neural_net_plotter.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "def create_dense_mask(layer_dims):\n",
    "    mask = []\n",
    "    for i in range(len(layer_dimensions[:-1])):     \n",
    "        mask.append(np.ones((layer_dimensions[i],layer_dimensions[i+1])))\n",
    "        \n",
    "    return mask\n",
    "\n",
    "\n",
    "def create_graph(mask, layer_dims):\n",
    "    G = nx.DiGraph()\n",
    "   \n",
    "    # Add nodes\n",
    "    i = 0\n",
    "    for layer_no, dim in enumerate(layer_dims):\n",
    "        for j in range(dim):\n",
    "            G.add_node(i)\n",
    "            i += 1\n",
    "            \n",
    "    # Add edges\n",
    "    for mask_no, layer_mask in enumerate(mask):\n",
    "        start_index = sum(layer_dims[:mask_no])\n",
    "        end_index = start_index + layer_dims[mask_no]\n",
    "\n",
    "        for i, row in enumerate(layer_mask):\n",
    "            for j, value in enumerate(row):\n",
    "                # Only add connection if the weight is not 0\n",
    "                if value != 0:\n",
    "                    G.add_edge(start_index + i, end_index + j)\n",
    "                    \n",
    "    return G\n",
    "\n",
    "# Define layout of the neural net\n",
    "def neural_net_layout(G, mask, layer_dims):\n",
    "    i = 0\n",
    "    pos = {}\n",
    "    for layer_no, dim in enumerate(layer_dims):\n",
    "        for j in range(dim):\n",
    "            pos[i] = (layer_no, j - (dim/2))\n",
    "            i += 1\n",
    "            \n",
    "    return pos\n",
    "\n",
    "layer_dimensions = [8, 4, 2, 4, 8]\n",
    "mask = create_dense_mask(layer_dimensions)\n",
    "G = create_graph(mask, layer_dimensions)\n",
    "pos = neural_net_layout(G, mask, layer_dimensions)\n",
    "nx.draw(G, pos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"53169032-8985-4246-a388-78020a051630\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var 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",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var 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",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      var cmd = \"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, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var 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",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\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",
       "      var 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",
       "      var 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",
       "    var events = require('base/js/events');\n",
       "    var 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",
       "\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",
       "  var 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",
       "    var el = document.getElementById(\"53169032-8985-4246-a388-78020a051630\");\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",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "    }\n",
       "    finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.info(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(js_urls, callback) {\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.log(\"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.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = js_urls.length;\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var s = document.createElement('script');\n",
       "      s.src = url;\n",
       "      s.async = false;\n",
       "      s.onreadystatechange = s.onload = function() {\n",
       "        root._bokeh_is_loading--;\n",
       "        if (root._bokeh_is_loading === 0) {\n",
       "          console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "          run_callbacks()\n",
       "        }\n",
       "      };\n",
       "      s.onerror = function() {\n",
       "        console.warn(\"failed to load library \" + url);\n",
       "      };\n",
       "      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "    }\n",
       "  };var element = document.getElementById(\"53169032-8985-4246-a388-78020a051630\");\n",
       "  if (element == null) {\n",
       "    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '53169032-8985-4246-a388-78020a051630' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-0.13.0.min.js\"];\n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "    },\n",
       "    function(Bokeh) {\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if ((root.Bokeh !== undefined) || (force === true)) {\n",
       "      for (var i = 0; i < inline_js.length; i++) {\n",
       "        inline_js[i].call(root, root.Bokeh);\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",
