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    "![header1](../fidle/img/00-Fidle-header-01.png)\n",
    "\n",
    "# <!-- TITLE --> Linear regression with gradient descent\n",
    "<!-- DESC --> An example of gradient descent in the simple case of a linear regression.\n",
    "<!-- AUTHOR : Jean-Luc Parouty (CNRS/SIMaP) -->\n",
    "\n",
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    "\n",
    "## Objectives :\n",
    " - To illustrate the iterative approach of a gradient descent\n",
    "\n",
    "## What we're going to do :\n",
    "\n",
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    "Equation : $ Y = X.\\theta + N$  \n",
    "Where N is a noise vector\n",
    "and $\\theta = (a,b)$ a vector as y = a.x + b\n",
    "\n",
    "## Step 1 - Import and init\n"
   ]
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   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
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      "\n",
      "FIDLE 2020 - Practical Work Module\n",
      "Version              : 0.2.9\n",
      "Run time             : Tuesday 18 February 2020, 17:19:03\n",
      "TensorFlow version   : 2.0.0\n",
      "Keras version        : 2.2.4-tf\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import random\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import sys\n",
    "\n",
    "sys.path.append('..')\n",
    "import fidle.pwk as ooo\n",
    "\n",
    "ooo.init()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2 - About data normalization\n",
    " \n",
    "This is done by subtracting the **mean** and dividing by **standard deviation**.  \n",
    "This gives a zero dispersion and a standard deviation of 1.  \n",
    "\n",
    "The formula is : $X_{std}^{j}=\\frac{X_{j}-\\overline{X}_j}{\\sigma_j}$  \n",
    "\n",
    "Avec : $\\sigma_j=\\sqrt{\\frac{1}{n}\\sum_{i=1}^n\\left(X_{ij}-\\overline{X}_j\\right)^2}\n",
    "=\\sqrt{\\frac{1}{n}\\left(\\sum_{i=1}^n X_{ij}^2\\right)-\\overline{X}_j^2}$\n",
    "\n",
    "Example :"
   ]
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   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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     "name": "stdout",
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     "text": [
      "\n",
      "X [[6.90599018]\n",
      " [6.10824767]\n",
      " [6.34667583]]: \n",
      "\n",
      "Mean = [6.45363789]  Std = [0.33434408]\n",
      "\n",
      "X [[6.90599018]\n",
      " [6.10824767]\n",
      " [6.34667583]]: \n",
      "\n",
      "Mean = [9.25185854e-16]  Std = [1.]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "X = np.random.uniform(-5,10,(3,1))\n",
    "m = X.mean(axis=0)\n",
    "s = X.std(axis=0)\n",
    "print(f\"\\nX {X}: \\n\\nMean = {m}  Std = {s}\")\n",
    "\n",
    "X_norm = (X - X.mean(axis=0)) / X.std(axis=0)\n",
    "m = X_norm.mean(axis=0)\n",
    "s = X_norm.std(axis=0)\n",
    "print(f\"\\nX {X}: \\n\\nMean = {m}  Std = {s}\")"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 3 - A little bit of math.\n",
    "Le gradient de la fonction de coût $MSE(\\theta)$ est :  \n",
    "\n",
    "$\\frac{\\partial MSE}{\\partial a}=\\frac2n\\sum_{i=1}^n\\left[\n",
    "a \\cdot x_i + b - y_i\n",
    "\\right] \\cdot x_i\n",
    "$\n",
    "\n",
    "et \n",
    "\n",
    "$\n",
    "\\frac{\\partial MSE}{\\partial b}=\\frac2n\\sum_{i=1}^n\\left[\n",
    "a \\cdot x_i + b - y_i\n",
    "\\right]\n",
    "$\n",
    "\n",
    "La modification de a et b se fait ensuite par pas progressif, avec $\\eta$ appelé **taux d'apprentissage** :  \n",
    "\n",
    "$a \\leftarrow a - \\eta \\cdot \\frac{\\partial MSE}{\\partial a}$\n",
    "\n",
    "$b \\leftarrow b - \\eta \\cdot \\frac{\\partial MSE}{\\partial b}$\n",
    "\n",
    "Formulation **vectorielle**, avec **n dimensions** :\n",
    "\n",
    "$\n",
    "\\triangledown_\\theta MSE(\\Theta)=\\begin{bmatrix}\n",
    "\\frac{\\partial}{\\partial \\theta_0}MSE(\\Theta)\\\\\n",
    "\\frac{\\partial}{\\partial \\theta_1}MSE(\\Theta)\\\\\n",
    "\\vdots\\\\\n",
    "\\frac{\\partial}{\\partial \\theta_n}MSE(\\Theta)\n",
    "\\end{bmatrix}=\\frac2m X^T\\cdot(X\\cdot\\Theta-Y)\n",
    "$  \n",
    "\n",
    "et :  \n",
    "\n",
    "$\\Theta \\leftarrow \\Theta - \\eta \\cdot \\triangledown_\\theta MSE(\\Theta)$\n",
    "\n",
    "Notes : \n",
    "- https://matthewebmckenna.com/posts/2017/05/gradient-descent-linear-regression  \n",
    "- https://eli.thegreenplace.net/2016/linear-regression/  \n",
    "\n",
    "Exemples : \n",
    "- https://github.com/eliben/deep-learning-samples/blob/master/linear-regression/multiple_linear_regression.py\n"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 4 - Preparation of learning data :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "#### Before normalization :"
      ],
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     "text": [
      "Nombre de points : 1000000  a=25 b=-1 bruit=20\n",
      "Données d'aprentissage brute :\n",
      "(1000 points visibles sur 1000000)\n"
     ]
    },
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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X        :      mean=     +4.9982  std=     +2.8858    min=     +0.0000    max=    +10.0000\n",
      "Y        :      mean=   +123.9195  std=    +74.8698    min=    -81.9896    max=   +323.4212\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "#### After normalization :"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Données d'aprentissage normalisées :\n",
      "(1000 points visibles sur 1000000)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_norm   :      mean=     +0.0000  std=     +1.0000    min=     -1.7320    max=     +1.7333\n",
      "Y_norm   :      mean=     +0.0000  std=     +1.0000    min=     -2.7502    max=     +2.6646\n"
     ]
    }
   ],
   "source": [
    "# ---- Paramètres du jeu d'apprentissage ----------------\n",
    "\n",
    "n         = 1000000     # Nombre d'observations avec y = a.x + b\n",
    "\n",
    "xob_min   = 0      # x min and max\n",
    "xob_max   = 10\n",
    "\n",
    "a_min     = -30     # a min and max\n",
    "a_max     =  30\n",
    "b_min     = -10     # b min and max\n",
    "b_max     =  10\n",
    "\n",
    "noise_min =  10     # noise min and max\n",
    "noise_max =  50\n",
    "\n",
    "a0    = random.randint(a_min,a_max)       \n",
    "b0    = random.randint(b_min,b_max)       \n",
    "noise = random.randint(noise_min,noise_max)\n",
    "\n",
    "# ---- Construction du jeu d'apprentissage ---------------\n",
    "#      X,Y              : données brutes\n",
    "#      X_norm,Y_norm    : données normaliseés\n",
