{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian processes with non-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,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);\n",
       "        }\n",
       "    </style>\n",
       "    <div>\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-notebook-logo\"></a>\n",
       "        <span id=\"c0c43774-283e-4222-bab4-e8bf3d278038\">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(\"c0c43774-283e-4222-bab4-e8bf3d278038\");\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(\"c0c43774-283e-4222-bab4-e8bf3d278038\")).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(\"c0c43774-283e-4222-bab4-e8bf3d278038\");\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(\"c0c43774-283e-4222-bab4-e8bf3d278038\")).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",
    "\n",
    "import cmdstanpy\n",
    "import arviz as az\n",
    "\n",
    "import iqplot\n",
    "import bebi103\n",
    "\n",
    "import bokeh.io\n",
    "bokeh.io.output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thus far in our studies of Gaussian processes, we have considered models with Normal likelihoods which enables marginalization over the latent variables, the values of the nonparametric function we are fitting. We could then compute the function values (the latent variables) after optimization or sampling of the hyperparameters by drawing samples out of the posterior, for which we have an analytical expression. \n",
    "\n",
    "In this lesson, we will explicitly sample the latent variables. We will first do it for a model with a Normal likelihood to as a demonstration. We will then do it for a non-Normal likelihood, where is it necessary."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating samples of latent variables using MCMC\n",
    "\n",
    "We will again consider the Wolfenden, et al., chemical kinetics data set. We'll start be loading the data set, centering and scaling, and getting up the points for which we want to evaluate the nonparametric function."
   ]
  },
  {
   "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"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just as a reminder, let's make a quick plot of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"f8338b69-6345-47c3-8a40-fd4e80791b10\" data-root-id=\"p1002\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"a8af2301-a70e-4ee0-8fb5-af545e875080\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1002\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1003\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1004\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1011\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1012\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1009\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1039\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1030\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1031\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1032\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAEAAAACAAAAAwAAAAQAAAAFAAAABgAAAAcAAAAIAAAACQAAAA==\"},\"shape\":[10],\"dtype\":\"int32\",\"order\":\"little\"}],[\"1000/T (1/K)\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"/vg27rJc/j86Aw6SI5r+PyDmj2/jLv8/ZhNUbNWc/z9mE1Rs1Zz/P1Zznq70TgBARzSNDj+RAEDWSZUxLOoAQOz+pST0IQFAoAjQ2l5wAUA=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}],[\"ln k (1/s)\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"oKpBtYqeEsAcGcsISvYSwOwePvKkURPAXR21T4YpFMBPOH+7rlgUwLLb/8QfoBXAJHeYwZfqFsDA+xW5w0wYwColYnwf8hjAAbGgH2XDGcA=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}],[\"T (K)\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"Ks3HDMh3gEDFiyABuFaAQPUJEKjHCIBAUvlsXQeif0BS+WxdB6J/QIDotbO0qH5ACsWq5wcufkBPkdOgXY99QEjCMIUfL31Aud2lfuSrfEA=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}],[\"k (1/s)\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"4uhEBeZ8gz9Q0X9BM+OBP4q2XFxdXIA/WYQTmXmAej869/QGHk95P726YoXmYXI/jATFgMifaj/BO07l39ZiP6NiuGKxB2A//o+RalsiWj8=\"},\"shape\":[10],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1040\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1041\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1036\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"T (K)\"},\"y\":{\"type\":\"field\",\"field\":\"k (1/s)\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1037\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"T (K)\"},\"y\":{\"type\":\"field\",\"field\":\"k (1/s)\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.1},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.1},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1038\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"T (K)\"},\"y\":{\"type\":\"field\",\"field\":\"k (1/s)\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1010\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1023\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1024\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1025\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1026\",\"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\":\"p1027\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1028\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1029\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1018\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1019\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1020\"},\"axis_label\":\"k (1/s)\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1021\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1013\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1014\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1015\"},\"axis_label\":\"T (K)\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1016\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1017\",\"attributes\":{\"axis\":{\"id\":\"p1013\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1022\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1018\"}}}],\"frame_width\":350,\"frame_height\":250}}],\"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\":\"a8af2301-a70e-4ee0-8fb5-af545e875080\",\"roots\":{\"p1002\":\"f8338b69-6345-47c3-8a40-fd4e80791b10\"},\"root_ids\":[\"p1002\"]}];\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": "p1002"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make plot\n",
    "p = bokeh.plotting.figure(\n",
    "    frame_height=250, frame_width=350, x_axis_label=\"T (K)\", y_axis_label=\"k (1/s)\"\n",
    ")\n",
    "p.circle(source=df, x=\"T (K)\", y=\"k (1/s)\")\n",
    "\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A GP generative model\n",
    "\n",
    "The unmarginalized generative model we have been using is\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",
    "&f \\mid \\mathbf{T}, \\alpha, \\rho \\sim \\text{GP}(\\mathbf{0}, k_\\mathrm{SE}(\\mathbf{T}, \\mathbf{T}' ; \\alpha, \\rho)),\\\\[1em]\n",
    "&y_i \\mid \\mathbf{T}, f, \\sigma \\sim \\text{Norm}(f(T_i), \\sigma)\\;\\forall i.\n",
    "\\end{align}\n",
    "\n",
    "We can equivalently write this as\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{f} \\mid \\mathbf{T}, \\alpha, \\rho \\sim \\text{MultiNorm}(\\mathbf{T}, \\mathsf{K}),\\\\[1em]\n",
    "&y_i \\mid f_i, \\sigma \\sim \\text{Norm}(f_i, \\sigma)\\;\\forall i,\n",
    "\\end{align}\n",
    "\n",
    "where $\\mathsf{K}$ is the covariance matrix constructed from the squared exponential kernel with hyperparameters $\\rho$ and $\\alpha$. Importantly, we are going to **sample** the values of $f$ at temperature $T_i$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Noncentering\n",
    "\n",
    "This model has a hierarchical structure, with a layer of latent variables $\\mathbf{f}$ between the hyperparamaters $\\alpha$ and $\\rho$ and the observed data $\\mathbf{y}$. As such, it is useful for sampling to noncenter the model. We have not yet noncentered a multivariate conditional prior. Say we have a multivariate Normal conditional prior for parameters $\\boldsymbol{\\theta}$ conditioned on hyperparameters $\\boldsymbol{\\phi}$ and $\\mathsf{\\Sigma}$,\n",
    "\n",
    "\\begin{align}\n",
    "\\boldsymbol{\\theta} \\sim \\text{MultiNorm}(\\boldsymbol{\\phi}, \\mathsf{\\Sigma}).\n",
    "\\end{align}\n",
    "\n",
    "If $\\mathsf{L}$ is the Cholesky decomposition of $\\mathsf{\\Sigma}$, then this is can be equivalently written in noncentered form as\n",
    "\n",
    "\\begin{align}\n",
    "&\\tilde{\\theta}_i \\sim \\text{Norm}(0, 1)\\;\\forall i,\\\\[1em]\n",
    "&\\boldsymbol{\\theta} = \\boldsymbol{\\phi} + \\mathsf{L}\\cdot \\tilde{\\boldsymbol{\\theta}}\n",
    "\\end{align}\n",
    "\n",
    "Therefore, we can write the generative model in noncentered form,\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",
    "&\\tilde{f}_i \\sim \\text{Norm}(0, 1)\\;\\forall i,\\\\[1em]\n",
    "&\\mathbf{f} = \\mathsf{L}\\cdot\\mathbf{f},\\\\[1em]\n",
    "&y_i \\mid f_i, \\sigma \\sim \\text{Norm}(f_i, \\sigma)\\;\\forall i,\n",
    "\\end{align}\n",
    "\n",
    "where we have used the fact that because of the preprocessing of the data set, the mean of the GP is zero. Here, $\\mathsf{L}$ is the Cholesky decomposition of $\\mathsf{K}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling latent variables with Stan\n",
    "\n",
    "Now that we have our model, we can code it up in Stan and draw samples.\n",
    "\n",
    "```stan\n",
    "data {\n",
    "  int<lower=1> N;\n",
    "  vector[N] y;\n",
    "\n",
    "  int<lower=1> Nstar;\n",
    "  array[N] int xstar_inds;\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",
    "\n",
    "  real<lower=0> sigma;\n",
    "\n",
    "  vector[Nstar] f_tilde;\n",
    "}\n",
    "\n",
    "\n",
    "transformed parameters {\n",
    "  vector[Nstar] f;\n",
    "\n",
    "  {\n",
    "    matrix[Nstar, Nstar] K = gp_exp_quad_cov(xstar, alpha, rho)\n",
    "                             + diag_matrix(rep_vector(delta, Nstar));\n",
    "    matrix[Nstar, Nstar] L = cholesky_decompose(K);\n",
    "    f = L * f_tilde;\n",
    "  }\n",
    "}\n",
    "\n",
    "\n",
    "model {\n",
    "  alpha ~ normal(0.0, 2.0);\n",
    "  rho ~ inv_gamma(0.5, 2.0);\n",
    "\n",
    "  sigma ~ normal(0.0, 1.0);\n",
    "\n",
    "  f_tilde ~ normal(0.0, 1.0);\n",
    "\n",
    "  y ~ normal(f[xstar_inds], sigma);\n",
    "}\n",
    "\n",
    "\n",
    "generated quantities {\n",
    "  array[N] real y_ppc;\n",
    "  y_ppc = normal_rng(f, sigma);\n",
    "}\n",
    "```\n",
    "\n",
    "There a few things to note in this Stan code. \n",
    "\n",
    "1. This is a generic Stan code for sampling univariate values of $x$ and $y$. For the problem of the kinetics data, $x = T$ and $y = k$.\n",
    "2. The array `f` has the function value at all points we want to sample, `xstar`. Note that `xstar` *must* also contain the $x$-values of the points where data were actually measured. The `xstar_inds` array is the same length as the measured data `y`, and it contains the indices of the corresponding values in `xstar` where the `y` values were measured.\n",
    "3. We need to add a small value to the diagonal of the covariance matrix to ensure positive definiteness.\n",
    "\n",
    "Prior to sampling, we need to generate the arrays `xstar` and `xstar_inds` so that they contain the $x$-values for measured data. We also need to ensure that `xstar` has no repeats. This can be accomplished with the `bebi103.gp.append_sort_index()` function. It takes as input the values for which you want samples of the latent variables, $\\mathbf{x}_*$, the $x$-values from the data set, $\\mathbf{x}$, and an `index_origin` kwarg that indicates whether to start indexing at zero (for Python) or one (for Stan). It then generates a set of $x$-values for which to get samples of $f$ by appending $\\mathbf{x}$ to $\\mathbf{x}_*$ and deleting duplicates. It also generates the array of indicies linking the values of `xstar` to the measured quantities `y`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Center and scale\n",
    "k_scaled = (k - k.mean()) / k.std()\n",
    "T_scaled = (T - T.mean()) / T.std()\n",
    "\n",
    "# Sample at 50 points\n",
    "Nstar = 50\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",
    ")\n",
    "\n",
    "# Generate the arrays for use in Stan\n",
    "xstar, xstar_inds = bebi103.gp.append_sort_index(xstar, T_scaled, index_origin=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([-1.73988004, -1.67222743, -1.60457482, -1.58919923, -1.53692222,\n",
       "        -1.46926961, -1.401617  , -1.3339644 , -1.26631179, -1.22693001,\n",
       "        -1.19865918, -1.13100658, -1.06335397, -0.99570136, -0.96124699,\n",
       "        -0.92804876, -0.86039615, -0.79274354, -0.72509093, -0.65743833,\n",
       "        -0.58978572, -0.52324311, -0.52213311, -0.45448051, -0.3868279 ,\n",
       "        -0.31917529, -0.25152269, -0.18459205, -0.18387008, -0.11621747,\n",
       "        -0.04856487,  0.01908774,  0.08674035,  0.15439295,  0.22204556,\n",
       "         0.28969817,  0.35735077,  0.42500338,  0.49265599,  0.50367757,\n",
       "         0.56030859,  0.6279612 ,  0.69561381,  0.76326641,  0.81156517,\n",
       "         0.83091902,  0.89857163,  0.96622423,  1.03387684,  1.10152945,\n",
       "         1.16918205,  1.23683466,  1.2418742 ,  1.30448727,  1.37213987,\n",
       "         1.42441689,  1.43979248,  1.50744509,  1.57509769]),\n",
       " array([56, 53, 45, 40, 40, 28, 22, 15, 10,  4]),\n",
       " array([526.97268063, 522.8398459 , 513.09748852, 506.12679808,\n",