       "      var cell = $(document.getElementById(\"53169032-8985-4246-a388-78020a051630\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(js_urls, function() {\n",
       "      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var 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\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  var 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    var el = document.getElementById(\"53169032-8985-4246-a388-78020a051630\");\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\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n    }\n    finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.info(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(js_urls, callback) {\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.log(\"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.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = js_urls.length;\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var s = document.createElement('script');\n      s.src = url;\n      s.async = false;\n      s.onreadystatechange = s.onload = function() {\n        root._bokeh_is_loading--;\n        if (root._bokeh_is_loading === 0) {\n          console.log(\"Bokeh: all BokehJS libraries loaded\");\n          run_callbacks()\n        }\n      };\n      s.onerror = function() {\n        console.warn(\"failed to load library \" + url);\n      };\n      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.getElementsByTagName(\"head\")[0].appendChild(s);\n    }\n  };var element = document.getElementById(\"53169032-8985-4246-a388-78020a051630\");\n  if (element == null) {\n    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '53169032-8985-4246-a388-78020a051630' but no matching script tag was found. \")\n    return false;\n  }\n\n  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-0.13.0.min.js\"];\n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    \n    function(Bokeh) {\n      \n    },\n    function(Bokeh) {\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n    }\n  ];\n\n  function run_inline_js() {\n    \n    if ((root.Bokeh !== undefined) || (force === true)) {\n      for (var i = 0; i < inline_js.length; i++) {\n        inline_js[i].call(root, root.Bokeh);\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      var cell = $(document.getElementById(\"53169032-8985-4246-a388-78020a051630\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(js_urls, function() {\n      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"5fdac424-f803-4a4b-8147-725e6214856e\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"e4b2f401-38ae-405c-a96b-5694c1ac96dd\":{\"roots\":{\"references\":[{\"attributes\":{\"graph_layout\":{\"0\":[0,-4.0],\"1\":[0,-3.0],\"10\":[1,0.0],\"11\":[1,1.0],\"12\":[2,-1.0],\"13\":[2,0.0],\"14\":[3,-2.0],\"15\":[3,-1.0],\"16\":[3,0.0],\"17\":[3,1.0],\"18\":[4,-4.0],\"19\":[4,-3.0],\"2\":[0,-2.0],\"20\":[4,-2.0],\"21\":[4,-1.0],\"22\":[4,0.0],\"23\":[4,1.0],\"24\":[4,2.0],\"25\":[4,3.0],\"3\":[0,-1.0],\"4\":[0,0.0],\"5\":[0,1.0],\"6\":[0,2.0],\"7\":[0,3.0],\"8\":[1,-2.0],\"9\":[1,-1.0]}},\"id\":\"985ca2ed-3b35-4e8e-9c8a-f318b3f0afd5\",\"type\":\"StaticLayoutProvider\"},{\"attributes\":{},\"id\":\"a87cae4e-f2e6-480b-97d0-46506c8c98ea\",\"type\":\"NodesOnly\"},{\"attributes\":{},\"id\":\"34993a20-15be-4d55-88f7-6d9d07bfccf0\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"callback\":null,\"data\":{\"index\":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]},\"selected\":{\"id\":\"dcd3a294-35b6-4188-a6a0-9ed25dd9363d\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"d74b508b-32f3-4f01-aa80-efb12a145278\",\"type\":\"UnionRenderers\"}},\"id\":\"2bfb5f48-faa3-40ef-8ba7-34d286f71309\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\"},\"id\":\"681f49bc-435e-41dd-8608-2fa30c5882d0\",\"type\":\"Toolbar\"},{\"attributes\":{\"source\":{\"id\":\"8cf57759-65e2-4db7-8931-49ec96f0001e\",\"type\":\"ColumnDataSource\"}},\"id\":\"5c6bbf4a-8f0f-4411-9ec7-5c1a67f79b94\",\"type\":\"CDSView\"},{\"attributes\":{\"callback\":null,\"end\":4.1,\"start\":-0.1},\"id\":\"cfc5e6dd-5cc5-40c9-a80d-906d5a8daf45\",\"type\":\"Range1d\"},{\"attributes\":{},\"id\":\"d7b5dc10-e67c-4223-9dc2-e484ac779121\",\"type\":\"NodesOnly\"},{\"attributes\":{},\"id\":\"15f6e41d-94a2-471e-847f-f549828cfe1c\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"dcd3a294-35b6-4188-a6a0-9ed25dd9363d\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"cdf287e9-74ed-403f-b896-d2d2b9ce10da\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"4a4ef925-68da-4435-9ec5-5f9c135a8fe9\",\"type\":\"Selection\"},{\"attributes\":{\"plot\":null,\"text\":\"Graph Interaction