MaverickMeerkat/Gaussian Processes.ipynb

## Gaussian Processes.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Gaussian Process for Dummies - Link](http://katbailey.github.io/post/gaussian-processes-for-dummies/) (probably adopted from Nando de Freitas code)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn.metrics\n",
    "import scipy\n",
    "from mpl_toolkits.mplot3d import Axes3D \n",
    "from matplotlib import cm\n",
    "\n",
    "np.set_printoptions(precision=3)\n",
    "np.set_printoptions(suppress=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create training data\n",
    "Xtrain = np.array([-4, -3, -2, -1, 1]).reshape(5,1)\n",
    "noise = 0.2\n",
    "ytrain = np.sin(Xtrain) # + np.random.normal(0, noise, size=(5,1))\n",
    "n_t = len(Xtrain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# \"Test\" data (what we want to estimate/interpolate)\n",
    "n_s = 50\n",
    "Xtest = np.linspace(-5, 5, n_s).reshape(-1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1efeccb3b70>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(Xtrain, ytrain)\n",
    "plt.plot(Xtest, np.sin(Xtest))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Kernel-First view"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the kernel function - squared exponential\n",
    "def kernel(a, b, l=1, sig_var=1):\n",
    "    '''Squared Exponential kernel = sig_var*exp(-0.5/l**2 * ||x - x'||^2)\n",
    "    '''\n",
    "    distance = sklearn.metrics.pairwise_distances(a,b)\n",
    "    return sig_var*np.exp(-1/(2*l**2)*distance**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Prior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw 3 gaussians from this kernel\n",
    "K_ss = kernel(Xtest, Xtest)\n",
    "\n",
    "f_prior = np.random.multivariate_normal(mean=np.zeros(n_s), cov=K_ss, size=3).T\n",
    "\n",
    "# Now let's plot the 3 sampled functions.\n",
    "plt.plot(Xtest, f_prior)\n",
    "plt.axis([-5, 5, -3, 3])\n",
    "plt.title('Three samples from the GP prior')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Posterior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Apply the kernel function to our training points\n",
    "K = kernel(Xtrain, Xtrain)\n",
    "noise = 0  # sigma^2\n",
    "K_inv = np.linalg.inv(K + noise*np.eye(n_t))\n",
    "# and to our mutual\n",
    "K_s = kernel(Xtrain, Xtest)\n",
    "# compute mean\n",
    "mu = K_s.T@K_inv@ytrain.squeeze()\n",
    "# compute covariance matrix, and corresponding stdv (sqrt diagonal values)\n",
    "cov = K_ss-K_s.T@K_inv@K_s\n",
    "stdv = np.sqrt(np.diag(cov)).squeeze()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw samples from the posterior at our test points. \n",
    "f_post = np.random.multivariate_normal(mean=mu, cov=cov, size=3).T\n",
    "\n",
    "# plot\n",
    "plt.plot(Xtest, np.sin(Xtest))\n",
    "plt.plot(Xtrain, ytrain, 'bs', ms=8)\n",
    "plt.plot(Xtest, f_post)\n",
    "plt.gca().fill_between(Xtest.flat, mu-2*stdv, mu+2*stdv, color=\"#dddddd\")\n",
    "plt.plot(Xtest, mu, 'r--', lw=2)\n",
    "plt.axis([-5, 5, -3, 3])\n",
    "plt.title('Three samples from the GP posterior')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For numerical reasons, since K is always Symmetric and usually Positive-Definite, Cholesky decomposition is better.\n",
    "\n",
    "$$K = LL^T$$\n",
    "$$Kx = y \\Rightarrow LL^Tx = y \\Rightarrow Lu=y , L^Tx = u$$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Cholesky Decomposition (instead of inverting the K+sigma matrix)\n",
    "L = np.linalg.cholesky(K + noise*np.eye(n_t))\n",
    "alpha = np.linalg.solve(L.T, np.linalg.solve(L, ytrain))\n",
    "mu = (K_s.T@alpha).squeeze()\n",
    "v = np.linalg.solve(L, K_s)\n",
    "cov =  K_ss - v.T@v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def GP(Xtrain, ytrain, Xtest, l=1, sig_var=1, noise_var=0):\n",
    "    K_ss = kernel(Xtest, Xtest, l, sig_var)\n",
    "    K = kernel(Xtrain, Xtrain, l, sig_var)\n",
    "    L = np.linalg.cholesky(K + noise_var*np.eye(n_t))\n",
    "    K_s = kernel(Xtrain, Xtest, l, sig_var)\n",
    "    alpha = np.linalg.solve(L.T, np.linalg.solve(L, ytrain))\n",
    "    mu = (K_s.T@alpha).squeeze()\n",
    "    v = np.linalg.solve(L, K_s)\n",
    "    cov =  K_ss - v.T@v\n",
    "    stdv = np.sqrt(np.diag(cov)).squeeze()\n",
    "    # plot\n",
    "    plt.figure(figsize=(10,8))\n",
    "    plt.plot(Xtrain, ytrain, 'bs', ms=8)\n",
    "    plt.gca().fill_between(Xtest.flat, mu-2*stdv, mu+2*stdv, color=\"#dddddd\")\n",
    "    plt.plot(Xtest, mu, 'r--', lw=2)\n",
    "    plt.axis([-5, 5, -3, 3])\n",
