Skip to content
Snippets Groups Projects
02-Gradient-descent.ipynb 240 KiB
Newer Older
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img width=\"800px\" src=\"../fidle/img/00-Fidle-header-01.svg\"></img>\n",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    "\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",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    "\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",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    "Where N is a noise vector\n",
    "and $\\Theta = (a,b)$ a vector as y = a.x + b\n",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    "\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 and init\n"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       "\n",
       "div.warn {    \n",
       "    background-color: #fcf2f2;\n",
       "    border-color: #dFb5b4;\n",
       "    border-left: 5px solid #dfb5b4;\n",
       "    padding: 0.5em;\n",
       "    font-weight: bold;\n",
       "    font-size: 1.1em;;\n",
       "    }\n",
       "\n",
       "\n",
       "\n",
       "div.nota {    \n",
       "    background-color: #DAFFDE;\n",
       "    border-left: 5px solid #92CC99;\n",
       "    padding: 0.5em;\n",
       "    }\n",
       "\n",
       "div.todo:before { content:url(data:image/svg+xml;base64,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);\n",
       "    float:left;\n",
       "    margin-right:20px;\n",
       "    margin-top:-20px;\n",
       "    margin-bottom:20px;\n",
       "}\n",
       "div.todo{\n",
       "    font-weight: bold;\n",
       "    font-size: 1.1em;\n",
       "    margin-top:40px;\n",
       "}\n",
       "div.todo ul{\n",
       "    margin: 0.2em;\n",
       "}\n",
       "div.todo li{\n",
       "    margin-left:60px;\n",
       "    margin-top:0;\n",
       "    margin-bottom:0;\n",
       "}\n",
       "\n",
       "div .comment{\n",
       "    font-size:0.8em;\n",
       "    color:#696969;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "</style>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**FIDLE 2020 - Practical Work Module**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Version              : 0.6.1 DEV\n",
      "Notebook id          : GRAD1\n",
      "Run time             : Wednesday 16 December 2020, 17:11:22\n",
      "TensorFlow version   : 2.0.0\n",
      "Keras version        : 2.2.4-tf\n",
      "Datasets dir         : ~/datasets/fidle\n",
      "Update keras cache   : False\n",
      "Save figs            : True\n",
      "Path figs            : ./run/figs\n"
    },
    {
     "data": {
      "text/markdown": [
       "<br>**FIDLE 2020 - Regression Cooker**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Version      : 0.1\n",
      "Run time     : Wednesday 16 December 2020, 17:11:22\n"
    "import numpy as np\n",
    "import sys\n",
    "\n",
    "sys.path.append('..')\n",
    "import fidle.pwk as pwk\n",
    "\n",
    "from modules.RegressionCooker import RegressionCooker \n",
    "\n",
    "# ---- Init Fidle stuffs\n",
    "#\n",
    "datasets_dir = pwk.init('GRAD1')\n",
    "\n",
    "# ---- Instanciate a Regression Cooker\n",
    "#\n",
    "cooker = RegressionCooker(pwk)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2 - Get a dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Dataset :"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X shape : (1000000, 1)  Y shape : (1000000, 1)  plot : 1000 points\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div class=\"comment\">Saved: ./run/figs/GRAD1-01-dataset</div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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=   5.004  std=   2.886    min=   0.000    max=  10.000\n",
      "Y                :      mean=-112.002  std=  77.303    min=-425.770    max= 188.861\n"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     ]
    }
   ],
   "source": [
    "X,Y = cooker.get_dataset(1000000)\n",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    "\n",
    "cooker.plot_dataset(X,Y)"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 3 : Data normalization"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X origine        :      mean=   5.004  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"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     ]
    }
   ],
   "source": [
    "X_norm     = ( X - X.mean() ) / X.std()\n",
    "Y_norm     = ( Y - Y.mean() ) / Y.std()\n",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    "\n",
    "cooker.vector_infos('X origine',X)\n",
    "cooker.vector_infos('X normalized',X_norm)"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 4 - Basic descent"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Basic gradient descent :"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**With :**  "