Demonstration\"},\"id\":\"e9ce6970-43f0-4774-b6a7-4f4996a1b6dc\",\"type\":\"Title\"},{\"attributes\":{},\"id\":\"c8574b1c-a036-486d-9a6d-cf31ba9f626d\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"formatter\":{\"id\":\"c8885a30-2e50-4a54-a8ea-f517ac4796f0\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"ea93f52f-210b-40e6-9070-9ae74d28981f\",\"type\":\"BasicTicker\"},\"visible\":false},\"id\":\"4bed772f-7839-450a-b542-d2b9532612cb\",\"type\":\"LinearAxis\"},{\"attributes\":{\"callback\":null,\"end\":4.0,\"start\":-4.5},\"id\":\"3895a198-d1e9-4652-93ce-837577b1fc70\",\"type\":\"Range1d\"},{\"attributes\":{\"data_source\":{\"id\":\"2bfb5f48-faa3-40ef-8ba7-34d286f71309\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"9baa36c0-64e8-4029-8154-da2944007299\",\"type\":\"Circle\"},\"hover_glyph\":null,\"muted_glyph\":null,\"view\":{\"id\":\"c82be941-c597-4802-ac41-3d0350871fef\",\"type\":\"CDSView\"}},\"id\":\"9267e01c-b952-4f66-9b3a-1851c0f09363\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"ea93f52f-210b-40e6-9070-9ae74d28981f\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"d74b508b-32f3-4f01-aa80-efb12a145278\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"grid_line_color\":{\"value\":null},\"plot\":{\"id\":\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"ea93f52f-210b-40e6-9070-9ae74d28981f\",\"type\":\"BasicTicker\"}},\"id\":\"9fd45044-8074-4d9c-b085-bf1f14a0c7bb\",\"type\":\"Grid\"},{\"attributes\":{\"formatter\":{\"id\":\"34993a20-15be-4d55-88f7-6d9d07bfccf0\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"dde64bfe-3a3b-4fcd-9988-926cbd0a18f5\",\"type\":\"BasicTicker\"},\"visible\":false},\"id\":\"a8d1f7af-65c3-497a-a610-b845efdac774\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"dde64bfe-3a3b-4fcd-9988-926cbd0a18f5\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"2db1f8a3-6934-42af-9683-f09343bc3aaa\",\"type\":\"MultiLine\"},{\"attributes\":{\"dimension\":1,\"grid_line_color\":{\"value\":null},\"plot\":{\"id\":\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"dde64bfe-3a3b-4fcd-9988-926cbd0a18f5\",\"type\":\"BasicTicker\"}},\"id\":\"a2e5eff2-0030-48af-98a8-27c03ab84023\",\"type\":\"Grid\"},{\"attributes\":{\"callback\":null,\"data\":{\"end\":[8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,11,8,9,10,11,12,13,12,13,12,13,12,13,14,15,16,17,14,15,16,17,18,19,20,21,22,23,24,25,18,19,20,21,22,23,24,25,18,19,20,21,22,23,24,25,18,19,20,21,22,23,24,25],\"start\":[0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,9,9,10,10,11,11,12,12,12,12,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17]},\"selected\":{\"id\":\"4a4ef925-68da-4435-9ec5-5f9c135a8fe9\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"c8574b1c-a036-486d-9a6d-cf31ba9f626d\",\"type\":\"UnionRenderers\"}},\"id\":\"8cf57759-65e2-4db7-8931-49ec96f0001e\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"below\":[{\"id\":\"4bed772f-7839-450a-b542-d2b9532612cb\",\"type\":\"LinearAxis\"}],\"left\":[{\"id\":\"a8d1f7af-65c3-497a-a610-b845efdac774\",\"type\":\"LinearAxis\"}],\"renderers\":[{\"id\":\"4bed772f-7839-450a-b542-d2b9532612cb\",\"type\":\"LinearAxis\"},{\"id\":\"9fd45044-8074-4d9c-b085-bf1f14a0c7bb\",\"type\":\"Grid\"},{\"id\":\"a8d1f7af-65c3-497a-a610-b845efdac774\",\"type\":\"LinearAxis\"},{\"id\":\"a2e5eff2-0030-48af-98a8-27c03ab84023\",\"type\":\"Grid\"},{\"id\":\"f34899c4-d869-42a9-bc6b-c659406f2b43\",\"type\":\"GraphRenderer\"}],\"title\":{\"id\":\"e9ce6970-43f0-4774-b6a7-4f4996a1b6dc\",\"type\":\"Title\"},\"toolbar\":{\"id\":\"681f49bc-435e-41dd-8608-2fa30c5882d0\",\"type\":\"Toolbar\"},\"toolbar_location\":null,\"x_range\":{\"id\":\"cfc5e6dd-5cc5-40c9-a80d-906d5a8daf45\",\"type\":\"Range1d\"},\"x_scale\":{\"id\":\"15f6e41d-94a2-471e-847f-f549828cfe1c\",\"type\":\"LinearScale\"},\"y_range\":{\"id\":\"3895a198-d1e9-4652-93ce-837577b1fc70\",\"type\":\"Range1d\"},\"y_scale\":{\"id\":\"cdf287e9-74ed-403f-b896-d2d2b9ce10da\",\"type\":\"LinearScale\"}},\"id\":\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"fill_color\":{\"value\":\"#2b83ba\"},\"size\":{\"units\":\"screen\",\"value\":15}},\"id\":\"9baa36c0-64e8-4029-8154-da2944007299\",\"type\":\"Circle\"},{\"attributes\":{\"data_source\":{\"id\":\"8cf57759-65e2-4db7-8931-49ec96f0001e\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"2db1f8a3-6934-42af-9683-f09343bc3aaa\",\"type\":\"MultiLine\"},\"hover_glyph\":null,\"muted_glyph\":null,\"view\":{\"id\":\"5c6bbf4a-8f0f-4411-9ec7-5c1a67f79b94\",\"type\":\"CDSView\"}},\"id\":\"8fee0fb6-85c5-4e8f-9828-22424c0dba55\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"2bfb5f48-faa3-40ef-8ba7-34d286f71309\",\"type\":\"ColumnDataSource\"}},\"id\":\"c82be941-c597-4802-ac41-3d0350871fef\",\"type\":\"CDSView\"},{\"attributes\":{\"edge_renderer\":{\"id\":\"8fee0fb6-85c5-4e8f-9828-22424c0dba55\",\"type\":\"GlyphRenderer\"},\"inspection_policy\":{\"id\":\"a87cae4e-f2e6-480b-97d0-46506c8c98ea\",\"type\":\"NodesOnly\"},\"layout_provider\":{\"id\":\"985ca2ed-3b35-4e8e-9c8a-f318b3f0afd5\",\"type\":\"StaticLayoutProvider\"},\"node_renderer\":{\"id\":\"9267e01c-b952-4f66-9b3a-1851c0f09363\",\"type\":\"GlyphRenderer\"},\"selection_policy\":{\"id\":\"d7b5dc10-e67c-4223-9dc2-e484ac779121\",\"type\":\"NodesOnly\"}},\"id\":\"f34899c4-d869-42a9-bc6b-c659406f2b43\",\"type\":\"GraphRenderer\"},{\"attributes\":{},\"id\":\"c8885a30-2e50-4a54-a8ea-f517ac4796f0\",\"type\":\"BasicTickFormatter\"}],\"root_ids\":[\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\"]},\"title\":\"Bokeh Application\",\"version\":\"0.13.0\"}};\n",
       "  var render_items = [{\"docid\":\"e4b2f401-38ae-405c-a96b-5694c1ac96dd\",\"roots\":{\"b281d2f6-b4e7-4135-84b1-e1abeed45b09\":\"5fdac424-f803-4a4b-8147-725e6214856e\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\")\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "b281d2f6-b4e7-4135-84b1-e1abeed45b09"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.models import Plot, Range1d, MultiLine, Circle, HoverTool, TapTool, BoxSelectTool\n",
    "from bokeh.palettes import Spectral4\n",
    "from bokeh.models.graphs import from_networkx, NodesAndLinkedEdges, EdgesAndLinkedNodes\n",
    "from bokeh.plotting import figure\n",
    "from bokeh.io import show, output_file, output_notebook\n",
    "\n",
    "graph = from_networkx(G, neural_net_layout, mask = mask, layer_dims = layer_dimensions)\n",
    "graph.node_renderer.glyph = Circle(size=15, fill_color=Spectral4[0])\n",
    "\n",
    "plot = figure(x_range=(-0.1,len(layer_dimensions)-0.9),\n",
    "              y_range=(-max(layer_dimensions)/2 - 0.5,max(layer_dimensions)/2),\n",
    "              tools=\"\", toolbar_location=None)\n",
    "plot.title.text = \"Graph Interaction Demonstration\"\n",
    "plot.renderers.append(graph)\n",
    "plot.xgrid.grid_line_color = None\n",
    "plot.ygrid.grid_line_color = None\n",
    "plot.axis.visible = False\n",
    "\n",
    "output_notebook()\n",
    "show(plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var 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",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var 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",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      var cmd = \"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, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var 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",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\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",
       "      var 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",
       "      var 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",
       "    var events = require('base/js/events');\n",
       "    var 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",
       "\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",
       "  var 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",
       "    var el = document.getElementById(\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\");\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",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "    }\n",
       "    finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.info(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(js_urls, callback) {\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.log(\"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.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = js_urls.length;\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var s = document.createElement('script');\n",
       "      s.src = url;\n",
       "      s.async = false;\n",
       "      s.onreadystatechange = s.onload = function() {\n",
       "        root._bokeh_is_loading--;\n",
       "        if (root._bokeh_is_loading === 0) {\n",
       "          console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "          run_callbacks()\n",
       "        }\n",
       "      };\n",
       "      s.onerror = function() {\n",
       "        console.warn(\"failed to load library \" + url);\n",
       "      };\n",
       "      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "    }\n",
       "  };var element = document.getElementById(\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\");\n",
       "  if (element == null) {\n",
       "    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '32c21ec0-56c3-4824-aff6-dec4d6b3bd9e' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-0.13.0.min.js\"];\n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "    },\n",
       "    function(Bokeh) {\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if ((root.Bokeh !== undefined) || (force === true)) {\n",
       "      for (var i = 0; i < inline_js.length; i++) {\n",
       "        inline_js[i].call(root, root.Bokeh);\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",
       "      var cell = $(document.getElementById(\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(js_urls, function() {\n",
