{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# An introduction to Gaussian process regression\n",
    "<b>Developed by</b> Elias Anderssen Dalan <a href=\"mailto:ceadyy@gmail.com\">✉️</a>, supported by Centre for Computing in Science Education and Hylleraas Centre for Quantum Molecular Sciences."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Things you might need to know before tackling this notebook:\n",
    "<ul>\n",
    "  <li><a href=\"https://audunsh.github.io/openworld/polynomial_regression/\">Notebook on polynomial regression </a></li>\n",
    "  <li><a href=\"https://audunsh.github.io/openworld/Covariance/\">Notebook on covariance</a></li>\n",
    "  <li><a href=\"https://audunsh.github.io/openworld/Kernels/\">Notebook on kernels</a></li>\n",
    "</ul>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A major problem when doing regression on some dataset where the corresponding output does not necessarily have a closed form (ex. a quadratic function) is choosing the appropriate approximation. As mentioned in the notebook about polynomial regression each model carries with them an inductive bias. Gaussian process regression (GPR) is a versatile type of regression, which lets go of many restrictions by letting the data speak more for itself.\n",
    "\n",
    "The principle assumption of Gaussian procceses (GPs) is that our data is distributed as a multivariate Gaussian distribution. This might seem odd at first, but this means that we are not only able to obtain a prediction, but also the uncertainty of our model! This is extremely valuable when doing any sort of research where error estimates are important, like when modeling a chemical system or making stock predictions. \n",
    "\n",
    "This notebook will show you how to use btjenesten's gpr module to create a regressor, and how to use it to predict a function created from some training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from btjenesten import gpr\n",
    "from btjenesten import kernels as knls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_pred = np.linspace(-5, 5, 200) #x-values where regressor and true function should be evaluated (for plotting purposes)\n",
    "x_train = np.linspace(-5, 5, 13) #x-values where regressor should be trained\n",
    "\n",
    "f = lambda x: np.exp(-(x-1)**2) + np.exp(-(x+1)**2)\n",
    "\n",
    "x_train_gpr = x_train.reshape(-1, 1) #The data is one-dimensional, so it has to be reshaped\n",
    "y_train_gpr = f(x_train_gpr)\n",
    "\n",
    "regressor = gpr.Regressor(x_train_gpr, y_train_gpr) #Fitting the regressor to the training data\n",
    "\n",
    "y_pred, variance = regressor.predict(x_pred, return_variance=True) #Using the regressor to predict y-values and variances\n",
    "\n",
    "std = np.sqrt(variance) #"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 19000x6000 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(19, 6), dpi=1000)\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.title(\"True function\")\n",
    "plt.plot(x_pred, f(x_pred), color=\"black\", label=\"f(x)\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.title(\"Datapoints measured\")\n",
    "plt.scatter(x_train, f(x_train), color=\"red\", label=\"Measured data\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.title(\"Predicted function\")\n",
    "plt.plot(x_pred, y_pred, color=\"yellow\", label=\"Predicted f(x)\")\n",
    "plt.scatter(x_train, f(x_train), color=\"red\", label=\"Measured points\", zorder=10)\n",
    "plt.plot(x_pred, f(x_pred), linewidth=4, label=\"f(x)\", zorder=-10, color=\"black\")\n",
    "plt.fill_between(x_pred, y_pred - std, y_pred + std, alpha=.4, label=\"Predicted f(x)$\\pm$ std\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A closer look at the predicted function and the error between our predicted function and the true $f(x)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 7))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"Predicted function\")\n",
    "plt.plot(x_pred, y_pred, color=\"blue\", label=\"Predicted f(x)\")\n",
    "plt.scatter(x_train, f(x_train), color=\"red\", label=\"Measured points\", zorder=10)\n",
    "plt.fill_between(x_pred, y_pred - std, y_pred + std, alpha=.5, label=\"Predicted f(x)$\\pm$ std\", color=\"orange\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.title(\"Error of the model function\")\n",
    "y_train_pred = regressor.predict(x_train)\n",
    "y_train_true = f(x_train)\n",
    "plt.plot(x_pred, y_pred - f(x_pred), label=\"Predicted f(x) - true f(x)\")\n",
    "plt.scatter(x_train, y_train_pred - y_train_true, color=\"red\", label=\"Measured points\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}