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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": {},
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"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 : Saturday 22 February 2020, 12:17:36\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= 4.999 std= 2.888 min= 0.000 max= 10.000\n",
"Y : mean= -94.002 std= 66.170 min=-350.802 max= 152.809\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= 4.999 std= 2.888 min= 0.000 max= 10.000\n",
"X normalized : mean= -0.000 std= 1.000 min= -1.731 max= 1.732\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": [
" #i Loss Gradient Theta\n",
" 0 +16.062 -7.762 +1.658 -3.803 -0.017\n",
" 20 +7.332 -5.182 +1.107 -2.539 -0.287\n",
" 40 +3.441 -3.459 +0.739 -1.695 -0.467\n",
" 60 +1.707 -2.310 +0.493 -1.132 -0.587\n",
" 80 +0.934 -1.542 +0.329 -0.756 -0.668\n",
" 100 +0.590 -1.029 +0.220 -0.504 -0.721\n",
" 120 +0.436 -0.687 +0.147 -0.337 -0.757\n",
" 140 +0.368 -0.459 +0.098 -0.225 -0.781\n",
" 160 +0.337 -0.306 +0.065 -0.150 -0.797\n",
" 180 +0.324 -0.204 +0.044 -0.100 -0.808\n",
" 200 +0.318 -0.137 +0.029 -0.067 -0.815\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>"
]
"data": {
"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": [
" #i Loss Gradient Theta\n",
" 0 +0.515 -1.066 +2.124 +0.080 -0.723\n",
" 1 +0.213 +0.436 -1.819 -0.021 -0.768\n",
" 2 +0.371 -0.782 +0.725 +0.001 -0.798\n",
" 3 +0.434 +4.678 -4.889 +0.021 -0.805\n",
" 4 +0.535 +7.947 -0.935 +0.048 -0.790\n",
" 5 +0.498 +0.313 -5.674 +0.026 -0.803\n",
" 6 +0.373 +2.340 -4.394 +0.020 -0.784\n",
" 7 +0.307 -4.933 +7.125 +0.007 -0.811\n",
" 8 +0.277 -1.578 -2.536 -0.001 -0.826\n",
" 9 +0.281 -0.940 -0.107 -0.001 -0.845\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
}