{ "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": [ { "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 { 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" 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", "\n", "</style>\n", "\n" ], "text/plain": [ "<IPython.core.display.HTML object>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "FIDLE 2020 - Practical Work Module\n", "Version : 0.7 DEV\n", "Notebook name : 02-Gradient-descent\n", "Run time : Wednesday 9 December 2020, 20:16:56\n", "TensorFlow version : 2.0.0\n", "Keras version : 2.2.4-tf\n", "Datasets dir : /home/pjluc/datasets/fidle\n", "Update keras cache : False\n" ] } ], "source": [ "import numpy as np\n", "import sys\n", "\n", "from modules.RegressionCooker import RegressionCooker \n", "\n", "sys.path.append('..')\n", "import fidle.pwk as pwk\n", "\n", "datasets_dir = pwk.init('02-Gradient-descent')" ] }, { "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 : Wednesday 9 December 2020, 20:16:56\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= 4.996 std= 2.885 min= 0.000 max= 10.000\n", "Y : mean= -55.951 std= 34.012 min=-182.577 max= 68.331\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= 4.996 std= 2.885 min= 0.000 max= 10.000\n", "X normalized : mean= -0.000 std= 1.000 min= -1.732 max= 1.734\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 +14.861 -7.446 +1.696 -3.649 -0.017\n", " 20 +6.779 -4.971 +1.132 -2.436 -0.293\n", " 40 +3.177 -3.319 +0.756 -1.626 -0.478\n", " 60 +1.572 -2.216 +0.505 -1.086 -0.601\n", " 80 +0.856 -1.479 +0.337 -0.725 -0.683\n", " 100 +0.537 -0.987 +0.225 -0.484 -0.738\n", " 120 +0.395 -0.659 +0.150 -0.323 -0.775\n", " 140 +0.332 -0.440 +0.100 -0.216 -0.799\n", " 160 +0.303 -0.294 +0.067 -0.144 -0.815\n", " 180 +0.291 -0.196 +0.045 -0.096 -0.826\n", " 200 +0.285 -0.131 +0.030 -0.064 -0.834\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 +0.279 -0.241 +4.279 -0.089 -0.882\n", " 1 +0.422 -3.712 -4.220 -0.025 -0.820\n", " 2 +0.148 +0.515 -2.084 +0.023 -0.880\n", " 3 +0.373 +4.373 -4.084 +0.022 -0.848\n", " 4 +0.208 -2.005 +4.132 -0.014 -0.861\n", " 5 +0.209 +1.965 -4.472 -0.019 -0.846\n", " 6 +0.374 +0.684 -6.396 +0.002 -0.847\n", " 7 +0.226 +2.108 -1.949 +0.000 -0.850\n", " 8 +0.152 -2.226 -1.211 +0.005 -0.840\n", " 9 +0.307 +3.815 +3.345 +0.004 -0.853\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": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "End time is : Wednesday 9 December 2020, 20:17:00\n", "Duration is : 00:00:03 279ms\n", "This notebook ends here\n" ] } ], "source": [ "pwk.end()" ] }, { "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }