{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Marginal Likelihood Implementation\n",
    "\n",
    "The `gp.Marginal` class implements the more common case of GP regression:  the observed data are the sum of a GP and Gaussian noise.  `gp.Marginal` has a `marginal_likelihood` method, a `conditional` method, and a `predict` method.  Given a mean and covariance function, the function $f(x)$ is modeled as,\n",
    "\n",
    "$$\n",
    "f(x) \\sim \\mathcal{GP}(m(x),\\, k(x, x')) \\,.\n",
    "$$\n",
    "\n",
    "The observations $y$ are the unknown function plus noise\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "  \\epsilon &\\sim N(0, \\Sigma) \\\\\n",
    "  y &= f(x) + \\epsilon \\\\\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The `.marginal_likelihood` method\n",
    "\n",
    "The unknown latent function can be analytically integrated out of the product of the GP prior probability with a normal likelihood.  This quantity is called the marginal likelihood. \n",
    "\n",
    "$$\n",
    "p(y \\mid x) = \\int p(y \\mid f, x) \\, p(f \\mid x) \\, df\n",
    "$$\n",
    "\n",
    "The log of the marginal likelihood, $p(y \\mid x)$, is\n",
    "\n",
    "$$\n",
    "\\log p(y \\mid x) = \n",
    "  -\\frac{1}{2} (\\mathbf{y} - \\mathbf{m}_x)^{T} \n",
    "               (\\mathbf{K}_{xx} + \\boldsymbol\\Sigma)^{-1} \n",
    "               (\\mathbf{y} - \\mathbf{m}_x)\n",
    "  - \\frac{1}{2}|\\mathbf{K}_{xx} + \\boldsymbol\\Sigma|\n",
    "  - \\frac{n}{2}\\log (2 \\pi)\n",
    "$$\n",
    "\n",
    "$\\boldsymbol\\Sigma$ is the covariance matrix of the Gaussian noise.  Since the Gaussian noise doesn't need to be white to be conjugate, the `marginal_likelihood` method supports either using a white noise term when a scalar is provided, or a noise covariance function when a covariance function is provided.\n",
    "\n",
    "The `gp.marginal_likelihood` method implements the quantity given above.  Some sample code would be,\n",
    "\n",
    "```python\n",
    "import numpy as np\n",
    "import pymc3 as pm\n",
    "\n",
    "# A one dimensional column vector of inputs.\n",
    "X = np.linspace(0, 1, 10)[:,None]\n",
    "\n",
    "with pm.Model() as marginal_gp_model:\n",
    "    # Specify the covariance function.\n",
    "    cov_func = pm.gp.cov.ExpQuad(1, lengthscales=0.1)\n",
    "\n",
    "    # Specify the GP.  The default mean function is `Zero`.\n",
    "    gp = pm.gp.Marginal(cov_func=cov_func)\n",
    "\n",
    "    # The scale of the white noise term can be provided,\n",
    "    sigma = pm.HalfCauchy(\"sigma\", beta=5)\n",
    "    y_ = gp.marginal_likelihood(\"y\", X=X, y=y, noise=sigma)\n",
    "    \n",
    "    # OR a covariance function for the noise can be given\n",
    "    # noise_l = pm.Gamma(\"noise_l\", alpha=2, beta=2)\n",
    "    # cov_func_noise = pm.gp.cov.Exponential(1, noise_l) + pm.gp.cov.WhiteNoise(sigma=0.1)\n",
    "    # y_ = gp.marginal_likelihood(\"y\", X=X, y=y, noise=cov_func_noise)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The `.conditional` distribution\n",
    "\n",
    "The `.conditional` has an optional flag for `pred_noise`, which defaults to `False`.  When `pred_noise=False`, the `conditional` method produces the predictive distribution for the underlying function represented by the GP.  When `pred_noise=True`, the `conditional` method produces the predictive distribution for the GP plus noise.  Using the same `gp` object defined above, \n",
    "\n",
    "```python\n",
    "# vector of new X points we want to predict the function at\n",
    "Xnew = np.linspace(0, 2, 100)[:, None]\n",
    "\n",
    "with marginal_gp_model:\n",
    "    f_star = gp.conditional(\"f_star\", Xnew=Xnew)\n",
    "    \n",
    "    # or to predict the GP plus noise\n",
    "    y_star = gp.conditional(\"y_star\", Xnew=Xnew, pred_noise=True)\n",
    "```\n",
    "If using an additive GP model, the conditional distribution for individual components can be constructed by setting the optional argument `given`.  For more information on building additive GPs, see the main documentation page.  For an example, see the Mauna Loa CO$_2$ notebook.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Making predictions\n",
    "\n",
    "The `.predict` method returns the conditional mean and variance of the `gp` given a `point` as NumPy arrays.  The `point` can be the result of `find_MAP` or a sample from the trace.  The `.predict` method can be used outside of a `Model` block.  Like `.conditional`, `.predict` accepts `given` so it can produce predictions from components of additive GPs.\n",
    "\n",
    "```python\n",
    "# The mean and full covariance\n",
    "mu, cov = gp.predict(Xnew, point=trace[-1])\n",
    "\n",
    "# The mean and variance (diagonal of the covariance)\n",
    "mu, var = gp.predict(Xnew, point=trace[-1],  diag=True)\n",
    "\n",
    "# With noise included\n",
    "mu, var = gp.predict(Xnew, point=trace[-1],  diag=True, pred_noise=True)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Regression with white, Gaussian noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:12:49.739412Z",
     "start_time": "2017-09-04T05:12:48.977594Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:12:56.120937Z",