       "      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var 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\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  var 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    var el = document.getElementById(\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\");\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\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n    }\n    finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.info(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(js_urls, callback) {\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.log(\"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.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = js_urls.length;\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var s = document.createElement('script');\n      s.src = url;\n      s.async = false;\n      s.onreadystatechange = s.onload = function() {\n        root._bokeh_is_loading--;\n        if (root._bokeh_is_loading === 0) {\n          console.log(\"Bokeh: all BokehJS libraries loaded\");\n          run_callbacks()\n        }\n      };\n      s.onerror = function() {\n        console.warn(\"failed to load library \" + url);\n      };\n      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.getElementsByTagName(\"head\")[0].appendChild(s);\n    }\n  };var element = document.getElementById(\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\");\n  if (element == null) {\n    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '32c21ec0-56c3-4824-aff6-dec4d6b3bd9e' but no matching script tag was found. \")\n    return false;\n  }\n\n  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-0.13.0.min.js\"];\n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    \n    function(Bokeh) {\n      \n    },\n    function(Bokeh) {\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.13.0.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.13.0.min.css\");\n      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-tables-0.13.0.min.css\");\n    }\n  ];\n\n  function run_inline_js() {\n    \n    if ((root.Bokeh !== undefined) || (force === true)) {\n      for (var i = 0; i < inline_js.length; i++) {\n        inline_js[i].call(root, root.Bokeh);\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      var cell = $(document.getElementById(\"32c21ec0-56c3-4824-aff6-dec4d6b3bd9e\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(js_urls, function() {\n      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
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     "metadata": {},
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     "data": {
      "text/html": [
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       "\n",
       "  <div class=\"bk-root\" id=\"8351d3e5-c4cb-4a84-8caf-967c4833f1cb\"></div>\n"
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     },
     "metadata": {},
     "output_type": "display_data"
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Application\",\"version\":\"0.13.0\"}};\n",
       "  var render_items = [{\"docid\":\"9c88efe6-231f-4c20-a4e2-1dfa233a01ff\",\"roots\":{\"7a1ae8b2-6c86-4beb-944c-d3b2333b6049\":\"8351d3e5-c4cb-4a84-8caf-967c4833f1cb\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\")\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "7a1ae8b2-6c86-4beb-944c-d3b2333b6049"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph = from_networkx(G, neural_net_layout, mask = mask, layer_dims = layer_dimensions)\n",
    "\n",
    "graph.node_renderer.glyph = Circle(size=15, fill_color=Spectral4[0])\n",
    "graph.node_renderer.selection_glyph = Circle(size=15, fill_color=Spectral4[2])\n",
    "graph.node_renderer.hover_glyph = Circle(size=15, fill_color=Spectral4[1])\n",
    "\n",
    "graph.edge_renderer.glyph = MultiLine(line_color=\"#CCCCCC\", line_alpha=0.9, line_width=1)\n",
    "graph.edge_renderer.selection_glyph = MultiLine(line_color=Spectral4[2], line_width=5)\n",
    "graph.edge_renderer.hover_glyph = MultiLine(line_color=Spectral4[1], line_width=5)\n",
    "\n",
    "graph.selection_policy = NodesAndLinkedEdges()\n",
    "graph.inspection_policy = EdgesAndLinkedNodes()\n",
    "\n",
    "plot = figure(x_range=(-0.1,len(layer_dimensions)-0.9),\n",
    "              y_range=(-max(layer_dimensions)/2 - 0.5,max(layer_dimensions)/2),\n",
    "              tools=\"\", toolbar_location=None)\n",
    "\n",
    "plot.title.text = \"Graph Interaction Demonstration\"\n",
    "plot.add_tools(HoverTool(tooltips=None), TapTool(), BoxSelectTool())\n",
    "plot.renderers.append(graph)\n",
    "plot.xgrid.grid_line_color = None\n",
    "plot.ygrid.grid_line_color = None\n",
    "plot.axis.visible = False\n",
    "output_notebook()\n",
    "show(plot)"
   ]
  }
 ],
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