       "        506.12679808, 490.5441167 , 482.87692992, 472.96035845,\n",
       "        466.94519538, 458.74328484]))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xstar, xstar_inds, T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that we have a repeat measurement around $T = 506$ K. The `xstar_inds` array has a double entry for index `40`, which corresponds to the entry in `xstar` for that data point.\n",
    "\n",
    "It is important to note that I chose $N_* = 50$. I chose this instead of a larger number because the speed of the sampling scales like $N_*^3$, since we need to perform a Cholesky decomposition of an $N_*\\times N_*$ matrix for every leapfrog *step* in the sampling (not just for every sample as we do in the `generated quantities` block when we sample with the latent variables marginalized out). This can lead to very long sampling times if we allow $N_*$ to be too large.\n",
    "\n",
    "We now have everything in place to set up sampling!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b8fa521de5494434916d00a2285747ca",
       "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": "e431138e2b78464db668bb98a109a697",
       "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": "7b6e1823ac7c4c329c97d5058625c8c5",
       "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": "33e4bb7f5cac474c853a2b5ff001ed18",
       "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"
     ]
    }
   ],
   "source": [
    "data = dict(\n",
    "    N=len(T_scaled),\n",
    "    y=k_scaled,\n",
    "    Nstar=len(xstar),\n",
    "    xstar_inds=xstar_inds,\n",
    "    xstar=xstar\n",
    ")\n",
    "\n",
    "with bebi103.stan.disable_logging():\n",
    "    sm = cmdstanpy.CmdStanModel(stan_file=\"gp_kinetics_no_marg.stan\")\n",
    "    samples = sm.sample(data=data)\n",
    "\n",
    "samples = az.from_cmdstanpy(samples, posterior_predictive=\"y_ppc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As usual, we should check diagnostics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective sample size looks reasonable for all parameters.\n",
      "\n",
      "Rhat looks reasonable for all parameters.\n",
      "\n",
      "54 of 4000 (1.35%) iterations ended with a divergence.\n",
      "  Try running with larger adapt_delta to remove divergences.\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": [
       "4"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bebi103.stan.check_all_diagnostics(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's not too bad, but we do see a lot of divergences. This is not surprising given the hierarchical model. We have already noncentered, so we can try dialing up `adapt_delta`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "16e9b7c9a59e468facc2f1bf9efacc5d",
       "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": "42fda66f2e2d4e828a129d09872693d6",
       "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": "2381e5de8cd7445cb914eaa34e36c2c3",
       "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": "77684eca859a44f798d7658b01b74be7",
       "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",
      "1 of 4000 (0.025%) iterations ended with a divergence.\n",
      "  Try running with larger adapt_delta to remove divergences.\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": [
       "4"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with bebi103.stan.disable_logging():\n",
    "    samples = sm.sample(data=data, adapt_delta=0.95)\n",
    "\n",
    "samples = az.from_cmdstanpy(samples, posterior_predictive=\"y_ppc\")\n",
    "    \n",
    "bebi103.stan.check_all_diagnostics(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Much better! Let's take a look at the corner plot of the hyperparameters and $\\sigma$ samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"cb078688-ffc4-4bba-8be2-55988da7d0f8\" data-root-id=\"p1344\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"dc7ac116-37bb-4c52-b8dc-cb5c94e6bbf2\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1344\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1339\",\"attributes\":{\"styles\":{\"type\":\"map\",\"entries\":[[\"orientation\",\"horizontal\"]]},\"tools\":[{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1332\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1076\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1118\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1169\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1211\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1262\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1313\"}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1333\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1077\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1078\",\"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\":\"p1119\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1120\",\"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\":\"p1170\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1171\",\"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\":\"p1212\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1213\",\"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\":\"p1263\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1264\",\"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\":\"p1314\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1315\",\"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\":\"p1334\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1079\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1121\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1172\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1214\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1265\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1316\",\"attributes\":{\"renderers\":\"auto\"}}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1335\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1080\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1081\",\"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\":\"p1122\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1123\",\"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\":\"p1173\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1174\",\"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\":\"p1215\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1216\",\"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\":\"p1266\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1267\",\"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\":\"p1317\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1318\",\"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\":\"p1336\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1082\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1083\",\"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\":\"p1124\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1125\",\"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\":\"p1175\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1176\",\"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\":\"p1217\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1218\",\"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\":\"p1268\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1269\",\"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\":\"p1319\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1320\",\"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\":\"p1337\"},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1338\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1085\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1127\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1178\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1220\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1271\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1322\"}]}}]}},{\"type\":\"object\",\"name\":\"Column\",\"id\":\"p1343\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1340\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1054\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1063\",\"attributes\":{\"start\":0.32773404,\"end\":7.372587960000001}},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1053\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1064\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1065\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1061\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1092\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1086\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1087\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1088\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[96],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAAAAAChv/kDAt6YP6G/+QMC3pg/B8tmhBSIqz8Hy2aEFIirPxpbaAOUUMU/GltoA5RQxT8ijUjzo4nUPyKNSPOjidQ/fQIVpIaI2T99AhWkhojZP3vPknLaGOA/e8+SctoY4D97z5Jy2hjgP3vPknLaGOA/mw/H+q1f4T+bD8f6rV/hP9upwUR5wN0/26nBRHnA3T9s1tMEJzLeP2zW0wQnMt4/8jTGtOTc3T/yNMa05NzdP/I5w8P4iNc/8jnDw/iI1z8Z96cjdN7WPxn3pyN03tY/0eCeQ52l1j/R4J5DnaXWP5r21gImw9E/mvbWAibD0T/gDYIkmTLMP+ANgiSZMsw/tOzc5P1qzj+07Nzk/WrOPxOT50NUbMg/E5PnQ1RsyD8fW2gDlFDFPx9baAOUUMU/mvbWAibDwT+a9tYCJsPBP8Gzu2KhGME/wbO7YqEYwT/FGB6EXcG5P8UYHoRdwbk/mvbWAibDsT+a9tYCJsOxPy20jIPvM7Y/LbSMg+8ztj/6ycRCeFGxP/rJxEJ4UbE/xRgehF3BqT/FGB6EXcGpPz+0jIPvM6Y/P7SMg+8zpj8pJIsEcGucPykkiwRwa5w/bNbTBCcynj9s1tMEJzKeP66IHAXe+I8/rogcBd74jz+a9tYCJsOBP5r21gImw4E/mvbWAibDkT+a9tYCJsORP5r21gImw5E/mvbWAibDkT8pJIsEcGuMPykkiwRwa4w/pL/5AwLeiD+kv/kDAt6IPx9baAOUUHU/H1toA5RQdT8pJIsEcGtcPykkiwRwa1w/AAAAAAAAAAAAAAAAAAAAACkkiwRwa2w/KSSLBHBrbD8pJIsEcGtcPykkiwRwa1w/AAAAAAAAAAAAAAAAAAAAACkkiwRwa2w/KSSLBHBrbD8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKSSLBHBrXD8pJIsEcGtcPwAAAAAAAAAA\"},\"shape\":[96],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1093\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1094\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1089\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1090\",\"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\":\"p1091\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1062\",\"attributes\":{\"tools\":[{\"id\":\"p1076\"},{\"id\":\"p1077\"},{\"id\":\"p1079\"},{\"id\":\"p1080\"},{\"id\":\"p1082\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1084\"},{\"id\":\"p1085\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1071\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1072\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1073\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1074\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1066\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1067\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1068\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1069\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1070\",\"attributes\":{\"axis\":{\"id\":\"p1066\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1075\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1071\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}}]}},{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1341\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1095\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1063\"},\"y_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1156\",\"attributes\":{\"start\":0.3239403,\"end\":13.4864247}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1106\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1107\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1102\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1134\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1047\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1048\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1049\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"int32\",\"order\":\"little\"}],[\"alpha\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"float64\",\"order\":\"little\"}],[\"sigma\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"float64\",\"order\":\"little\"}],[\"chain__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \"},\"shape\":[3999],\"dtype\":\"int32\",\"order\":\"little\"}],[\"draw__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"int32\",\"order\":\"little\"}],[\"diverging__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\"},\"shape\":[3999],\"dtype\":\"bool\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1135\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1136\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1131\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1132\",\"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\":\"p1133\",\"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\":\"p1143\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1050\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1051\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1052\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"0QEAAA==\"},\"shape\":[1],\"dtype\":\"int32\",\"order\":\"little\"}],[\"alpha\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"Cks8oGwKAUA=\"},\"shape\":[1],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"EXAIVWq2DUA=\"},\"shape\":[1],\"dtype\":\"float64\",\"order\":\"little\"}],[\"sigma\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"u7iNBvAWxj8=\"},\"shape\":[1],\"dtype\":\"float64\",\"order\":\"little\"}],[\"chain__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAA==\"},\"shape\":[1],\"dtype\":\"int32\",