{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img width=\"800px\" src=\"../fidle/img/00-Fidle-header-01.svg\"></img>\n",
    "\n",
    "# <!-- TITLE --> [GRAD1] - 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",
    "\n",
    "## Objectives :\n",
    " - To illustrate the iterative approach of a gradient descent\n",
    "\n",
    "## What we're going to do :\n",
    "\n",
    "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",
    "We will calculate a loss function and its gradient.  \n",
    "We will descend this gradient in order to find a minimum value of our loss function.\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",
    "and :  \n",
    "\n",
    "$\\Theta \\leftarrow \\Theta - \\eta \\cdot \\triangledown_\\theta MSE(\\Theta)$\n",
    "\n",
    "where $\\eta$ is the learning rate\n",
    "\n",
    "## Step 1 - Import\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sys\n",
    "\n",
    "from modules.RegressionCooker import RegressionCooker "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2 - Instanciate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "FIDLE 2020 - Regression Cooker\n",
      "Version      : 0.1\n",
      "Run time     : Tuesday 3 March 2020, 18:29:35\n"
     ]
    }
   ],
   "source": [
    "cooker = RegressionCooker()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2 - Get a dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Dataset :"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X shape : (1000000, 1)  Y shape : (1000000, 1)  plot : 1000 points\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                :      mean=   5.003  std=   2.886    min=   0.000    max=  10.000\n",
      "Y                :      mean= 116.083  std=  79.605    min=-216.756    max= 420.169\n"
     ]
    }
   ],
   "source": [
    "X,Y = cooker.get_dataset(1000000)\n",
    "\n",
    "cooker.plot_dataset(X,Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 3 : Data normalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X origine        :      mean=   5.003  std=   2.886    min=   0.000    max=  10.000\n",
      "X normalized     :      mean=  -0.000  std=   1.000    min=  -1.734    max=   1.732\n"
     ]
    }
   ],
   "source": [
    "X_norm     = ( X - X.mean() ) / X.std()\n",
    "Y_norm     = ( Y - Y.mean() ) / Y.std()\n",
    "\n",
    "cooker.vector_infos('X origine',X)\n",
    "cooker.vector_infos('X normalized',X_norm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 4 - Basic descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Basic gradient descent :"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**With :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "with :\n",
      "    epochs = 200\n",
      "    eta    = 0.01\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "**epochs :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    #i   Loss       Gradient         Theta\n",
      "    0  +18.482   -8.362  -1.596   -4.098  +0.016\n",
      "   20   +8.439   -5.583  -1.065   -2.736  +0.276\n",
      "   40   +3.963   -3.727  -0.711   -1.826  +0.449\n",
      "   60   +1.968   -2.488  -0.475   -1.219  +0.565\n",
      "   80   +1.078   -1.661  -0.317   -0.814  +0.643\n",
      "  100   +0.682   -1.109  -0.212   -0.543  +0.694\n",
      "  120   +0.505   -0.740  -0.141   -0.363  +0.729\n",
      "  140   +0.427   -0.494  -0.094   -0.242  +0.752\n",
      "  160   +0.392   -0.330  -0.063   -0.162  +0.767\n",
      "  180   +0.376   -0.220  -0.042   -0.108  +0.777\n",
      "  200   +0.369   -0.147  -0.028   -0.072  +0.784\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "**Visualization :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**Loss :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = cooker.basic_descent(X_norm, Y_norm, epochs=200, eta=0.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5 - Minibatch descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Mini batch gradient descent :"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**With :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "with :\n",
      "    epochs     = 10\n",
      "    batchs     = 20\n",
      "    batch size = 10\n",
      "    eta        = 0.01\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "**epochs :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    #i   Loss       Gradient         Theta\n",
      "    0   +0.190   -0.713  -0.029   -0.201  +0.793\n",
      "    1   +0.427   +0.562  +0.808   -0.072  +0.802\n",
      "    2   +0.313   -6.245  +7.659   -0.010  +0.751\n",
      "    3   +0.469   +5.487  +2.930   -0.050  +0.756\n",
      "    4   +1.017   -1.594  -2.835   -0.046  +0.784\n",
      "    5   +0.148   -2.095  -1.103   -0.027  +0.795\n",
      "    6   +0.186   +2.789  +2.483   -0.024  +0.773\n",
      "    7   +0.477   -0.149  -1.772   -0.024  +0.791\n",
      "    8   +0.652  +12.087  -0.659   -0.017  +0.793\n",
      "    9   +0.351   -0.062  +2.956   -0.016  +0.791\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "**Visualization :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**Loss :**  "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = cooker.minibatch_descent(X_norm, Y_norm, epochs=10, batchs=20, batch_size=10, eta=0.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "<img width=\"80px\" src=\"../fidle/img/00-Fidle-logo-01.svg\"></img>"
   ]
  }
 ],
 "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
}