     "start_time": "2017-09-04T05:12:49.877135Z"
    }
   },
   "outputs": [
    {
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LfK4FYSIT7/pUWrjzI/j3p9H7zhsId45KzevL3lu+BUY8Gp1PMfF8OLxb/d8j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\nSZIkqZD/B48SbfC/DDqzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11115b780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set the seed\n",
    "np.random.seed(1)\n",
    "\n",
    "n = 100 # The number of data points\n",
    "X = np.linspace(0, 10, n)[:, None] # The inputs to the GP, they must be arranged as a column vector\n",
    "\n",
    "# Define the true covariance function and its parameters\n",
    "ℓ_true = 1.0\n",
    "η_true = 3.0\n",
    "cov_func = η_true**2 * pm.gp.cov.Matern52(1, ℓ_true)\n",
    "\n",
    "# A mean function that is zero everywhere\n",
    "mean_func = pm.gp.mean.Zero()\n",
    "\n",
    "# The latent function values are one sample from a multivariate normal\n",
    "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n",
    "f_true = np.random.multivariate_normal(mean_func(X).eval(), \n",
    "                                       cov_func(X).eval() + 1e-8*np.eye(n), 1).flatten()\n",
    "\n",
    "# The observed data is the latent function plus a small amount of IID Gaussian noise\n",
    "# The standard deviation of the noise is `sigma`\n",
    "σ_true = 2.0\n",
    "y = f_true + σ_true * np.random.randn(n)\n",
    "\n",
    "## Plot the data and the unobserved latent function\n",
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n",
    "ax.plot(X, y, 'ok', ms=3, alpha=0.5, label=\"Data\");\n",
    "ax.set_xlabel(\"X\"); ax.set_ylabel(\"The true f(x)\"); plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:13:02.744988Z",
     "start_time": "2017-09-04T05:12:56.122906Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -231.67, ||grad|| = 0.0013468: 100%|██████████| 12/12 [00:00<00:00, 273.64it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    ℓ = pm.Gamma(\"ℓ\", alpha=2, beta=1)\n",
    "    η = pm.HalfCauchy(\"η\", beta=5)\n",
    "    \n",
    "    cov = η**2 * pm.gp.cov.Matern52(1, ℓ)\n",
    "    gp = pm.gp.Marginal(cov_func=cov)\n",
    "     \n",
    "    σ = pm.HalfCauchy(\"σ\", beta=5)\n",
    "    y_ = gp.marginal_likelihood(\"y\", X=X, y=y, noise=σ)\n",
    "    \n",
    "    mp = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:13:02.780531Z",
     "start_time": "2017-09-04T05:13:02.747697Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Parameter</th>\n",
       "      <th>True value</th>\n",
       "      <th>Value at MAP</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ℓ</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.004619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>η</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.488940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>σ</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.904490</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Parameter  True value  Value at MAP\n",
       "0         ℓ         1.0      1.004619\n",
       "1         η         3.0      3.488940\n",
       "2         σ         2.0      1.904490"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# collect the results into a pandas dataframe to display\n",
    "# \"mp\" stands for marginal posterior\n",
    "pd.DataFrame({\"Parameter\": [\"ℓ\", \"η\", \"σ\"], \n",
    "              \"Value at MAP\": [float(mp[\"ℓ\"]), float(mp[\"η\"]), float(mp[\"σ\"])],\n",
    "              \"True value\": [ℓ_true, η_true, σ_true]})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The MAP values are close to their true values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using `.conditional`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:14:54.499149Z",
     "start_time": "2017-09-04T05:13:02.782161Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2000/2000 [01:05<00:00, 30.74it/s]\n"
     ]
    }
   ],
   "source": [
    "# new values from x=0 to x=20\n",
    "X_new = np.linspace(0, 20, 600)[:,None]\n",
    "\n",
    "# add the GP conditional to the model, given the new X values\n",
    "with model:\n",
    "    f_pred = gp.conditional(\"f_pred\", X_new)\n",
    "\n",
    "# To use the MAP values, you can just replace the trace with a length-1 list with `mp`\n",
    "with model:\n",
    "    pred_samples = pm.sample_ppc([mp], vars=[f_pred], samples=2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:14:57.904355Z",
     "start_time": "2017-09-04T05:14:54.505114Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sLlPPyIVQJAnJzi7B8jJeFILJISkFOcoOtnT5fd7zUc22VBbusj1e6JJt7VK4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9RxS3N6AxN++37QnxTg9nGqO3c+Gb7Y387X1r4RGM7OqOtLfuLP/AmOHn/I9M57jGdb7qfKWRUS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\nTWR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Sy4hNDLPPe139et+7qjLzLmfzH+dmZnXPQAiYN6/nuX8R1RVdVTfzLifv/Z7v+f6+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CzV5z565l6O95fks40n+KWj0aZjY+WyuKtRhTuSSUtGF7EZP/frjcgfnOwPWqI6Wa9zqDq1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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1194345c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "\n",