\"order\":\"little\"}],[\"draw__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"0QEAAA==\"},\"shape\":[1],\"dtype\":\"int32\",\"order\":\"little\"}],[\"diverging__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AQ==\"},\"shape\":[1],\"dtype\":\"bool\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1144\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1145\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1140\",\"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\":\"p1141\",\"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\":\"p1142\",\"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\":\"p1103\",\"attributes\":{\"tools\":[{\"id\":\"p1118\"},{\"id\":\"p1119\"},{\"id\":\"p1121\"},{\"id\":\"p1122\"},{\"id\":\"p1124\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1126\"},{\"id\":\"p1127\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1113\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1114\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1115\"},\"axis_label\":\"rho\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1116\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1108\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1109\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1110\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1111\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1112\",\"attributes\":{\"axis\":{\"id\":\"p1108\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1117\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1113\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1147\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1156\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1146\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1157\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1158\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1154\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1185\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1179\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1180\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1181\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[164],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAAAAADWaFz05DZ6P9ZoXPTkNno/Yy+iQ1Pamz9jL6JDU9qbP3n4LS5RHqY/efgtLlEepj/23HMjUECzP/bccyNQQLM//PXnksF9vT/89eeSwX29Pyj3imAJzsk/KPeKYAnOyT9cdRasnVXPP1x1FqydVc8/GFbF4M+I0j8YVsXgz4jSPxGrOZxiw9M/Eas5nGLD0z81tlCG05HcPzW2UIbTkdw/by+iQ1Pa2z9vL6JDU9rbP0KEFv/lFN0/QoQW/+UU3T+sNX+fr2neP6w1f5+vad4/cMstNXjg3D9wyy01eODcP+ET6DhS/Ng/4RPoOFL82D8YjTn20UTYPxiNOfbRRNg/WI7cwxmV1D9YjtzDGZXUP+T155LBfc0/5PXnksF9zT/9kXOE5oPOP/2Rc4Tmg84/+QTo5Qk9yz/5BOjlCT3LP8Hq0KhQr8Q/werQqFCvxD8F3XMjUEDDPwXdcyNQQMM/cGe5Jp3mvT9wZ7kmnea9P4TaLYjAn7o/hNotiMCfuj/F29BVCPC2P8Xb0FUI8LY//PXnksF9rT/89eeSwX2tP3GFucwtZak/cYW5zC1lqT+ahbnMLWWpP5qFucwtZak/J0z/G5wIqz8nTP8bnAirP88x6N7ieqQ/zzHo3uJ6pD9vL6JDU9qbP28vokNT2ps//PXnksF9nT/89eeSwX2dP8Xb0FUI8IY/xdvQVQjwhj8biP9nvQWSPxuI/2e9BZI/oNvQVQjwhj+g29BVCPCGP8Xb0FUI8JY/xdvQVQjwlj+oTkW3K6mDP6hORbcrqYM/tmhc9OQ2aj+2aFz05DZqP8Xb0FUI8IY/xdvQVQjwhj+oTkW3K6lzP6hORbcrqXM/4Ghc9OQ2aj/gaFz05DZqP+BoXPTkNno/4Ghc9OQ2ej+2aFz05DZ6P7ZoXPTkNno/4Ghc9OQ2Wj/gaFz05DZaP+BoXPTkNlo/4Ghc9OQ2Wj+2aFz05DZaP7ZoXPTkNlo/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC2aFz05DZaP7ZoXPTkNlo/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKaVz05DZaPwppXPTkNlo/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKaVz05DZaPwppXPTkNlo/tmhc9OQ2aj+2aFz05DZqPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAtmhc9OQ2Wj+2aFz05DZaPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC2aFz05DZaP7ZoXPTkNlo/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALZoXPTkNlo/tmhc9OQ2Wj8AAAAAAAAAAA==\"},\"shape\":[164],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1186\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1187\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1182\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1183\",\"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\":\"p1184\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1155\",\"attributes\":{\"tools\":[{\"id\":\"p1169\"},{\"id\":\"p1170\"},{\"id\":\"p1172\"},{\"id\":\"p1173\"},{\"id\":\"p1175\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1177\"},{\"id\":\"p1178\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1164\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1165\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1166\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1167\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1159\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1160\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1161\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1162\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1163\",\"attributes\":{\"axis\":{\"id\":\"p1159\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1168\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1164\"}}}],\"frame_width\":150,\"frame_height\":150}}]}},{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1342\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1188\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1063\"},\"y_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1300\",\"attributes\":{\"start\":0.025183755999999998,\"end\":0.548254044}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1199\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1200\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1195\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1227\",\"attributes\":{\"data_source\":{\"id\":\"p1047\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1228\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1229\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1224\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1225\",\"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\":\"p1226\",\"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\":\"p1236\",\"attributes\":{\"data_source\":{\"id\":\"p1050\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1237\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1238\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1233\",\"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\":\"p1234\",\"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\":\"p1235\",\"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\":\"p1196\",\"attributes\":{\"tools\":[{\"id\":\"p1211\"},{\"id\":\"p1212\"},{\"id\":\"p1214\"},{\"id\":\"p1215\"},{\"id\":\"p1217\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1219\"},{\"id\":\"p1220\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1206\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1207\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1208\"},\"axis_label\":\"sigma\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1209\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1201\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1202\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1203\"},\"axis_label\":\"alpha\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1204\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1205\",\"attributes\":{\"axis\":{\"id\":\"p1201\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1210\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1206\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1239\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1156\"},\"y_range\":{\"id\":\"p1300\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1250\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1251\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1246\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1278\",\"attributes\":{\"data_source\":{\"id\":\"p1047\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1279\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1280\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1275\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"sigma\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1276\",\"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\":\"p1277\",\"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\":\"p1287\",\"attributes\":{\"data_source\":{\"id\":\"p1050\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1288\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1289\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1284\",\"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\":\"p1285\",\"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\":\"p1286\",\"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\":\"p1247\",\"attributes\":{\"tools\":[{\"id\":\"p1262\"},{\"id\":\"p1263\"},{\"id\":\"p1265\"},{\"id\":\"p1266\"},{\"id\":\"p1268\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1270\"},{\"id\":\"p1271\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1257\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1258\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1259\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1260\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1252\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1253\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1254\"},\"axis_label\":\"rho\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1255\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1256\",\"attributes\":{\"axis\":{\"id\":\"p1252\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1261\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1257\"}}}],\"frame_width\":150,\"frame_height\":150}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1291\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1300\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1290\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1301\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1302\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1298\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1329\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1323\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1324\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1325\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[174],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[174],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1330\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1331\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1326\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1327\",\"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\":\"p1328\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1299\",\"attributes\":{\"tools\":[{\"id\":\"p1313\"},{\"id\":\"p1314\"},{\"id\":\"p1316\"},{\"id\":\"p1317\"},{\"id\":\"p1319\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1321\"},{\"id\":\"p1322\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1308\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1309\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1310\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1311\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1303\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1304\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1305\"},\"axis_label\":\"sigma\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1306\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1307\",\"attributes\":{\"axis\":{\"id\":\"p1303\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1312\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1308\"}}}],\"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\":\"dc7ac116-37bb-4c52-b8dc-cb5c94e6bbf2\",\"roots\":{\"p1344\":\"cb078688-ffc4-4bba-8be2-55988da7d0f8\"},\"root_ids\":[\"p1344\"]}];\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": "p1344"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bokeh.io.show(bebi103.viz.corner(samples, parameters=[\"alpha\", \"rho\", \"sigma\"]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we compare this corner plot to the one we acquired by sampling the posterior with the latent variables marginalized out (see [this portion of the lesson](mcmc_with_gps.ipynb)), they are the same, as we would expect.\n",
    "\n",
