{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as scp\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regresion and sum of squares optimisation\n",
    "This exercise will underline how to use the sum of squares to find the optimal parameters to fit a set of datapoints, and then compare to the expected values that can be computed for a linear curve."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load \"data.csv\" and extract the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.13033728  3.90882023  6.8734114   4.45968986  7.04756788  6.10803864\n",
      "  9.30842257  3.60664078  6.92733736 10.59627219]\n"
     ]
    }
   ],
   "source": [
    "data = np.loadtxt(\"data.csv\", delimiter=\",\", skiprows=1, usecols=[1])\n",
    "print(data[:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the data and try to find what type of function would best fit the points. Create such a fit by guessing the parameters and plot it on top of your data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = data.shape[0]\n",
    "x = np.linspace(0,1,N)\n",
    "\n",
    "trial_a = 5\n",
    "trial_b = 4\n",
    "\n",
    "fit = trial_a + trial_b * np.sin(2 * np.pi * x)\n",
    "\n",
    "plt.plot(x, data, marker=\"o\", markersize=2, linewidth=0)\n",
    "plt.plot(x, fit)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the residual and the squared residual for these given parameters. Find the sum for both of these quantities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sum of residual :  -2.2179302281429774\n",
      "Sum of residual squared :  1063.337085641709\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "residual = data - fit\n",
    "square_residual = residual**2\n",
    "print( \"Sum of residual : \", residual.sum() )\n",
    "print( \"Sum of residual squared : \", square_residual.sum() )\n",
    "\n",
    "plt.plot(residual)\n",
    "plt.plot(square_residual)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, by keeping b constant and iterating on possible values of a, plot the sum of squared residuals with respect to a. What is the minimum value ?\n",
    "Repeat this for b by keeping a constant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Value of 'a' that minimizes the squared sum (for b=1) :  5\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Value of 'b' that minimizes the squared sum (for a=1) :  2\n"
     ]
    }
   ],
   "source": [
    "# Constant b, varying a\n",
    "\n",
    "residual_squared_sums = []\n",
    "\n",
    "a_trial = np.arange(-10,10)\n",
    "b = 1\n",
    "\n",
    "for a in a_trial:\n",
    "    trial_fit = a + b * np.sin(2*np.pi*x)\n",
    "    residual_squared_sums.append( ((data - trial_fit)**2).sum() )\n",
    "\n",
    "plt.plot(a_trial, residual_squared_sums)\n",
    "plt.show()\n",
    "print(\"Value of 'a' that minimizes the squared sum (for b=1) : \", a_trial[np.argmin(residual_squared_sums)]  )\n",
    "\n",
    "# Constant a, varying b\n",
    "\n",
    "residual_squared_sums = []\n",
    "\n",
    "a = 1\n",
    "b_trial = np.arange(-10,10)\n",
    "\n",
    "for b in b_trial:\n",
    "    trial_fit = a + b * np.sin(2*np.pi*x)\n",
    "    residual_squared_sums.append( ((data - trial_fit)**2).sum() )\n",
    "\n",
    "plt.plot(b_trial, residual_squared_sums)\n",
    "plt.show()\n",
    "print(\"Value of 'b' that minimizes the squared sum (for a=1) : \", b_trial[np.argmin(residual_squared_sums)]  )\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(Optionnal) An interesting way of visualizing the optimal points and making sure the points are not local minimas is to do a 2D plot of the sum of residuals squared with respect to a and b. This can be done using the `plt.contour(a, b, RSS)` to plot the lines of equal sum, or `plt.contourf(a, b, RSS)` to represent the sum values as a gradient.\n",
    "\n",
    "Find the optimal values of a and b using this technique."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 244,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "residual_squared_sums = []\n",
    "\n",
    "a_trial = np.arange(-10,10)\n",
    "b_trial = np.arange(-10,10)\n",
    "\n",
    "for a in a_trial:\n",
    "    for b in b_trial:\n",
    "        trial = a + b * np.sin(2*np.pi*x)\n",
    "        residual_squared_sums.append( ((data - trial)**2).sum() )\n",
    "\n",
    "residual_squared_sums = np.array(residual_squared_sums).reshape((a_trial.shape[0],b_trial.shape[0]))\n",
    "\n",
    "plt.contourf(a_trial, b_trial, residual_squared_sums, 50)\n",
    "plt.contour(a_trial, b_trial, residual_squared_sums, 50, colors=\"black\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the formulas for the expected values of a and b seen in the lectures, compare your results obtained by iteration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 245,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.977596664362192 2.426570104313553\n"
     ]
    }
   ],
   "source": [
    "z = np.sin(2*np.pi*x)\n",
    "b = ( (z-z.mean())*(data-data.mean()) ).sum() / ( (z-z.mean())**2 ).sum()\n",
    "a = data.mean() - b*z.mean()\n",
    "fit = a + b * z\n",
    "print(a, b)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the Fisher statistic for this fit. Can you say with a confidence level of $\\alpha=0.05$ that this curve fits the points correctly ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 246,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "29.71065870045762\n",
      "Critical F-value :  3.94      (for alpha=0.05, dfM=1, dfE=98)\n"
     ]
    }
   ],
   "source": [
    "# Fisher Stat\n",
    "SSM = ((fit - data.mean())**2).sum()\n",
    "SSE = ((fit - data)**2).sum()\n",
    "\n",
    "dfM = 1\n",
    "dfE = len( data ) - 2\n",
    "\n",
    "MSM = SSM / dfM\n",
    "MSE = SSE / dfE\n",
    "\n",
    "F = MSM / MSE\n",
    "\n",
    "print(F)\n",
    "print(\"Critical F-value : \", 3.94, \"     (for alpha=0.05, dfM=1, dfE=98)\") "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