    "\n",
    "X = np.random.uniform(xob_min,xob_max,(n,1))\n",
    "# N = np.random.uniform(-noise,noise,(n,1))\n",
    "N = noise * np.random.normal(0,1,(n,1))\n",
    "\n",
    "Y = a0*X + b0 + N\n",
    "\n",
    "x_min= X.min()\n",
    "x_max= X.max()\n",
    "y_min= Y.min()\n",
    "y_max= Y.max()\n",
    "\n",
    "# ---- Normalisation des données --------------------------\n",
    "#\n",
    "def vector_infos(name,V):\n",
    "    m=V.mean(axis=0).item()\n",
    "    s=V.std(axis=0).item()\n",
    "    print(\"{:8} :      mean={:+12.4f}  std={:+12.4f}    min={:+12.4f}    max={:+12.4f}\".format(name,m,s,V.min(),V.max()))\n",
    "\n",
    "X_norm = (X - X.mean(axis=0)) / X.std(axis=0)\n",
    "x_norm_min= X_norm.min()\n",
    "x_norm_max= X_norm.max()\n",
    "\n",
    "Y_norm = (Y - Y.mean(axis=0)) / Y.std(axis=0)\n",
    "y_norm_min= Y_norm.min()\n",
    "y_norm_max= Y_norm.max()\n",
    "\n",
    "# ---- Visualisation des données --------------------------\n",
    "\n",
    "width = 12\n",
    "height = 6\n",
    "nb_viz = min(1000,n)\n",
    "\n",
    "ooo.display_md('#### Before normalization :')\n",
    "print(f\"Nombre de points : {n}  a={a0} b={b0} bruit={noise}\")\n",
    "\n",
    "print(\"Données d'aprentissage brute :\")\n",
    "print(f\"({nb_viz} points visibles sur {n})\")\n",
    "plt.figure(figsize=(width, height))\n",
    "plt.plot(X[:nb_viz], Y[:nb_viz], '.')\n",
    "plt.show()\n",
    "vector_infos('X',X)\n",
    "vector_infos('Y',Y)\n",
    "\n",
    "ooo.display_md('#### After normalization :')\n",
    "print(\"Données d'aprentissage normalisées :\")\n",
    "print(f\"({nb_viz} points visibles sur {n})\")\n",
    "plt.figure(figsize=(width, height))\n",
    "plt.plot(X_norm[:nb_viz], Y_norm[:nb_viz], '.')\n",
    "plt.show()\n",
    "vector_infos('X_norm',X_norm)\n",
    "vector_infos('Y_norm',Y_norm)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5 - Ordinary gradient descent\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " #i    Loss       Gradient          Theta\n",
      "  0   +8.564   -5.500  -1.927   -2.750  +0.000\n",
      " 20   +3.129   -3.300  -1.156   -1.650  +0.385\n",
      " 40   +1.172   -1.980  -0.694   -0.990  +0.617\n",
      " 60   +0.468   -1.188  -0.416   -0.594  +0.755\n",
      " 80   +0.214   -0.713  -0.250   -0.356  +0.839\n",
      "100   +0.123   -0.428  -0.150   -0.214  +0.889\n",
      "120   +0.090   -0.257  -0.090   -0.128  +0.919\n",
      "140   +0.078   -0.154  -0.054   -0.077  +0.937\n",
      "160   +0.074   -0.092  -0.032   -0.046  +0.947\n",
      "180   +0.072   -0.055  -0.019   -0.028  +0.954\n",
      "200   +0.072   -0.033  -0.012   -0.017  +0.958\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ---- Settings\n",
    "\n",
    "n_iterations   = 200     # Nombre d'itérations\n",
    "eta            = 0.2    # taux d’apprentissage\n",
    "\n",
    "# ---- Initialization\n",
    "\n",
    "theta = np.array([[y_norm_min],[0]])\n",
    "X_b = np.c_[np.ones((n, 1)), X_norm]\n",
    "\n",
    "# ---- Visualization\n",
    "\n",
    "Xd = np.array([[x_norm_min], [x_norm_max]])\n",
    "\n",
    "plt.figure(figsize=(width, height))\n",
    "plt.plot(X_norm[:nb_viz], Y_norm[:nb_viz], '.')\n",
    "nl=0\n",
    "\n",
    "# ---- Training\n",
    "\n",
    "print( \" #i    Loss       Gradient          Theta\")\n",