    "    plt.title('Three samples from the GP posterior')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "GP(Xtrain, ytrain, Xtest, 1, 1, 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prior view"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Project data into a polynomial feature space, up to 5th degree:\n",
    "\n",
    "$$x \\to \\phi(x)$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's try to interpolate with a 5-th degree polynomial some sin points\n",
    "phi_test = np.column_stack((np.ones(n_s), Xtest, Xtest**2, Xtest**3, Xtest**4, Xtest**5)).T\n",
    "phi_train = np.column_stack((np.ones(n_t), Xtrain, Xtrain**2, Xtrain**3, Xtrain**4, Xtrain**5)).T\n",
    "\n",
    "# prior on the coefficients - N(0, Sigma_p)\n",
    "# Assuming an identity covariance matrix for prior (Sigma_p = I)\n",
    "# Sigma_p = np.eye(6)\n",
    "t = np.random.normal(size=(6,6))\n",
    "Sigma_p = t.T@t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma2_n = 0.00"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = phi_train.T@Sigma_p@phi_train\n",
    "K_s = phi_test.T@Sigma_p@phi_train\n",
    "K_ss = phi_test.T@Sigma_p@phi_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = K_s@np.linalg.inv(K + sigma2_n*np.eye(n_t))\n",
    "mu = a@ytrain\n",
    "mu = mu.squeeze()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "cov = K_ss - a@K_s.T\n",
    "cov = cov.squeeze() \n",
    "stdv = np.sqrt(np.diag(cov)).squeeze()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\david\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:2: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  \n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw samples from the posterior at our test points. \n",
    "f_post = np.random.multivariate_normal(mean=mu, cov=cov, size=3).T\n",
    "\n",
    "# plot\n",
    "plt.plot(Xtrain, ytrain, 'bs', ms=8)\n",
    "plt.plot(Xtest, f_post)\n",
    "plt.gca().fill_between(Xtest.flat, mu-2*stdv, mu+2*stdv, color=\"#dddddd\")\n",
    "plt.plot(Xtest, mu, 'r--', lw=2)\n",
    "plt.axis([-5, 5, -3, 3])\n",
    "plt.title('Three samples from the GP posterior')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2D example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Test data\n",
    "nx, ny = (50, 50)\n",
    "x = np.linspace(-5, 5, nx)\n",
    "y = np.linspace(-5, 5, ny)\n",
    "xv, yv = np.meshgrid(x,y)\n",
    "Xtest = np.column_stack([xv.ravel(),yv.ravel()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Noiseless training data\n",
    "nx_tr, ny_tr = (20, 20)\n",
    "x = np.linspace(-5, 5, nx_tr)\n",
    "y = np.linspace(-5, 5, ny_tr)\n",
    "xv_t, yv_t = np.meshgrid(x,y)\n",
    "Xtrain = np.column_stack([xv_t.ravel(),yv_t.ravel()])\n",
    "Ytrain = np.sinc(np.linalg.norm(Xtrain, axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the real function\n",
    "%matplotlib notebook\n",
    "Y = np.sinc(np.linalg.norm(Xtest, axis=1))\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "ax = fig.gca(projection='3d')\n",
    "surf = ax.plot_surface(xv, yv, Y.reshape(50,50), cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# RBF/Squared Expo. Kernel\n",
    "def kernel(X, l=1, sig_var=1):\n",
    "    if isinstance(X, list):\n",
    "        distance = sklearn.metrics.pairwise_distances(*X)\n",
    "    else:\n",
    "        distance = sklearn.metrics.pairwise_distances(X)\n",
    "    return sig_var*np.exp(-1/(2*l**2)*distance**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def GP3D(Xtrain, Ytrain, Xtest, l=1, sig_var=1, noise_var=1):\n",
    "    K_ss = kernel(Xtest, l, sig_var)\n",
    "    K = kernel(Xtrain, l, sig_var)\n",
    "    L = np.linalg.cholesky(K + noise_var*np.eye(len(Ytrain)))\n",
    "    K_s = kernel([Xtrain, Xtest], l, sig_var)\n",
    "    alpha = np.linalg.solve(L.T, np.linalg.solve(L, Ytrain))\n",
    "    mu = (K_s.T@alpha).squeeze()\n",
    "    v = np.linalg.solve(L, K_s)\n",
    "    cov =  K_ss - v.T@v\n",
    "    stdv = np.sqrt(np.diag(cov)).squeeze()\n",
    "    return mu, cov, stdv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\david\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:10: RuntimeWarning: invalid value encountered in sqrt\n",
      "  # Remove the CWD from sys.path while we load stuff.\n"
     ]
    }
   ],
   "source": [
    "mu, cov, stdv = GP3D(Xtrain, Ytrain, Xtest, 1, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# %matplotlib notebook\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "ax = fig.gca(projection='3d')\n",
    "surf = ax.plot_surface(xv, yv, mu.reshape(50,50), cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)\n",
    "ax.set_zlim(-0.3, 0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}