  const render_items = [{\"docid\":\"d3014216-2602-42bb-8759-acffc71a8979\",\"roots\":{\"p1392\":\"c10bbae1-a7d4-458e-9764-daafab688704\"},\"root_ids\":[\"p1392\"]}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "p1392"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "k_ppc_scaled = (\n",
    "    samples.posterior_predictive[\"y_ppc\"]\n",
    "    .stack({\"sample\": (\"chain\", \"draw\")})\n",
    "    .transpose(\"sample\", \"y_ppc_dim_0\")\n",
    ")\n",
    "\n",
    "# Uncenter and unscale\n",
    "k_ppc = k.std() * k_ppc_scaled + k.mean()\n",
    "\n",
    "bokeh.io.show(\n",
    "    bebi103.viz.predictive_regression(k_ppc, Tstar, data=np.stack((T, k)).transpose(),)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Very nice!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "bebi103.stan.clean_cmdstan()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Python implementation: CPython\n",
      "Python version       : 3.11.5\n",
      "IPython version      : 8.15.0\n",
      "\n",
      "numpy     : 1.26.2\n",
      "scipy     : 1.11.4\n",
      "pandas    : 2.1.4\n",
      "cmdstanpy : 1.2.0\n",
      "arviz     : 0.17.0\n",
      "bokeh     : 3.3.0\n",
      "bebi103   : 0.1.20\n",
      "jupyterlab: 4.0.10\n",
      "\n",
      "cmdstan   : 2.34.0\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -v -p numpy,scipy,pandas,cmdstanpy,arviz,bokeh,bebi103,jupyterlab\n",
    "print(\"cmdstan   :\", bebi103.stan.cmdstan_version())"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}