    "for i in range(n_iterations+1):\n",
    " \n",
    "    gradient = (2/n) * X_b.T @ ( X_b @ theta - Y_norm)\n",
    "    mse = ((X_b @ theta - Y_norm)**2).mean(axis=None)\n",
    "    \n",
    "    if (i % (n_iterations/10))==0:\n",
    "        nl+=1\n",
    "        Yd = Xd * theta.item(1) + theta.item(0)\n",
    "        plt.plot(Xd, Yd, color=(1.,0.4,0.3,nl/11))\n",
    "        print(\"{:3d}  {:+7.3f}  {:+7.3f} {:+7.3f}  {:+7.3f} {:+7.3f}\".format(i,mse,gradient.item(0),gradient.item(1),theta.item(0),theta.item(1)))\n",
    "\n",
    "        theta = theta - eta * gradient\n",
    "        \n",
    "# ---- Visualization\n",
    "\n",
    "plt.tick_params(axis='both', which='both', bottom=False, left=False, labelbottom=False, labelleft=False)\n",
    "plt.xlabel('x axis')\n",
    "plt.ylabel('y axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 6 - Stochastic gradient descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "theta:  a=     +0.0000 b=     -2.7502\n",
      "theta:  a=     +0.9370 b=     -0.0413\n",
      "theta:  a=     +1.0563 b=     -0.0384\n",
      "theta:  a=     +0.9491 b=     -0.0708\n",
      "theta:  a=     +1.1059 b=     -0.0765\n",
      "theta:  a=     +1.0461 b=     -0.0921\n",
      "theta:  a=     +1.0327 b=     -0.1740\n",
      "theta:  a=     +0.8391 b=     +0.0078\n",
      "theta:  a=     +1.0168 b=     -0.1202\n",
      "theta:  a=     +0.8879 b=     +0.0334\n",
      "theta:  a=     +0.8231 b=     +0.2508\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ---- Settings\n",
    "\n",
    "n_epochs     = 10     # Nombre d'epoques\n",
    "n_iterations = 20   # Nombre de tirage au sort\n",
    "\n",
    "# ---- Visualization\n",
    "\n",
    "Xd = np.array([[x_norm_min], [x_norm_max]])\n",
    "\n",
    "plt.figure(figsize=(width, height))\n",
    "plt.plot(X_norm[:nb_viz], Y_norm[:nb_viz], '.')\n",
    "nl=0\n",
    "\n",
    "def draw_theta(theta,alpha):\n",
    "    Yd = Xd * theta.item(1) + theta.item(0)\n",
    "    plt.plot(Xd, Yd, color=(1.,0,0,alpha))\n",
    "    print(\"theta:  a={:+12.4f} b={:+12.4f}\".format(theta.item(1),theta.item(0)))\n",
    "\n",
    "# ---- Training\n",
    "\n",
    "def learning_schedule(t):\n",
    "    return 5 / (t + 40)\n",
    "\n",
    "X_b = np.c_[np.ones((n, 1)), X_norm]\n",
    "\n",
    "theta = np.array([[y_norm_min],[0]])\n",
    "\n",
    "for epoch in range(n_epochs):\n",
    "    \n",
    "    if epoch % int(n_epochs/9)==0 :\n",
    "        draw_theta(theta,0.2)\n",
    "\n",
    "    for i in range(n_iterations):\n",
    "    \n",
    "        random_index = np.random.randint(n)\n",
    "        \n",
    "        xi = X_b[random_index:random_index+1]\n",
    "        yi = Y_norm[random_index:random_index+1]\n",
    "\n",
    "        gradients = 2 * xi.T.dot(xi.dot(theta) - yi)\n",
    "        eta = learning_schedule(epoch * m + i)\n",
    "        theta = theta - eta * gradients\n",
    "\n",
    "draw_theta(theta,1)\n",
    "\n",
    "plt.tick_params(axis='both', which='both', bottom=False, left=False, labelbottom=False, labelleft=False)\n",
    "plt.xlabel('x axis')\n",
    "plt.ylabel('y axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "![](../fidle/img/00-Fidle-logo-01_s.png)"
   ]
  }
 ],
 "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}