{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sparse Approximations\n",
    "\n",
    "\n",
    "The `gp.MarginalSparse` class implements sparse, or inducing point, GP approximations.  It works identically to `gp.Marginal`, except it additionally requires the locations of the inducing points (denoted `Xu`), and it accepts the argument `sigma` instead of `noise` because these sparse approximations assume white IID noise.\n",
    "\n",
    "Three approximations are currently implemented, FITC, DTC and VFE.  For most problems, they produce fairly similar results.  These GP approximations don't form the full covariance matrix over all $n$ training inputs.  Instead they rely on $m < n$ *inducing points*, which are \"strategically\" placed throughout the domain.  Both of these approximations reduce the $\\mathcal{O(n^3)}$ complexity of GPs down to $\\mathcal{O(nm^2)}$ --- a significant speed up.  The memory requirements scale down a bit too, but not as much.  They are commonly referred to as *sparse* approximations, in the sense of being data sparse.  The downside of sparse approximations is that they reduce the expressiveness of the GP.  Reducing the dimension of the covariance matrix effectively reduces the number of covariance matrix eigenvectors that can be used to fit the data.  \n",
    "\n",
    "A choice that needs to be made is where to place the inducing points.  One option is to use a subset of the inputs.  Another possibility is to use K-means.  The location of the inducing points can also be an unknown and optimized as part of the model.  These sparse approximations are useful for speeding up calculations when the density of data points is high and the lengthscales is larger than the separations between inducing points. \n",
    "\n",
    "For more information on these approximations, see [Quinonero-Candela+Rasmussen, 2006](http://www.jmlr.org/papers/v6/quinonero-candela05a.html) and [Titsias 2009](https://pdfs.semanticscholar.org/9c13/b87b5efb4bb011acc89d90b15f637fa48593.pdf)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examples\n",
    "\n",
    "For the following examples, we use the same data set as was used in the `gp.Marginal` example, but with more data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:33:52.801767Z",
     "start_time": "2017-08-28T03:33:52.079385Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pymc3 as pm\n",
    "\n",
    "import theano\n",
    "import theano.tensor as tt\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:34:37.358690Z",
     "start_time": "2017-08-28T03:34:29.708517Z"
    }
   },
   "outputs": [
    {
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AYEJ2Ml5FkFdffZWXXnqJzMxMWlpaWLt2bYS33OPx4Ha7OXjwIBkZGRFVVGK1PdW2PRmx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3yn6kvUITDY20mv08U7TbDGIGt0LueZdlzbt29PyETyjy7pZuKSZYkSZVMUffHfRzzYemO/v3kG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\nyDAJsoUQQgghhMgwCbKFEEIIIYTIsP8f8hJjPRLocZYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21dc6b4278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set the seed\n",
    "np.random.seed(1)\n",
    "\n",
    "n = 2000 # The number of data points\n",
    "X = 10*np.sort(np.random.rand(n))[:,None]\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": "markdown",
   "metadata": {},
   "source": [
    "### Initializing the inducing points with K-means\n",
    "\n",
    "We use the NUTS sampler and the `FITC` approximation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:39:03.184846Z",
     "start_time": "2017-08-28T03:34:44.700386Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using advi+adapt_diag...\n",
      "Average Loss = 4,339.1:   5%|▌         | 10591/200000 [02:00<41:40, 75.74it/s] \n",
      "Convergence archived at 10600\n",
      "Interrupted at 10,600 [5%]: Average Loss = 4,654.4\n",
      "100%|██████████| 1500/1500 [02:09<00:00, 10.48it/s]/home/bill/pymc3/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.878845019249, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "\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.MarginalSparse(cov_func=cov, approx=\"FITC\")\n",
    "\n",
    "    # initialize 20 inducing points with K-means\n",
    "    # gp.util \n",
    "    Xu = pm.gp.util.kmeans_inducing_points(20, X)\n",
    "    \n",
    "    σ = pm.HalfCauchy(\"σ\", beta=5)\n",
    "    y_ = gp.marginal_likelihood(\"y\", X=X, Xu=Xu, y=y, sigma=σ)\n",
    "    \n",
    "    trace = pm.sample(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:39:47.274502Z",
     "start_time": "2017-08-28T03:39:03.193266Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:43<00:00, 20.15it/s]\n"
     ]
    }
   ],
   "source": [
    "X_new = np.linspace(-1, 11, 200)[:,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(trace, vars=[f_pred], samples=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:42:00.274968Z",
     "start_time": "2017-08-28T03:41:59.288053Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5cU+pLex8HjudIbSkeb6bMi4ilgVBEARBmDEhWash52pZxC82tNbkh4ax0iMEm5rmuzkT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GyM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\nw/8HEMCCvfYJUjcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21af81bda0>"
      ]
     },
     "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, y, 'ok', ms=3, alpha=0.5, label=\"Observed data\");\n",
    "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n",
    "plt.plot(Xu, 10*np.ones(Xu.shape[0]), \"cx\", ms=10, label=\"Inducing point locations\")\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": [
    "### Optimizing inducing point locations as part of the model\n",
    "\n",
    "For demonstration purposes, we set `approx=\"VFE\"`.  Any inducing point initialization can be done with any approximation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:40:02.849751Z",
     "start_time": "2017-08-28T03:39:48.421441Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "lp = -4,298.1, ||grad|| = 2.834e-05:   0%|          | 116/50000 [00:01<10:36, 78.36it/s] \n"
     ]
    }
   ],
   "source": [
    "Xu_init = 10*np.random.rand(20)\n",
    "\n",
    "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.MarginalSparse(cov_func=cov, approx=\"VFE\")\n",
    "   \n",
    "    # set flat prior for Xu\n",
    "    Xu = pm.Flat(\"Xu\", shape=20, testval=Xu_init)\n",
    "    \n",
    "    σ = pm.HalfCauchy(\"σ\", beta=5)\n",
    "    y_ = gp.marginal_likelihood(\"y\", X=X, Xu=Xu[:, None], y=y, sigma=σ)\n",
    "    \n",
    "    mp = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:41:56.410281Z",
     "start_time": "2017-08-28T03:41:54.841763Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mhRdeIC8vzzzOVtIpH3NbWUXS6Rg0hEwdt9D+sM5p9vu4uLiYRYsWAVBcXMwR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\nVvtDeno6999/P4CW5V8dDObyn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hC12Wy43W6gqOHpcrlwOBxaEqHNZuOaa67B5XJpxw0J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\nULIsIiIiIhLC/wFwV/VhNEczzgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21af36f5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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",
    "Xu = mp[\"Xu\"]\n",
    "plt.plot(Xu, 10*np.ones(Xu.shape[0]), \"cx\", ms=10, label=\"Inducing point locations\")\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 [default]",
   "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": "3.5.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