    "We can also plot the samples of $\\mathbf{f}_*$ as before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"bd3d2fb2-e8b8-4b4c-b89b-4d684c4f93b3\" data-root-id=\"p1365\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"13324a26-9da1-45fe-8114-8dc904f51d1d\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1365\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1366\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1367\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1374\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1375\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1372\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1399\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1393\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1394\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1395\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1400\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1401\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1396\",\"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\":\"p1397\",\"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\":\"p1398\",\"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\":\"p1408\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1402\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1403\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1404\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1409\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1410\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1405\",\"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\":\"p1406\",\"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\":\"p1407\",\"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\":\"p1417\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1411\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1412\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1413\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"GGFNHU91fEASyITg0I18QAwvvKNSpnxAud2lfuSrfEAGlvNm1L58QAD9KipW13xA+mNi7dfvfED0ypmwWQh9QO4x0XPbIH1ASMIwhR8vfUDomAg3XTl9QOL/P/reUX1A3GZ3vWBqfUDWza6A4oJ9QE+R06Bdj31A0DTmQ2SbfUDLmx0H5rN9QMUCVcpnzH1Av2mMjenkfUC50MNQa/19QLM3+xPtFX5ACsWq5wcufkCtnjLXbi5+QKcFaprwRn5AoWyhXXJffkCb09gg9Hd+QJU6EOR1kH5AgOi1s7SofkCPoUen96h+QIkIf2p5wX5Ag2+2LfvZfkB+1u3wfPJ+QHg9JbT+Cn9AcqRcd4Ajf0BsC5Q6Ajx/QGZyy/2DVH9AYNkCwQVtf0BaQDqEh4V/QFSncUcJnn9AUvlsXQeif0BODqkKi7Z/QEh14M0Mz39AQtwXkY7nf0CeoScqCACAQPUJEKjHCIBAG1XDC0kMgECYCF/tiRiAQBW8+s7KJIBAkm+WsAsxgEAPIzKSTD2AQIzWzXONSYBACYppVc5VgEDFiyABuFaAQIY9BTcPYoBABPGgGFBugEAqzccMyHeAQIGkPPqQeoBA/lfY29GGgEB7C3S9EpOAQA==\"},\"shape\":[59],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[59],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1418\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1419\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1414\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#8c2d04\",\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1415\",\"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\":\"p1416\",\"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\":\"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\":\"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\":\"p1427\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1428\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1423\",\"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\":\"p1424\",\"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\":\"p1425\",\"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\":\"p1373\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1386\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1387\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1388\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1389\",\"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\":\"p1390\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1391\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1392\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1381\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1382\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1383\"},\"axis_label\":\"y\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1384\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1376\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1377\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1378\"},\"axis_label\":\"x\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1379\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1380\",\"attributes\":{\"axis\":{\"id\":\"p1376\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1385\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1381\"}}}],\"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\":\"13324a26-9da1-45fe-8114-8dc904f51d1d\",\"roots\":{\"p1365\":\"bd3d2fb2-e8b8-4b4c-b89b-4d684c4f93b3\"},\"root_ids\":[\"p1365\"]}];\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": "p1365"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fstar_scaled = (\n",
    "    samples.posterior[\"f\"]\n",
    "    .stack({\"sample\": (\"chain\", \"draw\")})\n",
    "    .transpose(\"sample\", \"f_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": [
    "## Sampling with a Poisson likelihood\n",
    "\n",
    "In the previous example, we decided to do things the hard way by sampling out of a hierarchical posterior when we could have marginalized out the latent variables because of the convenient properties of a Normal likelihood. Now, we consider a contrived scenario where we really do need to sample the latent variables. While contrived, it could conceivably be encountered in a real analysis.\n",
    "\n",
    "Image we measure the copy number of a given mRNA transcript using, say single-molecule FISH, over the some time course. For each time point, we get transcript counts in 50 or so cells. We model the transcript counts as Poisson distributed (as we would for simple non-bursty gene expression). We suspect that the parameter $\\lambda$ of the Poisson distribution varies in time, and we want to get a plot of how we think it may vary. We therefore model $\\lambda$, or more specifically $\\ln \\lambda$ as varying according to a GP. Our generative model is\n",
    "\n",
    "\\begin{align}\n",
    "\\ln \\lambda(t) \\sim \\text{GP}(m, k_\\mathrm{SE}(t, t')),\\\\[1em]\n",
    "n_i(t) \\sim \\text{Poisson}(\\lambda(t)) \\;\\forall i.\n",
    "\\end{align}\n",
    "\n",
    "Note that because we are using count data, we cannot center and scale, so we choose a constant $m \\ne 0$ as our mean function in the GP.\n",
    "\n",
    "To demonstrate how to use this model, we will first generate synthetic data. We will use an underlying function of $\\lambda(t) = a_0 \\mathrm{e}^{a_1 \\sin(2 \\pi t)}$, with time varying from zero to one in arbitrary time units. We will choose $a_0 = 10$ and $a_1 = 0.3$, and will take measurements every 0.1 time units. We will get transcript counts from about 50 cells at each time point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/bois/miniconda3/envs/bebi103_build/lib/python3.11/site-packages/iqplot/cat.py:173: UserWarning: `jitter` is deprecated. Use spread='jitter'.\n",
      "  warnings.warn(\"`jitter` is deprecated. Use spread='jitter'.\")\n",
      "/Users/bois/miniconda3/envs/bebi103_build/lib/python3.11/site-packages/iqplot/cat.py:175: UserWarning: `jitter` is deprecated. Use spread='jitter'.\n",
      "  warnings.warn(\"`jitter` is deprecated. Use spread='jitter'.\")\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"a437139b-13e5-4ece-8e1e-fc75d16340f6\" data-root-id=\"p1438\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"c6d07097-5a77-4aa6-8b52-b33d364efeb0\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1438\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"FactorRange\",\"id\":\"p1437\",\"attributes\":{\"factors\":[\"0.0\",\"0.1\",\"0.2\",\"0.3\",\"0.4\",\"0.5\",\"0.6\",\"0.7\",\"0.8\",\"0.9\",\"1.0\"]}},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1440\"},\"x_scale\":{\"type\":\"object\",\"name\":\"CategoricalScale\",\"id\":\"p1447\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1448\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1445\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1476\",\"attributes\":{\"name\":\"hover_glyphs\",\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1467\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1468\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1469\"},\"data\":{\"type\":\"map\",\"entries\":[[\"count\",[8,5,16,18,14,10,9,9,7,12,11,8,12,10,12,10,10,12,5,11,11,6,8,13,11,9,12,6,16,9,7,6,17,7,9,9,8,7,7,7,7,11,8,8,12,8,9,6,9,14,7,5,6,15,12,12,14,20,14,10,8,14,14,2,13,12,8,10,10,14,12,9,12,10,9,10,10,15,18,11,11,16,10,7,9,10,10,7,13,7,9,11,18,12,7,8,9,6,11,12,7,11,13,7,8,14,10,16,15,12,13,14,16,17,11,10,6,12,10,11,9,13,10,15,16,8,18,14,16,10,15,14,10,13,14,14,11,16,11,9,13,12,14,8,13,7,13,13,9,14,14,13,22,15,14,21,13,13,11,19,14,12,13,12,19,13,16,11,9,10,16,11,15,12,14,17,15,15,14,17,12,12,20,10,18,21,15,15,20,15,10,11,10,9,15,10,10,19,21,15,17,13,12,10,15,15,6,13,10,19,11,15,15,13,13,4,17,16,15,7,10,10,8,9,13,18,21,14,14,10,11,13,14,9,13,10,9,10,12,13,18,15,17,11,18,10,7,13,9,16,12,13,12,18,9,12,11,8,15,27,9,9,9,12,8,15,11,11,11,12,16,4,10,10,9,8,11,14,6,14,12,7,9,7,8,11,10,14,11,13,6,12,9,13,11,12,8,8,18,10,9,9,7,9,11,8,9,6,10,8,7,11,10,10,8,10,7,15,13,13,15,11,17,7,7,11,9,5,8,9,4,5,5,9,9,11,8,12,4,6,9,3,6,12,9,6,7,7,11,13,15,10,9,8,6,10,7,5,7,6,11,8,10,9,4,7,4,14,17,9,11,9,5,6,9,10,6,4,7,7,6,4,6,6,5,8,9,11,8,6,7,12,11,12,9,11,4,6,7,7,9,9,10,12,4,6,9,13,13,4,6,9,6,4,8,15,6,7,7,7,3,8,11,17,7,8,7,10,8,10,5,8,8,8,5,11,10,6,4,6,4,7,9,8,13,13,6,8,7,6,7,14,8,7,8,10,9,7,7,6,10,9,5,3,9,5,10,12,7,5,6,9,7,9,10,11,7,9,5,8,6,7,8,7,5,4,8,8,7,3,7,11,8,6,9,8,4,6,8,11,4,8,12,15,17,3,11,7,8,13,10,10,9,10,5,13,8,6,10,9,5,9,8,7,8,7,7,7,6,6,7,10,8,13,16,6,12,10,17,8,7,17,10,9,4,11,9,4,8,12,10,14,14,16,12,14,11,14,13,9,9,7,11,10,11,10,6,11,10,8,14,15,6,3,7,11,12,9]],[\"t\",[\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\"]],[\"cat\",[\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\"]],[\"__label\",[\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.0\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.1\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.2\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.3\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.4\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.5\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.6\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.7\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.8\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"0.9\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\",\"1.0\"]]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1477\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1478\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1473\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"cat\",\"transform\":{\"type\":\"object\",\"name\":\"Jitter\",\"id\":\"p1466\",\"attributes\":{\"width\":0.1,\"distribution\":\"normal\",\"range\":{\"id\":\"p1437\"}}}},\"y\":{\"type\":\"field\",\"field\":\"count\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.3},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.3},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.3}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1474\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"cat\",\"transform\":{\"id\":\"p1466\"}},\"y\":{\"type\":\"field\",\"field\":\"count\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.1},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.1},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1475\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"cat\",\"transform\":{\"id\":\"p1466\"}},\"y\":{\"type\":\"field\",\"field\":\"count\"},\"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}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1446\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1459\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1460\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1461\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1462\",\"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\":\"p1463\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1464\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1465\"}]}},\"toolbar_location\":\"above\",\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1454\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1455\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1456\"},\"axis_label\":\"count\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1457\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"CategoricalAxis\",\"id\":\"p1449\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"CategoricalTicker\",\"id\":\"p1450\"},\"formatter\":{\"type\":\"object\",\"name\":\"CategoricalTickFormatter\",\"id\":\"p1451\"},\"axis_label\":\"time\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1452\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1453\",\"attributes\":{\"axis\":{\"id\":\"p1449\"},\"grid_line_color\":null}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1458\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1454\"}}}],\"frame_width\":600,\"frame_height\":275}}],\"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\":\"c6d07097-5a77-4aa6-8b52-b33d364efeb0\",\"roots\":{\"p1438\":\"a437139b-13e5-4ece-8e1e-fc75d16340f6\"},\"root_ids\":[\"p1438\"]}];\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": "p1438"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def varying_function(t, a0, a1):\n",
    "    \"\"\"Underlying function defining λ(t).\"\"\"\n",
    "    return a0 * np.exp(a1 * np.sin(2 * np.pi * t))\n",
    "\n",
    "\n",
    "rg = np.random.default_rng()\n",
    "\n",
    "# Set up time points and number of cells\n",
    "time_points = np.arange(0, 11) / 10\n",
    "n_cells = rg.normal(50, 5, size=len(time_points)).astype(int)\n",
    "\n",
    "# Time points of each measurement\n",
    "t = np.concatenate([[time_point] * n for n, time_point in zip(n_cells, time_points)])\n",
    "\n",
    "# Draw counts out of Poisson\n",
    "counts = np.concatenate(\n",
    "    [\n",
    "        rg.poisson(varying_function(time_point, 10, 0.3), size=n)\n",
    "        for n, time_point in zip(n_cells, time_points)\n",
    "    ]\n",
    ")\n",
    "\n",
    "# Plop everything into a data fram\n",
    "df = pd.DataFrame(data={\"t\": t, \"count\": counts})\n",
    "\n",
    "# Plot the data set\n",
    "bokeh.io.show(\n",
    "    iqplot.strip(\n",
    "        df,\n",
    "        q=\"count\",\n",
    "        cats=\"t\",\n",
    "        jitter=True,\n",
    "        q_axis=\"y\",\n",
    "        x_axis_label=\"time\",\n",
    "        marker_kwargs=dict(fill_color=\"black\", line_color=\"black\", alpha=0.3),\n",
