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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img width=\"800px\" src=\"../fidle/img/00-Fidle-header-01.svg\"></img>\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",
"and $\\Theta = (a,b)$ a vector as y = a.x + b\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",
]
}
],
"source": [
"cooker = RegressionCooker()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 2 - Get a dataset"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"text/markdown": [
"### Dataset :"
"<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": {
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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= 4.997 std= 2.887 min= 0.000 max= 10.000\n",
"Y : mean= -23.968 std= 31.201 min=-173.004 max= 123.967\n"
"X,Y = cooker.get_dataset(1000000)\n",
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 3 : Data normalization"
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"X origine : mean= 4.997 std= 2.887 min= 0.000 max= 10.000\n",
"X normalized : mean= -0.000 std= 1.000 min= -1.731 max= 1.733\n"
"X_norm = ( X - X.mean() ) / X.std()\n",
"Y_norm = ( Y - Y.mean() ) / Y.std()\n",
"cooker.vector_infos('X origine',X)\n",
"cooker.vector_infos('X normalized',X_norm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"metadata": {},
"outputs": [
{
"data": {
"text/markdown": [
"### Basic gradient descent :"
],
"text/plain": [
"<IPython.core.display.Markdown object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/markdown": [
"**With :** "
],
"<IPython.core.display.Markdown object>"
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"with :\n",
" epochs = 200\n",
" eta = 0.01\n"
]
},
{
"data": {
"text/markdown": [
],
"text/plain": [
"<IPython.core.display.Markdown object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0 +23.817 -9.553 +0.742 -4.681 -0.007\n",
" 20 +11.093 -6.378 +0.495 -3.125 -0.128\n",
" 40 +5.422 -4.258 +0.331 -2.086 -0.209\n",
" 60 +2.895 -2.843 +0.221 -1.393 -0.263\n",
" 80 +1.768 -1.898 +0.147 -0.930 -0.299\n",
" 100 +1.266 -1.267 +0.098 -0.621 -0.323\n",
" 120 +1.042 -0.846 +0.066 -0.414 -0.339\n",
" 140 +0.943 -0.565 +0.044 -0.277 -0.350\n",
" 160 +0.898 -0.377 +0.029 -0.185 -0.357\n",
" 180 +0.878 -0.252 +0.020 -0.123 -0.361\n",
" 200 +0.869 -0.168 +0.013 -0.082 -0.365\n"
"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>"
]
"image/png": 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\n",
"text/plain": [
"<Figure size 576x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
"theta = cooker.basic_descent(X_norm, Y_norm, epochs=200, eta=0.01)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 5 - Minibatch descent"
{
"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"
"text/markdown": [
"**epochs :** "
],
"<IPython.core.display.Markdown object>"
]
},
"metadata": {},
"output_type": "display_data"
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0 +0.408 +3.559 +0.988 -0.057 -0.309\n",
" 1 +0.650 -4.347 +2.463 -0.023 -0.304\n",
" 2 +0.896 -7.067 +0.926 -0.065 -0.346\n",
" 3 +1.240 +0.418 +5.698 -0.018 -0.370\n",
" 4 +1.031 +5.688 -9.851 +0.027 -0.391\n",
" 5 +1.095 +5.490 +0.184 +0.040 -0.397\n",
" 6 +0.395 -5.822 +7.940 +0.066 -0.361\n",
" 7 +1.139 +9.341 +7.889 +0.057 -0.391\n",
" 8 +0.659 -3.728 -1.985 +0.053 -0.392\n",
" 9 +0.395 -2.076 +5.453 +0.039 -0.386\n"
"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"
"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
}