      ],
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      "text/plain": [
       "<IPython.core.display.Markdown object>"
     "metadata": {},
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "with :\n",
      "    epochs = 200\n",
      "    eta    = 0.01\n"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     ]
    },
    {
     "data": {
      "text/markdown": [
       "**epochs :**  "
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    #i   Loss       Gradient         Theta\n",
      "    0  +17.475   -8.118  +1.568   -3.978  -0.016\n",
      "   20   +8.002   -5.420  +1.047   -2.656  -0.271\n",
      "   40   +3.780   -3.618  +0.699   -1.773  -0.442\n",
      "   60   +1.899   -2.416  +0.467   -1.184  -0.555\n",
      "   80   +1.060   -1.613  +0.311   -0.790  -0.631\n",
      "  100   +0.686   -1.077  +0.208   -0.528  -0.682\n",
      "  120   +0.519   -0.719  +0.139   -0.352  -0.716\n",
      "  140   +0.445   -0.480  +0.093   -0.235  -0.739\n",
      "  160   +0.412   -0.320  +0.062   -0.157  -0.754\n",
      "  180   +0.397   -0.214  +0.041   -0.105  -0.764\n",
      "  200   +0.391   -0.143  +0.028   -0.070  -0.770\n"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     ]
    },
    {
     "data": {
      "text/markdown": [
       "<br>**Visualization :**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div class=\"comment\">Saved: ./run/figs/GRAD1-02-basic_descent</div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     },
     "metadata": {},
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     "output_type": "display_data"
    },
    {
      "text/html": [
       "<div class=\"comment\">Saved: ./run/figs/GRAD1-03-basic_descent_loss</div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML 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"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    }
   ],
   "source": [
    "theta = cooker.basic_descent(X_norm, Y_norm, epochs=200, eta=0.01)"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5 - Minibatch descent"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   "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"
    },
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "with :\n",
      "    epochs     = 10\n",
      "    batchs     = 20\n",
      "    batch size = 10\n",
      "    eta        = 0.01\n"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     ]
    },
    {
     "data": {
      "text/markdown": [
       "**epochs :**  "
      ],
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      "text/plain": [
       "<IPython.core.display.Markdown object>"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      ]
     },
     "metadata": {},
     "output_type": "display_data"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    #i   Loss       Gradient         Theta\n",
      "    0   +0.313   +3.019  +0.971   +0.071  -0.747\n",
      "    1   +0.229   -4.993  +1.014   -0.033  -0.825\n",
      "    2   +0.210   -0.911  +3.999   -0.022  -0.795\n",
      "    3   +0.237   -1.041  -4.380   -0.022  -0.796\n",
      "    4   +0.339   -1.175  +1.106   -0.002  -0.822\n",
      "    5   +0.937   +3.404  -0.109   +0.011  -0.808\n",
      "    6   +0.460   +5.775  -2.128   +0.025  -0.814\n",
      "    7   +0.717  +10.079  +7.425   +0.004  -0.818\n",
      "    8   +0.584   -6.748  -7.090   +0.005  -0.795\n",
      "    9   +0.622   -1.218  -7.436   -0.001  -0.784\n"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
     ]
    },
    {
     "data": {
      "text/markdown": [
       "<br>**Visualization :**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div class=\"comment\">Saved: ./run/figs/GRAD1-04-minibatch_descent</div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div class=\"comment\">Saved: ./run/figs/GRAD1-05-minibatch_descent_loss</div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML 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"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
    }
   ],
   "source": [
    "theta = cooker.minibatch_descent(X_norm, Y_norm, epochs=10, batchs=20, batch_size=10, eta=0.01)"
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "End time is : Wednesday 16 December 2020, 17:11:26\n",
      "Duration is : 00:00:04 240ms\n",
      "This notebook ends here\n"
     ]
    }
   ],
   "source": [
    "pwk.end()"
   ]
  },
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "<img width=\"80px\" src=\"../fidle/img/00-Fidle-logo-01.svg\"></img>"
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
   ]
  }
 ],
 "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",
Jean-Luc Parouty's avatar
Jean-Luc Parouty committed
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}