    "        frame_width=600,\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can code om the model in Stan as follows.\n",
    "\n",
    "```stan\n",
    "data {\n",
    "  int<lower=1> N;\n",
    "  array[N] int y;\n",
    "  array[N] int t_inds;\n",
    "  int<lower=1> Nstar;\n",
    "  array[Nstar] real tstar;\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 m;\n",
    "\n",
    "  vector[Nstar] log_f_tilde;\n",
    "}\n",
    "\n",
    "\n",
    "transformed parameters {\n",
    "  vector[Nstar] log_f;\n",
    "  {\n",
    "    matrix[Nstar, Nstar] K = gp_exp_quad_cov(tstar, alpha, rho)\n",
    "                             + diag_matrix(rep_vector(delta, Nstar));\n",
    "    matrix[Nstar, Nstar] L = cholesky_decompose(K);\n",
    "\n",
    "    log_f = m + L * log_f_tilde;\n",
    "  }\n",
    "}\n",
    "\n",
    "\n",
    "model {\n",
    "  alpha ~ normal(0, 5.0);\n",
    "  rho ~ inv_gamma(0.1, 2.0);\n",
    "  m ~ normal(0.0, 5.0);\n",
    "\n",
    "  log_f_tilde ~ normal(0.0, 1.0);\n",
    "\n",
    "  y ~ poisson_log(log_f[t_inds]);\n",
    "}\n",
    "\n",
    "\n",
    "generated quantities {\n",
    "  array[N] int y_ppc;\n",
    "  y_ppc = poisson_log_rng(log_f[t_inds]);\n",
    "}\n",
    "```\n",
    "\n",
    "This proceeds very much like the previous example, except we use a Poisson likelihood and we have a parameter $m$ for the mean function in the GP. We again noncenter $f$. Note that we use Stan's `poisson_log` distribution, which is a Poisson distribution parametrized by the *logarithm* of the parameter.\n",
    "\n",
    "Let's start be setting up the data array, again using `bebi103.gp.append_sort_index()` to conveniently add the measured data points to `xstar` (called `tstar` here)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "tstar = np.linspace(0, 1, 50)\n",
    "tstar, t_inds = bebi103.gp.append_sort_index(tstar, t, index_origin=1) \n",
    "\n",
    "data = dict(N=len(counts), t_inds=t_inds, y=counts, Nstar=len(tstar), tstar=tstar)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we're ready to compile and sample!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8fa49fdf13104415a9571500b49d247e",
       "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": "eceda034a3ed4dea9c7136ace353054a",
       "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": "f0e537382cbc42ee9664f3c1b0af360f",
       "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": "cdf2d267edab47089a5442ae42176ad7",
       "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"
     ]
    }
   ],
   "source": [
    "with bebi103.stan.disable_logging():\n",
    "    sm = cmdstanpy.CmdStanModel(stan_file=\"gp_transcript_counts.stan\")\n",
    "    samples = sm.sample(data=data)\n",
    "\n",
    "samples = az.from_cmdstanpy(samples, posterior_predictive=\"y_ppc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll do our usual diagnostic checks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective sample size looks reasonable for all parameters.\n",
      "\n",
      "Rhat looks reasonable for all parameters.\n",
      "\n",
      "164 of 4000 (4.1%) iterations ended with a divergence.\n",
      "  Try running with larger adapt_delta to remove divergences.\n",
      "\n",
      "3566 of 4000 (89.15%) iterations saturated the maximum tree depth of 10.\n",
      "  Try running again with max_treedepth set to a larger value to avoid saturation.\n",
      "\n",
      "E-BFMI indicated no pathological behavior.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "12"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bebi103.stan.check_all_diagnostics(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Oof. Again, too many divergences. Let's try changing `adapt_delta` and allowing for bigger tree depth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ec6c941e4edd476f943c5e28a05f70ad",
       "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": "7fdcfba30c4f4e02bce055e6ff0b963f",
       "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": "e11dae9a3f09467582f4dc5777d1abaf",
       "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": "644fd9414c1941089ae0d05b3e2e757d",
       "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",
      "1 of 4000 (0.025%) iterations ended with a divergence.\n",
      "  Try running with larger adapt_delta to remove divergences.\n",
      "\n",
      "0 of 4000 (0.0%) iterations saturated the maximum tree depth of 15.\n",
      "\n",
      "E-BFMI indicated no pathological behavior.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with bebi103.stan.disable_logging():\n",
    "    samples = sm.sample(data=data, adapt_delta=0.99, max_treedepth=15)\n",
    "\n",
    "samples = az.from_cmdstanpy(samples, posterior_predictive=\"y_ppc\")\n",
    "\n",
    "bebi103.stan.check_all_diagnostics(samples, max_treedepth=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The diagnostics look a lot better. Let's take a quick look at a corner plot of the hyperparameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"e6aaf512-ccd8-4917-88e5-bd4f968c3be6\" data-root-id=\"p1776\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"466aca6d-3b9a-4cf5-be3a-b7c931472403\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1776\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1771\",\"attributes\":{\"styles\":{\"type\":\"map\",\"entries\":[[\"orientation\",\"horizontal\"]]},\"tools\":[{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1764\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1508\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1550\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1601\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1643\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1694\"},{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1745\"}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1765\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1509\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1510\",\"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\":\"p1551\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1552\",\"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\":\"p1602\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1603\",\"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\":\"p1644\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1645\",\"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\":\"p1695\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1696\",\"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\":\"p1746\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1747\",\"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\":\"p1766\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1511\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1553\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1604\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1646\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1697\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1748\",\"attributes\":{\"renderers\":\"auto\"}}]}},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1767\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"BoxSelectTool\",\"id\":\"p1512\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1513\",\"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\":\"p1554\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1555\",\"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\":\"p1605\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1606\",\"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\":\"p1647\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1648\",\"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\":\"p1698\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1699\",\"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\":\"p1749\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1750\",\"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\":\"p1768\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"LassoSelectTool\",\"id\":\"p1514\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1515\",\"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\":\"p1556\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1557\",\"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\":\"p1607\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1608\",\"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\":\"p1649\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1650\",\"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\":\"p1700\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1701\",\"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\":\"p1751\",\"attributes\":{\"renderers\":\"auto\",\"overlay\":{\"type\":\"object\",\"name\":\"PolyAnnotation\",\"id\":\"p1752\",\"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\":\"p1769\"},{\"type\":\"object\",\"name\":\"ToolProxy\",\"id\":\"p1770\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1517\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1559\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1610\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1652\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1703\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1754\"}]}}]}},{\"type\":\"object\",\"name\":\"Column\",\"id\":\"p1775\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1772\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1486\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1495\",\"attributes\":{\"start\":-0.09357310000000005,\"end\":14.7819681}},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1485\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1496\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1497\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1493\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1524\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1518\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1519\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1520\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"3V7SGK2jyD/dXtIYraPIP+fSF/fzj+A/59IX9/OP4D8WDvun/PbqPxYO+6f89uo/oyRvrAKv8j+jJG+sAq/yPzvC4ASH4vc/O8LgBIfi9z/TX1JdCxb9P9NfUl0LFv0/tf7h2sckAUC1/uHaxyQBQIHNGgeKvgNAgc0aB4q+A0BNnFMzTFgGQE2cUzNMWAZAGWuMXw7yCEAZa4xfDvIIQOU5xYvQiwtA5TnFi9CLC0CxCP63kiUOQLEI/reSJQ5AvmsbcqpfEEC+axtyql8QQCTTN4iLrBFAJNM3iIusEUCKOlSebPkSQIo6VJ5s+RJA8KFwtE1GFEDwoXC0TUYUQFYJjcoukxVAVgmNyi6TFUC8cKngD+AWQLxwqeAP4BZAItjF9vAsGEAi2MX28CwYQIg/4gzSeRlAiD/iDNJ5GUDupv4is8YaQO6m/iKzxhpAVA4bOZQTHEBUDhs5lBMcQLp1N091YB1AunU3T3VgHUAg3VNlVq0eQCDdU2VWrR5AhURwezf6H0CFRHB7N/ofQPVVxkiMoyBA9VXGSIyjIECoidTT/EkhQKiJ1NP8SSFAW73iXm3wIUBbveJebfAhQA7x8OndliJADvHw6d2WIkDBJP90Tj0jQMEk/3ROPSNAdFgNAL/jI0B0WA0Av+MjQCeMG4sviiRAJ4wbiy+KJEDavykWoDAlQNq/KRagMCVAjfM3oRDXJUCN8zehENclQEAnRiyBfSZAQCdGLIF9JkDzWlS38SMnQPNaVLfxIydApo5iQmLKJ0CmjmJCYsonQFnCcM3ScChAWcJwzdJwKEAM9n5YQxcpQAz2flhDFylAvymN47O9KUC/KY3js70pQHJdm24kZCpAcl2bbiRkKkAlkan5lAorQCWRqfmUCitA2MS3hAWxK0DYxLeEBbErQIv4xQ92VyxAi/jFD3ZXLEA9LNSa5v0sQD0s1Jrm/SxA\"},\"shape\":[90],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[90],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1525\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1526\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1521\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1522\",\"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\":\"p1523\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1494\",\"attributes\":{\"tools\":[{\"id\":\"p1508\"},{\"id\":\"p1509\"},{\"id\":\"p1511\"},{\"id\":\"p1512\"},{\"id\":\"p1514\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1516\"},{\"id\":\"p1517\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1503\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1504\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1505\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1506\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1498\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1499\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1500\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1501\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1502\",\"attributes\":{\"axis\":{\"id\":\"p1498\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1507\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1503\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}}]}},{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1773\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1527\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1495\"},\"y_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1588\",\"attributes\":{\"start\":0.18595598,\"end\":1.38627302}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1538\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1539\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1534\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1566\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1479\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1480\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1481\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAEAAAACAAAAAwAAAAQAAAAFAAAABgAAAAcAAAAIAAAACQAAAAoAAAALAAAADAAAAA0AAAAOAAAADwAAABAAAAARAAAAEgAAABMAAAAUAAAAFQAAABYAAAAXAAAAGAAAABkAAAAaAAAAGwAAABwAAAAdAAAAHgAAAB8AAAAgAAAAIQAAACIAAAAjAAAAJAAAACUAAAAmAAAAJwAAACgAAAApAAAAKgAAACsAAAAsAAAALQAAAC4AAAAvAAAAMAAAADEAAAAyAAAAMwAAADQAAAA1AAAANgAAADcAAAA4AAAAOQAAADoAAAA7AAAAPAAAAD0AAAA+AAAAPwAAAEAAAABBAAAAQgAAAEMAAABEAAAARQAAAEYAAABHAAAASAAAAEkAAABKAAAASwAAAEwAAABNAAAATgAAAE8AAABQAAAAUQAAAFIAAABTAAAAVAAAAFUAAABWAAAAVwAAAFgAAABZAAAAWgAAAFsAAABcAAAAXQAAAF4AAABfAAAAYAAAAGEAAABiAAAAYwAAAGQAAABlAAAAZgAAAGcAAABoAAAAaQAAAGoAAABrAAAAbAAAAG0AAABuAAAAbwAAAHAAAABxAAAAcgAAAHMAAAB0AAAAdQAAAHYAAAB3AAAAeAAAAHkAAAB6AAAAewAAAHwAAAB9AAAAfgAAAH8AAACAAAAAgQAAAIIAAACDAAAAhAAAAIUAAACGAAAAhwAAAIgAAACJAAAAigAAAIsAAACMAAAAjQAAAI4AAACPAAAAkAAAAJEAAACSAAAAkwAAAJQAAACVAAAAlgAAAJcAAACYAAAAmQAAAJoAAACbAAAAnAAAAJ0AAACeAAAAnwAAAKAAAAChAAAAogAAAKMAAACkAAAApQAAAKYAAACnAAAAqAAAAKkAAACqAAAAqwAAAKwAAACtAAAArgAAAK8AAACwAAAAsQAAALIAAACzAAAAtAAAALUAAAC2AAAAtwAAALgAAAC5AAAAugAAALsAAAC8AAAAvQAAAL4AAAC/AAAAwAAAAMEAAADCAAAAwwAAAMQAAADFAAAAxgAAAMcAAADIAAAAyQAAAMoAAADLAAAAzAAAAM0AAADOAAAAzwAAANAAAADRAAAA0gAAANMAAADUAAAA1QAAANYAAADXAAAA2AAAANkAAADaAAAA2wAAANwAAADdAAAA3gAAAN8AAADgAAAA4QAAAOIAAADjAAAA5AAAAOUAAADmAAAA5wAAAOgAAADpAAAA6gAAAOsAAADsAAAA7QAAAO4AAADvAAAA8AAAAPEAAADyAAAA8wAAAPQAAAD1AAAA9gAAAPcAAAD4AAAA+QAAAPoAAAD7AAAA/AAAAP0AAAD+AAAA/wAAAAABAAABAQAAAgEAAAMBAAAEAQAABQEAAAYBAAAHAQAACAEAAAkBAAAKAQAACwEAAAwBAAANAQAADgEAAA8BAAAQAQAAEQEAABIBAAATAQAAFAEAABUBAAAWAQAAFwEAABgBAAAZAQAAGgEAABsBAAAcAQAAHQEAAB4BAAAfAQAAIAEAACEBAAAiAQAAIwEAACQBAAAlAQAAJgEAACcBAAAoAQAAKQEAACoBAAArAQAALAEAAC0BAAAuAQAALwEAADABAAAxAQAAMgEAADMBAAA0AQAANQEAADYBAAA3AQAAOAEAADkBAAA6AQAAOwEAADwBAAA9AQAAPgEAAD8BAABAAQAAQQEAAEIBAABDAQAARAEAAEUBAABGAQAARwEAAEgBAABJAQAASgEAAEsBAABMAQAATQEAAE4BAABPAQAAUAEAAFEBAABSAQAAUwEAAFQBAABVAQAAVgEAAFcBAABYAQAAWQEAAFoBAABbAQAAXAEAAF0BAABeAQAAXwEAAGABAABhAQAAYgEAAGMBAABkAQAAZQEAAGYBAABnAQAAaAEAAGkBAABqAQAAawEAAGwBAABtAQAAbgEAAG8BAABwAQAAcQEAAHIBAABzAQAAdAEAAHUBAAB2AQAAdwEAAHgBAAB5AQAAegEAAHsBAAB8AQAAfQEAAH4BAAB/AQAAgAEAAIEBAACCAQAAgwEAAIQBAACFAQAAhgEAAIcBAACIAQAAiQEAAIoBAACLAQAAjAEAAI0BAACOAQAAjwEAAJABAACRAQAAkgEAAJMBAACUAQAAlQEAAJYBAACXAQAAmAEAAJkBAACaAQAAmwEAAJwBAACdAQAAngEAAJ8BAACgAQAAoQEAAKIBAACjAQAApAEAAKUBAACmAQAApwEAAKgBAACpAQAAqgEAAKsBAACsAQAArQEAAK4BAACvAQAAsAEAALEBAACyAQAAswEAALQBAAC1AQAAtgEAALcBAAC4AQAAuQEAALoBAAC7AQAAvAEAAL0BAAC+AQAAvwEAAMABAADBAQAAwgEAAMMBAADEAQAAxQEAAMYBAADHAQAAyAEAAMkBAADKAQAAywEAAMwBAADNAQAAzgEAAM8BAADQAQAA0QEAANIBAADTAQAA1AEAANUBAADWAQAA1wEAANgBAADZAQAA2gEAANsBAADcAQAA3QEAAN4BAADfAQAA4AEAAOEBAADiAQAA4wEAAOQBAADlAQAA5gEAAOcBAADoAQAA6QEAAOoBAADrAQAA7AEAAO0BAADuAQAA7wEAAPABAADxAQAA8gEAAPMBAAD0AQAA9QEAAPYBAAD3AQAA+AEAAPkBAAD6AQAA+wEAAPwBAAD9AQAA/gEAAP8BAAAAAgAAAQIAAAICAAADAgAABAIAAAUCAAAGAgAABwIAAAgCAAAJAgAACgIAAAsCAAAMAgAADQIAAA4CAAAPAgAAEAIAABECAAASAgAAEwIAABQCAAAVAgAAFgIAABcCAAAYAgAAGQIAABoCAAAbAgAAHAIAAB0CAAAeAgAAHwIAACACAAAhAgAAIgIAACMCAAAkAgAAJQIAACYCAAAnAgAAKAIAACkCAAAqAgAAKwIAACwCAAAtAgAALgIAAC8CAAAwAgAAMQIAADICAAAzAgAANAIAADUCAAA2AgAANwIAADgCAAA5AgAAOgIAADsCAAA8AgAAPQIAAD4CAAA/AgAAQAIAAEECAABCAgAAQwIAAEQCAABFAgAARgIAAEcCAABIAgAASQIAAEoCAABLAgAATAIAAE0CAABOAgAATwIAAFACAABRAgAAUgIAAFMCAABUAgAAVQIAAFYCAABXAgAAWAIAAFkCAABaAgAAWwIAAFwCAABdAgAAXgIAAF8CAABgAgAAYQIAAGICAABjAgAAZAIAAGUCAABmAgAAZwIAAGgCAABpAgAAagIAAGsCAABsAgAAbQIAAG4CAABvAgAAcAIAAHECAAByAgAAcwIAAHQCAAB1AgAAdgIAAHcCAAB4AgAAeQIAAHoCAAB7AgAAfAIAAH0CAAB+AgAAfwIAAIACAACBAgAAggIAAIMCAACEAgAAhQIAAIYCAACHAgAAiAIAAIkCAACKAgAAiwIAAIwCAACNAgAAjgIAAI8CAACQAgAAkQIAAJICAACTAgAAlAIAAJUCAACWAgAAlwIAAJgCAACZAgAAmgIAAJsCAACcAgAAnQIAAJ4CAACfAgAAoAIAAKECAACiAgAAowIAAKQCAAClAgAApgIAAKcCAACoAgAAqQIAAKoCAACrAgAArAIAAK0CAACuAgAArwIAALACAACxAgAAsgIAALMCAAC0AgAAtQIAALYCAAC3AgAAuAIAALkCAAC6AgAAuwIAALwCAAC9AgAAvgIAAL8CAADAAgAAwQIAAMICAADDAgAAxAIAAMUCAADGAgAAxwIAAMgCAADJAgAAygIAAMsCAADMAgAAzQIAAM4CAADPAgAA0AIAANECAADSAgAA0wIAANQCAADVAgAA1gIAANcCAADYAgAA2QIAANoCAADbAgAA3AIAAN0CAADeAgAA3wIAAOACAADhAgAA4gIAAOMCAADkAgAA5QIAAOYCAADnAgAA6AIAAOkCAADqAgAA6wIAAOwCAADtAgAA7gIAAO8CAADwAgAA8QIAAPICAADzAgAA9AIAAPUCAAD2AgAA9wIAAPgCAAD5AgAA+gIAAPsCAAD8AgAA/QIAAP4CAAD/AgAAAAMAAAEDAAACAwAAAwMAAAQDAAAFAwAABgMAAAcDAAAIAwAACQMAAAoDAAALAwAADAMAAA0DAAAOAwAADwMAABADAAARAwAAEgMAABMDAAAUAwAAFQMAABYDAAAXAwAAGAMAABkDAAAaAwAAGwMAABwDAAAdAwAAHgMAAB8DAAAgAwAAIQMAACIDAAAjAwAAJAMAACUDAAAmAwAAJwMAACgDAAApAwAAKgMAACsDAAAsAwAALQMAAC4DAAAvAwAAMAMAADEDAAAyAwAAMwMAADQDAAA1AwAANgMAADcDAAA4AwAAOQMAADoDAAA7AwAAPAMAAD0DAAA+AwAAPwMAAEADAABBAwAAQgMAAEMDAABEAwAARQMAAEYDAABHAwAASAMAAEkDAABKAwAASwMAAEwDAABNAwAATgMAAE8DAABQAwAAUQMAAFIDAABTAwAAVAMAAFUDAABWAwAAVwMAAFgDAABZAwAAWgMAAFsDAABcAwAAXQMAAF4DAABfAwAAYAMAAGEDAABiAwAAYwMAAGQDAABlAwAAZgMAAGcDAABoAwAAaQMAAGoDAABrAwAAbAMAAG0DAABuAwAAbwMAAHADAABxAwAAcgMAAHMDAAB0AwAAdQMAAHYDAAB3AwAAeAMAAHkDAAB6AwAAewMAAHwDAAB9AwAAfgMAAH8DAACAAwAAgQMAAIIDAACDAwAAhAMAAIUDAACGAwAAhwMAAIgDAACJAwAAigMAAIsDAACMAwAAjQMAAI4DAACPAwAAkAMAAJEDAACSAwAAkwMAAJQDAACVAwAAlgMAAJcDAACYAwAAmQMAAJoDAACbAwAAnAMAAJ0DAACeAwAAnwMAAKADAAChAwAAogMAAKMDAACkAwAApQMAAKYDAACnAwAAqAMAAKkDAACqAwAAqwMAAKwDAACtAwAArgMAAK8DAACwAwAAsQMAALIDAACzAwAAtAMAALUDAAC2AwAAtwMAALgDAAC5AwAAugMAALsDAAC8AwAAvQMAAL4DAAC/AwAAwAMAAMEDAADCAwAAwwMAAMQDAADFAwAAxgMAAMcDAADIAwAAyQMAAMoDAADLAwAAzAMAAM0DAADOAwAAzwMAANADAADRAwAA0gMAANMDAADUAwAA1QMAANYDAADXAwAA2AMAANkDAADaAwAA2wMAANwDAADdAwAA3gMAAN8DAADgAwAA4QMAAOIDAADjAwAA5AMAAOUDAADmAwAA5wMAAOgDAADpAwAA6gMAAOsDAADsAwAA7QMAAO4DAADvAwAA8AMAAPEDAADyAwAA8wMAAPQDAAD1AwAA9gMAAPcDAAD4AwAA+QMAAPoDAAD7AwAA/AMAAP0DAAD+AwAA/wMAAAAEAAABBAAAAgQAAAMEAAAEBAAABQQAAAYEAAAHBAAACAQAAAkEAAAKBAAACwQAAAwEAAANBAAADgQAAA8EAAAQBAAAEQQAABIEAAATBAAAFAQAABUEAAAWBAAAFwQAABgEAAAZBAAAGgQAABsEAAAcBAAAHQQAAB4EAAAfBAAAIAQAACEEAAAiBAAAIwQAACQEAAAlBAAAJgQAACcEAAAoBAAAKQQAACoEAAArBAAALAQAAC0EAAAuBAAALwQAADAEAAAxBAAAMgQAADMEAAA0BAAANQQAADYEAAA3BAAAOAQAADkEAAA6BAAAOwQAADwEAAA9BAAAPgQAAD8EAABABAAAQQQAAEIEAABDBAAARAQAAEUEAABGBAAARwQAAEgEAABJBAAASgQAAEsEAABMBAAATQQAAE4EAABPBAAAUAQAAFEEAABSBAAAUwQAAFQEAABVBAAAVgQAAFcEAABYBAAAWQQAAFoEAABbBAAAXAQAAF0EAABeBAAAXwQAAGAEAABhBAAAYgQAAGMEAABkBAAAZQQAAGYEAABnBAAAaAQAAGkEAABqBAAAawQAAGwEAABtBAAAbgQAAG8EAABwBAAAcQQAAHIEAABzBAAAdAQAAHUEAAB2BAAAdwQAAHgEAAB5BAAAegQAAHsEAAB8BAAAfQQAAH4EAAB/BAAAgAQAAIEEAACCBAAAgwQAAIQEAACFBAAAhgQAAIcEAACIBAAAiQQAAIoEAACLBAAAjAQAAI0EAACOBAAAjwQAAJAEAACRBAAAkgQAAJMEAACUBAAAlQQAAJYEAACXBAAAmAQAAJkEAACaBAAAmwQAAJwEAACdBAAAngQAAJ8EAACgBAAAoQQAAKIEAACjBAAApAQAAKUEAACmBAAApwQAAKgEAACpBAAAqgQAAKsEAACsBAAArQQAAK4EAACvBAAAsAQAALEEAACyBAAAswQAALQEAAC1BAAAtgQAALcEAAC4BAAAuQQAALoEAAC7BAAAvAQAAL0EAAC+BAAAvwQAAMAEAADBBAAAwgQAAMMEAADEBAAAxQQAAMYEAADHBAAAyAQAAMkEAADKBAAAywQAAMwEAADNBAAAzgQAAM8EAADQBAAA0QQAANIEAADTBAAA1AQAANUEAADWBAAA1wQAANgEAADZBAAA2gQAANsEAADcBAAA3QQAAN4EAADfBAAA4AQAAOEEAADiBAAA4wQAAOQEAADlBAAA5gQAAOcEAADoBAAA6QQAAOoEAADrBAAA7AQAAO0EAADuBAAA7wQAAPAEAADxBAAA8gQAAPMEAAD0BAAA9QQAAPYEAAD3BAAA+AQAAPkEAAD6BAAA+wQAAPwEAAD9BAAA/gQAAP8EAAAABQAAAQUAAAIFAAADBQAABAUAAAUFAAAGBQAABwUAAAgFAAAJBQAACgUAAAsFAAAMBQAADQUAAA4FAAAPBQAAEAUAABEFAAASBQAAEwUAABQFAAAVBQAAFgUAABcFAAAYBQAAGQUAABoFAAAbBQAAHAUAAB0FAAAeBQAAHwUAACAFAAAhBQAAIgUAACMFAAAkBQAAJQUAACYFAAAnBQAAKAUAACkFAAAqBQAAKwUAACwFAAAtBQAALgUAAC8FAAAwBQAAMQUAADIFAAAzBQAANAUAADUFAAA2BQAANwUAADgFAAA5BQAAOgUAADsFAAA8BQAAPQUAAD4FAAA/BQAAQAUAAEEFAABCBQAAQwUAAEQFAABFBQAARgUAAEcFAABIBQAASQUAAEoFAABLBQAATAUAAE0FAABOBQAATwUAAFAFAABRBQAAUgUAAFMFAABUBQAAVQUAAFYFAABXBQAAWAUAAFkFAABaBQAAWwUAAFwFAABdBQAAXgUAAF8FAABgBQAAYQUAAGIFAABjBQAAZAUAAGUFAABmBQAAZwUAAGgFAABpBQAAagUAAGsFAABsBQAAbQUAAG4FAABvBQAAcAUAAHEFAAByBQAAcwUAAHQFAAB1BQAAdgUAAHcFAAB4BQAAeQUAAHoFAAB7BQAAfAUAAH0FAAB+BQAAfwUAAIAFAACBBQAAggUAAIMFAACEBQAAhQUAAIYFAACHBQAAiAUAAIkFAACKBQAAiwUAAIwFAACNBQAAjgUAAI8FAACQBQAAkQUAAJIFAACTBQAAlAUAAJUFAACWBQAAlwUAAJgFAACZBQAAmgUAAJsFAACcBQAAnQUAAJ4FAACfBQAAoAUAAKEFAACiBQAAowUAAKQFAAClBQAApgUAAKcFAACoBQAAqQUAAKoFAACrBQAArAUAAK0FAACuBQAArwUAALAFAACxBQAAsgUAALMFAAC0BQAAtQUAALYFAAC3BQAAuAUAALkFAAC6BQAAuwUAALwFAAC9BQAAvgUAAL8FAADABQAAwQUAAMIFAADDBQAAxAUAAMUFAADGBQAAxwUAAMgFAADJBQAAygUAAMsFAADMBQAAzQUAAM4FAADPBQAA0AUAANEFAADSBQAA0wUAANQFAADVBQAA1gUAANcFAADYBQAA2QUAANoFAADbBQAA3AUAAN0FAADeBQAA3wUAAOAFAADhBQAA4gUAAOMFAADkBQAA5QUAAOYFAADnBQAA6AUAAOkFAADqBQAA6wUAAOwFAADtBQAA7gUAAO8FAADwBQAA8QUAAPIFAADzBQAA9AUAAPUFAAD2BQAA9wUAAPgFAAD5BQAA+gUAAPsFAAD8BQAA/QUAAP4FAAD/BQAAAAYAAAEGAAACBgAAAwYAAAQGAAAFBgAABgYAAAcGAAAIBgAACQYAAAoGAAALBgAADAYAAA0GAAAOBgAADwYAABAGAAARBgAAEgYAABMGAAAUBgAAFQYAABYGAAAXBgAAGAYAABkGAAAaBgAAGwYAABwGAAAdBgAAHgYAAB8GAAAgBgAAIQYAACIGAAAjBgAAJAYAACUGAAAmBgAAJwYAACgGAAApBgAAKgYAACsGAAAsBgAALQYAAC4GAAAvBgAAMAYAADEGAAAyBgAAMwYAADQGAAA1BgAANgYAADcGAAA4BgAAOQYAADoGAAA7BgAAPAYAAD0GAAA+BgAAPwYAAEAGAABBBgAAQgYAAEMGAABEBgAARQYAAEYGAABHBgAASAYAAEkGAABKBgAASwYAAEwGAABNBgAATgYAAE8GAABQBgAAUQYAAFIGAABTBgAAVAYAAFUGAABWBgAAVwYAAFgGAABZBgAAWgYAAFsGAABcBgAAXQYAAF4GAABfBgAAYAYAAGEGAABiBgAAYwYAAGQGAABlBgAAZgYAAGcGAABoBgAAaQYAAGoGAABrBgAAbAYAAG0GAABuBgAAbwYAAHAGAABxBgAAcgYAAHMGAAB0BgAAdQYAAHYGAAB3BgAAeAYAAHkGAAB6BgAAewYAAHwGAAB9BgAAfgYAAH8GAACABgAAgQYAAIIGAACDBgAAhAYAAIUGAACGBgAAhwYAAIgGAACJBgAAigYAAIsGAACMBgAAjQYAAI4GAACPBgAAkAYAAJEGAACSBgAAkwYAAJQGAACVBgAAlgYAAJcGAACYBgAAmQYAAJoGAACbBgAAnAYAAJ0GAACeBgAAnwYAAKAGAAChBgAAogYAAKMGAACkBgAApQYAAKYGAACnBgAAqAYAAKkGAACqBgAAqwYAAKwGAACtBgAArgYAAK8GAACwBgAAsQYAALIGAACzBgAAtAYAALUGAAC2BgAAtwYAALgGAAC5BgAAugYAALsGAAC8BgAAvQYAAL4GAAC/BgAAwAYAAMEGAADCBgAAwwYAAMQGAADFBgAAxgYAAMcGAADIBgAAyQYAAMoGAADLBgAAzAYAAM0GAADOBgAAzwYAANAGAADRBgAA0gYAANMGAADUBgAA1QYAANYGAADXBgAA2AYAANkGAADaBgAA2wYAANwGAADdBgAA3gYAAN8GAADgBgAA4QYAAOIGAADjBgAA5AYAAOUGAADmBgAA5wYAAOgGAADpBgAA6gYAAOsGAADsBgAA7QYAAO4GAADvBgAA8AYAAPEGAADyBgAA8wYAAPQGAAD1BgAA9gYAAPcGAAD4BgAA+QYAAPoGAAD7BgAA/AYAAP0GAAD+BgAA/wYAAAAHAAABBwAAAgcAAAMHAAAEBwAABQcAAAYHAAAHBwAACAcAAAkHAAAKBwAACwcAAAwHAAANBwAADgcAAA8HAAAQBwAAEQcAABIHAAATBwAAFAcAABUHAAAWBwAAFwcAABgHAAAZBwAAGgcAABsHAAAcBwAAHQcAAB4HAAAfBwAAIAcAACEHAAAiBwAAIwcAACQHAAAlBwAAJgcAACcHAAAoBwAAKQcAACoHAAArBwAALAcAAC0HAAAuBwAALwcAADAHAAAxBwAAMgcAADMHAAA0BwAANQcAADYHAAA3BwAAOAcAADkHAAA6BwAAOwcAADwHAAA9BwAAPgcAAD8HAABABwAAQQcAAEIHAABDBwAARAcAAEUHAABGBwAARwcAAEgHAABJBwAASgcAAEsHAABMBwAATQcAAE4HAABPBwAAUAcAAFEHAABSBwAAUwcAAFQHAABVBwAAVgcAAFcHAABYBwAAWQcAAFoHAABbBwAAXAcAAF0HAABeBwAAXwcAAGAHAABhBwAAYgcAAGMHAABkBwAAZQcAAGYHAABnBwAAaAcAAGkHAABqBwAAawcAAGwHAABtBwAAbgcAAG8HAABwBwAAcQcAAHIHAABzBwAAdAcAAHUHAAB2BwAAdwcAAHgHAAB5BwAAegcAAHsHAAB8BwAAfQcAAH4HAAB/BwAAgAcAAIEHAACCBwAAgwcAAIQHAACFBwAAhgcAAIcHAACIBwAAiQcAAIoHAACLBwAAjAcAAI0HAACOBwAAjwcAAJAHAACRBwAAkgcAAJMHAACUBwAAlQcAAJYHAACXBwAAmAcAAJkHAACaBwAAmwcAAJwHAACdBwAAngcAAJ8HAACgBwAAoQcAAKIHAACjBwAApAcAAKUHAACmBwAApwcAAKgHAACpBwAAqgcAAKsHAACsBwAArQcAAK4HAACvBwAAsAcAALEHAACyBwAAswcAALQHAAC1BwAAtgcAALcHAAC4BwAAuQcAALoHAAC7BwAAvAcAAL0HAAC+BwAAvwcAAMAHAADBBwAAwgcAAMMHAADEBwAAxQcAAMYHAADHBwAAyAcAAMkHAADKBwAAywcAAMwHAADNBwAAzgcAAM8HAADQBwAA0QcAANIHAADTBwAA1AcAANUHAADWBwAA1wcAANgHAADZBwAA2gcAANsHAADcBwAA3QcAAN4HAADfBwAA4AcAAOEHAADiBwAA4wcAAOQHAADlBwAA5gcAAOcHAADoBwAA6QcAAOoHAADrBwAA7AcAAO0HAADuBwAA7wcAAPAHAADxBwAA8gcAAPMHAAD0BwAA9QcAAPYHAAD3BwAA+AcAAPkHAAD6BwAA+wcAAPwHAAD9BwAA/gcAAP8HAAAACAAAAQgAAAIIAAADCAAABAgAAAUIAAAGCAAABwgAAAgIAAAJCAAACggAAAsIAAAMCAAADQgAAA4IAAAPCAAAEAgAABEIAAASCAAAEwgAABQIAAAVCAAAFggAABcIAAAYCAAAGQgAABoIAAAbCAAAHAgAAB0IAAAeCAAAHwgAACAIAAAhCAAAIggAACMIAAAkCAAAJQgAACYIAAAnCAAAKAgAACkIAAAqCAAAKwgAACwIAAAtCAAALggAAC8IAAAwCAAAMQgAADIIAAAzCAAANAgAADUIAAA2CAAANwgAADgIAAA5CAAAOggAADsIAAA8CAAAPQgAAD4IAAA/CAAAQAgAAEEIAABCCAAAQwgAAEQIAABFCAAARggAAEcIAABICAAASQgAAEoIAABLCAAATAgAAE0IAABOCAAATwgAAFAIAABRCAAAUggAAFMIAABUCAAAVQgAAFYIAABXCAAAWAgAAFkIAABaCAAAWwgAAFwIAABdCAAAXggAAF8IAABgCAAAYQgAAGIIAABjCAAAZAgAAGUIAABmCAAAZwgAAGgIAABpCAAAaggAAGsIAABsCAAAbQgAAG4IAABvCAAAcAgAAHEIAAByCAAAcwgAAHQIAAB1CAAAdggAAHcIAAB4CAAAeQgAAHoIAAB7CAAAfAgAAH0IAAB+CAAAfwgAAIAIAACBCAAAgggAAIMIAACECAAAhQgAAIYIAACHCAAAiAgAAIkIAACKCAAAiwgAAIwIAACNCAAAjggAAI8IAACQCAAAkQgAAJIIAACTCAAAlAgAAJUIAACWCAAAlwgAAJgIAACZCAAAmggAAJsIAACcCAAAnQgAAJ4IAACfCAAAoAgAAKEIAACiCAAAowgAAKQIAAClCAAApggAAKcIAACoCAAAqQgAAKoIAACrCAAArAgAAK0IAACuCAAArwgAALAIAACxCAAAsggAALMIAAC0CAAAtQgAALYIAAC3CAAAuAgAALkIAAC6CAAAuwgAALwIAAC9CAAAvggAAL8IAADACAAAwQgAAMIIAADDCAAAxAgAAMUIAADGCAAAxwgAAMgIAADJCAAAyggAAMsIAADMCAAAzQgAAM4IAADPCAAA0AgAANEIAADSCAAA0wgAANQIAADVCAAA1ggAANcIAADYCAAA2QgAANoIAADbCAAA3AgAAN0IAADeCAAA3wgAAOAIAADhCAAA4ggAAOMIAADkCAAA5QgAAOYIAADnCAAA6AgAAOkIAADqCAAA6wgAAOwIAADtCAAA7ggAAO8IAADwCAAA8QgAAPIIAADzCAAA9AgAAPUIAAD2CAAA9wgAAPgIAAD5CAAA+ggAAPsIAAD8CAAA/QgAAP4IAAD/CAAAAAkAAAEJAAACCQAAAwkAAAQJAAAFCQAABgkAAAcJAAAICQAACQkAAAoJAAALCQAADAkAAA0JAAAOCQAADwkAABAJAAARCQAAEgkAABMJAAAUCQAAFQkAABYJAAAXCQAAGAkAABkJAAAaCQAAGwkAABwJAAAdCQAAHgkAAB8JAAAgCQAAIQkAACIJAAAjCQAAJAkAACUJAAAmCQAAJwkAACgJAAApCQAAKgkAACsJAAAsCQAALQkAAC4JAAAvCQAAMAkAADEJAAAyCQAAMwkAADQJAAA1CQAANgkAADcJAAA4CQAAOQkAADoJAAA7CQAAPAkAAD0JAAA+CQAAPwkAAEAJAABBCQAAQgkAAEMJAABECQAARQkAAEYJAABHCQAASAkAAEkJAABKCQAASwkAAEwJAABNCQAATgkAAE8JAABQCQAAUQkAAFIJAABTCQAAVAkAAFUJAABWCQAAVwkAAFgJAABZCQAAWgkAAFsJAABcCQAAXQkAAF4JAABfCQAAYAkAAGEJAABiCQAAYwkAAGQJAABlCQAAZgkAAGcJAABoCQAAaQkAAGoJAABrCQAAbAkAAG0JAABuCQAAbwkAAHAJAABxCQAAcgkAAHMJAAB0CQAAdQkAAHYJAAB3CQAAeAkAAHkJAAB6CQAAewkAAHwJAAB9CQAAfgkAAH8JAACACQAAgQkAAIIJAACDCQAAhAkAAIUJAACGCQAAhwkAAIgJAACJCQAAigkAAIsJAACMCQAAjQkAAI4JAACPCQAAkAkAAJEJAACSCQAAkwkAAJQJAACVCQAAlgkAAJcJAACYCQAAmQkAAJoJAACbCQAAnAkAAJ0JAACeCQAAnwkAAKAJAAChCQAAogkAAKMJAACkCQAApQkAAKYJAACnCQAAqAkAAKkJAACqCQAAqwkAAKwJAACtCQAArgkAAK8JAACwCQAAsQkAALIJAACzCQAAtAkAALUJAAC2CQAAtwkAALgJAAC5CQAAugkAALsJAAC8CQAAvQkAAL4JAAC/CQAAwAkAAMEJAADCCQAAwwkAAMQJAADFCQAAxgkAAMcJAADICQAAyQkAAMoJAADLCQAAzAkAAM0JAADOCQAAzwkAANAJAADRCQAA0gkAANMJAADUCQAA1QkAANYJAADXCQAA2AkAANkJAADaCQAA2wkAANwJAADdCQAA3gkAAN8JAADgCQAA4QkAAOIJAADjCQAA5AkAAOUJAADmCQAA5wkAAOgJAADpCQAA6gkAAOsJAADsCQAA7QkAAO4JAADvCQAA8AkAAPEJAADyCQAA8wkAAPQJAAD1CQAA9gkAAPcJAAD4CQAA+QkAAPoJAAD7CQAA/AkAAP0JAAD+CQAA/wkAAAAKAAABCgAAAgoAAAMKAAAECgAABQoAAAYKAAAHCgAACAoAAAkKAAAKCgAACwoAAAwKAAANCgAADgoAAA8KAAAQCgAAEQoAABIKAAATCgAAFAoAABUKAAAWCgAAFwoAABgKAAAZCgAAGgoAABsKAAAcCgAAHQoAAB4KAAAfCgAAIAoAACEKAAAiCgAAIwoAACQKAAAlCgAAJgoAACcKAAAoCgAAKQoAACoKAAArCgAALAoAAC0KAAAuCgAALwoAADAKAAAxCgAAMgoAADMKAAA0CgAANQoAADYKAAA3CgAAOAoAADkKAAA6CgAAOwoAADwKAAA9CgAAPgoAAD8KAABACgAAQQoAAEIKAABDCgAARAoAAEUKAABGCgAARwoAAEgKAABJCgAASgoAAEsKAABMCgAATQoAAE4KAABPCgAAUAoAAFEKAABSCgAAUwoAAFQKAABVCgAAVgoAAFcKAABYCgAAWQoAAFoKAABbCgAAXAoAAF0KAABeCgAAXwoAAGAKAABhCgAAYgoAAGMKAABkCgAAZQoAAGYKAABnCgAAaAoAAGkKAABqCgAAawoAAGwKAABtCgAAbgoAAG8KAABwCgAAcQoAAHIKAABzCgAAdAoAAHUKAAB2CgAAdwoAAHgKAAB5CgAAegoAAHsKAAB8CgAAfQoAAH4KAAB/CgAAgAoAAIEKAACCCgAAgwoAAIQKAACFCgAAhgoAAIcKAACICgAAiQoAAIoKAACLCgAAjAoAAI0KAACOCgAAjwoAAJAKAACRCgAAkgoAAJMKAACUCgAAlQoAAJYKAACXCgAAmAoAAJkKAACaCgAAmwoAAJwKAACdCgAAngoAAJ8KAACgCgAAoQoAAKIKAACjCgAApAoAAKUKAACmCgAApwoAAKkKAACqCgAAqwoAAKwKAACtCgAArgoAAK8KAACwCgAAsQoAALIKAACzCgAAtAoAALUKAAC2CgAAtwoAALgKAAC5CgAAugoAALsKAAC8CgAAvQoAAL4KAAC/CgAAwAoAAMEKAADCCgAAwwoAAMQKAADFCgAAxgoAAMcKAADICgAAyQoAAMoKAADLCgAAzAoAAM0KAADOCgAAzwoAANAKAADRCgAA0goAANMKAADUCgAA1QoAANYKAADXCgAA2AoAANkKAADaCgAA2woAANwKAADdCgAA3goAAN8KAADgCgAA4QoAAOIKAADjCgAA5AoAAOUKAADmCgAA5woAAOgKAADpCgAA6goAAOsKAADsCgAA7QoAAO4KAADvCgAA8AoAAPEKAADyCgAA8woAAPQKAAD1CgAA9goAAPcKAAD4CgAA+QoAAPoKAAD7CgAA/AoAAP0KAAD+CgAA/woAAAALAAABCwAAAgsAAAMLAAAECwAABQsAAAYLAAAHCwAACAsAAAkLAAAKCwAACwsAAAwLAAANCwAADgsAAA8LAAAQCwAAEQsAABILAAATCwAAFAsAABULAAAWCwAAFwsAABgLAAAZCwAAGgsAABsLAAAcCwAAHQsAAB4LAAAfCwAAIAsAACELAAAiCwAAIwsAACQLAAAlCwAAJgsAACcLAAAoCwAAKQsAACoLAAArCwAALAsAAC0LAAAuCwAALwsAADALAAAxCwAAMgsAADMLAAA0CwAANQsAADYLAAA3CwAAOAsAADkLAAA6CwAAOwsAADwLAAA9CwAAPgsAAD8LAABACwAAQQsAAEILAABDCwAARAsAAEULAABGCwAARwsAAEgLAABJCwAASgsAAEsLAABMCwAATQsAAE4LAABPCwAAUAsAAFELAABSCwAAUwsAAFQLAABVCwAAVgsAAFcLAABYCwAAWQsAAFoLAABbCwAAXAsAAF0LAABeCwAAXwsAAGALAABhCwAAYgsAAGMLAABkCwAAZQsAAGYLAABnCwAAaAsAAGkLAABqCwAAawsAAGwLAABtCwAAbgsAAG8LAABwCwAAcQsAAHILAABzCwAAdAsAAHULAAB2CwAAdwsAAHgLAAB5CwAAegsAAHsLAAB8CwAAfQsAAH4LAAB/CwAAgAsAAIELAACCCwAAgwsAAIQLAACFCwAAhgsAAIcLAACICwAAiQsAAIoLAACLCwAAjAsAAI0LAACOCwAAjwsAAJALAACRCwAAkgsAAJMLAACUCwAAlQsAAJYLAACXCwAAmAsAAJkLAACaCwAAmwsAAJwLAACdCwAAngsAAJ8LAACgCwAAoQsAAKILAACjCwAApAsAAKULAACmCwAApwsAAKgLAACpCwAAqgsAAKsLAACsCwAArQsAAK4LAACvCwAAsAsAALELAACyCwAAswsAALQLAAC1CwAAtgsAALcLAAC4CwAAuQsAALoLAAC7CwAAvAsAAL0LAAC+CwAAvwsAAMALAADBCwAAwgsAAMMLAADECwAAxQsAAMYLAADHCwAAyAsAAMkLAADKCwAAywsAAMwLAADNCwAAzgsAAM8LAADQCwAA0QsAANILAADTCwAA1AsAANULAADWCwAA1wsAANgLAADZCwAA2gsAANsLAADcCwAA3QsAAN4LAADfCwAA4AsAAOELAADiCwAA4wsAAOQLAADlCwAA5gsAAOcLAADoCwAA6QsAAOoLAADrCwAA7AsAAO0LAADuCwAA7wsAAPALAADxCwAA8gsAAPMLAAD0CwAA9QsAAPYLAAD3CwAA+AsAAPkLAAD6CwAA+wsAAPwLAAD9CwAA/gsAAP8LAAAADAAAAQwAAAIMAAADDAAABAwAAAUMAAAGDAAABwwAAAgMAAAJDAAACgwAAAsMAAAMDAAADQwAAA4MAAAPDAAAEAwAABEMAAASDAAAEwwAABQMAAAVDAAAFgwAABcMAAAYDAAAGQwAABoMAAAbDAAAHAwAAB0MAAAeDAAAHwwAACAMAAAhDAAAIgwAACMMAAAkDAAAJQwAACYMAAAnDAAAKAwAACkMAAAqDAAAKwwAACwMAAAtDAAALgwAAC8MAAAwDAAAMQwAADIMAAAzDAAANAwAADUMAAA2DAAANwwAADgMAAA5DAAAOgwAADsMAAA8DAAAPQwAAD4MAAA/DAAAQAwAAEEMAABCDAAAQwwAAEQMAABFDAAARgwAAEcMAABIDAAASQwAAEoMAABLDAAATAwAAE0MAABODAAATwwAAFAMAABRDAAAUgwAAFMMAABUDAAAVQwAAFYMAABXDAAAWAwAAFkMAABaDAAAWwwAAFwMAABdDAAAXgwAAF8MAABgDAAAYQwAAGIMAABjDAAAZAwAAGUMAABmDAAAZwwAAGgMAABpDAAAagwAAGsMAABsDAAAbQwAAG4MAABvDAAAcAwAAHEMAAByDAAAcwwAAHQMAAB1DAAAdgwAAHcMAAB4DAAAeQwAAHoMAAB7DAAAfAwAAH0MAAB+DAAAfwwAAIAMAACBDAAAggwAAIMMAACEDAAAhQwAAIYMAACHDAAAiAwAAIkMAACKDAAAiwwAAIwMAACNDAAAjgwAAI8MAACQDAAAkQwAAJIMAACTDAAAlAwAAJUMAACWDAAAlwwAAJgMAACZDAAAmgwAAJsMAACcDAAAnQwAAJ4MAACfDAAAoAwAAKEMAACiDAAAowwAAKQMAAClDAAApgwAAKcMAACoDAAAqQwAAKoMAACrDAAArAwAAK0MAACuDAAArwwAALAMAACxDAAAsgwAALMMAAC0DAAAtQwAALYMAAC3DAAAuAwAALkMAAC6DAAAuwwAALwMAAC9DAAAvgwAAL8MAADADAAAwQwAAMIMAADDDAAAxAwAAMUMAADGDAAAxwwAAMgMAADJDAAAygwAAMsMAADMDAAAzQwAAM4MAADPDAAA0AwAANEMAADSDAAA0wwAANQMAADVDAAA1gwAANcMAADYDAAA2QwAANoMAADbDAAA3AwAAN0MAADeDAAA3wwAAOAMAADhDAAA4gwAAOMMAADkDAAA5QwAAOYMAADnDAAA6AwAAOkMAADqDAAA6wwAAOwMAADtDAAA7gwAAO8MAADwDAAA8QwAAPIMAADzDAAA9AwAAPUMAAD2DAAA9wwAAPgMAAD5DAAA+gwAAPsMAAD8DAAA/QwAAP4MAAD/DAAAAA0AAAENAAACDQAAAw0AAAQNAAAFDQAABg0AAAcNAAAIDQAACQ0AAAoNAAALDQAADA0AAA0NAAAODQAADw0AABANAAARDQAAEg0AABMNAAAUDQAAFQ0AABYNAAAXDQAAGA0AABkNAAAaDQAAGw0AABwNAAAdDQAAHg0AAB8NAAAgDQAAIQ0AACINAAAjDQAAJA0AACUNAAAmDQAAJw0AACgNAAApDQAAKg0AACsNAAAsDQAALQ0AAC4NAAAvDQAAMA0AADENAAAyDQAAMw0AADQNAAA1DQAANg0AADcNAAA4DQAAOQ0AADoNAAA7DQAAPA0AAD0NAAA+DQAAPw0AAEANAABBDQAAQg0AAEMNAABEDQAARQ0AAEYNAABHDQAASA0AAEkNAABKDQAASw0AAEwNAABNDQAATg0AAE8NAABQDQAAUQ0AAFINAABTDQAAVA0AAFUNAABWDQAAVw0AAFgNAABZDQAAWg0AAFsNAABcDQAAXQ0AAF4NAABfDQAAYA0AAGENAABiDQAAYw0AAGQNAABlDQAAZg0AAGcNAABoDQAAaQ0AAGoNAABrDQAAbA0AAG0NAABuDQAAbw0AAHANAABxDQAAcg0AAHMNAAB0DQAAdQ0AAHYNAAB3DQAAeA0AAHkNAAB6DQAAew0AAHwNAAB9DQAAfg0AAH8NAACADQAAgQ0AAIINAACDDQAAhA0AAIUNAACGDQAAhw0AAIgNAACJDQAAig0AAIsNAACMDQAAjQ0AAI4NAACPDQAAkA0AAJENAACSDQAAkw0AAJQNAACVDQAAlg0AAJcNAACYDQAAmQ0AAJoNAACbDQAAnA0AAJ0NAACeDQAAnw0AAKANAAChDQAAog0AAKMNAACkDQAApQ0AAKYNAACnDQAAqA0AAKkNAACqDQAAqw0AAKwNAACtDQAArg0AAK8NAACwDQAAsQ0AALINAACzDQAAtA0AALUNAAC2DQAAtw0AALgNAAC5DQAAug0AALsNAAC8DQAAvQ0AAL4NAAC/DQAAwA0AAMENAADCDQAAww0AAMQNAADFDQAAxg0AAMcNAADIDQAAyQ0AAMoNAADLDQAAzA0AAM0NAADODQAAzw0AANANAADRDQAA0g0AANMNAADUDQAA1Q0AANYNAADXDQAA2A0AANkNAADaDQAA2w0AANwNAADdDQAA3g0AAN8NAADgDQAA4Q0AAOINAADjDQAA5A0AAOUNAADmDQAA5w0AAOgNAADpDQAA6g0AAOsNAADsDQAA7Q0AAO4NAADvDQAA8A0AAPENAADyDQAA8w0AAPQNAAD1DQAA9g0AAPcNAAD4DQAA+Q0AAPoNAAD7DQAA/A0AAP0NAAD+DQAA/w0AAAAOAAABDgAAAg4AAAMOAAAEDgAABQ4AAAYOAAAHDgAACA4AAAkOAAAKDgAACw4AAAwOAAANDgAADg4AAA8OAAAQDgAAEQ4AABIOAAATDgAAFA4AABUOAAAWDgAAFw4AABgOAAAZDgAAGg4AABsOAAAcDgAAHQ4AAB4OAAAfDgAAIA4AACEOAAAiDgAAIw4AACQOAAAlDgAAJg4AACcOAAAoDgAAKQ4AACoOAAArDgAALA4AAC0OAAAuDgAALw4AADAOAAAxDgAAMg4AADMOAAA0DgAANQ4AADYOAAA3DgAAOA4AADkOAAA6DgAAOw4AADwOAAA9DgAAPg4AAD8OAABADgAAQQ4AAEIOAABDDgAARA4AAEUOAABGDgAARw4AAEgOAABJDgAASg4AAEsOAABMDgAATQ4AAE4OAABPDgAAUA4AAFEOAABSDgAAUw4AAFQOAABVDgAAVg4AAFcOAABYDgAAWQ4AAFoOAABbDgAAXA4AAF0OAABeDgAAXw4AAGAOAABhDgAAYg4AAGMOAABkDgAAZQ4AAGYOAABnDgAAaA4AAGkOAABqDgAAaw4AAGwOAABtDgAAbg4AAG8OAABwDgAAcQ4AAHIOAABzDgAAdA4AAHUOAAB2DgAAdw4AAHgOAAB5DgAAeg4AAHsOAAB8DgAAfQ4AAH4OAAB/DgAAgA4AAIEOAACCDgAAgw4AAIQOAACFDgAAhg4AAIcOAACIDgAAiQ4AAIoOAACLDgAAjA4AAI0OAACODgAAjw4AAJAOAACRDgAAkg4AAJMOAACUDgAAlQ4AAJYOAACXDgAAmA4AAJkOAACaDgAAmw4AAJwOAACdDgAAng4AAJ8OAACgDgAAoQ4AAKIOAACjDgAApA4AAKUOAACmDgAApw4AAKgOAACpDgAAqg4AAKsOAACsDgAArQ4AAK4OAACvDgAAsA4AALEOAACyDgAAsw4AALQOAAC1DgAAtg4AALcOAAC4DgAAuQ4AALoOAAC7DgAAvA4AAL0OAAC+DgAAvw4AAMAOAADBDgAAwg4AAMMOAADEDgAAxQ4AAMYOAADHDgAAyA4AAMkOAADKDgAAyw4AAMwOAADNDgAAzg4AAM8OAADQDgAA0Q4AANIOAADTDgAA1A4AANUOAADWDgAA1w4AANgOAADZDgAA2g4AANsOAADcDgAA3Q4AAN4OAADfDgAA4A4AAOEOAADiDgAA4w4AAOQOAADlDgAA5g4AAOcOAADoDgAA6Q4AAOoOAADrDgAA7A4AAO0OAADuDgAA7w4AAPAOAADxDgAA8g4AAPMOAAD0DgAA9Q4AAPYOAAD3DgAA+A4AAPkOAAD6DgAA+w4AAPwOAAD9DgAA/g4AAP8OAAAADwAAAQ8AAAIPAAADDwAABA8AAAUPAAAGDwAABw8AAAgPAAAJDwAACg8AAAsPAAAMDwAADQ8AAA4PAAAPDwAAEA8AABEPAAASDwAAEw8AABQPAAAVDwAAFg8AABcPAAAYDwAAGQ8AABoPAAAbDwAAHA8AAB0PAAAeDwAAHw8AACAPAAAhDwAAIg8AACMPAAAkDwAAJQ8AACYPAAAnDwAAKA8AACkPAAAqDwAAKw8AACwPAAAtDwAALg8AAC8PAAAwDwAAMQ8AADIPAAAzDwAANA8AADUPAAA2DwAANw8AADgPAAA5DwAAOg8AADsPAAA8DwAAPQ8AAD4PAAA/DwAAQA8AAEEPAABCDwAAQw8AAEQPAABFDwAARg8AAEcPAABIDwAASQ8AAEoPAABLDwAATA8AAE0PAABODwAATw8AAFAPAABRDwAAUg8AAFMPAABUDwAAVQ8AAFYPAABXDwAAWA8AAFkPAABaDwAAWw8AAFwPAABdDwAAXg8AAF8PAABgDwAAYQ8AAGIPAABjDwAAZA8AAGUPAABmDwAAZw8AAGgPAABpDwAAag8AAGsPAABsDwAAbQ8AAG4PAABvDwAAcA8AAHEPAAByDwAAcw8AAHQPAAB1DwAAdg8AAHcPAAB4DwAAeQ8AAHoPAAB7DwAAfA8AAH0PAAB+DwAAfw8AAIAPAACBDwAAgg8AAIMPAACEDwAAhQ8AAIYPAACHDwAAiA8AAIkPAACKDwAAiw8AAIwPAACNDwAAjg8AAI8PAACQDwAAkQ8AAJIPAACTDwAAlA8AAJUPAACWDwAAlw8AAJgPAACZDwAAmg8AAJsPAACcDwAAnQ8AAJ4PAACfDwAA\"},\"shape\":[3999],\"dtype\":\"int32\",\"order\":\"little\"}],[\"alpha\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"float64\",\"order\":\"little\"}],[\"m\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"float64\",\"order\":\"little\"}],[\"chain__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \"},\"shape\":[3999],\"dtype\":\"int32\",\"order\":\"little\"}],[\"draw__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3999],\"dtype\":\"int32\",\"order\":\"little\"}],[\"diverging__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\"},\"shape\":[3999],\"dtype\":\"bool\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1567\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1568\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1563\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"rho\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1564\",\"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\":\"p1565\",\"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\":\"p1575\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1482\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1483\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1484\"},\"data\":{\"type\":\"map\",\"entries\":[[\"index\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"qAoAAA==\"},\"shape\":[1],\"dtype\":\"int32\",\"order\":\"little\"}],[\"alpha\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"JJf/kH77AUA=\"},\"shape\":[1],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"KNU+HY8Z4T8=\"},\"shape\":[1],\"dtype\":\"float64\",\"order\":\"little\"}],[\"m\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"9pfdk4cFA8A=\"},\"shape\":[1],\"dtype\":\"float64\",\"order\":\"little\"}],[\"chain__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AgAAAA==\"},\"shape\":[1],\"dtype\":\"int32\",\"order\":\"little\"}],[\"draw__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"2AIAAA==\"},\"shape\":[1],\"dtype\":\"int32\",\"order\":\"little\"}],[\"diverging__\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"AQ==\"},\"shape\":[1],\"dtype\":\"bool\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1576\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1577\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1572\",\"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\":\"p1573\",\"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\":\"p1574\",\"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\":\"p1535\",\"attributes\":{\"tools\":[{\"id\":\"p1550\"},{\"id\":\"p1551\"},{\"id\":\"p1553\"},{\"id\":\"p1554\"},{\"id\":\"p1556\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1558\"},{\"id\":\"p1559\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1545\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1546\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1547\"},\"axis_label\":\"rho\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1548\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1540\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1541\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1542\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1543\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1544\",\"attributes\":{\"axis\":{\"id\":\"p1540\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1549\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1545\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1579\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1588\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1578\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1589\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1590\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1586\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1617\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1611\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1612\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1613\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"aVVLOsrByj9pVUs6ysHKP5soxGA/Rs4/myjEYD9Gzj/mfZ5DWuXQP+Z9nkNa5dA/f+fa1pSn0j9/59rWlKfSPxhRF2rPadQ/GFEXas9p1D+xulP9CSzWP7G6U/0JLNY/SiSQkETu1z9KJJCQRO7XP+KNzCN/sNk/4o3MI3+w2T989wi3uXLbP3z3CLe5cts/FGFFSvQ03T8UYUVK9DTdP67Kgd0u994/rsqB3S733j8jGl+4tFzgPyMaX7i0XOA/7079AdI94T/vTv0B0j3hP7yDm0vvHuI/vIObS+8e4j+IuDmVDADjP4i4OZUMAOM/Ve3X3inh4z9V7dfeKeHjPyEidihHwuQ/ISJ2KEfC5D/uVhRyZKPlP+5WFHJko+U/uouyu4GE5j+6i7K7gYTmP4bAUAWfZec/hsBQBZ9l5z9T9e5OvEboP1P17k68Rug/HyqNmNkn6T8fKo2Y2SfpP+xeK+L2COo/7F4r4vYI6j+4k8krFOrqP7iTySsU6uo/hMhndTHL6z+EyGd1McvrP1H9Bb9OrOw/Uf0Fv06s7D8dMqQIbI3tPx0ypAhsje0/6mZCUolu7j/qZkJSiW7uP7ab4JumT+8/tpvgm6ZP7z9CaL/yYRjwP0Jov/JhGPA/qIKOl/CI8D+ogo6X8IjwPw6dXTx/+fA/Dp1dPH/58D90tyzhDWrxP3S3LOENavE/2tH7hZza8T/a0fuFnNrxP0HsyiorS/I/QezKKitL8j+nBprPubvyP6cGms+5u/I/DSFpdEgs8z8NIWl0SCzzP3M7OBnXnPM/czs4Gdec8z/ZVQe+ZQ30P9lVB75lDfQ/QHDWYvR99D9AcNZi9H30P6aKpQeD7vQ/poqlB4Pu9D8MpXSsEV/1PwyldKwRX/U/cr9DUaDP9T9yv0NRoM/1Pw==\"},\"shape\":[86],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[86],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1618\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1619\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1614\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1615\",\"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\":\"p1616\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1587\",\"attributes\":{\"tools\":[{\"id\":\"p1601\"},{\"id\":\"p1602\"},{\"id\":\"p1604\"},{\"id\":\"p1605\"},{\"id\":\"p1607\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1609\"},{\"id\":\"p1610\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1596\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1597\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1598\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1599\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1591\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1592\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1593\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1594\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1595\",\"attributes\":{\"axis\":{\"id\":\"p1591\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1600\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1596\"}}}],\"frame_width\":150,\"frame_height\":150}}]}},