    "# plot the samples from the gp posterior with samples and shading\n",
    "from pymc3.gp.util import plot_gp_dist\n",
    "plot_gp_dist(ax, pred_samples[\"f_pred\"], X_new);\n",
    "\n",
    "# plot the data and the true latent function\n",
    "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n",
    "plt.plot(X, y, 'ok', ms=3, alpha=0.5, label=\"Observed data\");\n",
    "\n",
    "# axis labels and title\n",
    "plt.xlabel(\"X\"); plt.ylim([-13,13]);\n",
    "plt.title(\"Posterior distribution over $f(x)$ at the observed values\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The prediction also matches the results from `gp.Latent` very closely.  What about predicting new data points?  Here we only predicted $f_*$, not $f_*$ + noise, which is what we actually observe.\n",
    "\n",
    "The `conditional` method of `gp.Marginal` contains the flag `pred_noise` whose default value is `False`.  To draw from the *posterior predictive* distribution, we simply set this flag to `True`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:16:37.290226Z",
     "start_time": "2017-09-04T05:14:57.906373Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2000/2000 [01:12<00:00, 27.59it/s]\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    y_pred = gp.conditional(\"y_pred\", X_new, pred_noise=True)\n",
    "    y_samples = pm.sample_ppc([mp], vars=[y_pred], samples=2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:16:40.545932Z",
     "start_time": "2017-09-04T05:16:37.321425Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qmGfZMAxjiiM+XomqiiiQqHHYiSFSQz7XQlHkq2dGGUVznmWonENGFI5VL7dO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3dz+/O2cdYzq/TLXi4sa9p7w3otGRHsYNuUt7YtQdswos8yGPw8klJHN+v4o87yeSOuHD9VIHWZ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ecUf+bpddqNuWv5w7lz+0ljWvree1UUE+zHliVoMzMH7Yb4f3Dtun4Z/+icUvDknGErGLG6Rk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w3aZGF8BGSUWYbOOQLFPBHKgpAbgx7sBiCMHbBCGiCLlixoY3ZpPImJd3NaYEeTrzRgpddY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\nkiRJUoP/AVc/her2auL9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114349b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "\n",
    "# posterior predictive distribution\n",
    "plot_gp_dist(ax, y_samples[\"y_pred\"], X_new, plot_samples=False, palette=\"bone_r\");\n",
    "\n",
    "# overlay a scatter of one draw of random points from the \n",
    "#   posterior predictive distribution\n",
    "plt.plot(X_new, y_samples[\"y_pred\"][800, :].T, \"co\", ms=2, label=\"Predicted data\");\n",
    "\n",
    "# plot original data and true function\n",
    "plt.plot(X, y, 'ok', ms=3, alpha=1.0, label=\"observed data\");\n",
    "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"true f\");\n",
    "\n",
    "plt.xlabel(\"x\"); plt.ylim([-13,13]);\n",
    "plt.title(\"posterior predictive distribution, y_*\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-07T22:22:33.216443Z",
     "start_time": "2017-08-07T22:22:33.210493Z"
    }
   },
   "source": [
    "Notice that the posterior predictive density is wider than the conditional distribution of the noiseless function, and reflects the predictive distribution of the noisy data, which is marked as black dots.  The light colored dots don't follow the spread of the predictive density exactly because they are a single draw from the posterior of the GP plus noise."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using `.predict`\n",
    "\n",
    "We can use the `.predict` method to return the mean and variance given a particular `point`.  Since we used `find_MAP` in this example, `predict` returns the same mean and covariance that the distribution of `.conditional` has.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-04T05:16:41.567782Z",
     "start_time": "2017-09-04T05:16:40.547616Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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BslJK1RUeD7zwAowcCTEx1b039UtOtlb7PitVNjt3SmlUDaa9dJRSqi44ehSu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OAAAL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124b35908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# predict\n",
    "mu, var = gp.predict(X_new, point=mp, diag=True)\n",
    "sd = np.sqrt(var)\n",
    "\n",
    "# draw plot\n",
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "\n",
    "# plot mean and 2σ intervals\n",
    "plt.plot(X_new, mu, 'r', lw=2, label=\"mean and 2σ region\");\n",
    "plt.plot(X_new, mu + 2*sd, 'r', lw=1); plt.plot(X_new, mu - 2*sd, 'r', lw=1);\n",
    "plt.fill_between(X_new.flatten(), mu - 2*sd, mu + 2*sd, color=\"r\", alpha=0.5)\n",
    "\n",
    "# plot original data and true function\n",
    "plt.plot(X, y, 'ok', ms=3, alpha=1.0, label=\"observed data\");\n",
    "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"true f\");\n",
    "\n",
    "plt.xlabel(\"x\"); plt.ylim([-13,13]);\n",
    "plt.title(\"predictive mean and 2σ interval\"); plt.legend();"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "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": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