{\"type\":\"object\",\"name\":\"Row\",\"id\":\"p1774\",\"attributes\":{\"children\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1620\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1495\"},\"y_range\":{\"type\":\"object\",\"name\":\"Range1d\",\"id\":\"p1732\",\"attributes\":{\"start\":-8.8519016,\"end\":12.6252216}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1631\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1632\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1627\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1659\",\"attributes\":{\"data_source\":{\"id\":\"p1479\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1660\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1661\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1656\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1657\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1658\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1668\",\"attributes\":{\"data_source\":{\"id\":\"p1482\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1669\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1670\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1665\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1666\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1667\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"alpha\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1628\",\"attributes\":{\"tools\":[{\"id\":\"p1643\"},{\"id\":\"p1644\"},{\"id\":\"p1646\"},{\"id\":\"p1647\"},{\"id\":\"p1649\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1651\"},{\"id\":\"p1652\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1638\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1639\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1640\"},\"axis_label\":\"m\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1641\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1633\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1634\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1635\"},\"axis_label\":\"alpha\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1636\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1637\",\"attributes\":{\"axis\":{\"id\":\"p1633\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1642\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1638\"}}}],\"frame_width\":150,\"frame_height\":150,\"min_border_left\":80}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1671\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1588\"},\"y_range\":{\"id\":\"p1732\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1682\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1683\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1678\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1710\",\"attributes\":{\"data_source\":{\"id\":\"p1479\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1711\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1712\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1707\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"size\":{\"type\":\"value\",\"value\":2},\"line_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"fill_color\":{\"type\":\"value\",\"value\":\"black\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.04356786797942715}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1708\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1709\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1719\",\"attributes\":{\"data_source\":{\"id\":\"p1482\"},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1720\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1721\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1716\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1717\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1718\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"rho\"},\"y\":{\"type\":\"field\",\"field\":\"m\"},\"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\":\"p1679\",\"attributes\":{\"tools\":[{\"id\":\"p1694\"},{\"id\":\"p1695\"},{\"id\":\"p1697\"},{\"id\":\"p1698\"},{\"id\":\"p1700\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1702\"},{\"id\":\"p1703\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1689\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1690\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1691\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1692\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1684\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1685\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1686\"},\"axis_label\":\"rho\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1687\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1688\",\"attributes\":{\"axis\":{\"id\":\"p1684\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1693\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1689\"}}}],\"frame_width\":150,\"frame_height\":150}},{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1723\",\"attributes\":{\"align\":\"end\",\"x_range\":{\"id\":\"p1732\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1722\",\"attributes\":{\"start\":0.0}},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1733\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1734\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1730\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1761\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1755\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1756\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1757\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[180],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[180],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1762\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1763\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1758\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1759\",\"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\":\"p1760\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1731\",\"attributes\":{\"tools\":[{\"id\":\"p1745\"},{\"id\":\"p1746\"},{\"id\":\"p1748\"},{\"id\":\"p1749\"},{\"id\":\"p1751\"},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1753\"},{\"id\":\"p1754\"}]}},\"toolbar_location\":null,\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1740\",\"attributes\":{\"visible\":false,\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1741\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1742\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1743\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1735\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1736\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1737\"},\"axis_label\":\"m\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1738\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1739\",\"attributes\":{\"axis\":{\"id\":\"p1735\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1744\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1740\"}}}],\"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\":\"466aca6d-3b9a-4cf5-be3a-b7c931472403\",\"roots\":{\"p1776\":\"e6aaf512-ccd8-4917-88e5-bd4f968c3be6\"},\"root_ids\":[\"p1776\"]}];\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": "p1776"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bokeh.io.show(bebi103.viz.corner(samples, parameters=[\"alpha\", \"rho\", \"m\"]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is a strong funnel shape in $\\alpha$ and $\\rho$. Small $\\alpha$ means that we have little amplitude in the variation, and the model effectively captures all ranges of variation. The length scale $\\rho$ does not push too close to zero, since we used an Inverse-Gamma prior to keep the length scale from being too small.\n",
    "\n",
    "Finally, let's look at the underlying time-variation of $\\lambda$ that we have inferred (which was, after all, our main goal). For comparison, I will overlay the actual function we used "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"f2cc76ca-80a9-4f06-89ef-867df5902700\" data-root-id=\"p1797\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"32bbf05e-098e-4a78-b65a-8602165f4549\":{\"version\":\"3.3.0\",\"title\":\"Bokeh Application\",\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1797\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1798\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1799\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1806\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1807\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1804\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1831\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1825\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1826\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1827\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1832\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1833\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1828\",\"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\":\"p1829\",\"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\":\"p1830\",\"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\":\"p1840\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1834\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1835\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1836\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[118],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1841\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1842\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Patch\",\"id\":\"p1837\",\"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\":\"p1838\",\"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\":\"p1839\",\"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\":\"p1849\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1843\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1844\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1845\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[59],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[59],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1850\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1851\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1846\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#084594\",\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1847\",\"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\":\"p1848\",\"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\":\"p1858\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1852\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1853\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1854\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[59],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[59],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1859\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1860\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1855\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"orange\",\"line_width\":2}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1856\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"orange\",\"line_alpha\":0.1,\"line_width\":2}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1857\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"orange\",\"line_alpha\":0.2,\"line_width\":2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1805\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1818\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1819\",\"attributes\":{\"renderers\":\"auto\"}},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1820\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1821\",\"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\":\"p1822\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1823\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1824\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1813\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1814\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1815\"},\"axis_label\":\"y\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1816\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1808\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1809\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1810\"},\"axis_label\":\"x\",\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1811\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1812\",\"attributes\":{\"axis\":{\"id\":\"p1808\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1817\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1813\"}}}],\"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\":\"32bbf05e-098e-4a78-b65a-8602165f4549\",\"roots\":{\"p1797\":\"f2cc76ca-80a9-4f06-89ef-867df5902700\"},\"root_ids\":[\"p1797\"]}];\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": "p1797"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_fstar = (\n",
    "    samples.posterior[\"log_f\"]\n",
    "    .stack({\"sample\": (\"chain\", \"draw\")})\n",
    "    .transpose(\"sample\", \"log_f_dim_0\")\n",
    ")\n",
    "fstar = np.exp(log_fstar)\n",
    "\n",
    "p = bebi103.viz.predictive_regression(fstar, tstar)\n",
    "p.line(tstar, varying_function(tstar, 10, 0.3), color=\"orange\", line_width=2)\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have done a good job capturing the variation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "bebi103.stan.clean_cmdstan()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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
}